TSTP Solution File: SWW343+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW343+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 : n012.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 14:40:25 EDT 2024
% Result : Theorem 13.05s 13.22s
% Output : Proof 13.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW343+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Mar 21 01:36:00 EDT 2024
% 0.12/0.33 % CPUTime :
% 13.05/13.22 % SZS status Theorem for theBenchmark
% 13.05/13.22 % SZS output start Proof for theBenchmark
% 13.05/13.22
% 13.05/13.22 % Formula: fact_ext ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_triple__valid__Suc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u3, hAPP(c_Nat_OSuc, _u4), _u5) | c_Hoare__Mirabelle_Otriple__valid(_u3, _u4, _u5) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OBody ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OBody-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u6)), _u7, _u8, _u9) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u6), _u7, hAPP(c_Nat_OSuc, _u8), _u9) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I9_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I9_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u14), _u16, hAPP(c_Nat_OSuc, _u18), _u20) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u14)), _u16, _u18, _u20) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I9_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u15)), _u17, _u19, _u21) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u15), _u17, hAPP(c_Nat_OSuc, _u19), _u21) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OCall ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OCall-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u22), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u23), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u24, _u23)), _u25, _u26) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u27, _u22, _u24), _u23, _u25, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u26), hAPP(c_Natural_Ogetlocs, _u23))), _u27), hAPP(hAPP(c_Natural_Ogetlocs, _u26), c_Com_ORes))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I10_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I10_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u36, _u38, _u40), _u42, _u44, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u46), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, _u46), c_Com_ORes))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u46), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, _u46), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem2(_u46, _u44, _u42, _u40, _u38, _u36)), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, skolem2(_u46, _u44, _u42, _u40, _u38, _u36)), c_Com_ORes))) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I10_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u36, _u38, _u40), _u42, _u44, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u46), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, _u46), c_Com_ORes))) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u38), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u42), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u40, _u42)), _u44, skolem2(_u46, _u44, _u42, _u40, _u38, _u36)) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I10_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u47), hAPP(c_Natural_Ogetlocs, _u43))), _u37), hAPP(hAPP(c_Natural_Ogetlocs, _u47), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u29), hAPP(c_Natural_Ogetlocs, _u43))), _u37), hAPP(hAPP(c_Natural_Ogetlocs, _u29), c_Com_ORes))) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u39), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u43), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u41, _u43)), _u45, _u29) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u37, _u39, _u41), _u43, _u45, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u47), hAPP(c_Natural_Ogetlocs, _u43))), _u37), hAPP(hAPP(c_Natural_Ogetlocs, _u47), c_Com_ORes))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__Suc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__Suc-1, axiom, ( ~c_Natural_Oevaln(_u48, _u49, _u50, _u51) | c_Natural_Oevaln(_u48, _u49, hAPP(c_Nat_OSuc, _u50), _u51) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Body__triple__valid__Suc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Body__triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u57, _u59, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u57), _u61), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u63))), _u65)) | c_Hoare__Mirabelle_Otriple__valid(_u57, hAPP(c_Nat_OSuc, _u59), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u57), _u61), hAPP(c_Com_Ocom_OBODY, _u63)), _u65)) )).
% 13.05/13.22 cnf(fact_Body__triple__valid__Suc-2, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u58, hAPP(c_Nat_OSuc, _u60), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u58), _u62), hAPP(c_Com_Ocom_OBODY, _u64)), _u66)) | c_Hoare__Mirabelle_Otriple__valid(_u58, _u60, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u58), _u62), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u64))), _u66)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__elim__cases_I7_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__elim__cases_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u68, _u69, _u70), _u71, _u72, _u73) | ( _u73 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem3(_u73, _u72, _u71, _u70, _u69, _u68)), hAPP(c_Natural_Ogetlocs, _u71))), _u68), hAPP(hAPP(c_Natural_Ogetlocs, skolem3(_u73, _u72, _u71, _u70, _u69, _u68)), c_Com_ORes))) )).
% 13.05/13.22 cnf(fact_evaln__elim__cases_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u68, _u69, _u70), _u71, _u72, _u73) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u69), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u71), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u70, _u71)), _u72, skolem3(_u73, _u72, _u71, _u70, _u69, _u68)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__elim__cases_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__elim__cases_I6_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u75), _u76, _u77, _u78) | ( _u77 = hAPP(c_Nat_OSuc, skolem4(_u78, _u77, _u76, _u75))) )).
% 13.05/13.22 cnf(fact_evaln__elim__cases_I6_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u75), _u76, _u77, _u78) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u75)), _u76, skolem4(_u78, _u77, _u76, _u75), _u78) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OCall ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OCall-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u79)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u80), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u81, _u80))), _u82)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u83, _u79, _u81)), _u80), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u82), hAPP(c_Natural_Ogetlocs, _u80))), _u83), hAPP(hAPP(c_Natural_Ogetlocs, _u82), c_Com_ORes)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I10_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u91, _u93, _u95)), _u97), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u99), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, _u99), c_Com_ORes)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u99), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, _u99), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem5(_u99, _u97, _u95, _u93, _u91)), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, skolem5(_u99, _u97, _u95, _u93, _u91)), c_Com_ORes))) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u91, _u93, _u95)), _u97), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u99), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, _u99), c_Com_ORes)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u93)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u97), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u95, _u97))), skolem5(_u99, _u97, _u95, _u93, _u91))) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I10_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u100), hAPP(c_Natural_Ogetlocs, _u98))), _u92), hAPP(hAPP(c_Natural_Ogetlocs, _u100), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u85), hAPP(c_Natural_Ogetlocs, _u98))), _u92), hAPP(hAPP(c_Natural_Ogetlocs, _u85), c_Com_ORes))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u94)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u98), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u96, _u98))), _u85)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u92, _u94, _u96)), _u98), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u100), hAPP(c_Natural_Ogetlocs, _u98))), _u92), hAPP(hAPP(c_Natural_Ogetlocs, _u100), c_Com_ORes)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OLocal ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OLocal-1, axiom, ( ~c_Natural_Oevaln(_u101, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u102), c_Com_Ovname_OLoc(_u103)), hAPP(_u104, _u102)), _u105, _u106) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u103, _u104, _u101), _u102, _u105, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u106), c_Com_Ovname_OLoc(_u103)), hAPP(hAPP(c_Natural_Ogetlocs, _u102), _u103))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OBody ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OBody-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u107))), _u108), _u109)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u107)), _u108), _u109)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc__elim__cases_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc__elim__cases_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u110)), _u111), _u112)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u110))), _u111), _u112)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OLocal ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OLocal-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u113), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u114), c_Com_Ovname_OLoc(_u115)), hAPP(_u116, _u114))), _u117)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u115, _u116, _u113)), _u114), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u117), c_Com_Ovname_OLoc(_u115)), hAPP(hAPP(c_Natural_Ogetlocs, _u114), _u115)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_triple_Oinject-1, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u127), _u129), _u131) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u133), _u135), _u137)) | ( _u127 = _u133) )).
% 13.05/13.22 cnf(fact_triple_Oinject-2, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u127), _u129), _u131) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u133), _u135), _u137)) | ( _u129 = _u135) )).
% 13.05/13.22 cnf(fact_triple_Oinject-3, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u127), _u129), _u131) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u133), _u135), _u137)) | ( _u131 = _u137) )).
% 13.05/13.22 cnf(fact_triple_Oinject-4, axiom, ( ( _u128 != _u134) | ( _u130 != _u136) | ( _u132 != _u138) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u126), _u128), _u130), _u132) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u126), _u134), _u136), _u138)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com__det ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com__det-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u139), _u140), _u141)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u139), _u140), _u142)) | ( _u142 = _u141) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__evalc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__evalc-1, axiom, ( ~c_Natural_Oevaln(_u143, _u144, _u145, _u146) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u143), _u144), _u146)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_eval__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_eval__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u152), _u154), _u156)) | c_Natural_Oevaln(_u152, _u154, skolem6(_u156, _u154, _u152), _u156) )).
% 13.05/13.22 cnf(fact_eval__eq-2, axiom, ( ~c_Natural_Oevaln(_u153, _u155, _u148, _u157) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u153), _u155), _u157)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u165, _u167, _u169)), _u171), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u173), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u173), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem7(_u173, _u171, _u169, _u167, _u165)), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165))) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u165, _u167, _u169)), _u171), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u173), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u169), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u171), c_Com_Ovname_OLoc(_u165)), hAPP(_u167, _u171))), skolem7(_u173, _u171, _u169, _u167, _u165))) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I3_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u174), c_Com_Ovname_OLoc(_u166)), hAPP(hAPP(c_Natural_Ogetlocs, _u172), _u166)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u159), c_Com_Ovname_OLoc(_u166)), hAPP(hAPP(c_Natural_Ogetlocs, _u172), _u166))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u170), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u172), c_Com_Ovname_OLoc(_u166)), hAPP(_u168, _u172))), _u159)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u166, _u168, _u170)), _u172), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u174), c_Com_Ovname_OLoc(_u166)), hAPP(hAPP(c_Natural_Ogetlocs, _u172), _u166)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_triple__valid__def2 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_triple__valid__def2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u190, _u177), _u176)) | ~c_Natural_Oevaln(_u192, _u176, _u188, _u175) | hBOOL(hAPP(hAPP(_u194, _u177), _u175)) | ~c_Hoare__Mirabelle_Otriple__valid(_u186, _u188, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u186), _u190), _u192), _u194)) )).
% 13.05/13.22 cnf(fact_triple__valid__def2-2, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u187, _u189, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u187), _u191), _u193), _u195)) | hBOOL(hAPP(hAPP(_u191, skolem8(_u195, _u193, _u191, _u189)), skolem9(_u195, _u193, _u191, _u189))) )).
% 13.05/13.22 cnf(fact_triple__valid__def2-3, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u187, _u189, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u187), _u191), _u193), _u195)) | c_Natural_Oevaln(_u193, skolem9(_u195, _u193, _u191, _u189), _u189, skolem10(_u195, _u193, _u191, _u189)) )).
% 13.05/13.22 cnf(fact_triple__valid__def2-4, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u187, _u189, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u187), _u191), _u193), _u195)) | ~hBOOL(hAPP(hAPP(_u195, skolem8(_u195, _u193, _u191, _u189)), skolem10(_u195, _u193, _u191, _u189))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I9_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u199)), _u201), _u203)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u199))), _u201), _u203)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u200))), _u202), _u204)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u200)), _u202), _u204)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I3_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u213, _u215, _u217), _u219, _u221, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u223), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u223), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem11(_u223, _u221, _u219, _u217, _u215, _u213)), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213))) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I3_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u213, _u215, _u217), _u219, _u221, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u223), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213))) | c_Natural_Oevaln(_u217, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u219), c_Com_Ovname_OLoc(_u213)), hAPP(_u215, _u219)), _u221, skolem11(_u223, _u221, _u219, _u217, _u215, _u213)) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I3_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u224), c_Com_Ovname_OLoc(_u214)), hAPP(hAPP(c_Natural_Ogetlocs, _u220), _u214)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u206), c_Com_Ovname_OLoc(_u214)), hAPP(hAPP(c_Natural_Ogetlocs, _u220), _u214))) | ~c_Natural_Oevaln(_u218, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u220), c_Com_Ovname_OLoc(_u214)), hAPP(_u216, _u220)), _u222, _u206) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u214, _u216, _u218), _u220, _u222, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u224), c_Com_Ovname_OLoc(_u214)), hAPP(hAPP(c_Natural_Ogetlocs, _u220), _u214))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc__elim__cases_I7_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc__elim__cases_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u226, _u227, _u228)), _u229), _u230)) | ( _u230 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem12(_u230, _u229, _u228, _u227, _u226)), hAPP(c_Natural_Ogetlocs, _u229))), _u226), hAPP(hAPP(c_Natural_Ogetlocs, skolem12(_u230, _u229, _u228, _u227, _u226)), c_Com_ORes))) )).
% 13.05/13.22 cnf(fact_evalc__elim__cases_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u226, _u227, _u228)), _u229), _u230)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u227)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u229), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u228, _u229))), skolem12(_u230, _u229, _u228, _u227, _u226))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc__elim__cases_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc__elim__cases_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u232, _u233, _u234)), _u235), _u236)) | ( _u236 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem13(_u236, _u235, _u234, _u233, _u232)), c_Com_Ovname_OLoc(_u232)), hAPP(hAPP(c_Natural_Ogetlocs, _u235), _u232))) )).
% 13.05/13.22 cnf(fact_evalc__elim__cases_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u232, _u233, _u234)), _u235), _u236)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u234), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u235), c_Com_Ovname_OLoc(_u232)), hAPP(_u233, _u235))), skolem13(_u236, _u235, _u234, _u233, _u232))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__elim__cases_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__elim__cases_I3_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u238, _u239, _u240), _u241, _u242, _u243) | ( _u243 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem14(_u243, _u242, _u241, _u240, _u239, _u238)), c_Com_Ovname_OLoc(_u238)), hAPP(hAPP(c_Natural_Ogetlocs, _u241), _u238))) )).
% 13.05/13.22 cnf(fact_evaln__elim__cases_I3_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u238, _u239, _u240), _u241, _u242, _u243) | c_Natural_Oevaln(_u240, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u241), c_Com_Ovname_OLoc(_u238)), hAPP(_u239, _u241)), _u242, skolem14(_u243, _u242, _u241, _u240, _u239, _u238)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I43_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I43_J-1, axiom, ( ( c_Com_Ocom_OCall(_u244, _u245, _u246) != c_Com_Ocom_OLocal(_u247, _u248, _u249)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I42_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I42_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u250, _u251, _u252) != c_Com_Ocom_OCall(_u253, _u254, _u255)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I40_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I40_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u256, _u257, _u258) != hAPP(c_Com_Ocom_OBODY, _u259)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I63_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I63_J-1, axiom, ( ( c_Com_Ocom_OCall(_u260, _u261, _u262) != hAPP(c_Com_Ocom_OBODY, _u263)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I41_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I41_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u264) != c_Com_Ocom_OLocal(_u265, _u266, _u267)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I62_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I62_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u268) != c_Com_Ocom_OCall(_u269, _u270, _u271)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u272, _u273, _u274, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u272), _u275), _u276), _u277)) = hAPP(hAPP(hAPP(_u274, _u275), _u276), _u277)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u278, _u279, _u280, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u278), _u281), _u282), _u283)) = hAPP(hAPP(hAPP(_u280, _u281), _u282), _u283)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I7_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I7_J-1, axiom, ( ( c_Com_Ocom_OCall(_u290, _u292, _u294) != c_Com_Ocom_OCall(_u296, _u298, _u300)) | ( _u290 = _u296) )).
% 13.05/13.22 cnf(fact_com_Osimps_I7_J-2, axiom, ( ( c_Com_Ocom_OCall(_u290, _u292, _u294) != c_Com_Ocom_OCall(_u296, _u298, _u300)) | ( _u292 = _u298) )).
% 13.05/13.22 cnf(fact_com_Osimps_I7_J-3, axiom, ( ( c_Com_Ocom_OCall(_u290, _u292, _u294) != c_Com_Ocom_OCall(_u296, _u298, _u300)) | ( _u294 = _u300) )).
% 13.05/13.22 cnf(fact_com_Osimps_I7_J-4, axiom, ( ( _u291 != _u297) | ( _u293 != _u299) | ( _u295 != _u301) | ( c_Com_Ocom_OCall(_u291, _u293, _u295) = c_Com_Ocom_OCall(_u297, _u299, _u301)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I6_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u304) != hAPP(c_Com_Ocom_OBODY, _u306)) | ( _u304 = _u306) )).
% 13.05/13.22 cnf(fact_com_Osimps_I6_J-2, axiom, ( ( _u305 != _u307) | ( hAPP(c_Com_Ocom_OBODY, _u305) = hAPP(c_Com_Ocom_OBODY, _u307)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osimps_I2_J-1, axiom, ( ( c_Com_Ovname_OLoc(_u310) != c_Com_Ovname_OLoc(_u312)) | ( _u310 = _u312) )).
% 13.05/13.22 cnf(fact_vname_Osimps_I2_J-2, axiom, ( ( _u311 != _u313) | ( c_Com_Ovname_OLoc(_u311) = c_Com_Ovname_OLoc(_u313)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u320, _u322, _u324) != c_Com_Ocom_OLocal(_u326, _u328, _u330)) | ( _u320 = _u326) )).
% 13.05/13.22 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u320, _u322, _u324) != c_Com_Ocom_OLocal(_u326, _u328, _u330)) | ( _u322 = _u328) )).
% 13.05/13.22 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u320, _u322, _u324) != c_Com_Ocom_OLocal(_u326, _u328, _u330)) | ( _u324 = _u330) )).
% 13.05/13.22 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u321 != _u327) | ( _u323 != _u329) | ( _u325 != _u331) | ( c_Com_Ocom_OLocal(_u321, _u323, _u325) = c_Com_Ocom_OLocal(_u327, _u329, _u331)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Orecs_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Orecs_I2_J-1, axiom, ( ( c_Com_Ovname_Ovname__rec(_u332, _u333, _u334, c_Com_Ovname_OLoc(_u335)) = hAPP(_u334, _u335)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osimps_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osimps_I6_J-1, axiom, ( ( c_Com_Ovname_Ovname__case(_u336, _u337, _u338, c_Com_Ovname_OLoc(_u339)) = hAPP(_u338, _u339)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Body__triple__valid__0 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Body__triple__valid__0-1, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u340, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u340), _u341), hAPP(c_Com_Ocom_OBODY, _u342)), _u343)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OAssign ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OAssign-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u344, _u345)), _u346), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u346), _u344), hAPP(_u345, _u346)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc__elim__cases_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc__elim__cases_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u347, _u348)), _u349), _u350)) | ( _u350 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u349), _u347), hAPP(_u348, _u349))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OAssign ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OAssign-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u351, _u352), _u353, _u354, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u353), _u351), hAPP(_u352, _u353))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__elim__cases_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__elim__cases_I2_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u355, _u356), _u357, _u358, _u359) | ( _u359 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u357), _u355), hAPP(_u356, _u357))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u360 != hAPP(c_Nat_OSuc, _u360)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u361) != _u361) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u364) != hAPP(c_Nat_OSuc, _u366)) | ( _u364 = _u366) )).
% 13.05/13.22 cnf(fact_nat_Oinject-2, axiom, ( ( _u365 != _u367) | ( hAPP(c_Nat_OSuc, _u365) = hAPP(c_Nat_OSuc, _u367)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u368) != hAPP(c_Nat_OSuc, _u369)) | ( _u368 = _u369) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WTs__elim__cases_I8_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WTs__elim__cases_I8_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u371))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u370, _u371, _u372))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WTs__elim__cases_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WTs__elim__cases_I3_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u375)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u373, _u374, _u375))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I1_J-1, axiom, ( ( c_Com_Ocom_OAss(_u380, _u382) != c_Com_Ocom_OAss(_u384, _u386)) | ( _u380 = _u384) )).
% 13.05/13.22 cnf(fact_com_Osimps_I1_J-2, axiom, ( ( c_Com_Ocom_OAss(_u380, _u382) != c_Com_Ocom_OAss(_u384, _u386)) | ( _u382 = _u386) )).
% 13.05/13.22 cnf(fact_com_Osimps_I1_J-3, axiom, ( ( _u381 != _u385) | ( _u383 != _u387) | ( c_Com_Ocom_OAss(_u381, _u383) = c_Com_Ocom_OAss(_u385, _u387)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_Oequations_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u388, _u389))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_OAssign ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_OAssign-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u390, _u391))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u392) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u393)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u394) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u395) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u396)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u397)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_Oequations_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_Oequations_I3_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u405)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u401, _u403, _u405))) )).
% 13.05/13.22 cnf(fact_WT_Oequations_I3_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u406)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u402, _u404, _u406))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_OLocal ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_OLocal-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u407)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u408, _u409, _u407))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I30_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I30_J-1, axiom, ( ( c_Com_Ocom_OAss(_u410, _u411) != hAPP(c_Com_Ocom_OBODY, _u412)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I31_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I31_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u413) != c_Com_Ocom_OAss(_u414, _u415)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I32_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I32_J-1, axiom, ( ( c_Com_Ocom_OAss(_u416, _u417) != c_Com_Ocom_OCall(_u418, _u419, _u420)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I22_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I22_J-1, axiom, ( ( c_Com_Ocom_OAss(_u421, _u422) != c_Com_Ocom_OLocal(_u423, _u424, _u425)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I33_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I33_J-1, axiom, ( ( c_Com_Ocom_OCall(_u426, _u427, _u428) != c_Com_Ocom_OAss(_u429, _u430)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I23_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I23_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u431, _u432, _u433) != c_Com_Ocom_OAss(_u434, _u435)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_Oequations_I8_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_Oequations_I8_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u441))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u439, _u441, _u443))) )).
% 13.05/13.22 cnf(fact_WT_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u442))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u440, _u442, _u444))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_OCall ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_OCall-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u445))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u446, _u445, _u447))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I2_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u448, _u449), _u450, _u451, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u450), _u448), hAPP(_u449, _u450))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u452, _u453)), _u454), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u454), _u452), hAPP(_u453, _u454)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u455, _u456, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u455), _u457), _u458), _u459)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osize_I2_J-1, axiom, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(_u460)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u461)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u461), _u462), _u463), _u464)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osize_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OLoc(_u465)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osimps_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osimps_I5_J-1, axiom, ( ( c_Com_Ovname_Ovname__case(_u466, _u467, _u468, c_Com_Ovname_OGlb(_u469)) = hAPP(_u467, _u469)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Orecs_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Orecs_I1_J-1, axiom, ( ( c_Com_Ovname_Ovname__rec(_u470, _u471, _u472, c_Com_Ovname_OGlb(_u473)) = hAPP(_u471, _u473)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I8_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I8_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u474, _u475, _u476)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I2_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u477, _u478)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I7_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I7_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u479)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I16_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I16_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u480, _u481, _u482)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I10_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I10_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u483, _u484)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I15_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I15_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u485)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osimps_I1_J-1, axiom, ( ( c_Com_Ovname_OGlb(_u488) != c_Com_Ovname_OGlb(_u490)) | ( _u488 = _u490) )).
% 13.05/13.22 cnf(fact_vname_Osimps_I1_J-2, axiom, ( ( _u489 != _u491) | ( c_Com_Ovname_OGlb(_u489) = c_Com_Ovname_OGlb(_u491)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osize_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OGlb(_u492)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osize_I1_J-1, axiom, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(_u493)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osimps_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osimps_I3_J-1, axiom, ( ( c_Com_Ovname_OGlb(_u494) != c_Com_Ovname_OLoc(_u495)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_vname_Osimps_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_vname_Osimps_I4_J-1, axiom, ( ( c_Com_Ovname_OLoc(_u496) != c_Com_Ovname_OGlb(_u497)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u498, _u499, _u500)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u500)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u501, _u502, _u503)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u503)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_OBody ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_OBody-1, axiom, ( ( hAPP(c_Com_Obody, _u504) = c_Option_Ooption_ONone(tc_Com_Ocom)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u504))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_Oequations_I7_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u508))) | ( hAPP(c_Com_Obody, _u508) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem15(_u508))) )).
% 13.05/13.22 cnf(fact_WT_Oequations_I7_J-2, axiom, ( ( hAPP(c_Com_Obody, _u509) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u506)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u509))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u510) | ( c_Groups_Ozero__class_Ozero(_u510) != _u511) | ( _u511 = c_Groups_Ozero__class_Ozero(_u510)) )).
% 13.05/13.22 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u510) | ( _u511 != c_Groups_Ozero__class_Ozero(_u510)) | ( c_Groups_Ozero__class_Ozero(_u510) = _u511) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u512) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u512, _u513, hAPP(c_Nat_OSuc, _u514), _u515) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u512, _u513, _u514, hAPP(_u513, _u515))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I9_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I1_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u516) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u516, _u517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u518) = _u518) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc__evaln ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc__evaln-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u520), _u521), _u522)) | c_Natural_Oevaln(_u520, _u521, skolem16(_u522, _u521, _u520), _u522) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 13.05/13.22 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, _u523))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u524), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u525), _u526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u525)), hAPP(c_Nat_OSuc, _u526))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_lessI ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u527), hAPP(c_Nat_OSuc, _u527))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__elim__cases_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__elim__cases_I1_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u528, _u529, _u530) | ( _u530 = _u528) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OSkip ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OSkip-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u531, _u532, _u531) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OSkip ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OSkip-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u533), _u533)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc__elim__cases_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc__elim__cases_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u534), _u535)) | ( _u535 = _u534) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u536) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), _u537), _u538)), _u539) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), _u537), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), _u538), _u539))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u540) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u542) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u543)) | ( _u542 = _u543) )).
% 13.05/13.22 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u540) | ( _u542 != _u543) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u542) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u543)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u544) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u545), _u546) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u547), _u546)) | ( _u545 = _u547) )).
% 13.05/13.22 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u544) | ( _u545 != _u547) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u545), _u546) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u547), _u546)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u549), _u550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u551), _u550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u549), _u551)) )).
% 13.05/13.22 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u549), _u551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u549), _u550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u551), _u550))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u554)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u555))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), _u554), _u555)) )).
% 13.05/13.22 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), _u554), _u555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u554)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u555))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u556), _u557), _u558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u556), _u557), _u559)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u556), _u558), _u559))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), _u561), _u562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u560), _u563), _u561)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u560), _u563), _u562))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u564), _u565), _u566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u564), _u567), _u568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u564), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u564), _u565), _u567)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u564), _u566), _u568))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u569) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u569), _u570), _u571) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u569), _u570), _u572)) | ( _u571 = _u572) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u573) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u573), _u574), _u575) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u573), _u574), _u576)) | ( _u575 = _u576) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u577) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u577), _u578), _u579) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u577), _u580), _u579)) | ( _u578 = _u580) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u581), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u581), _u582), _u583)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u581), _u584), _u583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u581), _u582), _u584)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u585), _u586), _u587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u585), _u586), _u588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u585), _u587), _u588)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u589), _u590)) | ( _u589 = _u590) | hBOOL(hAPP(hAPP(_u591, _u590), _u589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u590), _u589)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 13.05/13.22 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), _u592), _u593)), _u594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u592), _u594)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u595), _u596)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u597), _u596) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u595), _u598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u597), _u598)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u599), _u600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u601), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u599), _u601)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u600), _u602))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u603), _u604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u603), _u605)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u604), _u605))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u606), _u607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u606), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u608), _u607))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u609), _u610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u609), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u610), _u611))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u612), _u613)) | ( _u612 != _u613) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u614), _u615)) | ( _u615 != _u614) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u616), _u616)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u617), _u618), c_Groups_Ozero__class_Ozero(_u617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u617), _u619), c_Groups_Ozero__class_Ozero(_u617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u617), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u617), _u618), _u619)), c_Groups_Ozero__class_Ozero(_u617))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u620), c_Groups_Ozero__class_Ozero(_u620)), _u621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u620), c_Groups_Ozero__class_Ozero(_u620)), _u622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u620), c_Groups_Ozero__class_Ozero(_u620)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u620), _u621), _u622))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u623 = _u624) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u623), _u624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u624), _u623)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u630), _u632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u628), _u630)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u628), _u632))) )).
% 13.05/13.22 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u631), _u633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u629), _u631)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u629), _u633))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u637), _u639) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u641), _u639)) | ( _u637 = _u641) )).
% 13.05/13.22 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u638 != _u642) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u638), _u640) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u642), _u640)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u648 = _u650) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u646), _u648) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u646), _u650)) )).
% 13.05/13.22 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u649 != _u651) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u647), _u649) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u647), _u651)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 13.05/13.22 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), _u652), _u653)), _u654) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u653), _u654))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656)), c_Groups_Ozero__class_Ozero(_u655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), _u656), c_Groups_Ozero__class_Ozero(_u655))) )).
% 13.05/13.22 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), _u656), c_Groups_Ozero__class_Ozero(_u655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656)), c_Groups_Ozero__class_Ozero(_u655))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u658), _u659)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u657), _u659))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u660), _u661) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u661), _u660)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u662), _u663), _u663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), _u663)) )).
% 13.05/13.22 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), _u663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u662), _u663), _u663))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__neq__iff-1, axiom, ( ( _u666 = _u668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u666), _u668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u668), _u666)) )).
% 13.05/13.22 cnf(fact_nat__neq__iff-2, axiom, ( ( _u667 != _u669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u667), _u669)) )).
% 13.05/13.22 cnf(fact_nat__neq__iff-3, axiom, ( ( _u667 != _u669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u669), _u667)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 13.05/13.22 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), _u670), _u671)), _u671)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 13.05/13.22 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), _u672), _u673)), _u672)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u674), _u674)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 13.05/13.22 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), _u677), _u679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u679)) )).
% 13.05/13.22 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), _u678), _u680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u678)) )).
% 13.05/13.22 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), _u678), _u680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u680)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u681), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u681), _u682)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u683), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u684), _u683)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u689), _u691)) | ( _u691 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u689), skolem17(_u691, _u689)))) )).
% 13.05/13.22 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u692 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u690), _u686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u690), _u692)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u693) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u693), c_Groups_Ozero__class_Ozero(_u693)), _u694) = _u694) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u695) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u695), c_Groups_Ozero__class_Ozero(_u695)), _u696) = _u696) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u697) | ( c_Groups_Ozero__class_Ozero(_u697) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u697), _u698), _u698)) | ( _u698 = c_Groups_Ozero__class_Ozero(_u697)) )).
% 13.05/13.22 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u697) | ( _u698 != c_Groups_Ozero__class_Ozero(_u697)) | ( c_Groups_Ozero__class_Ozero(_u697) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u697), _u698), _u698)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u699) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u699), _u700), c_Groups_Ozero__class_Ozero(_u699)) = _u700) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u701) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u701), _u702), c_Groups_Ozero__class_Ozero(_u701)) = _u702) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 13.05/13.22 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)), _u703) = _u703) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u704), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u704) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u707), _u709) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u707), _u709) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u709 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 cnf(fact_add__is__0-3, axiom, ( ( _u708 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u710 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u708), _u710) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u712 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u711), _u712) != _u711) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u713)), _u714) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u713), hAPP(c_Nat_OSuc, _u714))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u715)), _u716) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u715), _u716))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u717), hAPP(c_Nat_OSuc, _u718)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u717), _u718))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u719), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_neq0__conv-1, axiom, ( ( _u721 = 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)), _u721)) )).
% 13.05/13.22 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)), _u722)) | ( _u722 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u723), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_gr__implies__not0-1, axiom, ( ( _u725 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u724), _u725)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_gr0I-1, axiom, ( ( _u726 = 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)), _u726)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u727)), hAPP(c_Nat_OSuc, _u728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), _u728)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u729)), _u730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u729), _u730)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), hAPP(c_Nat_OSuc, _u732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), _u732)) | ( _u731 = _u732) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u733), _u734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u734), _u735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u733)), _u735)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u736), _u737)) | ( hAPP(c_Nat_OSuc, _u736) = _u737) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u736)), _u737)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), _u739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), hAPP(c_Nat_OSuc, _u739))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u740), _u741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u740), hAPP(c_Nat_OSuc, _u741))) | ( _u741 = _u740) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), _u743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), hAPP(c_Nat_OSuc, _u743))) | ( _u742 = _u743) )).
% 13.05/13.22 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), _u743)) | ( _u742 != _u743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), hAPP(c_Nat_OSuc, _u743))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u746)), hAPP(c_Nat_OSuc, _u748))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u746), _u748)) )).
% 13.05/13.22 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u747)), hAPP(c_Nat_OSuc, _u749))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u752), hAPP(c_Nat_OSuc, _u754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u752), _u754)) | ( _u752 = _u754) )).
% 13.05/13.22 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u753), hAPP(c_Nat_OSuc, _u755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u753), _u755)) )).
% 13.05/13.22 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u753), hAPP(c_Nat_OSuc, _u755))) | ( _u753 != _u755) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u758), _u760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u760), hAPP(c_Nat_OSuc, _u758))) )).
% 13.05/13.22 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u761), hAPP(c_Nat_OSuc, _u759))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u759), _u761)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I1_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u762, _u763, _u762) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u764), _u764)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_OSkip ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_OSkip-1, axiom, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I19_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I19_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u765) != c_Com_Ocom_OSKIP) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I18_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I18_J-1, axiom, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u766)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I9_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I9_J-1, axiom, ( ( c_Com_Ocom_OAss(_u767, _u768) != c_Com_Ocom_OSKIP) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I8_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I8_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u769, _u770)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I20_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I20_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u771, _u772, _u773)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u774, _u775, _u776)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I21_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I21_J-1, axiom, ( ( c_Com_Ocom_OCall(_u777, _u778, _u779) != c_Com_Ocom_OSKIP) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u780, _u781, _u782) != c_Com_Ocom_OSKIP) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 13.05/13.22 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), _u785), _u787)) | ( _u785 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u785 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 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), _u785), _u787)) | ( _u785 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u787 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22 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), _u785), _u787)) | ( _u787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u785 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 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), _u785), _u787)) | ( _u787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u787 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22 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), _u786), _u788)) | ( _u786 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 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), _u786), _u788)) | ( _u786 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u788 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u793 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u793 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u793 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u793 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u792), _u794) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u792 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u794 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u792), _u794) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u792 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u794 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 13.05/13.22 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)), _u798)) | ( _u798 = hAPP(c_Nat_OSuc, skolem18(_u798))) )).
% 13.05/13.22 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u799 != hAPP(c_Nat_OSuc, _u796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u799)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u801), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u801 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 cnf(fact_less__Suc0-2, axiom, ( ( _u802 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u802), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u807), hAPP(c_Nat_OSuc, _u809))) | ( _u807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u807 = hAPP(c_Nat_OSuc, skolem19(_u809, _u807))) )).
% 13.05/13.22 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u807), hAPP(c_Nat_OSuc, _u809))) | ( _u807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem19(_u809, _u807)), _u809)) )).
% 13.05/13.22 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u808), hAPP(c_Nat_OSuc, _u810))) | ( _u808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u808), hAPP(c_Nat_OSuc, _u810))) | ( _u808 != hAPP(c_Nat_OSuc, _u804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u804), _u810)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT__bodiesD ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT__bodiesD-1, axiom, ( ~c_Com_OWT__bodies | hBOOL(hAPP(c_Com_OWT, _u812)) | ( hAPP(c_Com_Obody, _u811) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u812)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u813), c_Groups_Ozero__class_Ozero(_u813)), _u814)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u813), _u815), _u816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u813), _u815), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u813), _u814), _u816))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) )).
% 13.05/13.22 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WTs__elim__cases_I7_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WTs__elim__cases_I7_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u820))) | ( hAPP(c_Com_Obody, _u820) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem20(_u820))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_the_Osimps ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_the_Osimps-1, axiom, ( ( hAPP(c_Option_Othe(_u821), hAPP(c_Option_Ooption_OSome(_u821), _u822)) = _u822) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osimps_I2_J-1, axiom, ( ( c_Option_Ooption_ONone(_u823) != hAPP(c_Option_Ooption_OSome(_u823), _u824)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osimps_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osimps_I3_J-1, axiom, ( ( hAPP(c_Option_Ooption_OSome(_u825), _u826) != c_Option_Ooption_ONone(_u825)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_not__Some__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_not__Some__eq-1, axiom, ( ( _u831 = hAPP(c_Option_Ooption_OSome(_u833), skolem21(_u833, _u831))) | ( _u831 = c_Option_Ooption_ONone(_u833)) )).
% 13.05/13.22 cnf(fact_not__Some__eq-2, axiom, ( ( _u832 != c_Option_Ooption_ONone(_u834)) | ( _u832 != hAPP(c_Option_Ooption_OSome(_u834), _u828)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_not__None__eq ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_not__None__eq-1, axiom, ( ( _u839 = c_Option_Ooption_ONone(_u841)) | ( _u839 = hAPP(c_Option_Ooption_OSome(_u841), skolem22(_u841, _u839))) )).
% 13.05/13.22 cnf(fact_not__None__eq-2, axiom, ( ( _u840 != hAPP(c_Option_Ooption_OSome(_u842), _u836)) | ( _u840 != c_Option_Ooption_ONone(_u842)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osize_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u843, _u844, hAPP(c_Option_Ooption_OSome(_u843), _u845)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u844, _u845)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u846), _u847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u847), _u848))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u849) | ( _u850 = _u851) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u849), _u850), _u851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u849), _u851), _u850)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osize_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u852, _u853, c_Option_Ooption_ONone(_u852)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Oinject ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Oinject-1, axiom, ( ( _u859 = _u861) | ( hAPP(c_Option_Ooption_OSome(_u857), _u859) != hAPP(c_Option_Ooption_OSome(_u857), _u861)) )).
% 13.05/13.22 cnf(fact_option_Oinject-2, axiom, ( ( _u860 != _u862) | ( hAPP(c_Option_Ooption_OSome(_u858), _u860) = hAPP(c_Option_Ooption_OSome(_u858), _u862)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u863) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u863), _u864), _u864) != c_Groups_Ozero__class_Ozero(_u863)) | ( _u864 = c_Groups_Ozero__class_Ozero(_u863)) )).
% 13.05/13.22 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u863) | ( _u864 != c_Groups_Ozero__class_Ozero(_u863)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u863), _u864), _u864) = c_Groups_Ozero__class_Ozero(_u863)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u865), _u866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u867), _u866))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u868)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u868)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u869)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u869)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osize_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u870)), hAPP(c_Option_Ooption_OSome(_u870), _u871)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osize_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u872)), c_Option_Ooption_ONone(_u872)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u873) | ( _u874 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u873), _u874), _u875)) | ( _u875 = c_Groups_Ozero__class_Ozero(_u873)) )).
% 13.05/13.22 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u873) | ( _u875 != c_Groups_Ozero__class_Ozero(_u873)) | ( _u874 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u873), _u874), _u875)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u876) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u876), _u877), c_Groups_Ozero__class_Ozero(_u876)) = _u877) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u878) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u878), c_Groups_Ozero__class_Ozero(_u878)), _u879) = _u879) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u880, _u881)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u880)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u881))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u882, _u883)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u882)), c_Com_Ocom_Ocom__size(_u883))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u884, _u885, _u886)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u885)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u886))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u887, _u888, _u889)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u888)), c_Com_Ocom_Ocom__size(_u889))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln__elim__cases_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln__elim__cases_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u890, _u891, _u892), _u893, _u894, _u895) | hBOOL(hAPP(_u890, _u893)) | c_Natural_Oevaln(_u892, _u893, _u894, _u895) )).
% 13.05/13.22 cnf(fact_evaln__elim__cases_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u890, _u891, _u892), _u893, _u894, _u895) | c_Natural_Oevaln(_u891, _u893, _u894, _u895) | ~hBOOL(hAPP(_u890, _u893)) )).
% 13.05/13.22 cnf(fact_evaln__elim__cases_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u890, _u891, _u892), _u893, _u894, _u895) | c_Natural_Oevaln(_u891, _u893, _u894, _u895) | c_Natural_Oevaln(_u892, _u893, _u894, _u895) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OIfTrue ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u896, _u897)) | ~c_Natural_Oevaln(_u898, _u897, _u899, _u900) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u896, _u898, _u901), _u897, _u899, _u900) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OIfFalse ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OIfFalse-1, axiom, ( hBOOL(hAPP(_u902, _u903)) | ~c_Natural_Oevaln(_u904, _u903, _u905, _u906) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u902, _u907, _u904), _u903, _u905, _u906) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OIfFalse ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OIfFalse-1, axiom, ( hBOOL(hAPP(_u908, _u909)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u910), _u909), _u911)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u908, _u912, _u910)), _u909), _u911)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OIfTrue ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u913, _u914)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u915), _u914), _u916)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u913, _u915, _u917)), _u914), _u916)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc__elim__cases_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u918, _u919, _u920)), _u921), _u922)) | hBOOL(hAPP(_u918, _u921)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u920), _u921), _u922)) )).
% 13.05/13.22 cnf(fact_evalc__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u918, _u919, _u920)), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u919), _u921), _u922)) | ~hBOOL(hAPP(_u918, _u921)) )).
% 13.05/13.22 cnf(fact_evalc__elim__cases_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u918, _u919, _u920)), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u919), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u920), _u921), _u922)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OSemi ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OSemi-1, axiom, ( ~c_Natural_Oevaln(_u923, _u924, _u925, _u926) | ~c_Natural_Oevaln(_u927, _u926, _u925, _u928) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u923, _u927), _u924, _u925, _u928) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_OSemi ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_OSemi-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u929), _u930), _u931)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u932), _u931), _u933)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u929, _u932)), _u930), _u933)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WTs__elim__cases_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WTs__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u934, _u935, _u936))) | hBOOL(hAPP(c_Com_OWT, _u935)) )).
% 13.05/13.22 cnf(fact_WTs__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u934, _u935, _u936))) | hBOOL(hAPP(c_Com_OWT, _u936)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WTs__elim__cases_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WTs__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u937, _u938))) | hBOOL(hAPP(c_Com_OWT, _u937)) )).
% 13.05/13.22 cnf(fact_WTs__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u937, _u938))) | hBOOL(hAPP(c_Com_OWT, _u938)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u945, _u947, _u949) != c_Com_Ocom_OCond(_u951, _u953, _u955)) | ( _u945 = _u951) )).
% 13.05/13.22 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u945, _u947, _u949) != c_Com_Ocom_OCond(_u951, _u953, _u955)) | ( _u947 = _u953) )).
% 13.05/13.22 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u945, _u947, _u949) != c_Com_Ocom_OCond(_u951, _u953, _u955)) | ( _u949 = _u955) )).
% 13.05/13.22 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u946 != _u952) | ( _u948 != _u954) | ( _u950 != _u956) | ( c_Com_Ocom_OCond(_u946, _u948, _u950) = c_Com_Ocom_OCond(_u952, _u954, _u956)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u961, _u963) != c_Com_Ocom_OSemi(_u965, _u967)) | ( _u961 = _u965) )).
% 13.05/13.22 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u961, _u963) != c_Com_Ocom_OSemi(_u965, _u967)) | ( _u963 = _u967) )).
% 13.05/13.22 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u962 != _u966) | ( _u964 != _u968) | ( c_Com_Ocom_OSemi(_u962, _u964) = c_Com_Ocom_OSemi(_u966, _u968)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u969, _u970, _u971) != c_Com_Ocom_OSemi(_u972, _u973)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u974, _u975) != c_Com_Ocom_OCond(_u976, _u977, _u978)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u979) = _u979) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I6_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u986, _u988, _u990), _u992, _u994, _u996) | hBOOL(hAPP(_u986, _u992)) | c_Natural_Oevaln(_u990, _u992, _u994, _u996) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I6_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u986, _u988, _u990), _u992, _u994, _u996) | c_Natural_Oevaln(_u988, _u992, _u994, _u996) | ~hBOOL(hAPP(_u986, _u992)) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I6_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u986, _u988, _u990), _u992, _u994, _u996) | c_Natural_Oevaln(_u988, _u992, _u994, _u996) | c_Natural_Oevaln(_u990, _u992, _u994, _u996) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I6_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u987, _u989, _u991), _u993, _u995, _u997) | ~hBOOL(hAPP(_u987, _u993)) | ~c_Natural_Oevaln(_u989, _u993, _u995, _u997) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I6_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u987, _u989, _u991), _u993, _u995, _u997) | hBOOL(hAPP(_u987, _u993)) | ~c_Natural_Oevaln(_u991, _u993, _u995, _u997) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u1004, _u1006, _u1008), _u1010, _u1012, _u1014) | hBOOL(hAPP(_u1004, _u1010)) | c_Natural_Oevaln(_u1008, _u1010, _u1012, _u1014) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u1004, _u1006, _u1008), _u1010, _u1012, _u1014) | c_Natural_Oevaln(_u1006, _u1010, _u1012, _u1014) | ~hBOOL(hAPP(_u1004, _u1010)) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u1004, _u1006, _u1008), _u1010, _u1012, _u1014) | c_Natural_Oevaln(_u1006, _u1010, _u1012, _u1014) | c_Natural_Oevaln(_u1008, _u1010, _u1012, _u1014) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I5_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u1005, _u1007, _u1009), _u1011, _u1013, _u1015) | ~hBOOL(hAPP(_u1005, _u1011)) | ~c_Natural_Oevaln(_u1007, _u1011, _u1013, _u1015) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I5_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u1005, _u1007, _u1009), _u1011, _u1013, _u1015) | hBOOL(hAPP(_u1005, _u1011)) | ~c_Natural_Oevaln(_u1009, _u1011, _u1013, _u1015) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1021, _u1023, _u1025)), _u1027), _u1029)) | hBOOL(hAPP(_u1021, _u1027)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1025), _u1027), _u1029)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1021, _u1023, _u1025)), _u1027), _u1029)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1023), _u1027), _u1029)) | ~hBOOL(hAPP(_u1021, _u1027)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1021, _u1023, _u1025)), _u1027), _u1029)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1023), _u1027), _u1029)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1025), _u1027), _u1029)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I5_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1022, _u1024, _u1026)), _u1028), _u1030)) | ~hBOOL(hAPP(_u1022, _u1028)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1024), _u1028), _u1030)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I5_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1022, _u1024, _u1026)), _u1028), _u1030)) | hBOOL(hAPP(_u1022, _u1028)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1026), _u1028), _u1030)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1036, _u1038, _u1040)), _u1042), _u1044)) | hBOOL(hAPP(_u1036, _u1042)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1040), _u1042), _u1044)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1036, _u1038, _u1040)), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1038), _u1042), _u1044)) | ~hBOOL(hAPP(_u1036, _u1042)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1036, _u1038, _u1040)), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1038), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1040), _u1042), _u1044)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I6_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1037, _u1039, _u1041)), _u1043), _u1045)) | ~hBOOL(hAPP(_u1037, _u1043)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1039), _u1043), _u1045)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I6_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1037, _u1039, _u1041)), _u1043), _u1045)) | hBOOL(hAPP(_u1037, _u1043)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1041), _u1043), _u1045)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_OIf ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_OIf-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u1046)) | ~hBOOL(hAPP(c_Com_OWT, _u1047)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1048, _u1046, _u1047))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_Oequations_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1052, _u1054, _u1056))) | hBOOL(hAPP(c_Com_OWT, _u1054)) )).
% 13.05/13.22 cnf(fact_WT_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1052, _u1054, _u1056))) | hBOOL(hAPP(c_Com_OWT, _u1056)) )).
% 13.05/13.22 cnf(fact_WT_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u1055)) | ~hBOOL(hAPP(c_Com_OWT, _u1057)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1053, _u1055, _u1057))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I54_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I54_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1058, _u1059, _u1060) != hAPP(c_Com_Ocom_OBODY, _u1061)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I55_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I55_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u1062) != c_Com_Ocom_OCond(_u1063, _u1064, _u1065)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_Oequations_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_Oequations_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1073, _u1075), _u1077, _u1079, _u1081) | c_Natural_Oevaln(_u1073, _u1077, _u1079, skolem23(_u1081, _u1079, _u1077, _u1075, _u1073)) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1073, _u1075), _u1077, _u1079, _u1081) | c_Natural_Oevaln(_u1075, skolem23(_u1081, _u1079, _u1077, _u1075, _u1073), _u1079, _u1081) )).
% 13.05/13.22 cnf(fact_evaln_Oequations_I4_J-3, axiom, ( ~c_Natural_Oevaln(_u1074, _u1078, _u1080, _u1067) | ~c_Natural_Oevaln(_u1076, _u1067, _u1080, _u1082) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1074, _u1076), _u1078, _u1080, _u1082) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evalc_Oequations_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evalc_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1089, _u1091)), _u1093), _u1095)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1089), _u1093), skolem24(_u1095, _u1093, _u1091, _u1089))) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1089, _u1091)), _u1093), _u1095)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1091), skolem24(_u1095, _u1093, _u1091, _u1089)), _u1095)) )).
% 13.05/13.22 cnf(fact_evalc_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1090), _u1094), _u1084)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1092), _u1084), _u1096)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1090, _u1092)), _u1094), _u1096)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_OSemi ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_OSemi-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u1097)) | ~hBOOL(hAPP(c_Com_OWT, _u1098)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1097, _u1098))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_WT_Oequations_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_WT_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1101, _u1103))) | hBOOL(hAPP(c_Com_OWT, _u1101)) )).
% 13.05/13.22 cnf(fact_WT_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1101, _u1103))) | hBOOL(hAPP(c_Com_OWT, _u1103)) )).
% 13.05/13.22 cnf(fact_WT_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u1102)) | ~hBOOL(hAPP(c_Com_OWT, _u1104)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1102, _u1104))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I48_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I48_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1105, _u1106) != hAPP(c_Com_Ocom_OBODY, _u1107)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I49_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I49_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u1108) != c_Com_Ocom_OSemi(_u1109, _u1110)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I27_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I27_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1111, _u1112, _u1113) != c_Com_Ocom_OAss(_u1114, _u1115)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I26_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I26_J-1, axiom, ( ( c_Com_Ocom_OAss(_u1116, _u1117) != c_Com_Ocom_OCond(_u1118, _u1119, _u1120)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I57_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I57_J-1, axiom, ( ( c_Com_Ocom_OCall(_u1121, _u1122, _u1123) != c_Com_Ocom_OCond(_u1124, _u1125, _u1126)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I56_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I56_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1127, _u1128, _u1129) != c_Com_Ocom_OCall(_u1130, _u1131, _u1132)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1133, _u1134, _u1135) != c_Com_Ocom_OLocal(_u1136, _u1137, _u1138)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1139, _u1140, _u1141) != c_Com_Ocom_OCond(_u1142, _u1143, _u1144)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1145, _u1146, _u1147) != c_Com_Ocom_OSKIP) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u1148, _u1149, _u1150)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I25_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I25_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1151, _u1152) != c_Com_Ocom_OAss(_u1153, _u1154)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I24_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I24_J-1, axiom, ( ( c_Com_Ocom_OAss(_u1155, _u1156) != c_Com_Ocom_OSemi(_u1157, _u1158)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I50_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I50_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1159, _u1160) != c_Com_Ocom_OCall(_u1161, _u1162, _u1163)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1164, _u1165) != c_Com_Ocom_OLocal(_u1166, _u1167, _u1168)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I51_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I51_J-1, axiom, ( ( c_Com_Ocom_OCall(_u1169, _u1170, _u1171) != c_Com_Ocom_OSemi(_u1172, _u1173)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1174, _u1175, _u1176) != c_Com_Ocom_OSemi(_u1177, _u1178)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1179, _u1180) != c_Com_Ocom_OSKIP) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u1181, _u1182)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 13.05/13.22 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)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1183) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1183), _u1184), _u1185) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1183), _u1185), _u1184)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1186) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1187), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1188), _u1189)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1187), _u1189))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1190) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), _u1191), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), _u1192), _u1193)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), _u1191), _u1192)), _u1193)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1194) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), _u1195), _u1196)), _u1197) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), _u1195), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), _u1196), _u1197))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1198) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), _u1199), _u1200)), _u1201) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), _u1199), _u1201)), _u1200)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1202) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1203), _u1204)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1205), _u1206)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1203), _u1205)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1204), _u1206))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 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)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Orecs_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Orecs_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u1207, _u1208, _u1209, _u1210, hAPP(c_Option_Ooption_OSome(_u1208), _u1211)) = hAPP(_u1210, _u1211)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osimps_I5_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osimps_I5_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1212, _u1213, _u1214, _u1215), hAPP(c_Option_Ooption_OSome(_u1213), _u1216)) = hAPP(_u1215, _u1216)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Orecs_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Orecs_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u1217, _u1218, _u1219, _u1220, c_Option_Ooption_ONone(_u1218)) = _u1219) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_option_Osimps_I4_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_option_Osimps_I4_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1221, _u1222, _u1223, _u1224), c_Option_Ooption_ONone(_u1222)) = _u1223) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u1225, _u1226)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1226)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u1227, _u1228)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1228)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_is__none__code_I2_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_is__none__code_I2_J-1, axiom, ( ~c_Option_Ois__none(_u1229, hAPP(c_Option_Ooption_OSome(_u1229), _u1230)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_is__none__code_I1_J ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_is__none__code_I1_J-1, axiom, ( c_Option_Ois__none(_u1231, c_Option_Ooption_ONone(_u1231)) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_is__none__def ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_is__none__def-1, axiom, ( ~c_Option_Ois__none(_u1234, _u1236) | ( _u1236 = c_Option_Ooption_ONone(_u1234)) )).
% 13.05/13.22 cnf(fact_is__none__def-2, axiom, ( ( _u1237 != c_Option_Ooption_ONone(_u1235)) | c_Option_Ois__none(_u1235, _u1237) )).
% 13.05/13.22
% 13.05/13.22 % Formula: fact_evaln_OWhileFalse ( axiom ) converted to clauses:
% 13.05/13.22 cnf(fact_evaln_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u1238, _u1239)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1238, _u1240), _u1239, _u1241, _u1239) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evaln_OWhileTrue ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evaln_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u1242, _u1243)) | ~c_Natural_Oevaln(_u1244, _u1243, _u1245, _u1246) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1242, _u1244), _u1246, _u1245, _u1247) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1242, _u1244), _u1243, _u1245, _u1247) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evalc_OWhileTrue ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evalc_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u1248, _u1249)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1250), _u1249), _u1251)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1248, _u1250)), _u1251), _u1252)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1248, _u1250)), _u1249), _u1252)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evalc_OWhileFalse ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evalc_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u1253, _u1254)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1253, _u1255)), _u1254), _u1254)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_WTs__elim__cases_I6_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_WTs__elim__cases_I6_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u1257)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1256, _u1257))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1262, _u1264) != c_Com_Ocom_OWhile(_u1266, _u1268)) | ( _u1262 = _u1266) )).
% 13.05/13.23 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u1262, _u1264) != c_Com_Ocom_OWhile(_u1266, _u1268)) | ( _u1264 = _u1268) )).
% 13.05/13.23 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u1263 != _u1267) | ( _u1265 != _u1269) | ( c_Com_Ocom_OWhile(_u1263, _u1265) = c_Com_Ocom_OWhile(_u1267, _u1269)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evaln_Oequations_I7_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evaln_Oequations_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1276, _u1278), _u1280, _u1282, _u1280) | ~hBOOL(hAPP(_u1276, _u1280)) | c_Natural_Oevaln(_u1278, _u1280, _u1282, skolem25(_u1282, _u1280, _u1278, _u1276)) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1276, _u1278), _u1280, _u1282, _u1280) | ~hBOOL(hAPP(_u1276, _u1280)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1276, _u1278), skolem25(_u1282, _u1280, _u1278, _u1276), _u1282, _u1280) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I7_J-3, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1277, _u1279), _u1281, _u1283, _u1281) | hBOOL(hAPP(_u1277, _u1281)) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I7_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1277, _u1279), _u1281, _u1283, _u1281) | ~c_Natural_Oevaln(_u1279, _u1281, _u1283, _u1271) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1277, _u1279), _u1271, _u1283, _u1281) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evaln_Oequations_I8_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evaln_Oequations_I8_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ( _u1299 = _u1295) | hBOOL(hAPP(_u1291, _u1295)) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I8_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ( _u1299 = _u1295) | c_Natural_Oevaln(_u1293, _u1295, _u1297, skolem26(_u1299, _u1297, _u1295, _u1293, _u1291)) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I8_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ( _u1299 = _u1295) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), skolem26(_u1299, _u1297, _u1295, _u1293, _u1291), _u1297, _u1299) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I8_J-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ~hBOOL(hAPP(_u1291, _u1295)) | c_Natural_Oevaln(_u1293, _u1295, _u1297, skolem26(_u1299, _u1297, _u1295, _u1293, _u1291)) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I8_J-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ~hBOOL(hAPP(_u1291, _u1295)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), skolem26(_u1299, _u1297, _u1295, _u1293, _u1291), _u1297, _u1299) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I8_J-6, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1292, _u1294), _u1296, _u1298, _u1300) | ( _u1300 != _u1296) | hBOOL(hAPP(_u1292, _u1296)) )).
% 13.05/13.23 cnf(fact_evaln_Oequations_I8_J-7, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1292, _u1294), _u1296, _u1298, _u1300) | ~hBOOL(hAPP(_u1292, _u1296)) | ~c_Natural_Oevaln(_u1294, _u1296, _u1298, _u1285) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1292, _u1294), _u1285, _u1298, _u1300) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evalc_Oequations_I8_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evalc_Oequations_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ( _u1313 = _u1311) | hBOOL(hAPP(_u1307, _u1311)) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ( _u1313 = _u1311) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1309), _u1311), skolem27(_u1313, _u1311, _u1309, _u1307))) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ( _u1313 = _u1311) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), skolem27(_u1313, _u1311, _u1309, _u1307)), _u1313)) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I8_J-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ~hBOOL(hAPP(_u1307, _u1311)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1309), _u1311), skolem27(_u1313, _u1311, _u1309, _u1307))) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I8_J-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ~hBOOL(hAPP(_u1307, _u1311)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), skolem27(_u1313, _u1311, _u1309, _u1307)), _u1313)) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I8_J-6, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1308, _u1310)), _u1312), _u1314)) | ( _u1314 != _u1312) | hBOOL(hAPP(_u1308, _u1312)) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I8_J-7, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1308, _u1310)), _u1312), _u1314)) | ~hBOOL(hAPP(_u1308, _u1312)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1310), _u1312), _u1302)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1308, _u1310)), _u1302), _u1314)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evalc_Oequations_I7_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evalc_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1320, _u1322)), _u1324), _u1324)) | ~hBOOL(hAPP(_u1320, _u1324)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1322), _u1324), skolem28(_u1324, _u1322, _u1320))) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1320, _u1322)), _u1324), _u1324)) | ~hBOOL(hAPP(_u1320, _u1324)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1320, _u1322)), skolem28(_u1324, _u1322, _u1320)), _u1324)) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I7_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1321, _u1323)), _u1325), _u1325)) | hBOOL(hAPP(_u1321, _u1325)) )).
% 13.05/13.23 cnf(fact_evalc_Oequations_I7_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1321, _u1323)), _u1325), _u1325)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1323), _u1325), _u1316)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1321, _u1323)), _u1316), _u1325)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_WT_Oequations_I6_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_WT_Oequations_I6_J-1, axiom, ( hBOOL(hAPP(c_Com_OWT, _u1330)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1328, _u1330))) )).
% 13.05/13.23 cnf(fact_WT_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u1331)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1329, _u1331))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_While ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_While-1, axiom, ( ~hBOOL(hAPP(c_Com_OWT, _u1332)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1333, _u1332))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I59_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I59_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u1334) != c_Com_Ocom_OWhile(_u1335, _u1336)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I58_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I58_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1337, _u1338) != hAPP(c_Com_Ocom_OBODY, _u1339)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1340, _u1341) != c_Com_Ocom_OCond(_u1342, _u1343, _u1344)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1345, _u1346, _u1347) != c_Com_Ocom_OWhile(_u1348, _u1349)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I28_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I28_J-1, axiom, ( ( c_Com_Ocom_OAss(_u1350, _u1351) != c_Com_Ocom_OWhile(_u1352, _u1353)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I29_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I29_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1354, _u1355) != c_Com_Ocom_OAss(_u1356, _u1357)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1358, _u1359, _u1360) != c_Com_Ocom_OWhile(_u1361, _u1362)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I61_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I61_J-1, axiom, ( ( c_Com_Ocom_OCall(_u1363, _u1364, _u1365) != c_Com_Ocom_OWhile(_u1366, _u1367)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1368, _u1369) != c_Com_Ocom_OLocal(_u1370, _u1371, _u1372)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I60_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I60_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1373, _u1374) != c_Com_Ocom_OCall(_u1375, _u1376, _u1377)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1378, _u1379) != c_Com_Ocom_OWhile(_u1380, _u1381)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1382, _u1383) != c_Com_Ocom_OSemi(_u1384, _u1385)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u1386, _u1387)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1388, _u1389) != c_Com_Ocom_OSKIP) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1390), c_Groups_Ozero__class_Ozero(_u1390)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1390), _u1391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1391)) )).
% 13.05/13.23 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1390), c_Groups_Ozero__class_Ozero(_u1390)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1390), _u1391))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 13.05/13.23 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)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 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)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__imp__Suc__add ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__imp__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1393), _u1394)) | ( _u1394 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1393), skolem29(_u1394, _u1393)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__imp__add__positive ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__imp__add__positive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1396), _u1397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem30(_u1397, _u1396))) )).
% 13.05/13.23 cnf(fact_less__imp__add__positive-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1396), _u1397)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1396), skolem30(_u1397, _u1396)) = _u1397) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_gr0__implies__Suc ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_gr0__implies__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1399)) | ( _u1399 = hAPP(c_Nat_OSuc, skolem31(_u1399))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evalc__elim__cases_I4_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evalc__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1401, _u1402)), _u1403), _u1404)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1401), _u1403), skolem32(_u1404, _u1403, _u1402, _u1401))) )).
% 13.05/13.23 cnf(fact_evalc__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1401, _u1402)), _u1403), _u1404)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1402), skolem32(_u1404, _u1403, _u1402, _u1401)), _u1404)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_lift__Suc__mono__less__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_lift__Suc__mono__less__iff-1, axiom, ( ~class_Orderings_Oorder(_u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, skolem33(_u1409, _u1408, _u1407, _u1406))), hAPP(_u1407, hAPP(c_Nat_OSuc, skolem33(_u1409, _u1408, _u1407, _u1406))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, _u1408)), hAPP(_u1407, _u1409))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1408), _u1409)) )).
% 13.05/13.23 cnf(fact_lift__Suc__mono__less__iff-2, axiom, ( ~class_Orderings_Oorder(_u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, skolem33(_u1409, _u1408, _u1407, _u1406))), hAPP(_u1407, hAPP(c_Nat_OSuc, skolem33(_u1409, _u1408, _u1407, _u1406))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1408), _u1409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, _u1408)), hAPP(_u1407, _u1409))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_lift__Suc__mono__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_lift__Suc__mono__less-1, axiom, ( ~class_Orderings_Oorder(_u1411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), hAPP(_u1412, skolem34(_u1414, _u1413, _u1412, _u1411))), hAPP(_u1412, hAPP(c_Nat_OSuc, skolem34(_u1414, _u1413, _u1412, _u1411))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1413), _u1414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), hAPP(_u1412, _u1413)), hAPP(_u1412, _u1414))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evaln__elim__cases_I4_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evaln__elim__cases_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1416, _u1417), _u1418, _u1419, _u1420) | c_Natural_Oevaln(_u1416, _u1418, _u1419, skolem35(_u1420, _u1419, _u1418, _u1417, _u1416)) )).
% 13.05/13.23 cnf(fact_evaln__elim__cases_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1416, _u1417), _u1418, _u1419, _u1420) | c_Natural_Oevaln(_u1417, skolem35(_u1420, _u1419, _u1418, _u1417, _u1416), _u1419, _u1420) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u1421) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1422) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1423)) | ( _u1422 = _u1423) )).
% 13.05/13.23 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u1421) | ( _u1422 != _u1423) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1422) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1423)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1425) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1425 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u1426 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 13.05/13.23 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)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1431), _u1433)) | ( _u1433 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1431), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem36(_u1433, _u1431))))) )).
% 13.05/13.23 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u1434 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1432), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1428)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1432), _u1434)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1437)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1437), _u1439)) )).
% 13.05/13.23 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1438), _u1440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1438)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1440))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1442)), _u1443)) = 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), _u1441), _u1442))), _u1443)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1444)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1445)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1444), _u1445))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1447))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1447)) )).
% 13.05/13.23 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)), _u1448)) | 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), _u1448))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1449), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1449), _u1450)), c_Groups_Ozero__class_Ozero(_u1449))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u1451) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1451), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1451)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1452), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1452), _u1453)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1452), _u1454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1453), _u1454)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1456), _u1457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1455), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1455), _u1456)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1455), _u1457))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1458), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1459)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1459), _u1460)) )).
% 13.05/13.23 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1459), _u1460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1458), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1459)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1460))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u1461) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1461), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1462), _u1463)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1461), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1461), _u1462)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1461), _u1463))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1464)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1465)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1464), _u1465))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1468)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1470))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1468), _u1470)) )).
% 13.05/13.23 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1469)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1471))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1472), _u1473), _u1473)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1474) | ( _u1475 = _u1476) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1475), _u1476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1476), _u1475)) )).
% 13.05/13.23 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1474) | ( _u1475 != _u1476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1475), _u1476)) )).
% 13.05/13.23 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1474) | ( _u1475 != _u1476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1476), _u1475)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1478), _u1479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1479), _u1478)) | ( _u1478 = _u1479) )).
% 13.05/13.23 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1478), _u1479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1479), _u1478)) )).
% 13.05/13.23 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1478), _u1479)) | ( _u1478 != _u1479) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1480) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1480), _u1481), _u1482)) | ( _u1481 = _u1482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1480), _u1482), _u1481)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1483) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1484), _u1485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1485), _u1484)) | ( _u1485 = _u1484) )).
% 13.05/13.23 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1483) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1484), _u1485)) | ( _u1485 != _u1484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1485), _u1484)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1486) | ( _u1487 = _u1488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1486), _u1487), _u1488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1486), _u1488), _u1487)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1489), _u1490), _u1491)) | ( _u1490 != _u1491) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1492)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1495) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1497)) | ( _u1495 = _u1497) )).
% 13.05/13.23 cnf(fact_int__int__eq-2, axiom, ( ( _u1496 != _u1498) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1496) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1498)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1501) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1503)) | ( _u1501 = _u1503) )).
% 13.05/13.23 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u1502 != _u1504) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1502) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1504)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1505) = _u1505) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1506), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1506) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1507), _u1508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1507), _u1509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1508), _u1509))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1510), _u1511)), _u1512) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1511), _u1512))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1514), _u1515)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1514), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1513), _u1515))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1516), _u1517)) | ( _u1516 = _u1517) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1517), _u1516)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1518), _u1519) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1519), _u1518)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1520), _u1521), _u1522)) | ( _u1521 = _u1522) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1520), _u1522), _u1521)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1524), _u1525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1525), _u1524)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1527), _u1528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1529), _u1527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1529), _u1528)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), _u1531), _u1532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), _u1532), _u1533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), _u1531), _u1533)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1534), _u1535), _u1536)) | ( _u1535 != _u1537) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1534), _u1537), _u1536)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1540)) | ( _u1540 != _u1541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1541)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1542) | ( _u1543 != _u1544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1542), _u1545), _u1544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1542), _u1545), _u1543)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1546) | ( _u1547 != _u1548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1546), _u1548), _u1549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1546), _u1547), _u1549)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1550), _u1551), _u1552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1550), _u1552), _u1551)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1553), _u1554), _u1555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1553), _u1555), _u1554)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1556), _u1557), _u1558)) | ( _u1558 != _u1557) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1559), _u1560), _u1561)) | ( _u1560 != _u1561) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1563), _u1564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1564), _u1563)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1565), _u1566), _u1567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1565), _u1567), _u1566)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem37(_u1569))) )).
% 13.05/13.23 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)), _u1569)) | ( _u1569 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem37(_u1569))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), c_Groups_Ozero__class_Ozero(_u1570)), hAPP(c_Int_Oring__1__class_Oof__int(_u1570), _u1571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1571)) )).
% 13.05/13.23 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), c_Groups_Ozero__class_Ozero(_u1570)), hAPP(c_Int_Oring__1__class_Oof__int(_u1570), _u1571))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1572), hAPP(c_Int_Oring__1__class_Oof__int(_u1572), _u1573)), c_Groups_Ozero__class_Ozero(_u1572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1573), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1573), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1572), hAPP(c_Int_Oring__1__class_Oof__int(_u1572), _u1573)), c_Groups_Ozero__class_Ozero(_u1572))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1574), _u1575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1576)) | 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), _u1576)), _u1574)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1576)), _u1575))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 13.05/13.23 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, _u1577)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u1582, hAPP(c_Int_Onat, _u1584))) | ( _u1584 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1578)) | hBOOL(hAPP(_u1582, _u1578)) )).
% 13.05/13.23 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u1582, hAPP(c_Int_Onat, _u1584))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1584), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1582, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ( _u1585 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem38(_u1585, _u1583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1585), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ( _u1585 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem38(_u1585, _u1583))) | ~hBOOL(hAPP(_u1583, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ~hBOOL(hAPP(_u1583, skolem38(_u1585, _u1583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1585), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ~hBOOL(hAPP(_u1583, skolem38(_u1585, _u1583))) | ~hBOOL(hAPP(_u1583, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 13.05/13.23 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, _u1587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1587)) )).
% 13.05/13.23 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)), _u1588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1588))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 13.05/13.23 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, _u1589)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1590))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1591)) = 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), _u1591))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1593)), _u1593)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1593), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1594), 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)), _u1594)), _u1594)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1595), c_Groups_Oone__class_Oone(_u1595)), _u1596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1595), c_Groups_Oone__class_Oone(_u1595)), _u1597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1595), c_Groups_Oone__class_Oone(_u1595)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1595), _u1596), _u1597))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1598) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1598), _u1599), _u1600)), _u1600) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1598), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1598), _u1599), c_Groups_Oone__class_Oone(_u1598))), _u1600)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1601) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1601), _u1602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1601), _u1603), _u1602)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1601), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1601), _u1603), c_Groups_Oone__class_Oone(_u1601))), _u1602)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1604) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1604), _u1605), _u1605) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1604), c_Groups_Oone__class_Oone(_u1604)), c_Groups_Oone__class_Oone(_u1604))), _u1605)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1608), _u1608)) | ( _u1607 = _u1608) | ( _u1607 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1606), _u1608)) )).
% 13.05/13.23 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1608), _u1608)) | ( _u1607 != _u1608) )).
% 13.05/13.23 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1608), _u1608)) | ( _u1607 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1606), _u1608)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1609), _u1610)), _u1611) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1610), _u1611))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1613) != c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 = c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1612), c_Groups_Oone__class_Oone(_u1612))) )).
% 13.05/13.23 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1613) = c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 != c_Groups_Oone__class_Oone(_u1612)) )).
% 13.05/13.23 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1613) = c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1612), c_Groups_Oone__class_Oone(_u1612))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1614) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1614), hAPP(c_Groups_Ouminus__class_Ouminus(_u1614), _u1615)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1614), _u1616)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1614), _u1615), _u1616)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1617) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1618) != hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1619)) | ( _u1618 = _u1619) )).
% 13.05/13.23 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1617) | ( _u1618 != _u1619) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1618) = hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1619)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1620) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), hAPP(c_Groups_Ouminus__class_Ouminus(_u1620), _u1621)), _u1622) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), _u1621), hAPP(c_Groups_Ouminus__class_Ouminus(_u1620), _u1622))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1623)), _u1624) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1623), _u1624))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1625), _u1626) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1626), _u1625)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1627), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1627) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1628) = _u1628) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u1629) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1630), _u1631)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), hAPP(c_Int_Oring__1__class_Oof__int(_u1629), _u1630)), hAPP(c_Int_Oring__1__class_Oof__int(_u1629), _u1631))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1632) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1632), _u1633), _u1634)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1632), hAPP(c_Groups_Ouminus__class_Ouminus(_u1632), _u1633)), _u1634)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1635) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1635), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1635), _u1636), _u1637)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1635), _u1636), hAPP(c_Groups_Ouminus__class_Ouminus(_u1635), _u1637))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u1638) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1639)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1638), hAPP(c_Int_Oring__1__class_Oof__int(_u1638), _u1639))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1640)) = _u1640) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u1641) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1641), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1641)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1642) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), _u1643), _u1644)), _u1645) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), _u1643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), _u1644), _u1645))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1646) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1647) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1648)) | ( _u1647 = _u1648) )).
% 13.05/13.23 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1646) | ( _u1647 != _u1648) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1647) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1648)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1649) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650) != _u1651) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1651) = _u1650) )).
% 13.05/13.23 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1649) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1651) != _u1650) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650) = _u1651) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1652) | ( _u1653 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1654)) | ( _u1654 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1653)) )).
% 13.05/13.23 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1652) | ( _u1654 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1653)) | ( _u1653 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1654)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1655) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1655), _u1656), c_Groups_Oone__class_Oone(_u1655)) = _u1656) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1657) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), c_Groups_Oone__class_Oone(_u1657)) = _u1658) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1659) | ( c_Groups_Oone__class_Oone(_u1659) != _u1660) | ( _u1660 = c_Groups_Oone__class_Oone(_u1659)) )).
% 13.05/13.23 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1659) | ( _u1660 != c_Groups_Oone__class_Oone(_u1659)) | ( c_Groups_Oone__class_Oone(_u1659) = _u1660) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1661) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1661), c_Groups_Oone__class_Oone(_u1661)), _u1662) = _u1662) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1663) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), c_Groups_Oone__class_Oone(_u1663)), _u1664) = _u1664) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1665) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1665), hAPP(c_Groups_Ouminus__class_Ouminus(_u1665), _u1666)) = _u1666) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1667) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1668), _u1669)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1670), _u1671)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1668), _u1670)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1669), _u1671))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1672) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1673), _u1674)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1675), _u1676)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1673), _u1674)), _u1676))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1677) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1678), _u1679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1680), _u1681)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1680), _u1681)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1682) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), _u1683), _u1684)), _u1685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), _u1683), _u1685)), _u1684)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1686) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1687), _u1688)), _u1689) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1688), _u1689))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1690) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), _u1691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), _u1692), _u1693)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), _u1691), _u1692)), _u1693)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1694) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1696), _u1697)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1695), _u1697))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1698) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1698), _u1699), _u1700) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1698), _u1700), _u1699)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1701) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1701), _u1702), c_Groups_Oone__class_Oone(_u1701)) = _u1702) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1703) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1703), c_Groups_Oone__class_Oone(_u1703)), _u1704) = _u1704) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1705) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1705), _u1706) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1705), hAPP(c_Groups_Ouminus__class_Ouminus(_u1705), c_Groups_Oone__class_Oone(_u1705))), _u1706)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u1707) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1708), _u1709)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1707), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1707), _u1708)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1707), _u1709))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u1710) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1710), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1710)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u1711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1712), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1711), _u1712) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1711), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1711), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1712))))) )).
% 13.05/13.23 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u1711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1712), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1711), _u1712) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1711), hAPP(c_Int_Onat, _u1712))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1713))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1714)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1714), _u1715) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1714 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.23 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)), _u1714)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1714), _u1715) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1715 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.23 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)), _u1714)) | ( _u1714 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1715 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1714), _u1715) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u1716) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1716), c_Groups_Ozero__class_Ozero(_u1716)) = c_Groups_Ozero__class_Ozero(_u1716)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1717) | ( c_Groups_Ozero__class_Ozero(_u1717) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1717), _u1718)) | ( c_Groups_Ozero__class_Ozero(_u1717) = _u1718) )).
% 13.05/13.23 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1717) | ( c_Groups_Ozero__class_Ozero(_u1717) != _u1718) | ( c_Groups_Ozero__class_Ozero(_u1717) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1717), _u1718)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1719) | ( _u1720 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1719), _u1720)) | ( _u1720 = c_Groups_Ozero__class_Ozero(_u1719)) )).
% 13.05/13.23 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1719) | ( _u1720 != c_Groups_Ozero__class_Ozero(_u1719)) | ( _u1720 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1719), _u1720)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1721) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1721), _u1722) != c_Groups_Ozero__class_Ozero(_u1721)) | ( _u1722 = c_Groups_Ozero__class_Ozero(_u1721)) )).
% 13.05/13.23 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1721) | ( _u1722 != c_Groups_Ozero__class_Ozero(_u1721)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1721), _u1722) = c_Groups_Ozero__class_Ozero(_u1721)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1723) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1723), _u1724) != _u1724) | ( _u1724 = c_Groups_Ozero__class_Ozero(_u1723)) )).
% 13.05/13.23 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1723) | ( _u1724 != c_Groups_Ozero__class_Ozero(_u1723)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1723), _u1724) = _u1724) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1726), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1727), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1726))) )).
% 13.05/13.23 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1727), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1726), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1727))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1729)), _u1730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1730)), _u1729)) )).
% 13.05/13.23 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1730)), _u1729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1729)), _u1730)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1732)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), _u1733), _u1732)) )).
% 13.05/13.23 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), _u1733), _u1732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1732)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1733))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u1734) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1734), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1734), _u1735), _u1736)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1734), hAPP(c_Groups_Ouminus__class_Ouminus(_u1734), _u1735)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1734), _u1736))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u1737) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1737), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1737), _u1738), _u1739)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1737), hAPP(c_Groups_Ouminus__class_Ouminus(_u1737), _u1739)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1737), _u1738))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1740) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1740), _u1741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1740), hAPP(c_Groups_Ouminus__class_Ouminus(_u1740), _u1741)), _u1742)) = _u1742) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1743) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1743), hAPP(c_Groups_Ouminus__class_Ouminus(_u1743), _u1744)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1743), _u1744), _u1745)) = _u1745) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1746) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1746), c_Groups_Ozero__class_Ozero(_u1746)), _u1747) = c_Groups_Ozero__class_Ozero(_u1746)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1748) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1748), _u1749), c_Groups_Ozero__class_Ozero(_u1748)) = c_Groups_Ozero__class_Ozero(_u1748)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u1750) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1750), c_Groups_Ozero__class_Ozero(_u1750)), _u1751) = c_Groups_Ozero__class_Ozero(_u1750)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u1752) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1752), _u1753), c_Groups_Ozero__class_Ozero(_u1752)) = c_Groups_Ozero__class_Ozero(_u1752)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), _u1756) != c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1755 = c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1756 = c_Groups_Ozero__class_Ozero(_u1754)) )).
% 13.05/13.23 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), _u1756) = c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1755 != c_Groups_Ozero__class_Ozero(_u1754)) )).
% 13.05/13.23 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), _u1756) = c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1756 != c_Groups_Ozero__class_Ozero(_u1754)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1757) | ( _u1758 = c_Groups_Ozero__class_Ozero(_u1757)) | ( _u1759 = c_Groups_Ozero__class_Ozero(_u1757)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1757), _u1758), _u1759) != c_Groups_Ozero__class_Ozero(_u1757)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1760) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1760), _u1761), _u1762) != c_Groups_Ozero__class_Ozero(_u1760)) | ( _u1761 = c_Groups_Ozero__class_Ozero(_u1760)) | ( _u1762 = c_Groups_Ozero__class_Ozero(_u1760)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1763) | ( c_Groups_Oone__class_Oone(_u1763) != c_Groups_Ozero__class_Ozero(_u1763)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1764) | ( c_Groups_Ozero__class_Ozero(_u1764) != c_Groups_Oone__class_Oone(_u1764)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 13.05/13.23 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)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1765)) = _u1765) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1766) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1766), _u1767), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1766), _u1768), _u1769)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1766), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1766), _u1767), _u1768)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1766), _u1767), _u1769))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1770) | ( _u1771 = _u1772) | ( _u1773 = _u1774) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1774)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1773))) )).
% 13.05/13.23 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1770) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1774)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1773))) | ( _u1771 != _u1772) )).
% 13.05/13.23 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1770) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1774)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1773))) | ( _u1773 != _u1774) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1775) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1775), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1775), _u1776), _u1777)), _u1778) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1775), _u1776), _u1778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1775), _u1777), _u1778))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1779) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), _u1780), _u1781)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), _u1782), _u1781)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1779), _u1780), _u1782)), _u1781)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1783) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1787)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1785))) | ( _u1784 = _u1786) | ( _u1785 = _u1787) )).
% 13.05/13.23 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1783) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1785))) | ( _u1784 != _u1786) )).
% 13.05/13.23 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1783) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1785))) | ( _u1785 != _u1787) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u1788) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1788), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1788), _u1789), _u1790)), _u1791) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1788), _u1789), _u1791)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1788), _u1790), _u1791))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u1792) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1792), _u1793), _u1794)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1792), _u1795), _u1794)), _u1796)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), _u1793), _u1795)), _u1794)), _u1796)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1797), _u1798)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1797)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1798))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1800), _u1801)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1799), _u1800)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1799), _u1801))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1802), _u1803)), _u1804) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1802), _u1804)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1803), _u1804))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1805)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1805)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 13.05/13.23 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, _u1807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1807)) )).
% 13.05/13.23 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)), _u1808)) | 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, _u1808))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), hAPP(c_Groups_Ouminus__class_Ouminus(_u1809), _u1810)), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), c_Groups_Ozero__class_Ozero(_u1809)), _u1810)) )).
% 13.05/13.23 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), c_Groups_Ozero__class_Ozero(_u1809)), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), hAPP(c_Groups_Ouminus__class_Ouminus(_u1809), _u1810)), _u1810)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), hAPP(c_Groups_Ouminus__class_Ouminus(_u1811), _u1812)), c_Groups_Ozero__class_Ozero(_u1811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), c_Groups_Ozero__class_Ozero(_u1811)), _u1812)) )).
% 13.05/13.23 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), c_Groups_Ozero__class_Ozero(_u1811)), _u1812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), hAPP(c_Groups_Ouminus__class_Ouminus(_u1811), _u1812)), c_Groups_Ozero__class_Ozero(_u1811))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), c_Groups_Ozero__class_Ozero(_u1813)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1813), _u1814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1814), c_Groups_Ozero__class_Ozero(_u1813))) )).
% 13.05/13.23 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1814), c_Groups_Ozero__class_Ozero(_u1813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), c_Groups_Ozero__class_Ozero(_u1813)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1813), _u1814))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), hAPP(c_Groups_Ouminus__class_Ouminus(_u1815), _u1816))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), c_Groups_Ozero__class_Ozero(_u1815))) )).
% 13.05/13.23 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), c_Groups_Ozero__class_Ozero(_u1815))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), hAPP(c_Groups_Ouminus__class_Ouminus(_u1815), _u1816))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u1817) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1817), _u1818), _u1819) != c_Groups_Ozero__class_Ozero(_u1817)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1817), _u1818) = _u1819) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u1820) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1820), hAPP(c_Groups_Ouminus__class_Ouminus(_u1820), _u1821)), _u1821) = c_Groups_Ozero__class_Ozero(_u1820)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1822) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1822), hAPP(c_Groups_Ouminus__class_Ouminus(_u1822), _u1823)), _u1823) = c_Groups_Ozero__class_Ozero(_u1822)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u1824) | ( _u1825 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1824), _u1826)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1824), _u1825), _u1826) = c_Groups_Ozero__class_Ozero(_u1824)) )).
% 13.05/13.23 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u1824) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1824), _u1825), _u1826) != c_Groups_Ozero__class_Ozero(_u1824)) | ( _u1825 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1824), _u1826)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1827) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1827), _u1828), hAPP(c_Groups_Ouminus__class_Ouminus(_u1827), _u1828)) = c_Groups_Ozero__class_Ozero(_u1827)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 13.05/13.23 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)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1830), _u1831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1832), c_Groups_Ozero__class_Ozero(_u1829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1829), _u1832), _u1831)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1829), _u1832), _u1830))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1833), _u1834), _u1835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1833), _u1836), c_Groups_Ozero__class_Ozero(_u1833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1833), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1833), _u1835), _u1836)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1833), _u1834), _u1836))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u1837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1837), _u1838), _u1839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1837), c_Groups_Ozero__class_Ozero(_u1837)), _u1840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1837), _u1840), _u1838)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1837), _u1840), _u1839))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), c_Groups_Ozero__class_Ozero(_u1841)), _u1844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1844), _u1842)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1844), _u1843))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1845), _u1846), _u1847)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1845), c_Groups_Ozero__class_Ozero(_u1845)), _u1848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1845), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1845), _u1846), _u1848)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1845), _u1847), _u1848))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1849), _u1850), c_Groups_Ozero__class_Ozero(_u1849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1849), _u1851), c_Groups_Ozero__class_Ozero(_u1849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1849), c_Groups_Ozero__class_Ozero(_u1849)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1850), _u1851))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), _u1853), c_Groups_Ozero__class_Ozero(_u1852))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), c_Groups_Ozero__class_Ozero(_u1852)), _u1854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1852), _u1853), _u1854)), c_Groups_Ozero__class_Ozero(_u1852))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1856), c_Groups_Ozero__class_Ozero(_u1855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1857)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1858), _u1857)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1856), c_Groups_Ozero__class_Ozero(_u1855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1858), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1857)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1858))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1859), c_Groups_Ozero__class_Ozero(_u1859)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), _u1860), _u1861))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1859), c_Groups_Ozero__class_Ozero(_u1859)), _u1861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1859), c_Groups_Ozero__class_Ozero(_u1859)), _u1860)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1862), c_Groups_Ozero__class_Ozero(_u1862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1862), _u1863), _u1864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1862), c_Groups_Ozero__class_Ozero(_u1862)), _u1863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1862), c_Groups_Ozero__class_Ozero(_u1862)), _u1864)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), c_Groups_Ozero__class_Ozero(_u1865)), _u1866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), _u1867), c_Groups_Ozero__class_Ozero(_u1865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1867), _u1866)), c_Groups_Ozero__class_Ozero(_u1865))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1868), c_Groups_Ozero__class_Ozero(_u1868)), _u1869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1868), _u1870), c_Groups_Ozero__class_Ozero(_u1868))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1868), _u1869), _u1870)), c_Groups_Ozero__class_Ozero(_u1868))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1871) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1871), c_Groups_Ozero__class_Ozero(_u1871)), _u1872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1871), c_Groups_Ozero__class_Ozero(_u1871)), _u1873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1871), c_Groups_Ozero__class_Ozero(_u1871)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1871), _u1872), _u1873))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), c_Groups_Ozero__class_Ozero(_u1874)), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), _u1876), _u1877)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), c_Groups_Ozero__class_Ozero(_u1874)), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), _u1876), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1877))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), c_Groups_Ozero__class_Ozero(_u1878)), _u1879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), c_Groups_Ozero__class_Ozero(_u1878))) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), c_Groups_Ozero__class_Ozero(_u1878)), _u1879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1881), _u1880)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1880), _u1881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), c_Groups_Ozero__class_Ozero(_u1878))) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1880), _u1881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1881), _u1880)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1878) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), c_Groups_Ozero__class_Ozero(_u1878)), _u1879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1880), _u1881)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1878) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), c_Groups_Ozero__class_Ozero(_u1878))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1881), _u1880)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), c_Groups_Ozero__class_Ozero(_u1882)), _u1884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1884), c_Groups_Ozero__class_Ozero(_u1882))) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), c_Groups_Ozero__class_Ozero(_u1882)), _u1884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1885), _u1883)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1884), c_Groups_Ozero__class_Ozero(_u1882))) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1885), _u1883)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), c_Groups_Ozero__class_Ozero(_u1882)), _u1884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1885)) )).
% 13.05/13.23 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1884), c_Groups_Ozero__class_Ozero(_u1882))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1885), _u1883)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1886), _u1887), _u1887)), c_Groups_Ozero__class_Ozero(_u1886))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1888) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), c_Groups_Ozero__class_Ozero(_u1888)), c_Groups_Oone__class_Oone(_u1888))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1889), c_Groups_Oone__class_Oone(_u1889)), c_Groups_Ozero__class_Ozero(_u1889))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1890) | ( _u1891 = c_Groups_Ozero__class_Ozero(_u1890)) | ( _u1892 != _u1893) | ( _u1894 = _u1895) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1890), _u1892), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1890), _u1891), _u1894)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1890), _u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1890), _u1891), _u1895))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1898), _u1898)) != c_Groups_Ozero__class_Ozero(_u1896)) | ( _u1897 = c_Groups_Ozero__class_Ozero(_u1896)) )).
% 13.05/13.23 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1898), _u1898)) != c_Groups_Ozero__class_Ozero(_u1896)) | ( _u1898 = c_Groups_Ozero__class_Ozero(_u1896)) )).
% 13.05/13.23 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1896) | ( _u1897 != c_Groups_Ozero__class_Ozero(_u1896)) | ( _u1898 != c_Groups_Ozero__class_Ozero(_u1896)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1898), _u1898)) = c_Groups_Ozero__class_Ozero(_u1896)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1899), _u1900), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), _u1900), c_Groups_Oone__class_Oone(_u1899)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1901)), _u1901) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1904)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1906)) | ( _u1904 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 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), _u1904)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1906)) | ( _u1906 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_negative__eq__positive-3, axiom, ( ( _u1905 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1907 != 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), _u1905)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1907)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1908)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1909)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1910), _u1911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1912), _u1910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1912), _u1911))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1913)), _u1913) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1916), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1918), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1916), _u1918)) | ( _u1916 = _u1918) )).
% 13.05/13.23 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1919), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1917), _u1919)) )).
% 13.05/13.23 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1919), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u1917 != _u1919) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u1920) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1920), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u1920)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1921) | ( c_Groups_Ozero__class_Ozero(_u1921) != hAPP(c_Int_Oring__1__class_Oof__int(_u1921), _u1922)) | ( _u1922 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1921) | ( _u1922 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u1921) = hAPP(c_Int_Oring__1__class_Oof__int(_u1921), _u1922)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1923) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1923), _u1924) != c_Groups_Ozero__class_Ozero(_u1923)) | ( _u1924 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1923) | ( _u1924 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1923), _u1924) = c_Groups_Ozero__class_Ozero(_u1923)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1925), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1926)), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1927))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1926), _u1927)) )).
% 13.05/13.23 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1926), _u1927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1925), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1926)), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1927))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u1928) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1928), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1929), _u1930)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1928), hAPP(c_Int_Oring__1__class_Oof__int(_u1928), _u1929)), hAPP(c_Int_Oring__1__class_Oof__int(_u1928), _u1930))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u1931) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1931), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1932)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1931), _u1932)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1935)), hAPP(c_Int_Onat, _u1937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1937)) )).
% 13.05/13.23 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1935)), hAPP(c_Int_Onat, _u1937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1935), _u1937)) )).
% 13.05/13.23 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)), _u1938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1936), _u1938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1936)), hAPP(c_Int_Onat, _u1938))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1940)), hAPP(c_Int_Onat, _u1939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1940), _u1939)) )).
% 13.05/13.23 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)), _u1939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1940), _u1939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1940)), hAPP(c_Int_Onat, _u1939))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1943), hAPP(c_Int_Onat, _u1945))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1943)), _u1945)) )).
% 13.05/13.23 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), _u1944)), _u1946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1944), hAPP(c_Int_Onat, _u1946))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1947), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1947), _u1948), _u1948)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1947), _u1949), _u1949))), c_Groups_Ozero__class_Ozero(_u1947))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), c_Groups_Ozero__class_Ozero(_u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1951), _u1951)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1952)))) | ( _u1951 != c_Groups_Ozero__class_Ozero(_u1950)) | ( _u1952 != c_Groups_Ozero__class_Ozero(_u1950)) )).
% 13.05/13.23 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1950) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), c_Groups_Ozero__class_Ozero(_u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1951), _u1951)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1952)))) | ( _u1951 = c_Groups_Ozero__class_Ozero(_u1950)) )).
% 13.05/13.23 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1950) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), c_Groups_Ozero__class_Ozero(_u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1951), _u1951)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1952)))) | ( _u1952 = c_Groups_Ozero__class_Ozero(_u1950)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1953) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1953), c_Groups_Ozero__class_Ozero(_u1953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1953), c_Groups_Oone__class_Oone(_u1953)), c_Groups_Oone__class_Oone(_u1953)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u1954) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1954), hAPP(c_Nat_OSuc, _u1955)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1954), c_Groups_Oone__class_Oone(_u1954)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1954), _u1955))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 13.05/13.23 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)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u1956, _u1957) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1956)), _u1957)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_negD ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1959), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u1959 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem39(_u1959))))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u1960) | ( _u1961 != c_Groups_Ozero__class_Ozero(_u1960)) | ( c_Groups_Osgn__class_Osgn(_u1960, _u1961) = c_Groups_Ozero__class_Ozero(_u1960)) )).
% 13.05/13.23 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u1960) | ( _u1961 = c_Groups_Ozero__class_Ozero(_u1960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1960), c_Groups_Ozero__class_Ozero(_u1960)), _u1961)) | ( c_Groups_Osgn__class_Osgn(_u1960, _u1961) = c_Groups_Oone__class_Oone(_u1960)) )).
% 13.05/13.23 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u1960) | ( _u1961 = c_Groups_Ozero__class_Ozero(_u1960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1960), c_Groups_Ozero__class_Ozero(_u1960)), _u1961)) | ( c_Groups_Osgn__class_Osgn(_u1960, _u1961) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1960), c_Groups_Oone__class_Oone(_u1960))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u1962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1962), _u1963), c_Groups_Ozero__class_Ozero(_u1962))) | ( c_Groups_Osgn__class_Osgn(_u1962, _u1963) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1962), c_Groups_Oone__class_Oone(_u1962))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u1964) | ( c_Groups_Osgn__class_Osgn(_u1964, _u1965) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1964), c_Groups_Oone__class_Oone(_u1964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1964), _u1965), c_Groups_Ozero__class_Ozero(_u1964))) )).
% 13.05/13.23 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u1964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1964), _u1965), c_Groups_Ozero__class_Ozero(_u1964))) | ( c_Groups_Osgn__class_Osgn(_u1964, _u1965) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1964), c_Groups_Oone__class_Oone(_u1964))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zsgn__def-1, axiom, ( ( _u1967 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1967) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23 cnf(fact_zsgn__def-2, axiom, ( ( _u1968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1968)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1968) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.23 cnf(fact_zsgn__def-3, axiom, ( ( _u1968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1968)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1968) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1969)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u1969)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1969))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1970)), _u1971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1970), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1971))) )).
% 13.05/13.23 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)), _u1970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1970), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1970)), _u1971)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u1972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), _u1973), _u1974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), _u1975), _u1974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1972), c_Groups_Ozero__class_Ozero(_u1972)), _u1976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1972), c_Groups_Ozero__class_Ozero(_u1972)), _u1977)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), _u1976), _u1977) != c_Groups_Oone__class_Oone(_u1972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1972), _u1976), _u1973)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1972), _u1977), _u1975))), _u1974)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u1978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1978), c_Groups_Ozero__class_Ozero(_u1978)), _u1979)) | ( c_Groups_Osgn__class_Osgn(_u1978, _u1979) = c_Groups_Oone__class_Oone(_u1978)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u1980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1980), _u1981), _u1981)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le0 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u1982)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1983))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1984))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1985), _u1986)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1987), _u1988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1985), _u1987)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1986), _u1988))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1989), _u1990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1991), _u1989)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1991), _u1990))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1992), _u1993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1993), _u1994))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 13.05/13.23 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), _u1995), _u1996)), _u1997) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1996), _u1997))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2000), _u2002) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2000 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2000), _u2002) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2002 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2001 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2003 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2001), _u2003) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2004), _u2005) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2005), _u2004)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2006), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2006) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2009), _u2011)) | ( _u2009 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.23 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), _u2009), _u2011)) | ( _u2011 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2010 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2012 != 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), _u2010), _u2012)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2013) = _u2013) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2014), _u2014)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__square ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2015), _u2015))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u2016 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2016), _u2017)) | ( _u2017 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2016 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2018), _u2018)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2019) | ( c_Groups_Osgn__class_Osgn(_u2019, c_Groups_Osgn__class_Osgn(_u2019, _u2020)) = c_Groups_Osgn__class_Osgn(_u2019, _u2020)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2021), _u2022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2022), _u2021)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2023), _u2024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2024), _u2025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2023), _u2025)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2026), _u2027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2027), _u2026)) | ( _u2026 = _u2027) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2031, _u2030)), _u2032), _u2033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), hAPP(_u2032, _u2028)), hAPP(_u2033, _u2028))) )).
% 13.05/13.23 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), hAPP(_u2032, skolem40(_u2033, _u2032, _u2031, _u2030))), hAPP(_u2033, skolem40(_u2033, _u2032, _u2031, _u2030)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2031, _u2030)), _u2032), _u2033)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2034), _u2035), _u2036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2034), _u2036), _u2035)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u2037) | ( _u2038 != _u2039) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2038), _u2039)) )).
% 13.05/13.23 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u2037) | ( _u2038 != _u2039) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2039), _u2038)) )).
% 13.05/13.23 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u2037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2038), _u2039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2039), _u2038)) | ( _u2038 = _u2039) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2040) | ( _u2041 != _u2042) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2040), _u2041), _u2042)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u2043) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2044, _u2043)), _u2045), _u2046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2043), hAPP(_u2045, _u2047)), hAPP(_u2046, _u2047))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2049), _u2050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2050), _u2049)) | ( _u2050 = _u2049) )).
% 13.05/13.23 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2049), _u2050)) | ( _u2050 != _u2049) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2050), _u2049)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u2051) | ( _u2052 != _u2053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2051), _u2053), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2051), _u2052), _u2054)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u2055) | ( _u2056 != _u2057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2055), _u2058), _u2057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2055), _u2058), _u2056)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), _u2061)) | ( _u2061 != _u2062) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), _u2062)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u2063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2063), _u2064), _u2065)) | ( _u2064 != _u2066) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2063), _u2066), _u2065)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u2067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2067), _u2068), _u2069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2067), _u2069), _u2068)) | ( _u2068 = _u2069) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2070), _u2071), _u2072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2070), _u2072), _u2073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2070), _u2071), _u2073)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u2074) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2074), _u2075), _u2076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2074), _u2076), _u2075)) | ( _u2076 = _u2075) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u2077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2077), _u2078), _u2079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2077), _u2080), _u2078)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2077), _u2080), _u2079)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u2081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2082, _u2081)), _u2083), _u2084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2081), hAPP(_u2083, _u2085)), hAPP(_u2084, _u2085))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2086) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2086), _u2087), _u2088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2086), _u2088), _u2087)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2094), _u2096)) | ~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, _u2092)), _u2094)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2092)), _u2096))) )).
% 13.05/13.23 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2095), _u2097)) | 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, _u2093)), _u2095)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2093)), _u2097))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2098), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2099), _u2100)) )).
% 13.05/13.23 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2099), _u2100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2098), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2100))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2103)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2103), _u2105)) )).
% 13.05/13.23 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2104), _u2106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2104)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2106))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2109)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2109), _u2111)) )).
% 13.05/13.23 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2110), _u2112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2110)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2112))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2113), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2114)), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2115))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2114), _u2115)) )).
% 13.05/13.23 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2114), _u2115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2113), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2114)), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2115))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2118), _u2120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2118)) )).
% 13.05/13.23 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), _u2118), _u2120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2120)) )).
% 13.05/13.23 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))), _u2119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2121)) | 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), _u2119), _u2121))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2125), _u2127)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2125), _u2129))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2127), _u2129)) )).
% 13.05/13.23 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), _u2126), _u2128)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2126), _u2130))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2126)) )).
% 13.05/13.23 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), _u2126), _u2128)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2126), _u2130))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2128), _u2130)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2134), _u2136)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2138), _u2136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2134), _u2138)) )).
% 13.05/13.23 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), _u2135), _u2137)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2139), _u2137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2137)) )).
% 13.05/13.23 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), _u2135), _u2137)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2139), _u2137))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2135), _u2139)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2140)), hAPP(c_Int_Onat, _u2141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2140), _u2141)) )).
% 13.05/13.23 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)), _u2140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2140), _u2141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2140)), hAPP(c_Int_Onat, _u2141))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u2142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2142), _u2143), _u2144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2142), _u2145), _u2143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2142), _u2145), _u2144)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2146), _u2147), _u2148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2148), _u2149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2147), _u2149)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u2150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), _u2151), _u2152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2150), _u2153), _u2151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), _u2153), _u2152)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2154), _u2155), _u2156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), _u2157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2154), _u2155), _u2157)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2158), _u2159), _u2160)) | ( _u2160 = _u2159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2158), _u2159), _u2160)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u2161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2161), _u2162), _u2163)) | ( _u2162 = _u2163) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2161), _u2162), _u2163)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u2164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2164), _u2165), _u2166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), _u2165), _u2166)) | ( _u2165 = _u2166) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2168), _u2169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2167), _u2168), _u2169)) | ( _u2168 = _u2169) )).
% 13.05/13.23 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2168), _u2169)) | ( _u2168 != _u2169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2167), _u2168), _u2169)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u2170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2170), _u2171), _u2172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2170), _u2171), _u2172)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_leD ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u2173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), _u2175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2173), _u2175), _u2174)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u2176) | ( _u2177 = _u2178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), _u2178), _u2177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2176), _u2178), _u2177)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u2179) | ( _u2180 = _u2181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), _u2180), _u2181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2179), _u2180), _u2181)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u2182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2182), _u2183), _u2184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2184)) | ( _u2183 = _u2184) )).
% 13.05/13.23 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u2182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2182), _u2183), _u2184)) | ( _u2183 != _u2184) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2184)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u2185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2185), _u2186), _u2187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2185), _u2187), _u2186)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_leI ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u2188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2188), _u2189), _u2190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2188), _u2190), _u2189)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u2191) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2191), _u2192), _u2193)) | ( _u2192 = _u2193) )).
% 13.05/13.23 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u2191) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2191), _u2192), _u2193)) )).
% 13.05/13.23 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u2191) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | ( _u2192 != _u2193) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2194), _u2195), _u2196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), _u2196)) )).
% 13.05/13.23 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2194), _u2195), _u2196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2196), _u2195)) )).
% 13.05/13.23 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), _u2196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2196), _u2195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2194), _u2195), _u2196)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u2197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2197), _u2198), _u2199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2197), _u2198), _u2199)) )).
% 13.05/13.23 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u2197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2197), _u2198), _u2199)) | ( _u2198 != _u2199) )).
% 13.05/13.23 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u2197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2197), _u2198), _u2199)) | ( _u2198 = _u2199) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2197), _u2198), _u2199)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2200) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2201), _u2202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2200), _u2202), _u2201)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u2203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2203), _u2204), _u2205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2203), _u2205), _u2204)) )).
% 13.05/13.23 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u2203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2203), _u2205), _u2204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2203), _u2204), _u2205)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u2206) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2206), _u2207), _u2208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2206), _u2208), _u2207)) )).
% 13.05/13.23 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u2206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2206), _u2208), _u2207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2206), _u2207), _u2208)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2209), _u2210), _u2211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2209), _u2210), _u2212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2209), _u2211), _u2212)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), _u2214), _u2215)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), _u2216), _u2215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2213), _u2214), _u2216)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2218), _u2219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2220), _u2221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2217), _u2218), _u2220)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2217), _u2219), _u2221))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2222), _u2223), _u2224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), _u2225), _u2223)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), _u2225), _u2224))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2226), _u2227), _u2228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), _u2227), _u2229)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), _u2228), _u2229))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2232)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), _u2232), _u2233)) )).
% 13.05/13.23 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), _u2232), _u2233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2232)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2233))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2235), _u2236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2237), _u2236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), _u2235), _u2237)) )).
% 13.05/13.23 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), _u2235), _u2237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2235), _u2236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2237), _u2236))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2241), _u2243) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2245), _u2243)) | ( _u2241 = _u2245) | ( _u2243 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2242), _u2244) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2246), _u2244)) | ( _u2242 != _u2246) )).
% 13.05/13.23 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2242), _u2244) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2246), _u2244)) | ( _u2244 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2250), _u2252) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2250), _u2254)) | ( _u2252 = _u2254) | ( _u2250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2253) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2255)) | ( _u2253 != _u2255) )).
% 13.05/13.23 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2253) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2255)) | ( _u2251 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2258), _u2260) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2258 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2260 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2261) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2259 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2261) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2261 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2263) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u2269 = _u2271) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2267)), _u2269) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2267)), _u2271)) )).
% 13.05/13.23 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u2270 != _u2272) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2268)), _u2270) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2268)), _u2272)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2274), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2274 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_le__0__eq-2, axiom, ( ( _u2275 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2275), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2276)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2278))) )).
% 13.05/13.23 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2279))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2281)), _u2282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2282)), _u2281)) )).
% 13.05/13.23 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2282)), _u2281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2281)), _u2282)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2284)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), _u2285), _u2284)) )).
% 13.05/13.23 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), _u2285), _u2284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2284)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2285))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2286), _u2287), _u2288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2286), hAPP(c_Groups_Ouminus__class_Ouminus(_u2286), _u2288)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2286), _u2287))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2290), _u2291)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), _u2290)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), _u2291))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2292), _u2293)), _u2294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2292), _u2294)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2293), _u2294))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 13.05/13.23 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, _u2295)), _u2295)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2298), _u2300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2300)), _u2298)) )).
% 13.05/13.23 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2301)), _u2299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2299), _u2301)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2304), hAPP(c_Nat_OSuc, _u2306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2304), _u2306)) | ( _u2304 = hAPP(c_Nat_OSuc, _u2306)) )).
% 13.05/13.23 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), hAPP(c_Nat_OSuc, _u2307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), _u2307)) )).
% 13.05/13.23 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), hAPP(c_Nat_OSuc, _u2307))) | ( _u2305 != hAPP(c_Nat_OSuc, _u2307)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2310)), hAPP(c_Nat_OSuc, _u2312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2310), _u2312)) )).
% 13.05/13.23 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2311), _u2313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2311)), hAPP(c_Nat_OSuc, _u2313))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2314), _u2315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2314), hAPP(c_Nat_OSuc, _u2315))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2316), hAPP(c_Nat_OSuc, _u2317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2316), _u2317)) | ( _u2316 = hAPP(c_Nat_OSuc, _u2317)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2318)), _u2319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2318), _u2319)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2320), _u2321)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2324), _u2326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2324), _u2326)) )).
% 13.05/13.23 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2324), _u2326)) | ( _u2324 != _u2326) )).
% 13.05/13.23 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2325), _u2327)) | ( _u2325 = _u2327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2325), _u2327)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2330), _u2332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2330), _u2332)) | ( _u2330 = _u2332) )).
% 13.05/13.23 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2331), _u2333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2331), _u2333)) )).
% 13.05/13.23 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2331), _u2333)) | ( _u2331 != _u2333) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2334), _u2335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2334), _u2335)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2336), _u2337)) | ( _u2336 = _u2337) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2336), _u2337)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2338), _u2339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2338), _u2339)) )).
% 13.05/13.23 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2338), _u2339)) | ( _u2338 != _u2339) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2340), _u2341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2340), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2342), _u2341))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2343), _u2344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2343), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2344), _u2345))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2347), _u2346))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2348), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2348), _u2349))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2354), _u2356)) | ( _u2356 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2354), skolem41(_u2356, _u2354))) )).
% 13.05/13.23 cnf(fact_le__iff__add-2, axiom, ( ( _u2357 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2355), _u2351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2355), _u2357)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2363), _u2365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2361), _u2363)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2361), _u2365))) )).
% 13.05/13.23 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2364), _u2366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2362), _u2364)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2362), _u2366))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2367), _u2368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2368), _u2369))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2370), _u2371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2370), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2372), _u2371))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2373), _u2374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2373), _u2375)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2374), _u2375))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2376), _u2377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2378), _u2379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2376), _u2378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2377), _u2379))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2381), _u2382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2380), _u2381)), _u2382)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2383), _u2384)), _u2385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2383), _u2385)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2386), _u2387)), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2386), _u2388)) )).
% 13.05/13.23 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), _u2386), _u2387)), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2387), _u2388)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2391), _u2393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2391), _u2393)) )).
% 13.05/13.23 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2391), _u2393)) | ( _u2391 != _u2393) )).
% 13.05/13.23 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2392), _u2394)) | ( _u2392 = _u2394) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2392), _u2394)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2395), _u2396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2397), _u2395)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2397), _u2396))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_evaln__nonstrict ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_evaln__nonstrict-1, axiom, ( ~c_Natural_Oevaln(_u2398, _u2399, _u2400, _u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2400), _u2402)) | c_Natural_Oevaln(_u2398, _u2399, _u2402, _u2401) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) )).
% 13.05/13.23 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)), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) )).
% 13.05/13.23 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)), _u2404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) )).
% 13.05/13.23 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)), _u2404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2405)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2405), _u2406)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2405)), hAPP(c_Int_Onat, _u2406))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2408)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2407)), hAPP(c_Int_Onat, _u2408)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2407), _u2408))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), hAPP(c_Int_Oring__1__class_Oof__int(_u2409), _u2410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2410)) )).
% 13.05/13.23 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), hAPP(c_Int_Oring__1__class_Oof__int(_u2409), _u2410))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Int_Oring__1__class_Oof__int(_u2411), _u2412)), c_Groups_Ozero__class_Ozero(_u2411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Int_Oring__1__class_Oof__int(_u2411), _u2412)), c_Groups_Ozero__class_Ozero(_u2411))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2413) | ( c_Groups_Osgn__class_Osgn(_u2413, _u2414) != c_Groups_Ozero__class_Ozero(_u2413)) | ( _u2414 = c_Groups_Ozero__class_Ozero(_u2413)) )).
% 13.05/13.23 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u2413) | ( _u2414 != c_Groups_Ozero__class_Ozero(_u2413)) | ( c_Groups_Osgn__class_Osgn(_u2413, _u2414) = c_Groups_Ozero__class_Ozero(_u2413)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u2415) | ( c_Groups_Osgn__class_Osgn(_u2415, c_Groups_Ozero__class_Ozero(_u2415)) = c_Groups_Ozero__class_Ozero(_u2415)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u2416) | ( c_Groups_Osgn__class_Osgn(_u2416, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2416), _u2417), _u2418)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2416), c_Groups_Osgn__class_Osgn(_u2416, _u2417)), c_Groups_Osgn__class_Osgn(_u2416, _u2418))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2419), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2419), _u2420)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2419))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2420)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2421), _u2422), _u2422))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), _u2422)) )).
% 13.05/13.23 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), _u2422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2421), _u2422), _u2422))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2423), _u2424), _u2424)), c_Groups_Ozero__class_Ozero(_u2423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), _u2424), c_Groups_Ozero__class_Ozero(_u2423))) )).
% 13.05/13.23 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), _u2424), c_Groups_Ozero__class_Ozero(_u2423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2423), _u2424), _u2424)), c_Groups_Ozero__class_Ozero(_u2423))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), _u2426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2425), _u2426), _u2427))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2430)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), _u2429), _u2430) != c_Groups_Ozero__class_Ozero(_u2428)) | ( _u2429 = c_Groups_Ozero__class_Ozero(_u2428)) )).
% 13.05/13.23 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2430)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), _u2429), _u2430) != c_Groups_Ozero__class_Ozero(_u2428)) | ( _u2430 = c_Groups_Ozero__class_Ozero(_u2428)) )).
% 13.05/13.23 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2430)) | ( _u2429 != c_Groups_Ozero__class_Ozero(_u2428)) | ( _u2430 != c_Groups_Ozero__class_Ozero(_u2428)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), _u2429), _u2430) = c_Groups_Ozero__class_Ozero(_u2428)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2431), c_Groups_Ozero__class_Ozero(_u2431)), _u2432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2431), _u2433), _u2434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2431), _u2433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2431), _u2432), _u2434))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2435), c_Groups_Ozero__class_Ozero(_u2435)), _u2436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2435), _u2437), _u2438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2435), _u2437), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2435), _u2438), _u2436))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2440), c_Groups_Ozero__class_Ozero(_u2439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2441), c_Groups_Ozero__class_Ozero(_u2439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), _u2441)), c_Groups_Ozero__class_Ozero(_u2439))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2442) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2442), _u2443), _u2444)), c_Groups_Ozero__class_Ozero(_u2442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), c_Groups_Ozero__class_Ozero(_u2442)), _u2443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2444), c_Groups_Ozero__class_Ozero(_u2442))) )).
% 13.05/13.23 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2442) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2442), _u2443), _u2444)), c_Groups_Ozero__class_Ozero(_u2442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2443), c_Groups_Ozero__class_Ozero(_u2442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), c_Groups_Ozero__class_Ozero(_u2442)), _u2444)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2445), _u2446), _u2447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), _u2446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), _u2447)) )).
% 13.05/13.23 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2445), _u2446), _u2447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), c_Groups_Ozero__class_Ozero(_u2445))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2447), c_Groups_Ozero__class_Ozero(_u2445))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), _u2449), _u2450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), _u2451), _u2452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), c_Groups_Ozero__class_Ozero(_u2448)), _u2450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), c_Groups_Ozero__class_Ozero(_u2448)), _u2451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2448), _u2449), _u2451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2448), _u2450), _u2452))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u2453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), _u2454), _u2455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), _u2456), _u2457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), c_Groups_Ozero__class_Ozero(_u2453)), _u2454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), c_Groups_Ozero__class_Ozero(_u2453)), _u2456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2453), _u2454), _u2456)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2453), _u2455), _u2457))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2458), _u2459), _u2460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2458), _u2461), c_Groups_Ozero__class_Ozero(_u2458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2458), _u2461), _u2460)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2458), _u2461), _u2459))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2462), _u2463), _u2464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2462), _u2465), c_Groups_Ozero__class_Ozero(_u2462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2462), _u2464), _u2465)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2462), _u2463), _u2465))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u2466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), _u2467), _u2468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), c_Groups_Ozero__class_Ozero(_u2466)), _u2469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2466), _u2469), _u2467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2466), _u2469), _u2468))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2470), _u2471), _u2472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2470), c_Groups_Ozero__class_Ozero(_u2470)), _u2473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2470), _u2473), _u2471)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2470), _u2473), _u2472))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2474), _u2475), _u2476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2474), c_Groups_Ozero__class_Ozero(_u2474)), _u2477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2474), _u2475), _u2477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2474), _u2476), _u2477))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u2478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), _u2479), c_Groups_Ozero__class_Ozero(_u2478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), _u2480), c_Groups_Ozero__class_Ozero(_u2478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), c_Groups_Ozero__class_Ozero(_u2478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2478), _u2479), _u2480))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), _u2482), c_Groups_Ozero__class_Ozero(_u2481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), c_Groups_Ozero__class_Ozero(_u2481)), _u2483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2481), _u2482), _u2483)), c_Groups_Ozero__class_Ozero(_u2481))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2484), c_Groups_Ozero__class_Ozero(_u2484)), _u2485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2484), _u2486), c_Groups_Ozero__class_Ozero(_u2484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2484), _u2486), _u2485)), c_Groups_Ozero__class_Ozero(_u2484))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2487), c_Groups_Ozero__class_Ozero(_u2487)), _u2488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2487), _u2489), c_Groups_Ozero__class_Ozero(_u2487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2487), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2487), _u2488), _u2489)), c_Groups_Ozero__class_Ozero(_u2487))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2490), c_Groups_Ozero__class_Ozero(_u2490)), _u2491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2490), c_Groups_Ozero__class_Ozero(_u2490)), _u2492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2490), c_Groups_Ozero__class_Ozero(_u2490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2490), _u2491), _u2492))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), c_Groups_Ozero__class_Ozero(_u2493))) )).
% 13.05/13.23 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2495)) )).
% 13.05/13.23 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2495), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), c_Groups_Ozero__class_Ozero(_u2493))) )).
% 13.05/13.23 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2495), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2495)) )).
% 13.05/13.23 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2493) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2495), c_Groups_Ozero__class_Ozero(_u2493))) )).
% 13.05/13.23 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2493) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), c_Groups_Ozero__class_Ozero(_u2493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2495)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2497), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.05/13.23 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2498), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.05/13.23 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2497), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.05/13.23 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2498), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.05/13.23 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2496) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2498)) )).
% 13.05/13.23 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2496) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2497), c_Groups_Ozero__class_Ozero(_u2496))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2498), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u2499) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2499), c_Groups_Ozero__class_Ozero(_u2499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2499), _u2500), _u2500))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), _u2502), _u2503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2501), _u2504), _u2505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2502), _u2504)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2503), _u2505))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2506), _u2507), _u2508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2506), _u2509), _u2510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2506), _u2507), _u2509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2506), _u2508), _u2510))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2511) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2511), c_Groups_Ozero__class_Ozero(_u2511)), c_Groups_Oone__class_Oone(_u2511))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2512), c_Groups_Oone__class_Oone(_u2512)), c_Groups_Ozero__class_Ozero(_u2512))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), c_Groups_Ozero__class_Ozero(_u2513)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2513), _u2514))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), _u2514), c_Groups_Ozero__class_Ozero(_u2513))) )).
% 13.05/13.23 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), _u2514), c_Groups_Ozero__class_Ozero(_u2513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), c_Groups_Ozero__class_Ozero(_u2513)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2513), _u2514))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), hAPP(c_Groups_Ouminus__class_Ouminus(_u2515), _u2516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), c_Groups_Ozero__class_Ozero(_u2515))) )).
% 13.05/13.23 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), c_Groups_Ozero__class_Ozero(_u2515))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), hAPP(c_Groups_Ouminus__class_Ouminus(_u2515), _u2516))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), hAPP(c_Groups_Ouminus__class_Ouminus(_u2517), _u2518)), c_Groups_Ozero__class_Ozero(_u2517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), c_Groups_Ozero__class_Ozero(_u2517)), _u2518)) )).
% 13.05/13.23 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), c_Groups_Ozero__class_Ozero(_u2517)), _u2518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), hAPP(c_Groups_Ouminus__class_Ouminus(_u2517), _u2518)), c_Groups_Ozero__class_Ozero(_u2517))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), hAPP(c_Groups_Ouminus__class_Ouminus(_u2519), _u2520)), _u2520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), c_Groups_Ozero__class_Ozero(_u2519)), _u2520)) )).
% 13.05/13.23 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), c_Groups_Ozero__class_Ozero(_u2519)), _u2520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), hAPP(c_Groups_Ouminus__class_Ouminus(_u2519), _u2520)), _u2520)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2523), _u2525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2523 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2523), _u2525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u2524 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2526 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2524), _u2526) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2527), c_Groups_Ozero__class_Ozero(_u2527)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2527), _u2528))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2529), c_Groups_Ozero__class_Ozero(_u2529)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2529), _u2530))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2531), _u2532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2533), _u2531)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2533), _u2532))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2534), _u2535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2534), _u2536)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2535), _u2536))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2540), _u2542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2544), _u2542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2542)) )).
% 13.05/13.23 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), _u2540), _u2542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2544), _u2542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2540), _u2544)) )).
% 13.05/13.23 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)), _u2543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2541), _u2545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2541), _u2543)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2545), _u2543))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2549), _u2551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2549), _u2553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2549)) )).
% 13.05/13.23 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), _u2549), _u2551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2549), _u2553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2551), _u2553)) )).
% 13.05/13.23 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)), _u2550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2552), _u2554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2550), _u2552)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2550), _u2554))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2557), _u2559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2557)) )).
% 13.05/13.23 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), _u2557), _u2559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2559)) )).
% 13.05/13.23 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)), _u2558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2560)) | 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), _u2558), _u2560))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2566), _u2568)) | ~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, _u2564)), _u2566)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2564)), _u2568))) )).
% 13.05/13.23 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2567), _u2569)) | 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, _u2565)), _u2567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2565)), _u2569))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2570)), _u2571) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2570), _u2571))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2572), hAPP(c_Nat_OSuc, _u2573)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2572), _u2573))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2574)), _u2575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2574), _u2575)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2576), _u2577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2577), hAPP(c_Nat_OSuc, _u2576))) | ( _u2577 = _u2576) )).
% 13.05/13.23 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2576), _u2577)) | ( _u2577 != _u2576) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2577), hAPP(c_Nat_OSuc, _u2576))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2578), _u2579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2578)), _u2579)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2580), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2580), hAPP(c_Nat_OSuc, _u2581))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2584)), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2584), _u2586)) )).
% 13.05/13.23 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2585), _u2587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2585)), _u2587)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2590), hAPP(c_Nat_OSuc, _u2592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2590), _u2592)) )).
% 13.05/13.23 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2591), _u2593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2591), hAPP(c_Nat_OSuc, _u2593))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2596), _u2598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2596)), _u2598)) )).
% 13.05/13.23 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2597)), _u2599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2597), _u2599)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2600) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2600), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2601) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2601)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2603)) | 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), _u2602), _u2603))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2604))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2605))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2606)) | ~hBOOL(hAPP(_u2611, _u2606)) | hBOOL(hAPP(_u2611, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem42(_u2611)))) )).
% 13.05/13.23 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u2612, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem43(_u2612))) )).
% 13.05/13.23 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u2612, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2608))) | hBOOL(hAPP(_u2612, skolem43(_u2612))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u2618, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2614))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem44(_u2618))) )).
% 13.05/13.23 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u2618, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2614))) | ~hBOOL(hAPP(_u2618, skolem44(_u2618))) )).
% 13.05/13.23 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u2619, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem45(_u2619)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2616)) | hBOOL(hAPP(_u2619, _u2616)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2621)) | ( hAPP(c_Int_Onat, _u2620) != hAPP(c_Int_Onat, _u2621)) | ( _u2620 = _u2621) )).
% 13.05/13.23 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)), _u2620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2621)) | ( _u2620 != _u2621) | ( hAPP(c_Int_Onat, _u2620) = hAPP(c_Int_Onat, _u2621)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u2627, _u2622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem46(_u2627))) )).
% 13.05/13.23 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u2627, _u2622)) | hBOOL(hAPP(_u2627, hAPP(c_Int_Onat, skolem46(_u2627)))) )).
% 13.05/13.23 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)), _u2624)) | ~hBOOL(hAPP(_u2628, hAPP(c_Int_Onat, _u2624))) | hBOOL(hAPP(_u2628, skolem47(_u2628))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u2634, skolem48(_u2634))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2630)) | hBOOL(hAPP(_u2634, hAPP(c_Int_Onat, _u2630))) )).
% 13.05/13.23 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u2635, _u2632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem49(_u2635))) )).
% 13.05/13.23 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u2635, _u2632)) | ~hBOOL(hAPP(_u2635, hAPP(c_Int_Onat, skolem49(_u2635)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2637)) | ( hAPP(c_Int_Onat, _u2636) != hAPP(c_Int_Onat, _u2637)) | ( _u2636 = _u2637) )).
% 13.05/13.23 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)), _u2636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2637)) | ( _u2636 != _u2637) | ( hAPP(c_Int_Onat, _u2636) = hAPP(c_Int_Onat, _u2637)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2638), _u2639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2640), _u2641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2638), _u2640)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2639), _u2641))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2643)) | 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), _u2642), _u2643))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2644)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2645)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2644), _u2645))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2646), _u2647)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2646)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2647))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2648)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2649)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2648), _u2649))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2654), _u2656)) | ( _u2656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2654), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem50(_u2656, _u2654)))) )).
% 13.05/13.23 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u2657 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2655), _u2657)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 13.05/13.23 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)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2658), c_Groups_Ozero__class_Ozero(_u2658)), _u2659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2658), c_Groups_Ozero__class_Ozero(_u2658)), _u2660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2658), c_Groups_Ozero__class_Ozero(_u2658)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2658), _u2659), _u2660))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2661), c_Groups_Ozero__class_Ozero(_u2661)), _u2662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2661), c_Groups_Ozero__class_Ozero(_u2661)), _u2663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2661), c_Groups_Ozero__class_Ozero(_u2661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2661), _u2662), _u2663))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2664), c_Groups_Ozero__class_Ozero(_u2664)), _u2665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2664), _u2666), _u2667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2664), _u2666), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2664), _u2665), _u2667))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2668), c_Groups_Ozero__class_Ozero(_u2668)), _u2669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), _u2671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2668), _u2669), _u2671))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2672), _u2673), c_Groups_Ozero__class_Ozero(_u2672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2672), _u2674), c_Groups_Ozero__class_Ozero(_u2672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2672), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2672), _u2673), _u2674)), c_Groups_Ozero__class_Ozero(_u2672))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2675), _u2676), c_Groups_Ozero__class_Ozero(_u2675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2675), _u2677), c_Groups_Ozero__class_Ozero(_u2675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2675), _u2676), _u2677)), c_Groups_Ozero__class_Ozero(_u2675))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2678), c_Groups_Ozero__class_Ozero(_u2678)), _u2679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2680)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), _u2680), _u2681)) )).
% 13.05/13.23 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2678), c_Groups_Ozero__class_Ozero(_u2678)), _u2679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), _u2680), _u2681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2680)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2681))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2682), _u2683), c_Groups_Ozero__class_Ozero(_u2682))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), _u2685), _u2684)) )).
% 13.05/13.23 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2682), _u2683), c_Groups_Ozero__class_Ozero(_u2682))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), _u2685), _u2684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2685))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2687), _u2688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2689), _u2690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), c_Groups_Ozero__class_Ozero(_u2686)), _u2688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), c_Groups_Ozero__class_Ozero(_u2686)), _u2689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2686), _u2687), _u2689)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2686), _u2688), _u2690))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2691), _u2692), _u2693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2691), _u2694), _u2695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2691), c_Groups_Ozero__class_Ozero(_u2691)), _u2692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2691), c_Groups_Ozero__class_Ozero(_u2691)), _u2694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2692), _u2694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2693), _u2695))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), _u2697), _u2698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2696), _u2699), _u2700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2696), c_Groups_Ozero__class_Ozero(_u2696)), _u2697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), c_Groups_Ozero__class_Ozero(_u2696)), _u2699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2697), _u2699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2698), _u2700))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2701), _u2702), _u2703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2701), _u2704), _u2705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2701), c_Groups_Ozero__class_Ozero(_u2701)), _u2702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2701), c_Groups_Ozero__class_Ozero(_u2701)), _u2704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2701), _u2702), _u2704)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2701), _u2703), _u2705))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2706), _u2707), _u2708)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2706), _u2709), _u2708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2706), c_Groups_Ozero__class_Ozero(_u2706)), _u2708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2706), _u2707), _u2709)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2710), _u2711), _u2712)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2710), _u2713), _u2712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2710), c_Groups_Ozero__class_Ozero(_u2710)), _u2712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2710), _u2711), _u2713)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2714), _u2716), _u2717)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2718), c_Groups_Ozero__class_Ozero(_u2718)), _u2719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2718), _u2720), _u2721)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2722), _u2723), _u2724)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2722), _u2725), _u2724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2722), c_Groups_Ozero__class_Ozero(_u2722)), _u2724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2722), _u2723), _u2725)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2726), _u2727), _u2728)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2726), _u2727), _u2729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2726), c_Groups_Ozero__class_Ozero(_u2726)), _u2727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2726), _u2728), _u2729)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2731)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2732), _u2732))), c_Groups_Ozero__class_Ozero(_u2730))) | ( _u2731 = c_Groups_Ozero__class_Ozero(_u2730)) )).
% 13.05/13.23 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2731)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2732), _u2732))), c_Groups_Ozero__class_Ozero(_u2730))) | ( _u2732 = c_Groups_Ozero__class_Ozero(_u2730)) )).
% 13.05/13.23 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2730) | ( _u2731 != c_Groups_Ozero__class_Ozero(_u2730)) | ( _u2732 != c_Groups_Ozero__class_Ozero(_u2730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2731)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2732), _u2732))), c_Groups_Ozero__class_Ozero(_u2730))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2734), _u2734)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2735), _u2735)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2738), c_Groups_Oone__class_Oone(_u2736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2736), _u2738), _u2737)), _u2737)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), c_Groups_Ozero__class_Ozero(_u2739)), _u2740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), c_Groups_Ozero__class_Ozero(_u2739)), _u2741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), _u2741), c_Groups_Oone__class_Oone(_u2739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2739), _u2740), _u2741)), _u2740)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u2742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), c_Groups_Osgn__class_Osgn(_u2742, _u2743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), _u2743)) )).
% 13.05/13.23 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u2742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), _u2743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), c_Groups_Osgn__class_Osgn(_u2742, _u2743))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u2744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), c_Groups_Osgn__class_Osgn(_u2744, _u2745)), c_Groups_Ozero__class_Ozero(_u2744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), c_Groups_Ozero__class_Ozero(_u2744))) )).
% 13.05/13.23 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u2744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), c_Groups_Ozero__class_Ozero(_u2744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), c_Groups_Osgn__class_Osgn(_u2744, _u2745)), c_Groups_Ozero__class_Ozero(_u2744))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 13.05/13.23 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))), _u2746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2747)) | 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), _u2747), _u2746))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 13.05/13.23 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))), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2748), _u2749))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 13.05/13.23 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))), _u2750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2751), _u2750))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2753)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2753 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_int__le__0__conv-2, axiom, ( ( _u2754 != 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), _u2754)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u2756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2756), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2757), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2758), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2758) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2760)) )).
% 13.05/13.23 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)), _u2761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2761)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2762)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2762)) = _u2762) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2765) != _u2767) | ( _u2765 = hAPP(c_Int_Onat, _u2767)) )).
% 13.05/13.23 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2765) != _u2767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2767)) )).
% 13.05/13.23 cnf(fact_int__eq__iff-3, axiom, ( ( _u2766 != hAPP(c_Int_Onat, _u2768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2768)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2766) = _u2768) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2770)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2770)) = _u2770) )).
% 13.05/13.23 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)), _u2771)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2771)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2772), _u2773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2772), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2773)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2776), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2776), _u2778)) )).
% 13.05/13.23 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2777), _u2779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2777), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2779)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2782), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2784), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2782), _u2784)) )).
% 13.05/13.23 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2783), _u2785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2783), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2785), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2788)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2790)))) | ( _u2788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 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), _u2788)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2790)))) | ( _u2790 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_int__zle__neg-3, axiom, ( ( _u2789 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2791 != 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), _u2789)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2791)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2792))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u2793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), _u2794), _u2795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), _u2796), _u2795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), c_Groups_Ozero__class_Ozero(_u2793)), _u2797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), c_Groups_Ozero__class_Ozero(_u2793)), _u2798)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2793), _u2797), _u2798) != c_Groups_Oone__class_Oone(_u2793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2793), _u2797), _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2793), _u2798), _u2796))), _u2795)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2799)), hAPP(c_Int_Onat, _u2800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2799), _u2800)) )).
% 13.05/13.23 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)), _u2799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2799), _u2800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2799)), hAPP(c_Int_Onat, _u2800))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2801)), hAPP(c_Int_Onat, _u2802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2801), _u2802)) )).
% 13.05/13.23 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)), _u2801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2801), _u2802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2801)), hAPP(c_Int_Onat, _u2802))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u2805) != _u2807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2805)) | ( _u2805 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2807)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u2805) != _u2807) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2805)) | ( _u2807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u2806) = _u2808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2806)) | ( _u2808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u2806) = _u2808) | ( _u2806 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2806)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u2806) = _u2808) | ( _u2806 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2808)) | ( _u2808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u2811 != hAPP(c_Int_Onat, _u2813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2813)) | ( _u2813 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2811)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u2811 != hAPP(c_Int_Onat, _u2813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2813)) | ( _u2811 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u2812 = hAPP(c_Int_Onat, _u2814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2814)) | ( _u2812 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u2812 = hAPP(c_Int_Onat, _u2814)) | ( _u2814 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2814)) )).
% 13.05/13.23 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u2812 = hAPP(c_Int_Onat, _u2814)) | ( _u2814 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2812)) | ( _u2812 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2816)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2815)), hAPP(c_Int_Onat, _u2816)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2815), _u2816))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2818)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2817), _u2818)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2817)), hAPP(c_Int_Onat, _u2818))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2819)) | 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)), _u2819))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 13.05/13.23 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, _u2820))))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u2821) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2822)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2821), hAPP(c_Int_Onat, _u2822)) = hAPP(c_Int_Oring__1__class_Oof__int(_u2821), _u2822)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u2823) | ( c_Groups_Osgn__class_Osgn(_u2823, _u2824) != c_Groups_Oone__class_Oone(_u2823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2823), c_Groups_Ozero__class_Ozero(_u2823)), _u2824)) )).
% 13.05/13.23 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2823), c_Groups_Ozero__class_Ozero(_u2823)), _u2824)) | ( c_Groups_Osgn__class_Osgn(_u2823, _u2824) = c_Groups_Oone__class_Oone(_u2823)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2825)) | ( _u2825 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2825), _u2827))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2827), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2828)) | ( _u2828 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2829), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2828), _u2830))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2829), _u2828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2830)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2831), _u2832)), _u2833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2833), _u2831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2832)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2834), _u2835)), _u2836)), 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)), _u2836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2834)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2835), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2837), _u2838)), _u2839)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2837), _u2840)), _u2841))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2839), _u2837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2841), _u2837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2838), _u2840)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2842), _u2843)), _u2844) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2845), _u2846)), _u2847)) | ~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), _u2845), _u2846)), _u2847))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2847), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2845), _u2842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2843), _u2846)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2848), _u2849)), _u2850)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2848), _u2851)), _u2852))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2852), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2848), _u2852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2848), _u2850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2851), _u2849)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2853), _u2854)), _u2855) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2856), _u2857)), _u2858)) | ~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), _u2856), _u2857)), _u2858)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2855), _u2853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2856), _u2853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2857), _u2854)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2860), _u2861)) )).
% 13.05/13.23 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)), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2860), _u2861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2861))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2862), _u2862)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2863), _u2864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2864), _u2863)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_eq__imp__le-1, axiom, ( ( _u2865 != _u2866) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2865), _u2866)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2867), _u2868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2868), _u2869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2867), _u2869)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2870), _u2871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2871), _u2870)) | ( _u2870 = _u2871) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2873, _u2872)), _u2874), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2874), _u2875)) )).
% 13.05/13.23 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2873, _u2872)), _u2874), _u2875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2875), _u2874)) )).
% 13.05/13.23 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u2872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2874), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2875), _u2874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2873, _u2872)), _u2874), _u2875)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2879), _u2881) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2879), _u2883)) | ( _u2879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2881 = _u2883) )).
% 13.05/13.23 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2882) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2884)) | ( _u2880 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2882) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2884)) | ( _u2882 != _u2884) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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), _u2885), _u2886)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2887), _u2886)), _u2888)) = 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), _u2885), _u2887)), _u2886)), _u2888)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2890)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2890), _u2891)) )).
% 13.05/13.23 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)), _u2889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2890), _u2891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2890)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2891))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2892)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2893) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2894)) | ( _u2893 = _u2894) )).
% 13.05/13.23 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)), _u2892)) | ( _u2893 != _u2894) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2893) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2894)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 13.05/13.23 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))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2896)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2897))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), _u2897), _u2896)) )).
% 13.05/13.23 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), _u2897), _u2896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2896)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2897))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2898) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2898), _u2899), _u2900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2898), hAPP(c_Groups_Ouminus__class_Ouminus(_u2898), _u2900)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2898), _u2899))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u2903, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2903, _u2904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem51(_u2904, _u2903)), _u2904)) )).
% 13.05/13.23 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u2903, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2903, _u2904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2901), skolem51(_u2904, _u2903))) | ~hBOOL(hAPP(_u2903, _u2901)) )).
% 13.05/13.23 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u2903, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2903, _u2904)) | hBOOL(hAPP(_u2903, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem51(_u2904, _u2903)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u2905 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2906), _u2907)), _u2908)) | ( _u2906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2905, _u2906) = _u2908) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2906), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2908), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u2905 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2906), _u2907)), _u2908)) | ( _u2906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2905, _u2906) = _u2908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2908), _u2906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2906)) )).
% 13.05/13.23 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u2905 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2906), _u2907)), _u2908)) | ( _u2906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2905, _u2906) = _u2908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2908), _u2906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2906), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2908), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2910), _u2911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2911), 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), _u2910), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2912, _u2909))), _u2911)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2914), _u2915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2915), 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), _u2914), _u2913)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2914), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2916, _u2913))), _u2915))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u2917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2918), _u2919)) | 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), _u2919), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2920, _u2917))), _u2918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2919), _u2917))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u2921) | ( c_Divides_Odiv__class_Omod(_u2921, c_Divides_Odiv__class_Omod(_u2921, _u2922, _u2923), _u2923) = c_Divides_Odiv__class_Omod(_u2921, _u2922, _u2923)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2924) | ( c_Divides_Odiv__class_Omod(_u2924, c_Groups_Ozero__class_Ozero(_u2924), _u2925) = c_Groups_Ozero__class_Ozero(_u2924)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2926) | ( c_Divides_Odiv__class_Omod(_u2926, _u2927, c_Groups_Ozero__class_Ozero(_u2926)) = _u2927) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u2928) | ( c_Divides_Odiv__class_Omod(_u2928, _u2929, _u2929) = c_Groups_Ozero__class_Ozero(_u2928)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u2930) | ( c_Divides_Odiv__class_Omod(_u2930, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2930), _u2931), _u2932), _u2932) = c_Divides_Odiv__class_Omod(_u2930, _u2931, _u2932)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u2933) | ( c_Divides_Odiv__class_Omod(_u2933, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), _u2934), _u2935), _u2934) = c_Divides_Odiv__class_Omod(_u2933, _u2935, _u2934)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2936) | ( c_Divides_Odiv__class_Omod(_u2936, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2936), _u2937), _u2938), _u2939) = c_Divides_Odiv__class_Omod(_u2936, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2936), _u2937), c_Divides_Odiv__class_Omod(_u2936, _u2938, _u2939)), _u2939)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2940) | ( c_Divides_Odiv__class_Omod(_u2940, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2940), _u2941), _u2942), _u2943) = c_Divides_Odiv__class_Omod(_u2940, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2940), c_Divides_Odiv__class_Omod(_u2940, _u2941, _u2943)), _u2942), _u2943)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2944) | ( c_Divides_Odiv__class_Omod(_u2944, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2944), _u2945), _u2946), _u2947) = c_Divides_Odiv__class_Omod(_u2944, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2944), c_Divides_Odiv__class_Omod(_u2944, _u2945, _u2947)), c_Divides_Odiv__class_Omod(_u2944, _u2946, _u2947)), _u2947)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2948) | ( c_Divides_Odiv__class_Omod(_u2948, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2948), _u2949), c_Divides_Odiv__class_Omod(_u2948, _u2950, _u2951)), _u2951) = c_Divides_Odiv__class_Omod(_u2948, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2948), _u2949), _u2950), _u2951)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2952) | ( c_Divides_Odiv__class_Omod(_u2952, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2952), c_Divides_Odiv__class_Omod(_u2952, _u2953, _u2954)), _u2955), _u2954) = c_Divides_Odiv__class_Omod(_u2952, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2952), _u2953), _u2955), _u2954)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u2956) | ( c_Divides_Odiv__class_Omod(_u2956, _u2957, _u2958) != c_Divides_Odiv__class_Omod(_u2956, _u2959, _u2958)) | ( c_Divides_Odiv__class_Omod(_u2956, _u2960, _u2958) != c_Divides_Odiv__class_Omod(_u2956, _u2961, _u2958)) | ( c_Divides_Odiv__class_Omod(_u2956, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2956), _u2957), _u2960), _u2958) = c_Divides_Odiv__class_Omod(_u2956, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2956), _u2959), _u2961), _u2958)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2962) | ( c_Divides_Odiv__class_Omod(_u2962, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2962), _u2963), _u2964), _u2965) = c_Divides_Odiv__class_Omod(_u2962, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2962), _u2963), c_Divides_Odiv__class_Omod(_u2962, _u2964, _u2965)), _u2965)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2966) | ( c_Divides_Odiv__class_Omod(_u2966, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), _u2967), _u2968), _u2969) = c_Divides_Odiv__class_Omod(_u2966, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), c_Divides_Odiv__class_Omod(_u2966, _u2967, _u2969)), _u2968), _u2969)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2970) | ( c_Divides_Odiv__class_Omod(_u2970, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), _u2971), _u2972), _u2973) = c_Divides_Odiv__class_Omod(_u2970, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), c_Divides_Odiv__class_Omod(_u2970, _u2971, _u2973)), c_Divides_Odiv__class_Omod(_u2970, _u2972, _u2973)), _u2973)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u2974) | ( c_Divides_Odiv__class_Omod(_u2974, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2976), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2977)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), c_Divides_Odiv__class_Omod(_u2974, _u2976, _u2977))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u2978) | ( c_Divides_Odiv__class_Omod(_u2978, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2979), _u2980), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2981), _u2980)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), c_Divides_Odiv__class_Omod(_u2978, _u2979, _u2981)), _u2980)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2982) | ( c_Divides_Odiv__class_Omod(_u2982, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), c_Divides_Odiv__class_Omod(_u2982, _u2983, _u2984)), _u2985), _u2984) = c_Divides_Odiv__class_Omod(_u2982, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), _u2983), _u2985), _u2984)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u2986) | ( c_Divides_Odiv__class_Omod(_u2986, _u2987, _u2988) != c_Divides_Odiv__class_Omod(_u2986, _u2989, _u2988)) | ( c_Divides_Odiv__class_Omod(_u2986, _u2990, _u2988) != c_Divides_Odiv__class_Omod(_u2986, _u2991, _u2988)) | ( c_Divides_Odiv__class_Omod(_u2986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2987), _u2990), _u2988) = c_Divides_Odiv__class_Omod(_u2986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2989), _u2991), _u2988)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u2992) | ( c_Divides_Odiv__class_Omod(_u2992, hAPP(c_Groups_Ouminus__class_Ouminus(_u2992), _u2993), _u2994) = c_Divides_Odiv__class_Omod(_u2992, hAPP(c_Groups_Ouminus__class_Ouminus(_u2992), c_Divides_Odiv__class_Omod(_u2992, _u2993, _u2994)), _u2994)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u2995) | ( c_Divides_Odiv__class_Omod(_u2995, _u2996, _u2997) != c_Divides_Odiv__class_Omod(_u2995, _u2998, _u2997)) | ( c_Divides_Odiv__class_Omod(_u2995, hAPP(c_Groups_Ouminus__class_Ouminus(_u2995), _u2996), _u2997) = c_Divides_Odiv__class_Omod(_u2995, hAPP(c_Groups_Ouminus__class_Ouminus(_u2995), _u2998), _u2997)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2999, _u2999) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3000) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3001), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3002, _u3003)), _u3003) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3001), _u3002), _u3003)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3004), _u3005), _u3006) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3004), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3005, _u3006)), _u3006)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 13.05/13.23 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, _u3007, _u3008)), _u3008) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3007), _u3008)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3009), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3010)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3009, _u3010))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3011, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3012)) = 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), _u3011), _u3012))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3013) | ( c_Divides_Odiv__class_Omod(_u3013, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3013), _u3014), _u3015), _u3015) = c_Groups_Ozero__class_Ozero(_u3013)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3016) | ( c_Divides_Odiv__class_Omod(_u3016, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3016), _u3017), _u3018), _u3017) = c_Groups_Ozero__class_Ozero(_u3016)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3019) | ( c_Divides_Odiv__class_Omod(_u3019, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3019), _u3020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3019), _u3021), _u3022)), _u3021) = c_Divides_Odiv__class_Omod(_u3019, _u3020, _u3021)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3023) | ( c_Divides_Odiv__class_Omod(_u3023, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3023), _u3024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3023), _u3025), _u3026)), _u3026) = c_Divides_Odiv__class_Omod(_u3023, _u3024, _u3026)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3027) | ( c_Divides_Odiv__class_Omod(_u3027, _u3028, c_Groups_Oone__class_Oone(_u3027)) = c_Groups_Ozero__class_Ozero(_u3027)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3029, _u3030)), _u3029)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3032)) | 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, _u3031, _u3032))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3034, _u3033)), _u3033)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3035), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3035), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3036, _u3035))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3041, _u3043) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3041 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3043), skolem52(_u3043, _u3041))) )).
% 13.05/13.23 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u3042 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3044), _u3038)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3042, _u3044) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3045, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3046)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3045, _u3046) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3047), _u3048) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3047, _u3048) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3049)) | 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, _u3050, _u3049))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3051)) | 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, _u3052, _u3051))) )).
% 13.05/13.23 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)), _u3051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3052, _u3051)), _u3051)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3053), _u3054)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3053, _u3054) = _u3053) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3055), 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, _u3056, _u3055)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3057), 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, _u3058, _u3057)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3057), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3057), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3058, _u3057))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3059), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3060), _u3059)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3059, _u3060) = _u3059) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3061) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3061), _u3062), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3061), _u3062), _u3063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3061), _u3062), _u3063)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3064) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3064), _u3065), _u3065) = _u3065) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3066) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3066), _u3067), _u3067) = _u3067) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3068) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3069) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3070)) | ( _u3069 = _u3070) )).
% 13.05/13.23 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3068) | ( _u3069 != _u3070) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3069) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3070)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u3071) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3072, _u3071)), _u3073), _u3074) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3071), hAPP(_u3073, _u3074))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3075) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3075), hAPP(c_Groups_Ouminus__class_Ouminus(_u3075), _u3076)) = _u3076) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3077), _u3078)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3077, _u3078) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3077), _u3078)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u3090, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3092, _u3094))) | ( _u3094 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3090, _u3092)) )).
% 13.05/13.23 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u3090, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3092, _u3094))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3079), _u3094)) | ( _u3092 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3094), _u3080)), _u3079)) | hBOOL(hAPP(_u3090, _u3079)) )).
% 13.05/13.23 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u3090, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3092, _u3094))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3094), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3094), _u3081)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3081), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3092 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3094), _u3082)), _u3081)) | hBOOL(hAPP(_u3090, _u3081)) )).
% 13.05/13.23 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.05/13.23 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3097), _u3098)) | 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), _u3098), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3099, _u3096))), _u3097))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3102)) | ( c_SMT_Oz3mod(_u3104, _u3102) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3104, _u3102)) )).
% 13.05/13.23 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)), _u3103)) | ( c_SMT_Oz3mod(_u3105, _u3103) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3105, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3103))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3110)) | ~hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3106), _u3110)) | ( _u3112 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3110), _u3107)), _u3106)) | hBOOL(hAPP(hAPP(_u3111, _u3107), _u3106)) )).
% 13.05/13.23 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)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem58(_u3112, _u3111, _u3110))) )).
% 13.05/13.23 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)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem58(_u3112, _u3111, _u3110)), _u3110)) )).
% 13.05/13.23 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)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | ( _u3112 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3110), skolem57(_u3112, _u3111, _u3110))), skolem58(_u3112, _u3111, _u3110))) )).
% 13.05/13.23 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)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | ~hBOOL(hAPP(hAPP(_u3111, skolem57(_u3112, _u3111, _u3110)), skolem58(_u3112, _u3111, _u3110))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), _u3113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3113), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3119 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3117), _u3114)), _u3113)) | hBOOL(hAPP(hAPP(_u3118, _u3114), _u3113)) )).
% 13.05/13.23 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), skolem60(_u3119, _u3118, _u3117))) )).
% 13.05/13.23 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem60(_u3119, _u3118, _u3117)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | ( _u3119 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3117), skolem59(_u3119, _u3118, _u3117))), skolem60(_u3119, _u3118, _u3117))) )).
% 13.05/13.23 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | ~hBOOL(hAPP(hAPP(_u3118, skolem59(_u3119, _u3118, _u3117)), skolem60(_u3119, _u3118, _u3117))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3120)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3121, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3122), _u3120)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3122), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3121), _u3122), _u3120))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3121, _u3122))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3123, _u3124))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u3136, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3138), _u3140))) | ( _u3140 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3136, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u3136, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3138), _u3140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3125), _u3140)) | ( _u3138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3140), _u3126)), _u3125)) | hBOOL(hAPP(_u3136, _u3126)) )).
% 13.05/13.23 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u3136, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3138), _u3140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3140), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3140), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3127), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3140), _u3128)), _u3127)) | hBOOL(hAPP(_u3136, _u3128)) )).
% 13.05/13.23 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.05/13.23 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.05/13.23 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u3142 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3144)), _u3145)) | ( _u3143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3143) = _u3144) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3145), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u3142 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3144)), _u3145)) | ( _u3143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3143) = _u3144) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3145), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3143)) )).
% 13.05/13.23 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u3142 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3144)), _u3145)) | ( _u3143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3143) = _u3144) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3145), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3145), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | ( _u3155 = 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), _u3155), skolem65(_u3155, _u3153, _u3151))), _u3153)) )).
% 13.05/13.23 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | ( _u3155 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3155), hAPP(c_Nat_OSuc, skolem65(_u3155, _u3153, _u3151))))) )).
% 13.05/13.23 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | ( _u3155 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3151, skolem65(_u3155, _u3153, _u3151))) )).
% 13.05/13.23 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | hBOOL(hAPP(_u3151, 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), _u3155), skolem65(_u3155, _u3153, _u3151))), _u3153)) )).
% 13.05/13.23 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | hBOOL(hAPP(_u3151, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3155), hAPP(c_Nat_OSuc, skolem65(_u3155, _u3153, _u3151))))) )).
% 13.05/13.23 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | hBOOL(hAPP(_u3151, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3151, skolem65(_u3155, _u3153, _u3151))) )).
% 13.05/13.23 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u3152, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3154), _u3156))) | ( _u3156 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3152, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u3152, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3154), _u3156))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3156), _u3147)), _u3154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3154), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3156), hAPP(c_Nat_OSuc, _u3147)))) | ~hBOOL(hAPP(_u3152, _u3147)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3157), _u3158)), _u3159) = 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), _u3157), _u3159)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3158), _u3159))), 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, _u3157, _u3159)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3158, _u3159))), _u3159))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3160)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3161)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3160), _u3161))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3162), _u3163)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3162)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3163))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3164, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3165), _u3166)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3165), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3164), _u3165), _u3166))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3164, _u3165))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3167), _u3168)), _u3169) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3168), _u3169))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3168, _u3169))), _u3169))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3170), _u3171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3170), _u3172)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3171), _u3172))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3173), _u3174)), _u3173)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3175) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3176), _u3177) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3176, _u3177)), _u3177)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3179), _u3180)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3178), _u3179)), _u3180)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3181), _u3182)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3181, _u3182) = _u3181) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 13.05/13.23 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, _u3183, _u3184)), _u3183)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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, _u3185, _u3186)), _u3187) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3185), _u3187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3186), _u3187))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3189, _u3190)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), _u3189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), _u3190))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3191), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3192)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3191)), _u3192)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3193)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3194)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3193), _u3194)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3195) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3195), c_Groups_Ozero__class_Ozero(_u3195)), _u3196) = c_Groups_Ozero__class_Ozero(_u3195)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3197) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3197), _u3198), c_Groups_Ozero__class_Ozero(_u3197)) = c_Groups_Ozero__class_Ozero(_u3197)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3199) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3199), _u3200), c_Groups_Oone__class_Oone(_u3199)) = _u3200) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3201)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3201), _u3202)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3201)), hAPP(c_Int_Onat, _u3202))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3204)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3203)), hAPP(c_Int_Onat, _u3204)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3203), _u3204))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3205), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3205) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__less ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3206), _u3207)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3206), _u3207) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u3211 != 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), _u3211), _u3213)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3211), _u3215)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u3212 = 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), _u3212), _u3214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3212), _u3216)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3214), _u3216)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3217, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3220, _u3222)) != _u3222) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3220), _u3222) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3221, _u3223)) = _u3223) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3221), _u3223) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3221, _u3223))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3225)) | 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), _u3224), _u3225))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3227, _u3226)), _u3226)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3228), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3228), _u3229)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3230), 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), _u3231), _u3230)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3231)) )).
% 13.05/13.23 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3230), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3231), _u3230)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3233), _u3232)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 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)), _u3232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), 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), _u3233), _u3232)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__self-1, axiom, ( ( _u3234 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3234), _u3234) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3239, _u3241) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3239 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3241), skolem66(_u3241, _u3239))) )).
% 13.05/13.23 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u3240 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3242), _u3236)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3240, _u3242) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3244), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3245, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3245) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 13.05/13.23 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, _u3246, _u3247)), _u3247) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3248), _u3249)), _u3250), _u3249) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3250, _u3249)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3251), _u3252)), _u3253) = 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), _u3251), _u3253)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3252), _u3253))), 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, _u3251, _u3253)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3252, _u3253))), _u3253))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3254), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3255)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3254, _u3255))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 13.05/13.23 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, _u3256, _u3257)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3256), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3257))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u3258) | ( _u3259 = c_Groups_Ozero__class_Ozero(_u3258)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3258), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3258), _u3259), _u3260)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3258), _u3259), _u3261)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3258), _u3260), _u3261)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u3262) | ( _u3263 = c_Groups_Ozero__class_Ozero(_u3262)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3262), _u3264), _u3263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3262), _u3265), _u3263)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3262), _u3264), _u3265)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3266) | ( _u3267 = c_Groups_Ozero__class_Ozero(_u3266)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3266), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3266), _u3267), _u3268)), _u3267) = _u3268) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3269) | ( _u3270 = c_Groups_Ozero__class_Ozero(_u3269)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), _u3271), _u3270)), _u3270) = _u3271) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u3272) | ( _u3273 != c_Groups_Ozero__class_Ozero(_u3272)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3275)) = c_Groups_Ozero__class_Ozero(_u3272)) )).
% 13.05/13.23 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u3272) | ( _u3273 = c_Groups_Ozero__class_Ozero(_u3272)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3275)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), _u3274), _u3275)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__self ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u3276) | ( _u3277 = c_Groups_Ozero__class_Ozero(_u3276)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3276), _u3277), _u3277) = c_Groups_Oone__class_Oone(_u3276)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u3278) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3278), c_Divides_Odiv__class_Omod(_u3278, _u3279, _u3280)), _u3280) = c_Groups_Ozero__class_Ozero(_u3278)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3281)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3281), _u3282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3283), _u3282)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3283), _u3281))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3284)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3284), _u3285)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3284), _u3286)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3285), _u3286)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3287)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3287), _u3288)), _u3287) = _u3288) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3289)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3290), _u3289)), _u3289) = _u3290) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3292), _u3291)), _u3292)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3293), _u3294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3295), 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), _u3294), _u3295)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3293), _u3295))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3296), _u3297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3298)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3296), _u3298)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3297), _u3298))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3299), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3300), _u3299)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3299), _u3300) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3301), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3302), _u3303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3301), _u3302)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3301), _u3303))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3304), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3304), _u3305)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3306), 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), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3307), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3306), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3307), 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), _u3307), _u3306))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3308), _u3309)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3308), _u3309) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3311), 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), _u3310), _u3311)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3313), _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3312), _u3314)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3312), _u3313))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3315)) | ~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), _u3315), _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3316), _u3315)) )).
% 13.05/13.23 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)), _u3315)) | ~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), _u3315), _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 13.05/13.23 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)), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3316), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) | 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), _u3315), _u3316))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3317)) | ~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), _u3318), _u3317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3317), _u3318)) )).
% 13.05/13.23 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)), _u3317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3317), _u3318)) | 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), _u3318), _u3317))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3319)) | ~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), _u3320), _u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3320)) )).
% 13.05/13.23 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)), _u3319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3320)) | 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), _u3320), _u3319))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = 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)), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3323), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = 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)), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3325), _u3323)) )).
% 13.05/13.23 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3323), _u3325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3323), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.23 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3323), _u3325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3325), _u3323)) )).
% 13.05/13.23 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3324), _u3326) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3326 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.23 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3324), _u3326) = 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)), _u3324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3324), _u3326)) )).
% 13.05/13.23 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3324), _u3326) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3324), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3326), _u3324)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3328, _u3327)), _u3327)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3329), _u3330)), _u3329)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3331)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3333), _u3331)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3332), _u3333)), _u3331)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3334), _u3335)), _u3336)), _u3335) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3336), _u3335)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3337), _u3338)), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3337, _u3338))), _u3339) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3337), _u3339)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3340), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3341), _u3340))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3341, _u3340))), _u3342) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3341), _u3342)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3343), _u3344)), _u3345) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3344), _u3345))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3344, _u3345))), _u3345))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u3346 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3347), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3346), _u3347))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3346, _u3347))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3348) | ( _u3349 = c_Groups_Ozero__class_Ozero(_u3348)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3348), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3348), _u3350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3348), _u3351), _u3349))), _u3349) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3348), _u3351), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3348), _u3350), _u3349))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3352) | ( _u3353 = c_Groups_Ozero__class_Ozero(_u3352)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3352), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3352), _u3354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3352), _u3353), _u3355))), _u3353) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3352), _u3355), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3352), _u3354), _u3353))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3356) | ( _u3357 = c_Groups_Ozero__class_Ozero(_u3356)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3356), _u3357), _u3358)), _u3357) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3356), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3356), _u3358), _u3357)), c_Groups_Oone__class_Oone(_u3356))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3359) | ( _u3360 = c_Groups_Ozero__class_Ozero(_u3359)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), _u3361), _u3360)), _u3360) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), _u3361), _u3360)), c_Groups_Oone__class_Oone(_u3359))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3362) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3362), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3362), _u3363), _u3364)), _u3364)), c_Divides_Odiv__class_Omod(_u3362, _u3363, _u3364))), _u3365) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3363), _u3365)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3366) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3366), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3366), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3366), _u3368), _u3367))), c_Divides_Odiv__class_Omod(_u3366, _u3368, _u3367))), _u3369) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3366), _u3368), _u3369)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3370) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3370), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3370), _u3371), _u3372)), _u3372)), c_Divides_Odiv__class_Omod(_u3370, _u3371, _u3372)) = _u3371) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3373), _u3375), _u3374))), c_Divides_Odiv__class_Omod(_u3373, _u3375, _u3374)) = _u3375) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u3376) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3376), c_Divides_Odiv__class_Omod(_u3376, _u3377, _u3378)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3376), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3376), _u3377), _u3378)), _u3378)) = _u3377) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__div ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u3386, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3388), _u3390))) | ( _u3390 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3386, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.23 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u3386, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3388), _u3390))) | ( _u3390 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3379), _u3390)) | ( _u3388 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3390), _u3380)), _u3379)) | hBOOL(hAPP(_u3386, _u3380)) )).
% 13.05/13.23 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ( _u3391 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem68(_u3391, _u3389, _u3387)), _u3391)) )).
% 13.05/13.23 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ( _u3391 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3389 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3391), skolem67(_u3391, _u3389, _u3387))), skolem68(_u3391, _u3389, _u3387))) )).
% 13.05/13.23 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ( _u3391 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3387, skolem67(_u3391, _u3389, _u3387))) )).
% 13.05/13.23 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3391 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem68(_u3391, _u3389, _u3387)), _u3391)) )).
% 13.05/13.23 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3389 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3391), skolem67(_u3391, _u3389, _u3387))), skolem68(_u3391, _u3389, _u3387))) )).
% 13.05/13.23 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3387, skolem67(_u3391, _u3389, _u3387))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3392)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3393), _u3394)) | 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), _u3394), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3395, _u3392))), _u3393)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3394), _u3392))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3403, _u3405)) )).
% 13.05/13.23 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3396), _u3407)) | ( _u3405 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), _u3397)), _u3396)) | hBOOL(hAPP(_u3403, _u3396)) )).
% 13.05/13.23 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ( _u3408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3408, _u3406, _u3404)), _u3408)) )).
% 13.05/13.23 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ( _u3408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3406 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3408), skolem69(_u3408, _u3406, _u3404))), skolem70(_u3408, _u3406, _u3404))) )).
% 13.05/13.23 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ( _u3408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3404, skolem70(_u3408, _u3406, _u3404))) )).
% 13.05/13.23 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | ( _u3408 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.23 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3408, _u3406, _u3404)), _u3408)) )).
% 13.05/13.23 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | ( _u3406 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3408), skolem69(_u3408, _u3406, _u3404))), skolem70(_u3408, _u3406, _u3404))) )).
% 13.05/13.23 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | ~hBOOL(hAPP(_u3404, skolem70(_u3408, _u3406, _u3404))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3409)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), _u3410)), _u3409) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3412)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3411, _u3412)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3411), hAPP(c_Int_Onat, _u3412))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3414)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3413), hAPP(c_Int_Onat, _u3414)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3413, _u3414))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), _u3416)), _u3417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3417), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), hAPP(c_Nat_OSuc, _u3416)))) | ( _u3416 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3417), _u3415)) )).
% 13.05/13.23 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)), _u3415)) | ( _u3416 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3417), _u3415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), _u3416)), _u3417)) )).
% 13.05/13.23 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)), _u3415)) | ( _u3416 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3417), _u3415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3417), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), hAPP(c_Nat_OSuc, _u3416)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3420)) | ( c_SMT_Oz3div(_u3422, _u3420) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3422), _u3420)) )).
% 13.05/13.23 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)), _u3421)) | ( c_SMT_Oz3div(_u3423, _u3421) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3423), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3421)))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u3424 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3425, _u3424) != 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), _u3425)), _u3424) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3425), _u3424))) )).
% 13.05/13.23 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u3424 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3425, _u3424) = 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), _u3425)), _u3424) = 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), _u3425), _u3424))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u3426 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3427, _u3426) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3427), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3426)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3427), _u3426))) )).
% 13.05/13.23 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u3426 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3427, _u3426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3427), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3426)) = 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), _u3427), _u3426))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3428), _u3429)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3429), _u3428) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3429), _u3428)), _u3428))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u3430) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3430), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3430), _u3431), _u3432)), _u3432)), c_Divides_Odiv__class_Omod(_u3430, _u3431, _u3432))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3434)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3433)), hAPP(c_Int_Onat, _u3434)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3433, _u3434))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 13.05/13.23 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)), _u3437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3439)) | ~hBOOL(hAPP(_u3438, _u3436)) | hBOOL(hAPP(_u3438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3439), _u3437)))) | hBOOL(hAPP(_u3438, skolem71(_u3439, _u3438, _u3437))) )).
% 13.05/13.23 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)), _u3437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3439)) | ~hBOOL(hAPP(_u3438, _u3436)) | hBOOL(hAPP(_u3438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3439), _u3437)))) | ~hBOOL(hAPP(_u3438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem71(_u3439, _u3438, _u3437)), _u3437))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), _u3442), _u3443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), c_Groups_Ozero__class_Ozero(_u3441)), skolem72(_u3443, _u3442, _u3441))) )).
% 13.05/13.23 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), _u3442), _u3443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), skolem72(_u3443, _u3442, _u3441)), c_Groups_Oone__class_Oone(_u3441))) )).
% 13.05/13.23 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), skolem72(_u3443, _u3442, _u3441)), _u3442)), _u3443)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3444) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3445), _u3446) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3447), _u3448)) | ( _u3445 != _u3446) | ( _u3447 = _u3448) )).
% 13.05/13.23 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u3444) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3445), _u3446) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3447), _u3448)) | ( _u3447 != _u3448) | ( _u3445 = _u3446) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 13.05/13.23 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), _u3449), _u3450)), _u3451) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3449), _u3451)), _u3450)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u3452) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3453), _u3454)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3452), hAPP(c_Int_Oring__1__class_Oof__int(_u3452), _u3453)), hAPP(c_Int_Oring__1__class_Oof__int(_u3452), _u3454))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u3455) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3456, _u3455)), _u3457), _u3458), _u3459) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3455), hAPP(_u3457, _u3459)), hAPP(_u3458, _u3459))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u3460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3461), _u3462)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3460), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3462), _u3461)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3460), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3460), _u3462)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3460), _u3461))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3463), _u3464)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3464)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3463)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3464), _u3463))) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3465) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3466), _u3467) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3468), _u3469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3466), _u3467)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3468), _u3469)) )).
% 13.05/13.23 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3465) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3466), _u3467) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3468), _u3469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3468), _u3469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3466), _u3467)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u3470) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3470), _u3471), _u3472) != c_Groups_Ozero__class_Ozero(_u3470)) | ( _u3471 = _u3472) )).
% 13.05/13.23 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u3470) | ( _u3471 != _u3472) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3470), _u3471), _u3472) = c_Groups_Ozero__class_Ozero(_u3470)) )).
% 13.05/13.23
% 13.05/13.23 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 13.05/13.23 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u3473) | ( _u3474 != _u3475) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) = c_Groups_Ozero__class_Ozero(_u3473)) )).
% 13.05/13.24 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u3473) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) != c_Groups_Ozero__class_Ozero(_u3473)) | ( _u3474 = _u3475) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u3476) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3476), _u3477), _u3477) = c_Groups_Ozero__class_Ozero(_u3476)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u3478) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3478), _u3479), c_Groups_Ozero__class_Ozero(_u3478)) = _u3479) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3480) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3481), _u3482) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3483), _u3484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3481), _u3482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3483), _u3484)) )).
% 13.05/13.24 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3480) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3481), _u3482) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3483), _u3484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3483), _u3484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3481), _u3482)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3485) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3485), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3485), _u3486), _u3487)), _u3487) = _u3486) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3488) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3488), _u3489), _u3490)), _u3490) = _u3489) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3491) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3491), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3491), _u3492), _u3493)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3491), _u3493), _u3492)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u3494) | ( c_Divides_Odiv__class_Omod(_u3494, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3495), _u3496), _u3497) = c_Divides_Odiv__class_Omod(_u3494, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3495), c_Divides_Odiv__class_Omod(_u3494, _u3496, _u3497)), _u3497)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u3498) | ( c_Divides_Odiv__class_Omod(_u3498, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3498), _u3499), _u3500), _u3501) = c_Divides_Odiv__class_Omod(_u3498, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3498), c_Divides_Odiv__class_Omod(_u3498, _u3499, _u3501)), _u3500), _u3501)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u3502) | ( c_Divides_Odiv__class_Omod(_u3502, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3502), _u3503), _u3504), _u3505) = c_Divides_Odiv__class_Omod(_u3502, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3502), c_Divides_Odiv__class_Omod(_u3502, _u3503, _u3505)), c_Divides_Odiv__class_Omod(_u3502, _u3504, _u3505)), _u3505)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u3506) | ( c_Divides_Odiv__class_Omod(_u3506, _u3507, _u3508) != c_Divides_Odiv__class_Omod(_u3506, _u3509, _u3508)) | ( c_Divides_Odiv__class_Omod(_u3506, _u3510, _u3508) != c_Divides_Odiv__class_Omod(_u3506, _u3511, _u3508)) | ( c_Divides_Odiv__class_Omod(_u3506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3506), _u3507), _u3510), _u3508) = c_Divides_Odiv__class_Omod(_u3506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3506), _u3509), _u3511), _u3508)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3512), _u3513) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3513), _u3512) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3512 = _u3513) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3514), _u3514) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3515), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3515) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3516) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3517)), hAPP(c_Nat_OSuc, _u3518)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3517), _u3518)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 13.05/13.24 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, _u3519)), _u3520)), hAPP(c_Nat_OSuc, _u3521)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3519), _u3520)), _u3521)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3522), _u3523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3522), _u3524)), _u3523)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3527), _u3526)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3527), _u3525))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3530), _u3532)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3530, _u3532) = _u3530) )).
% 13.05/13.24 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3531), _u3533)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3531, _u3533) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3531), _u3533), _u3533)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3534), _u3535)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3534, _u3535) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3534), _u3535), _u3535)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3536), _u3537)), _u3537) = _u3536) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3538), _u3539)), _u3538) = _u3539) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3540), _u3541)), _u3542) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3541), _u3542))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3543), _u3544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3543), _u3545)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3544), _u3545)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3546), _u3547)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3548), _u3547)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3546), _u3548)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3550), _u3549)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3551), _u3549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3550), _u3551)) )).
% 13.05/13.24 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3550), _u3551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3550), _u3549)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3551), _u3549))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3554)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3552)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3554), _u3552)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3554)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3557)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3555) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3557), _u3555)) | ( _u3556 = _u3557) )).
% 13.05/13.24 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3557)) | ( _u3556 != _u3557) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3555) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3557), _u3555)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), _u3558)) = _u3558) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3560), _u3561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3562)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3561), _u3562))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3563), _u3564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3565), _u3564)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3565), _u3563))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3566), _u3567)), _u3566)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3568), _u3569)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3569, _u3568) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3569), _u3568), _u3568)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3570), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3571), _u3572)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3570), _u3571)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3570), _u3572))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3573), _u3574)), _u3575) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), _u3575)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3574), _u3575))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3576), _u3577)), _u3578) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3576), _u3578)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3577), _u3578))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3580), _u3581)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), _u3581))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3582), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3583, _u3584)), _u3584) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3582), _u3583), _u3584)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 13.05/13.24 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, _u3585, _u3586)), _u3587), _u3586) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3585), _u3587), _u3586)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3588), _u3589)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3589), _u3588)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3589)), hAPP(c_Int_Onat, _u3588))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u3593, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3595), _u3597)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3597), _u3595)) | hBOOL(hAPP(_u3593, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3595)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3597)))) )).
% 13.05/13.24 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u3593, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3595), _u3597)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3595), _u3597)) | hBOOL(hAPP(_u3593, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3598), _u3596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3596), _u3598)) )).
% 13.05/13.24 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3598), _u3596)) | ~hBOOL(hAPP(_u3594, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | ~hBOOL(hAPP(_u3594, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3596)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3598)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3596), _u3598)) )).
% 13.05/13.24 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | ~hBOOL(hAPP(_u3594, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3596)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3598)))) | ~hBOOL(hAPP(_u3594, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), _u3600), _u3601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3599), _u3600), _u3601)), c_Groups_Ozero__class_Ozero(_u3599))) )).
% 13.05/13.24 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3599), _u3600), _u3601)), c_Groups_Ozero__class_Ozero(_u3599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), _u3600), _u3601)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), _u3603), _u3604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) )).
% 13.05/13.24 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), _u3603), _u3604)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u3605) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3606), _u3607)), _u3608) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3609), _u3607)), _u3610)) | ( _u3608 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3609), _u3606)), _u3607)), _u3610)) )).
% 13.05/13.24 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u3605) | ( _u3608 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3609), _u3606)), _u3607)), _u3610)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3606), _u3607)), _u3608) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3609), _u3607)), _u3610)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u3611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3613)), _u3614) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3615), _u3613)), _u3616)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3611), _u3612), _u3615)), _u3613)), _u3614) = _u3616) )).
% 13.05/13.24 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u3611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3611), _u3612), _u3615)), _u3613)), _u3614) != _u3616) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3613)), _u3614) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3615), _u3613)), _u3616)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u3617) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3617), c_Groups_Ozero__class_Ozero(_u3617)), _u3618) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3617), _u3618)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u3619) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3619), _u3620), hAPP(c_Groups_Ouminus__class_Ouminus(_u3619), _u3621)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3619), _u3620), _u3621)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u3622) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3622), _u3623), _u3624) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3622), _u3623), hAPP(c_Groups_Ouminus__class_Ouminus(_u3622), _u3624))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u3625) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3625), _u3626), _u3627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3625), _u3626), hAPP(c_Groups_Ouminus__class_Ouminus(_u3625), _u3627))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3628) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3628), _u3629), _u3630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3628), _u3629), hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), _u3630))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3633), _u3635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3633), _u3635)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24 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), _u3634), _u3636)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3634), _u3636)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3638), _u3637)), _u3638)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3641), _u3643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3643), _u3641)) )).
% 13.05/13.24 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3644), _u3642)) | 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), _u3642), _u3644))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3645), _u3646)), hAPP(c_Nat_OSuc, _u3645))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3647), _u3648)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3651), _u3653) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3651), _u3653)) )).
% 13.05/13.24 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3654)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3652), _u3654) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3655), _u3656)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3655), _u3656) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3660), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3662), _u3664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3660), _u3664)), _u3662)) )).
% 13.05/13.24 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), _u3661), _u3665)), _u3663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3661), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3663), _u3665))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3666), _u3667)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3666), _u3667)) = _u3666) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3668), _u3669)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3669)), _u3668) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3669), _u3668))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3671), _u3670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3672), _u3670))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3671), _u3672)) )).
% 13.05/13.24 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3671), _u3672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3671), _u3670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3672), _u3670))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3673), _u3674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3675), _u3673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3673), _u3675)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), _u3675))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3676), _u3677)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3677), _u3678)), _u3676) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3677), _u3676)), _u3678)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), _u3680)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3680), _u3679)), _u3681) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3680), _u3681)), _u3679)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), _u3683)), _u3682) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3685), _u3686)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3686), _u3685) != _u3687) | ( _u3686 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), _u3685)) )).
% 13.05/13.24 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3685), _u3686)) | ( _u3686 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), _u3685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3686), _u3685) = _u3687) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3688), _u3689)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3688)), _u3688) = _u3689) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3690), _u3691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3692), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3691), _u3690))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), _u3690)), _u3691)) )).
% 13.05/13.24 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3690), _u3691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), _u3690)), _u3691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3692), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3691), _u3690))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3694)), _u3693)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3696), _u3697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3696), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3697), _u3696)) = _u3697) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3698), _u3699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3700), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3699), _u3700)), _u3698))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3704), _u3706)), _u3708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3704), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3708), _u3706))) )).
% 13.05/13.24 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3709), _u3707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3705), _u3707)), _u3709)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3710), _u3711)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3711), _u3710)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3712), _u3710)), _u3711)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3713), _u3714) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3713), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3714))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3715), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3716)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3715), _u3716)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3717)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3717) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3718), hAPP(c_Nat_OSuc, _u3719)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3718), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3719)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3720), _u3721)), _u3721) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3720), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3720, _u3721))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3722), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3723), _u3722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3723), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3723, _u3722))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3724, _u3725) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3724), _u3725)), _u3725))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3726), _u3727)) | ( c_Nat__Transfer_Otsub(_u3727, _u3726) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3727), _u3726)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3728), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3729)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3728), _u3729))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3731), _u3732)), _u3733)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3734), _u3732)), _u3735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3730), _u3734), _u3731)), _u3732)), _u3735))) )).
% 13.05/13.24 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3730), _u3734), _u3731)), _u3732)), _u3735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3731), _u3732)), _u3733)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3734), _u3732)), _u3735))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3737), _u3738)), _u3739)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3740), _u3738)), _u3741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3736), _u3737), _u3740)), _u3738)), _u3739)), _u3741)) )).
% 13.05/13.24 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3736), _u3737), _u3740)), _u3738)), _u3739)), _u3741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3737), _u3738)), _u3739)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3740), _u3738)), _u3741))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3743), _u3744)), _u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3746), _u3744)), _u3747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3742), _u3743), _u3746)), _u3744)), _u3745)), _u3747)) )).
% 13.05/13.24 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3742), _u3743), _u3746)), _u3744)), _u3745)), _u3747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3743), _u3744)), _u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3746), _u3744)), _u3747))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3749), _u3750)), _u3751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3752), _u3750)), _u3753))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), _u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3748), _u3752), _u3749)), _u3750)), _u3753))) )).
% 13.05/13.24 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), _u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3748), _u3752), _u3749)), _u3750)), _u3753))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3749), _u3750)), _u3751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3752), _u3750)), _u3753))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3754), hAPP(c_Nat_OSuc, _u3755))), _u3754)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3756)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3756), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3756) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u3762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3764), _u3766))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3764), _u3766)) | hBOOL(hAPP(_u3762, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.24 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u3762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3764), _u3766))) | ( _u3764 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3766), _u3757)) | hBOOL(hAPP(_u3762, _u3757)) )).
% 13.05/13.24 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3765), _u3767)) | ( _u3765 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3767), skolem73(_u3767, _u3765, _u3763))) )).
% 13.05/13.24 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3765), _u3767)) | ~hBOOL(hAPP(_u3763, skolem73(_u3767, _u3765, _u3763))) )).
% 13.05/13.24 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | ~hBOOL(hAPP(_u3763, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3765 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3767), skolem73(_u3767, _u3765, _u3763))) )).
% 13.05/13.24 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | ~hBOOL(hAPP(_u3763, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3763, skolem73(_u3767, _u3765, _u3763))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u3773, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3775), _u3777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3775), _u3777)) | hBOOL(hAPP(_u3773, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.24 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u3773, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3775), _u3777))) | ( _u3775 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3777), _u3768)) | hBOOL(hAPP(_u3773, _u3768)) )).
% 13.05/13.24 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3776), _u3778)) | ( _u3776 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3778), skolem74(_u3778, _u3776, _u3774))) )).
% 13.05/13.24 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3776), _u3778)) | ~hBOOL(hAPP(_u3774, skolem74(_u3778, _u3776, _u3774))) )).
% 13.05/13.24 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | ~hBOOL(hAPP(_u3774, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3776 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3778), skolem74(_u3778, _u3776, _u3774))) )).
% 13.05/13.24 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | ~hBOOL(hAPP(_u3774, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3774, skolem74(_u3778, _u3776, _u3774))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3781), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3783), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3781), _u3783)) )).
% 13.05/13.24 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3782), _u3784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3782), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3784), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3785), _u3786)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3787), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3786), _u3785))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3787), _u3785)), hAPP(c_Nat_OSuc, _u3786))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3789)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3789), _u3788))), _u3790) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3789)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3788), _u3790))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3791), _u3792)) | ~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), _u3792), _u3793)), _u3794)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3791), _u3793)), _u3795))) | 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), _u3792), _u3791)), _u3793)), _u3794)), _u3795)) )).
% 13.05/13.24 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3791), _u3792)) | ~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), _u3792), _u3791)), _u3793)), _u3794)), _u3795)) | 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), _u3792), _u3793)), _u3794)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3791), _u3793)), _u3795))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3796), _u3797)) | ( 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), _u3797), _u3798)), _u3799)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3796), _u3798)), _u3800)) = 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), _u3797), _u3796)), _u3798)), _u3799)), _u3800)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3801), _u3802)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3802), _u3803)), _u3804) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3801), _u3803)), _u3805)) | ( 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), _u3802), _u3801)), _u3803)), _u3804) = _u3805) )).
% 13.05/13.24 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3801), _u3802)) | ( 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), _u3802), _u3801)), _u3803)), _u3804) != _u3805) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3802), _u3803)), _u3804) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3801), _u3803)), _u3805)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3806), _u3807)) | ~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), _u3806), _u3808)), _u3809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3807), _u3808)), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), 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), _u3807), _u3806)), _u3808)), _u3810))) )).
% 13.05/13.24 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), 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), _u3807), _u3806)), _u3808)), _u3810))) | 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), _u3806), _u3808)), _u3809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3807), _u3808)), _u3810))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3811), _u3812)) | ( 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), _u3811), _u3813)), _u3814)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3812), _u3813)), _u3815)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3814), 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), _u3812), _u3811)), _u3813)), _u3815))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), _u3817)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3816), _u3818)), _u3819) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3817), _u3818)), _u3820)) | ( _u3819 = 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), _u3817), _u3816)), _u3818)), _u3820)) )).
% 13.05/13.24 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), _u3817)) | ( _u3819 != 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), _u3817), _u3816)), _u3818)), _u3820)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3816), _u3818)), _u3819) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3817), _u3818)), _u3820)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3823, _u3825) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3823, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3825)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3824, _u3826) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3824, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3826)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3824, _u3826)), _u3826)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3829, _u3831) != 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), _u3829), _u3831) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3830, _u3832) = 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), _u3830), _u3832) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3832), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3830, _u3832))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3833, _u3834) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3833), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3833), _u3834)), _u3834))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3835), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3836), _u3835)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3836), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3836, _u3835))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3839), _u3841)) | ( c_Nat__Transfer_Otsub(_u3841, _u3839) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3841), _u3839)) )).
% 13.05/13.24 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3840), _u3842)) | ( c_Nat__Transfer_Otsub(_u3842, _u3840) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3843)) | ( _u3843 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3843), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3844)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3844), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3844) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3845), _u3846)) | ~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), _u3845), _u3847)), _u3848)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3846), _u3847)), _u3849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3848), 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), _u3846), _u3845)), _u3847)), _u3849))) )).
% 13.05/13.24 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3845), _u3846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3848), 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), _u3846), _u3845)), _u3847)), _u3849))) | 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), _u3845), _u3847)), _u3848)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3846), _u3847)), _u3849))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3851)) | ~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), _u3851), _u3852)), _u3853)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3850), _u3852)), _u3854))) | 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), _u3851), _u3850)), _u3852)), _u3853)), _u3854)) )).
% 13.05/13.24 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3851)) | ~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), _u3851), _u3850)), _u3852)), _u3853)), _u3854)) | 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), _u3851), _u3852)), _u3853)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3850), _u3852)), _u3854))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__eq__if-1, axiom, ( ( _u3857 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3857), _u3859) = _u3859) )).
% 13.05/13.24 cnf(fact_add__eq__if-2, axiom, ( ( _u3858 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3858), _u3860) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3858), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3860))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__if ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), _u3861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3862), _u3861) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 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)), _u3861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), _u3861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3862), _u3861) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3862), _u3861)), _u3861))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3864), _u3863)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3864), _u3863) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3864), _u3863)), _u3863))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__eq__if-1, axiom, ( ( _u3867 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3867), _u3869) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_mult__eq__if-2, axiom, ( ( _u3868 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3868), _u3870) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3868), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3870))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3872)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3872), _u3871)), _u3872) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3877)) | ~hBOOL(hAPP(_u3876, _u3874)) | hBOOL(hAPP(_u3876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3877), _u3875)))) | hBOOL(hAPP(_u3876, skolem75(_u3877, _u3876, _u3875))) )).
% 13.05/13.24 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)), _u3875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3877)) | ~hBOOL(hAPP(_u3876, _u3874)) | hBOOL(hAPP(_u3876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3877), _u3875)))) | ~hBOOL(hAPP(_u3876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem75(_u3877, _u3876, _u3875)), _u3875))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3879), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3880), 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), _u3880), _u3879))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3878)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u3881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3882), 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), _u3882), _u3883))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3881))), _u3883)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3885, _u3886) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3887, _u3886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3887), _u3885)) | ( _u3885 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3886), skolem76(_u3887, _u3886, _u3885)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u3890, _u3891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3891), _u3889)) | hBOOL(hAPP(_u3890, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem77(_u3891, _u3890, _u3889)), _u3889)) )).
% 13.05/13.24 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u3890, _u3891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3891), _u3889)) | hBOOL(hAPP(_u3890, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3890, skolem77(_u3891, _u3890, _u3889))) )).
% 13.05/13.24 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u3890, _u3891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3891), _u3889)) | hBOOL(hAPP(_u3890, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3890, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem77(_u3891, _u3890, _u3889)), _u3889))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3892))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3892) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3892)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u3894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3894), _u3895), _u3896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3894), c_Groups_Ozero__class_Ozero(_u3894)), skolem78(_u3896, _u3895, _u3894))) )).
% 13.05/13.24 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u3894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3894), _u3895), _u3896)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3894), _u3895), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3894), _u3896), skolem78(_u3896, _u3895, _u3894)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u3897) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3897), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3898), _u3899)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3897), hAPP(c_Int_Oring__1__class_Oof__int(_u3897), _u3898)), _u3899)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u3900) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u3901)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3900), _u3901)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u3902) | ~class_Int_Oring__char__0(_u3902) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3903) != hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3904)) | ( _u3903 = _u3904) )).
% 13.05/13.24 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u3902) | ~class_Int_Oring__char__0(_u3902) | ( _u3903 != _u3904) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3903) = hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3904)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u3905) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906) != _u3907) | ( _u3907 = hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906)) )).
% 13.05/13.24 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u3905) | ( _u3907 != hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906) = _u3907) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3908) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3908), hAPP(c_Groups_Oabs__class_Oabs(_u3908), _u3909)) = hAPP(c_Groups_Oabs__class_Oabs(_u3908), _u3909)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3910)), _u3911))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3912), hAPP(c_Groups_Oabs__class_Oabs(_u3912), _u3913)), _u3914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3912), _u3913), _u3914)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3915) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), _u3916), hAPP(c_Groups_Oabs__class_Oabs(_u3915), _u3916))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3917) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3917), c_Groups_Ozero__class_Ozero(_u3917)) = c_Groups_Ozero__class_Ozero(_u3917)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3918) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3918), _u3919) != c_Groups_Ozero__class_Ozero(_u3918)) | ( _u3919 = c_Groups_Ozero__class_Ozero(_u3918)) )).
% 13.05/13.24 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3918) | ( _u3919 != c_Groups_Ozero__class_Ozero(_u3918)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3918), _u3919) = c_Groups_Ozero__class_Ozero(_u3918)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3920) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3920), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3920), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3921)), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3922))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3920), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3921)), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3922))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u3923) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), _u3924), _u3924)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u3925) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3925), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3925), _u3926), _u3927)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3925), hAPP(c_Groups_Oabs__class_Oabs(_u3925), _u3926)), hAPP(c_Groups_Oabs__class_Oabs(_u3925), _u3927))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3928), _u3929), _u3930)) = hAPP(c_Groups_Oabs__class_Oabs(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3928), _u3930), _u3929))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u3931) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3931), c_Groups_Oone__class_Oone(_u3931)) = c_Groups_Oone__class_Oone(_u3931)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3932) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3932), hAPP(c_Groups_Ouminus__class_Ouminus(_u3932), _u3933)) = hAPP(c_Groups_Oabs__class_Oabs(_u3932), _u3933)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3934) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3934), _u3935), _u3936)), _u3937) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3934), hAPP(hAPP(c_Power_Opower__class_Opower(_u3934), _u3935), _u3937)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3934), _u3936), _u3937))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u3938) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3938), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3938), _u3939)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3938), _u3939)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3940)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3940)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3943)), _u3944) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3943), _u3944))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3945), _u3946)), _u3947) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3945), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3946), _u3947))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3948), _u3949), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3949) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 13.05/13.24 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, _u3950, _u3951)), _u3952), _u3951) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3950), _u3952), _u3951)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u3953) | ~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), _u3954))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3953), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3954)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3953), _u3954)) )).
% 13.05/13.24 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u3953) | 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), _u3954))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3953), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3954)) = c_Groups_Ozero__class_Ozero(_u3953)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u3955) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3955), _u3956) = hAPP(c_Int_Oring__1__class_Oof__int(_u3955), _u3956)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u3957) | ~class_Rings_Olinordered__idom(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)), c_Groups_Ozero__class_Ozero(_u3957))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958))) )).
% 13.05/13.24 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u3957) | ~class_Rings_Olinordered__idom(_u3957) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)), c_Groups_Ozero__class_Ozero(_u3957))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 13.05/13.24 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), _u3961)), _u3963))) | ( _u3961 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3963 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 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), _u3962)), _u3964))) | ( _u3962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24 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), _u3962)), _u3964))) | ( _u3964 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3965), c_Groups_Ozero__class_Ozero(_u3965)), _u3966)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3965), _u3966) = _u3966) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3967), hAPP(c_Groups_Oabs__class_Oabs(_u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3967))) | ( _u3968 = c_Groups_Ozero__class_Ozero(_u3967)) )).
% 13.05/13.24 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3967) | ( _u3968 != c_Groups_Ozero__class_Ozero(_u3967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3967), hAPP(c_Groups_Oabs__class_Oabs(_u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3967))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(c_Groups_Oabs__class_Oabs(_u3969), _u3970))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3971), c_Groups_Ozero__class_Ozero(_u3971)), _u3972)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3971), _u3972) = _u3972) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3973), c_Groups_Ozero__class_Ozero(_u3973)), hAPP(c_Groups_Oabs__class_Oabs(_u3973), _u3974))) | ( _u3974 != c_Groups_Ozero__class_Ozero(_u3973)) )).
% 13.05/13.24 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3973) | ( _u3974 = c_Groups_Ozero__class_Ozero(_u3973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3973), c_Groups_Ozero__class_Ozero(_u3973)), hAPP(c_Groups_Oabs__class_Oabs(_u3973), _u3974))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3975), hAPP(c_Groups_Oabs__class_Oabs(_u3975), _u3976)), c_Groups_Ozero__class_Ozero(_u3975))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3977) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3977), hAPP(c_Groups_Oabs__class_Oabs(_u3977), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3977), _u3978), _u3979))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3977), hAPP(c_Groups_Oabs__class_Oabs(_u3977), _u3978)), hAPP(c_Groups_Oabs__class_Oabs(_u3977), _u3979)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u3980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3980), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3981)), _u3982)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3980), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3983)), _u3984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3980), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3981)), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3983))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), _u3982), _u3984))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3985) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3985), hAPP(c_Groups_Oabs__class_Oabs(_u3985), _u3986)), hAPP(c_Groups_Oabs__class_Oabs(_u3985), _u3987))), hAPP(c_Groups_Oabs__class_Oabs(_u3985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3985), _u3987), _u3986)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3988) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3988), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3989)), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3990))), hAPP(c_Groups_Oabs__class_Oabs(_u3988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3988), _u3989), _u3990)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3991) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3991), hAPP(c_Groups_Oabs__class_Oabs(_u3991), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3991), hAPP(c_Groups_Oabs__class_Oabs(_u3991), _u3992)), hAPP(c_Groups_Oabs__class_Oabs(_u3991), _u3993)))), hAPP(c_Groups_Oabs__class_Oabs(_u3991), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3991), _u3992), _u3993)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3994) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3994), hAPP(c_Groups_Ouminus__class_Ouminus(_u3994), _u3995)), hAPP(c_Groups_Oabs__class_Oabs(_u3994), _u3995))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), _u3997), _u3998)) )).
% 13.05/13.24 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Ouminus__class_Ouminus(_u3996), _u3997)), _u3998)) )).
% 13.05/13.24 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), _u3997), _u3998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Ouminus__class_Ouminus(_u3996), _u3997)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), _u3998)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), _u4000), _u4001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), hAPP(c_Groups_Ouminus__class_Ouminus(_u3999), _u4000)), _u4001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), hAPP(c_Groups_Oabs__class_Oabs(_u3999), _u4000)), _u4001)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4002) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4002), hAPP(c_Groups_Oabs__class_Oabs(_u4002), _u4003)), _u4004)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4002), hAPP(c_Groups_Ouminus__class_Ouminus(_u4002), _u4003)), _u4004)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Oabs__class_Oabs(_u4005), _u4006)), _u4007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), _u4006), _u4007)) )).
% 13.05/13.24 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Oabs__class_Oabs(_u4005), _u4006)), _u4007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Ouminus__class_Ouminus(_u4005), _u4006)), _u4007)) )).
% 13.05/13.24 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), _u4006), _u4007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Ouminus__class_Ouminus(_u4005), _u4006)), _u4007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Oabs__class_Oabs(_u4005), _u4006)), _u4007)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u4008) | ~class_Orderings_Olinorder(_u4008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009))) )).
% 13.05/13.24 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u4008) | ~class_Orderings_Olinorder(_u4008) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4011) | ~class_Rings_Osemiring(_u4011) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4011), _u4012), _u4013)), hAPP(c_Int_Onumber__class_Onumber__of(_u4011), _u4014)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4011), _u4012), hAPP(c_Int_Onumber__class_Onumber__of(_u4011), _u4014))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4011), _u4013), hAPP(c_Int_Onumber__class_Onumber__of(_u4011), _u4014)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4015) | ~class_Rings_Osemiring(_u4015) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4015), hAPP(c_Int_Onumber__class_Onumber__of(_u4015), _u4016)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4015), _u4017), _u4018)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4015), hAPP(c_Int_Onumber__class_Onumber__of(_u4015), _u4016)), _u4017)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4015), hAPP(c_Int_Onumber__class_Onumber__of(_u4015), _u4016)), _u4018))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4019) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4019), hAPP(hAPP(c_Power_Opower__class_Opower(_u4019), _u4020), _u4021)), _u4020) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4019), _u4020), hAPP(c_Nat_OSuc, _u4021))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4022) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4022), _u4023), hAPP(hAPP(c_Power_Opower__class_Opower(_u4022), _u4023), _u4024)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4022), _u4023), hAPP(c_Nat_OSuc, _u4024))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4025) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4025), _u4026), hAPP(c_Nat_OSuc, _u4027)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4025), _u4026), hAPP(hAPP(c_Power_Opower__class_Opower(_u4025), _u4026), _u4027))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4028) | ~class_Rings_Oring(_u4028) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4028), _u4029), _u4030)), hAPP(c_Int_Onumber__class_Onumber__of(_u4028), _u4031)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4028), _u4031))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4030), hAPP(c_Int_Onumber__class_Onumber__of(_u4028), _u4031)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4032) | ~class_Rings_Oring(_u4032) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4032), _u4034), _u4035)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4032), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4034)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4035))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4036) | ~class_Rings_Olinordered__idom(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4036), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4037)), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4037), _u4038)) )).
% 13.05/13.24 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4036) | ~class_Rings_Olinordered__idom(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4037), _u4038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4036), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4037)), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4038))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4039) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4039), _u4040), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4039)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4041) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4041), hAPP(hAPP(c_Power_Opower__class_Opower(_u4041), _u4042), _u4043)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4041), _u4042), _u4044)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4041), _u4042), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4043), _u4044))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4045) | ~class_Rings_Olinordered__idom(_u4045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4045), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4046)), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4046), _u4047)) )).
% 13.05/13.24 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4045) | ~class_Rings_Olinordered__idom(_u4045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4046), _u4047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4045), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4046)), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4047))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u4048) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4049), _u4050)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), hAPP(c_Int_Onumber__class_Onumber__of(_u4048), _u4049)), hAPP(c_Int_Onumber__class_Onumber__of(_u4048), _u4050))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4051) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4051), hAPP(c_Int_Onumber__class_Onumber__of(_u4051), _u4052)), hAPP(c_Int_Onumber__class_Onumber__of(_u4051), _u4053)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4051), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4052), _u4053))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4054), hAPP(c_Int_Onumber__class_Onumber__of(_u4054), _u4055)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4054), hAPP(c_Int_Onumber__class_Onumber__of(_u4054), _u4056)), _u4057)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4054), hAPP(c_Int_Onumber__class_Onumber__of(_u4054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4055), _u4056))), _u4057)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4058)) | 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), _u4058), _u4059))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4060) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), hAPP(c_Int_Onumber__class_Onumber__of(_u4060), _u4061)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), hAPP(c_Int_Onumber__class_Onumber__of(_u4060), _u4062)), _u4063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), hAPP(c_Int_Onumber__class_Onumber__of(_u4060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4061), _u4062))), _u4063)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u4064) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4064), hAPP(c_Int_Onumber__class_Onumber__of(_u4064), _u4065)), hAPP(c_Int_Onumber__class_Onumber__of(_u4064), _u4066)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4064), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4065), _u4066))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4067) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4068), _u4069)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4067), hAPP(c_Int_Onumber__class_Onumber__of(_u4067), _u4068)), hAPP(c_Int_Onumber__class_Onumber__of(_u4067), _u4069))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4070), _u4071)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4070) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u4072) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4072), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4073), _u4074)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4072), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4073)), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4074))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4075), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4076), _u4077)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4075), _u4076)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4075), _u4077))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u4078) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4078), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4079)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4078), hAPP(c_Int_Onumber__class_Onumber__of(_u4078), _u4079))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u4080) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4080), hAPP(c_Int_Onumber__class_Onumber__of(_u4080), _u4081)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4080), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4081))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4082) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4082), c_Groups_Osgn__class_Osgn(_u4082, _u4083)), hAPP(c_Groups_Oabs__class_Oabs(_u4082), _u4083)) = _u4083) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u4084) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4084), _u4085) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4084), _u4085), c_Groups_Osgn__class_Osgn(_u4084, _u4085))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u4086) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4086), c_Groups_Ozero__class_Ozero(_u4086)), _u4087)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4086), hAPP(c_Groups_Oabs__class_Oabs(_u4086), _u4088)), _u4087) = hAPP(c_Groups_Oabs__class_Oabs(_u4086), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4086), _u4088), _u4087))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4091)) )).
% 13.05/13.24 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4091), c_Groups_Ozero__class_Ozero(_u4089))) )).
% 13.05/13.24 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4090), c_Groups_Ozero__class_Ozero(_u4089))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4091)) )).
% 13.05/13.24 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4090), c_Groups_Ozero__class_Ozero(_u4089))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4091), c_Groups_Ozero__class_Ozero(_u4089))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4092) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4092), hAPP(c_Groups_Oabs__class_Oabs(_u4092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4092), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4092), _u4093), _u4094)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4092), _u4095), _u4096)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4092), hAPP(c_Groups_Oabs__class_Oabs(_u4092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4092), _u4093), _u4095))), hAPP(c_Groups_Oabs__class_Oabs(_u4092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4092), _u4094), _u4096))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4097) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4097), hAPP(c_Groups_Oabs__class_Oabs(_u4097), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4097), _u4098), _u4099))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4097), hAPP(c_Groups_Oabs__class_Oabs(_u4097), _u4098)), hAPP(c_Groups_Oabs__class_Oabs(_u4097), _u4099)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), _u4101), c_Groups_Ozero__class_Ozero(_u4100))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4100), _u4101) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4100), _u4101)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4102), hAPP(c_Groups_Ouminus__class_Ouminus(_u4102), hAPP(c_Groups_Oabs__class_Oabs(_u4102), _u4103))), c_Groups_Ozero__class_Ozero(_u4102))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4104), _u4105), c_Groups_Ozero__class_Ozero(_u4104))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4104), _u4105) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4104), _u4105)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u4106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4106), _u4107), c_Groups_Ozero__class_Ozero(_u4106))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4106), _u4107) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4106), _u4107)) )).
% 13.05/13.24 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u4106) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4106), _u4107), c_Groups_Ozero__class_Ozero(_u4106))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4106), _u4107) = _u4107) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4109)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4109 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u4110 != 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), _u4110)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u4111) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4111), hAPP(c_Int_Onumber__class_Onumber__of(_u4111), _u4112)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4111), hAPP(c_Int_Onumber__class_Onumber__of(_u4111), _u4113)), _u4114)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4111), hAPP(c_Int_Onumber__class_Onumber__of(_u4111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4112), _u4113))), _u4114)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4116) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4116)) )).
% 13.05/13.24 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4117) = _u4117) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4118) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(c_Groups_Ouminus__class_Ouminus(_u4118), hAPP(c_Int_Onumber__class_Onumber__of(_u4118), _u4119))), _u4120) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(c_Int_Onumber__class_Onumber__of(_u4118), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4119))), _u4120)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4121), _u4122))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4121))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4122)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4123) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4123), hAPP(c_Int_Onumber__class_Onumber__of(_u4123), _u4124)), hAPP(c_Int_Onumber__class_Onumber__of(_u4123), _u4125)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4124), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4125)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u4126) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), hAPP(c_Int_Onumber__class_Onumber__of(_u4126), _u4127)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4126), _u4128), hAPP(c_Int_Onumber__class_Onumber__of(_u4126), _u4129))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), hAPP(c_Int_Onumber__class_Onumber__of(_u4126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4127), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4129)))), _u4128)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4130), _u4131), _u4132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4130), c_Groups_Ozero__class_Ozero(_u4130)), _u4131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4130), hAPP(hAPP(c_Power_Opower__class_Opower(_u4130), _u4131), _u4133)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4130), _u4132), _u4133))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4134), c_Groups_Oone__class_Oone(_u4134)), _u4135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4134), c_Groups_Oone__class_Oone(_u4134)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4134), _u4135), _u4136))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4137), c_Groups_Oone__class_Oone(_u4137)), _u4138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4139)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4140))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4139), _u4140)) )).
% 13.05/13.24 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4137), c_Groups_Oone__class_Oone(_u4137)), _u4138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4139), _u4140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4139)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4140))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4141), c_Groups_Oone__class_Oone(_u4141)), _u4142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4141), hAPP(hAPP(c_Power_Opower__class_Opower(_u4141), _u4142), _u4143)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4141), _u4142), _u4144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4143), _u4144)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4146), _u4147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4145), c_Groups_Ozero__class_Ozero(_u4145)), _u4148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4145), _u4148), c_Groups_Oone__class_Oone(_u4145))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4145), hAPP(hAPP(c_Power_Opower__class_Opower(_u4145), _u4148), _u4147)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4145), _u4148), _u4146))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4150), _u4151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4149), c_Groups_Ozero__class_Ozero(_u4149)), _u4152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4149), _u4152), c_Groups_Oone__class_Oone(_u4149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4149), hAPP(hAPP(c_Power_Opower__class_Opower(_u4149), _u4152), _u4151)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4149), _u4152), _u4150))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4153), c_Groups_Ozero__class_Ozero(_u4153)), _u4154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4153), _u4154), c_Groups_Oone__class_Oone(_u4153))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4153), hAPP(hAPP(c_Power_Opower__class_Opower(_u4153), _u4154), hAPP(c_Nat_OSuc, _u4155))), c_Groups_Oone__class_Oone(_u4153))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4156) = _u4156) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4159)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4161))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4159), _u4161)) )).
% 13.05/13.24 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4160), _u4162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4160)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4162))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4165)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4167))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4165), _u4167)) )).
% 13.05/13.24 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4166), _u4168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4166)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4168))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4169)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4170)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4169), _u4170))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4171)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4172)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4171), _u4172))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4173)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4173))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4176), _u4178) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4176 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.24 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4177), _u4179) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4179 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4177), _u4179) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4177 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 13.05/13.24 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))), _u4180) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4183), _u4185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4183)) | ( _u4185 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 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), _u4184), _u4186))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4184)) )).
% 13.05/13.24 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), _u4184), _u4186))) | ( _u4186 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4187), _u4188)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4187), _u4189))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4188), _u4189)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4190) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4190)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 13.05/13.24 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))), _u4191)) | 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), _u4191), _u4192))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4193)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4193)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4194) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4194))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4195)), _u4196) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4195), _u4196))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_int__power ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4197), _u4198)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4197)), _u4198)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4199)), _u4200) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4199), _u4200))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4201)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4202)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4201), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4202)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__eq__if-1, axiom, ( ( _u4205 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4207), _u4205) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_power__eq__if-2, axiom, ( ( _u4206 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4208), _u4206) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4208), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4206), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4211) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4213)) | ( _u4211 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4213))) )).
% 13.05/13.24 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4211) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4213)) | 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), _u4213))) )).
% 13.05/13.24 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u4212 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4214))) | ~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), _u4214))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4212) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4214)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4215)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4215), _u4216)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4215)), _u4216)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4217)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4217)), _u4218) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4217), _u4218))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4219) | ( _u4220 = c_Groups_Ozero__class_Ozero(_u4219)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4219), _u4220), _u4221) != c_Groups_Ozero__class_Ozero(_u4219)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u4222) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4222), hAPP(hAPP(c_Power_Opower__class_Opower(_u4222), _u4223), _u4224)), _u4223) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4222), _u4223), hAPP(hAPP(c_Power_Opower__class_Opower(_u4222), _u4223), _u4224))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4225) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4225), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4225), _u4226), _u4227)), _u4228) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4225), hAPP(hAPP(c_Power_Opower__class_Opower(_u4225), _u4226), _u4228)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4225), _u4227), _u4228))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__one ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u4229) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4229), c_Groups_Oone__class_Oone(_u4229)), _u4230) = c_Groups_Oone__class_Oone(_u4229)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u4231) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4231), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4232), _u4233)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4231), _u4232)), _u4233)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u4234) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4234), _u4235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4236), _u4237)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4234), hAPP(hAPP(c_Power_Opower__class_Opower(_u4234), _u4235), _u4236)), _u4237)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4238)) = 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), _u4238)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4239) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4239), hAPP(hAPP(c_Power_Opower__class_Opower(_u4239), _u4240), _u4241)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4239), hAPP(c_Groups_Oabs__class_Oabs(_u4239), _u4240)), _u4241)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u4242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4242), _u4243), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4243) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4244), c_Groups_Ozero__class_Ozero(_u4244)), _u4245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4244), c_Groups_Ozero__class_Ozero(_u4244)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4244), _u4245), _u4246))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4247), _u4248), _u4249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4247), c_Groups_Ozero__class_Ozero(_u4247)), _u4248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4247), hAPP(hAPP(c_Power_Opower__class_Opower(_u4247), _u4248), _u4250)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4247), _u4249), _u4250))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4251), c_Groups_Ozero__class_Ozero(_u4251)), _u4252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4251), c_Groups_Ozero__class_Ozero(_u4251)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4251), _u4252), _u4253))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u4254) | ~class_Rings_Omult__zero(_u4254) | ~class_Rings_Ono__zero__divisors(_u4254) | ~class_Rings_Ozero__neq__one(_u4254) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) != c_Groups_Ozero__class_Ozero(_u4254)) | ( _u4255 = c_Groups_Ozero__class_Ozero(_u4254)) )).
% 13.05/13.24 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u4254) | ~class_Rings_Omult__zero(_u4254) | ~class_Rings_Ono__zero__divisors(_u4254) | ~class_Rings_Ozero__neq__one(_u4254) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) != c_Groups_Ozero__class_Ozero(_u4254)) | ( _u4256 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u4254) | ~class_Rings_Omult__zero(_u4254) | ~class_Rings_Ono__zero__divisors(_u4254) | ~class_Rings_Ozero__neq__one(_u4254) | ( _u4255 != c_Groups_Ozero__class_Ozero(_u4254)) | ( _u4256 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) = c_Groups_Ozero__class_Ozero(_u4254)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), c_Groups_Oone__class_Oone(_u4257)), _u4258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), c_Groups_Oone__class_Oone(_u4257)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4257), _u4258), _u4259))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u4260) | ~class_Rings_Osemiring__0(_u4260) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), c_Groups_Ozero__class_Ozero(_u4260)), hAPP(c_Nat_OSuc, _u4261)) = c_Groups_Ozero__class_Ozero(_u4260)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4262), c_Groups_Oone__class_Oone(_u4262)), _u4263)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4264) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4265)) | ( _u4264 = _u4265) )).
% 13.05/13.24 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4262), c_Groups_Oone__class_Oone(_u4262)), _u4263)) | ( _u4264 != _u4265) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4264) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4265)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u4266) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4266), _u4267), hAPP(c_Nat_OSuc, _u4268)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4266), hAPP(hAPP(c_Power_Opower__class_Opower(_u4266), _u4267), _u4268)), _u4267)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u4269) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), hAPP(c_Nat_OSuc, _u4271)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4269), _u4270), hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), _u4271))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u4272) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4272), _u4273), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4272)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__add ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u4274) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4276), _u4277)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4274), hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), _u4276)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), _u4277))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u4278) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4278), hAPP(hAPP(c_Power_Opower__class_Opower(_u4278), hAPP(c_Groups_Ouminus__class_Ouminus(_u4278), _u4279)), _u4280)) = hAPP(c_Groups_Oabs__class_Oabs(_u4278), hAPP(hAPP(c_Power_Opower__class_Opower(_u4278), _u4279), _u4280))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Power_Opower__class_Opower(_u4281), _u4282), _u4283)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4281), _u4284), _u4283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4281), c_Groups_Ozero__class_Ozero(_u4281)), _u4284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4282), _u4284)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4285) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4285), _u4286), hAPP(c_Nat_OSuc, _u4287)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4285), _u4288), hAPP(c_Nat_OSuc, _u4287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4285), c_Groups_Ozero__class_Ozero(_u4285)), _u4286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4285), c_Groups_Ozero__class_Ozero(_u4285)), _u4288)) | ( _u4286 = _u4288) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4289), hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), hAPP(c_Nat_OSuc, _u4291))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4292), hAPP(c_Nat_OSuc, _u4291)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4289), c_Groups_Ozero__class_Ozero(_u4289)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4289), _u4290), _u4292)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), c_Groups_Oone__class_Oone(_u4293)), _u4294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), c_Groups_Oone__class_Oone(_u4293)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4293), _u4294), hAPP(hAPP(c_Power_Opower__class_Opower(_u4293), _u4294), _u4295)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4296) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4296), c_Groups_Oone__class_Oone(_u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4296), hAPP(hAPP(c_Power_Opower__class_Opower(_u4296), _u4297), _u4298)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4296), _u4297), hAPP(hAPP(c_Power_Opower__class_Opower(_u4296), _u4297), _u4298)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u4299) | ~class_Rings_Osemiring__0(_u4299) | ( _u4300 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4299), c_Groups_Ozero__class_Ozero(_u4299)), _u4300) = c_Groups_Oone__class_Oone(_u4299)) )).
% 13.05/13.24 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u4299) | ~class_Rings_Osemiring__0(_u4299) | ( _u4300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4299), c_Groups_Ozero__class_Ozero(_u4299)), _u4300) = c_Groups_Ozero__class_Ozero(_u4299)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4301), c_Groups_Oone__class_Oone(_u4301)), _u4302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4301), c_Groups_Oone__class_Oone(_u4301)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4301), _u4302), hAPP(c_Nat_OSuc, _u4303)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4305), _u4306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4304), c_Groups_Oone__class_Oone(_u4304)), _u4307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4304), hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4307), _u4305)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4307), _u4306))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4308), c_Groups_Oone__class_Oone(_u4308)), _u4309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4308), hAPP(hAPP(c_Power_Opower__class_Opower(_u4308), _u4309), _u4310)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4308), _u4309), _u4311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4310), _u4311)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), c_Groups_Oone__class_Oone(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4314)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4314), _u4315)) )).
% 13.05/13.24 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), c_Groups_Oone__class_Oone(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4314), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4314)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4315))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4316), c_Groups_Ozero__class_Ozero(_u4316)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4316), hAPP(c_Groups_Oabs__class_Oabs(_u4316), _u4317)), _u4318))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4320), _u4321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4319), c_Groups_Oone__class_Oone(_u4319)), _u4322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4319), hAPP(hAPP(c_Power_Opower__class_Opower(_u4319), _u4322), _u4320)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4319), _u4322), _u4321))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u4323) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4323), hAPP(c_Groups_Ouminus__class_Ouminus(_u4323), _u4324)), _u4325) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4323), hAPP(hAPP(c_Power_Opower__class_Opower(_u4323), hAPP(c_Groups_Ouminus__class_Ouminus(_u4323), c_Groups_Oone__class_Oone(_u4323))), _u4325)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4323), _u4324), _u4325))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4326), c_Groups_Ozero__class_Ozero(_u4326)), _u4327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4326), _u4327), c_Groups_Oone__class_Oone(_u4326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4326), _u4327), hAPP(hAPP(c_Power_Opower__class_Opower(_u4326), _u4327), _u4328))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4326), _u4327), _u4328))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4329) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4329), _u4330), _u4331) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4329), _u4332), _u4331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), c_Groups_Ozero__class_Ozero(_u4329)), _u4330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), c_Groups_Ozero__class_Ozero(_u4329)), _u4332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4331)) | ( _u4330 = _u4332) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4334))) | ( 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), _u4334)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.24 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), _u4335))) | ( 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), _u4335)) = 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), _u4335)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u4336) | ( c_Power_Opower__class_Opower(_u4336) = c_Power_Opower_Opower(_u4336, c_Groups_Oone__class_Oone(_u4336), c_Groups_Otimes__class_Otimes(_u4336))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4339))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4339)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4341)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4340))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4340)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4342)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4340)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4342)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4345))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4345), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4347)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4346))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4348))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4346), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4348)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4346)) )).
% 13.05/13.24 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4346))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4348))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4346), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4348)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4346), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4348)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4351))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4351)), _u4353) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4353)) )).
% 13.05/13.24 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4352))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4352)), _u4354) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4352)), _u4354))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4357))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4357)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4359)) = 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), _u4359))) )).
% 13.05/13.24 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), _u4358))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4358)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4360)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4358)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4360)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4361)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4361) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4361), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4362))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4363) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4363)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4365)) )).
% 13.05/13.24 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)), _u4366)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4366)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4368), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4369), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4369)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4370)) | ( hAPP(c_Int_Onat, _u4370) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4371)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4371)) = _u4371) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u4372) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), c_Int_OMin)), _u4373) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4372), _u4373)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4374) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4374), _u4375), hAPP(c_Int_Onumber__class_Onumber__of(_u4374), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4374), _u4375)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4376), c_Groups_Oone__class_Oone(_u4376))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u4377) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4377), c_Groups_Oone__class_Oone(_u4377)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4377), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4378) | ~class_Rings_Olinordered__idom(_u4378) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4378), hAPP(c_Int_Onumber__class_Onumber__of(_u4378), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4378)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4379, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4380), _u4381) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4380 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4380 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4385), _u4387) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4385 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4387 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.24 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4385), _u4387) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4385 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4387 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4388, _u4389, _u4390), _u4391), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4389) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4392, _u4393, _u4394), _u4395), hAPP(c_Nat_OSuc, _u4396)) = hAPP(hAPP(_u4394, _u4395), hAPP(hAPP(c_Power_Opower_Opower(_u4392, _u4393, _u4394), _u4395), _u4396))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u4397) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4397), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4397), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4398), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4398)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4399))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4399) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 13.05/13.24 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, _u4400))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4401) | ~class_Rings_Olinordered__idom(_u4401) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4401), hAPP(hAPP(c_Power_Opower__class_Opower(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), c_Int_OMin)), _u4402)) = c_Groups_Oone__class_Oone(_u4401)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4403)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4403) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4406) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4408)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4408)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4406) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4408)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4408))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4406) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4408)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4408))) | ( _u4406 = _u4408) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) | ( _u4407 != _u4409) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4407 != _u4409) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) | ( _u4407 != _u4409) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) )).
% 13.05/13.24 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4407 != _u4409) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4413))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4413)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4415)), _u4417)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4415)), _u4417)) )).
% 13.05/13.24 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), _u4414))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4416))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4414)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4416)), _u4418)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4414)), _u4418)) )).
% 13.05/13.24 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), _u4414))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4416))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4414)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4416)), _u4418)) = 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), _u4414), _u4416))), _u4418)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4420))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4420)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4421))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4421)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4421)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4422) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4423))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4422), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4423)) = c_Groups_Ozero__class_Ozero(_u4422)) )).
% 13.05/13.24 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4422) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4423))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4422), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4423)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4422), _u4423)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4424), _u4425)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4424), _u4425) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4428))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4428)), _u4430)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4430)) )).
% 13.05/13.24 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), _u4429))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4429)), _u4431)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4429))), _u4431)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4433))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4433)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4434))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4434)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4434))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem80(_u4439, _u4438, _u4437)), _u4437)) )).
% 13.05/13.24 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | ( hAPP(_u4438, skolem80(_u4439, _u4438, _u4437)) = _u4439) )).
% 13.05/13.24 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(_u4438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4438, skolem79(_u4439, _u4438, _u4437))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem80(_u4439, _u4438, _u4437)), _u4437)) )).
% 13.05/13.24 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(_u4438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4438, skolem79(_u4439, _u4438, _u4437))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | ( hAPP(_u4438, skolem80(_u4439, _u4438, _u4437)) = _u4439) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem82(_u4444, _u4443, _u4442)), _u4442)) )).
% 13.05/13.24 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | ( hAPP(_u4443, skolem82(_u4444, _u4443, _u4442)) = _u4444) )).
% 13.05/13.24 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(_u4443, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4443, skolem81(_u4444, _u4443, _u4442))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem82(_u4444, _u4443, _u4442)), _u4442)) )).
% 13.05/13.24 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(_u4443, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4443, skolem81(_u4444, _u4443, _u4442))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | ( hAPP(_u4443, skolem82(_u4444, _u4443, _u4442)) = _u4444) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4445) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4446) != hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4447)) | c_Int_Oiszero(_u4445, hAPP(c_Int_Onumber__class_Onumber__of(_u4445), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4446), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4447)))) )).
% 13.05/13.24 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4445) | ~c_Int_Oiszero(_u4445, hAPP(c_Int_Onumber__class_Onumber__of(_u4445), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4446), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4447)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4446) = hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4447)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4449)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4450) != 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(_u4450)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4454), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4456)), _u4458)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4455), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4455)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4457)), _u4459)) = 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), _u4455), _u4457))), _u4459)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u4460)) = _u4460) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u4461) | c_Int_Oiszero(_u4461, hAPP(c_Int_Onumber__class_Onumber__of(_u4461), c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4462), c_Int_OPls) = _u4462) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4463) = _u4463) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4464) = c_Int_OPls) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4465), c_Int_OPls) = _u4465) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u4466) | ~c_Int_Oiszero(_u4466, _u4467) | ( _u4467 = c_Groups_Ozero__class_Ozero(_u4466)) )).
% 13.05/13.24 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u4466) | ( _u4467 != c_Groups_Ozero__class_Ozero(_u4466)) | c_Int_Oiszero(_u4466, _u4467) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u4468) | c_Int_Oiszero(_u4468, c_Groups_Ozero__class_Ozero(_u4468)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u4469) | ~c_Int_Oiszero(_u4469, c_Groups_Oone__class_Oone(_u4469)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u4470) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4470), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4470)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u4471) | ( c_Groups_Ozero__class_Ozero(_u4471) = hAPP(c_Int_Onumber__class_Onumber__of(_u4471), c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u4472) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4472), _u4473), hAPP(c_Int_Onumber__class_Onumber__of(_u4472), c_Int_OPls)) = _u4473) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u4474) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4474), hAPP(c_Int_Onumber__class_Onumber__of(_u4474), c_Int_OPls)), _u4475) = _u4475) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4476)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4477)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4476)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4477), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4476)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4478) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4478), _u4479) != c_Groups_Ozero__class_Ozero(_u4478)) | c_Int_Oiszero(_u4478, hAPP(c_Int_Onumber__class_Onumber__of(_u4478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4479), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 13.05/13.24 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4478) | ~c_Int_Oiszero(_u4478, hAPP(c_Int_Onumber__class_Onumber__of(_u4478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4479), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4478), _u4479) = c_Groups_Ozero__class_Ozero(_u4478)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4480) | ( c_Groups_Ozero__class_Ozero(_u4480) != hAPP(c_Int_Onumber__class_Onumber__of(_u4480), _u4481)) | c_Int_Oiszero(_u4480, hAPP(c_Int_Onumber__class_Onumber__of(_u4480), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4481)))) )).
% 13.05/13.24 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4480) | ~c_Int_Oiszero(_u4480, hAPP(c_Int_Onumber__class_Onumber__of(_u4480), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4481)))) | ( c_Groups_Ozero__class_Ozero(_u4480) = hAPP(c_Int_Onumber__class_Onumber__of(_u4480), _u4481)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4483), 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), _u4483)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4484), 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), _u4484)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4484))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4486), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4486)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4487), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4487)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4487))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4490), _u4492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4490)), _u4492)) )).
% 13.05/13.24 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4491)), _u4493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4491), _u4493)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u4494) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4494), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4495) = c_Int_Opred(_u4495)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4496), c_Int_OMin) = c_Int_Opred(_u4496)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4498), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4498)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4499), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4499)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4499))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4501) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4501), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4502), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4502) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4504), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4505), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4505)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4508), _u4510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4510)) )).
% 13.05/13.24 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), _u4508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4508), _u4510)) )).
% 13.05/13.24 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), _u4509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4509), _u4511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4511)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4514)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4514), _u4516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4514), c_Int_OPls)) )).
% 13.05/13.24 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), _u4515)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4517))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4515), _u4517)) )).
% 13.05/13.24 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), _u4515)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4517))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4515), c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u4518) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4518), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4519), c_Int_OMin) = c_Int_Osucc(_u4519)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4520) | ~c_Int_Oiszero(_u4520, hAPP(c_Int_Onumber__class_Onumber__of(_u4520), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4521) | ~class_Rings_Olinordered__idom(_u4521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4521), hAPP(c_Int_Onumber__class_Onumber__of(_u4521), _u4522)), c_Groups_Ozero__class_Ozero(_u4521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4522), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4521) | ~class_Rings_Olinordered__idom(_u4521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4522), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4521), hAPP(c_Int_Onumber__class_Onumber__of(_u4521), _u4522)), c_Groups_Ozero__class_Ozero(_u4521))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4523) | ~class_Rings_Olinordered__idom(_u4523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4523), c_Groups_Ozero__class_Ozero(_u4523)), hAPP(c_Int_Onumber__class_Onumber__of(_u4523), _u4524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4524)) )).
% 13.05/13.24 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4523) | ~class_Rings_Olinordered__idom(_u4523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4524)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4523), c_Groups_Ozero__class_Ozero(_u4523)), hAPP(c_Int_Onumber__class_Onumber__of(_u4523), _u4524))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4525) | ~class_Rings_Olinordered__idom(_u4525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4525), c_Groups_Ozero__class_Ozero(_u4525)), hAPP(c_Int_Onumber__class_Onumber__of(_u4525), _u4526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4526)) )).
% 13.05/13.24 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4525) | ~class_Rings_Olinordered__idom(_u4525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4525), c_Groups_Ozero__class_Ozero(_u4525)), hAPP(c_Int_Onumber__class_Onumber__of(_u4525), _u4526))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4527) | ~class_Rings_Olinordered__idom(_u4527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), hAPP(c_Int_Onumber__class_Onumber__of(_u4527), _u4528)), c_Groups_Ozero__class_Ozero(_u4527))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4528), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4527) | ~class_Rings_Olinordered__idom(_u4527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4528), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), hAPP(c_Int_Onumber__class_Onumber__of(_u4527), _u4528)), c_Groups_Ozero__class_Ozero(_u4527))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4530)) )).
% 13.05/13.24 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4531)) | 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), _u4531))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4534), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4534)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4536)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4536)) )).
% 13.05/13.24 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4535), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4535)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4537)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4535)) )).
% 13.05/13.24 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4535), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4535)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4537)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4535), _u4537))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u4538) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4538), c_Int_Osucc(_u4539)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4538), c_Groups_Oone__class_Oone(_u4538)), hAPP(c_Int_Onumber__class_Onumber__of(_u4538), _u4539))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u4540) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4540), c_Int_Opred(_u4541)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4540), hAPP(c_Groups_Ouminus__class_Ouminus(_u4540), c_Groups_Oone__class_Oone(_u4540))), hAPP(c_Int_Onumber__class_Onumber__of(_u4540), _u4541))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4544), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4544)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4546)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.24 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4545), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4547)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4545), _u4547))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4548) | ( c_Groups_Oone__class_Oone(_u4548) != hAPP(c_Int_Onumber__class_Onumber__of(_u4548), _u4549)) | c_Int_Oiszero(_u4548, hAPP(c_Int_Onumber__class_Onumber__of(_u4548), 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), _u4549)))) )).
% 13.05/13.24 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4548) | ~c_Int_Oiszero(_u4548, hAPP(c_Int_Onumber__class_Onumber__of(_u4548), 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), _u4549)))) | ( c_Groups_Oone__class_Oone(_u4548) = hAPP(c_Int_Onumber__class_Onumber__of(_u4548), _u4549)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4550) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4550), _u4551) != c_Groups_Oone__class_Oone(_u4550)) | c_Int_Oiszero(_u4550, hAPP(c_Int_Onumber__class_Onumber__of(_u4550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4551), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4550) | ~c_Int_Oiszero(_u4550, hAPP(c_Int_Onumber__class_Onumber__of(_u4550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4551), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4550), _u4551) = c_Groups_Oone__class_Oone(_u4550)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4552) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4552), c_Groups_Oone__class_Oone(_u4552)), hAPP(c_Int_Onumber__class_Onumber__of(_u4552), _u4553)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4552), 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), _u4553)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4554) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4554), hAPP(c_Int_Onumber__class_Onumber__of(_u4554), _u4555)), c_Groups_Oone__class_Oone(_u4554)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4554), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4555), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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, _u4556)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4557)) = 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)))), _u4556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4557))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 13.05/13.24 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, _u4558)))), _u4559) = 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)))), _u4558)), _u4559)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4560), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4561)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4560), 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)))), _u4561))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u4564) != c_Int_OBit1(_u4566)) | ( _u4564 = _u4566) )).
% 13.05/13.24 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u4565 != _u4567) | ( c_Int_OBit1(_u4565) = c_Int_OBit1(_u4567)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4570)), c_Int_OBit1(_u4572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4570), _u4572)) )).
% 13.05/13.24 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4571), _u4573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4571)), c_Int_OBit1(_u4573))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4576)), c_Int_OBit1(_u4578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4576), _u4578)) )).
% 13.05/13.24 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4577), _u4579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4577)), c_Int_OBit1(_u4579))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4582)), c_Int_OBit1(_u4584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4582), _u4584)) )).
% 13.05/13.24 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4583), _u4585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4583)), c_Int_OBit1(_u4585))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4588)), c_Int_OBit1(_u4590))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4588), _u4590)) )).
% 13.05/13.24 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4589), _u4591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4589)), c_Int_OBit1(_u4591))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u4592) != c_Int_OPls) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u4593)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u4595) != c_Int_OMin) | ( _u4595 = c_Int_OMin) )).
% 13.05/13.24 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u4596 != c_Int_OMin) | ( c_Int_OBit1(_u4596) = c_Int_OMin) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u4598)) | ( c_Int_OMin = _u4598) )).
% 13.05/13.24 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u4599) | ( c_Int_OMin = c_Int_OBit1(_u4599)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4601)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4601), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4602), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4602)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4604)) )).
% 13.05/13.24 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4605))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4607)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4607), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4608), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4608)), c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u4609) = 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)), _u4609)), _u4609)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4611)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4611), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4612), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4612)), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4614))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4614)) )).
% 13.05/13.24 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4615))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4617)) )).
% 13.05/13.24 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4618))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4620)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4620), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4621), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4621)), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4623)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4623))) )).
% 13.05/13.24 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4624))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4624)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4625)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4625)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4626) | ~class_Int_Oring__char__0(_u4626) | ~c_Int_Oiszero(_u4626, hAPP(c_Int_Onumber__class_Onumber__of(_u4626), c_Int_OBit1(_u4627))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4628) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4628), c_Int_OBit1(_u4629)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4628), c_Groups_Oone__class_Oone(_u4628)), hAPP(c_Int_Onumber__class_Onumber__of(_u4628), _u4629))), hAPP(c_Int_Onumber__class_Onumber__of(_u4628), _u4629))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u4630) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), hAPP(c_Int_Onumber__class_Onumber__of(_u4630), c_Int_OBit1(c_Int_OPls))), _u4631) = _u4631) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4632) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4632), _u4633), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), c_Int_OBit1(c_Int_OPls))) = _u4633) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u4634) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4634), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4634)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u4635) | ( c_Groups_Oone__class_Oone(_u4635) = hAPP(c_Int_Onumber__class_Onumber__of(_u4635), c_Int_OBit1(c_Int_OPls))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4637)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4637), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4638), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4638)), c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4640)) )).
% 13.05/13.24 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4641))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4642)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4642))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u4643) | ~c_Int_Oiszero(_u4643, hAPP(c_Int_Onumber__class_Onumber__of(_u4643), c_Int_OBit1(c_Int_OPls))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 13.05/13.24 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))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u4644) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4644), _u4645), 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(_u4644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4644), _u4645), _u4645)), _u4645)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 13.05/13.24 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))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4646))) = 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)))), _u4646)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 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))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 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))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4647) | ~class_Rings_Olinordered__idom(_u4647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), c_Groups_Oone__class_Oone(_u4647)), hAPP(c_Int_Onumber__class_Onumber__of(_u4647), _u4648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4648)) )).
% 13.05/13.24 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4647) | ~class_Rings_Olinordered__idom(_u4647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), c_Groups_Oone__class_Oone(_u4647)), hAPP(c_Int_Onumber__class_Onumber__of(_u4647), _u4648))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4649) | ~class_Rings_Olinordered__idom(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4649), hAPP(c_Int_Onumber__class_Onumber__of(_u4649), _u4650)), c_Groups_Oone__class_Oone(_u4649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4650), c_Int_OBit1(c_Int_OPls))) )).
% 13.05/13.24 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4649) | ~class_Rings_Olinordered__idom(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4650), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4649), hAPP(c_Int_Onumber__class_Onumber__of(_u4649), _u4650)), c_Groups_Oone__class_Oone(_u4649))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4651) | ~class_Rings_Olinordered__idom(_u4651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4652)), c_Groups_Oone__class_Oone(_u4651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4652), c_Int_OBit1(c_Int_OPls))) )).
% 13.05/13.24 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4651) | ~class_Rings_Olinordered__idom(_u4651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4652), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4652)), c_Groups_Oone__class_Oone(_u4651))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4653) | ~class_Rings_Olinordered__idom(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Oone__class_Oone(_u4653)), hAPP(c_Int_Onumber__class_Onumber__of(_u4653), _u4654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4654)) )).
% 13.05/13.24 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4653) | ~class_Rings_Olinordered__idom(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Oone__class_Oone(_u4653)), hAPP(c_Int_Onumber__class_Onumber__of(_u4653), _u4654))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4655) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4655), hAPP(c_Int_Onumber__class_Onumber__of(_u4655), _u4656)), c_Groups_Oone__class_Oone(_u4655)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4656), c_Int_OBit1(c_Int_OPls)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4657) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4657), c_Groups_Oone__class_Oone(_u4657)), hAPP(c_Int_Onumber__class_Onumber__of(_u4657), _u4658)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4658))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4659)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4660)), _u4659) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4660), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4659), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4661, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4662)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4661, 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)))), _u4662))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 13.05/13.24 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, _u4663))), _u4664) = 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)))), _u4663), _u4664)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 13.05/13.24 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, _u4665))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4666)) = 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)))), _u4665), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4666))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4667), 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)))), _u4668)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4667)) = 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), _u4668), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4667))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4671))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4673)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4671))) = 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), _u4673), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4671)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24 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), _u4672))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4672))) = 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), _u4674)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4672)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4675), 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)))), _u4676))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4675)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4676), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4675)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4677)) | ( 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)))), _u4678))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4677)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4678), _u4677)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4679)) | ( 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)))), _u4680)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4679)) = 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, _u4680, _u4679)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4682)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4681), 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)))), _u4682))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4681), hAPP(c_Int_Onat, _u4682))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4681), hAPP(c_Int_Onat, _u4682)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u4685) != c_Int_OBit0(_u4687)) | ( _u4685 = _u4687) )).
% 13.05/13.24 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u4686 != _u4688) | ( c_Int_OBit0(_u4686) = c_Int_OBit0(_u4688)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4691)), c_Int_OBit0(_u4693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4691), _u4693)) )).
% 13.05/13.24 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4692), _u4694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4692)), c_Int_OBit0(_u4694))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4697)), c_Int_OBit0(_u4699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4697), _u4699)) )).
% 13.05/13.24 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4698), _u4700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4698)), c_Int_OBit0(_u4700))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4703)), c_Int_OBit0(_u4705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4703), _u4705)) )).
% 13.05/13.24 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4704), _u4706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4704)), c_Int_OBit0(_u4706))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4709)), c_Int_OBit0(_u4711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4709), _u4711)) )).
% 13.05/13.24 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4710), _u4712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4710)), c_Int_OBit0(_u4712))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u4714)) | ( c_Int_OPls = _u4714) )).
% 13.05/13.24 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u4715) | ( c_Int_OPls = c_Int_OBit0(_u4715)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u4717) != c_Int_OPls) | ( _u4717 = c_Int_OPls) )).
% 13.05/13.24 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u4718 != c_Int_OPls) | ( c_Int_OBit0(_u4718) = c_Int_OPls) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u4719) != c_Int_OBit1(_u4720)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u4721) != c_Int_OBit0(_u4722)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u4723)), c_Int_OBit0(_u4724)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4723), _u4724))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u4725) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4725), _u4725)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u4726)), _u4727) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4726), _u4727))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u4728)), c_Int_OBit0(_u4729)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4728), _u4729))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u4730)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4730))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u4731)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u4732) != c_Int_OMin) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4734)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4734), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4735), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4735)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4737)) )).
% 13.05/13.24 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4738))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4740)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4740), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4741), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4741)), c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4744)), c_Int_OBit1(_u4746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4744), _u4746)) )).
% 13.05/13.24 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4745), _u4747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4745)), c_Int_OBit1(_u4747))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4750)), c_Int_OBit1(_u4752))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4750), _u4752)) )).
% 13.05/13.24 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4751), _u4753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4751)), c_Int_OBit1(_u4753))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4755)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4755), c_Int_OPls)) )).
% 13.05/13.24 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4756), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4756)), c_Int_OPls)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4758)) )).
% 13.05/13.24 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4759))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4762)), c_Int_OBit0(_u4764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4762), _u4764)) )).
% 13.05/13.24 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4763), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4763)), c_Int_OBit0(_u4765))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4768)), c_Int_OBit0(_u4770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4768), _u4770)) )).
% 13.05/13.24 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4769), _u4771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4769)), c_Int_OBit0(_u4771))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u4772)), c_Int_OBit1(_u4773)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4772), _u4773))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u4774)), c_Int_OBit0(_u4775)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4774), _u4775))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4776)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u4776))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u4777)), c_Int_OBit0(_u4778)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4777), _u4778))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u4779)), c_Int_OBit1(_u4780)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4779), _u4780))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4782)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4782), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4783), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4783)), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4785))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4785)) )).
% 13.05/13.24 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u4786))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4787))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4788))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4788))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4790)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4790))) )).
% 13.05/13.24 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4791))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4791)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u4792)) = c_Int_OBit1(c_Int_Opred(_u4792))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u4793)) = c_Int_OBit0(_u4793)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u4794) | ~class_Int_Oring__char__0(_u4794) | ~c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), c_Int_OBit0(_u4795))) | c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), _u4795)) )).
% 13.05/13.24 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u4794) | ~class_Int_Oring__char__0(_u4794) | ~c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), _u4795)) | c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), c_Int_OBit0(_u4795))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u4796)) = c_Int_OBit0(c_Int_Osucc(_u4796))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u4797)) = c_Int_OBit1(_u4797)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u4798) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4798), c_Int_OBit0(_u4799)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4798), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4798), c_Groups_Ozero__class_Ozero(_u4798)), hAPP(c_Int_Onumber__class_Onumber__of(_u4798), _u4799))), hAPP(c_Int_Onumber__class_Onumber__of(_u4798), _u4799))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4802)), c_Int_OBit1(_u4804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4802), _u4804)) )).
% 13.05/13.24 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4803), _u4805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4803)), c_Int_OBit1(_u4805))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4808)), c_Int_OBit1(_u4810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4808), _u4810)) )).
% 13.05/13.24 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4809), _u4811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4809)), c_Int_OBit1(_u4811))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4814)), c_Int_OBit0(_u4816))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), _u4816)) )).
% 13.05/13.24 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4815)), c_Int_OBit0(_u4817))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4820)), c_Int_OBit0(_u4822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4820), _u4822)) )).
% 13.05/13.24 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4821), _u4823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4821)), c_Int_OBit0(_u4823))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u4824)), _u4825) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4824), _u4825))), _u4825)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4827)) )).
% 13.05/13.24 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u4828))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4830)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4830), c_Int_OMin)) )).
% 13.05/13.24 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4831), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4831)), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4832)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4832))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4833)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4833))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u4834)), c_Int_OBit1(_u4835)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u4834)), _u4835))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u4836)), c_Int_OBit1(_u4837)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4836), c_Int_Osucc(_u4837)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u4838) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4838), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4838), c_Groups_Oone__class_Oone(_u4838)), c_Groups_Oone__class_Oone(_u4838))), hAPP(c_Int_Onumber__class_Onumber__of(_u4838), _u4839)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4838), c_Int_OBit0(_u4839))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4840))) | 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(_u4840)))) )).
% 13.05/13.24 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), _u4840))) | 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(_u4840)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u4841) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4841), _u4842), hAPP(c_Int_Onumber__class_Onumber__of(_u4841), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4841), _u4842), _u4842)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u4843) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4843), hAPP(c_Int_Onumber__class_Onumber__of(_u4843), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4844) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4843), _u4844), _u4844)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u4845) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4845), c_Groups_Oone__class_Oone(_u4845)), c_Groups_Oone__class_Oone(_u4845)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4845), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4846) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4846), _u4847), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u4846)) | ( _u4847 = c_Groups_Ozero__class_Ozero(_u4846)) )).
% 13.05/13.24 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4846) | ( _u4847 != c_Groups_Ozero__class_Ozero(_u4846)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4846), _u4847), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u4846)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u4848) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4848), c_Groups_Ozero__class_Ozero(_u4848)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u4848)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 13.05/13.24 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)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 13.05/13.24 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)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4849) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4849), _u4850), _u4850) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4849), _u4850), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u4851) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4851), _u4852), 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(_u4851), _u4852), _u4852)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 13.05/13.24 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))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 13.05/13.24 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)))), _u4853) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4853))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4854), 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, _u4854))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u4855) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4855), c_Groups_Oone__class_Oone(_u4855)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u4855)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u4856) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4856), hAPP(c_Groups_Ouminus__class_Ouminus(_u4856), _u4857)), 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(_u4856), _u4857), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 13.05/13.24 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)))), _u4858) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4858), _u4858)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4859), 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), _u4859), _u4859)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u4860) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4860), _u4861), 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)))), _u4862)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4860), hAPP(hAPP(c_Power_Opower__class_Opower(_u4860), _u4861), _u4862)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 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))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 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))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u4863) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4863), hAPP(hAPP(c_Power_Opower__class_Opower(_u4863), _u4864), 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(_u4863), _u4864), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4865) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4865), hAPP(c_Groups_Oabs__class_Oabs(_u4865), _u4866)), 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(_u4865), _u4866), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 13.05/13.24 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)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4867)), 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, _u4867, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 13.05/13.24 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, _u4868))), 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), _u4868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 13.05/13.24 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(_u4869)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4870))) = hAPP(hAPP(c_Groups_Otimes__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), _u4869), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4870)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4871), _u4871)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u4871) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4872) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4872), _u4873), 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(_u4872), _u4874), 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(_u4872), c_Groups_Ozero__class_Ozero(_u4872)), _u4873)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4872), c_Groups_Ozero__class_Ozero(_u4872)), _u4874)) | ( _u4873 = _u4874) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4875), hAPP(hAPP(c_Power_Opower__class_Opower(_u4875), _u4876), 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(_u4875), _u4877), 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(_u4875), c_Groups_Ozero__class_Ozero(_u4875)), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4875), _u4876), _u4877)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u4878) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4878), c_Groups_Ozero__class_Ozero(_u4878)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4878), _u4879), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Ozero__class_Ozero(_u4880)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4880), _u4881), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u4881 != c_Groups_Ozero__class_Ozero(_u4880)) )).
% 13.05/13.24 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u4880) | ( _u4881 = c_Groups_Ozero__class_Ozero(_u4880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Ozero__class_Ozero(_u4880)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4880), _u4881), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u4882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4882), hAPP(hAPP(c_Power_Opower__class_Opower(_u4882), _u4883), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u4882))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4884) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(hAPP(c_Power_Opower__class_Opower(_u4884), _u4885), 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(_u4884), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u4884)) | ( _u4885 = c_Groups_Ozero__class_Ozero(_u4884)) )).
% 13.05/13.24 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4884) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(hAPP(c_Power_Opower__class_Opower(_u4884), _u4885), 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(_u4884), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u4884)) | ( _u4886 = c_Groups_Ozero__class_Ozero(_u4884)) )).
% 13.05/13.24 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u4884) | ( _u4885 != c_Groups_Ozero__class_Ozero(_u4884)) | ( _u4886 != c_Groups_Ozero__class_Ozero(_u4884)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(hAPP(c_Power_Opower__class_Opower(_u4884), _u4885), 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(_u4884), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u4884)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u4887) | ~class_Int_Onumber(_u4887) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4887), hAPP(c_Int_Onumber__class_Onumber__of(_u4887), _u4888)), 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(_u4887), hAPP(c_Int_Onumber__class_Onumber__of(_u4887), _u4888)), hAPP(c_Int_Onumber__class_Onumber__of(_u4887), _u4888))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4889), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u4889 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4889 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 13.05/13.24 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)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4890) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4890), _u4891), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 = c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4890), c_Groups_Oone__class_Oone(_u4890))) )).
% 13.05/13.24 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4890) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4890), _u4891), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 != c_Groups_Oone__class_Oone(_u4890)) )).
% 13.05/13.24 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4890) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4890), _u4891), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4890), c_Groups_Oone__class_Oone(_u4890))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4892) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4892), _u4893), 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)))), _u4894)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4892), hAPP(hAPP(c_Power_Opower__class_Opower(_u4892), _u4893), _u4894)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4892), _u4893), _u4894))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u4895) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4895), hAPP(c_Groups_Ouminus__class_Ouminus(_u4895), _u4896)), 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)))), _u4897)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4895), _u4896), 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)))), _u4897))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4898) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), hAPP(hAPP(c_Power_Opower__class_Opower(_u4898), _u4899), 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(_u4898), _u4900), 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(_u4898), c_Groups_Ozero__class_Ozero(_u4898)), _u4900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), _u4899), _u4900)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u4901) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4901), c_Groups_Ozero__class_Ozero(_u4901)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4901), hAPP(hAPP(c_Power_Opower__class_Opower(_u4901), _u4902), 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(_u4901), _u4903), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4904), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4904), hAPP(hAPP(c_Power_Opower__class_Opower(_u4904), _u4905), 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(_u4904), _u4906), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4904))) | ( _u4905 = c_Groups_Ozero__class_Ozero(_u4904)) )).
% 13.05/13.24 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4904), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4904), hAPP(hAPP(c_Power_Opower__class_Opower(_u4904), _u4905), 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(_u4904), _u4906), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4904))) | ( _u4906 = c_Groups_Ozero__class_Ozero(_u4904)) )).
% 13.05/13.24 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u4904) | ( _u4905 != c_Groups_Ozero__class_Ozero(_u4904)) | ( _u4906 != c_Groups_Ozero__class_Ozero(_u4904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4904), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4904), hAPP(hAPP(c_Power_Opower__class_Opower(_u4904), _u4905), 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(_u4904), _u4906), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4904))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u4907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4907), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4907), hAPP(hAPP(c_Power_Opower__class_Opower(_u4907), _u4908), 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(_u4907), _u4909), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4907))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4910), c_Groups_Ozero__class_Ozero(_u4910)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(hAPP(c_Power_Opower__class_Opower(_u4910), _u4911), 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(_u4910), _u4912), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u4911 != c_Groups_Ozero__class_Ozero(_u4910)) | ( _u4912 != c_Groups_Ozero__class_Ozero(_u4910)) )).
% 13.05/13.24 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4910) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4910), c_Groups_Ozero__class_Ozero(_u4910)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(hAPP(c_Power_Opower__class_Opower(_u4910), _u4911), 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(_u4910), _u4912), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u4911 = c_Groups_Ozero__class_Ozero(_u4910)) )).
% 13.05/13.24 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u4910) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4910), c_Groups_Ozero__class_Ozero(_u4910)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(hAPP(c_Power_Opower__class_Opower(_u4910), _u4911), 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(_u4910), _u4912), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u4912 = c_Groups_Ozero__class_Ozero(_u4910)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u4913) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4913), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4913), _u4914), _u4915)), 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(_u4913), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4913), hAPP(hAPP(c_Power_Opower__class_Opower(_u4913), _u4914), 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(_u4913), _u4915), 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(_u4913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4913), hAPP(c_Int_Onumber__class_Onumber__of(_u4913), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4914)), _u4915))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u4916) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), c_Groups_Ozero__class_Ozero(_u4916)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4916), _u4917), 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)))), _u4918)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4919) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4919), _u4920), 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)))), _u4921))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), _u4920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), hAPP(hAPP(c_Power_Opower__class_Opower(_u4919), _u4920), _u4921)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4919), _u4920), _u4921)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u4922) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4922), _u4923), 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)))), _u4924))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4922), _u4923), hAPP(hAPP(c_Power_Opower__class_Opower(_u4922), hAPP(hAPP(c_Power_Opower__class_Opower(_u4922), _u4923), _u4924)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u4925) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4925), hAPP(c_Groups_Ouminus__class_Ouminus(_u4925), c_Groups_Oone__class_Oone(_u4925))), 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)))), _u4926)) = c_Groups_Oone__class_Oone(_u4925)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 13.05/13.24 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), _u4929))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4931))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4929))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4931)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4929))) )).
% 13.05/13.24 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), _u4930))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4932))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4930))) = 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), _u4932)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4930))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 13.05/13.24 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, _u4934, 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, _u4934, 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)) )).
% 13.05/13.24 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4935, 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, _u4935, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4936)) | 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), _u4936), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u4937) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4937), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4937), _u4938), _u4939)), 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(_u4937), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4937), hAPP(hAPP(c_Power_Opower__class_Opower(_u4937), _u4938), 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(_u4937), _u4939), 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(_u4937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4937), hAPP(c_Int_Onumber__class_Onumber__of(_u4937), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4938)), _u4939))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u4940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4940), c_Groups_Ozero__class_Ozero(_u4940)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4940), _u4941), 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)))), _u4942))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4940), c_Groups_Ozero__class_Ozero(_u4940)), _u4941)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u4943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4943), _u4944), c_Groups_Ozero__class_Ozero(_u4943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4943), hAPP(hAPP(c_Power_Opower__class_Opower(_u4943), _u4944), 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)))), _u4945)))), c_Groups_Ozero__class_Ozero(_u4943))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u4946) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4946), hAPP(c_Groups_Ouminus__class_Ouminus(_u4946), c_Groups_Oone__class_Oone(_u4946))), 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)))), _u4947))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4946), c_Groups_Oone__class_Oone(_u4946))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u4948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4948), hAPP(c_Int_Onumber__class_Onumber__of(_u4948), 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)))), _u4949)) = c_Groups_Oone__class_Oone(_u4948)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u4950) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4950), hAPP(c_Int_Onumber__class_Onumber__of(_u4950), 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)))), _u4951))) = hAPP(c_Int_Onumber__class_Onumber__of(_u4950), c_Int_OMin)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 13.05/13.24 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)), _u4952)) | 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), _u4952), 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)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_int__of__code-1, axiom, ( ( _u4954 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u4954) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.24 cnf(fact_int__of__code-2, axiom, ( ( _u4955 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u4955, 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, _u4955) = hAPP(hAPP(c_Groups_Otimes__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), _u4955), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 13.05/13.24 cnf(fact_int__of__code-3, axiom, ( ( _u4955 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u4955, 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, _u4955) = 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), _u4955), 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.24 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))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4956) | ~class_Int_Onumber__ring(_u4956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4956), _u4957), hAPP(c_Int_Onumber__class_Onumber__of(_u4956), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), _u4957)) )).
% 13.05/13.24 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4956) | ~class_Int_Onumber__ring(_u4956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), _u4957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4956), _u4957), hAPP(c_Int_Onumber__class_Onumber__of(_u4956), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4958) | ~class_Int_Onumber__ring(_u4958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4958), c_Groups_Ozero__class_Ozero(_u4958)), _u4959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4958), c_Groups_Ozero__class_Ozero(_u4958)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4958), _u4959), hAPP(c_Int_Onumber__class_Onumber__of(_u4958), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 13.05/13.24 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)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem83(_u4965, _u4964, _u4963, _u4962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem84(_u4965, _u4964, _u4963, _u4962))) )).
% 13.05/13.24 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem83(_u4965, _u4964, _u4963, _u4962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem84(_u4965, _u4964, _u4963, _u4962)), _u4963)) )).
% 13.05/13.24 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem83(_u4965, _u4964, _u4963, _u4962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | ( hAPP(_u4964, skolem84(_u4965, _u4964, _u4963, _u4962)) = _u4965) )).
% 13.05/13.24 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem84(_u4965, _u4964, _u4963, _u4962))) )).
% 13.05/13.24 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem84(_u4965, _u4964, _u4963, _u4962)), _u4963)) )).
% 13.05/13.24 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | ( hAPP(_u4964, skolem84(_u4965, _u4964, _u4963, _u4962)) = _u4965) )).
% 13.05/13.24 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(_u4964, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4964, skolem83(_u4965, _u4964, _u4963, _u4962))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem84(_u4965, _u4964, _u4963, _u4962))) )).
% 13.05/13.24 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(_u4964, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4964, skolem83(_u4965, _u4964, _u4963, _u4962))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem84(_u4965, _u4964, _u4963, _u4962)), _u4963)) )).
% 13.05/13.24 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(_u4964, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4964, skolem83(_u4965, _u4964, _u4963, _u4962))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | ( hAPP(_u4964, skolem84(_u4965, _u4964, _u4963, _u4962)) = _u4965) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u4966) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4966), c_Groups_Ozero__class_Ozero(_u4966)), _u4967) = c_Groups_Ozero__class_Ozero(_u4966)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u4968) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4968), _u4969), c_Groups_Ozero__class_Ozero(_u4968)) = c_Groups_Ozero__class_Ozero(_u4968)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u4970) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4970), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4970), _u4971), _u4972)), _u4973) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4970), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4970), _u4971), _u4973)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4970), _u4972), _u4973))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u4974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4974), _u4975), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4974), _u4976), _u4977)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4974), _u4975), _u4976)), _u4977)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4978), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4978), _u4979), _u4980)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4978), _u4981), _u4982)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4978), _u4979), _u4981)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4978), _u4980), _u4982))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u4983) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4983), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4983), _u4984), _u4985)), _u4986) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4983), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4983), _u4984), _u4986)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4983), _u4985), _u4986))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u4987) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4987), _u4988), c_Groups_Oone__class_Oone(_u4987)) = _u4988) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u4989) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4989), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4989), _u4990), _u4991)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4989), hAPP(c_Groups_Ouminus__class_Ouminus(_u4989), _u4990)), _u4991)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4992) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4992), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4992), _u4993), _u4994)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4992), _u4993), hAPP(c_Groups_Ouminus__class_Ouminus(_u4992), _u4994))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4995) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4995), hAPP(c_Groups_Ouminus__class_Ouminus(_u4995), _u4996)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4995), _u4997)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4995), _u4996), _u4997)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4998) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4998), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4998), _u4999), _u5000)), _u5001) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4998), hAPP(hAPP(c_Power_Opower__class_Opower(_u4998), _u4999), _u5001)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4998), _u5000), _u5001))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5002) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5002), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5002), _u5003), _u5004)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5002), hAPP(c_Groups_Oabs__class_Oabs(_u5002), _u5003)), hAPP(c_Groups_Oabs__class_Oabs(_u5002), _u5004))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5005) | ~c_Nat__Transfer_Ois__nat(_u5006) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5005), _u5006)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 13.05/13.24 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), _u5007)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5008) | ~c_Nat__Transfer_Ois__nat(_u5009) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5008), _u5009)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5010) | ~c_Nat__Transfer_Ois__nat(_u5011) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5010, _u5011)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5012) | ~c_Nat__Transfer_Ois__nat(_u5013) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5012), _u5013)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5014) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5014), _u5015)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5016), _u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5016), _u5019), c_Groups_Ozero__class_Ozero(_u5016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5016), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5016), _u5018), _u5019)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5016), _u5017), _u5019))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5020), _u5021), _u5022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5020), c_Groups_Ozero__class_Ozero(_u5020)), _u5023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5020), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5020), _u5021), _u5023)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5020), _u5022), _u5023))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5025), c_Groups_Ozero__class_Ozero(_u5024))) )).
% 13.05/13.24 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5026)) )).
% 13.05/13.24 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5026), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5025), c_Groups_Ozero__class_Ozero(_u5024))) )).
% 13.05/13.24 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5026), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5026)) )).
% 13.05/13.24 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5026), c_Groups_Ozero__class_Ozero(_u5024))) )).
% 13.05/13.24 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5025), c_Groups_Ozero__class_Ozero(_u5024))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5026)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5028), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.05/13.24 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5029), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.05/13.24 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5028), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.05/13.24 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5029), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.05/13.24 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5029)) )).
% 13.05/13.24 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5028), c_Groups_Ozero__class_Ozero(_u5027))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5029), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5030), _u5031), _u5032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5030), _u5033), c_Groups_Ozero__class_Ozero(_u5030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5030), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5030), _u5032), _u5033)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5030), _u5031), _u5033))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5034), _u5035), _u5036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5034), c_Groups_Ozero__class_Ozero(_u5034)), _u5037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5034), _u5035), _u5037)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5034), _u5036), _u5037))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5038), _u5039), c_Groups_Ozero__class_Ozero(_u5038))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5038), _u5040), c_Groups_Ozero__class_Ozero(_u5038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5038), c_Groups_Ozero__class_Ozero(_u5038)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5038), _u5039), _u5040))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5041) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5041), _u5042), c_Groups_Ozero__class_Ozero(_u5041))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5041), c_Groups_Ozero__class_Ozero(_u5041)), _u5043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5041), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5041), _u5042), _u5043)), c_Groups_Ozero__class_Ozero(_u5041))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5044), c_Groups_Ozero__class_Ozero(_u5044)), _u5045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5044), _u5046), c_Groups_Ozero__class_Ozero(_u5044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5044), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5044), _u5045), _u5046)), c_Groups_Ozero__class_Ozero(_u5044))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), c_Groups_Ozero__class_Ozero(_u5047)), _u5048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), c_Groups_Ozero__class_Ozero(_u5047)), _u5049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), c_Groups_Ozero__class_Ozero(_u5047)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5047), _u5048), _u5049))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5051), c_Groups_Ozero__class_Ozero(_u5050))) )).
% 13.05/13.24 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5052)) )).
% 13.05/13.24 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5052), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5051), c_Groups_Ozero__class_Ozero(_u5050))) )).
% 13.05/13.24 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5052), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5052)) )).
% 13.05/13.24 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5052), c_Groups_Ozero__class_Ozero(_u5050))) )).
% 13.05/13.24 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5051), c_Groups_Ozero__class_Ozero(_u5050))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5052)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5054), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.05/13.24 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5055), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.05/13.24 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5054), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.05/13.24 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5055), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.05/13.24 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5055)) )).
% 13.05/13.24 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5054), c_Groups_Ozero__class_Ozero(_u5053))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5055), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5056) | ( _u5057 = c_Groups_Ozero__class_Ozero(_u5056)) | ( _u5058 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5056), _u5059), _u5057)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5056), _u5058), _u5057) = _u5059) )).
% 13.05/13.24 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5056) | ( _u5057 = c_Groups_Ozero__class_Ozero(_u5056)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5056), _u5058), _u5057) != _u5059) | ( _u5058 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5056), _u5059), _u5057)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5060) | ( _u5061 = c_Groups_Ozero__class_Ozero(_u5060)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5060), _u5062), _u5061) != _u5063) | ( _u5062 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5060), _u5063), _u5061)) )).
% 13.05/13.24 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5060) | ( _u5061 = c_Groups_Ozero__class_Ozero(_u5060)) | ( _u5062 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5060), _u5063), _u5061)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5060), _u5062), _u5061) = _u5063) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5064) | ( _u5065 = c_Groups_Ozero__class_Ozero(_u5064)) | ( _u5066 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5064), _u5067), _u5065)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5064), _u5066), _u5065) = _u5067) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5068) | ( _u5069 = c_Groups_Ozero__class_Ozero(_u5068)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5068), _u5070), _u5069) != _u5071) | ( _u5070 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5068), _u5071), _u5069)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u5072) | ( _u5073 = c_Groups_Ozero__class_Ozero(_u5072)) | ( _u5074 = c_Groups_Ozero__class_Ozero(_u5072)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5075), _u5073) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5076), _u5074)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5075), _u5074) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5076), _u5073)) )).
% 13.05/13.24 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u5072) | ( _u5073 = c_Groups_Ozero__class_Ozero(_u5072)) | ( _u5074 = c_Groups_Ozero__class_Ozero(_u5072)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5075), _u5074) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5076), _u5073)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5075), _u5073) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5076), _u5074)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5077) | ( _u5078 = c_Groups_Ozero__class_Ozero(_u5077)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5077), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5077), _u5078), _u5079)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5077), _u5078), _u5080)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5077), _u5079), _u5080)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5081) | ( _u5082 = c_Groups_Ozero__class_Ozero(_u5081)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5081), _u5083), _u5082)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5081), _u5084), _u5082)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5081), _u5083), _u5084)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) != _u5088) | ( _u5087 = c_Groups_Ozero__class_Ozero(_u5085)) | ( _u5086 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5085), _u5088), _u5087)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) != _u5088) | ( _u5087 != c_Groups_Ozero__class_Ozero(_u5085)) | ( _u5088 = c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) = _u5088) | ( _u5087 != c_Groups_Ozero__class_Ozero(_u5085)) | ( _u5088 != c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) = _u5088) | ( _u5086 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5085), _u5088), _u5087)) | ( _u5087 = c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) = _u5088) | ( _u5086 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5085), _u5088), _u5087)) | ( _u5088 != c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( _u5092 = c_Groups_Ozero__class_Ozero(_u5089)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5089), _u5090), _u5092) = _u5091) )).
% 13.05/13.24 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( _u5092 != c_Groups_Ozero__class_Ozero(_u5089)) | ( _u5090 = c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( _u5092 != c_Groups_Ozero__class_Ozero(_u5089)) | ( _u5090 != c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5089), _u5090), _u5092) != _u5091) | ( _u5092 = c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5089), _u5090), _u5092) != _u5091) | ( _u5090 != c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5093) | ( _u5094 != c_Groups_Ozero__class_Ozero(_u5093)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5093), _u5094), _u5094) = c_Groups_Ozero__class_Ozero(_u5093)) )).
% 13.05/13.24 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5093) | ( _u5094 = c_Groups_Ozero__class_Ozero(_u5093)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5093), _u5094), _u5094) = c_Groups_Oone__class_Oone(_u5093)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u5095) | ( _u5096 = c_Groups_Ozero__class_Ozero(_u5095)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5095), _u5096), _u5096) = c_Groups_Oone__class_Oone(_u5095)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5097) | ( _u5098 = c_Groups_Ozero__class_Ozero(_u5097)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5097), _u5099), _u5098) != c_Groups_Oone__class_Oone(_u5097)) | ( _u5099 = _u5098) )).
% 13.05/13.24 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5097) | ( _u5098 = c_Groups_Ozero__class_Ozero(_u5097)) | ( _u5099 != _u5098) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5097), _u5099), _u5098) = c_Groups_Oone__class_Oone(_u5097)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5100) | ( _u5101 = c_Groups_Ozero__class_Ozero(_u5100)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5100), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5100), _u5102), _u5101)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5100), _u5102), hAPP(c_Groups_Ouminus__class_Ouminus(_u5100), _u5101))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u5103) | ( _u5104 = c_Groups_Ozero__class_Ozero(_u5103)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5103), hAPP(c_Groups_Ouminus__class_Ouminus(_u5103), _u5105)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5103), _u5104)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5103), _u5105), _u5104)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u5106) | ( _u5107 = c_Groups_Ozero__class_Ozero(_u5106)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5106), _u5108), _u5107)), _u5109) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5106), hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), _u5108), _u5109)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), _u5107), _u5109))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u5110) | ( _u5111 = c_Groups_Ozero__class_Ozero(_u5110)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5110), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5110), _u5112), _u5111)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5110), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5112)), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5111))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5113) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5113), c_Groups_Oone__class_Oone(_u5113)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), _u5115)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5113), c_Groups_Oone__class_Oone(_u5113)), _u5114)), _u5115)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5116) | ~c_Nat__Transfer_Ois__nat(_u5117) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5116, _u5117)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5118), _u5119), c_Groups_Ozero__class_Ozero(_u5118))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5118), _u5120), c_Groups_Ozero__class_Ozero(_u5118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5118), c_Groups_Ozero__class_Ozero(_u5118)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5118), _u5119), _u5120))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5121), _u5122), c_Groups_Ozero__class_Ozero(_u5121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5121), c_Groups_Ozero__class_Ozero(_u5121)), _u5123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5121), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5121), _u5122), _u5123)), c_Groups_Ozero__class_Ozero(_u5121))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5124) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), c_Groups_Ozero__class_Ozero(_u5124)), _u5125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), _u5125), _u5126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5124), c_Groups_Ozero__class_Ozero(_u5124)), _u5127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), _u5127), _u5128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5124), _u5125), _u5128)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5124), _u5126), _u5127))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5129), c_Groups_Ozero__class_Ozero(_u5129)), _u5130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5129), _u5130), _u5131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5129), c_Groups_Ozero__class_Ozero(_u5129)), _u5132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5129), _u5132), _u5133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5129), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5129), _u5130), _u5133)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5129), _u5131), _u5132))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u5134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), c_Groups_Ozero__class_Ozero(_u5134)), _u5135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), _u5135), _u5136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), c_Groups_Ozero__class_Ozero(_u5134)), _u5137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), _u5137), _u5138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5134), _u5135), _u5138)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5134), _u5136), _u5137))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5139) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), _u5140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), _u5141), c_Groups_Ozero__class_Ozero(_u5139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5139), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5139), _u5140), _u5141)), c_Groups_Ozero__class_Ozero(_u5139))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), _u5143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), _u5144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5142), _u5143), _u5144))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), _u5146), _u5147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), _u5148), c_Groups_Ozero__class_Ozero(_u5145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), c_Groups_Ozero__class_Ozero(_u5145)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), _u5146), _u5147))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5145), _u5148), _u5146)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5145), _u5148), _u5147))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), _u5150), _u5151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), c_Groups_Ozero__class_Ozero(_u5149)), _u5152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), c_Groups_Ozero__class_Ozero(_u5149)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5149), _u5151), _u5150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5149), _u5152), _u5151)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5149), _u5152), _u5150))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), _u5154), c_Groups_Ozero__class_Ozero(_u5153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5153), _u5155), _u5154)), _u5156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5153), _u5156), _u5154)), _u5155)) )).
% 13.05/13.24 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), _u5154), c_Groups_Ozero__class_Ozero(_u5153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5153), _u5156), _u5154)), _u5155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5153), _u5155), _u5154)), _u5156)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5158), c_Groups_Ozero__class_Ozero(_u5157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5159), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5157), _u5160), _u5158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5157), _u5159), _u5158))) )).
% 13.05/13.24 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5158), c_Groups_Ozero__class_Ozero(_u5157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5157), _u5159), _u5158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5159), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5157), _u5160), _u5158))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5161), c_Groups_Ozero__class_Ozero(_u5161)), _u5162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5161), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5161), _u5163), _u5162)), _u5164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5161), _u5163), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5161), _u5164), _u5162))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5165), c_Groups_Ozero__class_Ozero(_u5165)), _u5166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5165), _u5167), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5165), _u5168), _u5166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5165), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5165), _u5167), _u5166)), _u5168)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), _u5170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5169), _u5171), _u5170)), _u5172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), _u5171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5169), _u5172), _u5170))) )).
% 13.05/13.24 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), _u5170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), _u5171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5169), _u5172), _u5170))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5169), _u5171), _u5170)), _u5172)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5175), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5173), _u5176), _u5174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5173), _u5175), _u5174)), _u5176)) )).
% 13.05/13.24 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5173), _u5175), _u5174)), _u5176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5175), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5173), _u5176), _u5174))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) )).
% 13.05/13.24 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) )).
% 13.05/13.24 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.05/13.24 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.05/13.24 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) )).
% 13.05/13.24 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.05/13.24 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) )).
% 13.05/13.24 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.05/13.24 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) )).
% 13.05/13.24 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) )).
% 13.05/13.24 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) )).
% 13.05/13.24 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.05/13.24 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.05/13.24 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.05/13.24 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.05/13.24 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) )).
% 13.05/13.24 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.05/13.24 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.05/13.24 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5186) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5186)) )).
% 13.05/13.24 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)), _u5187)) | c_Nat__Transfer_Ois__nat(_u5187) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5188) | ( _u5189 = c_Groups_Ozero__class_Ozero(_u5188)) | ( _u5190 = c_Groups_Ozero__class_Ozero(_u5188)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5188), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5188), _u5191), _u5189)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5188), _u5192), _u5190)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), _u5191), _u5190)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), _u5192), _u5189))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), _u5189), _u5190))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5193) | ( _u5194 = c_Groups_Ozero__class_Ozero(_u5193)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5193), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5193), _u5195), _u5194)), _u5196) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5193), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5193), _u5195), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5193), _u5194), _u5196))), _u5194)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5197) | ( _u5198 = c_Groups_Ozero__class_Ozero(_u5197)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5197), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), _u5199), _u5198)), _u5200) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5197), _u5199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5197), _u5200), _u5198))), _u5198)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5201) | ( _u5202 = c_Groups_Ozero__class_Ozero(_u5201)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5201), _u5203), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), _u5204), _u5202)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5201), _u5202), _u5203)), _u5204)), _u5202)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5205) | ( _u5206 = c_Groups_Ozero__class_Ozero(_u5205)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), _u5207), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5205), _u5208), _u5206)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), _u5208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5205), _u5207), _u5206))), _u5206)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5209) | ( _u5210 = c_Groups_Ozero__class_Ozero(_u5209)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5209), _u5211), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5209), _u5212), _u5210)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5209), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5209), _u5210), _u5211)), _u5212)), _u5210)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5213) | ( _u5214 = c_Groups_Ozero__class_Ozero(_u5213)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5213), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5213), _u5215), _u5214)), _u5216) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5213), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5213), _u5215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5213), _u5214), _u5216))), _u5214)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5217) | ( _u5218 = c_Groups_Ozero__class_Ozero(_u5217)) | ( _u5219 = c_Groups_Ozero__class_Ozero(_u5217)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5217), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5217), _u5220), _u5218)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5217), _u5221), _u5219)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5217), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5217), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5217), _u5220), _u5219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5217), _u5221), _u5218))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5217), _u5218), _u5219))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) = c_Groups_Ozero__class_Ozero(_u5222)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5222), _u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225)) = _u5224) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) != c_Groups_Ozero__class_Ozero(_u5222)) | ( _u5223 = c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) != c_Groups_Ozero__class_Ozero(_u5222)) | ( _u5223 != c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5222), _u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225)) != _u5224) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) = c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5222), _u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225)) != _u5224) | ( _u5223 != c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( _u5229 = c_Groups_Ozero__class_Ozero(_u5226)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227)), _u5229) = _u5228) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( _u5229 != c_Groups_Ozero__class_Ozero(_u5226)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( _u5229 != c_Groups_Ozero__class_Ozero(_u5226)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227)), _u5229) != _u5228) | ( _u5229 = c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.05/13.24 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227)), _u5229) != _u5228) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) != hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5232 = c_Groups_Ozero__class_Ozero(_u5230)) | ( _u5231 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5230), hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)), _u5232)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) != hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5232 != c_Groups_Ozero__class_Ozero(_u5230)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233) = c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) = hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5232 != c_Groups_Ozero__class_Ozero(_u5230)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233) != c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) = hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5231 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5230), hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)), _u5232)) | ( _u5232 = c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) = hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5231 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5230), hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)), _u5232)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233) != c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) != _u5237) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) = c_Groups_Ozero__class_Ozero(_u5234)) | ( _u5235 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5234), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236))) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) != _u5237) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) != c_Groups_Ozero__class_Ozero(_u5234)) | ( _u5237 = c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) = _u5237) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) != c_Groups_Ozero__class_Ozero(_u5234)) | ( _u5237 != c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) = _u5237) | ( _u5235 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5234), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) = c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.05/13.24 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) = _u5237) | ( _u5235 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5234), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236))) | ( _u5237 != c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5238), _u5239), _u5240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5238), _u5239), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5238), _u5239), _u5240)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5238), c_Groups_Oone__class_Oone(_u5238)), c_Groups_Oone__class_Oone(_u5238))))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5241), _u5242), _u5243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5241), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5241), _u5242), _u5243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5241), c_Groups_Oone__class_Oone(_u5241)), c_Groups_Oone__class_Oone(_u5241)))), _u5243)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5244) | ~class_Int_Onumber__ring(_u5244) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5244), _u5245), hAPP(c_Int_Onumber__class_Onumber__of(_u5244), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5244)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5246), c_Groups_Ozero__class_Ozero(_u5246)), _u5247)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5246), hAPP(c_Groups_Oabs__class_Oabs(_u5246), _u5248)), _u5247) = hAPP(c_Groups_Oabs__class_Oabs(_u5246), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5246), _u5248), _u5247))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u5249) | ~class_Int_Onumber__ring(_u5249) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5249), _u5250), hAPP(c_Int_Onumber__class_Onumber__of(_u5249), c_Int_OBit1(c_Int_OPls))) = _u5250) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u5251) | ~class_Int_Onumber__ring(_u5251) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5252), hAPP(c_Int_Onumber__class_Onumber__of(_u5251), c_Int_OBit1(c_Int_OPls))) = _u5252) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5253) | ~class_Int_Onumber__ring(_u5253) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5253), _u5254), hAPP(c_Int_Onumber__class_Onumber__of(_u5253), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5254)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.24 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)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) )).
% 13.05/13.24 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) )).
% 13.05/13.24 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.05/13.24 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.05/13.24 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.05/13.24 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.05/13.24 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) )).
% 13.05/13.24 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.05/13.24 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.05/13.24 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) )).
% 13.05/13.24 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) )).
% 13.05/13.24 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.05/13.24 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.05/13.24 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) )).
% 13.05/13.24 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.05/13.24 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) )).
% 13.05/13.24 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.05/13.24 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) )).
% 13.05/13.24 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), c_Groups_Ozero__class_Ozero(_u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), _u5265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5266), _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5263), _u5265), _u5264)), _u5266)) )).
% 13.05/13.24 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), c_Groups_Ozero__class_Ozero(_u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5263), _u5265), _u5264)), _u5266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), _u5265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5266), _u5264))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), c_Groups_Ozero__class_Ozero(_u5267)), _u5268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5269), _u5268)), _u5270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), _u5269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5267), _u5270), _u5268))) )).
% 13.05/13.24 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), c_Groups_Ozero__class_Ozero(_u5267)), _u5268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), _u5269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5267), _u5270), _u5268))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5269), _u5268)), _u5270)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), c_Groups_Ozero__class_Ozero(_u5271)), _u5272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5271), _u5273), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5271), _u5274), _u5272))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5271), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), _u5273), _u5272)), _u5274)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5275), c_Groups_Ozero__class_Ozero(_u5275)), _u5276)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5277), _u5276)), _u5278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5275), _u5277), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5278), _u5276))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5281), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5282), _u5280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5279), _u5281), _u5280))) )).
% 13.05/13.24 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5279), _u5281), _u5280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5281), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5282), _u5280))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5283), _u5284), c_Groups_Ozero__class_Ozero(_u5283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5283), _u5285), _u5284)), _u5286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5283), _u5286), _u5284)), _u5285)) )).
% 13.05/13.24 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5283), _u5284), c_Groups_Ozero__class_Ozero(_u5283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5283), _u5286), _u5284)), _u5285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5283), _u5285), _u5284)), _u5286)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5287), _u5288), _u5289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5287), c_Groups_Ozero__class_Ozero(_u5287)), _u5290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5287), c_Groups_Ozero__class_Ozero(_u5287)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5287), _u5289), _u5288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5287), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5287), _u5290), _u5289)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5287), _u5290), _u5288))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5291), _u5292), _u5293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5291), _u5294), c_Groups_Ozero__class_Ozero(_u5291))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5291), c_Groups_Ozero__class_Ozero(_u5291)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5291), _u5292), _u5293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5291), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5294), _u5292)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5294), _u5293))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.05/13.24 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) )).
% 13.05/13.24 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u5311) | ( _u5312 = c_Groups_Ozero__class_Ozero(_u5311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5313), _u5314)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5311), _u5312), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5314), _u5313)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5311), hAPP(hAPP(c_Power_Opower__class_Opower(_u5311), _u5312), _u5314)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5311), _u5312), _u5313))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5315) | ~class_Int_Onumber__ring(_u5315) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), hAPP(c_Int_Onumber__class_Onumber__of(_u5315), c_Int_OMin)), _u5316) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), c_Groups_Oone__class_Oone(_u5315)), _u5316))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 13.05/13.24 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)))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.05/13.24 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.05/13.24
% 13.05/13.24 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.05/13.24 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) )).
% 13.05/13.25 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u5335 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5335, _u5337) = _u5337) )).
% 13.05/13.25 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u5336 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5336, _u5338) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5336), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5338))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 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)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 13.05/13.25 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)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5339, _u5340, _u5341, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5340) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u5344, _u5346) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5344), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 13.05/13.25 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u5344, _u5346) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5346), _u5344)) )).
% 13.05/13.25 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5345), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5347), _u5345)) | ( c_Random_Olog(_u5345, _u5347) = 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(_u5345, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5347), _u5345)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5348))) | ~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), _u5348)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5348)) = 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), _u5348)))) )).
% 13.05/13.25 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), _u5348))) | 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), _u5348)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5348)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5348)), 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), _u5348))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5349), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5350)) | ( c_Divides_OnegDivAlg(_u5349, _u5350) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5349), _u5350)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5349, _u5350))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5351) = 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), _u5351), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u5354, _u5356) = 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), _u5354), _u5356))) | ~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), _u5354), _u5356))) )).
% 13.05/13.25 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u5354, _u5356) = 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), _u5354), _u5356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5356), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25 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), _u5355), _u5357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5357), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5355, _u5357) = hAPP(c_Divides_Oadjust(_u5357), c_Divides_OnegDivAlg(_u5355, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5357)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5358))) | ~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), _u5359)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5359), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)) = 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), _u5359)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)))) )).
% 13.05/13.25 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), _u5358))) | 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), _u5359)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5359), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5359), hAPP(hAPP(c_Groups_Otimes__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), _u5358))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5360)) | ~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), _u5361), _u5360))) | ( c_Divides_OnegDivAlg(_u5361, _u5360) = 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), _u5361), _u5360))) )).
% 13.05/13.25 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)), _u5360)) | 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), _u5361), _u5360))) | ( c_Divides_OnegDivAlg(_u5361, _u5360) = hAPP(c_Divides_Oadjust(_u5360), c_Divides_OnegDivAlg(_u5361, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5360)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5365), _u5367)) | ( c_Random_Ominus__shift(_u5369, _u5365, _u5367) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5369), _u5365)), _u5367)) )).
% 13.05/13.25 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5366), _u5368)) | ( c_Random_Ominus__shift(_u5370, _u5366, _u5368) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5366), _u5368)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inc__shift__def-1, axiom, ( ( _u5373 != _u5375) | ( c_Random_Oinc__shift(_u5373, _u5375) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 13.05/13.25 cnf(fact_inc__shift__def-2, axiom, ( ( _u5374 = _u5376) | ( c_Random_Oinc__shift(_u5374, _u5376) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5376), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5377))) | ~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), _u5377))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5377)) = 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))) )).
% 13.05/13.25 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), _u5377))) | 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), _u5377))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5377)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5377)), 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), _u5377))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u5380, _u5382) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5380), _u5382)) )).
% 13.05/13.25 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u5380, _u5382) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5382), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5381), _u5383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5383), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5381, _u5383) = hAPP(c_Divides_Oadjust(_u5383), c_Divides_OposDivAlg(_u5381, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5383)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5384))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384)) = 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), _u5385))) )).
% 13.05/13.25 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), _u5384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385), hAPP(hAPP(c_Groups_Otimes__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), _u5384))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5387), _u5386)) | ( c_Divides_OposDivAlg(_u5387, _u5386) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5387)) )).
% 13.05/13.25 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)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5387), _u5386)) | ( c_Divides_OposDivAlg(_u5387, _u5386) = hAPP(c_Divides_Oadjust(_u5386), c_Divides_OposDivAlg(_u5387, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5386)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5388) = 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))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5390)) | ( c_Divides_OposDivAlg(_u5389, _u5390) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5389), _u5390)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5389, _u5390))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5391), _u5392))) | ( c_Divides_OnegDivAlg(_u5391, _u5392) = 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), _u5391), _u5392))) | ~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), _u5391), _u5392))) )).
% 13.05/13.25 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), _u5391), _u5392))) | ( c_Divides_OnegDivAlg(_u5391, _u5392) = 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), _u5391), _u5392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5392), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25 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), _u5391), _u5392))) | 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), _u5391), _u5392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5392), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5391, _u5392) = hAPP(c_Divides_Oadjust(_u5392), c_Divides_OnegDivAlg(_u5391, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5392)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u5395 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u5397, _u5395) = 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), _u5397))) )).
% 13.05/13.25 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u5396 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u5398, _u5396) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5398), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5396))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u5399, _u5400) = 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), _u5399)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5400))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5399), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5400)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5401, _u5402), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5403), _u5404))) | ( _u5402 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5405)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5402), _u5405)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5403), _u5405)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5402), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5403, _u5405))), _u5404)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5406), _u5407))) | ( c_Divides_OposDivAlg(_u5406, _u5407) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5406), _u5407)) )).
% 13.05/13.25 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), _u5406), _u5407))) | ( c_Divides_OposDivAlg(_u5406, _u5407) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5407), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25 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), _u5406), _u5407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5406), _u5407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5407), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5406, _u5407) = hAPP(c_Divides_Oadjust(_u5407), c_Divides_OposDivAlg(_u5406, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5407)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5408, _u5409), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5410), _u5411))) | ( _u5409 = 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), _u5412), _u5408), _u5409), 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), _u5412), _u5410)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5412), _u5411)), _u5409))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5412), _u5411), _u5409)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5418, _u5420), _u5422)) | ~hBOOL(hAPP(hAPP(_u5420, _u5413), _u5422)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5418, _u5420), _u5413)) )).
% 13.05/13.25 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5419, _u5421), _u5423)) | hBOOL(hAPP(hAPP(_u5421, skolem85(_u5423, _u5421, _u5419)), _u5423)) )).
% 13.05/13.25 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5419, _u5421), _u5423)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5419, _u5421), skolem85(_u5423, _u5421, _u5419))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5429, _u5431), _u5433)) | ~hBOOL(hAPP(hAPP(_u5431, _u5424), _u5433)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5429, _u5431), _u5424)) )).
% 13.05/13.25 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5430, _u5432), _u5434)) | hBOOL(hAPP(hAPP(_u5432, skolem86(_u5434, _u5432, _u5430)), _u5434)) )).
% 13.05/13.25 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5430, _u5432), _u5434)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5430, _u5432), skolem86(_u5434, _u5432, _u5430))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5435, _u5436), _u5437)) | ~hBOOL(hAPP(hAPP(_u5436, _u5438), _u5437)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5435, _u5436), _u5438)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5439, tc_fun(_u5439, tc_HOL_Obool))), _u5440), _u5441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5439, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u5439, _u5441)), c_Wellfounded_Oaccp(_u5439, _u5440))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u5442 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5442), 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)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5443, _u5443), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5444), _u5445))) | ( _u5443 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5445 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5446, _u5447), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5448), _u5449))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5446, _u5447), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5450), _u5451))) | ( _u5447 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5448 = _u5450) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5452, _u5453), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5454), _u5455))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5452, _u5453), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5456), _u5457))) | ( _u5453 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5455 = _u5457) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5458, _u5458), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5459), _u5460))) | ( _u5458 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5459 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5461, _u5462), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5463), _u5464))) | ( _u5462 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5461, _u5462) = _u5464) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5465, _u5466), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5467), _u5468))) | ( _u5466 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5465), _u5466) = _u5467) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5470)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5469, _u5470), c_Divides_OnegDivAlg(_u5469, _u5470))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u5471 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5472, _u5471), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5472), _u5471)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5472, _u5471)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5474)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5473, _u5474), c_Divides_OposDivAlg(_u5473, _u5474))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5475, _u5476), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5477), _u5478))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5479, _u5476), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5480), _u5481))) | ( _u5476 = 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), _u5475), _u5479), _u5476), 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), _u5477), _u5480)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5478), _u5481)), _u5476))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5478), _u5481), _u5476)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5482, _u5483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5484), _u5485))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5482), _u5483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u5485), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5484)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5484)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u5485), 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), _u5483), _u5485))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__relI-1, axiom, ( ( _u5486 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5487), _u5488)), _u5489)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5486, _u5487), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5488), _u5489))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5487), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5489), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25 cnf(fact_divmod__int__relI-2, axiom, ( ( _u5486 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5487), _u5488)), _u5489)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5486, _u5487), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5488), _u5489))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5489), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5487)) )).
% 13.05/13.25 cnf(fact_divmod__int__relI-3, axiom, ( ( _u5486 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5487), _u5488)), _u5489)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5486, _u5487), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5488), _u5489))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5489), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5487), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5489), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5492), _u5493))) | hBOOL(hAPP(hAPP(_u5494, _u5492), _u5493)) | 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), skolem87(_u5494, _u5493, _u5492)), skolem88(_u5494, _u5493, _u5492)))) )).
% 13.05/13.25 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), _u5492), _u5493))) | hBOOL(hAPP(hAPP(_u5494, _u5492), _u5493)) | 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), skolem87(_u5494, _u5493, _u5492)), skolem88(_u5494, _u5493, _u5492)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem88(_u5494, _u5493, _u5492)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5494, skolem87(_u5494, _u5493, _u5492)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem88(_u5494, _u5493, _u5492)))) )).
% 13.05/13.25 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), _u5492), _u5493))) | hBOOL(hAPP(hAPP(_u5494, _u5492), _u5493)) | ~hBOOL(hAPP(hAPP(_u5494, skolem87(_u5494, _u5493, _u5492)), skolem88(_u5494, _u5493, _u5492))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5497), _u5498))) | hBOOL(hAPP(hAPP(_u5499, _u5497), _u5498)) | 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), skolem89(_u5499, _u5498, _u5497)), skolem90(_u5499, _u5498, _u5497)))) )).
% 13.05/13.25 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), _u5497), _u5498))) | hBOOL(hAPP(hAPP(_u5499, _u5497), _u5498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem89(_u5499, _u5498, _u5497)), skolem90(_u5499, _u5498, _u5497))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem90(_u5499, _u5498, _u5497)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5499, skolem89(_u5499, _u5498, _u5497)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem90(_u5499, _u5498, _u5497)))) )).
% 13.05/13.25 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), _u5497), _u5498))) | hBOOL(hAPP(hAPP(_u5499, _u5497), _u5498)) | ~hBOOL(hAPP(hAPP(_u5499, skolem89(_u5499, _u5498, _u5497)), skolem90(_u5499, _u5498, _u5497))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 13.05/13.25 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(_u5500)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5500)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5501)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5501)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5506)) | ( c_Divides_Odivmod__int(_u5504, _u5506) = c_Divides_OposDivAlg(_u5504, _u5506)) )).
% 13.05/13.25 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)), _u5504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5506)) | ( _u5504 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5504, _u5506) = 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))) )).
% 13.05/13.25 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)), _u5504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5506)) | ( _u5504 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5504, _u5506) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5504), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5506)))) )).
% 13.05/13.25 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)), _u5505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5507)) | ( c_Divides_Odivmod__int(_u5505, _u5507) = c_Divides_OnegDivAlg(_u5505, _u5507)) )).
% 13.05/13.25 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)), _u5505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5507)) | ( c_Divides_Odivmod__int(_u5505, _u5507) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5505), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5507)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5508))) | ( 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), _u5508)) = 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), _u5508)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5511) != c_Code__Numeral_OSuc__code__numeral(_u5513)) | ( _u5511 = _u5513) )).
% 13.05/13.25 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u5512 != _u5514) | ( c_Code__Numeral_OSuc__code__numeral(_u5512) = c_Code__Numeral_OSuc__code__numeral(_u5514)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5515, _u5516) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u5515, _u5516))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5517) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 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(_u5518)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5519)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5520), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5519, _u5520) = 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), _u5519), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5520))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5521, _u5522, _u5523, c_Code__Numeral_OSuc__code__numeral(_u5524)) = hAPP(_u5523, _u5524)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5525), _u5526)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5525), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5526))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5527), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5528), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5527, _u5528) = 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), _u5527), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5528))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5529), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5530)), _u5531)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5529, _u5530), hAPP(c_Divides_OnegateSnd, _u5531))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 13.05/13.25 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(_u5532)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5532) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5533), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5534)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5533, _u5534) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u5533, _u5534))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__correct-1, axiom, ( ( _u5535 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5536, _u5535), c_Divides_Odivmod__int(_u5536, _u5535))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5537)), 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), _u5537)) = 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), _u5537)))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5539)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5538, _u5539) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u5538, _u5539))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u5540, _u5541) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5540), _u5541)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5540, _u5541))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5542, tc_HOL_Obool)), _u5543), _u5544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5542, tc_HOL_Obool)), _u5544), _u5543)) | ( _u5543 = _u5544) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5545)), 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), _u5545)) = 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), _u5545)))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5547), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5546), _u5547) = 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), _u5546), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5547))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_snd__eqD-1, axiom, ( ( _u5551 = _u5552) | ( hAPP(c_Product__Type_Osnd(_u5548, _u5549), hAPP(hAPP(c_Product__Type_OPair(_u5548, _u5549), _u5550), _u5551)) != _u5552) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u5553, _u5554), hAPP(hAPP(c_Product__Type_OPair(_u5553, _u5554), _u5555), _u5556)) = _u5556) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5558), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5557), _u5558) = 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), _u5557), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5558))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u5563 != _u5565) | ( hAPP(c_Product__Type_Ofst(_u5567, _u5569), _u5563) = hAPP(c_Product__Type_Ofst(_u5567, _u5569), _u5565)) )).
% 13.05/13.25 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u5563 != _u5565) | ( hAPP(c_Product__Type_Osnd(_u5567, _u5569), _u5563) = hAPP(c_Product__Type_Osnd(_u5567, _u5569), _u5565)) )).
% 13.05/13.25 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u5568, _u5570), _u5564) != hAPP(c_Product__Type_Ofst(_u5568, _u5570), _u5566)) | ( hAPP(c_Product__Type_Osnd(_u5568, _u5570), _u5564) != hAPP(c_Product__Type_Osnd(_u5568, _u5570), _u5566)) | ( _u5564 = _u5566) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u5571, _u5572), _u5573) != hAPP(c_Product__Type_Ofst(_u5571, _u5572), _u5574)) | ( hAPP(c_Product__Type_Osnd(_u5571, _u5572), _u5573) != hAPP(c_Product__Type_Osnd(_u5571, _u5572), _u5574)) | ( _u5573 = _u5574) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u5575, _u5576), hAPP(hAPP(c_Product__Type_OPair(_u5575, _u5576), _u5577), _u5578)) = _u5577) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fst__eqD-1, axiom, ( ( _u5581 = _u5583) | ( hAPP(c_Product__Type_Ofst(_u5579, _u5580), hAPP(hAPP(c_Product__Type_OPair(_u5579, _u5580), _u5581), _u5582)) != _u5583) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_surjective__pairing-1, axiom, ( ( _u5584 = hAPP(hAPP(c_Product__Type_OPair(_u5585, _u5586), hAPP(c_Product__Type_Ofst(_u5585, _u5586), _u5584)), hAPP(c_Product__Type_Osnd(_u5585, _u5586), _u5584))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5587, _u5588), hAPP(c_Product__Type_Ofst(_u5587, _u5588), _u5589)), hAPP(c_Product__Type_Osnd(_u5587, _u5588), _u5589)) = _u5589) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5590), _u5591) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u5590, _u5591))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5594), _u5595) != hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5596), _u5597)) | ( _u5594 = _u5596) )).
% 13.05/13.25 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5594), _u5595) != hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5596), _u5597)) | ( _u5595 = _u5597) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5608), _u5610) != hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5612), _u5614)) | ( _u5608 = _u5612) )).
% 13.05/13.25 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5608), _u5610) != hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5612), _u5614)) | ( _u5610 = _u5614) )).
% 13.05/13.25 cnf(fact_Pair__eq-3, axiom, ( ( _u5609 != _u5613) | ( _u5611 != _u5615) | ( hAPP(hAPP(c_Product__Type_OPair(_u5605, _u5607), _u5609), _u5611) = hAPP(hAPP(c_Product__Type_OPair(_u5605, _u5607), _u5613), _u5615)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u5625, skolem91(_u5629, _u5627, _u5625))) | hBOOL(hAPP(_u5625, hAPP(hAPP(c_Product__Type_OPair(_u5627, _u5629), _u5618), _u5617))) )).
% 13.05/13.25 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u5626, hAPP(hAPP(c_Product__Type_OPair(_u5628, _u5630), skolem92(_u5630, _u5628, _u5626)), skolem93(_u5630, _u5628, _u5626)))) | hBOOL(hAPP(_u5626, _u5621)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5634, tc_HOL_Obool)), _u5636), _u5638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5634, tc_HOL_Obool)), _u5636), _u5638)) )).
% 13.05/13.25 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5634, tc_HOL_Obool)), _u5636), _u5638)) | ( _u5636 != _u5638) )).
% 13.05/13.25 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5635, tc_HOL_Obool)), _u5637), _u5639)) | ( _u5637 = _u5639) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5635, tc_HOL_Obool)), _u5637), _u5639)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5643, tc_HOL_Obool)), _u5645), _u5647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5643, tc_HOL_Obool)), _u5645), _u5647)) | ( _u5645 = _u5647) )).
% 13.05/13.25 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5644, tc_HOL_Obool)), _u5646), _u5648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5644, tc_HOL_Obool)), _u5646), _u5648)) )).
% 13.05/13.25 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5644, tc_HOL_Obool)), _u5646), _u5648)) | ( _u5646 != _u5648) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5649, tc_HOL_Obool)), _u5650), _u5651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5649, tc_HOL_Obool)), _u5650), _u5651)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5652, tc_HOL_Obool)), _u5653), _u5654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5652, tc_HOL_Obool)), _u5654), _u5655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5652, tc_HOL_Obool)), _u5653), _u5655)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5656, tc_HOL_Obool)), _u5657), _u5658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5656, tc_HOL_Obool)), _u5658), _u5659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5656, tc_HOL_Obool)), _u5657), _u5659)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5660, tc_HOL_Obool)), _u5661), _u5661)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_set__eq__subset-1, axiom, ( ( _u5665 != _u5667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5669, tc_HOL_Obool)), _u5665), _u5667)) )).
% 13.05/13.25 cnf(fact_set__eq__subset-2, axiom, ( ( _u5665 != _u5667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5669, tc_HOL_Obool)), _u5667), _u5665)) )).
% 13.05/13.25 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5670, tc_HOL_Obool)), _u5666), _u5668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5670, tc_HOL_Obool)), _u5668), _u5666)) | ( _u5666 = _u5668) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_equalityD1-1, axiom, ( ( _u5671 != _u5672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5673, tc_HOL_Obool)), _u5671), _u5672)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_equalityD2-1, axiom, ( ( _u5674 != _u5675) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5676, tc_HOL_Obool)), _u5675), _u5674)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5677, tc_HOL_Obool)), _u5678), _u5679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5677, tc_HOL_Obool)), _u5679), _u5680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5677, tc_HOL_Obool)), _u5678), _u5680)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_equalityE-1, axiom, ( ( _u5681 != _u5682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5683, tc_HOL_Obool)), _u5681), _u5682)) )).
% 13.05/13.25 cnf(fact_equalityE-2, axiom, ( ( _u5681 != _u5682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5683, tc_HOL_Obool)), _u5682), _u5681)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5687, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5687, tc_HOL_Obool)), _u5689)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5687, tc_HOL_Obool)), _u5691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5687, tc_HOL_Obool)), _u5691), _u5689)) )).
% 13.05/13.25 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5688, tc_HOL_Obool)), _u5692), _u5690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5688, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5688, tc_HOL_Obool)), _u5690)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5688, tc_HOL_Obool)), _u5692))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5693, tc_HOL_Obool)), _u5694), _u5695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5693, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5693, tc_HOL_Obool)), _u5695)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5693, tc_HOL_Obool)), _u5694))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5696, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5696, tc_HOL_Obool)), _u5697), _u5698)), _u5697)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5699, tc_HOL_Obool)), _u5700), _u5701)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5699, tc_HOL_Obool)), _u5702), _u5703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5699, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5699, tc_HOL_Obool)), _u5700), _u5703)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5699, tc_HOL_Obool)), _u5701), _u5702))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5704, tc_HOL_Obool)), _u5705), _u5706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5704, tc_HOL_Obool)), _u5706), _u5707)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5704, tc_HOL_Obool)), _u5706), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5704, tc_HOL_Obool)), _u5707), _u5705)) = _u5705) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5708), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5709)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5708), _u5709) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u5708, _u5709))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5711)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5710), _u5711) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u5710, _u5711))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5712))) | ( 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), _u5712)) = 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), _u5712)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u5713, _u5714, _u5715, _u5716, _u5717) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u5715, hAPP(c_Product__Type_Ofst(_u5713, _u5714), _u5717))), hAPP(_u5716, hAPP(c_Product__Type_Osnd(_u5713, _u5714), _u5717)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u5718, _u5719) = 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), _u5718), _u5719)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5718, _u5719))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5720), _u5721)) | ( c_Divides_Odivmod__nat(_u5721, _u5720) = 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), _u5721), _u5720)), _u5720))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5721), _u5720), _u5720))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u5722, _u5723)) | ~hBOOL(hAPP(_u5724, _u5725)) | hBOOL(hAPP(_u5722, hAPP(c_Product__Type_Ofst(_u5726, _u5727), hAPP(hAPP(c_Product__Type_OPair(_u5726, _u5727), _u5723), _u5725)))) )).
% 13.05/13.25 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u5722, _u5723)) | ~hBOOL(hAPP(_u5724, _u5725)) | hBOOL(hAPP(_u5724, hAPP(c_Product__Type_Osnd(_u5726, _u5727), hAPP(hAPP(c_Product__Type_OPair(_u5726, _u5727), _u5723), _u5725)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5728, _u5729), _u5730)) | hBOOL(hAPP(hAPP(_u5728, hAPP(c_Product__Type_Osnd(_u5731, _u5732), hAPP(hAPP(c_Product__Type_OPair(_u5731, _u5732), _u5730), _u5729))), hAPP(c_Product__Type_Ofst(_u5731, _u5732), hAPP(hAPP(c_Product__Type_OPair(_u5731, _u5732), _u5730), _u5729)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5733), _u5734) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u5733, _u5734))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5735, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5735, tc_HOL_Obool)), _u5736)) = _u5736) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u5742 = _u5744) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5740, tc_HOL_Obool)), _u5742) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5740, tc_HOL_Obool)), _u5744)) )).
% 13.05/13.25 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u5743 != _u5745) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5741, tc_HOL_Obool)), _u5743) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5741, tc_HOL_Obool)), _u5745)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5746, tc_HOL_Obool)), _u5747), _u5748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5746, tc_HOL_Obool)), _u5748), _u5749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5746, tc_HOL_Obool)), _u5747), _u5749)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5750, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5750, tc_HOL_Obool)), _u5751), _u5752)), _u5752) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5750, tc_HOL_Obool)), _u5751), _u5752)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u5753, 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)), _u5753)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5754, _u5755) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u5754, _u5755))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5756), _u5757)) | ( c_Divides_Odivmod__nat(_u5756, _u5757) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5756)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u5758, _u5759) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5758), _u5759)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5758, _u5759))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5760, _u5761), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5762), _u5763))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5764)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5760, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5761), _u5764)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5762), _u5764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5761), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5762, _u5764))), _u5763)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5765, _u5766), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5767), _u5768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5766)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), _u5765), _u5766), 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), _u5769), _u5767)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), _u5768)), _u5766))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), _u5768), _u5766)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5770, _u5771), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5772), _u5773))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5774, _u5771), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5775), _u5776))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5771)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5770), _u5774), _u5771), 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), _u5772), _u5775)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5773), _u5776)), _u5771))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5773), _u5776), _u5771)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_range ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u5777)) | 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(_u5777), _u5778))), _u5777)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5782 = 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), _u5786)), _u5784)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786))) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5786) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | 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), _u5786))) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786)), _u5784)) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5784), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786))) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( _u5785 = 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)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( _u5785 = 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5785)) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( _u5785 = 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5785 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != 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)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5785)) )).
% 13.05/13.25 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5788, _u5789), _u5790)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5788, _u5789), _u5791)) | ( _u5790 = _u5791) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5792, _u5793), c_Divides_Odivmod__nat(_u5792, _u5793))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5794, _u5795), _u5796)) | ( c_Divides_Odivmod__nat(_u5794, _u5795) = _u5796) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5797, _u5798), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5799), _u5800))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5797, _u5798) = _u5800) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5801, _u5802), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5803), _u5804))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5801), _u5802) = _u5803) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5805, _u5806), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5805), _u5806)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5805, _u5806)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u5807, _u5808, _u5809, _u5810, hAPP(hAPP(c_Product__Type_OPair(_u5807, _u5808), _u5811), _u5812)) = hAPP(hAPP(_u5810, _u5811), _u5812)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u5813), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5814), _u5815)) = 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), _u5815), _u5813)), 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)))), _u5814)), 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)))), _u5814)), _u5815)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_iterate_Osimps-1, axiom, ( ( _u5821 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u5823, _u5825, _u5821, _u5827), _u5829) = hAPP(c_Product__Type_OPair(_u5823, _u5825), _u5829)) )).
% 13.05/13.25 cnf(fact_iterate_Osimps-2, axiom, ( ( _u5822 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u5824, _u5826, _u5822, _u5828), _u5830) = hAPP(hAPP(c_Product__Type_Oscomp(_u5826, _u5824, _u5826, tc_prod(_u5824, _u5826)), hAPP(_u5828, _u5830)), c_Random_Oiterate(_u5824, _u5826, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5822), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u5828))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5831), _u5832) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5831), _u5832)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u5833, _u5834, _u5835, _u5836), _u5837), _u5838), _u5839) = hAPP(hAPP(_u5838, hAPP(c_Product__Type_Ofst(_u5834, _u5835), hAPP(_u5837, _u5839))), hAPP(c_Product__Type_Osnd(_u5834, _u5835), hAPP(_u5837, _u5839)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u5840, _u5841, _u5842, _u5843), hAPP(hAPP(c_Product__Type_Oscomp(_u5840, _u5844, _u5845, tc_prod(_u5841, _u5842)), _u5846), _u5847)), _u5848) = hAPP(hAPP(c_Product__Type_Oscomp(_u5840, _u5844, _u5845, _u5843), _u5846), hAPP(hAPP(c_COMBC(_u5844, tc_fun(_u5841, tc_fun(_u5842, _u5843)), tc_fun(_u5845, _u5843)), hAPP(hAPP(c_COMBB(tc_fun(_u5845, tc_prod(_u5841, _u5842)), tc_fun(tc_fun(_u5841, tc_fun(_u5842, _u5843)), tc_fun(_u5845, _u5843)), _u5844), c_Product__Type_Oscomp(_u5845, _u5841, _u5842, _u5843)), _u5847)), _u5848))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u5849) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5850, _u5849)), _u5851), _u5852) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5849), hAPP(_u5851, _u5852))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u5853) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5854, _u5853)), _u5855), _u5856), _u5857) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5853), hAPP(_u5855, _u5857)), hAPP(_u5856, _u5857))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5858) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5858))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5859)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5859)), 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)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u5860, _u5861, _u5862, tc_prod(_u5861, _u5862)), _u5863), c_Product__Type_OPair(_u5861, _u5862)) = _u5863) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u5864) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5864), _u5865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5866))) = hAPP(hAPP(c_HOL_OLet(_u5864, _u5864), hAPP(hAPP(c_Power_Opower__class_Opower(_u5864), _u5865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5866))), hAPP(hAPP(c_COMBS(_u5864, _u5864, _u5864), c_Groups_Otimes__class_Otimes(_u5864)), c_COMBI(_u5864)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5867), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5868))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5867), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5868))), 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)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u5869, _u5870, _u5869, _u5871), hAPP(c_Product__Type_OPair(_u5870, _u5869), _u5872)), _u5873) = hAPP(_u5873, _u5872)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5874) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5874), hAPP(c_Int_Onumber__class_Onumber__of(_u5874), _u5875)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5876))) = hAPP(hAPP(c_HOL_OLet(_u5874, _u5874), hAPP(hAPP(c_Power_Opower__class_Opower(_u5874), hAPP(c_Int_Onumber__class_Onumber__of(_u5874), _u5875)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5876))), hAPP(hAPP(c_COMBS(_u5874, _u5874, _u5874), c_Groups_Otimes__class_Otimes(_u5874)), c_COMBI(_u5874)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5881)), hAPP(c_Int_Onat, _u5879)) = hAPP(c_Int_Onat, _u5881)) )).
% 13.05/13.25 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5880)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5882)), hAPP(c_Int_Onat, _u5880)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5882), _u5880)), 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))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u5883) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5883), _u5884) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5883, hAPP(hAPP(c_COMBC(_u5883, _u5883, _u5883), c_Groups_Oplus__class_Oplus(_u5883)), c_Groups_Oone__class_Oone(_u5883)), _u5884, c_Groups_Ozero__class_Ozero(_u5883))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5887) != hAPP(c_Nat_OSuc, _u5889)) | 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(_u5887))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5889))))) )).
% 13.05/13.25 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(_u5888))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5890))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5888) = hAPP(c_Nat_OSuc, _u5890)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5893) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5895)) | 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(_u5895))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5893))))) )).
% 13.05/13.25 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(_u5896))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5894))))) | ( hAPP(c_Nat_OSuc, _u5894) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5896)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5898))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5898)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5899))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5899)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5899)), 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))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5902)), hAPP(c_Nat_OSuc, _u5904))) | 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(_u5902))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5904)))) )).
% 13.05/13.25 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(_u5903))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5905)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5903)), hAPP(c_Nat_OSuc, _u5905))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5908)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5910))) | 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(_u5910))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5908)), c_Int_Onat))))) )).
% 13.05/13.25 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(_u5911))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5909)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5909)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5911))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5914)), hAPP(c_Nat_OSuc, _u5916))) | 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(_u5914))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5916)))) )).
% 13.05/13.25 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(_u5915))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5917)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5915)), hAPP(c_Nat_OSuc, _u5917))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5922))) | 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(_u5922))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5920)), c_Int_Onat))))) )).
% 13.05/13.25 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(_u5923))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5921)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5921)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5923))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u5924) | ~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), _u5925))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5925))) = hAPP(hAPP(c_HOL_OLet(_u5924, _u5924), hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5925))), hAPP(hAPP(c_COMBS(_u5924, _u5924, _u5924), hAPP(hAPP(c_COMBB(_u5924, tc_fun(_u5924, _u5924), _u5924), c_Groups_Otimes__class_Otimes(_u5924)), hAPP(c_Groups_Otimes__class_Otimes(_u5924), _u5926))), c_COMBI(_u5924)))) )).
% 13.05/13.25 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u5924) | 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), _u5925))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5925))) = c_Groups_Oone__class_Oone(_u5924)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 13.05/13.25 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), _u5929))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5931), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5929))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5931), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5929))), 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), _u5931))), c_COMBI(tc_Int_Oint)))) )).
% 13.05/13.25 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), _u5930))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5932), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5930))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5933) | ~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), _u5934))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5934))) = hAPP(hAPP(c_HOL_OLet(_u5933, _u5933), hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5934))), hAPP(hAPP(c_COMBS(_u5933, _u5933, _u5933), hAPP(hAPP(c_COMBB(_u5933, tc_fun(_u5933, _u5933), _u5933), c_Groups_Otimes__class_Otimes(_u5933)), hAPP(c_Groups_Otimes__class_Otimes(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)))), c_COMBI(_u5933)))) )).
% 13.05/13.25 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5933) | 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), _u5934))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5934))) = c_Groups_Oone__class_Oone(_u5933)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5938), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5940)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5938)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5940)) )).
% 13.05/13.25 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5939), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5941)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5939)) = 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), _u5941), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5939)))), 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))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u5942) | ( _u5943 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5942), _u5943) = c_Groups_Ozero__class_Ozero(_u5942)) )).
% 13.05/13.25 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u5942) | ( _u5943 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5942), _u5943) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5942), hAPP(c_Int_Oring__1__class_Oof__int(_u5942), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5943)))) )).
% 13.05/13.25 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u5942) | ( _u5943 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5942), _u5943) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5942), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5942, _u5942)), tc_fun(tc_Int_Oint, _u5942)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5942, _u5942), _u5942), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5942, _u5942)), tc_fun(tc_Int_Oint, _u5942)), tc_Int_Oint), c_COMBB(tc_fun(_u5942, _u5942), _u5942, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5942, tc_fun(tc_fun(_u5942, _u5942), _u5942), tc_Int_Oint), c_HOL_OLet(_u5942, _u5942)), c_Int_Oring__1__class_Oof__int(_u5942)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5942, _u5942), tc_fun(_u5942, _u5942)), hAPP(hAPP(c_COMBB(tc_fun(_u5942, tc_fun(_u5942, _u5942)), tc_fun(tc_fun(_u5942, _u5942), tc_fun(_u5942, _u5942)), tc_Int_Oint), c_COMBS(_u5942, _u5942, _u5942)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5942, _u5942), tc_fun(_u5942, tc_fun(_u5942, _u5942))), hAPP(hAPP(c_COMBB(tc_fun(_u5942, tc_fun(_u5942, _u5942)), tc_fun(tc_fun(_u5942, _u5942), tc_fun(_u5942, tc_fun(_u5942, _u5942))), tc_Int_Oint), c_COMBB(_u5942, tc_fun(_u5942, _u5942), _u5942)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5942, tc_fun(_u5942, _u5942)), tc_Int_Oint), c_If(_u5942)), 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(_u5942, _u5942, _u5942), c_Groups_Oplus__class_Oplus(_u5942)), c_COMBI(_u5942))))), hAPP(hAPP(c_COMBC(_u5942, _u5942, _u5942), hAPP(hAPP(c_COMBB(_u5942, tc_fun(_u5942, _u5942), _u5942), c_Groups_Oplus__class_Oplus(_u5942)), hAPP(hAPP(c_COMBS(_u5942, _u5942, _u5942), c_Groups_Oplus__class_Oplus(_u5942)), c_COMBI(_u5942)))), c_Groups_Oone__class_Oone(_u5942))))), c_Divides_Odivmod__int(_u5943, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5944, _u5945, _u5946, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5947)), _u5948)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5944), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5947))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5944, _u5944), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5944, tc_fun(_u5944, _u5944)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5944, tc_fun(_u5944, _u5944)), tc_Int_Oint), c_If(_u5944)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5944, _u5945, _u5946, _u5948))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5944, tc_Int_Oint), _u5946), 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)), _u5948))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u5949) = 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)), _u5949))))), 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)), _u5949))))), 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)))))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5950, _u5951, _u5952, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5953)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5953))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5950, _u5950), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5950, tc_fun(_u5950, _u5950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5950, tc_fun(_u5950, _u5950)), tc_Int_Oint), c_If(_u5950)), c_Nat__Numeral_Oneg)), _u5951)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5950, tc_Int_Oint), _u5952), c_Int_Onat)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5954, _u5955, _u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5957)), _u5958)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5957))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5954, _u5954), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5954, tc_fun(_u5954, _u5954)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5954, tc_fun(_u5954, _u5954)), tc_Int_Oint), c_If(_u5954)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5954, _u5955, _u5956), _u5958))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5954, _u5954), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5954, _u5954), tc_Int_Oint), _u5956), 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)), _u5958))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5954, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5954, _u5955, _u5956)), 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)), _u5958)))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5959, _u5960, _u5961), _u5962), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5963, _u5964, tc_prod(_u5959, _u5960)), _u5965), _u5966)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5963, _u5964, _u5961), hAPP(hAPP(c_COMBB(tc_fun(_u5964, tc_prod(_u5959, _u5960)), tc_fun(_u5964, _u5961), _u5963), hAPP(c_COMBB(tc_prod(_u5959, _u5960), _u5961, _u5964), hAPP(c_Product__Type_Oprod_Oprod__case(_u5959, _u5960, _u5961), _u5962))), _u5965)), _u5966)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__weak__cong-1, axiom, ( ( _u5967 != _u5968) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5969, _u5970, _u5971), _u5972), _u5967) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5969, _u5970, _u5971), _u5972), _u5968)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5973, _u5974, _u5975), _u5976), hAPP(hAPP(c_Product__Type_OPair(_u5973, _u5974), _u5977), _u5978)) = hAPP(hAPP(_u5976, _u5977), _u5978)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5979, _u5980, _u5981), _u5982), hAPP(hAPP(c_Product__Type_OPair(_u5979, _u5980), _u5983), _u5984)) = hAPP(hAPP(_u5982, _u5983), _u5984)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u5985, _u5986, _u5987, _u5988), _u5989), _u5990), _u5991) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5986, _u5987, _u5988), _u5990), hAPP(_u5989, _u5991))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u5992, _u5993, _u5994), hAPP(hAPP(c_COMBB(tc_fun(_u5993, tc_prod(_u5992, _u5993)), tc_fun(_u5993, _u5994), _u5992), hAPP(c_COMBB(tc_prod(_u5992, _u5993), _u5994, _u5993), _u5995)), c_Product__Type_OPair(_u5992, _u5993))) = _u5995) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u5996, _u5997), _u5998) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5996, _u5997, _u5996), c_COMBK(_u5996, _u5997)), _u5998)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u5999, _u6000), _u6001) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5999, _u6000, _u6000), hAPP(c_COMBK(tc_fun(_u6000, _u6000), _u5999), c_COMBI(_u6000))), _u6001)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6002, _u6003, _u6004, _u6005), _u6006), _u6007), _u6008) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6003, _u6004, _u6005), _u6007), hAPP(_u6006, _u6008))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u6009, _u6010, _u6011), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6010) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u6012, _u6013, _u6014), hAPP(c_Nat_OSuc, _u6015)) = hAPP(hAPP(_u6014, _u6015), hAPP(c_Nat_Onat_Onat__rec(_u6012, _u6013, _u6014), _u6015))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u6016, _u6017, _u6018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6017) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u6019, _u6020, _u6021, hAPP(c_Nat_OSuc, _u6022)) = hAPP(_u6021, _u6022)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6023, _u6024, _u6025), _u6026), _u6027) = hAPP(hAPP(_u6026, hAPP(c_Product__Type_Ofst(_u6023, _u6024), _u6027)), hAPP(c_Product__Type_Osnd(_u6023, _u6024), _u6027))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6028, _u6029, _u6030), _u6031), _u6032) = hAPP(hAPP(_u6031, hAPP(c_Product__Type_Ofst(_u6028, _u6029), _u6032)), hAPP(c_Product__Type_Osnd(_u6028, _u6029), _u6032))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6033, _u6034), _u6034, _u6035), hAPP(hAPP(c_COMBB(_u6036, tc_fun(_u6034, _u6035), tc_prod(_u6033, _u6034)), _u6037), hAPP(hAPP(c_COMBB(_u6033, _u6036, tc_prod(_u6033, _u6034)), _u6038), c_Product__Type_Ofst(_u6033, _u6034)))), c_Product__Type_Osnd(_u6033, _u6034)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6033, _u6034, _u6035), hAPP(hAPP(c_COMBB(_u6036, tc_fun(_u6034, _u6035), _u6033), _u6037), _u6038))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6039, _u6040, _u6041), _u6042), _u6043) = hAPP(hAPP(_u6042, hAPP(c_Product__Type_Ofst(_u6039, _u6040), _u6043)), hAPP(c_Product__Type_Osnd(_u6039, _u6040), _u6043))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 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, _u6046)), _u6048)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6046), _u6048)) )).
% 13.05/13.25 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), _u6047), _u6049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6047)), _u6049)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6050), hAPP(c_Nat_OSuc, _u6051)) = 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), _u6050), _u6051))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u6052, _u6053) = 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, _u6052))), 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), _u6053)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6053))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6053))))), 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)), _u6053)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u6053))), 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)))))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u6054, _u6055, _u6056), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6057)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6054), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6057))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u6054, _u6054), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u6054, tc_fun(_u6054, _u6054)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6054, tc_fun(_u6054, _u6054)), tc_Int_Oint), c_If(_u6054)), c_Nat__Numeral_Oneg)), _u6055)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u6054, _u6054), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u6054, _u6054), tc_Int_Oint), _u6056), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u6054, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u6054, _u6055, _u6056)), c_Int_Onat))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u6060 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6060, _u6062) = 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))) )).
% 13.05/13.25 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u6061 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6063 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6061, _u6063) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6061)) )).
% 13.05/13.25 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u6061 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6063 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6061, _u6063) = 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, _u6063))), 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)), _u6063)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6061))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6063), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6061), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u6061, _u6063)), 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), _u6063))))), c_Divides_Opdivmod(_u6061, _u6063))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__int__code-1, axiom, ( ( _u6066 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6066, _u6068) = 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))) )).
% 13.05/13.25 cnf(fact_divmod__int__code-2, axiom, ( ( _u6067 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6069 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6067, _u6069) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6067)) )).
% 13.05/13.25 cnf(fact_divmod__int__code-3, axiom, ( ( _u6067 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6069 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6067, _u6069) = 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, _u6069))), 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, _u6067)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6069))), c_Divides_Opdivmod(_u6067, _u6069)), 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), _u6069))))), c_Divides_Opdivmod(_u6067, _u6069))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_MGT__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_MGT__def-1, axiom, ( ( c_Hoare__Mirabelle_OMGT(_u6070) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u6070), c_Natural_Oevalc(_u6070))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6071)), hAPP(c_Nat_OSuc, _u6072)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6071))), 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)), _u6072))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6073)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6074)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6074))), 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), _u6073)), c_Int_Onat))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6075, _u6076), _u6077)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6078, _u6079, tc_HOL_Obool), _u6075), hAPP(hAPP(c_Product__Type_OPair(_u6078, _u6079), _u6076), _u6077))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_splitI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6080, _u6081), _u6082)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6083, _u6084, tc_HOL_Obool), _u6080), hAPP(hAPP(c_Product__Type_OPair(_u6083, _u6084), _u6081), _u6082))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_splitD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u6087, _u6088), _u6089)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6085, _u6086, tc_HOL_Obool), _u6087), hAPP(hAPP(c_Product__Type_OPair(_u6085, _u6086), _u6088), _u6089))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6090), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6091) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6092)), hAPP(c_Nat_OSuc, _u6093)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6092), _u6093))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6094) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6094), _u6095), _u6096)), _u6097) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), _u6095), _u6097)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), _u6096), _u6097))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u6098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6098), _u6100), _u6101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), _u6100)) )).
% 13.05/13.25 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u6098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6098), _u6100), _u6101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), _u6101)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6102) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6102), _u6103), _u6104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6102), _u6105), _u6106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6102), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6102), _u6103), _u6105)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6102), _u6104), _u6106))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u6107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6107), _u6108), _u6109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6107), _u6108), _u6110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6107), _u6108), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6107), _u6109), _u6110))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u6111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6111), _u6112), _u6113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6111), _u6112), _u6114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6111), _u6112), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6111), _u6113), _u6114))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6115), _u6116), _u6117)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6115), _u6117), _u6116) = _u6116) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6118), _u6119), _u6120)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6118), _u6119), _u6120) = _u6119) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6121), _u6122), _u6123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6121), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6121), _u6124), _u6122)), _u6123)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6125), _u6126), _u6127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6125), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6125), _u6126), _u6128)), _u6127)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6129), _u6131), _u6132))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6131)) )).
% 13.05/13.25 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6129), _u6131), _u6132))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6132)) )).
% 13.05/13.25 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6129), _u6131), _u6132))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u6133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6133), _u6134), _u6135)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6133), _u6134), _u6135) = _u6134) )).
% 13.05/13.25 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u6133) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6133), _u6134), _u6135) != _u6134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6133), _u6134), _u6135)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u6136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6136), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6136), _u6137), _u6138)), _u6138)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u6139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6139), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6139), _u6140), _u6141)), _u6140)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6142), _u6143), _u6144)), _u6145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6143), _u6145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6144), _u6145)) )).
% 13.05/13.25 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6142), _u6143), _u6144)), _u6145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6143), _u6145)) )).
% 13.05/13.25 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6142), _u6143), _u6144)), _u6145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6144), _u6145)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6146) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), _u6147), _u6148)), _u6149) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), _u6147), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), _u6148), _u6149))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6150) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), _u6151), _u6152)), _u6153) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), _u6151), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), _u6152), _u6153))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6154) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6155), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6156), _u6157)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6156), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6155), _u6157))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6158) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6159), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6160), _u6161)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6160), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6159), _u6161))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6162) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6162), _u6163), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6162), _u6163), _u6164)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6162), _u6163), _u6164)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6165) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6165), _u6166), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6165), _u6166), _u6167)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6165), _u6166), _u6167)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6168) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6168), _u6169), _u6170) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6168), _u6170), _u6169)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6171) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6171), _u6172), _u6173) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6171), _u6173), _u6172)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6174) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6174), _u6175), _u6175) = _u6175) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6176) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6176), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6176), _u6177), _u6178)), _u6179) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6176), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6176), _u6177), _u6179)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6176), _u6178), _u6179))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6180), _u6181), _u6182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6180), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6180), _u6181), _u6183)), _u6182)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6184), _u6185), _u6186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6184), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6184), _u6187), _u6185)), _u6186)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6188), _u6189), _u6190)), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6189), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6190), _u6191)) )).
% 13.05/13.25 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6188), _u6189), _u6190)), _u6191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6189), _u6191)) )).
% 13.05/13.25 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6188), _u6189), _u6190)), _u6191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6190), _u6191)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6194)) )).
% 13.05/13.25 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6195)) )).
% 13.05/13.25 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6195))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6196), _u6197)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6198), _u6197)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6196), _u6198)), _u6197)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u6202, _u6203), _u6204), _u6205)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6199, _u6200, tc_fun(_u6201, tc_HOL_Obool)), _u6202), hAPP(hAPP(c_Product__Type_OPair(_u6199, _u6200), _u6203), _u6204)), _u6205)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6206, _u6207, _u6208, _u6209), hAPP(hAPP(c_Product__Type_OPair(_u6208, _u6206), _u6210), _u6211)) = hAPP(hAPP(c_Product__Type_OPair(_u6208, _u6207), _u6210), hAPP(_u6209, _u6211))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6212, _u6213), hAPP(c_Product__Type_Oapsnd(_u6214, _u6213, _u6212, _u6215), _u6216)) = hAPP(c_Product__Type_Ofst(_u6212, _u6214), _u6216)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6223, _u6225, _u6227, _u6229), _u6231) != hAPP(c_Product__Type_Oapsnd(_u6223, _u6225, _u6227, _u6233), _u6231)) | ( hAPP(_u6229, hAPP(c_Product__Type_Osnd(_u6227, _u6223), _u6231)) = hAPP(_u6233, hAPP(c_Product__Type_Osnd(_u6227, _u6223), _u6231))) )).
% 13.05/13.25 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u6230, hAPP(c_Product__Type_Osnd(_u6228, _u6224), _u6232)) != hAPP(_u6234, hAPP(c_Product__Type_Osnd(_u6228, _u6224), _u6232))) | ( hAPP(c_Product__Type_Oapsnd(_u6224, _u6226, _u6228, _u6230), _u6232) = hAPP(c_Product__Type_Oapsnd(_u6224, _u6226, _u6228, _u6234), _u6232)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6235, _u6236), hAPP(c_Product__Type_Oapsnd(_u6237, _u6236, _u6235, _u6238), _u6239)) = hAPP(_u6238, hAPP(c_Product__Type_Osnd(_u6235, _u6237), _u6239))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u6240) | ~class_Orderings_Oord(_u6240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)) )).
% 13.05/13.25 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u6240) | ~class_Orderings_Oord(_u6240) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6243)), _u6244) = 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), _u6243)), _u6244)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6245), hAPP(c_Nat_OSuc, _u6246)) = 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)), _u6246)), _u6245)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 13.05/13.25 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))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u6251, _u6249) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6251)) | ( _u6249 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u6251, _u6249) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6251), _u6249)) )).
% 13.05/13.25 cnf(fact_divmod__nat__if-3, axiom, ( ( _u6250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6252), _u6250)) | ( c_Divides_Odivmod__nat(_u6252, _u6250) = 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), _u6252), _u6250), _u6250))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u6253) | ( c_Orderings_Oord__class_Omin(_u6253) = c_Orderings_Oord_Omin(_u6253, c_Orderings_Oord__class_Oless__eq(_u6253))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6254)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6255)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6255))), 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, _u6254))), 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), _u6254)), c_Int_Onat))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6256)), hAPP(c_Nat_OSuc, _u6257)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6256))), 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, _u6257))), 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)), _u6257))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6258, _u6259, _u6260, _u6261), hAPP(c_Product__Type_Oapsnd(_u6262, _u6260, _u6258, _u6263), _u6264)) = hAPP(hAPP(c_Product__Type_OPair(_u6259, _u6260), hAPP(_u6261, hAPP(c_Product__Type_Ofst(_u6258, _u6262), _u6264))), hAPP(_u6263, hAPP(c_Product__Type_Osnd(_u6258, _u6262), _u6264)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6265, _u6266, _u6267, _u6268), hAPP(c_Product__Type_Oapfst(_u6269, _u6267, _u6265, _u6270), _u6271)) = hAPP(hAPP(c_Product__Type_OPair(_u6267, _u6266), hAPP(_u6270, hAPP(c_Product__Type_Ofst(_u6269, _u6265), _u6271))), hAPP(_u6268, hAPP(c_Product__Type_Osnd(_u6269, _u6265), _u6271)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), _u6273), _u6274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), _u6273), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6272), _u6274), _u6275))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6276), _u6277), _u6278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6276), _u6277), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6276), _u6279), _u6278))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6280), _u6281), _u6282)), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6281), _u6283)) )).
% 13.05/13.25 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6280), _u6281), _u6282)), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6282), _u6283)) )).
% 13.05/13.25 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6281), _u6283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6282), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6280), _u6281), _u6282)), _u6283)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6284), _u6286), _u6287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6287)) )).
% 13.05/13.25 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6284), _u6286), _u6287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6286)) )).
% 13.05/13.25 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6284), _u6286), _u6287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6287)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6288) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6288), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6288), _u6289), _u6290)), _u6291) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6288), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6288), _u6289), _u6291)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6288), _u6290), _u6291))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6292) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6292), _u6293), _u6293) = _u6293) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6294) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6294), _u6295), _u6296) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6294), _u6296), _u6295)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6297) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6297), _u6298), _u6299) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6297), _u6299), _u6298)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6300) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6300), _u6301), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6300), _u6301), _u6302)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6300), _u6301), _u6302)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6303) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6303), _u6304), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6303), _u6304), _u6305)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6303), _u6304), _u6305)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6306) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6307), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6308), _u6309)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6308), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6307), _u6309))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6310) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6311), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6312), _u6313)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6312), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6311), _u6313))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6314) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), _u6315), _u6316)), _u6317) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), _u6315), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), _u6316), _u6317))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6318) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), _u6319), _u6320)), _u6321) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), _u6319), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), _u6320), _u6321))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6322), _u6324), _u6325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6325)) )).
% 13.05/13.25 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6322), _u6324), _u6325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6324)) )).
% 13.05/13.25 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6322), _u6324), _u6325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6325)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u6326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6326), _u6327), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6326), _u6327), _u6328))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u6329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), _u6330), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6329), _u6331), _u6330))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u6332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6332), _u6333), _u6334)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6332), _u6333), _u6334) = _u6334) )).
% 13.05/13.25 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u6332) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6332), _u6333), _u6334) != _u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6332), _u6333), _u6334)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6335), _u6336), _u6337)), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6336), _u6338)) )).
% 13.05/13.25 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6335), _u6336), _u6337)), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6337), _u6338)) )).
% 13.05/13.25 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6336), _u6338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6337), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6335), _u6336), _u6337)), _u6338)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6339), _u6340), _u6341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6339), _u6340), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6339), _u6341), _u6342))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6343), _u6344), _u6345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6343), _u6344), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6343), _u6346), _u6345))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6347), _u6348), _u6349)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6347), _u6348), _u6349) = _u6349) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6350), _u6351), _u6352)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6350), _u6352), _u6351) = _u6352) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u6353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6353), _u6354), _u6355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6353), _u6356), _u6355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6353), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6353), _u6354), _u6356)), _u6355)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6357), _u6358), _u6359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6357), _u6360), _u6359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6357), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6357), _u6358), _u6360)), _u6359)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6361), _u6362), _u6363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6361), _u6364), _u6365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6361), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6361), _u6362), _u6364)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6361), _u6363), _u6365))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u6366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6366), _u6367), _u6368)), _u6369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), _u6367), _u6369)) )).
% 13.05/13.25 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u6366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6366), _u6367), _u6368)), _u6369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), _u6368), _u6369)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6370) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6370), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6370), _u6371), _u6372)), _u6373) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6370), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6370), _u6371), _u6373)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6370), _u6372), _u6373))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6374)), hAPP(c_Nat_OSuc, _u6375)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6374), _u6375))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6376) = _u6376) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6377), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6377) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6378) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6378), _u6379), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6378), _u6379), _u6380)) = _u6379) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6381) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6381), _u6382), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6381), _u6382), _u6383)) = _u6382) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6384) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6384), _u6385), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6384), _u6386), _u6387)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6384), _u6385), _u6386)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6384), _u6385), _u6387))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6388) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6388), _u6389), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6388), _u6390), _u6391)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6388), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6388), _u6389), _u6390)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6388), _u6389), _u6391))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6392) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6392), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6392), _u6393), _u6394)), _u6395) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6392), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6392), _u6393), _u6395)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6392), _u6394), _u6395))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6396) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6396), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6396), _u6397), _u6398)), _u6399) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6396), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6396), _u6397), _u6399)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6396), _u6398), _u6399))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6400, _u6401, _u6402, _u6403), hAPP(hAPP(c_Product__Type_OPair(_u6400, _u6402), _u6404), _u6405)) = hAPP(hAPP(c_Product__Type_OPair(_u6401, _u6402), hAPP(_u6403, _u6404)), _u6405)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6412, _u6414, _u6416, _u6418), _u6420) != hAPP(c_Product__Type_Oapfst(_u6412, _u6414, _u6416, _u6422), _u6420)) | ( hAPP(_u6418, hAPP(c_Product__Type_Ofst(_u6412, _u6416), _u6420)) = hAPP(_u6422, hAPP(c_Product__Type_Ofst(_u6412, _u6416), _u6420))) )).
% 13.05/13.25 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u6419, hAPP(c_Product__Type_Ofst(_u6413, _u6417), _u6421)) != hAPP(_u6423, hAPP(c_Product__Type_Ofst(_u6413, _u6417), _u6421))) | ( hAPP(c_Product__Type_Oapfst(_u6413, _u6415, _u6417, _u6419), _u6421) = hAPP(c_Product__Type_Oapfst(_u6413, _u6415, _u6417, _u6423), _u6421)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6424, _u6425), hAPP(c_Product__Type_Oapfst(_u6426, _u6424, _u6425, _u6427), _u6428)) = hAPP(_u6427, hAPP(c_Product__Type_Ofst(_u6426, _u6425), _u6428))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6429, _u6430), hAPP(c_Product__Type_Oapfst(_u6431, _u6429, _u6430, _u6432), _u6433)) = hAPP(c_Product__Type_Osnd(_u6431, _u6430), _u6433)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u6434) | ~class_Orderings_Oord(_u6434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436)) )).
% 13.05/13.25 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u6434) | ~class_Orderings_Oord(_u6434) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u6437) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6437), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6437), _u6438), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6437), _u6439), _u6440))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6437), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6437), _u6438), _u6439)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6437), _u6438), _u6440)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u6441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6441), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6441), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6441), _u6442), _u6443)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6441), _u6442), _u6444))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6441), _u6442), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6441), _u6443), _u6444)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6445) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6445), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6445), _u6446), _u6447)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6445), hAPP(c_Groups_Ouminus__class_Ouminus(_u6445), _u6446)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6445), _u6447))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6448) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6448), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6448), _u6449), _u6450)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6448), hAPP(c_Groups_Ouminus__class_Ouminus(_u6448), _u6449)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6448), _u6450))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6451), _u6452)), _u6452) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6451), _u6452)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6453, _u6454, _u6455, _u6456), hAPP(c_Product__Type_Oapfst(_u6457, _u6455, _u6453, _u6458), _u6459)) = hAPP(c_Product__Type_Oapfst(_u6457, _u6455, _u6454, _u6458), hAPP(c_Product__Type_Oapsnd(_u6453, _u6454, _u6457, _u6456), _u6459))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6460)), _u6461) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6460), 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), _u6460)), _u6461)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6462), hAPP(c_Nat_OSuc, _u6463)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6463), 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)), _u6463)), _u6462)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u6464) | ( c_Orderings_Oord_Omin(_u6464, hAPP(c_COMBC(_u6464, _u6464, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6464))) = c_Orderings_Oord__class_Omax(_u6464)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u6465) | ( c_Orderings_Oord__class_Omax(_u6465) = c_Orderings_Oord_Omax(_u6465, c_Orderings_Oord__class_Oless__eq(_u6465))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 13.05/13.25 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))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6468), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6470, _u6468) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6470), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6468))) )).
% 13.05/13.25 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6471, _u6469) = 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))) | ( _u6471 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.25 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6471, _u6469) = 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))) | ( _u6469 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.25 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6471 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6469 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u6471, _u6469) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u6471), _u6469)), 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), _u6471))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6469)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6472), _u6473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6472), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6473))) )).
% 13.05/13.25 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), _u6472), _u6473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = 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))) | ( _u6472 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.25 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), _u6472), _u6473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = 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))) | ( _u6473 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.25 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), _u6472), _u6473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6472 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6473 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u6472), _u6473)), 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), _u6472))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6473)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6474) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6474), _u6475), _u6475) = _u6475) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6476) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6476), _u6477), _u6477) = _u6477) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u6478) | ( c_Orderings_Oord_Omax(_u6478, hAPP(c_COMBC(_u6478, _u6478, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6478))) = c_Orderings_Oord__class_Omin(_u6478)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u6479), _u6480) = 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), _u6479)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6480))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6483), _u6484))) | hBOOL(hAPP(hAPP(_u6485, _u6483), _u6484)) | 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), skolem94(_u6485, _u6484, _u6483)), skolem95(_u6485, _u6484, _u6483)))) )).
% 13.05/13.25 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), _u6483), _u6484))) | hBOOL(hAPP(hAPP(_u6485, _u6483), _u6484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem95(_u6485, _u6484, _u6483)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6485, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem94(_u6485, _u6484, _u6483))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem95(_u6485, _u6484, _u6483)))) )).
% 13.05/13.25 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), _u6483), _u6484))) | hBOOL(hAPP(hAPP(_u6485, _u6483), _u6484)) | ~hBOOL(hAPP(hAPP(_u6485, skolem94(_u6485, _u6484, _u6483)), skolem95(_u6485, _u6484, _u6483))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u6486, _u6487) = 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), _u6486)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6487))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u6488) = c_Nitpick_OAbs__Frac(_u6488, 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)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u6491 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6493, _u6491) = _u6493) )).
% 13.05/13.25 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u6492 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6494, _u6492) = c_Nitpick_Onat__gcd(_u6492, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6494, _u6492))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u6495, _u6496) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6495), _u6496)), c_Nitpick_Onat__gcd(_u6495, _u6496))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u6497) = c_Nitpick_OAbs__Frac(_u6497, 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)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u6498, _u6499) = c_Nitpick_OAbs__Frac(_u6498, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6499), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6500), _u6501))) | ( _u6501 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6500, _u6501) = _u6500) )).
% 13.05/13.25 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), _u6500), _u6501))) | ( _u6501 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6500, _u6501) = c_Nitpick_Onat__gcd(_u6501, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6500, _u6501))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u6502), _u6503), _u6504) = c_Nitpick_OAbs__Frac(_u6502, c_Nitpick_Onorm__frac(_u6503, _u6504))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u6505, _u6506, _u6507) = c_Product__Type_Oprod_Oprod__case(_u6505, _u6506, _u6507)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u6508, _u6509, _u6510), _u6511), hAPP(hAPP(c_Product__Type_OPair(_u6508, _u6509), _u6512), _u6513)) = hAPP(hAPP(_u6511, _u6512), _u6513)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6516), _u6517))) | hBOOL(hAPP(hAPP(_u6518, _u6516), _u6517)) | 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), skolem96(_u6518, _u6517, _u6516)), skolem97(_u6518, _u6517, _u6516)))) )).
% 13.05/13.25 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), _u6516), _u6517))) | hBOOL(hAPP(hAPP(_u6518, _u6516), _u6517)) | ( skolem97(_u6518, _u6517, _u6516) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6518, skolem97(_u6518, _u6517, _u6516)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem96(_u6518, _u6517, _u6516), skolem97(_u6518, _u6517, _u6516)))) )).
% 13.05/13.25 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), _u6516), _u6517))) | hBOOL(hAPP(hAPP(_u6518, _u6516), _u6517)) | ~hBOOL(hAPP(hAPP(_u6518, skolem96(_u6518, _u6517, _u6516)), skolem97(_u6518, _u6517, _u6516))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u6519, _u6520, _u6521) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6519), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u6519), _u6520), hAPP(c_Nitpick_Odenom(_u6519), _u6521))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u6519), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u6519), tc_Int_Oint), c_Nitpick_Ofrac(_u6519)), 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(_u6519), _u6520))), 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(_u6519), _u6520))))), 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(_u6519), _u6521))), 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(_u6519), _u6521)))))), c_COMBI(tc_Int_Oint)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 13.05/13.25 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)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u6522, _u6523, _u6524, _u6525, c_Nitpick_Opair__box_OPairBox(_u6522, _u6523, _u6526, _u6527)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6524, _u6526)), hAPP(_u6525, _u6527))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6528, _u6529), _u6530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6531, tc_fun(_u6532, tc_HOL_Obool))), _u6528), _u6533)) | hBOOL(hAPP(hAPP(_u6533, _u6529), _u6530)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6544, _u6546) != c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6548, _u6550)) | ( _u6544 = _u6548) )).
% 13.05/13.25 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6544, _u6546) != c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6548, _u6550)) | ( _u6546 = _u6550) )).
% 13.05/13.25 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u6545 != _u6549) | ( _u6547 != _u6551) | ( c_Nitpick_Opair__box_OPairBox(_u6541, _u6543, _u6545, _u6547) = c_Nitpick_Opair__box_OPairBox(_u6541, _u6543, _u6549, _u6551)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u6552, _u6553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6554, tc_HOL_Obool)), _u6552), _u6555)) | hBOOL(hAPP(_u6555, _u6553)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u6557, _u6559)) | hBOOL(hAPP(_u6558, _u6559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6556, tc_HOL_Obool)), _u6557), _u6558)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6562, _u6564), _u6565)) | hBOOL(hAPP(hAPP(_u6563, _u6564), _u6565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6560, tc_fun(_u6561, tc_HOL_Obool))), _u6562), _u6563)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u6566, _u6567, _u6568) = hAPP(hAPP(c_Nitpick_Ofrac(_u6566), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6566), _u6567)), hAPP(c_Nitpick_Onum(_u6566), _u6568))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u6566), _u6567)), hAPP(c_Nitpick_Odenom(_u6566), _u6568)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u6569) | ~class_Rings_Oring__1(_u6569) | ( c_Nitpick_Oof__frac(_u6570, _u6569, _u6571) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6569), hAPP(c_Int_Oring__1__class_Oof__int(_u6569), hAPP(c_Nitpick_Onum(_u6570), _u6571))), hAPP(c_Int_Oring__1__class_Oof__int(_u6569), hAPP(c_Nitpick_Odenom(_u6570), _u6571)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u6572, _u6573) = hAPP(hAPP(c_Nitpick_Ofrac(_u6572), hAPP(c_Nitpick_Odenom(_u6572), _u6573)), hAPP(c_Nitpick_Onum(_u6572), _u6573))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u6574, _u6575) = c_Nitpick_OAbs__Frac(_u6574, 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(_u6574), _u6575))), hAPP(c_Nitpick_Odenom(_u6574), _u6575)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u6579, _u6581, _u6583) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6579), c_Nitpick_Oplus__frac(_u6579, _u6581, c_Nitpick_Ouminus__frac(_u6579, _u6583)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6580), c_Nitpick_Oplus__frac(_u6580, _u6582, c_Nitpick_Ouminus__frac(_u6580, _u6584)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u6580, _u6582, _u6584) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u6588, _u6590, _u6592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6588), c_Nitpick_Oplus__frac(_u6588, _u6590, c_Nitpick_Ouminus__frac(_u6588, _u6592)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.05/13.25 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(_u6589), c_Nitpick_Oplus__frac(_u6589, _u6591, c_Nitpick_Ouminus__frac(_u6589, _u6593)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u6589, _u6591, _u6593) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u6594, _u6595)), c_Nitpick_Opair__box_OPairBox(_u6594, _u6595, _u6596, _u6597)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u6598, _u6599, _u6600, _u6601, c_Nitpick_Opair__box_OPairBox(_u6598, _u6599, _u6602, _u6603)) = hAPP(hAPP(_u6601, _u6602), _u6603)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u6604, _u6605, _u6606, _u6607, c_Nitpick_Opair__box_OPairBox(_u6604, _u6605, _u6608, _u6609)) = hAPP(hAPP(_u6607, _u6608), _u6609)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_The__split ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u6610, _u6611), hAPP(c_Product__Type_Oprod_Oprod__case(_u6610, _u6611, tc_HOL_Obool), _u6612)) = c_HOL_OThe(tc_prod(_u6610, _u6611), hAPP(hAPP(c_COMBS(tc_prod(_u6610, _u6611), _u6611, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6610, tc_fun(_u6611, tc_HOL_Obool), tc_prod(_u6610, _u6611)), _u6612), c_Product__Type_Ofst(_u6610, _u6611))), c_Product__Type_Osnd(_u6610, _u6611)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u6613, _u6614), _u6615) = c_HOL_OThe(tc_prod(_u6613, _u6614), hAPP(c_Product__Type_Oprod_Oprod__case(_u6613, _u6614, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6614, tc_prod(_u6613, _u6614)), tc_fun(_u6614, tc_HOL_Obool), _u6613), hAPP(c_COMBB(tc_prod(_u6613, _u6614), tc_HOL_Obool, _u6614), _u6615)), c_Product__Type_OPair(_u6613, _u6614))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u6616, _u6617), hAPP(c_Product__Type_Oprod_Oprod__case(_u6616, _u6617, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u6616, tc_fun(_u6617, tc_HOL_Obool), tc_fun(_u6617, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u6617, tc_HOL_Obool), tc_fun(_u6617, tc_HOL_Obool)), _u6616), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6617)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6616), c_fconj), hAPP(c_fequal, _u6618)))), hAPP(c_fequal, _u6619)))) = hAPP(hAPP(c_Product__Type_OPair(_u6616, _u6617), _u6618), _u6619)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u6620, _u6621) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u6620, _u6621))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u6622, hAPP(hAPP(c_COMBC(_u6622, _u6622, tc_HOL_Obool), c_fequal), _u6623)) = _u6623) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u6624, hAPP(c_fequal, _u6625)) = _u6625) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u6626, _u6627, _u6628, c_Code__Numeral_OSuc__code__numeral(_u6629)) = hAPP(hAPP(_u6628, _u6629), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u6626, _u6627, _u6628, _u6629))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6634), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6636, _u6638, _u6634, _u6640) = 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(_u6636)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u6636))) )).
% 13.05/13.25 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6635), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6637, _u6639, _u6635, _u6641) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u6637, 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u6639, _u6641)), 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(_u6637)))), 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(_u6637)))), 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u6637, 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(_u6637)))), 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u6637, _u6639, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6635), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6641))), 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(_u6637)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u6637, 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(_u6637)))), 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(_u6637)))), 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(_u6637))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), 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(_u6637)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637))))), tc_prod(_u6637, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u6637)), hAPP(hAPP(c_COMBB(_u6637, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), tc_prod(_u6637, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u6637)), c_Product__Type_Ofst(_u6637, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6644, hAPP(c_Product__Type_Osnd(_u6645, _u6646), _u6647)), hAPP(c_Product__Type_Ofst(_u6645, _u6646), _u6647))) | hBOOL(hAPP(_u6648, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6645, _u6646, _u6650), _u6649), _u6647))) | hBOOL(hAPP(hAPP(_u6644, skolem99(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644)), skolem98(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644))) )).
% 13.05/13.25 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u6644, hAPP(c_Product__Type_Osnd(_u6645, _u6646), _u6647)), hAPP(c_Product__Type_Ofst(_u6645, _u6646), _u6647))) | hBOOL(hAPP(_u6648, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6645, _u6646, _u6650), _u6649), _u6647))) | ~hBOOL(hAPP(_u6648, hAPP(hAPP(_u6649, skolem98(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644)), skolem99(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u6651, _u6652, _u6653, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u6652) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u6654, _u6655, _u6656) = 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(_u6654)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u6654))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u6657), _u6658), _u6659), _u6660) = 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(_u6657)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u6657), _u6658))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u6661), _u6662) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u6661, 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)))), _u6662)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u6664 = 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)), _u6664)) )).
% 13.05/13.25 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)), _u6665)) | ( _u6665 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6668), _u6670)) | ( c_Quickcheck_Obeyond(_u6668, _u6670) = _u6670) )).
% 13.05/13.25 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6669), _u6671)) | ( c_Quickcheck_Obeyond(_u6669, _u6671) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 13.05/13.25 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)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u6674) != hAPP(c_Code__Numeral_Oof__nat, _u6676)) | ( _u6674 = _u6676) )).
% 13.05/13.25 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u6675 != _u6677) | ( hAPP(c_Code__Numeral_Oof__nat, _u6675) = hAPP(c_Code__Numeral_Oof__nat, _u6677)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.25 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, _u6678)), hAPP(c_Code__Numeral_Oof__nat, _u6679)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6678), _u6679))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u6680, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 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))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 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))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.25 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, _u6683)), hAPP(c_Code__Numeral_Oof__nat, _u6685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6683), _u6685)) )).
% 13.05/13.25 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6684), _u6686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6684)), hAPP(c_Code__Numeral_Oof__nat, _u6686))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.25 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, _u6687)), hAPP(c_Code__Numeral_Oof__nat, _u6688)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6687), _u6688))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.25 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, _u6691)), hAPP(c_Code__Numeral_Oof__nat, _u6693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6691), _u6693)) )).
% 13.05/13.25 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6692), _u6694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6692)), hAPP(c_Code__Numeral_Oof__nat, _u6694))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u6695)), hAPP(c_Code__Numeral_Oof__nat, _u6696)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6695), _u6696))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral__decr-1, axiom, ( ( _u6697 = 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, _u6697)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u6697))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u6698, _u6699, _u6700, _u6701) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u6698, _u6699), _u6700), _u6701))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6702, _u6703) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u6702), hAPP(c_Code__Numeral_Onat__of, _u6703)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u6704), _u6705) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6704)), hAPP(c_Code__Numeral_Onat__of, _u6705)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u6711 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6713, _u6715, _u6717, _u6719), _u6711) = c_Lazy__Sequence_Oempty(_u6715)) )).
% 13.05/13.25 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u6712 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6714, _u6716, _u6718, _u6720), _u6712) = c_Lazy__Sequence_Obind(_u6714, _u6716, hAPP(_u6718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6712), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6714, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6716)), _u6720), _u6712))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6723) != hAPP(c_Code__Numeral_Onat__of, _u6725)) | ( _u6723 = _u6725) )).
% 13.05/13.25 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u6724 != _u6726) | ( hAPP(c_Code__Numeral_Onat__of, _u6724) = hAPP(c_Code__Numeral_Onat__of, _u6726)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6729) != hAPP(c_Code__Numeral_Onat__of, _u6731)) | ( _u6729 = _u6731) )).
% 13.05/13.25 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u6730 != _u6732) | ( hAPP(c_Code__Numeral_Onat__of, _u6730) = hAPP(c_Code__Numeral_Onat__of, _u6732)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6733)) = _u6733) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6734)) = _u6734) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u6735)) = _u6735) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6738), _u6740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6738)), hAPP(c_Code__Numeral_Onat__of, _u6740))) )).
% 13.05/13.25 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, _u6739)), hAPP(c_Code__Numeral_Onat__of, _u6741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6739), _u6741)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6742)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6742)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6745), _u6747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6745)), hAPP(c_Code__Numeral_Onat__of, _u6747))) )).
% 13.05/13.25 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, _u6746)), hAPP(c_Code__Numeral_Onat__of, _u6748))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6746), _u6748)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u6749) = c_Code__Numeral_Onat__of__aux(_u6749, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u6750, _u6751) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6750)), _u6751)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u6752) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u6752)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6753), _u6754) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6753)), hAPP(c_Code__Numeral_Onat__of, _u6754)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u6755), _u6756) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6755)), hAPP(c_Code__Numeral_Onat__of, _u6756)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6757), _u6758) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6757)), hAPP(c_Code__Numeral_Onat__of, _u6758)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u6759, _u6760, _u6761, _u6762, _u6763, _u6764, _u6765) = c_New__DSequence_Opos__decr__bind(_u6759, _u6760, hAPP(hAPP(hAPP(_u6761, _u6763), _u6764), _u6765), hAPP(hAPP(c_COMBC(_u6759, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6760))), hAPP(hAPP(c_COMBC(_u6759, 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(_u6760)))), hAPP(hAPP(c_COMBC(_u6759, 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(_u6760))))), _u6762), _u6763)), _u6764)), _u6765))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u6766), _u6767) = c_Lazy__Sequence_Oempty(_u6766)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u6768, _u6769, _u6770, _u6771), _u6772) = c_Lazy__Sequence_Obind(_u6768, _u6769, hAPP(_u6770, _u6772), hAPP(hAPP(c_COMBC(_u6768, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6769)), _u6771), _u6772))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u6778 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6780, _u6782, _u6784, _u6786), _u6778) = c_Lazy__Sequence_Ohit__bound(_u6782)) )).
% 13.05/13.25 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u6779 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6781, _u6783, _u6785, _u6787), _u6779) = c_Lazy__Sequence_Ohb__bind(_u6781, _u6783, hAPP(_u6785, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6779), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6781, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6783))), _u6787), _u6779))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u6788, _u6789, _u6790, _u6791), _u6792), _u6793) = hAPP(_u6791, hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6789), _u6792), _u6793))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_curryI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u6794, hAPP(hAPP(c_Product__Type_OPair(_u6795, _u6796), _u6797), _u6798))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u6795, _u6796, tc_HOL_Obool, _u6794), _u6797), _u6798)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_curryD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u6799, _u6800, tc_HOL_Obool, _u6801), _u6802), _u6803)) | hBOOL(hAPP(_u6801, hAPP(hAPP(c_Product__Type_OPair(_u6799, _u6800), _u6802), _u6803))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_curryE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u6804, _u6805, tc_HOL_Obool, _u6806), _u6807), _u6808)) | hBOOL(hAPP(_u6806, hAPP(hAPP(c_Product__Type_OPair(_u6804, _u6805), _u6807), _u6808))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u6809, _u6810, _u6811, _u6812), _u6813), _u6814) = hAPP(_u6812, hAPP(hAPP(c_Product__Type_OPair(_u6809, _u6810), _u6813), _u6814))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u6815, _u6816, _u6817, hAPP(c_Product__Type_Oprod_Oprod__case(_u6815, _u6816, _u6817), _u6818)) = _u6818) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u6819, _u6820, _u6821), c_Product__Type_Ocurry(_u6819, _u6820, _u6821, _u6822)) = _u6822) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u6823, _u6824, _u6825, _u6826) = c_New__DSequence_Opos__empty(_u6823)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u6827, _u6828, _u6829, _u6830, _u6831, _u6832, _u6833) = c_New__DSequence_Oneg__decr__bind(_u6827, _u6828, hAPP(hAPP(hAPP(_u6829, _u6831), _u6832), _u6833), hAPP(hAPP(c_COMBC(_u6827, 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(_u6828)))), hAPP(hAPP(c_COMBC(_u6827, 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(_u6828))))), hAPP(hAPP(c_COMBC(_u6827, 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(_u6828)))))), _u6830), _u6831)), _u6832)), _u6833))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u6834, _u6835, _u6836, _u6837), _u6838), _u6839), _u6840) = c_New__DSequence_Opos__bind(_u6834, _u6835, hAPP(hAPP(hAPP(_u6836, _u6838), _u6839), _u6840), hAPP(hAPP(c_COMBC(_u6834, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6835))), hAPP(hAPP(c_COMBC(_u6834, 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(_u6835)))), hAPP(hAPP(c_COMBC(_u6834, 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(_u6835))))), _u6837), _u6838)), _u6839)), _u6840))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u6841, _u6842, _u6843, _u6844), _u6845) = c_Lazy__Sequence_Ohb__bind(_u6841, _u6842, hAPP(_u6843, _u6845), hAPP(hAPP(c_COMBC(_u6841, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6842))), _u6844), _u6845))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 13.05/13.25 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), _u6846), _u6847)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6846), _u6848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6847), _u6848)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6849), _u6849)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6850) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6850), _u6851), c_Groups_Ozero__class_Ozero(_u6850))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 13.05/13.25 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))), _u6852)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6853) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6853), _u6854), _u6855)), _u6856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6853), _u6855), _u6856)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6857) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6857), _u6858), _u6859)), _u6860)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6857), _u6858), _u6860)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u6861) | ( _u6862 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6861), _u6863), _u6864)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6861), _u6863), _u6862)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6865) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6865), _u6866), _u6867)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6865), _u6868), _u6869)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6865), _u6866), _u6868)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6865), _u6867), _u6869))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6870) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6870), _u6871), _u6872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6870), _u6871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6870), _u6873), _u6872))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6874) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6874), _u6875), _u6876)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6874), _u6875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6874), _u6876), _u6877))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6878) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6878), _u6879), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6878), _u6880), _u6879))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6881) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6881), _u6882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6881), _u6882), _u6883))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__power__same ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__power__same-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6884) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6884), _u6885), _u6886)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6884), hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6885), _u6887)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6886), _u6887))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__dvd__div ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__dvd__div-1, axiom, ( ~class_Divides_Osemiring__div(_u6888) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6890)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6891)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6890), _u6889)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6891), _u6889))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6890), _u6891)) )).
% 13.05/13.25 cnf(fact_div__dvd__div-2, axiom, ( ~class_Divides_Osemiring__div(_u6888) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6890)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6891)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6890), _u6891)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6890), _u6889)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6891), _u6889))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_one__dvd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_one__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6892) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6892), c_Groups_Oone__class_Oone(_u6892)), _u6893)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6894) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6894), c_Groups_Ozero__class_Ozero(_u6894)), _u6895)) | ( _u6895 = c_Groups_Ozero__class_Ozero(_u6894)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6896) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6896), _u6897), _u6898)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6896), _u6898), _u6899)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6896), _u6897), _u6899)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6900) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6900), _u6901), _u6901)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__asym ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__asym, axiom, $true).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6904), _u6905)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6904)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6906)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6906), _u6905)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6904), _u6906)) )).
% 13.05/13.25 cnf(fact_dvd_Oless__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6904), _u6905)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6904)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6906)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6906), _u6905)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6906), _u6904)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__asym_H ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__asym_H, axiom, $true).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__le__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6909), _u6910)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6909)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6911)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6909), _u6911)) )).
% 13.05/13.25 cnf(fact_dvd_Oless__le__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6909), _u6910)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6909)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6911)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6911), _u6909)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oord__less__eq__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oord__less__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6912), _u6913)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6913), _u6912)) | ( _u6913 != _u6914) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6912), _u6914)) )).
% 13.05/13.25 cnf(fact_dvd_Oord__less__eq__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6912), _u6913)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6913), _u6912)) | ( _u6913 != _u6914) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6914), _u6912)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__imp__not__eq2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__imp__not__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6915), _u6916)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6916), _u6915)) | ( _u6916 != _u6915) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__imp__not__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__imp__not__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6917), _u6918)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6918), _u6917)) | ( _u6917 != _u6918) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__imp__not__less ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__imp__not__less, axiom, $true).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__imp__le ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__imp__le, axiom, $true).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__not__sym ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__not__sym, axiom, $true).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__imp__neq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__imp__neq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6925), _u6926)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6926), _u6925)) | ( _u6925 != _u6926) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Ole__less__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Ole__less__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6928), _u6929)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6929), _u6928)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6927), _u6929)) )).
% 13.05/13.25 cnf(fact_dvd_Ole__less__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6928), _u6929)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6929), _u6928)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6929), _u6927)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oord__eq__less__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oord__eq__less__trans-1, axiom, ( ( _u6930 != _u6931) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6931), _u6932)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6932), _u6931)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6930), _u6932)) )).
% 13.05/13.25 cnf(fact_dvd_Oord__eq__less__trans-2, axiom, ( ( _u6930 != _u6931) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6931), _u6932)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6932), _u6931)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6932), _u6930)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oorder__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oorder__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6933), _u6934)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6934), _u6935)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6933), _u6935)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oantisym ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oantisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6936), _u6937)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6937), _u6936)) | ( _u6936 = _u6937) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__antisym ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6938), _u6939)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6939), _u6938)) | ( _u6938 = _u6939) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oord__le__eq__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oord__le__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6940), _u6941)) | ( _u6941 != _u6942) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6940), _u6942)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oord__eq__le__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oord__eq__le__trans-1, axiom, ( ( _u6943 != _u6944) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6944), _u6945)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6943), _u6945)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Ole__neq__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Ole__neq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6946), _u6947)) | ( _u6946 = _u6947) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6947), _u6946)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Ole__imp__less__or__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Ole__imp__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6948), _u6949)) | ( _u6948 = _u6949) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6949), _u6948)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oantisym__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oantisym__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6950), _u6951)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6951), _u6950)) | ( _u6951 = _u6950) )).
% 13.05/13.25 cnf(fact_dvd_Oantisym__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6950), _u6951)) | ( _u6951 != _u6950) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6951), _u6950)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oeq__refl ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oeq__refl-1, axiom, ( ( _u6952 != _u6953) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6952), _u6953)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oneq__le__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oneq__le__trans-1, axiom, ( ( _u6954 = _u6955) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6954), _u6955)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6955), _u6954)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oless__le ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6958), _u6960)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6960), _u6958)) | ( _u6958 != _u6960) )).
% 13.05/13.25 cnf(fact_dvd_Oless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6959), _u6961)) | ( _u6959 = _u6961) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6961), _u6959)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Ole__less ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Ole__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6964), _u6966)) | ( _u6964 = _u6966) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6966), _u6964)) )).
% 13.05/13.25 cnf(fact_dvd_Ole__less-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6965), _u6967)) | ( _u6965 != _u6967) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Oeq__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Oeq__iff-1, axiom, ( ( _u6970 != _u6972) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6970), _u6972)) )).
% 13.05/13.25 cnf(fact_dvd_Oeq__iff-2, axiom, ( ( _u6970 != _u6972) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6972), _u6970)) )).
% 13.05/13.25 cnf(fact_dvd_Oeq__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6971), _u6973)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6973), _u6971)) | ( _u6971 = _u6973) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__add ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__add-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6974) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6974), _u6975), _u6976)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6974), _u6975), _u6977)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6974), _u6975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6974), _u6976), _u6977))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mod__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mod__iff-1, axiom, ( ~class_Divides_Osemiring__div(_u6978) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6980)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), c_Divides_Odiv__class_Omod(_u6978, _u6981, _u6980))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6981)) )).
% 13.05/13.25 cnf(fact_dvd__mod__iff-2, axiom, ( ~class_Divides_Osemiring__div(_u6978) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6980)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6981)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), c_Divides_Odiv__class_Omod(_u6978, _u6981, _u6980))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mod__mod__cancel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mod__mod__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u6982) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6982), _u6983), _u6984)) | ( c_Divides_Odiv__class_Omod(_u6982, c_Divides_Odiv__class_Omod(_u6982, _u6985, _u6984), _u6983) = c_Divides_Odiv__class_Omod(_u6982, _u6985, _u6983)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mod-1, axiom, ( ~class_Divides_Osemiring__div(_u6986) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6986), _u6987), _u6988)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6986), _u6987), _u6989)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6986), _u6987), c_Divides_Odiv__class_Omod(_u6986, _u6988, _u6989))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mod__imp__dvd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mod__imp__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u6990) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6990), _u6991), c_Divides_Odiv__class_Omod(_u6990, _u6992, _u6993))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6990), _u6991), _u6993)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6990), _u6991), _u6992)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u6994) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6996))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), _u6996)) )).
% 13.05/13.25 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u6994) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), _u6996)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6996))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u6997) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6998)), _u6999)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), _u6998), _u6999)) )).
% 13.05/13.25 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u6997) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), _u6998), _u6999)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6998)), _u6999)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u7000) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7000), _u7001), _u7002)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7000), _u7001), _u7003)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7000), _u7001), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7000), _u7002), _u7003))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__abs__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__abs__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7004) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), hAPP(c_Groups_Oabs__class_Oabs(_u7004), _u7006))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), _u7006)) )).
% 13.05/13.25 cnf(fact_dvd__abs__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7004) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), _u7006)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), hAPP(c_Groups_Oabs__class_Oabs(_u7004), _u7006))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_abs__dvd__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_abs__dvd__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7007) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), hAPP(c_Groups_Oabs__class_Oabs(_u7007), _u7008)), _u7009)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), _u7008), _u7009)) )).
% 13.05/13.25 cnf(fact_abs__dvd__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7007) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), _u7008), _u7009)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), hAPP(c_Groups_Oabs__class_Oabs(_u7007), _u7008)), _u7009)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__if__abs__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__if__abs__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u7010) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7010), _u7011) != hAPP(c_Groups_Oabs__class_Oabs(_u7010), _u7012)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7010), _u7011), _u7012)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__diff__nat ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__diff__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7013), _u7014)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7013), _u7015)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7013), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7014), _u7015))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__reduce ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__reduce-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7020), _u7018))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7018), _u7020)) )).
% 13.05/13.25 cnf(fact_dvd__reduce-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7019), _u7021)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7021), _u7019))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__dvd__1__iff__1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7023), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u7023 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_nat__dvd__1__iff__1-2, axiom, ( ( _u7024 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7024), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u7025) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7026), _u7027)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7028), _u7027))) | ( _u7027 = c_Groups_Ozero__class_Ozero(_u7025)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), _u7026), _u7028)) )).
% 13.05/13.25 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u7025) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7026), _u7027)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7028), _u7027))) | ( _u7027 != c_Groups_Ozero__class_Ozero(_u7025)) )).
% 13.05/13.25 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u7025) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7026), _u7027)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7028), _u7027))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), _u7026), _u7028)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u7029) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7032))) | ( _u7030 = c_Groups_Ozero__class_Ozero(_u7029)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), _u7031), _u7032)) )).
% 13.05/13.25 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u7029) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7032))) | ( _u7030 != c_Groups_Ozero__class_Ozero(_u7029)) )).
% 13.05/13.25 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u7029) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7032))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), _u7031), _u7032)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7033) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7033), _u7034), _u7035)) | ( c_Divides_Odiv__class_Omod(_u7033, _u7035, _u7034) = c_Groups_Ozero__class_Ozero(_u7033)) )).
% 13.05/13.25 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u7033) | ( c_Divides_Odiv__class_Omod(_u7033, _u7035, _u7034) != c_Groups_Ozero__class_Ozero(_u7033)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7033), _u7034), _u7035)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u7036) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7036), _u7037), _u7038)) | ( c_Divides_Odiv__class_Omod(_u7036, _u7038, _u7037) = c_Groups_Ozero__class_Ozero(_u7036)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__add ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__add-1, axiom, ( ~class_Divides_Osemiring__div(_u7039) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7039), _u7040), _u7041)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7039), _u7040), _u7042)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7039), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7039), _u7041), _u7042)), _u7040) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7039), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7039), _u7041), _u7040)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7039), _u7042), _u7040))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u7043) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7043), _u7044), _u7045)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7043), _u7046), _u7047)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7043), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7043), _u7045), _u7044)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7043), _u7047), _u7046)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7043), _u7045), _u7047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7043), _u7044), _u7046))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7048) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7048), _u7049), _u7050)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7048), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7048), _u7050), _u7049)), _u7051) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7048), _u7050), _u7051)), _u7049)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u7052) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7052), _u7053), _u7054)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7052), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7052), _u7054), _u7053)), _u7053) = _u7054) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u7055) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7055), _u7056), _u7057)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7055), _u7058), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7055), _u7057), _u7056)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7055), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7055), _u7058), _u7057)), _u7056)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u7059) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7059), _u7060), _u7061)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7059), _u7060), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7059), _u7061), _u7060)) = _u7061) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__neg__div ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__neg__div-1, axiom, ( ~class_Divides_Oring__div(_u7062) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7062), _u7063), _u7064)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7062), hAPP(c_Groups_Ouminus__class_Ouminus(_u7062), _u7064)), _u7063) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7062), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7062), _u7064), _u7063))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__div__neg ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__div__neg-1, axiom, ( ~class_Divides_Oring__div(_u7065) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7065), _u7066), _u7067)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7065), _u7067), hAPP(c_Groups_Ouminus__class_Ouminus(_u7065), _u7066)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7065), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7065), _u7067), _u7066))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__imp__power__dvd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__imp__power__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7069), _u7070)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7068), hAPP(hAPP(c_Power_Opower__class_Opower(_u7068), _u7071), _u7069)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7068), _u7071), _u7070))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__power__le ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__power__le-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7072) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7072), _u7073), _u7074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7075), _u7076)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7072), hAPP(hAPP(c_Power_Opower__class_Opower(_u7072), _u7073), _u7075)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7072), _u7074), _u7076))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_power__le__dvd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_power__le__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7077) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7077), hAPP(hAPP(c_Power_Opower__class_Opower(_u7077), _u7078), _u7079)), _u7080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7081), _u7079)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7077), hAPP(hAPP(c_Power_Opower__class_Opower(_u7077), _u7078), _u7081)), _u7080)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_div__power ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_div__power-1, axiom, ( ~class_Divides_Osemiring__div(_u7082) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7082), _u7083), _u7084)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7082), _u7084), _u7083)), _u7085) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7082), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), _u7084), _u7085)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), _u7083), _u7085))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__1__iff__1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7087), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7087 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.25 cnf(fact_dvd__1__iff__1-2, axiom, ( ( _u7088 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7088), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__dvd__not__less ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__dvd__not__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7089), _u7090)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7090), _u7089)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 13.05/13.25 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), _u7094), _u7096)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7094), _u7098))) | ( _u7094 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7096), _u7098)) )).
% 13.05/13.25 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), _u7095), _u7097)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7095), _u7099))) | ( _u7095 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25 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), _u7095), _u7097)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7095), _u7099))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7097), _u7099)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__diffD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__diffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7100), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7101), _u7102))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7100), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7102), _u7101)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7100), _u7101)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__diffD1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__diffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7103), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7104), _u7105))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7103), _u7104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7105), _u7104)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7103), _u7105)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u7110) | ~class_Rings_Osemiring__0(_u7110) | ~hBOOL(hAPP(_u7111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7110), _u7112), _u7106))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7110), _u7112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7110), skolem100(_u7112, _u7111, _u7110)), c_Groups_Ozero__class_Ozero(_u7110)))) )).
% 13.05/13.25 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u7110) | ~class_Rings_Osemiring__0(_u7110) | ~hBOOL(hAPP(_u7111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7110), _u7112), _u7106))) | hBOOL(hAPP(_u7111, skolem100(_u7112, _u7111, _u7110))) )).
% 13.05/13.25 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u7110) | ~class_Rings_Osemiring__0(_u7110) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7110), _u7112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7110), _u7108), c_Groups_Ozero__class_Ozero(_u7110)))) | ~hBOOL(hAPP(_u7111, _u7108)) | hBOOL(hAPP(_u7111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7110), _u7112), skolem101(_u7112, _u7111, _u7110)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u7115) | ~class_Rings_Odvd(_u7115) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7117)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), _u7121), _u7118))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7115), _u7121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7115), _u7119), _u7117))), _u7118))) )).
% 13.05/13.25 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u7115) | ~class_Rings_Odvd(_u7115) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7117)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), _u7122), _u7118))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7115), _u7122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7115), _u7120), _u7117))), _u7118))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u7125) | ~class_Rings_Odvd(_u7125) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), _u7127)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), _u7131), _u7128))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7125), _u7131), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7125), _u7129), _u7127))), _u7128))) )).
% 13.05/13.25 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u7125) | ~class_Rings_Odvd(_u7125) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), _u7127)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), _u7132), _u7128))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7125), _u7132), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7125), _u7130), _u7127))), _u7128))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__eq__mod__eq__0__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__eq__mod__eq__0__number__of-1, axiom, ( ~class_Divides_Osemiring__div(_u7133) | ~class_Int_Onumber(_u7133) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7133), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135))) | ( c_Divides_Odiv__class_Omod(_u7133, hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)) = c_Groups_Ozero__class_Ozero(_u7133)) )).
% 13.05/13.25 cnf(fact_dvd__eq__mod__eq__0__number__of-2, axiom, ( ~class_Divides_Osemiring__div(_u7133) | ~class_Int_Onumber(_u7133) | ( c_Divides_Odiv__class_Omod(_u7133, hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)) != c_Groups_Ozero__class_Ozero(_u7133)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7133), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7136) | ( _u7137 = c_Groups_Ozero__class_Ozero(_u7136)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7136), _u7137), _u7138)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7136), _u7138), _u7137) != _u7139) | ( _u7138 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7136), _u7139), _u7137)) )).
% 13.05/13.25 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u7136) | ( _u7137 = c_Groups_Ozero__class_Ozero(_u7136)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7136), _u7137), _u7138)) | ( _u7138 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7136), _u7139), _u7137)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7136), _u7138), _u7137) = _u7139) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u7140) | ( _u7141 = c_Groups_Ozero__class_Ozero(_u7140)) | ( _u7142 = c_Groups_Ozero__class_Ozero(_u7140)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7141), _u7143)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7142), _u7144)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7143), _u7141) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7144), _u7142)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7143), _u7142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7141), _u7144)) )).
% 13.05/13.25 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u7140) | ( _u7141 = c_Groups_Ozero__class_Ozero(_u7140)) | ( _u7142 = c_Groups_Ozero__class_Ozero(_u7140)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7141), _u7143)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7142), _u7144)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7143), _u7142) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7141), _u7144)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7143), _u7141) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7144), _u7142)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__imp__le ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7145), _u7146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7145), _u7146)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__mult__dvd__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7147)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7149))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7148), _u7149)) )).
% 13.05/13.25 cnf(fact_nat__mult__dvd__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7147)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7148), _u7149)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7149))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7150), _u7151)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7150), _u7152))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7150)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7151), _u7152)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__power ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__power-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7153) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7153), _u7155), hAPP(hAPP(c_Power_Opower__class_Opower(_u7153), _u7155), _u7154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7154)) )).
% 13.05/13.25 cnf(fact_dvd__power-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7153) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7153), _u7155), hAPP(hAPP(c_Power_Opower__class_Opower(_u7153), _u7155), _u7154))) | ( _u7155 != c_Groups_Oone__class_Oone(_u7153)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__cancel2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7156)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7157), _u7156)), _u7156)) | ( _u7157 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_dvd__mult__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7156)) | ( _u7157 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7157), _u7156)), _u7156)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__mult__cancel1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__mult__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7158)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7158), _u7159)), _u7158)) | ( _u7159 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_dvd__mult__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7158)) | ( _u7159 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7158), _u7159)), _u7158)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u7160, _u7161, _u7162, _u7163), _u7164), _u7165), _u7166) = c_New__DSequence_Oneg__bind(_u7160, _u7161, hAPP(hAPP(hAPP(_u7162, _u7164), _u7165), _u7166), hAPP(hAPP(c_COMBC(_u7160, 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(_u7161)))), hAPP(hAPP(c_COMBC(_u7160, 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(_u7161))))), hAPP(hAPP(c_COMBC(_u7160, 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(_u7161)))))), _u7163), _u7164)), _u7165)), _u7166))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Ostrict__monoD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Ostrict__monoD-1, axiom, ( ~class_Orderings_Oorder(_u7167) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7167, 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)))), _u7168) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7169), _u7170)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7170), _u7169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7167), hAPP(_u7168, _u7169)), hAPP(_u7168, _u7170))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_OmonoD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_OmonoD-1, axiom, ( ~class_Orderings_Oorder(_u7171) | ~c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7171, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7172) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7171), hAPP(_u7172, _u7173)), hAPP(_u7172, _u7174))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_nat__dvd__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_nat__dvd__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7177)), _u7179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7177)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7177), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7179))) )).
% 13.05/13.25 cnf(fact_nat__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7177)), _u7179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7177)) | ( _u7179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_nat__dvd__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7178)), _u7180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7178)) | ( _u7180 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25 cnf(fact_nat__dvd__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7178)), _u7180)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7178), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7180))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7178)) )).
% 13.05/13.25 cnf(fact_nat__dvd__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7178)), _u7180)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7178), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7180))) | ( _u7180 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_hoare__derivs_OCall ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_hoare__derivs_OCall-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7181, _u7182, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7181)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7181), _u7183), hAPP(c_Com_Ocom_OBODY, _u7184)), hAPP(hAPP(c_COMBC(_u7181, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7181), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7185)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), hAPP(c_Natural_Ogetlocs, _u7186)))), _u7187)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Oloc, tc_Nat_Onat), c_Natural_Ogetlocs), c_Com_ORes))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7181), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7181, _u7182, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7181)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7181), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7181), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u7186)))), hAPP(hAPP(c_COMBC(_u7181, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7181), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7183)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), c_Natural_Onewlocs))), c_Com_Ovname_OLoc(c_Com_OArg))), _u7188)))), c_Com_Ocom_OCall(_u7187, _u7184, _u7188)), _u7185)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7181), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7189, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7189, tc_HOL_Obool))), _u7190)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__zmod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__zmod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7191), _u7192)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7191), _u7193)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7191), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7192, _u7193))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__zmod__imp__zdvd ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__zmod__imp__zdvd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7194), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7195, _u7196))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7194), _u7196)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7194), _u7195)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_uminus__dvd__conv_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_uminus__dvd__conv_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7199), _u7201)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7199)), _u7201)) )).
% 13.05/13.25 cnf(fact_uminus__dvd__conv_I1_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7200)), _u7202)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7200), _u7202)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_uminus__dvd__conv_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_uminus__dvd__conv_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7205), _u7207)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7205), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7207))) )).
% 13.05/13.25 cnf(fact_uminus__dvd__conv_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7206), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7208))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7206), _u7208)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__zdiffD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__zdiffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7210), _u7211))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7209), _u7211)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7209), _u7210)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7212, tc_HOL_Obool)), _u7213), hAPP(hAPP(c_Set_Oinsert(_u7212), _u7214), _u7213))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7216), _u7217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7216), hAPP(hAPP(c_Set_Oinsert(_u7215), _u7218), _u7217))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7219, tc_HOL_Obool)), _u7220), _u7221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7219, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7219), _u7222), _u7220)), hAPP(hAPP(c_Set_Oinsert(_u7219), _u7222), _u7221))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_LoopF ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_LoopF-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7223, _u7224, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7223)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7223), hAPP(hAPP(c_COMBC(_u7223, tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7223), c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7223), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u7225))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u7226))), c_Com_Ocom_OWhile(_u7226, _u7227)), _u7225)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7223), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Comp ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7228, _u7229, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7228)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7228), _u7230), _u7231), _u7232)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7228), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7228, _u7229, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7228)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7228), _u7232), _u7233), _u7234)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7228), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7228, _u7229, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7228)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7228), _u7230), c_Com_Ocom_OSemi(_u7231, _u7233)), _u7234)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7228), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7235, _u7236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7235)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7235), _u7237), c_Com_Ocom_OSKIP), _u7237)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7235), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7238, _u7239, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7238)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7238), _u7240), c_Com_Ocom_OSKIP), _u7240)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7238), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7241, tc_HOL_Obool)), _u7242), hAPP(hAPP(c_Set_Oinsert(_u7241), _u7243), _u7244)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7241, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7241, tc_HOL_Obool)), _u7242), _u7244)), hAPP(hAPP(c_Set_Oinsert(_u7241), _u7243), c_Orderings_Obot__class_Obot(tc_fun(_u7241, tc_HOL_Obool))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7245, tc_HOL_Obool)), _u7246), hAPP(hAPP(c_Set_Oinsert(_u7245), _u7247), _u7248)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7245, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7245, tc_HOL_Obool)), _u7246), hAPP(hAPP(c_Set_Oinsert(_u7245), _u7247), c_Orderings_Obot__class_Obot(tc_fun(_u7245, tc_HOL_Obool))))), _u7248)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7249), _u7250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7249, tc_HOL_Obool)), _u7251), hAPP(hAPP(c_Set_Oinsert(_u7249), _u7250), c_Orderings_Obot__class_Obot(tc_fun(_u7249, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u7249), _u7250), _u7251)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_thin ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_thin-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7252, _u7253, _u7254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7252), tc_HOL_Obool)), _u7253), _u7255)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7252, _u7255, _u7254) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_weaken ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7256, _u7257, _u7258) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7256), tc_HOL_Obool)), _u7259), _u7258)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7256, _u7257, _u7259) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_asm ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7260), tc_HOL_Obool)), _u7261), _u7262)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7260, _u7262, _u7261) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_derivs__insertD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_derivs__insertD-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7263)), _u7265), _u7266)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7263)), _u7265), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7263), tc_HOL_Obool)))) )).
% 13.05/13.25 cnf(fact_derivs__insertD-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7263)), _u7265), _u7266)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, _u7266) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7267, _u7268, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7267)), _u7269), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7267), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7267, _u7268, _u7270) | c_Hoare__Mirabelle_Ohoare__derivs(_u7267, _u7268, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7267)), _u7269), _u7270)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_cut ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7271, _u7272, _u7273) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7271, _u7274, _u7272) | c_Hoare__Mirabelle_Ohoare__derivs(_u7271, _u7274, _u7273) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7275, _u7276, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7275), tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_empty ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_empty-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7277, _u7278, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7277), tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u7279) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7280, _u7279)), _u7281) = c_Orderings_Obot__class_Obot(_u7279)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u7282, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u7282), _u7283), _u7284)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7285), _u7286), _u7287) != c_Orderings_Obot__class_Obot(tc_fun(_u7285, tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7288), _u7289), hAPP(hAPP(c_Set_Oinsert(_u7288), _u7289), _u7290)) = hAPP(hAPP(c_Set_Oinsert(_u7288), _u7289), _u7290)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7291), _u7292), hAPP(hAPP(c_Set_Oinsert(_u7291), _u7293), _u7294)) = hAPP(hAPP(c_Set_Oinsert(_u7291), _u7293), hAPP(hAPP(c_Set_Oinsert(_u7291), _u7292), _u7294))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7302 = _u7306) | ( _u7302 = _u7308) )).
% 13.05/13.25 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7302 = _u7306) | ( _u7304 = _u7306) )).
% 13.05/13.25 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7304 = _u7308) | ( _u7302 = _u7308) )).
% 13.05/13.25 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7304 = _u7308) | ( _u7304 = _u7306) )).
% 13.05/13.25 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7301), _u7303), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7305), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u7301), _u7307), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7309), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool))))) | ( _u7303 != _u7307) | ( _u7305 != _u7309) )).
% 13.05/13.25 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7301), _u7303), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7305), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u7301), _u7307), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7309), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool))))) | ( _u7303 != _u7309) | ( _u7305 != _u7307) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__code-1, axiom, ( ( _u7316 = _u7320) | hBOOL(hAPP(_u7318, _u7320)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u7314), _u7316), _u7318), _u7320)) )).
% 13.05/13.25 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u7315), _u7317), _u7319), _u7321)) | ( _u7317 != _u7321) )).
% 13.05/13.25 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u7315), _u7317), _u7319), _u7321)) | ~hBOOL(hAPP(_u7319, _u7321)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_singleton__inject-1, axiom, ( ( _u7323 = _u7324) | ( hAPP(hAPP(c_Set_Oinsert(_u7322), _u7323), c_Orderings_Obot__class_Obot(tc_fun(_u7322, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u7322), _u7324), c_Orderings_Obot__class_Obot(tc_fun(_u7322, tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7325, tc_HOL_Obool)), _u7326), hAPP(hAPP(c_Set_Oinsert(_u7325), _u7327), c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_HOL_Obool))))) | ( _u7326 = c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_HOL_Obool))) | ( _u7326 = hAPP(hAPP(c_Set_Oinsert(_u7325), _u7327), c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u7328) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7329, _u7328)), _u7330) = c_Orderings_Obot__class_Obot(_u7328)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_hoare__derivs_Oequations_I8_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_hoare__derivs_Oequations_I8_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7331, _u7332, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7331)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7331), hAPP(hAPP(c_COMBC(_u7331, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7331), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7333)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u7334)), _u7335))), c_Com_Ocom_OAss(_u7334, _u7335)), _u7333)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7331), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ass ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ass-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7336, _u7337, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7336)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7336), hAPP(hAPP(c_COMBC(_u7336, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7336), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7338)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u7339)), _u7340))), c_Com_Ocom_OAss(_u7339, _u7340)), _u7338)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7336), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__antisym__abs ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__antisym__abs-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7341), _u7342)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7342), _u7341)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7341) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7342)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7345, tc_HOL_Obool)), _u7347), c_Orderings_Obot__class_Obot(tc_fun(_u7345, tc_HOL_Obool)))) | ( _u7347 = c_Orderings_Obot__class_Obot(tc_fun(_u7345, tc_HOL_Obool))) )).
% 13.05/13.25 cnf(fact_subset__empty-2, axiom, ( ( _u7348 != c_Orderings_Obot__class_Obot(tc_fun(_u7346, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7346, tc_HOL_Obool)), _u7348), c_Orderings_Obot__class_Obot(tc_fun(_u7346, tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7349, tc_HOL_Obool)), _u7350), _u7350) = c_Orderings_Obot__class_Obot(tc_fun(_u7349, tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7351, tc_HOL_Obool)), _u7352), c_Orderings_Obot__class_Obot(tc_fun(_u7351, tc_HOL_Obool))) = _u7352) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7353, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7353, tc_HOL_Obool))), _u7354) = c_Orderings_Obot__class_Obot(tc_fun(_u7353, tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7355, tc_HOL_Obool)), _u7356), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_weak__Body ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_weak__Body-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7357, _u7358, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7357)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7357), _u7359), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u7360))), _u7361)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7357), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7357, _u7358, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7357)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7357), _u7359), hAPP(c_Com_Ocom_OBODY, _u7360)), _u7361)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7357), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_BodyN ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_BodyN-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7362, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7362), _u7363), hAPP(c_Com_Ocom_OBODY, _u7364)), _u7365)), _u7366), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7362), _u7363), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u7364))), _u7365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7362), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7362, _u7366, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7362), _u7363), hAPP(c_Com_Ocom_OBODY, _u7364)), _u7365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7362), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u7367) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7367), c_Orderings_Obot__class_Obot(_u7367)), _u7368)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__antisym__nonneg ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__antisym__nonneg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7369), _u7370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7370), _u7369)) | ( _u7369 = _u7370) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__not__zless ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__not__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7371), _u7372)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7372), _u7371)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_hoare__derivs_OLocal ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_hoare__derivs_OLocal-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7373, _u7374, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7373)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7373), _u7375), _u7376), hAPP(hAPP(c_COMBC(_u7373, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7373), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7377)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u7378))), hAPP(hAPP(c_Natural_Ogetlocs, _u7379), _u7378))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7373), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7373, _u7374, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7373)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7373), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7373), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u7379)))), hAPP(hAPP(c_COMBC(_u7373, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7373), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7375)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u7378))), _u7380)))), c_Com_Ocom_OLocal(_u7378, _u7380, _u7376)), _u7377)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7373), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__mono-1, axiom, ( ( _u7381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7382), _u7383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7383))) )).
% 13.05/13.25 cnf(fact_zdvd__mono-2, axiom, ( ( _u7381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7383))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7382), _u7383)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__mult__cancel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__mult__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7384), _u7385)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7384), _u7386))) | ( _u7384 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7385), _u7386)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__reduce ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__reduce-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7390), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7390), _u7394)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7390), _u7392)) )).
% 13.05/13.25 cnf(fact_zdvd__reduce-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7391), _u7393)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7393), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7391), _u7395)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__period ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__period-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), _u7397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), _u7399))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7400), _u7397))), _u7399))) )).
% 13.05/13.25 cnf(fact_zdvd__period-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), _u7397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7400), _u7397))), _u7399))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), _u7399))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__int ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7403), _u7405)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7403)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7405))) )).
% 13.05/13.25 cnf(fact_zdvd__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7404)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7406))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7404), _u7406)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_transfer__int__nat__relations_I4_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_transfer__int__nat__relations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7409)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7411))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7409), _u7411)) )).
% 13.05/13.25 cnf(fact_transfer__int__nat__relations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7410), _u7412)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7410)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7412))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__mult__div__cancel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__mult__div__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7413), _u7414)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7413), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7414), _u7413)) = _u7414) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zmod__eq__dvd__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zmod__eq__dvd__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7418, _u7420) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7422, _u7420)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7420), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7418), _u7422))) )).
% 13.05/13.25 cnf(fact_zmod__eq__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7419), _u7423))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7419, _u7421) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7423, _u7421)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd1__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7425), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7425) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.25 cnf(fact_zdvd1__eq-2, axiom, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7426) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7426), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_abs__div ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_abs__div-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7427), _u7428)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7428), _u7427)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7428)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7427))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Ostrict__mono__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Ostrict__mono__mono-1, axiom, ( ~class_Orderings_Oorder(_u7429) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7429, 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)))), _u7430) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7429, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7430) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7433, tc_HOL_Obool)), _u7435), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7433, tc_HOL_Obool)), _u7435))) | ( _u7435 = c_Orderings_Obot__class_Obot(tc_fun(_u7433, tc_HOL_Obool))) )).
% 13.05/13.25 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u7436 != c_Orderings_Obot__class_Obot(tc_fun(_u7434, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7434, tc_HOL_Obool)), _u7436), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7434, tc_HOL_Obool)), _u7436))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__imp__le ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7437), _u7438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7437), _u7438)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__iff__zmod__eq__0__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__iff__zmod__eq__0__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7441)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7443))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7443), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7441)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.05/13.25 cnf(fact_zdvd__iff__zmod__eq__0__number__of-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7444), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7442)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7442)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7444))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__imp__le__int ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__imp__le__int-1, axiom, ( ( _u7445 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7446), _u7445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7446)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7445))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_transfer__nat__int__relations_I4_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_transfer__nat__int__relations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7448)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7447)), hAPP(c_Int_Onat, _u7448))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7447), _u7448)) )).
% 13.05/13.25 cnf(fact_transfer__nat__int__relations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7448)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7447), _u7448)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7447)), hAPP(c_Int_Onat, _u7448))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_zdvd__mult__cancel1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_zdvd__mult__cancel1-1, axiom, ( ( _u7449 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7449), _u7450)), _u7449)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7450) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.05/13.25 cnf(fact_zdvd__mult__cancel1-2, axiom, ( ( _u7449 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7450) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7449), _u7450)), _u7449)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_int__dvd__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_int__dvd__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7453)), _u7455)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7453), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7455)))) )).
% 13.05/13.25 cnf(fact_int__dvd__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7454), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7456)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7454)), _u7456)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd__int__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd__int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7459), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7461))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7459))), _u7461)) )).
% 13.05/13.25 cnf(fact_dvd__int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7460))), _u7462)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7460), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7462))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u7463, _u7464) = c_HOL_OThe(_u7463, hAPP(hAPP(c_COMBB(tc_fun(_u7463, tc_HOL_Obool), tc_HOL_Obool, _u7463), hAPP(c_fequal, _u7464)), hAPP(hAPP(c_COMBC(_u7463, tc_fun(_u7463, tc_HOL_Obool), tc_fun(_u7463, tc_HOL_Obool)), c_Set_Oinsert(_u7463)), c_Orderings_Obot__class_Obot(tc_fun(_u7463, tc_HOL_Obool)))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u7465, hAPP(hAPP(c_Set_Oinsert(_u7465), _u7466), c_Orderings_Obot__class_Obot(tc_fun(_u7465, tc_HOL_Obool)))) = _u7466) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Option_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Option_Oset_Osimps_I2_J-1, axiom, ( ( c_Option_Oset(_u7467, hAPP(c_Option_Ooption_OSome(_u7467), _u7468)) = hAPP(hAPP(c_Set_Oinsert(_u7467), _u7468), c_Orderings_Obot__class_Obot(tc_fun(_u7467, tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_escape ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_escape-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7472, _u7473, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7472)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7472), _u7471), _u7474), _u7475)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7472), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7471, skolem102(_u7475, _u7474, _u7473, _u7472, _u7471)), skolem103(_u7475, _u7474, _u7473, _u7472, _u7471))) )).
% 13.05/13.25 cnf(fact_escape-2, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7472, _u7473, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7472)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7472), _u7471), _u7474), _u7475)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7472), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7472, _u7473, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7472)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7472), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7472), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem103(_u7475, _u7474, _u7473, _u7472, _u7471)))), _u7474), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7472), hAPP(_u7475, skolem102(_u7475, _u7474, _u7473, _u7472, _u7471))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7472), tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_conseq1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_conseq1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7480), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7483), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7483, skolem104(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478)), skolem105(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478))) )).
% 13.05/13.25 cnf(fact_conseq1-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7480), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7483), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u7480, skolem104(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478)), skolem105(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_set__empty__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_set__empty__eq-1, axiom, ( ( c_Option_Oset(_u7486, _u7488) != c_Orderings_Obot__class_Obot(tc_fun(_u7486, tc_HOL_Obool))) | ( _u7488 = c_Option_Ooption_ONone(_u7486)) )).
% 13.05/13.25 cnf(fact_set__empty__eq-2, axiom, ( ( _u7489 != c_Option_Ooption_ONone(_u7487)) | ( c_Option_Oset(_u7487, _u7489) = c_Orderings_Obot__class_Obot(tc_fun(_u7487, tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Option_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Option_Oset_Osimps_I1_J-1, axiom, ( ( c_Option_Oset(_u7490, c_Option_Ooption_ONone(_u7490)) = c_Orderings_Obot__class_Obot(tc_fun(_u7490, tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_conseq2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_conseq2-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7497)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7498)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7497, skolem106(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493)), skolem107(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493))) )).
% 13.05/13.25 cnf(fact_conseq2-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7497)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7498)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u7498, skolem106(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493)), skolem107(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), _u7509))) | ~hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), _u7509)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), _u7509))) | hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7509)) | ~hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), c_Orderings_Obot__class_Obot(tc_fun(_u7503, tc_HOL_Obool))))), _u7509)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), _u7509))) | hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7509)) | hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7503, tc_HOL_Obool)), _u7505), _u7509)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | ~hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) )).
% 13.05/13.25 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_Ostrict__monoI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_Ostrict__monoI-1, axiom, ( ~class_Orderings_Oorder(_u7513) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7513, 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)))), _u7514) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem108(_u7514, _u7513)), skolem109(_u7514, _u7513))) )).
% 13.05/13.25 cnf(fact_dvd_Ostrict__monoI-2, axiom, ( ~class_Orderings_Oorder(_u7513) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7513, 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)))), _u7514) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem109(_u7514, _u7513)), skolem108(_u7514, _u7513))) )).
% 13.05/13.25 cnf(fact_dvd_Ostrict__monoI-3, axiom, ( ~class_Orderings_Oorder(_u7513) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7513, 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)))), _u7514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7513), hAPP(_u7514, skolem108(_u7514, _u7513))), hAPP(_u7514, skolem109(_u7514, _u7513)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_dvd_OmonoI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_dvd_OmonoI-1, axiom, ( ~class_Orderings_Oorder(_u7517) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7517, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7518) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem110(_u7518, _u7517)), skolem111(_u7518, _u7517))) )).
% 13.05/13.25 cnf(fact_dvd_OmonoI-2, axiom, ( ~class_Orderings_Oorder(_u7517) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7517, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7517), hAPP(_u7518, skolem110(_u7518, _u7517))), hAPP(_u7518, skolem111(_u7518, _u7517)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_equalityCE-1, axiom, ( ( _u7519 != _u7520) | hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7519)) | ~hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7520)) )).
% 13.05/13.25 cnf(fact_equalityCE-2, axiom, ( ( _u7519 != _u7520) | hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7520)) | ~hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7519)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7523), _u7524), c_Orderings_Obot__class_Obot(tc_fun(_u7523, tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insertE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7525), _u7526), hAPP(hAPP(c_Set_Oinsert(_u7525), _u7527), _u7528))) | ( _u7526 = _u7527) | hBOOL(hAPP(hAPP(c_member(_u7525), _u7526), _u7528)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7529), _u7530), hAPP(hAPP(c_Set_Oinsert(_u7529), _u7532), _u7531))) | ~hBOOL(hAPP(hAPP(c_member(_u7529), _u7530), _u7531)) )).
% 13.05/13.25 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7529), _u7530), hAPP(hAPP(c_Set_Oinsert(_u7529), _u7532), _u7531))) | ( _u7530 != _u7532) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7533, tc_HOL_Obool)), _u7534), _u7535)) | ~hBOOL(hAPP(hAPP(c_member(_u7533), _u7536), _u7534)) | hBOOL(hAPP(hAPP(c_member(_u7533), _u7536), _u7535)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7537, tc_HOL_Obool)), _u7539), _u7540))) | hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), _u7539)) )).
% 13.05/13.25 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7537, tc_HOL_Obool)), _u7539), _u7540))) | ~hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), _u7540)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7541), _u7542), _u7543)) | hBOOL(hAPP(hAPP(c_member(_u7541), _u7542), _u7544)) | hBOOL(hAPP(hAPP(c_member(_u7541), _u7542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7541, tc_HOL_Obool)), _u7543), _u7544))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7545), _u7546), _u7547)) | hBOOL(hAPP(hAPP(c_member(_u7545), _u7546), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7545, tc_HOL_Obool)), _u7547))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7548), _u7549), hAPP(hAPP(_u7550, _u7551), _u7552))) | hBOOL(hAPP(hAPP(c_member(_u7548), _u7549), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7553, _u7554, tc_fun(_u7548, tc_HOL_Obool)), _u7550), hAPP(hAPP(c_Product__Type_OPair(_u7553, _u7554), _u7551), _u7552)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7555), _u7556), hAPP(hAPP(c_Set_Oinsert(_u7555), _u7556), _u7557))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7562), skolem112(_u7564, _u7562)), _u7564)) | ( _u7564 = c_Orderings_Obot__class_Obot(tc_fun(_u7562, tc_HOL_Obool))) )).
% 13.05/13.25 cnf(fact_all__not__in__conv-2, axiom, ( ( _u7565 != c_Orderings_Obot__class_Obot(tc_fun(_u7563, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7563), _u7559), _u7565)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7570), _u7566), _u7572)) | ( _u7572 != c_Orderings_Obot__class_Obot(tc_fun(_u7570, tc_HOL_Obool))) )).
% 13.05/13.25 cnf(fact_ex__in__conv-2, axiom, ( ( _u7573 = c_Orderings_Obot__class_Obot(tc_fun(_u7571, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u7571), skolem113(_u7573, _u7571)), _u7573)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7574), _u7575), c_Orderings_Obot__class_Obot(tc_fun(_u7574, tc_HOL_Obool)))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7580), _u7582), hAPP(hAPP(c_Set_Oinsert(_u7580), _u7584), _u7586))) | ( _u7582 = _u7584) | hBOOL(hAPP(hAPP(c_member(_u7580), _u7582), _u7586)) )).
% 13.05/13.25 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7581), _u7583), hAPP(hAPP(c_Set_Oinsert(_u7581), _u7585), _u7587))) | ( _u7583 != _u7585) )).
% 13.05/13.25 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7581), _u7583), hAPP(hAPP(c_Set_Oinsert(_u7581), _u7585), _u7587))) | ~hBOOL(hAPP(hAPP(c_member(_u7581), _u7583), _u7587)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7590)) | hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7591)) | ( hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7590) != hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7591)) | ( _u7590 = _u7591) )).
% 13.05/13.25 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7590)) | hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7591)) | ( _u7590 != _u7591) | ( hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7590) = hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7591)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_equals0D-1, axiom, ( ( _u7592 != c_Orderings_Obot__class_Obot(tc_fun(_u7593, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7593), _u7594), _u7592)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7595), _u7596), _u7597)) | hBOOL(hAPP(hAPP(c_member(_u7595), _u7596), hAPP(hAPP(c_Set_Oinsert(_u7595), _u7598), _u7597))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7599), _u7600), _u7601)) | ( hAPP(hAPP(c_Set_Oinsert(_u7599), _u7600), _u7601) = _u7601) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7602, tc_HOL_Obool)), _u7603), _u7604)) | ~hBOOL(hAPP(hAPP(c_member(_u7602), _u7605), _u7603)) | hBOOL(hAPP(hAPP(c_member(_u7602), _u7605), _u7604)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7606), _u7607), _u7608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7606, tc_HOL_Obool)), _u7608), _u7609)) | hBOOL(hAPP(hAPP(c_member(_u7606), _u7607), _u7609)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7610, tc_HOL_Obool)), _u7611), _u7612)) | ~hBOOL(hAPP(hAPP(c_member(_u7610), _u7613), _u7611)) | hBOOL(hAPP(hAPP(c_member(_u7610), _u7613), _u7612)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7617), _u7619), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7617, tc_HOL_Obool)), _u7621))) | ~hBOOL(hAPP(hAPP(c_member(_u7617), _u7619), _u7621)) )).
% 13.05/13.25 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7618), _u7620), _u7622)) | hBOOL(hAPP(hAPP(c_member(_u7618), _u7620), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7618, tc_HOL_Obool)), _u7622))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7623), _u7624), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7623, tc_HOL_Obool)), _u7625))) | ~hBOOL(hAPP(hAPP(c_member(_u7623), _u7624), _u7625)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7626), _u7627), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7626, tc_HOL_Obool)), _u7628))) | ~hBOOL(hAPP(hAPP(c_member(_u7626), _u7627), _u7628)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7633, tc_HOL_Obool)), _u7637), _u7639))) | hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), _u7637)) )).
% 13.05/13.25 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7633, tc_HOL_Obool)), _u7637), _u7639))) | ~hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), _u7639)) )).
% 13.05/13.25 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7634), _u7636), _u7638)) | hBOOL(hAPP(hAPP(c_member(_u7634), _u7636), _u7640)) | hBOOL(hAPP(hAPP(c_member(_u7634), _u7636), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7638), _u7640))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7641), _u7642), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7641, tc_HOL_Obool)), _u7643), _u7644))) | hBOOL(hAPP(hAPP(c_member(_u7641), _u7642), _u7643)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7645), _u7646), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7645, tc_HOL_Obool)), _u7647), _u7648))) | ~hBOOL(hAPP(hAPP(c_member(_u7645), _u7646), _u7648)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u7656, _u7654)) | ~hBOOL(hAPP(hAPP(c_member(_u7652), _u7654), _u7656)) )).
% 13.05/13.25 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u7657, _u7655)) | hBOOL(hAPP(hAPP(c_member(_u7653), _u7655), _u7657)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u7658 != _u7659) | ~hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7658)) | hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7659)) )).
% 13.05/13.25 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u7658 != _u7659) | ~hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7659)) | hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7658)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u7662 != _u7663) | ~hBOOL(hAPP(hAPP(c_member(_u7664), _u7662), _u7665)) | hBOOL(hAPP(hAPP(c_member(_u7664), _u7663), _u7665)) )).
% 13.05/13.25 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u7662 != _u7663) | ~hBOOL(hAPP(hAPP(c_member(_u7664), _u7663), _u7665)) | hBOOL(hAPP(hAPP(c_member(_u7664), _u7662), _u7665)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_eq__mem__trans-1, axiom, ( ( _u7666 != _u7667) | ~hBOOL(hAPP(hAPP(c_member(_u7668), _u7667), _u7669)) | hBOOL(hAPP(hAPP(c_member(_u7668), _u7666), _u7669)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pred__equals__eq-1, axiom, ( ( _u7675 = _u7677) | ( hAPP(hAPP(c_COMBC(_u7673, tc_fun(_u7673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7673)), _u7675) != hAPP(hAPP(c_COMBC(_u7673, tc_fun(_u7673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7673)), _u7677)) )).
% 13.05/13.25 cnf(fact_pred__equals__eq-2, axiom, ( ( _u7676 != _u7678) | ( hAPP(hAPP(c_COMBC(_u7674, tc_fun(_u7674, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7674)), _u7676) = hAPP(hAPP(c_COMBC(_u7674, tc_fun(_u7674, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7674)), _u7678)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_eq__mem-1, axiom, ( ( _u7684 = _u7686) | ~hBOOL(hAPP(hAPP(c_member(_u7682), _u7684), hAPP(c_fequal, _u7686))) )).
% 13.05/13.25 cnf(fact_eq__mem-2, axiom, ( ( _u7685 != _u7687) | hBOOL(hAPP(hAPP(c_member(_u7683), _u7685), hAPP(c_fequal, _u7687))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7688, tc_HOL_Obool)), _u7689), _u7690)) | ~hBOOL(hAPP(hAPP(c_member(_u7688), _u7691), _u7689)) | hBOOL(hAPP(hAPP(c_member(_u7688), _u7691), _u7690)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7694, tc_HOL_Obool)), _u7696)) | hBOOL(hAPP(hAPP(c_member(_u7694), _u7696), c_Orderings_Obot__class_Obot(tc_fun(_u7694, tc_HOL_Obool)))) )).
% 13.05/13.25 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7695), _u7697), c_Orderings_Obot__class_Obot(tc_fun(_u7695, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7695, tc_HOL_Obool)), _u7697)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u7706 = _u7708) | ( hAPP(hAPP(c_COMBC(_u7702, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), _u7702), c_COMBC(_u7704, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_prod(_u7702, _u7704)), tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), _u7702), hAPP(c_COMBB(tc_prod(_u7702, _u7704), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool), _u7704), c_member(tc_prod(_u7702, _u7704)))), c_Product__Type_OPair(_u7702, _u7704)))), _u7706) != hAPP(hAPP(c_COMBC(_u7702, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), _u7702), c_COMBC(_u7704, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_prod(_u7702, _u7704)), tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), _u7702), hAPP(c_COMBB(tc_prod(_u7702, _u7704), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool), _u7704), c_member(tc_prod(_u7702, _u7704)))), c_Product__Type_OPair(_u7702, _u7704)))), _u7708)) )).
% 13.05/13.25 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u7707 != _u7709) | ( hAPP(hAPP(c_COMBC(_u7703, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), _u7703), c_COMBC(_u7705, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_prod(_u7703, _u7705)), tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), _u7703), hAPP(c_COMBB(tc_prod(_u7703, _u7705), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool), _u7705), c_member(tc_prod(_u7703, _u7705)))), c_Product__Type_OPair(_u7703, _u7705)))), _u7707) = hAPP(hAPP(c_COMBC(_u7703, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), _u7703), c_COMBC(_u7705, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_prod(_u7703, _u7705)), tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), _u7703), hAPP(c_COMBB(tc_prod(_u7703, _u7705), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool), _u7705), c_member(tc_prod(_u7703, _u7705)))), c_Product__Type_OPair(_u7703, _u7705)))), _u7709)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7714, tc_fun(_u7716, tc_HOL_Obool))), _u7718), _u7720)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7714, _u7716)), hAPP(hAPP(c_Product__Type_OPair(_u7714, _u7716), _u7718), _u7720)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7714, _u7716), tc_HOL_Obool)))) )).
% 13.05/13.25 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7715, _u7717)), hAPP(hAPP(c_Product__Type_OPair(_u7715, _u7717), _u7719), _u7721)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7715, _u7717), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7715, tc_fun(_u7717, tc_HOL_Obool))), _u7719), _u7721)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7725, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7725, tc_fun(_u7725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7725)), _u7727)), hAPP(hAPP(c_COMBC(_u7725, tc_fun(_u7725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7725)), _u7729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7725, tc_HOL_Obool)), _u7727), _u7729)) )).
% 13.05/13.25 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7726, tc_HOL_Obool)), _u7728), _u7730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7726, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7726, tc_fun(_u7726, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7726)), _u7728)), hAPP(hAPP(c_COMBC(_u7726, tc_fun(_u7726, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7726)), _u7730))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_singleton__iff-1, axiom, ( ( _u7736 = _u7738) | ~hBOOL(hAPP(hAPP(c_member(_u7734), _u7736), hAPP(hAPP(c_Set_Oinsert(_u7734), _u7738), c_Orderings_Obot__class_Obot(tc_fun(_u7734, tc_HOL_Obool))))) )).
% 13.05/13.25 cnf(fact_singleton__iff-2, axiom, ( ( _u7737 != _u7739) | hBOOL(hAPP(hAPP(c_member(_u7735), _u7737), hAPP(hAPP(c_Set_Oinsert(_u7735), _u7739), c_Orderings_Obot__class_Obot(tc_fun(_u7735, tc_HOL_Obool))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_singletonE-1, axiom, ( ( _u7741 = _u7742) | ~hBOOL(hAPP(hAPP(c_member(_u7740), _u7741), hAPP(hAPP(c_Set_Oinsert(_u7740), _u7742), c_Orderings_Obot__class_Obot(tc_fun(_u7740, tc_HOL_Obool))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7747, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7747), _u7749), _u7751)), _u7753)) | hBOOL(hAPP(hAPP(c_member(_u7747), _u7749), _u7753)) )).
% 13.05/13.25 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7747, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7747), _u7749), _u7751)), _u7753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7747, tc_HOL_Obool)), _u7751), _u7753)) )).
% 13.05/13.25 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7748), _u7750), _u7754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7748, tc_HOL_Obool)), _u7752), _u7754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7748, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7748), _u7750), _u7752)), _u7754)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7755), _u7756), _u7757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), hAPP(hAPP(c_Set_Oinsert(_u7755), _u7756), _u7758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), _u7758)) )).
% 13.05/13.25 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7755), _u7756), _u7757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), _u7758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), hAPP(hAPP(c_Set_Oinsert(_u7755), _u7756), _u7758))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7763), _u7765), _u7767)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7763, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7763), _u7765), _u7769)), _u7767) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7763, tc_HOL_Obool)), _u7769), _u7767)) )).
% 13.05/13.25 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7764), _u7766), _u7768)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7764, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7764), _u7766), _u7770)), _u7768) = hAPP(hAPP(c_Set_Oinsert(_u7764), _u7766), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7764, tc_HOL_Obool)), _u7770), _u7768))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7771), _u7772), _u7773)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7771, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7771), _u7772), _u7774)), _u7773) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7771, tc_HOL_Obool)), _u7774), _u7773)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_elem__set ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_elem__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7778), _u7780), c_Option_Oset(_u7778, _u7782))) | ( _u7782 = hAPP(c_Option_Ooption_OSome(_u7778), _u7780)) )).
% 13.05/13.25 cnf(fact_elem__set-2, axiom, ( ( _u7783 != hAPP(c_Option_Ooption_OSome(_u7779), _u7781)) | hBOOL(hAPP(hAPP(c_member(_u7779), _u7781), c_Option_Oset(_u7779, _u7783))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7788, tc_fun(_u7790, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7788, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), _u7788), c_COMBC(_u7790, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_prod(_u7788, _u7790)), tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), _u7788), hAPP(c_COMBB(tc_prod(_u7788, _u7790), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool), _u7790), c_member(tc_prod(_u7788, _u7790)))), c_Product__Type_OPair(_u7788, _u7790)))), _u7792)), hAPP(hAPP(c_COMBC(_u7788, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), _u7788), c_COMBC(_u7790, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_prod(_u7788, _u7790)), tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), _u7788), hAPP(c_COMBB(tc_prod(_u7788, _u7790), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool), _u7790), c_member(tc_prod(_u7788, _u7790)))), c_Product__Type_OPair(_u7788, _u7790)))), _u7794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool)), _u7792), _u7794)) )).
% 13.05/13.25 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool)), _u7793), _u7795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7789, tc_fun(_u7791, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7789, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), _u7789), c_COMBC(_u7791, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_prod(_u7789, _u7791)), tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), _u7789), hAPP(c_COMBB(tc_prod(_u7789, _u7791), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool), _u7791), c_member(tc_prod(_u7789, _u7791)))), c_Product__Type_OPair(_u7789, _u7791)))), _u7793)), hAPP(hAPP(c_COMBC(_u7789, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), _u7789), c_COMBC(_u7791, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_prod(_u7789, _u7791)), tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), _u7789), hAPP(c_COMBB(tc_prod(_u7789, _u7791), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool), _u7791), c_member(tc_prod(_u7789, _u7791)))), c_Product__Type_OPair(_u7789, _u7791)))), _u7795))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7796), _u7797), _u7798)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7796, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7796), _u7797), _u7798)), hAPP(hAPP(c_Set_Oinsert(_u7796), _u7797), c_Orderings_Obot__class_Obot(tc_fun(_u7796, tc_HOL_Obool)))) = _u7798) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7799), _u7800), _u7801)) | ( hAPP(hAPP(c_Set_Oinsert(_u7799), _u7800), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7799, tc_HOL_Obool)), _u7801), hAPP(hAPP(c_Set_Oinsert(_u7799), _u7800), c_Orderings_Obot__class_Obot(tc_fun(_u7799, tc_HOL_Obool))))) = _u7801) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7802, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7802, tc_HOL_Obool)), _u7803), hAPP(hAPP(c_Set_Oinsert(_u7802), _u7804), c_Orderings_Obot__class_Obot(tc_fun(_u7802, tc_HOL_Obool))))), _u7805)) | ~hBOOL(hAPP(hAPP(c_member(_u7802), _u7804), _u7803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7802, tc_HOL_Obool)), _u7803), hAPP(hAPP(c_Set_Oinsert(_u7802), _u7804), _u7805))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), _u7812), hAPP(hAPP(c_Set_Oinsert(_u7810), _u7814), _u7816))) | ~hBOOL(hAPP(hAPP(c_member(_u7810), _u7814), _u7812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7810, tc_HOL_Obool)), _u7812), hAPP(hAPP(c_Set_Oinsert(_u7810), _u7814), c_Orderings_Obot__class_Obot(tc_fun(_u7810, tc_HOL_Obool))))), _u7816)) )).
% 13.05/13.25 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), _u7812), hAPP(hAPP(c_Set_Oinsert(_u7810), _u7814), _u7816))) | hBOOL(hAPP(hAPP(c_member(_u7810), _u7814), _u7812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), _u7812), _u7816)) )).
% 13.05/13.25 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), _u7817))) | hBOOL(hAPP(hAPP(c_member(_u7811), _u7815), _u7813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), _u7817)) )).
% 13.05/13.25 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), _u7817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), c_Orderings_Obot__class_Obot(tc_fun(_u7811, tc_HOL_Obool))))), _u7817)) | ~hBOOL(hAPP(hAPP(c_member(_u7811), _u7815), _u7813)) )).
% 13.05/13.25 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), _u7817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), c_Orderings_Obot__class_Obot(tc_fun(_u7811, tc_HOL_Obool))))), _u7817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), _u7817)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7823, _u7825, _u7827), _u7829), _u7831)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7823, _u7825)), hAPP(hAPP(c_Product__Type_OPair(_u7823, _u7825), _u7829), _u7831)), _u7827)) )).
% 13.05/13.25 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7824, _u7826)), hAPP(hAPP(c_Product__Type_OPair(_u7824, _u7826), _u7830), _u7832)), _u7828)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7824, _u7826, _u7828), _u7830), _u7832)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7833), _u7834), _u7835)) | ~c_Nitpick_Ofold__graph_H(_u7833, _u7836, _u7837, _u7838, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7833, tc_HOL_Obool)), _u7835), hAPP(hAPP(c_Set_Oinsert(_u7833), _u7834), c_Orderings_Obot__class_Obot(tc_fun(_u7833, tc_HOL_Obool)))), _u7839) | c_Nitpick_Ofold__graph_H(_u7833, _u7836, _u7837, _u7838, _u7835, hAPP(hAPP(_u7837, _u7834), _u7839)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u7844, _u7846) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7844, _u7844)), hAPP(hAPP(c_Product__Type_OPair(_u7844, _u7844), _u7840), _u7840)), _u7846)) )).
% 13.05/13.25 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7845, _u7845)), hAPP(hAPP(c_Product__Type_OPair(_u7845, _u7845), skolem114(_u7847, _u7845)), skolem114(_u7847, _u7845))), _u7847)) | c_Nitpick_Orefl_H(_u7845, _u7847) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7851, tc_HOL_Obool)), _u7853), hAPP(hAPP(c_Set_Oinsert(_u7851), _u7855), c_Orderings_Obot__class_Obot(tc_fun(_u7851, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u7851, _u7855, _u7853) = _u7855) )).
% 13.05/13.25 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7852, tc_HOL_Obool)), _u7854), hAPP(hAPP(c_Set_Oinsert(_u7852), _u7856), c_Orderings_Obot__class_Obot(tc_fun(_u7852, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u7852, _u7856, _u7854) = c_HOL_OThe(_u7852, hAPP(hAPP(c_COMBC(_u7852, tc_fun(_u7852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7852)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7852, tc_HOL_Obool)), _u7854), hAPP(hAPP(c_Set_Oinsert(_u7852), _u7856), c_Orderings_Obot__class_Obot(tc_fun(_u7852, tc_HOL_Obool))))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7857, tc_fun(_u7858, tc_HOL_Obool))), _u7859), _u7860)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__by__empty-1, axiom, ( ( _u7861 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7862, _u7862), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7862, _u7862), tc_HOL_Obool)), _u7861), _u7863)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u7864, _u7865, _u7866, _u7867, c_Orderings_Obot__class_Obot(tc_fun(_u7864, tc_HOL_Obool)), _u7867) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u7868, _u7869, _u7870, _u7871, c_Orderings_Obot__class_Obot(tc_fun(_u7868, tc_HOL_Obool)), _u7871) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7882, _u7878)), hAPP(_u7882, _u7880))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7876, _u7876)), hAPP(hAPP(c_Product__Type_OPair(_u7876, _u7876), _u7878), _u7880)), hAPP(c_Wellfounded_Omeasure(_u7876), _u7882))) )).
% 13.05/13.25 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7883, _u7879)), hAPP(_u7883, _u7881))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7877, _u7877)), hAPP(hAPP(c_Product__Type_OPair(_u7877, _u7877), _u7879), _u7881)), hAPP(c_Wellfounded_Omeasure(_u7877), _u7883))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7884, _u7885)), hAPP(_u7884, _u7886))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7887, _u7887)), hAPP(hAPP(c_Product__Type_OPair(_u7887, _u7887), _u7885), _u7886)), _u7888)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7887, _u7887)), hAPP(hAPP(c_Product__Type_OPair(_u7887, _u7887), _u7885), _u7886)), c_Wellfounded_Omlex__prod(_u7887, _u7884, _u7888))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7889, _u7890)), hAPP(_u7889, _u7891))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7892, _u7892)), hAPP(hAPP(c_Product__Type_OPair(_u7892, _u7892), _u7890), _u7891)), c_Wellfounded_Omlex__prod(_u7892, _u7889, _u7893))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u7894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7895)) | hBOOL(hAPP(hAPP(c_member(_u7894), hAPP(c_Int_Onumber__class_Onumber__of(_u7894), _u7895)), c_Nat_Osemiring__1__class_ONats(_u7894))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u7896) | hBOOL(hAPP(hAPP(c_member(_u7896), c_Groups_Ozero__class_Ozero(_u7896)), c_Nat_Osemiring__1__class_ONats(_u7896))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u7897) | ~hBOOL(hAPP(hAPP(c_member(_u7897), _u7898), c_Nat_Osemiring__1__class_ONats(_u7897))) | ~hBOOL(hAPP(hAPP(c_member(_u7897), _u7899), c_Nat_Osemiring__1__class_ONats(_u7897))) | hBOOL(hAPP(hAPP(c_member(_u7897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7897), _u7898), _u7899)), c_Nat_Osemiring__1__class_ONats(_u7897))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u7900) | ~hBOOL(hAPP(hAPP(c_member(_u7900), _u7901), c_Nat_Osemiring__1__class_ONats(_u7900))) | ~hBOOL(hAPP(hAPP(c_member(_u7900), _u7902), c_Nat_Osemiring__1__class_ONats(_u7900))) | hBOOL(hAPP(hAPP(c_member(_u7900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7900), _u7901), _u7902)), c_Nat_Osemiring__1__class_ONats(_u7900))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u7903) | hBOOL(hAPP(hAPP(c_member(_u7903), c_Groups_Oone__class_Oone(_u7903)), c_Nat_Osemiring__1__class_ONats(_u7903))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u7904) | hBOOL(hAPP(hAPP(c_member(_u7904), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7904), _u7905)), c_Nat_Osemiring__1__class_ONats(_u7904))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u7906) | ~hBOOL(hAPP(hAPP(c_member(_u7906), _u7907), c_Int_Oring__1__class_OInts(_u7906))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), c_Groups_Oone__class_Oone(_u7906)), _u7907)), _u7907)), c_Groups_Ozero__class_Ozero(_u7906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), _u7907), c_Groups_Ozero__class_Ozero(_u7906))) )).
% 13.05/13.25 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u7906) | ~hBOOL(hAPP(hAPP(c_member(_u7906), _u7907), c_Int_Oring__1__class_OInts(_u7906))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), _u7907), c_Groups_Ozero__class_Ozero(_u7906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), c_Groups_Oone__class_Oone(_u7906)), _u7907)), _u7907)), c_Groups_Ozero__class_Ozero(_u7906))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( _u7927 = c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), _u7927)) )).
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( _u7927 = c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool))) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = hAPP(hAPP(_u7923, skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919))) )).
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( _u7927 = c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7919, tc_HOL_Obool)), _u7927), hAPP(hAPP(c_Set_Oinsert(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool)))), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)) )).
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = _u7925) | hBOOL(hAPP(hAPP(c_member(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), _u7927)) )).
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = _u7925) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = hAPP(hAPP(_u7923, skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919))) )).
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = _u7925) | c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7919, tc_HOL_Obool)), _u7927), hAPP(hAPP(c_Set_Oinsert(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool)))), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)) )).
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u7920, _u7922, _u7924, _u7926, _u7928, hAPP(hAPP(_u7924, _u7930), _u7932)) | ( _u7928 != c_Orderings_Obot__class_Obot(tc_fun(_u7920, tc_HOL_Obool))) | ( hAPP(hAPP(_u7924, _u7930), _u7932) != _u7926) )).
% 13.05/13.25 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u7920, _u7922, _u7924, _u7926, _u7928, hAPP(hAPP(_u7924, _u7930), _u7932)) | ~hBOOL(hAPP(hAPP(c_member(_u7920), _u7911), _u7928)) | ( hAPP(hAPP(_u7924, _u7930), _u7932) != hAPP(hAPP(_u7924, _u7911), _u7910)) | ~c_Nitpick_Ofold__graph_H(_u7920, _u7922, _u7924, _u7926, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7920, tc_HOL_Obool)), _u7928), hAPP(hAPP(c_Set_Oinsert(_u7920), _u7911), c_Orderings_Obot__class_Obot(tc_fun(_u7920, tc_HOL_Obool)))), _u7910) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7945), _u7947)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7949), _u7951))), c_Wellfounded_Olex__prod(_u7941, _u7943, _u7953, _u7955))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7941, _u7941)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7941), _u7945), _u7949)), _u7953)) | ( _u7945 = _u7949) )).
% 13.05/13.25 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7945), _u7947)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7949), _u7951))), c_Wellfounded_Olex__prod(_u7941, _u7943, _u7953, _u7955))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7941, _u7941)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7941), _u7945), _u7949)), _u7953)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7943, _u7943)), hAPP(hAPP(c_Product__Type_OPair(_u7943, _u7943), _u7947), _u7951)), _u7955)) )).
% 13.05/13.25 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7946), _u7948)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7950), _u7952))), c_Wellfounded_Olex__prod(_u7942, _u7944, _u7954, _u7956))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7942, _u7942)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7942), _u7946), _u7950)), _u7954)) )).
% 13.05/13.25 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7946), _u7948)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7950), _u7952))), c_Wellfounded_Olex__prod(_u7942, _u7944, _u7954, _u7956))) | ( _u7946 != _u7950) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7944, _u7944)), hAPP(hAPP(c_Product__Type_OPair(_u7944, _u7944), _u7948), _u7952)), _u7956)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7957), _u7958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7959), _u7960)) | 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), _u7957), _u7959)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7958), _u7960))), c_FunDef_Opair__less)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u7961) | hBOOL(hAPP(hAPP(c_member(_u7961), c_Groups_Ozero__class_Ozero(_u7961)), c_Int_Oring__1__class_OInts(_u7961))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u7962) | ~hBOOL(hAPP(hAPP(c_member(_u7962), _u7963), c_Int_Oring__1__class_OInts(_u7962))) | ~hBOOL(hAPP(hAPP(c_member(_u7962), _u7964), c_Int_Oring__1__class_OInts(_u7962))) | hBOOL(hAPP(hAPP(c_member(_u7962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7962), _u7963), _u7964)), c_Int_Oring__1__class_OInts(_u7962))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u7965) | ~hBOOL(hAPP(hAPP(c_member(_u7965), _u7966), c_Int_Oring__1__class_OInts(_u7965))) | ~hBOOL(hAPP(hAPP(c_member(_u7965), _u7967), c_Int_Oring__1__class_OInts(_u7965))) | hBOOL(hAPP(hAPP(c_member(_u7965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7965), _u7966), _u7967)), c_Int_Oring__1__class_OInts(_u7965))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u7968) | ~hBOOL(hAPP(hAPP(c_member(_u7968), _u7969), c_Int_Oring__1__class_OInts(_u7968))) | ~hBOOL(hAPP(hAPP(c_member(_u7968), _u7970), c_Int_Oring__1__class_OInts(_u7968))) | hBOOL(hAPP(hAPP(c_member(_u7968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7968), _u7969), _u7970)), c_Int_Oring__1__class_OInts(_u7968))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u7971) | hBOOL(hAPP(hAPP(c_member(_u7971), hAPP(c_Int_Onumber__class_Onumber__of(_u7971), _u7972)), c_Int_Oring__1__class_OInts(_u7971))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u7973) | hBOOL(hAPP(hAPP(c_member(_u7973), c_Groups_Oone__class_Oone(_u7973)), c_Int_Oring__1__class_OInts(_u7973))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u7974) | ~hBOOL(hAPP(hAPP(c_member(_u7974), _u7975), c_Int_Oring__1__class_OInts(_u7974))) | hBOOL(hAPP(hAPP(c_member(_u7974), hAPP(c_Groups_Ouminus__class_Ouminus(_u7974), _u7975)), c_Int_Oring__1__class_OInts(_u7974))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u7976) | ~hBOOL(hAPP(hAPP(c_member(_u7976), _u7977), c_Int_Oring__1__class_OInts(_u7976))) | hBOOL(hAPP(hAPP(c_member(_u7976), hAPP(hAPP(c_Power_Opower__class_Opower(_u7976), _u7977), _u7978)), c_Int_Oring__1__class_OInts(_u7976))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u7979) | hBOOL(hAPP(hAPP(c_member(_u7979), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7979), _u7980)), c_Int_Oring__1__class_OInts(_u7979))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u7981) | hBOOL(hAPP(hAPP(c_member(_u7981), hAPP(c_Int_Oring__1__class_Oof__int(_u7981), _u7982)), c_Int_Oring__1__class_OInts(_u7981))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7983) | ~hBOOL(hAPP(hAPP(c_member(_u7983), _u7984), c_Int_Oring__1__class_OInts(_u7983))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7983), _u7984), _u7984) != c_Groups_Ozero__class_Ozero(_u7983)) | ( _u7984 = c_Groups_Ozero__class_Ozero(_u7983)) )).
% 13.05/13.25 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7983) | ~hBOOL(hAPP(hAPP(c_member(_u7983), _u7984), c_Int_Oring__1__class_OInts(_u7983))) | ( _u7984 != c_Groups_Ozero__class_Ozero(_u7983)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7983), _u7984), _u7984) = c_Groups_Ozero__class_Ozero(_u7983)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7985), _u7986)) | 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), _u7985), _u7987)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7986), _u7988))), c_FunDef_Opair__less)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u7989) | ~hBOOL(hAPP(hAPP(c_member(_u7989), _u7990), c_Int_Oring__1__class_OInts(_u7989))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7989), c_Groups_Oone__class_Oone(_u7989)), _u7990)), _u7990) != c_Groups_Ozero__class_Ozero(_u7989)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u7991, _u7992)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7993, _u7993)), hAPP(hAPP(c_Product__Type_OPair(_u7993, _u7993), _u7994), _u7995)), hAPP(_u7996, _u7992))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7997, _u7993), tc_prod(_u7997, _u7993))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7997, _u7993), tc_prod(_u7997, _u7993)), hAPP(hAPP(c_Product__Type_OPair(_u7997, _u7993), _u7992), _u7994)), hAPP(hAPP(c_Product__Type_OPair(_u7997, _u7993), _u7992), _u7995))), c_Recdef_Osame__fst(_u7997, _u7993, _u7991, _u7996))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7998), _u7999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8000), _u8001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7998), _u8000)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7999), _u8001))), c_FunDef_Opair__leq)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8002), _u8003)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8004), _u8002)), 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)), _u8005), _u8003)), 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)), _u8004), _u8005)), _u8003)), c_FunDef_Omax__strict)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8006), _u8007)) | ~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)), _u8006), _u8008)), 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)), _u8007), _u8009)), 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)), _u8007), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8008), _u8009))), c_FunDef_Omin__strict)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_smin__emptyI-1, axiom, ( ( _u8010 = 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)), _u8010), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8011), _u8012)) | 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), _u8011), _u8013)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8012), _u8014))), c_FunDef_Opair__leq)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8015), _u8016)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8015), _u8017)), 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)), _u8016), _u8018)), 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)), _u8016), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8017), _u8018))), c_FunDef_Omin__weak)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8019), _u8020)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8021), _u8019)), 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)), _u8022), _u8020)), 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)), _u8021), _u8022)), _u8020)), c_FunDef_Omax__weak)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 13.05/13.25 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)), _u8023), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 13.05/13.25 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)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 13.05/13.25 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))))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 13.05/13.25 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)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 13.05/13.25 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)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 13.05/13.25 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), _u8026), _u8028)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8026), _u8028)) )).
% 13.05/13.25 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8027), _u8029)) | 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), _u8027), _u8029)), c_Wellfounded_Oless__than)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u8031, _u8033)) | hBOOL(hAPP(_u8032, _u8033)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8030, tc_HOL_Obool)), _u8031), _u8032), _u8033)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8037, tc_HOL_Obool)), _u8036), _u8034), _u8035)) | ~hBOOL(hAPP(_u8034, _u8035)) )).
% 13.05/13.25 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8037, tc_HOL_Obool)), _u8036), _u8034), _u8035)) | ~hBOOL(hAPP(_u8036, _u8035)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8038, tc_HOL_Obool)), _u8041), _u8040))) | ~hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), _u8040)) )).
% 13.05/13.25 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8038, tc_HOL_Obool)), _u8041), _u8040))) | ~hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), _u8041)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_UnE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8042), _u8043), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8042, tc_HOL_Obool)), _u8044), _u8045))) | hBOOL(hAPP(hAPP(c_member(_u8042), _u8043), _u8044)) | hBOOL(hAPP(hAPP(c_member(_u8042), _u8043), _u8045)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8049, tc_HOL_Obool)), _u8051), _u8053) != c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) | ( _u8051 = c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) )).
% 13.05/13.25 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8049, tc_HOL_Obool)), _u8051), _u8053) != c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) | ( _u8053 = c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) )).
% 13.05/13.25 cnf(fact_Un__empty-3, axiom, ( ( _u8052 != c_Orderings_Obot__class_Obot(tc_fun(_u8050, tc_HOL_Obool))) | ( _u8054 != c_Orderings_Obot__class_Obot(tc_fun(_u8050, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8050, tc_HOL_Obool)), _u8052), _u8054) = c_Orderings_Obot__class_Obot(tc_fun(_u8050, tc_HOL_Obool))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8056), c_Orderings_Obot__class_Obot(tc_fun(_u8055, tc_HOL_Obool))) = _u8056) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8057, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8057, tc_HOL_Obool))), _u8058) = _u8058) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8059), _u8060), _u8061) != c_Orderings_Obot__class_Obot(_u8059)) | ( _u8060 = c_Orderings_Obot__class_Obot(_u8059)) )).
% 13.05/13.25 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8059), _u8060), _u8061) != c_Orderings_Obot__class_Obot(_u8059)) | ( _u8061 = c_Orderings_Obot__class_Obot(_u8059)) )).
% 13.05/13.25 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8059) | ( _u8060 != c_Orderings_Obot__class_Obot(_u8059)) | ( _u8061 != c_Orderings_Obot__class_Obot(_u8059)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8059), _u8060), _u8061) = c_Orderings_Obot__class_Obot(_u8059)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8062) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8062), _u8063), c_Orderings_Obot__class_Obot(_u8062)) = _u8063) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8064) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8064), c_Orderings_Obot__class_Obot(_u8064)), _u8065) = _u8065) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8066, tc_HOL_Obool)), _u8067), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8066, tc_HOL_Obool)), _u8067), _u8068))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8069, tc_HOL_Obool)), _u8070), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8069, tc_HOL_Obool)), _u8071), _u8070))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8075, tc_HOL_Obool)), _u8077), _u8079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8075, tc_HOL_Obool)), _u8077), _u8079) = _u8079) )).
% 13.05/13.25 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8076, tc_HOL_Obool)), _u8078), _u8080) != _u8080) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8076, tc_HOL_Obool)), _u8078), _u8080)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8081, tc_HOL_Obool)), _u8082), _u8083)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8081, tc_HOL_Obool)), _u8082), _u8083) = _u8083) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8084, tc_HOL_Obool)), _u8085), _u8086)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8084, tc_HOL_Obool)), _u8086), _u8085) = _u8086) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8087, tc_HOL_Obool)), _u8088), _u8089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8087, tc_HOL_Obool)), _u8090), _u8089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8087, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8087, tc_HOL_Obool)), _u8088), _u8090)), _u8089)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8091, tc_HOL_Obool)), _u8092), _u8093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8091, tc_HOL_Obool)), _u8094), _u8095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8091, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8091, tc_HOL_Obool)), _u8092), _u8094)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8091, tc_HOL_Obool)), _u8093), _u8095))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u8096) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8096), _u8097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8096), _u8097), _u8098))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), _u8100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8099), _u8100), _u8101))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u8102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8102), _u8103), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8102), _u8104), _u8103))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8105) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8105), _u8106), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8105), _u8107), _u8106))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8108), _u8109), _u8110)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8108), _u8109), _u8110) = _u8110) )).
% 13.05/13.25 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8108) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8108), _u8109), _u8110) != _u8110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8108), _u8109), _u8110)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), _u8112), _u8113)), _u8114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8112), _u8114)) )).
% 13.05/13.25 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), _u8112), _u8113)), _u8114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8113), _u8114)) )).
% 13.05/13.25 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8112), _u8114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8113), _u8114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), _u8112), _u8113)), _u8114)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8115), _u8116), _u8117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8115), _u8116), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8115), _u8117), _u8118))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8119), _u8120), _u8121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8119), _u8120), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8119), _u8122), _u8121))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), _u8124), _u8125)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8123), _u8124), _u8125) = _u8125) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8126), _u8127), _u8128)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8126), _u8128), _u8127) = _u8128) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), _u8130), _u8131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), _u8132), _u8131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8129), _u8130), _u8132)), _u8131)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8133), _u8134), _u8135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8133), _u8136), _u8135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8133), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8133), _u8134), _u8136)), _u8135)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8137), _u8138), _u8139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8137), _u8140), _u8141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8137), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8137), _u8138), _u8140)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8137), _u8139), _u8141))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8142), _u8143), _u8144)), _u8145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), _u8143), _u8145)) )).
% 13.05/13.25 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u8142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8142), _u8143), _u8144)), _u8145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), _u8144), _u8145)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8147), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8146, tc_HOL_Obool)), _u8148), _u8147)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8147), _u8148)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8149, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8149, tc_HOL_Obool)), _u8150), _u8151)), _u8151) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8149, tc_HOL_Obool)), _u8150), _u8151)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8152, tc_HOL_Obool)), _u8153), _u8154)), _u8155) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8152, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8152, tc_HOL_Obool)), _u8153), _u8155)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8152, tc_HOL_Obool)), _u8154), _u8155))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8156) | ~class_Orderings_Olinorder(_u8156) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8156) = c_Orderings_Oord__class_Omax(_u8156)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u8157) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8157), _u8158), _u8158) = _u8158) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8159), _u8160), _u8161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8159), _u8160), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8161), _u8162))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8163), _u8164), _u8165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8163), _u8164), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8163), _u8166), _u8165))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8167) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8167), _u8168), _u8168) = _u8168) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8169) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8169), _u8170), _u8170) = _u8170) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8171) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8172), _u8173) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8173), _u8172)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u8174) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8175), _u8176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8176), _u8175)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8177) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8177), _u8178), _u8179) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8177), _u8179), _u8178)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8180) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8180), _u8181), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8180), _u8181), _u8182)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8180), _u8181), _u8182)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u8183) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8183), _u8184), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8183), _u8184), _u8185)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8183), _u8184), _u8185)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8186) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8186), _u8187), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8186), _u8187), _u8188)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8186), _u8187), _u8188)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8189) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8190), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8191), _u8192)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8191), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8190), _u8192))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u8193) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8194), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8195), _u8196)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8195), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8194), _u8196))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8197) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8199), _u8200)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8199), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8198), _u8200))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8201) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), _u8202), _u8203)), _u8204) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), _u8202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), _u8203), _u8204))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u8205) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), _u8206), _u8207)), _u8208) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), _u8206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), _u8207), _u8208))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8209) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), _u8210), _u8211)), _u8212) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), _u8210), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), _u8211), _u8212))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u8213) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8214, _u8213)), _u8215), _u8216), _u8217) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8213), hAPP(_u8215, _u8217)), hAPP(_u8216, _u8217))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8218, tc_HOL_Obool)), _u8219), _u8219) = _u8219) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8220, tc_HOL_Obool)), _u8221), _u8222) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8221)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8223, tc_HOL_Obool)), _u8224), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8223, tc_HOL_Obool)), _u8224), _u8225)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8223, tc_HOL_Obool)), _u8224), _u8225)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8227), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8228), _u8229)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8228), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8227), _u8229))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), _u8231), _u8232)), _u8233) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), _u8231), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), _u8232), _u8233))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem117(_u8250, _u8248, _u8246, _u8244)), _u8246)) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem118(_u8250, _u8248, _u8246, _u8244)), _u8248)) )).
% 13.05/13.25 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem117(_u8250, _u8248, _u8246, _u8244)), _u8246)) | hBOOL(hAPP(_u8250, skolem118(_u8250, _u8248, _u8246, _u8244))) )).
% 13.05/13.25 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(_u8250, skolem117(_u8250, _u8248, _u8246, _u8244))) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem118(_u8250, _u8248, _u8246, _u8244)), _u8248)) )).
% 13.05/13.25 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(_u8250, skolem117(_u8250, _u8248, _u8246, _u8244))) | hBOOL(hAPP(_u8250, skolem118(_u8250, _u8248, _u8246, _u8244))) )).
% 13.05/13.25 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8237), _u8247)) | ~hBOOL(hAPP(_u8251, _u8237)) | hBOOL(hAPP(hAPP(c_member(_u8245), skolem119(_u8251, _u8249, _u8247, _u8245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8245, tc_HOL_Obool)), _u8247), _u8249))) )).
% 13.05/13.25 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8237), _u8247)) | ~hBOOL(hAPP(_u8251, _u8237)) | hBOOL(hAPP(_u8251, skolem119(_u8251, _u8249, _u8247, _u8245))) )).
% 13.05/13.25 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8238), _u8249)) | ~hBOOL(hAPP(_u8251, _u8238)) | hBOOL(hAPP(hAPP(c_member(_u8245), skolem119(_u8251, _u8249, _u8247, _u8245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8245, tc_HOL_Obool)), _u8247), _u8249))) )).
% 13.05/13.25 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8238), _u8249)) | ~hBOOL(hAPP(_u8251, _u8238)) | hBOOL(hAPP(_u8251, skolem119(_u8251, _u8249, _u8247, _u8245))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8262), skolem120(_u8268, _u8266, _u8264, _u8262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8262, tc_HOL_Obool)), _u8264), _u8266))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8253), _u8264)) | hBOOL(hAPP(_u8268, _u8253)) )).
% 13.05/13.25 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8262), skolem120(_u8268, _u8266, _u8264, _u8262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8262, tc_HOL_Obool)), _u8264), _u8266))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8254), _u8266)) | hBOOL(hAPP(_u8268, _u8254)) )).
% 13.05/13.25 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u8268, skolem120(_u8268, _u8266, _u8264, _u8262))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8253), _u8264)) | hBOOL(hAPP(_u8268, _u8253)) )).
% 13.05/13.25 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u8268, skolem120(_u8268, _u8266, _u8264, _u8262))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8254), _u8266)) | hBOOL(hAPP(_u8268, _u8254)) )).
% 13.05/13.25 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem121(_u8269, _u8267, _u8265, _u8263)), _u8265)) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem122(_u8269, _u8267, _u8265, _u8263)), _u8267)) )).
% 13.05/13.25 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem121(_u8269, _u8267, _u8265, _u8263)), _u8265)) | ~hBOOL(hAPP(_u8269, skolem122(_u8269, _u8267, _u8265, _u8263))) )).
% 13.05/13.25 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | ~hBOOL(hAPP(_u8269, skolem121(_u8269, _u8267, _u8265, _u8263))) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem122(_u8269, _u8267, _u8265, _u8263)), _u8267)) )).
% 13.05/13.25 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | ~hBOOL(hAPP(_u8269, skolem121(_u8269, _u8267, _u8265, _u8263))) | ~hBOOL(hAPP(_u8269, skolem122(_u8269, _u8267, _u8265, _u8263))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u8270) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8271, _u8270)), _u8272), _u8273), _u8274) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8270), hAPP(_u8272, _u8274)), hAPP(_u8273, _u8274))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u8275, _u8276)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8277, tc_HOL_Obool)), _u8275), _u8278), _u8276)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u8279, _u8280)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8281, tc_HOL_Obool)), _u8282), _u8279), _u8280)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8283, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8283), _u8284), _u8285)), _u8286) = hAPP(hAPP(c_Set_Oinsert(_u8283), _u8284), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8283, tc_HOL_Obool)), _u8285), _u8286))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8287, tc_HOL_Obool)), _u8288), hAPP(hAPP(c_Set_Oinsert(_u8287), _u8289), _u8290)) = hAPP(hAPP(c_Set_Oinsert(_u8287), _u8289), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8287, tc_HOL_Obool)), _u8288), _u8290))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8295), _u8297), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8295, tc_HOL_Obool)), _u8299), _u8301))) | hBOOL(hAPP(hAPP(c_member(_u8295), _u8297), _u8299)) | hBOOL(hAPP(hAPP(c_member(_u8295), _u8297), _u8301)) )).
% 13.05/13.25 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8296, tc_HOL_Obool)), _u8300), _u8302))) | ~hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), _u8300)) )).
% 13.05/13.25 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8296, tc_HOL_Obool)), _u8300), _u8302))) | ~hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), _u8302)) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8303), _u8304), _u8305)) | hBOOL(hAPP(hAPP(c_member(_u8303), _u8304), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8303, tc_HOL_Obool)), _u8305), _u8306))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 13.05/13.25 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8307), _u8308), _u8309)) | hBOOL(hAPP(hAPP(c_member(_u8307), _u8308), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8307, tc_HOL_Obool)), _u8310), _u8309))) )).
% 13.05/13.25
% 13.05/13.25 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8315, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8315, tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8315)), _u8317)), hAPP(hAPP(c_COMBC(_u8315, tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8315)), _u8319)), _u8321)) | hBOOL(hAPP(hAPP(c_member(_u8315), _u8321), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8315, tc_HOL_Obool)), _u8317), _u8319))) )).
% 13.05/13.26 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8316), _u8322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8316, tc_HOL_Obool)), _u8318), _u8320))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8316, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8316, tc_fun(_u8316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8316)), _u8318)), hAPP(hAPP(c_COMBC(_u8316, tc_fun(_u8316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8316)), _u8320)), _u8322)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8323), _u8324), _u8325) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8323, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8324), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool)))), _u8325)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8326, tc_HOL_Obool)), _u8327), _u8328)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8326, tc_HOL_Obool)), _u8327), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8326, tc_HOL_Obool)), _u8328), _u8327)) = _u8328) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8333, tc_HOL_Obool)), _u8335), _u8337)), _u8339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), _u8335), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8333, tc_HOL_Obool)), _u8337), _u8339))) )).
% 13.05/13.26 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8334, tc_HOL_Obool)), _u8336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8334, tc_HOL_Obool)), _u8338), _u8340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8334, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8334, tc_HOL_Obool)), _u8336), _u8338)), _u8340)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8341, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8341, tc_HOL_Obool)), _u8342), _u8343)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8341, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8341, tc_HOL_Obool)), _u8342)), _u8343)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 13.05/13.26 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)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 13.05/13.26 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))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u8344, _u8345, _u8346) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u8344), _u8344), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u8344, c_Wellfounded_Oless__than, _u8346)), hAPP(hAPP(c_COMBS(_u8344, _u8344, tc_prod(tc_Nat_Onat, _u8344)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8344, tc_prod(tc_Nat_Onat, _u8344)), _u8344), c_Product__Type_OPair(tc_Nat_Onat, _u8344)), _u8345)), c_COMBI(_u8344)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 13.05/13.26 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), _u8351), _u8353)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8355), _u8357))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8351), _u8357) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8355), _u8353)) )).
% 13.05/13.26 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8352), _u8358) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8356), _u8354)) | 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), _u8352), _u8354)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8356), _u8358))), c_Int_Ointrel)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u8359, _u8360) | c_FunDef_Oreduction__pair(_u8361, hAPP(hAPP(c_FunDef_Orp__inv__image(_u8359, _u8361), _u8360), _u8362)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u8363, _u8364) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool)), c_COMBS(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(_u8364, _u8363)), c_Product__Type_OPair(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), c_Relation_Oinv__image(_u8363, _u8364))))), c_Relation_Oinv__image(_u8363, _u8364)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8371, tc_fun(_u8373, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8371, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), _u8371), c_COMBC(_u8373, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_prod(_u8371, _u8373)), tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), _u8371), hAPP(c_COMBB(tc_prod(_u8371, _u8373), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool), _u8373), c_member(tc_prod(_u8371, _u8373)))), c_Product__Type_OPair(_u8371, _u8373)))), _u8375)), hAPP(hAPP(c_COMBC(_u8371, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), _u8371), c_COMBC(_u8373, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_prod(_u8371, _u8373)), tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), _u8371), hAPP(c_COMBB(tc_prod(_u8371, _u8373), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool), _u8373), c_member(tc_prod(_u8371, _u8373)))), c_Product__Type_OPair(_u8371, _u8373)))), _u8377)), _u8379), _u8381)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8371, _u8373)), hAPP(hAPP(c_Product__Type_OPair(_u8371, _u8373), _u8379), _u8381)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool)), _u8375), _u8377))) )).
% 13.05/13.26 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8372, _u8374)), hAPP(hAPP(c_Product__Type_OPair(_u8372, _u8374), _u8380), _u8382)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool)), _u8376), _u8378))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8372, tc_fun(_u8374, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8372, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), _u8372), c_COMBC(_u8374, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_prod(_u8372, _u8374)), tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), _u8372), hAPP(c_COMBB(tc_prod(_u8372, _u8374), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool), _u8374), c_member(tc_prod(_u8372, _u8374)))), c_Product__Type_OPair(_u8372, _u8374)))), _u8376)), hAPP(hAPP(c_COMBC(_u8372, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), _u8372), c_COMBC(_u8374, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_prod(_u8372, _u8374)), tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), _u8372), hAPP(c_COMBB(tc_prod(_u8372, _u8374), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool), _u8374), c_member(tc_prod(_u8372, _u8374)))), c_Product__Type_OPair(_u8372, _u8374)))), _u8378)), _u8380), _u8382)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 13.05/13.26 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)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool)), _u8384), _u8385)), c_Wellfounded_Omax__ext(_u8383, _u8386))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool)), _u8387), _u8388)), c_Wellfounded_Omax__ext(_u8383, _u8386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8383, tc_HOL_Obool)), _u8384), _u8387)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8383, tc_HOL_Obool)), _u8385), _u8388))), c_Wellfounded_Omax__ext(_u8383, _u8386))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u8393, hAPP(hAPP(c_COMBC(_u8393, tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8393, tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool)), _u8393), c_COMBC(_u8393, tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8393, tc_prod(_u8393, _u8393)), tc_fun(_u8393, tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool)), _u8393), hAPP(c_COMBB(tc_prod(_u8393, _u8393), tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool), _u8393), c_member(tc_prod(_u8393, _u8393)))), c_Product__Type_OPair(_u8393, _u8393)))), _u8395), _u8397, _u8399) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8393, tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8393, tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool)), _u8397), _u8399)), c_Wellfounded_Omax__ext(_u8393, _u8395))) )).
% 13.05/13.26 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8394, tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8394, tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool)), _u8398), _u8400)), c_Wellfounded_Omax__ext(_u8394, _u8396))) | c_Wellfounded_Omax__extp(_u8394, hAPP(hAPP(c_COMBC(_u8394, tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8394, tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool)), _u8394), c_COMBC(_u8394, tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8394, tc_prod(_u8394, _u8394)), tc_fun(_u8394, tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool)), _u8394), hAPP(c_COMBB(tc_prod(_u8394, _u8394), tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool), _u8394), c_member(tc_prod(_u8394, _u8394)))), c_Product__Type_OPair(_u8394, _u8394)))), _u8396), _u8398, _u8400) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8413, _u8413)), hAPP(hAPP(c_Product__Type_OPair(_u8413, _u8413), hAPP(_u8417, _u8409)), hAPP(_u8417, _u8411))), _u8415)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8407, _u8407)), hAPP(hAPP(c_Product__Type_OPair(_u8407, _u8407), _u8409), _u8411)), hAPP(hAPP(c_Relation_Oinv__image(_u8413, _u8407), _u8415), _u8417))) )).
% 13.05/13.26 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8414, _u8414)), hAPP(hAPP(c_Product__Type_OPair(_u8414, _u8414), hAPP(_u8418, _u8410)), hAPP(_u8418, _u8412))), _u8416)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8408, _u8408)), hAPP(hAPP(c_Product__Type_OPair(_u8408, _u8408), _u8410), _u8412)), hAPP(hAPP(c_Relation_Oinv__image(_u8414, _u8408), _u8416), _u8418))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Body1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Body1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8419, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8419), tc_HOL_Obool)), _u8420), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8419), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8419)), _u8421)), c_Com_Ocom_OBODY)), _u8422)), _u8423)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8419), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8419)), _u8421)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u8422)), _u8423)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u8424), _u8423)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8419, _u8420, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8419)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8419), hAPP(_u8421, _u8424)), hAPP(c_Com_Ocom_OBODY, _u8424)), hAPP(_u8422, _u8424))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8419), tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u8427), 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)), _u8429), 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)), _u8427), _u8429)), c_Int_Ointrel)) )).
% 13.05/13.26 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)), _u8428), _u8430)), 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)), _u8428), 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)), _u8430), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u8433, _u8435), _u8436)) | hBOOL(hAPP(hAPP(_u8434, _u8435), _u8436)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8431, tc_fun(_u8432, tc_HOL_Obool))), _u8433), _u8434), _u8435), _u8436)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8441, tc_fun(_u8442, tc_HOL_Obool))), _u8440), _u8437), _u8438), _u8439)) | ~hBOOL(hAPP(hAPP(_u8437, _u8438), _u8439)) )).
% 13.05/13.26 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8441, tc_fun(_u8442, tc_HOL_Obool))), _u8440), _u8437), _u8438), _u8439)) | ~hBOOL(hAPP(hAPP(_u8440, _u8438), _u8439)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__eqI-1, axiom, ( ( _u8443 != hAPP(_u8444, _u8445)) | ~hBOOL(hAPP(hAPP(c_member(_u8446), _u8445), _u8447)) | hBOOL(hAPP(hAPP(c_member(_u8448), _u8443), hAPP(c_Set_Oimage(_u8446, _u8448, _u8444), _u8447))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u8449, _u8450, _u8451), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8449, tc_HOL_Obool)), _u8452), _u8453)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8450, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8449, _u8450, _u8451), _u8452)), hAPP(c_Relation_OImage(_u8449, _u8450, _u8451), _u8453))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u8454, _u8455, _u8456), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8454, tc_HOL_Obool)), _u8457), _u8458)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8455, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8454, _u8455, _u8456), _u8457)), hAPP(c_Set_Oimage(_u8454, _u8455, _u8456), _u8458))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8459, _u8460), _u8461)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8462, tc_fun(_u8463, tc_HOL_Obool))), _u8459), _u8464), _u8460), _u8461)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8465, _u8466), _u8467)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8468, tc_fun(_u8469, tc_HOL_Obool))), _u8470), _u8465), _u8466), _u8467)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8478, tc_HOL_Obool)), _u8480), hAPP(c_Set_Oimage(_u8482, _u8478, _u8484), _u8486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8482, tc_HOL_Obool)), skolem123(_u8486, _u8484, _u8482, _u8480, _u8478)), _u8486)) )).
% 13.05/13.26 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8478, tc_HOL_Obool)), _u8480), hAPP(c_Set_Oimage(_u8482, _u8478, _u8484), _u8486))) | ( _u8480 = hAPP(c_Set_Oimage(_u8482, _u8478, _u8484), skolem123(_u8486, _u8484, _u8482, _u8480, _u8478))) )).
% 13.05/13.26 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8483, tc_HOL_Obool)), _u8472), _u8487)) | ( _u8481 != hAPP(c_Set_Oimage(_u8483, _u8479, _u8485), _u8472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8479, tc_HOL_Obool)), _u8481), hAPP(c_Set_Oimage(_u8483, _u8479, _u8485), _u8487))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8488, tc_HOL_Obool)), _u8489), _u8490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8488, _u8491, _u8492), _u8489)), hAPP(c_Set_Oimage(_u8488, _u8491, _u8492), _u8490))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__image ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u8493, _u8494, _u8495), hAPP(c_Set_Oimage(_u8496, _u8493, _u8497), _u8498)) = hAPP(c_Set_Oimage(_u8496, _u8494, hAPP(hAPP(c_COMBB(_u8493, _u8494, _u8496), _u8495), _u8497)), _u8498)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8506), _u8508), hAPP(c_Set_Oimage(_u8510, _u8506, _u8512), _u8514))) | hBOOL(hAPP(hAPP(c_member(_u8510), skolem124(_u8514, _u8512, _u8510, _u8508)), _u8514)) )).
% 13.05/13.26 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8506), _u8508), hAPP(c_Set_Oimage(_u8510, _u8506, _u8512), _u8514))) | ( _u8508 = hAPP(_u8512, skolem124(_u8514, _u8512, _u8510, _u8508))) )).
% 13.05/13.26 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8511), _u8500), _u8515)) | ( _u8509 != hAPP(_u8513, _u8500)) | hBOOL(hAPP(hAPP(c_member(_u8507), _u8509), hAPP(c_Set_Oimage(_u8511, _u8507, _u8513), _u8515))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_imageI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8516), _u8517), _u8518)) | hBOOL(hAPP(hAPP(c_member(_u8519), hAPP(_u8520, _u8517)), hAPP(c_Set_Oimage(_u8516, _u8519, _u8520), _u8518))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8521), _u8522), _u8523)) | ( _u8524 != hAPP(_u8525, _u8522)) | hBOOL(hAPP(hAPP(c_member(_u8526), _u8524), hAPP(c_Set_Oimage(_u8521, _u8526, _u8525), _u8523))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u8527, _u8528, _u8529), hAPP(hAPP(c_Set_Oinsert(_u8527), _u8530), _u8531)) = hAPP(hAPP(c_Set_Oinsert(_u8528), hAPP(_u8529, _u8530)), hAPP(c_Set_Oimage(_u8527, _u8528, _u8529), _u8531))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u8532, _u8533, _u8534), c_Orderings_Obot__class_Obot(tc_fun(_u8532, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8533, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_empty__is__image-1, axiom, ( ( _u8545 = c_Orderings_Obot__class_Obot(tc_fun(_u8541, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8539, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u8541, _u8539, _u8543), _u8545)) )).
% 13.05/13.26 cnf(fact_empty__is__image-2, axiom, ( ( _u8546 != c_Orderings_Obot__class_Obot(tc_fun(_u8542, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8540, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u8542, _u8540, _u8544), _u8546)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u8547, _u8548, _u8549), c_Orderings_Obot__class_Obot(tc_fun(_u8547, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8548, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u8554, _u8556, _u8558), _u8560) != c_Orderings_Obot__class_Obot(tc_fun(_u8556, tc_HOL_Obool))) | ( _u8560 = c_Orderings_Obot__class_Obot(tc_fun(_u8554, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_image__is__empty-2, axiom, ( ( _u8561 != c_Orderings_Obot__class_Obot(tc_fun(_u8555, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8555, _u8557, _u8559), _u8561) = c_Orderings_Obot__class_Obot(tc_fun(_u8557, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8562, _u8563), tc_HOL_Obool)), _u8564), _u8565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8562, tc_HOL_Obool)), _u8566), _u8567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8563, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8562, _u8563, _u8564), _u8566)), hAPP(c_Relation_OImage(_u8562, _u8563, _u8565), _u8567))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u8568, _u8569, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8568, _u8569), tc_HOL_Obool)), _u8570), _u8571)), _u8572) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8569, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8568, _u8569, _u8570), _u8572)), hAPP(c_Relation_OImage(_u8568, _u8569, _u8571), _u8572))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8573), _u8574), _u8575)) | ( hAPP(hAPP(c_Set_Oinsert(_u8576), hAPP(_u8577, _u8574)), hAPP(c_Set_Oimage(_u8573, _u8576, _u8577), _u8575)) = hAPP(c_Set_Oimage(_u8573, _u8576, _u8577), _u8575)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8578, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8578, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8579, _u8578, _u8580), _u8581)), hAPP(c_Set_Oimage(_u8579, _u8578, _u8580), _u8582))), hAPP(c_Set_Oimage(_u8579, _u8578, _u8580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8579, tc_HOL_Obool)), _u8581), _u8582)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8590), _u8592), hAPP(c_Relation_OImage(_u8594, _u8590, _u8596), _u8598))) | hBOOL(hAPP(hAPP(c_member(_u8594), skolem125(_u8598, _u8596, _u8594, _u8592, _u8590)), _u8598)) )).
% 13.05/13.26 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8590), _u8592), hAPP(c_Relation_OImage(_u8594, _u8590, _u8596), _u8598))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8594, _u8590)), hAPP(hAPP(c_Product__Type_OPair(_u8594, _u8590), skolem125(_u8598, _u8596, _u8594, _u8592, _u8590)), _u8592)), _u8596)) )).
% 13.05/13.26 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8595), _u8584), _u8599)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8595, _u8591)), hAPP(hAPP(c_Product__Type_OPair(_u8595, _u8591), _u8584), _u8593)), _u8597)) | hBOOL(hAPP(hAPP(c_member(_u8591), _u8593), hAPP(c_Relation_OImage(_u8595, _u8591, _u8597), _u8599))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8600), _u8601), _u8602)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8600, _u8603)), hAPP(hAPP(c_Product__Type_OPair(_u8600, _u8603), _u8601), _u8604)), _u8605)) | hBOOL(hAPP(hAPP(c_member(_u8603), _u8604), hAPP(c_Relation_OImage(_u8600, _u8603, _u8605), _u8602))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__constant__conv-1, axiom, ( ( _u8610 != c_Orderings_Obot__class_Obot(tc_fun(_u8612, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8612, _u8614, hAPP(c_COMBK(_u8614, _u8612), _u8616)), _u8610) = c_Orderings_Obot__class_Obot(tc_fun(_u8614, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_image__constant__conv-2, axiom, ( ( _u8611 = c_Orderings_Obot__class_Obot(tc_fun(_u8613, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8613, _u8615, hAPP(c_COMBK(_u8615, _u8613), _u8617)), _u8611) = hAPP(hAPP(c_Set_Oinsert(_u8615), _u8617), c_Orderings_Obot__class_Obot(tc_fun(_u8615, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8618), _u8619), _u8620)) | ( hAPP(c_Set_Oimage(_u8618, _u8621, hAPP(c_COMBK(_u8621, _u8618), _u8622)), _u8620) = hAPP(hAPP(c_Set_Oinsert(_u8621), _u8622), c_Orderings_Obot__class_Obot(tc_fun(_u8621, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8628), _u8630), hAPP(c_Relation_OImage(_u8632, _u8628, _u8634), hAPP(hAPP(c_Set_Oinsert(_u8632), _u8636), c_Orderings_Obot__class_Obot(tc_fun(_u8632, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8632, _u8628)), hAPP(hAPP(c_Product__Type_OPair(_u8632, _u8628), _u8636), _u8630)), _u8634)) )).
% 13.05/13.26 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8633, _u8629)), hAPP(hAPP(c_Product__Type_OPair(_u8633, _u8629), _u8637), _u8631)), _u8635)) | hBOOL(hAPP(hAPP(c_member(_u8629), _u8631), hAPP(c_Relation_OImage(_u8633, _u8629, _u8635), hAPP(hAPP(c_Set_Oinsert(_u8633), _u8637), c_Orderings_Obot__class_Obot(tc_fun(_u8633, tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u8638) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u8638), c_Wellfounded_Oless__than)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_hoare__derivs_OBody ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_hoare__derivs_OBody-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8639, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8639), tc_HOL_Obool)), _u8640), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8639), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), hAPP(hAPP(c_COMBB(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8639)), _u8641)), c_Com_Ocom_OBODY)), _u8642)), _u8643)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8639), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), hAPP(hAPP(c_COMBB(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8639)), _u8641)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u8642)), _u8643)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8639, _u8640, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8639), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), hAPP(hAPP(c_COMBB(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8639)), _u8641)), c_Com_Ocom_OBODY)), _u8642)), _u8643)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Body__sound__lemma ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Body__sound__lemma-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u8644, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8644), tc_HOL_Obool)), _u8645), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8644), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), hAPP(hAPP(c_COMBB(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8644)), _u8646)), c_Com_Ocom_OBODY)), _u8647)), _u8648)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8644), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), hAPP(hAPP(c_COMBB(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8644)), _u8646)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u8647)), _u8648)) | c_Hoare__Mirabelle_Ohoare__valids(_u8644, _u8645, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8644), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), hAPP(hAPP(c_COMBB(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8644)), _u8646)), c_Com_Ocom_OBODY)), _u8647)), _u8648)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_of__int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u8649) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8649), 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), _u8650), _u8651)), 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(_u8649), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8649), _u8650)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8649), _u8651))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 13.05/13.26 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)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_mult ( axiom ) converted to clauses:
% 13.05/13.26 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), _u8652), _u8653)), 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), _u8654), _u8655)), 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), _u8652), _u8654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8653), _u8655))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8652), _u8655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8653), _u8654)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8656, _u8657)), hAPP(hAPP(c_Product__Type_OPair(_u8656, _u8657), _u8658), _u8659)), _u8660)) | hBOOL(hAPP(hAPP(c_member(_u8661), hAPP(hAPP(_u8662, _u8658), _u8659)), hAPP(c_Set_Oimage(tc_prod(_u8656, _u8657), _u8661, hAPP(c_Product__Type_Oprod_Oprod__case(_u8656, _u8657, _u8661), _u8662)), _u8660))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u8663), _u8664) = 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)), _u8663)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8664)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u8667), _u8669)) | 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)), _u8667)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8669))) )).
% 13.05/13.26 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)), _u8668)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8670))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8668), _u8670)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u8673), _u8675)) | 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)), _u8673)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8675))) )).
% 13.05/13.26 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)), _u8674)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8674), _u8676)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u8679 != _u8681) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8679) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8681)) )).
% 13.05/13.26 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)), _u8680) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8682)) | ( _u8680 = _u8682) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u8683)) = _u8683) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8686), _u8688)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8686)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8688))) )).
% 13.05/13.26 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), _u8687)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8689))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8687), _u8689)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 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)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 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)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_minus ( axiom ) converted to clauses:
% 13.05/13.26 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), _u8690), _u8691)), 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), _u8691), _u8690)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 13.05/13.26 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)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_int__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8692) = 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), _u8692), 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)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_add ( axiom ) converted to clauses:
% 13.05/13.26 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), _u8693), _u8694)), 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), _u8695), _u8696)), 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), _u8693), _u8695)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8694), _u8696))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_nat ( axiom ) converted to clauses:
% 13.05/13.26 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), _u8697), _u8698)), 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), _u8697), _u8698)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_less ( axiom ) converted to clauses:
% 13.05/13.26 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), _u8703), _u8705)), 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), _u8707), _u8709)), 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), _u8703), _u8709)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8707), _u8705))) )).
% 13.05/13.26 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), _u8704), _u8710)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8708), _u8706))) | 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), _u8704), _u8706)), 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), _u8708), _u8710)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le ( axiom ) converted to clauses:
% 13.05/13.26 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), _u8715), _u8717)), 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), _u8719), _u8721)), 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), _u8715), _u8721)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8719), _u8717))) )).
% 13.05/13.26 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), _u8716), _u8722)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8720), _u8718))) | 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), _u8716), _u8718)), 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), _u8720), _u8722)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u8727, _u8729) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8727, _u8727)), hAPP(hAPP(c_Product__Type_OPair(_u8727, _u8727), _u8723), _u8723)), _u8729)) )).
% 13.05/13.26 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8728, _u8728)), hAPP(hAPP(c_Product__Type_OPair(_u8728, _u8728), skolem126(_u8730, _u8728)), skolem126(_u8730, _u8728))), _u8730)) | c_Relation_Oirrefl(_u8728, _u8730) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u8733 = 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), skolem127(_u8733)), skolem128(_u8733))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u8734), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u8734, _u8734)), hAPP(hAPP(c_Product__Type_OPair(_u8734, _u8734), _u8735), _u8736)), _u8737)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8734, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8734), _u8735), hAPP(hAPP(c_Set_Oinsert(_u8734), _u8736), c_Orderings_Obot__class_Obot(tc_fun(_u8734, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u8734), _u8737))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8739), _u8740), hAPP(c_Relation_OImage(_u8741, _u8739, _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8741, _u8739)), hAPP(hAPP(c_Product__Type_OPair(_u8741, _u8739), skolem129(_u8743, _u8742, _u8741, _u8740, _u8739)), _u8740)), _u8742)) )).
% 13.05/13.26 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8739), _u8740), hAPP(c_Relation_OImage(_u8741, _u8739, _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(_u8741), skolem129(_u8743, _u8742, _u8741, _u8740, _u8739)), _u8743)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u8744), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8744, _u8744), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8744, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8745, _u8745), tc_HOL_Obool)), _u8746), _u8747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8745, tc_HOL_Obool)), hAPP(c_Relation_OField(_u8745), _u8746)), hAPP(c_Relation_OField(_u8745), _u8747))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u8748), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8748, _u8748), tc_HOL_Obool)), _u8749), _u8750)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8748, tc_HOL_Obool)), hAPP(c_Relation_OField(_u8748), _u8749)), hAPP(c_Relation_OField(_u8748), _u8750))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8751) | ~c_Nat__Transfer_Onat__set(_u8752) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8751), _u8752) = 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), _u8751)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8752)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8753) | ~c_Nat__Transfer_Onat__set(_u8754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8753), _u8754)) | 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), _u8753)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8754))) )).
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8753) | ~c_Nat__Transfer_Onat__set(_u8754) | ~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), _u8753)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8753), _u8754)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8755) | ~c_Nat__Transfer_Onat__set(_u8756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8755), _u8756)) | 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), _u8755)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8756))) )).
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8755) | ~c_Nat__Transfer_Onat__set(_u8756) | ~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), _u8755)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8755), _u8756)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8757) | ~c_Nat__Transfer_Onat__set(_u8758) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8757), _u8758)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8757)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8758))) )).
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8757) | ~c_Nat__Transfer_Onat__set(_u8758) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8757)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8758))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8757), _u8758)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 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))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8759) | ~c_Nat__Transfer_Onat__set(_u8760) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8759), _u8760)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8764) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8761), _u8764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8761)) )).
% 13.05/13.26 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u8765) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u8765)), _u8765)) )).
% 13.05/13.26 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u8765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem130(_u8765))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u8766)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8767) | ~c_Nat__Transfer_Onat__set(_u8768) | ( _u8767 != _u8768) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8767) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8768)) )).
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8767) | ~c_Nat__Transfer_Onat__set(_u8768) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8767) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8768)) | ( _u8767 = _u8768) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8769) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8770), _u8769)) | c_Nat__Transfer_Ois__nat(_u8770) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8771) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8772), _u8771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8772)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8773) | ( 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), _u8773)) = _u8773) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8774, _u8775, _u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8774, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8774, _u8774, _u8776), hAPP(hAPP(c_Set_Oinsert(_u8774), _u8777), c_Orderings_Obot__class_Obot(tc_fun(_u8774, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8774, _u8774, _u8776), hAPP(hAPP(c_Set_Oinsert(_u8774), _u8778), c_Orderings_Obot__class_Obot(tc_fun(_u8774, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u8774), _u8777), _u8775)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8774, _u8774)), hAPP(hAPP(c_Product__Type_OPair(_u8774, _u8774), _u8778), _u8777)), _u8776)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8782, hAPP(hAPP(c_COMBC(_u8782, tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_fun(_u8782, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8782, tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_fun(_u8782, tc_HOL_Obool)), _u8782), c_COMBC(_u8782, tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8782, tc_prod(_u8782, _u8782)), tc_fun(_u8782, tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool)), _u8782), hAPP(c_COMBB(tc_prod(_u8782, _u8782), tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool), _u8782), c_member(tc_prod(_u8782, _u8782)))), c_Product__Type_OPair(_u8782, _u8782)))), _u8784)), _u8786)) | hBOOL(hAPP(hAPP(c_member(_u8782), _u8786), c_Wellfounded_Oacc(_u8782, _u8784))) )).
% 13.05/13.26 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8783), _u8787), c_Wellfounded_Oacc(_u8783, _u8785))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8783, hAPP(hAPP(c_COMBC(_u8783, tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_fun(_u8783, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8783, tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_fun(_u8783, tc_HOL_Obool)), _u8783), c_COMBC(_u8783, tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8783, tc_prod(_u8783, _u8783)), tc_fun(_u8783, tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool)), _u8783), hAPP(c_COMBB(tc_prod(_u8783, _u8783), tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool), _u8783), c_member(tc_prod(_u8783, _u8783)))), c_Product__Type_OPair(_u8783, _u8783)))), _u8785)), _u8787)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8788)) | 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))), _u8788)), c_FunDef_Omax__weak)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8789)) | ( _u8789 = 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))), _u8789)), c_FunDef_Omax__strict)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u8790, _u8790)), _u8791)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8790), hAPP(c_Relation_OField(_u8790), _u8791))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8792, _u8792), tc_HOL_Obool)), _u8793), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8792, tc_HOL_Obool)), c_Wellfounded_Oacc(_u8792, _u8794)), c_Wellfounded_Oacc(_u8792, _u8793))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8795, _u8796, _u8797) | ~hBOOL(hAPP(hAPP(c_member(_u8795), _u8798), _u8796)) | hBOOL(hAPP(hAPP(c_member(_u8795), _u8798), hAPP(c_Relation_OImage(_u8795, _u8795, _u8797), hAPP(hAPP(c_Set_Oinsert(_u8795), _u8798), c_Orderings_Obot__class_Obot(tc_fun(_u8795, tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8804), _u8806), c_Wellfounded_Oacc(_u8804, _u8808))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8804, _u8804)), hAPP(hAPP(c_Product__Type_OPair(_u8804, _u8804), _u8799), _u8806)), _u8808)) | hBOOL(hAPP(hAPP(c_member(_u8804), _u8799), c_Wellfounded_Oacc(_u8804, _u8808))) )).
% 13.05/13.26 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8805), _u8807), c_Wellfounded_Oacc(_u8805, _u8809))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8805, _u8805)), hAPP(hAPP(c_Product__Type_OPair(_u8805, _u8805), skolem131(_u8809, _u8807, _u8805)), _u8807)), _u8809)) )).
% 13.05/13.26 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8805), _u8807), c_Wellfounded_Oacc(_u8805, _u8809))) | ~hBOOL(hAPP(hAPP(c_member(_u8805), skolem131(_u8809, _u8807, _u8805)), c_Wellfounded_Oacc(_u8805, _u8809))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8810), _u8811), c_Wellfounded_Oacc(_u8810, _u8812))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8810, _u8810)), hAPP(hAPP(c_Product__Type_OPair(_u8810, _u8810), _u8813), _u8811)), _u8812)) | hBOOL(hAPP(hAPP(c_member(_u8810), _u8813), c_Wellfounded_Oacc(_u8810, _u8812))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8814, _u8815, _u8816) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8814, _u8814)), hAPP(hAPP(c_Product__Type_OPair(_u8814, _u8814), _u8817), _u8818)), _u8816)) | ( hAPP(c_Relation_OImage(_u8814, _u8814, _u8816), hAPP(hAPP(c_Set_Oinsert(_u8814), _u8817), c_Orderings_Obot__class_Obot(tc_fun(_u8814, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8814, _u8814, _u8816), hAPP(hAPP(c_Set_Oinsert(_u8814), _u8818), c_Orderings_Obot__class_Obot(tc_fun(_u8814, tc_HOL_Obool))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u8819, _u8819, _u8820), hAPP(hAPP(c_Set_Oinsert(_u8819), _u8821), c_Orderings_Obot__class_Obot(tc_fun(_u8819, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8819, _u8819, _u8820), hAPP(hAPP(c_Set_Oinsert(_u8819), _u8822), c_Orderings_Obot__class_Obot(tc_fun(_u8819, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u8819, _u8823, _u8820) | ~hBOOL(hAPP(hAPP(c_member(_u8819), _u8822), _u8823)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8819, _u8819)), hAPP(hAPP(c_Product__Type_OPair(_u8819, _u8819), _u8821), _u8822)), _u8820)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8824, _u8825, _u8826) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8827), _u8825)) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8828), _u8825)) | ( hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8827), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8828), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8824, _u8824)), hAPP(hAPP(c_Product__Type_OPair(_u8824, _u8824), _u8827), _u8828)), _u8826)) )).
% 13.05/13.26 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u8824, _u8825, _u8826) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8827), _u8825)) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8828), _u8825)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8824, _u8824)), hAPP(hAPP(c_Product__Type_OPair(_u8824, _u8824), _u8827), _u8828)), _u8826)) | ( hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8827), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8828), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) | ( hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8832), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8833), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool))))) )).
% 13.05/13.26 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) | hBOOL(hAPP(hAPP(c_member(_u8829), _u8832), _u8830)) )).
% 13.05/13.26 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) | hBOOL(hAPP(hAPP(c_member(_u8829), _u8833), _u8830)) )).
% 13.05/13.26 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ( hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8832), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8833), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u8829), _u8832), _u8830)) | ~hBOOL(hAPP(hAPP(c_member(_u8829), _u8833), _u8830)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8834, _u8835, _u8836) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8834, _u8834)), hAPP(hAPP(c_Product__Type_OPair(_u8834, _u8834), _u8837), _u8838)), _u8836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8834, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8834, _u8834, _u8836), hAPP(hAPP(c_Set_Oinsert(_u8834), _u8837), c_Orderings_Obot__class_Obot(tc_fun(_u8834, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8834, _u8834, _u8836), hAPP(hAPP(c_Set_Oinsert(_u8834), _u8838), c_Orderings_Obot__class_Obot(tc_fun(_u8834, tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8839), _u8840)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8839), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8839, tc_HOL_Obool)), _u8840), _u8841))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), _u8843)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8844), hAPP(c_Set_Oimage(_u8842, _u8844, _u8845), _u8843))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8846), _u8847)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8846), hAPP(hAPP(c_Set_Oinsert(_u8846), _u8848), _u8847))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8849), c_Orderings_Obot__class_Obot(tc_fun(_u8849, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8851)) | 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)), _u8851))) )).
% 13.05/13.26 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)), _u8852))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8852)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8853))) )).
% 13.05/13.26 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8853))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8853)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u8854) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), _u8855)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u8856) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8856), _u8857)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8858), c_Orderings_Obot__class_Obot(tc_fun(_u8858, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8862), hAPP(hAPP(c_Set_Oinsert(_u8862), _u8864), _u8866))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8862), _u8866)) )).
% 13.05/13.26 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8863), _u8867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8863), hAPP(hAPP(c_Set_Oinsert(_u8863), _u8865), _u8867))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8868, tc_HOL_Obool)), _u8869), _u8870)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8868), _u8870)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8868), _u8869)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8871, tc_HOL_Obool)), _u8873), _u8872)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8873)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8877, tc_HOL_Obool)), _u8879), _u8881))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8879)) )).
% 13.05/13.26 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8877, tc_HOL_Obool)), _u8879), _u8881))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8881)) )).
% 13.05/13.26 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8878), _u8880)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8878), _u8882)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8878), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8878, tc_HOL_Obool)), _u8880), _u8882))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8883), _u8884)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8883), _u8885)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8883, tc_HOL_Obool)), _u8884), _u8885))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8887)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8886, tc_HOL_Obool)), _u8888), _u8887))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8888)) )).
% 13.05/13.26 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8887)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8888)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8886, tc_HOL_Obool)), _u8888), _u8887))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8889), _u8890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8891, tc_HOL_Obool)), _u8892), hAPP(c_Set_Oimage(_u8889, _u8891, _u8893), _u8890))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8891), _u8892)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8898, tc_HOL_Obool)), _u8900), hAPP(hAPP(c_Set_Oinsert(_u8898), _u8902), _u8904)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8898, tc_HOL_Obool)), _u8900), _u8904))) )).
% 13.05/13.26 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8899, tc_HOL_Obool)), _u8901), _u8905))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8899, tc_HOL_Obool)), _u8901), hAPP(hAPP(c_Set_Oinsert(_u8899), _u8903), _u8905)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool)), _u8911), _u8913)), c_Wellfounded_Ofinite__psubset(_u8909))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8909, tc_HOL_Obool)), _u8911), _u8913)) )).
% 13.05/13.26 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool)), _u8911), _u8913)), c_Wellfounded_Ofinite__psubset(_u8909))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8909), _u8913)) )).
% 13.05/13.26 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8910, tc_HOL_Obool)), _u8912), _u8914)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8910), _u8914)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8910, tc_HOL_Obool), tc_fun(_u8910, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8910, tc_HOL_Obool), tc_fun(_u8910, tc_HOL_Obool)), _u8912), _u8914)), c_Wellfounded_Ofinite__psubset(_u8910))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__pointwise ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__pointwise-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8920)), _u8921)), _u8922)), _u8917)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8923)), _u8921)), _u8924)), _u8917)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8918), hAPP(_u8920, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8921, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8922, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8918), tc_HOL_Obool)))) )).
% 13.05/13.26 cnf(fact_finite__pointwise-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8920)), _u8921)), _u8922)), _u8917)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8923)), _u8921)), _u8924)), _u8917)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8918), hAPP(_u8923, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8921, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8924, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8918), tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8925, _u8926, _u8927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8925), _u8928)) | ~hBOOL(hAPP(hAPP(c_member(_u8925), _u8929), _u8928)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8925, tc_HOL_Obool)), _u8928), hAPP(hAPP(c_Set_Oinsert(_u8925), _u8929), c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool))) | ( hAPP(_u8927, _u8928) = _u8929) )).
% 13.05/13.26 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u8925, _u8926, _u8927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8925), _u8928)) | ~hBOOL(hAPP(hAPP(c_member(_u8925), _u8929), _u8928)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8925, tc_HOL_Obool)), _u8928), hAPP(hAPP(c_Set_Oinsert(_u8925), _u8929), c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool))) | ( hAPP(_u8927, _u8928) = hAPP(hAPP(_u8926, _u8929), hAPP(_u8927, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8925, tc_HOL_Obool)), _u8928), hAPP(hAPP(c_Set_Oinsert(_u8925), _u8929), c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8931), _u8936)) | ~hBOOL(hAPP(hAPP(c_member(_u8931), _u8937), _u8936)) | ( hAPP(_u8935, _u8936) = hAPP(hAPP(_u8932, hAPP(_u8934, _u8937)), hAPP(_u8935, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8931, tc_HOL_Obool)), _u8936), hAPP(hAPP(c_Set_Oinsert(_u8931), _u8937), c_Orderings_Obot__class_Obot(tc_fun(_u8931, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8930, _u8931, _u8932, _u8933, _u8934, _u8935) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u8943, c_Orderings_Obot__class_Obot(tc_fun(_u8939, tc_HOL_Obool))) = _u8941) | ~c_Finite__Set_Ofolding__image__simple(_u8938, _u8939, _u8940, _u8941, _u8942, _u8943) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8944, _u8945, _u8946) | ( hAPP(_u8946, hAPP(hAPP(c_Set_Oinsert(_u8944), _u8947), c_Orderings_Obot__class_Obot(tc_fun(_u8944, tc_HOL_Obool)))) = _u8947) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8949), _u8954)) | hBOOL(hAPP(hAPP(c_member(_u8949), _u8955), _u8954)) | ( hAPP(_u8953, hAPP(hAPP(c_Set_Oinsert(_u8949), _u8955), _u8954)) = hAPP(hAPP(_u8950, hAPP(_u8952, _u8955)), hAPP(_u8953, _u8954))) | ~c_Finite__Set_Ofolding__image__simple(_u8948, _u8949, _u8950, _u8951, _u8952, _u8953) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8956, _u8957, _u8958) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8956), _u8959)) | hBOOL(hAPP(hAPP(c_member(_u8956), _u8960), _u8959)) | ( _u8959 = c_Orderings_Obot__class_Obot(tc_fun(_u8956, tc_HOL_Obool))) | ( hAPP(_u8958, hAPP(hAPP(c_Set_Oinsert(_u8956), _u8960), _u8959)) = hAPP(hAPP(_u8957, _u8960), hAPP(_u8958, _u8959))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8961, _u8962, _u8963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8961), _u8964)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8961, tc_HOL_Obool)), _u8964), hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool))) | ( hAPP(_u8963, hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), _u8964)) = _u8965) )).
% 13.05/13.26 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u8961, _u8962, _u8963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8961), _u8964)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8961, tc_HOL_Obool)), _u8964), hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool))) | ( hAPP(_u8963, hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), _u8964)) = hAPP(hAPP(_u8962, _u8965), hAPP(_u8963, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8961, tc_HOL_Obool)), _u8964), hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8967), _u8972)) | ( hAPP(_u8971, hAPP(hAPP(c_Set_Oinsert(_u8967), _u8973), _u8972)) = hAPP(hAPP(_u8968, hAPP(_u8970, _u8973)), hAPP(_u8971, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8967, tc_HOL_Obool)), _u8972), hAPP(hAPP(c_Set_Oinsert(_u8967), _u8973), c_Orderings_Obot__class_Obot(tc_fun(_u8967, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8966, _u8967, _u8968, _u8969, _u8970, _u8971) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8979)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8974), _u8979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8974), skolem133(_u8979))) )).
% 13.05/13.26 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8980)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem134(_u8980, _u8977)), _u8980)) )).
% 13.05/13.26 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem134(_u8980, _u8977)), _u8977)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8986)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8981), _u8986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8981), skolem135(_u8986))) )).
% 13.05/13.26 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8987)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem136(_u8987, _u8984)), _u8987)) )).
% 13.05/13.26 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem136(_u8987, _u8984)), _u8984)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8988, _u8989, _u8990) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8991), _u8989)) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8992), _u8989)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8991), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8992), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8988, _u8988)), hAPP(hAPP(c_Product__Type_OPair(_u8988, _u8988), _u8991), _u8992)), _u8990)) )).
% 13.05/13.26 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u8988, _u8989, _u8990) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8991), _u8989)) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8992), _u8989)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8988, _u8988)), hAPP(hAPP(c_Product__Type_OPair(_u8988, _u8988), _u8991), _u8992)), _u8990)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8991), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8992), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8993, _u8994, _u8995) | ~hBOOL(hAPP(hAPP(c_member(_u8993), _u8996), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8993, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8993, _u8993, _u8995), hAPP(hAPP(c_Set_Oinsert(_u8993), _u8997), c_Orderings_Obot__class_Obot(tc_fun(_u8993, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8993, _u8993, _u8995), hAPP(hAPP(c_Set_Oinsert(_u8993), _u8998), c_Orderings_Obot__class_Obot(tc_fun(_u8993, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8993, _u8993)), hAPP(hAPP(c_Product__Type_OPair(_u8993, _u8993), _u8997), _u8998)), _u8995)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8999, tc_HOL_Obool)), _u9000), _u9001), _u9002)) | hBOOL(hAPP(_u9000, _u9002)) )).
% 13.05/13.26 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8999, tc_HOL_Obool)), _u9000), _u9001), _u9002)) | hBOOL(hAPP(_u9001, _u9002)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u9003, _u9004)) | ~hBOOL(hAPP(_u9005, _u9004)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9006, tc_HOL_Obool)), _u9003), _u9005), _u9004)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_IntI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9007), _u9008), _u9009)) | ~hBOOL(hAPP(hAPP(c_member(_u9007), _u9008), _u9010)) | hBOOL(hAPP(hAPP(c_member(_u9007), _u9008), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9007, tc_HOL_Obool)), _u9009), _u9010))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_IntE ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9011, tc_HOL_Obool)), _u9013), _u9014))) | hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), _u9013)) )).
% 13.05/13.26 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9011, tc_HOL_Obool)), _u9013), _u9014))) | hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), _u9014)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9015, tc_HOL_Obool)), _u9016), _u9017))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), _u9016)) )).
% 13.05/13.26 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9015, tc_HOL_Obool)), _u9016), _u9017))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), _u9017)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u9018, _u9019, _u9020) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9018, tc_HOL_Obool)), _u9021), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9018), _u9019), _u9020))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9018, tc_HOL_Obool)), _u9022), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9018), _u9019), _u9020))) | ( _u9021 = _u9022) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9018, tc_HOL_Obool)), _u9021), _u9022) = c_Orderings_Obot__class_Obot(tc_fun(_u9018, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9023), c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool))), _u9024) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9023, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9028, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9028), _u9030), _u9032)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9028, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u9031 != c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9029, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9029), _u9031), _u9033)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9037), _u9039), _u9041) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9037, tc_HOL_Obool), tc_HOL_Obool))) | ( _u9039 = c_Orderings_Obot__class_Obot(tc_fun(_u9037, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_quotient__is__empty-2, axiom, ( ( _u9040 != c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9038), _u9040), _u9042) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9038, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9047, tc_fun(_u9047, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9047)), _u9049)), hAPP(hAPP(c_COMBC(_u9047, tc_fun(_u9047, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9047)), _u9051)), _u9053)) | hBOOL(hAPP(hAPP(c_member(_u9047), _u9053), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), _u9049), _u9051))) )).
% 13.05/13.26 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9048), _u9054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9048, tc_HOL_Obool)), _u9050), _u9052))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9048, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9048, tc_fun(_u9048, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9048)), _u9050)), hAPP(hAPP(c_COMBC(_u9048, tc_fun(_u9048, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9048)), _u9052)), _u9054)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9055, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9055, tc_HOL_Obool)), _u9056), _u9057)), _u9056)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9058, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9058, tc_HOL_Obool)), _u9059), _u9060)), _u9060)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063) = _u9062) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9064, tc_HOL_Obool)), _u9065), _u9066)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9064, tc_HOL_Obool)), _u9066), _u9065) = _u9065) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9067, tc_HOL_Obool)), _u9068), _u9069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9067, tc_HOL_Obool)), _u9068), _u9070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9067, tc_HOL_Obool)), _u9068), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9067, tc_HOL_Obool)), _u9069), _u9070))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9074), _u9075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9074)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9071, tc_HOL_Obool)), _u9073), _u9075))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u9076) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9076), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9076), _u9077), _u9078)), _u9077)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9079) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9079), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9079), _u9080), _u9081)), _u9080)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u9082) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9082), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9082), _u9083), _u9084)), _u9084)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9085), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9085), _u9086), _u9087)), _u9087)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9088), _u9089), _u9090)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9088), _u9089), _u9090) = _u9089) )).
% 13.05/13.26 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u9088) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9088), _u9089), _u9090) != _u9089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9088), _u9089), _u9090)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9091), _u9093), _u9094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9093)) )).
% 13.05/13.26 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u9091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9091), _u9093), _u9094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9094)) )).
% 13.05/13.26 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u9091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9094)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9091), _u9093), _u9094))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9095), _u9096), _u9097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9095), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9095), _u9096), _u9098)), _u9097)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9099), _u9100), _u9101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9099), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9099), _u9102), _u9100)), _u9101)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9103), _u9104), _u9105)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9103), _u9104), _u9105) = _u9104) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9106), _u9107), _u9108)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9106), _u9108), _u9107) = _u9107) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9109), _u9110), _u9111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9109), _u9110), _u9112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9109), _u9110), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9109), _u9111), _u9112))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9113), _u9114), _u9115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9113), _u9114), _u9116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9113), _u9114), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9113), _u9115), _u9116))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9117), _u9118), _u9119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9117), _u9120), _u9121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9117), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9117), _u9118), _u9120)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9117), _u9119), _u9121))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9122) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9122), _u9124), _u9125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), _u9124)) )).
% 13.05/13.26 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u9122) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9122), _u9124), _u9125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), _u9125)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9126), _u9127), _u9128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9126), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9126), _u9127), _u9129)), _u9128)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9130), _u9131), _u9132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9130), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9130), _u9133), _u9131)), _u9132)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9134, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9135), _u9136)), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9135), _u9137)) = hAPP(hAPP(c_Set_Oinsert(_u9134), _u9135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9134, tc_HOL_Obool)), _u9136), _u9137))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u9138) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9138), c_Orderings_Obot__class_Obot(_u9138)), _u9139) = c_Orderings_Obot__class_Obot(_u9138)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u9140) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9140), _u9141), c_Orderings_Obot__class_Obot(_u9140)) = c_Orderings_Obot__class_Obot(_u9140)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9142, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9142, tc_HOL_Obool))), _u9143) = c_Orderings_Obot__class_Obot(tc_fun(_u9142, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9144, tc_HOL_Obool)), _u9145), c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9153, tc_HOL_Obool)), _u9155), _u9157) != c_Orderings_Obot__class_Obot(tc_fun(_u9153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9153), _u9147), _u9155)) | ~hBOOL(hAPP(hAPP(c_member(_u9153), _u9146), _u9157)) | ( _u9147 != _u9146) )).
% 13.05/13.26 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, tc_HOL_Obool)), _u9156), _u9158) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9154), skolem137(_u9158, _u9156, _u9154)), _u9156)) )).
% 13.05/13.26 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, tc_HOL_Obool)), _u9156), _u9158) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9154), skolem138(_u9158, _u9156, _u9154)), _u9158)) )).
% 13.05/13.26 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, tc_HOL_Obool)), _u9156), _u9158) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | ( skolem137(_u9158, _u9156, _u9154) = skolem138(_u9158, _u9156, _u9154)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9159), _u9160), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9159, tc_HOL_Obool)), _u9161), _u9162))) | hBOOL(hAPP(hAPP(c_member(_u9159), _u9160), _u9162)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9163, tc_HOL_Obool)), _u9165), _u9166))) | hBOOL(hAPP(hAPP(c_member(_u9163), _u9164), _u9165)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9171, tc_HOL_Obool)), _u9175), _u9177))) | hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), _u9175)) )).
% 13.05/13.26 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9171, tc_HOL_Obool)), _u9175), _u9177))) | hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), _u9177)) )).
% 13.05/13.26 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9172), _u9174), _u9176)) | ~hBOOL(hAPP(hAPP(c_member(_u9172), _u9174), _u9178)) | hBOOL(hAPP(hAPP(c_member(_u9172), _u9174), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9176), _u9178))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), _u9180), _u9181)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), _u9181), _u9182))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), _u9182), _u9180)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), _u9180), _u9181)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), _u9181), _u9182))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), _u9182), _u9180))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9183, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9183, tc_HOL_Obool)), _u9184), _u9185)), _u9186) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9183, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9183, tc_HOL_Obool)), _u9184), _u9186)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9183, tc_HOL_Obool)), _u9185), _u9186))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9187, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9187, tc_HOL_Obool)), _u9188), _u9189)), _u9190) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9187, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9187, tc_HOL_Obool)), _u9188), _u9190)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9187, tc_HOL_Obool)), _u9189), _u9190))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9191, tc_HOL_Obool)), _u9192), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9191, tc_HOL_Obool)), _u9193), _u9194)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9191, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9191, tc_HOL_Obool)), _u9192), _u9193)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9191, tc_HOL_Obool)), _u9192), _u9194))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9195, tc_HOL_Obool)), _u9196), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9195, tc_HOL_Obool)), _u9197), _u9198)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9195, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9195, tc_HOL_Obool)), _u9196), _u9197)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9195, tc_HOL_Obool)), _u9196), _u9198))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9199) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9199), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9199), _u9200), _u9201)), _u9202) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9199), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9199), _u9200), _u9202)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9199), _u9201), _u9202))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9203) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9203), _u9204), _u9205)), _u9206) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9203), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9203), _u9204), _u9206)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9203), _u9205), _u9206))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9207) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9207), _u9208), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9207), _u9209), _u9210)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9207), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9207), _u9208), _u9209)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9207), _u9208), _u9210))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u9211) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9211), _u9212), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9211), _u9213), _u9214)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9211), _u9212), _u9213)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9211), _u9212), _u9214))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u9215) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9215), _u9216), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9215), _u9216), _u9217)) = _u9216) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u9218) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9218), _u9219), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9218), _u9219), _u9220)) = _u9219) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u9223, _u9224)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9221, tc_HOL_Obool)), _u9222), _u9223), _u9224)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u9226, _u9228)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9225, tc_HOL_Obool)), _u9226), _u9227), _u9228)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9229, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9229, tc_HOL_Obool)), _u9230), _u9231)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9229, tc_HOL_Obool)), _u9232), _u9231)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9229, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9229, tc_HOL_Obool)), _u9230), _u9231)), _u9232)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9233, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9233, tc_HOL_Obool)), _u9234), _u9235)), _u9236) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9233, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9233, tc_HOL_Obool)), _u9234), _u9236)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9233, tc_HOL_Obool)), _u9235), _u9236))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9237, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9237, tc_HOL_Obool)), _u9238), _u9239)), _u9240) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9237, tc_HOL_Obool)), _u9238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9237, tc_HOL_Obool)), _u9239), _u9240))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9242), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9241, tc_HOL_Obool)), _u9243), _u9244)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9241, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9242), _u9243)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9242), _u9244))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9245) | ~class_Orderings_Olinorder(_u9245) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u9245) = c_Orderings_Oord__class_Omin(_u9245)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u9246) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9247, _u9246)), _u9248), _u9249), _u9250) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9246), hAPP(_u9248, _u9250)), hAPP(_u9249, _u9250))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), _u9252), _u9253)), _u9254) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), _u9252), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), _u9253), _u9254))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9256), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9257), _u9258)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9256), _u9258))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9259, tc_HOL_Obool)), _u9260), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9259, tc_HOL_Obool)), _u9260), _u9261)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9259, tc_HOL_Obool)), _u9260), _u9261)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9262, tc_HOL_Obool)), _u9263), _u9264) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9262, tc_HOL_Obool)), _u9264), _u9263)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9265, tc_HOL_Obool)), _u9266), _u9266) = _u9266) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u9267) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9268, _u9267)), _u9269), _u9270), _u9271) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9267), hAPP(_u9269, _u9271)), hAPP(_u9270, _u9271))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), _u9273), _u9274)), _u9275) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), _u9273), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), _u9274), _u9275))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u9276) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), _u9277), _u9278)), _u9279) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), _u9277), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), _u9278), _u9279))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9280) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), _u9281), _u9282)), _u9283) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), _u9281), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), _u9282), _u9283))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9284) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9285), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9286), _u9287)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9286), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9285), _u9287))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u9288) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9289), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9290), _u9291)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9290), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9289), _u9291))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9292) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9293), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9294), _u9295)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9294), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9293), _u9295))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9296) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9296), _u9297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9296), _u9297), _u9298)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9296), _u9297), _u9298)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u9299) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9299), _u9300), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9299), _u9300), _u9301)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9299), _u9300), _u9301)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9302) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9302), _u9303), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9302), _u9303), _u9304)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9302), _u9303), _u9304)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9305) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9305), _u9306), _u9307) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9305), _u9307), _u9306)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u9308) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9308), _u9309), _u9310) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9308), _u9310), _u9309)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9311) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9311), _u9312), _u9313) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9311), _u9313), _u9312)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9314) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9314), _u9315), _u9315) = _u9315) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u9316) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9316), _u9317), _u9317) = _u9317) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u9318) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9318), _u9319), _u9319) = _u9319) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u9320) | ~c_Nat__Transfer_Onat__set(_u9321) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u9320), _u9321)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u9322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9322), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9322), _u9323), _u9324)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9322), _u9323), _u9325))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9322), _u9323), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9322), _u9324), _u9325)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u9326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9326), _u9327), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9326), _u9328), _u9329))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9326), _u9327), _u9328)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9326), _u9327), _u9329)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u9330) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9330), hAPP(c_Groups_Ouminus__class_Ouminus(_u9330), _u9331)), _u9331) = c_Orderings_Obot__class_Obot(_u9330)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u9332) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9332), _u9333), hAPP(c_Groups_Ouminus__class_Ouminus(_u9332), _u9333)) = c_Orderings_Obot__class_Obot(_u9332)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u9334) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9334), _u9335), _u9336) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9334), _u9335), hAPP(c_Groups_Ouminus__class_Ouminus(_u9334), _u9336))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u9337) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9337), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9337), _u9338), _u9339)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9337), hAPP(c_Groups_Ouminus__class_Ouminus(_u9337), _u9338)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9337), _u9339))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u9340) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9340), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9340), _u9341), _u9342)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9340), hAPP(c_Groups_Ouminus__class_Ouminus(_u9340), _u9341)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9340), _u9342))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9343), _u9344), _u9345)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9343, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9343), _u9344), _u9346)), _u9345) = hAPP(hAPP(c_Set_Oinsert(_u9343), _u9344), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9343, tc_HOL_Obool)), _u9346), _u9345))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9347), _u9348), _u9349)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9347, tc_HOL_Obool)), _u9349), hAPP(hAPP(c_Set_Oinsert(_u9347), _u9348), _u9350)) = hAPP(hAPP(c_Set_Oinsert(_u9347), _u9348), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9347, tc_HOL_Obool)), _u9349), _u9350))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9351), _u9352), _u9353)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9351, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9351), _u9352), _u9354)), _u9353) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9351, tc_HOL_Obool)), _u9354), _u9353)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9355), _u9356), _u9357)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9355, tc_HOL_Obool)), _u9357), hAPP(hAPP(c_Set_Oinsert(_u9355), _u9356), _u9358)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9355, tc_HOL_Obool)), _u9357), _u9358)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9363), _u9365), _u9367)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9363, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9363), _u9365), _u9369)), _u9367) = hAPP(hAPP(c_Set_Oinsert(_u9363), _u9365), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9363, tc_HOL_Obool)), _u9369), _u9367))) )).
% 13.05/13.26 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9364), _u9366), _u9368)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9364, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9364), _u9366), _u9370)), _u9368) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9364, tc_HOL_Obool)), _u9370), _u9368)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9375), _u9377), _u9379)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9375, tc_HOL_Obool)), _u9379), hAPP(hAPP(c_Set_Oinsert(_u9375), _u9377), _u9381)) = hAPP(hAPP(c_Set_Oinsert(_u9375), _u9377), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9375, tc_HOL_Obool)), _u9379), _u9381))) )).
% 13.05/13.26 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9376), _u9378), _u9380)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9376, tc_HOL_Obool)), _u9380), hAPP(hAPP(c_Set_Oinsert(_u9376), _u9378), _u9382)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9376, tc_HOL_Obool)), _u9380), _u9382)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9383, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9384, _u9383, _u9385), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9384, tc_HOL_Obool)), _u9386), _u9387))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9383, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9384, _u9383, _u9385), _u9386)), hAPP(c_Set_Oimage(_u9384, _u9383, _u9385), _u9387)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9388, tc_HOL_Obool)), _u9389), _u9390) != c_Orderings_Obot__class_Obot(tc_fun(_u9388, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9388, tc_HOL_Obool)), _u9389), _u9390) = _u9389) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9391, tc_HOL_Obool)), _u9392), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9391, tc_HOL_Obool)), _u9393), _u9392)) = c_Orderings_Obot__class_Obot(tc_fun(_u9391, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9398, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9398, tc_HOL_Obool)), _u9400), _u9402)), _u9404) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9398, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9398, tc_HOL_Obool)), _u9402), _u9404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9398, tc_HOL_Obool)), _u9404), _u9400)) )).
% 13.05/13.26 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9399, tc_HOL_Obool)), _u9405), _u9401)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9399, tc_HOL_Obool)), _u9401), _u9403)), _u9405) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9399, tc_HOL_Obool)), _u9401), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9399, tc_HOL_Obool)), _u9403), _u9405))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9406, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9406, tc_HOL_Obool)), _u9407), _u9408)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9406, tc_HOL_Obool)), _u9407), _u9408)) = _u9407) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9409, tc_HOL_Obool)), _u9410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9409, tc_HOL_Obool)), _u9411), _u9412)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9409, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9409, tc_HOL_Obool)), _u9410), _u9411)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9409, tc_HOL_Obool)), _u9410), _u9412))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9413, tc_HOL_Obool)), _u9414), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9413, tc_HOL_Obool)), _u9415), _u9416)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9413, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9413, tc_HOL_Obool)), _u9414), _u9415)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9413, tc_HOL_Obool)), _u9414), _u9416))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u9417), _u9418) = 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)), _u9417)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9418)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9419, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9419, tc_HOL_Obool)), _u9420)), _u9420) = c_Orderings_Obot__class_Obot(tc_fun(_u9419, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9421, tc_HOL_Obool)), _u9422), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9421, tc_HOL_Obool)), _u9422)) = c_Orderings_Obot__class_Obot(tc_fun(_u9421, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9423, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9424, _u9423, _u9425), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9424, tc_HOL_Obool)), _u9426), _u9427))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9423, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9424, _u9423, _u9425), _u9426)), hAPP(c_Relation_OImage(_u9424, _u9423, _u9425), _u9427)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9428, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9428, tc_HOL_Obool)), _u9429), _u9430)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9428, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9428, tc_HOL_Obool)), _u9429)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9428, tc_HOL_Obool)), _u9430))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9431, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9431, tc_HOL_Obool)), _u9432), _u9433)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9431, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9431, tc_HOL_Obool)), _u9432)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9431, tc_HOL_Obool)), _u9433))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9434, tc_HOL_Obool)), _u9435), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9434, tc_HOL_Obool)), _u9436)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9434, tc_HOL_Obool)), _u9435), _u9436)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9437, tc_HOL_Obool)), _u9438), _u9439) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9437, tc_HOL_Obool)), _u9438), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9437, tc_HOL_Obool)), _u9439))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u9440) | ~c_Nat__Transfer_Onat__set(_u9441) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u9440), _u9441) = 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), _u9440)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9441)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9445, tc_HOL_Obool)), _u9447), _u9449) != c_Orderings_Obot__class_Obot(tc_fun(_u9445, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9445, tc_HOL_Obool)), _u9447), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9445, tc_HOL_Obool)), _u9449))) )).
% 13.05/13.26 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9446, tc_HOL_Obool)), _u9448), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9446, tc_HOL_Obool)), _u9450))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9446, tc_HOL_Obool)), _u9448), _u9450) = c_Orderings_Obot__class_Obot(tc_fun(_u9446, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9452), _u9457)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9452), _u9458)) | ( hAPP(hAPP(_u9453, hAPP(_u9456, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9452, tc_HOL_Obool)), _u9457), _u9458))), hAPP(_u9456, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9452, tc_HOL_Obool)), _u9457), _u9458))) = hAPP(hAPP(_u9453, hAPP(_u9456, _u9457)), hAPP(_u9456, _u9458))) | ~c_Finite__Set_Ofolding__image__simple(_u9451, _u9452, _u9453, _u9454, _u9455, _u9456) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9459), hAPP(hAPP(c_Set_Oinsert(_u9459), _u9460), c_Orderings_Obot__class_Obot(tc_fun(_u9459, tc_HOL_Obool)))), _u9461) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9459, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9459, _u9459, _u9461), hAPP(hAPP(c_Set_Oinsert(_u9459), _u9460), c_Orderings_Obot__class_Obot(tc_fun(_u9459, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9459, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u9462, _u9463, _u9464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9462), _u9465)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9462), _u9466)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9462, tc_HOL_Obool)), _u9465), _u9466) = c_Orderings_Obot__class_Obot(tc_fun(_u9462, tc_HOL_Obool))) | ( hAPP(hAPP(_u9463, hAPP(_u9464, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9462, tc_HOL_Obool)), _u9465), _u9466))), hAPP(_u9464, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9462, tc_HOL_Obool)), _u9465), _u9466))) = hAPP(hAPP(_u9463, hAPP(_u9464, _u9465)), hAPP(_u9464, _u9466))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u9467, _u9468, _u9469) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9467), _u9470)) | ( _u9470 = c_Orderings_Obot__class_Obot(tc_fun(_u9467, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9467), _u9471)) | ( _u9471 = c_Orderings_Obot__class_Obot(tc_fun(_u9467, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9467, tc_HOL_Obool)), _u9470), _u9471) != c_Orderings_Obot__class_Obot(tc_fun(_u9467, tc_HOL_Obool))) | ( hAPP(_u9469, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9467, tc_HOL_Obool)), _u9470), _u9471)) = hAPP(hAPP(_u9468, hAPP(_u9469, _u9470)), hAPP(_u9469, _u9471))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9473), _u9478)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9473), _u9479)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9473, tc_HOL_Obool)), _u9478), _u9479) != c_Orderings_Obot__class_Obot(tc_fun(_u9473, tc_HOL_Obool))) | ( hAPP(_u9477, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9473, tc_HOL_Obool)), _u9478), _u9479)) = hAPP(hAPP(_u9474, hAPP(_u9477, _u9478)), hAPP(_u9477, _u9479))) | ~c_Finite__Set_Ofolding__image__simple(_u9472, _u9473, _u9474, _u9475, _u9476, _u9477) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9480), _u9481), _u9482)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9480, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9480, _u9480, _u9483), hAPP(hAPP(c_Set_Oinsert(_u9480), _u9481), c_Orderings_Obot__class_Obot(tc_fun(_u9480, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9480), _u9482), _u9483))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u9484, _u9485, _u9486) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9487), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9488), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9489), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9490), _u9488)) | ( _u9487 != _u9488) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9484, _u9484)), hAPP(hAPP(c_Product__Type_OPair(_u9484, _u9484), _u9489), _u9490)), _u9486)) )).
% 13.05/13.26 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u9484, _u9485, _u9486) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9487), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9488), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9489), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9490), _u9488)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9484, _u9484)), hAPP(hAPP(c_Product__Type_OPair(_u9484, _u9484), _u9489), _u9490)), _u9486)) | ( _u9487 = _u9488) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u9491, _u9492, _u9493) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9491, tc_HOL_Obool)), _u9494), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9491), _u9492), _u9493))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9491, tc_HOL_Obool)), _u9495), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9491), _u9492), _u9493))) | ~hBOOL(hAPP(hAPP(c_member(_u9491), _u9496), _u9494)) | ~hBOOL(hAPP(hAPP(c_member(_u9491), _u9497), _u9495)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9491, _u9491)), hAPP(hAPP(c_Product__Type_OPair(_u9491, _u9491), _u9496), _u9497)), _u9493)) | ( _u9494 = _u9495) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OgreaterThanLessThan__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OgreaterThanLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9498), _u9499)) | ( 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)))), _u9499, _u9498) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OlessThan__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OlessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9502), c_SetInterval_Oord_OlessThan(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)))), _u9504))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9502), _u9504)) )).
% 13.05/13.26 cnf(fact_dvd_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9502), c_SetInterval_Oord_OlessThan(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)))), _u9504))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9504), _u9502)) )).
% 13.05/13.26 cnf(fact_dvd_OlessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9503), _u9505)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9505), _u9503)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9503), c_SetInterval_Oord_OlessThan(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)))), _u9505))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OgreaterThan__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OgreaterThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9508), c_SetInterval_Oord_OgreaterThan(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)))), _u9510))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9510), _u9508)) )).
% 13.05/13.26 cnf(fact_dvd_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9508), c_SetInterval_Oord_OgreaterThan(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)))), _u9510))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9508), _u9510)) )).
% 13.05/13.26 cnf(fact_dvd_OgreaterThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9511), _u9509)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9509), _u9511)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9509), c_SetInterval_Oord_OgreaterThan(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)))), _u9511))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatMost__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9514), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9516))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9514), _u9516)) )).
% 13.05/13.26 cnf(fact_dvd_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9515), _u9517)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9515), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9517))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9524, tc_fun(_u9526, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9524, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), _u9524), c_COMBC(_u9526, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_prod(_u9524, _u9526)), tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), _u9524), hAPP(c_COMBB(tc_prod(_u9524, _u9526), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool), _u9526), c_member(tc_prod(_u9524, _u9526)))), c_Product__Type_OPair(_u9524, _u9526)))), _u9528)), hAPP(hAPP(c_COMBC(_u9524, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), _u9524), c_COMBC(_u9526, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_prod(_u9524, _u9526)), tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), _u9524), hAPP(c_COMBB(tc_prod(_u9524, _u9526), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool), _u9526), c_member(tc_prod(_u9524, _u9526)))), c_Product__Type_OPair(_u9524, _u9526)))), _u9530)), _u9532), _u9534)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9524, _u9526)), hAPP(hAPP(c_Product__Type_OPair(_u9524, _u9526), _u9532), _u9534)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool)), _u9528), _u9530))) )).
% 13.05/13.26 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9525, _u9527)), hAPP(hAPP(c_Product__Type_OPair(_u9525, _u9527), _u9533), _u9535)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool)), _u9529), _u9531))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9525, tc_fun(_u9527, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9525, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), _u9525), c_COMBC(_u9527, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_prod(_u9525, _u9527)), tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), _u9525), hAPP(c_COMBB(tc_prod(_u9525, _u9527), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool), _u9527), c_member(tc_prod(_u9525, _u9527)))), c_Product__Type_OPair(_u9525, _u9527)))), _u9529)), hAPP(hAPP(c_COMBC(_u9525, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), _u9525), c_COMBC(_u9527, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_prod(_u9525, _u9527)), tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), _u9525), hAPP(c_COMBB(tc_prod(_u9525, _u9527), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool), _u9527), c_member(tc_prod(_u9525, _u9527)))), c_Product__Type_OPair(_u9525, _u9527)))), _u9531)), _u9533), _u9535)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9541), _u9543), c_SetInterval_Oord_OgreaterThanLessThan(_u9541, _u9545, _u9547, _u9549))) | hBOOL(hAPP(hAPP(_u9545, _u9547), _u9543)) )).
% 13.05/13.26 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9541), _u9543), c_SetInterval_Oord_OgreaterThanLessThan(_u9541, _u9545, _u9547, _u9549))) | hBOOL(hAPP(hAPP(_u9545, _u9543), _u9549)) )).
% 13.05/13.26 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9546, _u9548), _u9544)) | ~hBOOL(hAPP(hAPP(_u9546, _u9544), _u9550)) | hBOOL(hAPP(hAPP(c_member(_u9542), _u9544), c_SetInterval_Oord_OgreaterThanLessThan(_u9542, _u9546, _u9548, _u9550))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9559, _u9561), _u9557)) | ~hBOOL(hAPP(hAPP(c_member(_u9555), _u9557), c_SetInterval_Oord_OgreaterThan(_u9555, _u9559, _u9561))) )).
% 13.05/13.26 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9560, _u9562), _u9558)) | hBOOL(hAPP(hAPP(c_member(_u9556), _u9558), c_SetInterval_Oord_OgreaterThan(_u9556, _u9560, _u9562))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9571, _u9569), _u9573)) | ~hBOOL(hAPP(hAPP(c_member(_u9567), _u9569), c_SetInterval_Oord_OlessThan(_u9567, _u9571, _u9573))) )).
% 13.05/13.26 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9572, _u9570), _u9574)) | hBOOL(hAPP(hAPP(c_member(_u9568), _u9570), c_SetInterval_Oord_OlessThan(_u9568, _u9572, _u9574))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9583, _u9581), _u9585)) | ~hBOOL(hAPP(hAPP(c_member(_u9579), _u9581), c_SetInterval_Oord_OatMost(_u9579, _u9583, _u9585))) )).
% 13.05/13.26 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9584, _u9582), _u9586)) | hBOOL(hAPP(hAPP(c_member(_u9580), _u9582), c_SetInterval_Oord_OatMost(_u9580, _u9584, _u9586))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeast__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeast__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9589), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9591))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9591), _u9589)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9592), _u9590)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9590), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9592))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9594, tc_HOL_Obool)), _u9595), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9594), _u9596), _u9597))) | ( _u9595 = hAPP(c_Relation_OImage(_u9594, _u9594, _u9597), hAPP(hAPP(c_Set_Oinsert(_u9594), skolem139(_u9597, _u9596, _u9595, _u9594)), c_Orderings_Obot__class_Obot(tc_fun(_u9594, tc_HOL_Obool))))) )).
% 13.05/13.26 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9594, tc_HOL_Obool)), _u9595), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9594), _u9596), _u9597))) | hBOOL(hAPP(hAPP(c_member(_u9594), skolem139(_u9597, _u9596, _u9595, _u9594)), _u9596)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9604), _u9606), c_SetInterval_Oord_OgreaterThanAtMost(_u9604, _u9608, _u9610, _u9612, _u9614))) | hBOOL(hAPP(hAPP(_u9610, _u9612), _u9606)) )).
% 13.05/13.26 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9604), _u9606), c_SetInterval_Oord_OgreaterThanAtMost(_u9604, _u9608, _u9610, _u9612, _u9614))) | hBOOL(hAPP(hAPP(_u9608, _u9606), _u9614)) )).
% 13.05/13.26 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9611, _u9613), _u9607)) | ~hBOOL(hAPP(hAPP(_u9609, _u9607), _u9615)) | hBOOL(hAPP(hAPP(c_member(_u9605), _u9607), c_SetInterval_Oord_OgreaterThanAtMost(_u9605, _u9609, _u9611, _u9613, _u9615))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9622), _u9624), c_SetInterval_Oord_OatLeastLessThan(_u9622, _u9626, _u9628, _u9630, _u9632))) | hBOOL(hAPP(hAPP(_u9626, _u9630), _u9624)) )).
% 13.05/13.26 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9622), _u9624), c_SetInterval_Oord_OatLeastLessThan(_u9622, _u9626, _u9628, _u9630, _u9632))) | hBOOL(hAPP(hAPP(_u9628, _u9624), _u9632)) )).
% 13.05/13.26 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9627, _u9631), _u9625)) | ~hBOOL(hAPP(hAPP(_u9629, _u9625), _u9633)) | hBOOL(hAPP(hAPP(c_member(_u9623), _u9625), c_SetInterval_Oord_OatLeastLessThan(_u9623, _u9627, _u9629, _u9631, _u9633))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9634, tc_fun(_u9635, tc_HOL_Obool))), _u9636), _u9637), _u9638), _u9639)) | hBOOL(hAPP(hAPP(_u9636, _u9638), _u9639)) )).
% 13.05/13.26 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9634, tc_fun(_u9635, tc_HOL_Obool))), _u9636), _u9637), _u9638), _u9639)) | hBOOL(hAPP(hAPP(_u9637, _u9638), _u9639)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u9640, _u9641), _u9642)) | ~hBOOL(hAPP(hAPP(_u9643, _u9641), _u9642)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9644, tc_fun(_u9645, tc_HOL_Obool))), _u9640), _u9643), _u9641), _u9642)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u9649, _u9650), _u9651)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9646, tc_fun(_u9647, tc_HOL_Obool))), _u9648), _u9649), _u9650), _u9651)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u9654, _u9656), _u9657)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9652, tc_fun(_u9653, tc_HOL_Obool))), _u9654), _u9655), _u9656), _u9657)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastLessThan__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u9660, _u9662)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9660), _u9662)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9662), _u9660)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastLessThan__empty__iff2-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u9661, _u9663)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9661), _u9663)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastLessThan__empty__iff2-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u9661, _u9663)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9663), _u9661)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 13.05/13.26 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)))), _u9666, _u9668)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9666), _u9668)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9668), _u9666)) )).
% 13.05/13.26 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)))), _u9667, _u9669)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9667), _u9669)) )).
% 13.05/13.26 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)))), _u9667, _u9669)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9669), _u9667)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 13.05/13.26 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)))), _u9672, _u9674) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9672), _u9674)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9674), _u9672)) )).
% 13.05/13.26 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)))), _u9673, _u9675) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9673), _u9675)) )).
% 13.05/13.26 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)))), _u9673, _u9675) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9675), _u9673)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 13.05/13.26 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)))), _u9678, _u9680) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9678), _u9680)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9680), _u9678)) )).
% 13.05/13.26 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)))), _u9679, _u9681) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9679), _u9681)) )).
% 13.05/13.26 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)))), _u9679, _u9681) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9681), _u9679)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastLessThan__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9682), _u9683)) | ( 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)))), _u9683, _u9682) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OgreaterThanAtMost__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OgreaterThanAtMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9684), _u9685)) | ( 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)))), _u9685, _u9684) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u9694, _u9696), _u9692)) | ~hBOOL(hAPP(hAPP(c_member(_u9690), _u9692), c_SetInterval_Oord_OatLeast(_u9690, _u9694, _u9696))) )).
% 13.05/13.26 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u9695, _u9697), _u9693)) | hBOOL(hAPP(hAPP(c_member(_u9691), _u9693), c_SetInterval_Oord_OatLeast(_u9691, _u9695, _u9697))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9703), _u9705), c_SetInterval_Oord_OatLeastAtMost(_u9703, _u9707, _u9709, _u9711))) | hBOOL(hAPP(hAPP(_u9707, _u9709), _u9705)) )).
% 13.05/13.26 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9703), _u9705), c_SetInterval_Oord_OatLeastAtMost(_u9703, _u9707, _u9709, _u9711))) | hBOOL(hAPP(hAPP(_u9707, _u9705), _u9711)) )).
% 13.05/13.26 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u9708, _u9710), _u9706)) | ~hBOOL(hAPP(hAPP(_u9708, _u9706), _u9712)) | hBOOL(hAPP(hAPP(c_member(_u9704), _u9706), c_SetInterval_Oord_OatLeastAtMost(_u9704, _u9708, _u9710, _u9712))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u9713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), _u9714)) | ~hBOOL(hAPP(hAPP(c_member(_u9713), _u9715), _u9714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9713, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9713, _u9714) = _u9715) )).
% 13.05/13.26 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u9713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), _u9714)) | ~hBOOL(hAPP(hAPP(c_member(_u9713), _u9715), _u9714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9713, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9713, _u9714) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9713), _u9715), c_Big__Operators_Olattice__class_OInf__fin(_u9713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9713, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u9716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9716), _u9717)) | ~hBOOL(hAPP(hAPP(c_member(_u9716), _u9718), _u9717)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9716, tc_HOL_Obool)), _u9717), hAPP(hAPP(c_Set_Oinsert(_u9716), _u9718), c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9716, _u9717) = _u9718) )).
% 13.05/13.26 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u9716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9716), _u9717)) | ~hBOOL(hAPP(hAPP(c_member(_u9716), _u9718), _u9717)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9716, tc_HOL_Obool)), _u9717), hAPP(hAPP(c_Set_Oinsert(_u9716), _u9718), c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9716, _u9717) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9716), _u9718), c_Big__Operators_Olattice__class_OSup__fin(_u9716, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9716, tc_HOL_Obool)), _u9717), hAPP(hAPP(c_Set_Oinsert(_u9716), _u9718), c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9719), _u9720)) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9721), _u9720)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9719, tc_HOL_Obool)), _u9720), hAPP(hAPP(c_Set_Oinsert(_u9719), _u9721), c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9719, _u9720) = _u9721) )).
% 13.05/13.26 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9719), _u9720)) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9721), _u9720)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9719, tc_HOL_Obool)), _u9720), hAPP(hAPP(c_Set_Oinsert(_u9719), _u9721), c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9719, _u9720) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9719), _u9721), c_Big__Operators_Olinorder__class_OMax(_u9719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9719, tc_HOL_Obool)), _u9720), hAPP(hAPP(c_Set_Oinsert(_u9719), _u9721), c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u9722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9722), _u9723)) | ( _u9723 = c_Orderings_Obot__class_Obot(tc_fun(_u9722, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9722), c_Big__Operators_Olattice__class_OInf__fin(_u9722, _u9723)), c_Big__Operators_Olattice__class_OSup__fin(_u9722, _u9723))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9724) | ( c_Big__Operators_Olinorder__class_OMax(_u9724, hAPP(hAPP(c_Set_Oinsert(_u9724), _u9725), c_Orderings_Obot__class_Obot(tc_fun(_u9724, tc_HOL_Obool)))) = _u9725) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u9726) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9726, hAPP(hAPP(c_Set_Oinsert(_u9726), _u9727), c_Orderings_Obot__class_Obot(tc_fun(_u9726, tc_HOL_Obool)))) = _u9727) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u9728) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9728, hAPP(hAPP(c_Set_Oinsert(_u9728), _u9729), c_Orderings_Obot__class_Obot(tc_fun(_u9728, tc_HOL_Obool)))) = _u9729) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u9730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9730), _u9731)) | ~hBOOL(hAPP(hAPP(c_member(_u9730), _u9732), _u9731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9730), _u9732), c_Big__Operators_Olinorder__class_OMax(_u9730, _u9731))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u9733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9733), _u9734)) | ( _u9734 = c_Orderings_Obot__class_Obot(tc_fun(_u9733, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9733), c_Big__Operators_Olinorder__class_OMax(_u9733, _u9734)), _u9734)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u9735) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), _u9736)) | ~hBOOL(hAPP(hAPP(c_member(_u9735), _u9737), _u9736)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9735), _u9737), c_Big__Operators_Olattice__class_OInf__fin(_u9735, _u9736)) = _u9737) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u9738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9738), _u9739)) | ~hBOOL(hAPP(hAPP(c_member(_u9738), _u9740), _u9739)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9738), _u9740), c_Big__Operators_Olattice__class_OSup__fin(_u9738, _u9739)) = c_Big__Operators_Olattice__class_OSup__fin(_u9738, _u9739)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u9741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9741), _u9742)) | ~hBOOL(hAPP(hAPP(c_member(_u9741), _u9743), _u9742)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9741), _u9743), c_Big__Operators_Olattice__class_OInf__fin(_u9741, _u9742)) = c_Big__Operators_Olattice__class_OInf__fin(_u9741, _u9742)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u9744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9744), _u9745)) | ~hBOOL(hAPP(hAPP(c_member(_u9744), _u9746), _u9745)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9744), _u9746), c_Big__Operators_Olattice__class_OSup__fin(_u9744, _u9745)) = _u9746) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9747), _u9748)) | ~hBOOL(hAPP(hAPP(c_member(_u9747), _u9749), _u9748)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9747), _u9749), c_Big__Operators_Olinorder__class_OMax(_u9747, _u9748)) = c_Big__Operators_Olinorder__class_OMax(_u9747, _u9748)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9752, _u9754)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9752), _u9754)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__empty__iff2-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9753), _u9755)) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9753, _u9755)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastatMost__empty__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9758, _u9760) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9758), _u9760)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__empty__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9759), _u9761)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9759, _u9761) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastatMost__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9762), _u9763)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9763), _u9762)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9763, _u9762) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastAtMost__singleton_H-1, axiom, ( ( _u9764 != _u9765) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9764, _u9765) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9764), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastAtMost__singleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastAtMost__singleton-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9766, _u9766) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9766), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastAtMost__singleton__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9770, _u9772) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9774), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9770 = _u9772) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastAtMost__singleton__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9770, _u9772) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9774), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9772 = _u9774) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastAtMost__singleton__iff-3, axiom, ( ( _u9771 != _u9773) | ( _u9773 != _u9775) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9771, _u9773) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9775), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u9776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9776, tc_HOL_Obool)), _u9777), _u9778)) | ( _u9777 = c_Orderings_Obot__class_Obot(tc_fun(_u9776, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9776), c_Big__Operators_Olinorder__class_OMax(_u9776, _u9777)), c_Big__Operators_Olinorder__class_OMax(_u9776, _u9778))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u9779) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9779), _u9780)) | ( _u9780 = c_Orderings_Obot__class_Obot(tc_fun(_u9779, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9779, hAPP(hAPP(c_Set_Oinsert(_u9779), _u9781), _u9780)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9779), _u9781), c_Big__Operators_Olattice__class_OSup__fin(_u9779, _u9780))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u9782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9782), _u9783)) | ( _u9783 = c_Orderings_Obot__class_Obot(tc_fun(_u9782, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9782, hAPP(hAPP(c_Set_Oinsert(_u9782), _u9784), _u9783)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9782), _u9784), c_Big__Operators_Olattice__class_OInf__fin(_u9782, _u9783))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9785) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9785), _u9786)) | ( _u9786 = c_Orderings_Obot__class_Obot(tc_fun(_u9785, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9785, hAPP(hAPP(c_Set_Oinsert(_u9785), _u9787), _u9786)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9785), _u9787), c_Big__Operators_Olinorder__class_OMax(_u9785, _u9786))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u9788) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9788), _u9789)) | ( _u9790 = c_Orderings_Obot__class_Obot(tc_fun(_u9788, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9788, tc_HOL_Obool)), _u9790), _u9789)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9788), c_Big__Operators_Olattice__class_OSup__fin(_u9788, _u9790)), c_Big__Operators_Olattice__class_OSup__fin(_u9788, _u9789)) = c_Big__Operators_Olattice__class_OSup__fin(_u9788, _u9789)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u9791) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9791), _u9792)) | ( _u9793 = c_Orderings_Obot__class_Obot(tc_fun(_u9791, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9791, tc_HOL_Obool)), _u9793), _u9792)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9791), c_Big__Operators_Olattice__class_OInf__fin(_u9791, _u9793)), c_Big__Operators_Olattice__class_OInf__fin(_u9791, _u9792)) = c_Big__Operators_Olattice__class_OInf__fin(_u9791, _u9792)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u9794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9794), _u9795)) | ( _u9795 = c_Orderings_Obot__class_Obot(tc_fun(_u9794, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9794), _u9796)) | ( _u9796 = c_Orderings_Obot__class_Obot(tc_fun(_u9794, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9794, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9794, tc_HOL_Obool)), _u9795), _u9796)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9794), c_Big__Operators_Olattice__class_OSup__fin(_u9794, _u9795)), c_Big__Operators_Olattice__class_OSup__fin(_u9794, _u9796))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9798)) | ( _u9799 = c_Orderings_Obot__class_Obot(tc_fun(_u9797, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9797, tc_HOL_Obool)), _u9799), _u9798)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9797), c_Big__Operators_Olinorder__class_OMax(_u9797, _u9799)), c_Big__Operators_Olinorder__class_OMax(_u9797, _u9798)) = c_Big__Operators_Olinorder__class_OMax(_u9797, _u9798)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u9800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9800), _u9801)) | ( _u9801 = c_Orderings_Obot__class_Obot(tc_fun(_u9800, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9800), _u9802)) | ( _u9802 = c_Orderings_Obot__class_Obot(tc_fun(_u9800, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9800, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9800, tc_HOL_Obool)), _u9801), _u9802)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9800), c_Big__Operators_Olattice__class_OInf__fin(_u9800, _u9801)), c_Big__Operators_Olattice__class_OInf__fin(_u9800, _u9802))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9803), _u9804)) | ( _u9804 = c_Orderings_Obot__class_Obot(tc_fun(_u9803, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9803), _u9805)) | ( _u9805 = c_Orderings_Obot__class_Obot(tc_fun(_u9803, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9803, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9803, tc_HOL_Obool)), _u9804), _u9805)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9803), c_Big__Operators_Olinorder__class_OMax(_u9803, _u9804)), c_Big__Operators_Olinorder__class_OMax(_u9803, _u9805))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastatMost__subset__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810, _u9812)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9814, _u9816))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810), _u9812)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9814), _u9810)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__subset__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810, _u9812)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9814, _u9816))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810), _u9812)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9812), _u9816)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9811, _u9813)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9815, _u9817))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9811), _u9813)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__subset__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9811, _u9813)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9815, _u9817))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9815), _u9811)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9813), _u9817)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd_OatLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9822)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9824), _u9828)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9822)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9824), _u9828)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9822)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9828), _u9824)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9826)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9824), _u9828)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-6, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9826)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9828), _u9824)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-7, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9828)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823, _u9825)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827, _u9829))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9829)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823), _u9825)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823, _u9825)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827, _u9829))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9825), _u9829)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823), _u9827)) )).
% 13.05/13.26 cnf(fact_dvd_OatLeastatMost__psubset__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823, _u9825)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827, _u9829))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9825), _u9829)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9829), _u9825)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u9830) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9830), _u9831)) | hBOOL(hAPP(hAPP(c_member(_u9830), _u9832), _u9831)) | ( _u9831 = c_Orderings_Obot__class_Obot(tc_fun(_u9830, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9830, hAPP(hAPP(c_Set_Oinsert(_u9830), _u9832), _u9831)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9830), _u9832), c_Big__Operators_Olattice__class_OSup__fin(_u9830, _u9831))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u9833) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9833), _u9834)) | hBOOL(hAPP(hAPP(c_member(_u9833), _u9835), _u9834)) | ( _u9834 = c_Orderings_Obot__class_Obot(tc_fun(_u9833, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9833, hAPP(hAPP(c_Set_Oinsert(_u9833), _u9835), _u9834)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9833), _u9835), c_Big__Operators_Olattice__class_OInf__fin(_u9833, _u9834))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9836) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9836), _u9837)) | hBOOL(hAPP(hAPP(c_member(_u9836), _u9838), _u9837)) | ( _u9837 = c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9836, hAPP(hAPP(c_Set_Oinsert(_u9836), _u9838), _u9837)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9836), _u9838), c_Big__Operators_Olinorder__class_OMax(_u9836, _u9837))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u9839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9839), _u9840)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9839, tc_HOL_Obool)), _u9840), hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9839, hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), _u9840)) = _u9841) )).
% 13.05/13.26 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u9839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9839), _u9840)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9839, tc_HOL_Obool)), _u9840), hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9839, hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), _u9840)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9839), _u9841), c_Big__Operators_Olattice__class_OSup__fin(_u9839, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9839, tc_HOL_Obool)), _u9840), hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u9842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9842), _u9843)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9842, tc_HOL_Obool)), _u9843), hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9842, hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), _u9843)) = _u9844) )).
% 13.05/13.26 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u9842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9842), _u9843)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9842, tc_HOL_Obool)), _u9843), hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9842, hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), _u9843)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9842), _u9844), c_Big__Operators_Olattice__class_OInf__fin(_u9842, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9842, tc_HOL_Obool)), _u9843), hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u9845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9845), _u9846)) | ( _u9846 = c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9845), _u9847)) | ( _u9847 = c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9845, tc_HOL_Obool)), _u9846), _u9847) != c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9845, tc_HOL_Obool)), _u9846), _u9847)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9845), c_Big__Operators_Olattice__class_OSup__fin(_u9845, _u9846)), c_Big__Operators_Olattice__class_OSup__fin(_u9845, _u9847))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u9848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9848), _u9849)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9848), _u9850)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9848, tc_HOL_Obool)), _u9849), _u9850) = c_Orderings_Obot__class_Obot(tc_fun(_u9848, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9848), c_Big__Operators_Olattice__class_OSup__fin(_u9848, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9848, tc_HOL_Obool)), _u9849), _u9850))), c_Big__Operators_Olattice__class_OSup__fin(_u9848, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9848, tc_HOL_Obool)), _u9849), _u9850))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9848), c_Big__Operators_Olattice__class_OSup__fin(_u9848, _u9849)), c_Big__Operators_Olattice__class_OSup__fin(_u9848, _u9850))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9851) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9851), _u9852)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9851, tc_HOL_Obool)), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9851, hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), _u9852)) = _u9853) )).
% 13.05/13.26 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9851) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9851), _u9852)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9851, tc_HOL_Obool)), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9851, hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), _u9852)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9851), _u9853), c_Big__Operators_Olinorder__class_OMax(_u9851, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9851, tc_HOL_Obool)), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u9854) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9854), _u9855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9854), _u9856)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9854, tc_HOL_Obool)), _u9855), _u9856) = c_Orderings_Obot__class_Obot(tc_fun(_u9854, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9854), c_Big__Operators_Olattice__class_OInf__fin(_u9854, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9854, tc_HOL_Obool)), _u9855), _u9856))), c_Big__Operators_Olattice__class_OInf__fin(_u9854, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9854, tc_HOL_Obool)), _u9855), _u9856))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9854), c_Big__Operators_Olattice__class_OInf__fin(_u9854, _u9855)), c_Big__Operators_Olattice__class_OInf__fin(_u9854, _u9856))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u9857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9857), _u9858)) | ( _u9858 = c_Orderings_Obot__class_Obot(tc_fun(_u9857, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9857), _u9859)) | ( _u9859 = c_Orderings_Obot__class_Obot(tc_fun(_u9857, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9857, tc_HOL_Obool)), _u9858), _u9859) != c_Orderings_Obot__class_Obot(tc_fun(_u9857, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9857, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9857, tc_HOL_Obool)), _u9858), _u9859)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9857), c_Big__Operators_Olattice__class_OInf__fin(_u9857, _u9858)), c_Big__Operators_Olattice__class_OInf__fin(_u9857, _u9859))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9860) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9860), _u9861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9860), _u9862)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9860, tc_HOL_Obool)), _u9861), _u9862) = c_Orderings_Obot__class_Obot(tc_fun(_u9860, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9860), c_Big__Operators_Olinorder__class_OMax(_u9860, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9860, tc_HOL_Obool)), _u9861), _u9862))), c_Big__Operators_Olinorder__class_OMax(_u9860, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9860, tc_HOL_Obool)), _u9861), _u9862))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9860), c_Big__Operators_Olinorder__class_OMax(_u9860, _u9861)), c_Big__Operators_Olinorder__class_OMax(_u9860, _u9862))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9863) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), _u9864)) | ( _u9864 = c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), _u9865)) | ( _u9865 = c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9863, tc_HOL_Obool)), _u9864), _u9865) != c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9863, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9863, tc_HOL_Obool)), _u9864), _u9865)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9863), c_Big__Operators_Olinorder__class_OMax(_u9863, _u9864)), c_Big__Operators_Olinorder__class_OMax(_u9863, _u9865))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9868), _u9869)) | ( _u9869 = c_Orderings_Obot__class_Obot(tc_fun(_u9868, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9868), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9868), skolem140(_u9869, _u9868)), skolem141(_u9869, _u9868))), hAPP(hAPP(c_Set_Oinsert(_u9868), skolem140(_u9869, _u9868)), hAPP(hAPP(c_Set_Oinsert(_u9868), skolem141(_u9869, _u9868)), c_Orderings_Obot__class_Obot(tc_fun(_u9868, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9868), c_Big__Operators_Olinorder__class_OMax(_u9868, _u9869)), _u9869)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u9872) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9872), _u9873)) | ( _u9873 = c_Orderings_Obot__class_Obot(tc_fun(_u9872, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9872), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9872), skolem142(_u9873, _u9872)), skolem143(_u9873, _u9872))), hAPP(hAPP(c_Set_Oinsert(_u9872), skolem142(_u9873, _u9872)), hAPP(hAPP(c_Set_Oinsert(_u9872), skolem143(_u9873, _u9872)), c_Orderings_Obot__class_Obot(tc_fun(_u9872, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9872), c_Big__Operators_Olattice__class_OInf__fin(_u9872, _u9873)), _u9873)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u9876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), _u9877)) | ( _u9877 = c_Orderings_Obot__class_Obot(tc_fun(_u9876, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9876), skolem144(_u9877, _u9876)), skolem145(_u9877, _u9876))), hAPP(hAPP(c_Set_Oinsert(_u9876), skolem144(_u9877, _u9876)), hAPP(hAPP(c_Set_Oinsert(_u9876), skolem145(_u9877, _u9876)), c_Orderings_Obot__class_Obot(tc_fun(_u9876, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9876), c_Big__Operators_Olattice__class_OSup__fin(_u9876, _u9877)), _u9877)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9878), _u9879)) | ~hBOOL(hAPP(hAPP(c_member(_u9878), _u9880), _u9879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9878, tc_HOL_Obool)), _u9879), hAPP(hAPP(c_Set_Oinsert(_u9878), _u9880), c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9878, _u9879) = _u9880) )).
% 13.05/13.26 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9878), _u9879)) | ~hBOOL(hAPP(hAPP(c_member(_u9878), _u9880), _u9879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9878, tc_HOL_Obool)), _u9879), hAPP(hAPP(c_Set_Oinsert(_u9878), _u9880), c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9878, _u9879) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9878), _u9880), c_Big__Operators_Olinorder__class_OMin(_u9878, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9878, tc_HOL_Obool)), _u9879), hAPP(hAPP(c_Set_Oinsert(_u9878), _u9880), c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9881) | ( c_Big__Operators_Olinorder__class_OMin(_u9881, hAPP(hAPP(c_Set_Oinsert(_u9881), _u9882), c_Orderings_Obot__class_Obot(tc_fun(_u9881, tc_HOL_Obool)))) = _u9882) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u9883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9883), _u9884)) | ~hBOOL(hAPP(hAPP(c_member(_u9883), _u9885), _u9884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9883), c_Big__Operators_Olinorder__class_OMin(_u9883, _u9884)), _u9885)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u9886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9886), _u9887)) | ( _u9887 = c_Orderings_Obot__class_Obot(tc_fun(_u9886, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9886), c_Big__Operators_Olinorder__class_OMin(_u9886, _u9887)), _u9887)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9888), _u9889)) | ~hBOOL(hAPP(hAPP(c_member(_u9888), _u9890), _u9889)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9888), _u9890), c_Big__Operators_Olinorder__class_OMin(_u9888, _u9889)) = c_Big__Operators_Olinorder__class_OMin(_u9888, _u9889)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u9891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9891, tc_HOL_Obool)), _u9892), _u9893)) | ( _u9892 = c_Orderings_Obot__class_Obot(tc_fun(_u9891, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9891), _u9893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9891), c_Big__Operators_Olinorder__class_OMin(_u9891, _u9893)), c_Big__Operators_Olinorder__class_OMin(_u9891, _u9892))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9894), _u9895)) | ( _u9895 = c_Orderings_Obot__class_Obot(tc_fun(_u9894, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9894, hAPP(hAPP(c_Set_Oinsert(_u9894), _u9896), _u9895)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9894), _u9896), c_Big__Operators_Olinorder__class_OMin(_u9894, _u9895))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9897), _u9898)) | ( _u9899 = c_Orderings_Obot__class_Obot(tc_fun(_u9897, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9897, tc_HOL_Obool)), _u9899), _u9898)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9897), c_Big__Operators_Olinorder__class_OMin(_u9897, _u9899)), c_Big__Operators_Olinorder__class_OMin(_u9897, _u9898)) = c_Big__Operators_Olinorder__class_OMin(_u9897, _u9898)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9900), _u9901)) | ( _u9901 = c_Orderings_Obot__class_Obot(tc_fun(_u9900, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9900), _u9902)) | ( _u9902 = c_Orderings_Obot__class_Obot(tc_fun(_u9900, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9900, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9900, tc_HOL_Obool)), _u9901), _u9902)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9900), c_Big__Operators_Olinorder__class_OMin(_u9900, _u9901)), c_Big__Operators_Olinorder__class_OMin(_u9900, _u9902))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9903), _u9904)) | hBOOL(hAPP(hAPP(c_member(_u9903), _u9905), _u9904)) | ( _u9904 = c_Orderings_Obot__class_Obot(tc_fun(_u9903, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9903, hAPP(hAPP(c_Set_Oinsert(_u9903), _u9905), _u9904)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9903), _u9905), c_Big__Operators_Olinorder__class_OMin(_u9903, _u9904))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9906), _u9907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9906, hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), _u9907)) = _u9908) )).
% 13.05/13.26 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9906), _u9907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9906, hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), _u9907)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9906), _u9908), c_Big__Operators_Olinorder__class_OMin(_u9906, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9909), _u9910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9909), _u9911)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9909, tc_HOL_Obool)), _u9910), _u9911) = c_Orderings_Obot__class_Obot(tc_fun(_u9909, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9909), c_Big__Operators_Olinorder__class_OMin(_u9909, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9909, tc_HOL_Obool)), _u9910), _u9911))), c_Big__Operators_Olinorder__class_OMin(_u9909, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9909, tc_HOL_Obool)), _u9910), _u9911))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9909), c_Big__Operators_Olinorder__class_OMin(_u9909, _u9910)), c_Big__Operators_Olinorder__class_OMin(_u9909, _u9911))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9912) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9912), _u9913)) | ( _u9913 = c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9912), _u9914)) | ( _u9914 = c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9912, tc_HOL_Obool)), _u9913), _u9914) != c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9912, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9912, tc_HOL_Obool)), _u9913), _u9914)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9912), c_Big__Operators_Olinorder__class_OMin(_u9912, _u9913)), c_Big__Operators_Olinorder__class_OMin(_u9912, _u9914))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9915), _u9916)) | ( _u9916 = c_Orderings_Obot__class_Obot(tc_fun(_u9915, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9915), c_Big__Operators_Olinorder__class_OMax(_u9915, _u9916)) = c_Big__Operators_Olinorder__class_OMin(_u9915, hAPP(c_Set_Oimage(_u9915, _u9915, c_Groups_Ouminus__class_Ouminus(_u9915)), _u9916))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9917), _u9918)) | ( _u9918 = c_Orderings_Obot__class_Obot(tc_fun(_u9917, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9917), c_Big__Operators_Olinorder__class_OMin(_u9917, _u9918)) = c_Big__Operators_Olinorder__class_OMax(_u9917, hAPP(c_Set_Oimage(_u9917, _u9917, c_Groups_Ouminus__class_Ouminus(_u9917)), _u9918))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9921), _u9922)) | ( _u9922 = c_Orderings_Obot__class_Obot(tc_fun(_u9921, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9921), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9921), skolem146(_u9922, _u9921)), skolem147(_u9922, _u9921))), hAPP(hAPP(c_Set_Oinsert(_u9921), skolem146(_u9922, _u9921)), hAPP(hAPP(c_Set_Oinsert(_u9921), skolem147(_u9922, _u9921)), c_Orderings_Obot__class_Obot(tc_fun(_u9921, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9921), c_Big__Operators_Olinorder__class_OMin(_u9921, _u9922)), _u9922)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9923), _u9924)) | ~hBOOL(hAPP(hAPP(c_member(_u9923), _u9925), _u9924)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9923, tc_HOL_Obool)), _u9924), hAPP(hAPP(c_Set_Oinsert(_u9923), _u9925), c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9923, c_Orderings_Oord__class_Omax(_u9923), _u9924) = _u9925) )).
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9923), _u9924)) | ~hBOOL(hAPP(hAPP(c_member(_u9923), _u9925), _u9924)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9923, tc_HOL_Obool)), _u9924), hAPP(hAPP(c_Set_Oinsert(_u9923), _u9925), c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9923, c_Orderings_Oord__class_Omax(_u9923), _u9924) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9923), _u9925), c_Big__Operators_Olattice_OSup__fin(_u9923, c_Orderings_Oord__class_Omax(_u9923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9923, tc_HOL_Obool)), _u9924), hAPP(hAPP(c_Set_Oinsert(_u9923), _u9925), c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9926), _u9927)) | ~hBOOL(hAPP(hAPP(c_member(_u9926), _u9928), _u9927)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9926, tc_HOL_Obool)), _u9927), hAPP(hAPP(c_Set_Oinsert(_u9926), _u9928), c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9926, c_Orderings_Oord__class_Omin(_u9926), _u9927) = _u9928) )).
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9926), _u9927)) | ~hBOOL(hAPP(hAPP(c_member(_u9926), _u9928), _u9927)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9926, tc_HOL_Obool)), _u9927), hAPP(hAPP(c_Set_Oinsert(_u9926), _u9928), c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9926, c_Orderings_Oord__class_Omin(_u9926), _u9927) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9926), _u9928), c_Big__Operators_Olattice_OInf__fin(_u9926, c_Orderings_Oord__class_Omin(_u9926), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9926, tc_HOL_Obool)), _u9927), hAPP(hAPP(c_Set_Oinsert(_u9926), _u9928), c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u9931, _u9932, _u9933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9931), _u9934)) | ( _u9934 = c_Orderings_Obot__class_Obot(tc_fun(_u9931, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9931), hAPP(hAPP(_u9932, skolem148(_u9934, _u9933, _u9932, _u9931)), skolem149(_u9934, _u9933, _u9932, _u9931))), hAPP(hAPP(c_Set_Oinsert(_u9931), skolem148(_u9934, _u9933, _u9932, _u9931)), hAPP(hAPP(c_Set_Oinsert(_u9931), skolem149(_u9934, _u9933, _u9932, _u9931)), c_Orderings_Obot__class_Obot(tc_fun(_u9931, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9931), hAPP(_u9933, _u9934)), _u9934)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u9935) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9935), _u9936)) | ( _u9936 = c_Orderings_Obot__class_Obot(tc_fun(_u9935, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9935), c_Big__Operators_Olattice_OInf__fin(_u9935, c_Orderings_Oord__class_Omin(_u9935), _u9936)), c_Big__Operators_Olattice_OSup__fin(_u9935, c_Orderings_Oord__class_Omax(_u9935), _u9936))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9937) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9937), _u9938)) | ~hBOOL(hAPP(hAPP(c_member(_u9937), _u9939), _u9938)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9937), _u9939), c_Big__Operators_Olattice_OInf__fin(_u9937, c_Orderings_Oord__class_Omin(_u9937), _u9938)) = c_Big__Operators_Olattice_OInf__fin(_u9937, c_Orderings_Oord__class_Omin(_u9937), _u9938)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9940), _u9941)) | ~hBOOL(hAPP(hAPP(c_member(_u9940), _u9942), _u9941)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9940), _u9942), c_Big__Operators_Olattice_OSup__fin(_u9940, c_Orderings_Oord__class_Omax(_u9940), _u9941)) = c_Big__Operators_Olattice_OSup__fin(_u9940, c_Orderings_Oord__class_Omax(_u9940), _u9941)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9943) | ( c_Big__Operators_Olattice_OInf__fin(_u9943, c_Orderings_Oord__class_Omin(_u9943), hAPP(hAPP(c_Set_Oinsert(_u9943), _u9944), c_Orderings_Obot__class_Obot(tc_fun(_u9943, tc_HOL_Obool)))) = _u9944) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9945) | ( c_Big__Operators_Olattice_OSup__fin(_u9945, c_Orderings_Oord__class_Omax(_u9945), hAPP(hAPP(c_Set_Oinsert(_u9945), _u9946), c_Orderings_Obot__class_Obot(tc_fun(_u9945, tc_HOL_Obool)))) = _u9946) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9947) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9947), _u9948)) | ( _u9948 = c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9947, c_Orderings_Oord__class_Omin(_u9947), hAPP(hAPP(c_Set_Oinsert(_u9947), _u9949), _u9948)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9947), _u9949), c_Big__Operators_Olattice_OInf__fin(_u9947, c_Orderings_Oord__class_Omin(_u9947), _u9948))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9950) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9950), _u9951)) | ( _u9951 = c_Orderings_Obot__class_Obot(tc_fun(_u9950, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9950, c_Orderings_Oord__class_Omax(_u9950), hAPP(hAPP(c_Set_Oinsert(_u9950), _u9952), _u9951)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9950), _u9952), c_Big__Operators_Olattice_OSup__fin(_u9950, c_Orderings_Oord__class_Omax(_u9950), _u9951))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9953), _u9954)) | ( _u9955 = c_Orderings_Obot__class_Obot(tc_fun(_u9953, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9953, tc_HOL_Obool)), _u9955), _u9954)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9953), c_Big__Operators_Olattice_OInf__fin(_u9953, c_Orderings_Oord__class_Omin(_u9953), _u9955)), c_Big__Operators_Olattice_OInf__fin(_u9953, c_Orderings_Oord__class_Omin(_u9953), _u9954)) = c_Big__Operators_Olattice_OInf__fin(_u9953, c_Orderings_Oord__class_Omin(_u9953), _u9954)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9956) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9956), _u9957)) | ( _u9958 = c_Orderings_Obot__class_Obot(tc_fun(_u9956, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9956, tc_HOL_Obool)), _u9958), _u9957)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9956), c_Big__Operators_Olattice_OSup__fin(_u9956, c_Orderings_Oord__class_Omax(_u9956), _u9958)), c_Big__Operators_Olattice_OSup__fin(_u9956, c_Orderings_Oord__class_Omax(_u9956), _u9957)) = c_Big__Operators_Olattice_OSup__fin(_u9956, c_Orderings_Oord__class_Omax(_u9956), _u9957)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9959), _u9960)) | ~hBOOL(hAPP(hAPP(c_member(_u9959), _u9961), _u9960)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9959), _u9961), c_Big__Operators_Olattice_OInf__fin(_u9959, c_Orderings_Oord__class_Omin(_u9959), _u9960)) = _u9961) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9962), _u9963)) | ~hBOOL(hAPP(hAPP(c_member(_u9962), _u9964), _u9963)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9962), _u9964), c_Big__Operators_Olattice_OSup__fin(_u9962, c_Orderings_Oord__class_Omax(_u9962), _u9963)) = _u9964) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( _u9966 = c_Orderings_Obot__class_Obot(tc_fun(_u9965, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9967)) | ( _u9967 = c_Orderings_Obot__class_Obot(tc_fun(_u9965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9965, c_Orderings_Oord__class_Omin(_u9965), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9965, tc_HOL_Obool)), _u9966), _u9967)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9965), c_Big__Operators_Olattice_OInf__fin(_u9965, c_Orderings_Oord__class_Omin(_u9965), _u9966)), c_Big__Operators_Olattice_OInf__fin(_u9965, c_Orderings_Oord__class_Omin(_u9965), _u9967))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9969)) | ( _u9969 = c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9970)) | ( _u9970 = c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9968, tc_HOL_Obool)), _u9969), _u9970)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9968), c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), _u9969)), c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), _u9970))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9971), _u9972)) | hBOOL(hAPP(hAPP(c_member(_u9971), _u9973), _u9972)) | ( _u9972 = c_Orderings_Obot__class_Obot(tc_fun(_u9971, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9971, c_Orderings_Oord__class_Omin(_u9971), hAPP(hAPP(c_Set_Oinsert(_u9971), _u9973), _u9972)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9971), _u9973), c_Big__Operators_Olattice_OInf__fin(_u9971, c_Orderings_Oord__class_Omin(_u9971), _u9972))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9974), _u9975)) | hBOOL(hAPP(hAPP(c_member(_u9974), _u9976), _u9975)) | ( _u9975 = c_Orderings_Obot__class_Obot(tc_fun(_u9974, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9974, c_Orderings_Oord__class_Omax(_u9974), hAPP(hAPP(c_Set_Oinsert(_u9974), _u9976), _u9975)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9974), _u9976), c_Big__Operators_Olattice_OSup__fin(_u9974, c_Orderings_Oord__class_Omax(_u9974), _u9975))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9977), _u9978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9977, tc_HOL_Obool)), _u9978), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9977, c_Orderings_Oord__class_Omin(_u9977), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), _u9978)) = _u9979) )).
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9977), _u9978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9977, tc_HOL_Obool)), _u9978), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9977, c_Orderings_Oord__class_Omin(_u9977), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), _u9978)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9977), _u9979), c_Big__Operators_Olattice_OInf__fin(_u9977, c_Orderings_Oord__class_Omin(_u9977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9977, tc_HOL_Obool)), _u9978), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9980), _u9981)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9980, tc_HOL_Obool)), _u9981), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9980, c_Orderings_Oord__class_Omax(_u9980), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), _u9981)) = _u9982) )).
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9980), _u9981)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9980, tc_HOL_Obool)), _u9981), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9980, c_Orderings_Oord__class_Omax(_u9980), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), _u9981)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9980), _u9982), c_Big__Operators_Olattice_OSup__fin(_u9980, c_Orderings_Oord__class_Omax(_u9980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9980, tc_HOL_Obool)), _u9981), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9983), _u9984)) | ( _u9984 = c_Orderings_Obot__class_Obot(tc_fun(_u9983, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9983), _u9985)) | ( _u9985 = c_Orderings_Obot__class_Obot(tc_fun(_u9983, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9983, tc_HOL_Obool)), _u9984), _u9985) != c_Orderings_Obot__class_Obot(tc_fun(_u9983, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9983, c_Orderings_Oord__class_Omin(_u9983), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9983, tc_HOL_Obool)), _u9984), _u9985)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9983), c_Big__Operators_Olattice_OInf__fin(_u9983, c_Orderings_Oord__class_Omin(_u9983), _u9984)), c_Big__Operators_Olattice_OInf__fin(_u9983, c_Orderings_Oord__class_Omin(_u9983), _u9985))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9986), _u9987)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9986), _u9988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9986, tc_HOL_Obool)), _u9987), _u9988) = c_Orderings_Obot__class_Obot(tc_fun(_u9986, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9986), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9986, tc_HOL_Obool)), _u9987), _u9988))), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9986, tc_HOL_Obool)), _u9987), _u9988))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9986), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), _u9987)), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), _u9988))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9989), _u9990)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9989), _u9991)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9989, tc_HOL_Obool)), _u9990), _u9991) = c_Orderings_Obot__class_Obot(tc_fun(_u9989, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9989), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9989, tc_HOL_Obool)), _u9990), _u9991))), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9989, tc_HOL_Obool)), _u9990), _u9991))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9989), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), _u9990)), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), _u9991))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9992), _u9993)) | ( _u9993 = c_Orderings_Obot__class_Obot(tc_fun(_u9992, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9992), _u9994)) | ( _u9994 = c_Orderings_Obot__class_Obot(tc_fun(_u9992, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9992, tc_HOL_Obool)), _u9993), _u9994) != c_Orderings_Obot__class_Obot(tc_fun(_u9992, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9992, c_Orderings_Oord__class_Omax(_u9992), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9992, tc_HOL_Obool)), _u9993), _u9994)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9992), c_Big__Operators_Olattice_OSup__fin(_u9992, c_Orderings_Oord__class_Omax(_u9992), _u9993)), c_Big__Operators_Olattice_OSup__fin(_u9992, c_Orderings_Oord__class_Omax(_u9992), _u9994))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9997), _u9998)) | ( _u9998 = c_Orderings_Obot__class_Obot(tc_fun(_u9997, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9997), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9997), skolem150(_u9998, _u9997)), skolem151(_u9998, _u9997))), hAPP(hAPP(c_Set_Oinsert(_u9997), skolem150(_u9998, _u9997)), hAPP(hAPP(c_Set_Oinsert(_u9997), skolem151(_u9998, _u9997)), c_Orderings_Obot__class_Obot(tc_fun(_u9997, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9997), c_Big__Operators_Olattice_OSup__fin(_u9997, c_Orderings_Oord__class_Omax(_u9997), _u9998)), _u9998)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u10001) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10001), _u10002)) | ( _u10002 = c_Orderings_Obot__class_Obot(tc_fun(_u10001, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10001), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10001), skolem152(_u10002, _u10001)), skolem153(_u10002, _u10001))), hAPP(hAPP(c_Set_Oinsert(_u10001), skolem152(_u10002, _u10001)), hAPP(hAPP(c_Set_Oinsert(_u10001), skolem153(_u10002, _u10001)), c_Orderings_Obot__class_Obot(tc_fun(_u10001, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10001), c_Big__Operators_Olattice_OInf__fin(_u10001, c_Orderings_Oord__class_Omin(_u10001), _u10002)), _u10002)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10003), _u10004)) | ~hBOOL(hAPP(hAPP(c_member(_u10003), _u10005), _u10004)) | ( hAPP(c_Finite__Set_Ocard(_u10003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10003, tc_HOL_Obool)), _u10004), hAPP(hAPP(c_Set_Oinsert(_u10003), _u10005), c_Orderings_Obot__class_Obot(tc_fun(_u10003, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10003), _u10004)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.05/13.26 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10003), _u10004)) | hBOOL(hAPP(hAPP(c_member(_u10003), _u10005), _u10004)) | ( hAPP(c_Finite__Set_Ocard(_u10003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10003, tc_HOL_Obool)), _u10004), hAPP(hAPP(c_Set_Oinsert(_u10003), _u10005), c_Orderings_Obot__class_Obot(tc_fun(_u10003, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u10003), _u10004)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10006), _u10007)) | ~hBOOL(hAPP(hAPP(c_member(_u10006), _u10008), _u10007)) | ( hAPP(c_Finite__Set_Ocard(_u10006), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10006, tc_HOL_Obool)), _u10007), hAPP(hAPP(c_Set_Oinsert(_u10006), _u10008), c_Orderings_Obot__class_Obot(tc_fun(_u10006, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10006), _u10007)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10009) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u10009) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10009))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10010) = 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)), _u10010))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10011), c_Orderings_Obot__class_Obot(tc_fun(_u10011, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10012), _u10013)) | ( hAPP(c_Finite__Set_Ocard(_u10012), _u10013) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10016), _u10018) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10018 = c_Orderings_Obot__class_Obot(tc_fun(_u10016, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10016), _u10018)) )).
% 13.05/13.26 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10017), _u10019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10019 != c_Orderings_Obot__class_Obot(tc_fun(_u10017, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10017), _u10019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10017), _u10019)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 13.05/13.26 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(_u10020), _u10021))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10020), _u10021)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10022), _u10023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10022), _u10023)), hAPP(c_Finite__Set_Ocard(_u10022), hAPP(hAPP(c_Set_Oinsert(_u10022), _u10024), _u10023)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10025), _u10026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10025, tc_HOL_Obool)), _u10027), _u10026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10025), _u10026)), hAPP(c_Finite__Set_Ocard(_u10025), _u10027))) | ( _u10027 = _u10026) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10028), _u10029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10028, tc_HOL_Obool)), _u10030), _u10029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10028), _u10030)), hAPP(c_Finite__Set_Ocard(_u10028), _u10029))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10031), _u10032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10033), hAPP(c_Set_Oimage(_u10031, _u10033, _u10034), _u10032))), hAPP(c_Finite__Set_Ocard(_u10031), _u10032))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10035), _u10036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10035, tc_HOL_Obool)), _u10037), _u10036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10035), _u10037)), hAPP(c_Finite__Set_Ocard(_u10035), _u10036))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10038), _u10039)) | hBOOL(hAPP(hAPP(c_member(_u10038), _u10040), _u10039)) | ( hAPP(c_Finite__Set_Ocard(_u10038), hAPP(hAPP(c_Set_Oinsert(_u10038), _u10040), _u10039)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10038), _u10039))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10041), _u10042)) | ~hBOOL(hAPP(hAPP(c_member(_u10041), _u10043), _u10042)) | ( hAPP(c_Finite__Set_Ocard(_u10041), hAPP(hAPP(c_Set_Oinsert(_u10041), _u10043), _u10042)) = hAPP(c_Finite__Set_Ocard(_u10041), _u10042)) )).
% 13.05/13.26 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10041), _u10042)) | hBOOL(hAPP(hAPP(c_member(_u10041), _u10043), _u10042)) | ( hAPP(c_Finite__Set_Ocard(_u10041), hAPP(hAPP(c_Set_Oinsert(_u10041), _u10043), _u10042)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10041), _u10042))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 13.05/13.26 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(_u10046), _u10048))) | ( _u10048 != c_Orderings_Obot__class_Obot(tc_fun(_u10046, tc_HOL_Obool))) )).
% 13.05/13.26 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(_u10046), _u10048))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10046), _u10048)) )).
% 13.05/13.26 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u10049 = c_Orderings_Obot__class_Obot(tc_fun(_u10047, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), _u10049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10047), _u10049))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10052)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10050), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10050, tc_HOL_Obool)), _u10051), _u10052))), hAPP(c_Finite__Set_Ocard(_u10050), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10050, tc_HOL_Obool)), _u10051), _u10052))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10050), _u10051)), hAPP(c_Finite__Set_Ocard(_u10050), _u10052))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10053), _u10054)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10053), _u10055)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10053), _u10054)), hAPP(c_Finite__Set_Ocard(_u10053), _u10055)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10053), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10053, tc_HOL_Obool)), _u10054), _u10055))), hAPP(c_Finite__Set_Ocard(_u10053), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10053, tc_HOL_Obool)), _u10054), _u10055)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10056), _u10057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10056, tc_HOL_Obool)), _u10057), _u10058)) | ( hAPP(c_Finite__Set_Ocard(_u10056), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10056, tc_HOL_Obool)), _u10058), _u10057)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10056), _u10058)), hAPP(c_Finite__Set_Ocard(_u10056), _u10057))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10059, tc_HOL_Obool)), _u10060), _u10061))) | ( hAPP(c_Finite__Set_Ocard(_u10059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10059, tc_HOL_Obool)), _u10060), _u10061)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10059), _u10060)), hAPP(c_Finite__Set_Ocard(_u10059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10059, tc_HOL_Obool)), _u10060), _u10061)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10062), _u10063)) | 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(_u10062), _u10064)), hAPP(c_Finite__Set_Ocard(_u10062), _u10063))), hAPP(c_Finite__Set_Ocard(_u10062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10062, tc_HOL_Obool)), _u10064), _u10063)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10065), _u10066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10065, tc_HOL_Obool)), _u10067), _u10066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10065), _u10067)), hAPP(c_Finite__Set_Ocard(_u10065), _u10066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10065, tc_HOL_Obool)), _u10067), _u10066)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10068), _u10069)) | ( hAPP(c_Finite__Set_Ocard(_u10068), hAPP(hAPP(c_Set_Oinsert(_u10068), _u10070), _u10069)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10068), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10068, tc_HOL_Obool)), _u10069), hAPP(hAPP(c_Set_Oinsert(_u10068), _u10070), c_Orderings_Obot__class_Obot(tc_fun(_u10068, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10071), _u10072)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10071), _u10073)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10071, tc_HOL_Obool)), _u10072), _u10073) != c_Orderings_Obot__class_Obot(tc_fun(_u10071, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u10071), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10071, tc_HOL_Obool)), _u10072), _u10073)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10071), _u10072)), hAPP(c_Finite__Set_Ocard(_u10071), _u10073))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10074), _u10075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10074, tc_HOL_Obool)), _u10075), hAPP(hAPP(c_Set_Oinsert(_u10074), _u10076), c_Orderings_Obot__class_Obot(tc_fun(_u10074, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10074), _u10075))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10077), _u10078)) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10079), _u10078)) | ( hAPP(c_Finite__Set_Ocard(_u10077), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10079), _u10078)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10077), _u10078))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10080), _u10081)) | ~hBOOL(hAPP(hAPP(c_member(_u10080), _u10082), _u10081)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10080), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10080, tc_HOL_Obool)), _u10081), hAPP(hAPP(c_Set_Oinsert(_u10080), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10080, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u10080), _u10081)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10083), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10083), _u10085), _u10084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10083, tc_HOL_Obool)), _u10084), hAPP(hAPP(c_Set_Oinsert(_u10083), _u10085), c_Orderings_Obot__class_Obot(tc_fun(_u10083, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10083), _u10084))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10086), _u10087)) | ~hBOOL(hAPP(hAPP(c_member(_u10086), _u10088), _u10087)) | ~hBOOL(hAPP(hAPP(c_member(_u10086), _u10089), _u10087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10086), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10086, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10086, tc_HOL_Obool)), _u10087), hAPP(hAPP(c_Set_Oinsert(_u10086), _u10088), c_Orderings_Obot__class_Obot(tc_fun(_u10086, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u10086), _u10089), c_Orderings_Obot__class_Obot(tc_fun(_u10086, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10086), _u10087))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10090), _u10091)) | ~hBOOL(hAPP(hAPP(c_member(_u10090), _u10092), _u10091)) | hBOOL(hAPP(hAPP(c_member(_u10090), _u10092), _u10093)) | ( hAPP(c_Finite__Set_Ocard(_u10090), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10090, tc_HOL_Obool)), _u10091), hAPP(hAPP(c_Set_Oinsert(_u10090), _u10092), _u10093))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10090), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10090, tc_HOL_Obool)), _u10091), _u10093))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10094), _u10095)) | ( hAPP(c_Finite__Set_Ocard(_u10094), hAPP(hAPP(c_Set_Oinsert(_u10094), _u10096), _u10095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10094, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Set_Oinsert(_u10094), _u10096), c_Orderings_Obot__class_Obot(tc_fun(_u10094, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10097), _u10098)) | ~hBOOL(hAPP(hAPP(c_member(_u10097), _u10099), _u10098)) | ( hAPP(c_Finite__Set_Ocard(_u10097), _u10098) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10097), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10097, tc_HOL_Obool)), _u10098), hAPP(hAPP(c_Set_Oinsert(_u10097), _u10099), c_Orderings_Obot__class_Obot(tc_fun(_u10097, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10102)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10103)) | ( hAPP(c_Finite__Set_Ocard(_u10101), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10101, tc_HOL_Obool)), _u10102), _u10103)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10101), _u10102)), hAPP(c_Finite__Set_Ocard(_u10101), _u10103))) | hBOOL(hAPP(hAPP(c_member(_u10101), skolem154(_u10103, _u10102, _u10101)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10101, tc_HOL_Obool)), _u10102), _u10103))) )).
% 13.05/13.26 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10102)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10103)) | ( hAPP(c_Finite__Set_Ocard(_u10101), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10101, tc_HOL_Obool)), _u10102), _u10103)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10101), _u10102)), hAPP(c_Finite__Set_Ocard(_u10101), _u10103))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ( _u10113 = hAPP(hAPP(c_Set_Oinsert(_u10111), skolem155(_u10115, _u10113, _u10111)), skolem156(_u10115, _u10113, _u10111))) )).
% 13.05/13.26 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ~hBOOL(hAPP(hAPP(c_member(_u10111), skolem155(_u10115, _u10113, _u10111)), skolem156(_u10115, _u10113, _u10111))) )).
% 13.05/13.26 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ( hAPP(c_Finite__Set_Ocard(_u10111), skolem156(_u10115, _u10113, _u10111)) = _u10115) )).
% 13.05/13.26 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ( _u10115 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem156(_u10115, _u10113, _u10111) = c_Orderings_Obot__class_Obot(tc_fun(_u10111, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10112), _u10114) = hAPP(c_Nat_OSuc, _u10116)) | ( _u10114 != hAPP(hAPP(c_Set_Oinsert(_u10112), _u10107), _u10106)) | hBOOL(hAPP(hAPP(c_member(_u10112), _u10107), _u10106)) | ( hAPP(c_Finite__Set_Ocard(_u10112), _u10106) != _u10116) | ( _u10116 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.26 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u10112), _u10114) = hAPP(c_Nat_OSuc, _u10116)) | ( _u10114 != hAPP(hAPP(c_Set_Oinsert(_u10112), _u10107), _u10106)) | hBOOL(hAPP(hAPP(c_member(_u10112), _u10107), _u10106)) | ( hAPP(c_Finite__Set_Ocard(_u10112), _u10106) != _u10116) | ( _u10106 != c_Orderings_Obot__class_Obot(tc_fun(_u10112, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_equiv__imp__dvd__card ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_equiv__imp__dvd__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10118), _u10119)) | ~c_Equiv__Relations_Oequiv(_u10118, _u10119, _u10120) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10121), hAPP(c_Finite__Set_Ocard(_u10118), _u10119))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10118, tc_HOL_Obool)), skolem157(_u10121, _u10120, _u10119, _u10118)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10118), _u10119), _u10120))) )).
% 13.05/13.26 cnf(fact_equiv__imp__dvd__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10118), _u10119)) | ~c_Equiv__Relations_Oequiv(_u10118, _u10119, _u10120) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10121), hAPP(c_Finite__Set_Ocard(_u10118), _u10119))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10121), hAPP(c_Finite__Set_Ocard(_u10118), skolem157(_u10121, _u10120, _u10119, _u10118)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10126), _u10128)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10130), _u10132)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10126, _u10130)), c_Sum__Type_OPlus(_u10126, _u10130, _u10128, _u10132)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10126), _u10128)), hAPP(c_Finite__Set_Ocard(_u10130), _u10132))) )).
% 13.05/13.26 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10127, _u10131)), c_Sum__Type_OPlus(_u10127, _u10131, _u10129, _u10133)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10127), _u10129)) )).
% 13.05/13.26 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10127, _u10131)), c_Sum__Type_OPlus(_u10127, _u10131, _u10129, _u10133)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10131), _u10133)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10138, _u10140)), c_Sum__Type_OPlus(_u10138, _u10140, _u10142, _u10144))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10138), _u10142)) )).
% 13.05/13.26 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10138, _u10140)), c_Sum__Type_OPlus(_u10138, _u10140, _u10142, _u10144))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10140), _u10144)) )).
% 13.05/13.26 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10139), _u10143)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10141), _u10145)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10139, _u10141)), c_Sum__Type_OPlus(_u10139, _u10141, _u10143, _u10145))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10146), _u10147)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10148), _u10149)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10146, _u10148)), c_Sum__Type_OPlus(_u10146, _u10148, _u10147, _u10149))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10150, _u10151)), c_Sum__Type_OPlus(_u10150, _u10151, _u10152, _u10153))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10150), _u10152)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10155), _u10157)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10154, _u10155)), c_Sum__Type_OPlus(_u10154, _u10155, _u10156, _u10157))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10158), _u10159)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10160), _u10161)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10158, _u10160)), c_Sum__Type_OPlus(_u10158, _u10160, _u10159, _u10161)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10158), _u10159)), hAPP(c_Finite__Set_Ocard(_u10160), _u10161))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u10166, _u10168, _u10170, _u10172) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10166, _u10168), tc_HOL_Obool))) | ( _u10170 = c_Orderings_Obot__class_Obot(tc_fun(_u10166, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u10166, _u10168, _u10170, _u10172) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10166, _u10168), tc_HOL_Obool))) | ( _u10172 = c_Orderings_Obot__class_Obot(tc_fun(_u10168, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u10171 != c_Orderings_Obot__class_Obot(tc_fun(_u10167, tc_HOL_Obool))) | ( _u10173 != c_Orderings_Obot__class_Obot(tc_fun(_u10169, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u10167, _u10169, _u10171, _u10173) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10167, _u10169), tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10174, _u10175)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10175), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10174), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10177), _u10178)) | ~hBOOL(hAPP(hAPP(c_member(_u10177), _u10179), _u10178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10177, _u10176), hAPP(hAPP(c_COMBC(_u10177, _u10176, _u10176), hAPP(hAPP(c_COMBS(_u10177, _u10176, tc_fun(_u10176, _u10176)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10176, tc_fun(_u10176, _u10176)), _u10177), c_If(_u10176)), hAPP(hAPP(c_COMBC(_u10177, _u10177, tc_HOL_Obool), c_fequal), _u10179))), _u10180)), _u10181)), _u10178) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10176), hAPP(_u10180, _u10179)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10176), _u10181), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10177), _u10178)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 13.05/13.26 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10177), _u10178)) | hBOOL(hAPP(hAPP(c_member(_u10177), _u10179), _u10178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10177, _u10176), hAPP(hAPP(c_COMBC(_u10177, _u10176, _u10176), hAPP(hAPP(c_COMBS(_u10177, _u10176, tc_fun(_u10176, _u10176)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10176, tc_fun(_u10176, _u10176)), _u10177), c_If(_u10176)), hAPP(hAPP(c_COMBC(_u10177, _u10177, tc_HOL_Obool), c_fequal), _u10179))), _u10180)), _u10181)), _u10178) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10176), _u10181), hAPP(c_Finite__Set_Ocard(_u10177), _u10178))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10182, _u10183))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10184) | ~class_Groups_Ocomm__monoid__mult(_u10184) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10184), _u10185), _u10186) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10184), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10184, tc_Int_Oint), _u10185), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10186))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10187) | ~class_Rings_Oring__1(_u10187) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10187), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10188, tc_Int_Oint), _u10189), _u10190)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10188, _u10187), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10187, _u10188), c_Int_Oring__1__class_Oof__int(_u10187)), _u10189)), _u10190)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10191, tc_Nat_Onat), _u10192), _u10193) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10191, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10191), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10192)), _u10193))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10194) | ~class_Rings_Osemiring__1(_u10194) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10194), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10195, tc_Nat_Onat), _u10196), _u10197)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10195, _u10194), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10194, _u10195), c_Nat_Osemiring__1__class_Oof__nat(_u10194)), _u10196)), _u10197)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 13.05/13.26 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(_u10198, tc_Nat_Onat), _u10199), _u10200)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10198, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10198), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10199)), _u10200)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10201) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10202, _u10201), hAPP(hAPP(c_COMBS(_u10202, _u10201, _u10201), hAPP(hAPP(c_COMBB(_u10201, tc_fun(_u10201, _u10201), _u10202), c_Groups_Otimes__class_Otimes(_u10201)), _u10203)), _u10204)), _u10205) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10201), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10202, _u10201), _u10203), _u10205)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10202, _u10201), _u10204), _u10205))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10207, _u10206), hAPP(c_COMBK(_u10206, _u10207), c_Groups_Oone__class_Oone(_u10206))), _u10208) = c_Groups_Oone__class_Oone(_u10206)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u10209) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10209), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10210, _u10209), _u10211), _u10212)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10210, _u10209), hAPP(hAPP(c_COMBB(_u10209, _u10209, _u10210), c_Groups_Oabs__class_Oabs(_u10209)), _u10211)), _u10212)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10215), _u10216)) | ~hBOOL(hAPP(hAPP(c_member(_u10215), _u10213), _u10216)) | ( hAPP(_u10217, _u10213) != c_Groups_Ozero__class_Ozero(_u10214)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10215, _u10214), _u10217), _u10216) = c_Groups_Ozero__class_Ozero(_u10214)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10220) | ~class_Rings_Ono__zero__divisors(_u10220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10221), _u10222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10221, _u10220), _u10223), _u10222) != c_Groups_Ozero__class_Ozero(_u10220)) | hBOOL(hAPP(hAPP(c_member(_u10221), skolem158(_u10223, _u10222, _u10221, _u10220)), _u10222)) )).
% 13.05/13.26 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10220) | ~class_Rings_Ono__zero__divisors(_u10220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10221), _u10222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10221, _u10220), _u10223), _u10222) != c_Groups_Ozero__class_Ozero(_u10220)) | ( hAPP(_u10223, skolem158(_u10223, _u10222, _u10221, _u10220)) = c_Groups_Ozero__class_Ozero(_u10220)) )).
% 13.05/13.26 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10220) | ~class_Rings_Ono__zero__divisors(_u10220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10221), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(_u10221), _u10219), _u10222)) | ( hAPP(_u10223, _u10219) != c_Groups_Ozero__class_Ozero(_u10220)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10221, _u10220), _u10223), _u10222) = c_Groups_Ozero__class_Ozero(_u10220)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10224) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10225, _u10224), _u10226), c_Orderings_Obot__class_Obot(tc_fun(_u10225, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10224)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10227) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10228, _u10227), _u10229), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10227)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10230) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10231), _u10232)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10231, _u10230), _u10233), _u10232) = c_Groups_Oone__class_Oone(_u10230)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10234) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10235), _u10236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10235, _u10234), _u10237), _u10236) = c_Groups_Oone__class_Oone(_u10234)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10240, tc_Nat_Onat), _u10242), _u10241) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u10240), _u10238), _u10241)) | ( hAPP(_u10242, _u10238) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.26 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10240, tc_Nat_Onat), _u10242), _u10241) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10240), skolem159(_u10242, _u10241, _u10240)), _u10241)) )).
% 13.05/13.26 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10240, tc_Nat_Onat), _u10242), _u10241) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u10242, skolem159(_u10242, _u10241, _u10240)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10243) | ~class_Groups_Ocomm__monoid__mult(_u10243) | ~c_Nat__Transfer_Onat__set(_u10244) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10243), _u10245), _u10244) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10243), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10243, tc_Nat_Onat), _u10245), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10244))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10247), _u10248)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10247, _u10246), hAPP(hAPP(c_COMBS(_u10247, _u10246, _u10246), hAPP(hAPP(c_COMBB(_u10246, tc_fun(_u10246, _u10246), _u10247), c_Groups_Otimes__class_Otimes(_u10246)), _u10249)), _u10250)), _u10248) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10246), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10247, _u10246), _u10249), _u10248)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10247, _u10246), _u10250), _u10248))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10251) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10252), _u10253)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10252, _u10251), hAPP(hAPP(c_COMBS(_u10252, _u10251, _u10251), hAPP(hAPP(c_COMBB(_u10251, tc_fun(_u10251, _u10251), _u10252), c_Rings_Oinverse__class_Odivide(_u10251)), _u10254)), _u10255)), _u10253) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10251), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10252, _u10251), _u10254), _u10253)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10252, _u10251), _u10255), _u10253))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_dvd__setprod ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_dvd__setprod-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10256) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10257), _u10258)) | ~hBOOL(hAPP(hAPP(c_member(_u10257), _u10259), _u10258)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10256), hAPP(_u10260, _u10259)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10257, _u10256), _u10260), _u10258))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10263), _u10264)) | ~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(_u10263, tc_Nat_Onat), _u10265), _u10264))) | ~hBOOL(hAPP(hAPP(c_member(_u10263), _u10261), _u10264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10265, _u10261))) )).
% 13.05/13.26 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10263), _u10264)) | 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(_u10263, tc_Nat_Onat), _u10265), _u10264))) | hBOOL(hAPP(hAPP(c_member(_u10263), skolem160(_u10265, _u10264, _u10263)), _u10264)) )).
% 13.05/13.26 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10263), _u10264)) | 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(_u10263, tc_Nat_Onat), _u10265), _u10264))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10265, skolem160(_u10265, _u10264, _u10263)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__dvd__setprod__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__dvd__setprod__subset-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10266) | ~class_Rings_Odvd(_u10266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10267), _u10268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10267, tc_HOL_Obool)), _u10269), _u10268)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10266), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10267, _u10266), _u10270), _u10269)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10267, _u10266), _u10270), _u10268))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u10271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10271), _u10272), _u10273)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u10271, _u10273, _u10272) = c_Orderings_Obot__class_Obot(tc_fun(_u10271, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10274) | ( hAPP(c_Set_Oimage(_u10274, _u10274, c_Groups_Ouminus__class_Ouminus(_u10274)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10274, _u10275, _u10276)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10274, hAPP(c_Groups_Ouminus__class_Ouminus(_u10274), _u10276), hAPP(c_Groups_Ouminus__class_Ouminus(_u10274), _u10275))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ~hBOOL(hAPP(hAPP(c_member(_u10278), _u10280), _u10279)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10278, _u10277), hAPP(hAPP(c_COMBC(_u10278, _u10277, _u10277), hAPP(hAPP(c_COMBS(_u10278, _u10277, tc_fun(_u10277, _u10277)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10277, tc_fun(_u10277, _u10277)), _u10278), c_If(_u10277)), hAPP(c_fequal, _u10280))), _u10281)), c_Groups_Oone__class_Oone(_u10277))), _u10279) = hAPP(_u10281, _u10280)) )).
% 13.05/13.26 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | hBOOL(hAPP(hAPP(c_member(_u10278), _u10280), _u10279)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10278, _u10277), hAPP(hAPP(c_COMBC(_u10278, _u10277, _u10277), hAPP(hAPP(c_COMBS(_u10278, _u10277, tc_fun(_u10277, _u10277)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10277, tc_fun(_u10277, _u10277)), _u10278), c_If(_u10277)), hAPP(c_fequal, _u10280))), _u10281)), c_Groups_Oone__class_Oone(_u10277))), _u10279) = c_Groups_Oone__class_Oone(_u10277)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), hAPP(hAPP(c_COMBC(_u10283, _u10282, _u10282), hAPP(hAPP(c_COMBS(_u10283, _u10282, tc_fun(_u10282, _u10282)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10282, tc_fun(_u10282, _u10282)), _u10283), c_If(_u10282)), hAPP(hAPP(c_COMBC(_u10283, _u10283, tc_HOL_Obool), c_fequal), _u10285))), _u10286)), c_Groups_Oone__class_Oone(_u10282))), _u10284) = hAPP(_u10286, _u10285)) )).
% 13.05/13.26 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | hBOOL(hAPP(hAPP(c_member(_u10283), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), hAPP(hAPP(c_COMBC(_u10283, _u10282, _u10282), hAPP(hAPP(c_COMBS(_u10283, _u10282, tc_fun(_u10282, _u10282)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10282, tc_fun(_u10282, _u10282)), _u10283), c_If(_u10282)), hAPP(hAPP(c_COMBC(_u10283, _u10283, tc_HOL_Obool), c_fequal), _u10285))), _u10286)), c_Groups_Oone__class_Oone(_u10282))), _u10284) = c_Groups_Oone__class_Oone(_u10282)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10287) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10288, _u10287), hAPP(c_COMBK(_u10287, _u10288), _u10290)), _u10289) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10287), _u10290), hAPP(c_Finite__Set_Ocard(_u10288), _u10289))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10291) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10292), _u10293)) | hBOOL(hAPP(hAPP(c_member(_u10292), _u10294), _u10293)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10292, _u10291), _u10295), hAPP(hAPP(c_Set_Oinsert(_u10292), _u10294), _u10293)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10291), hAPP(_u10295, _u10294)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10292, _u10291), _u10295), _u10293))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10297), _u10298)) | hBOOL(hAPP(hAPP(c_member(_u10297), _u10299), _u10298)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10297, _u10296), _u10300), hAPP(hAPP(c_Set_Oinsert(_u10297), _u10299), _u10298)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10296), hAPP(_u10300, _u10299)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10297, _u10296), _u10300), _u10298))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10302), _u10303)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10302), _u10304)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10302, tc_HOL_Obool)), _u10303), _u10304))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10302, tc_HOL_Obool)), _u10303), _u10304))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), _u10303)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), _u10304))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10307), _u10308)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10307), _u10309)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10306), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10307, tc_HOL_Obool)), _u10308), _u10309))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10307, tc_HOL_Obool)), _u10308), _u10309))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10306), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), _u10308)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), _u10309))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u10311) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10311, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10311, _u10312, _u10313)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10311, _u10314, _u10315)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10311, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10311), _u10312), _u10314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10311), _u10313), _u10315))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10317), _u10318)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10317, _u10316), _u10319), hAPP(hAPP(c_Set_Oinsert(_u10317), _u10320), _u10318)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10316), hAPP(_u10319, _u10320)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10317, _u10316), _u10319), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10317, tc_HOL_Obool)), _u10318), hAPP(hAPP(c_Set_Oinsert(_u10317), _u10320), c_Orderings_Obot__class_Obot(tc_fun(_u10317, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10322), _u10323)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10322), _u10324)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10322, tc_HOL_Obool)), _u10323), _u10324) != c_Orderings_Obot__class_Obot(tc_fun(_u10322, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10322, _u10321), _u10325), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10322, tc_HOL_Obool)), _u10323), _u10324)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10322, _u10321), _u10325), _u10323)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10322, _u10321), _u10325), _u10324))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10327), _u10328)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10327), _u10329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10327, tc_HOL_Obool)), _u10328), _u10329) != c_Orderings_Obot__class_Obot(tc_fun(_u10327, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10327, _u10326), _u10330), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10327, tc_HOL_Obool)), _u10328), _u10329)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10326), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10327, _u10326), _u10330), _u10328)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10327, _u10326), _u10330), _u10329))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10332), _u10333)) | ~hBOOL(hAPP(hAPP(c_member(_u10332), _u10334), _u10333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10332, _u10331), _u10335), _u10333) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10331), hAPP(_u10335, _u10334)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10332, _u10331), _u10335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10332, tc_HOL_Obool)), _u10333), hAPP(hAPP(c_Set_Oinsert(_u10332), _u10334), c_Orderings_Obot__class_Obot(tc_fun(_u10332, tc_HOL_Obool))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u10336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10337), _u10338)) | ( hAPP(_u10339, _u10340) = c_Groups_Ozero__class_Ozero(_u10336)) | ~hBOOL(hAPP(hAPP(c_member(_u10337), _u10340), _u10338)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10337, tc_HOL_Obool)), _u10338), hAPP(hAPP(c_Set_Oinsert(_u10337), _u10340), c_Orderings_Obot__class_Obot(tc_fun(_u10337, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10336), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), _u10338)), hAPP(_u10339, _u10340))) )).
% 13.05/13.26 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u10336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10337), _u10338)) | ( hAPP(_u10339, _u10340) = c_Groups_Ozero__class_Ozero(_u10336)) | hBOOL(hAPP(hAPP(c_member(_u10337), _u10340), _u10338)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10337, tc_HOL_Obool)), _u10338), hAPP(hAPP(c_Set_Oinsert(_u10337), _u10340), c_Orderings_Obot__class_Obot(tc_fun(_u10337, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), _u10338)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u10342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10344)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10342), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10344)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10345))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)))) | hBOOL(hAPP(hAPP(c_member(_u10343), skolem161(_u10346, _u10345, _u10344, _u10343, _u10342)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345))) )).
% 13.05/13.26 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u10342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10344)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10342), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10344)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10345))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)))) | ( hAPP(_u10346, skolem161(_u10346, _u10345, _u10344, _u10343, _u10342)) = c_Groups_Ozero__class_Ozero(_u10342)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10350)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10349, tc_HOL_Obool)), _u10350), _u10351)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10348), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10350)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10351))) | hBOOL(hAPP(hAPP(c_member(_u10349), skolem162(_u10352, _u10351, _u10350, _u10349, _u10348)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10349, tc_HOL_Obool)), _u10350), _u10351))) )).
% 13.05/13.26 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10350)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10349, tc_HOL_Obool)), _u10350), _u10351)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10348), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10350)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10351))) | ( hAPP(_u10352, skolem162(_u10352, _u10351, _u10350, _u10349, _u10348)) != c_Groups_Oone__class_Oone(_u10348)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10356)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10355, tc_HOL_Obool)), _u10356), _u10357)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10356)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10357))) | hBOOL(hAPP(hAPP(c_member(_u10355), skolem163(_u10358, _u10357, _u10356, _u10355, _u10354)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10355, tc_HOL_Obool)), _u10356), _u10357))) )).
% 13.05/13.26 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10356)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10355, tc_HOL_Obool)), _u10356), _u10357)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10356)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10357))) | ( hAPP(_u10358, skolem163(_u10358, _u10357, _u10356, _u10355, _u10354)) != c_Groups_Oone__class_Oone(_u10354)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10359, _u10360))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10361, _u10362)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10362), hAPP(c_Nat_OSuc, _u10361))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Int_Oint), _u10366), _u10365) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10364), c_Int_Onat), _u10366)), _u10365))) | hBOOL(hAPP(hAPP(c_member(_u10364), skolem164(_u10366, _u10365, _u10364)), _u10365)) )).
% 13.05/13.26 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Int_Oint), _u10366), _u10365) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10364), c_Int_Onat), _u10366)), _u10365))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10366, skolem164(_u10366, _u10365, _u10364))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u10367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10367), _u10368), _u10369)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10367, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10367, _u10368, _u10369)), hAPP(hAPP(c_Set_Oinsert(_u10367), _u10369), c_Orderings_Obot__class_Obot(tc_fun(_u10367, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10367, _u10368, _u10369)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10370), _u10371), _u10372) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10370, tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool)), _u10371), hAPP(hAPP(c_COMBC(_u10370, tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10370, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool)), _u10370), c_Set_Oinsert(tc_fun(_u10370, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10370, tc_HOL_Obool), tc_fun(_u10370, tc_HOL_Obool), _u10370), c_Relation_OImage(_u10370, _u10370, _u10372)), hAPP(hAPP(c_COMBC(_u10370, tc_fun(_u10370, tc_HOL_Obool), tc_fun(_u10370, tc_HOL_Obool)), c_Set_Oinsert(_u10370)), c_Orderings_Obot__class_Obot(tc_fun(_u10370, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10373, _u10374))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10375, _u10376))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10377), _u10378), _u10379)) | ~hBOOL(hAPP(hAPP(_u10380, _u10378), _u10381)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10377, tc_fun(_u10382, tc_HOL_Obool)), _u10379), _u10380), _u10381)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10390, tc_fun(_u10392, tc_HOL_Obool)), _u10394), _u10396), _u10398)) | hBOOL(hAPP(hAPP(c_member(_u10390), skolem165(_u10398, _u10396, _u10394, _u10392, _u10390)), _u10394)) )).
% 13.05/13.26 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10390, tc_fun(_u10392, tc_HOL_Obool)), _u10394), _u10396), _u10398)) | hBOOL(hAPP(hAPP(_u10396, skolem165(_u10398, _u10396, _u10394, _u10392, _u10390)), _u10398)) )).
% 13.05/13.26 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10391), _u10384), _u10395)) | ~hBOOL(hAPP(hAPP(_u10397, _u10384), _u10399)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10391, tc_fun(_u10393, tc_HOL_Obool)), _u10395), _u10397), _u10399)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u10400, _u10401, _u10402), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10403, tc_fun(_u10400, tc_HOL_Obool)), _u10404), _u10405)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10403, tc_fun(_u10401, tc_HOL_Obool)), _u10404), hAPP(hAPP(c_COMBB(tc_fun(_u10400, tc_HOL_Obool), tc_fun(_u10401, tc_HOL_Obool), _u10403), c_Relation_OImage(_u10400, _u10401, _u10402)), _u10405))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10408), _u10409)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10408, tc_fun(_u10410, tc_HOL_Obool)), _u10409), _u10411))) | ~hBOOL(hAPP(hAPP(c_member(_u10408), _u10406), _u10409)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(_u10411, _u10406))) )).
% 13.05/13.26 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10408), _u10409)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10408, tc_fun(_u10410, tc_HOL_Obool)), _u10409), _u10411))) | hBOOL(hAPP(hAPP(c_member(_u10408), skolem166(_u10411, _u10410, _u10409, _u10408)), _u10409)) )).
% 13.05/13.26 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10408), _u10409)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10408, tc_fun(_u10410, tc_HOL_Obool)), _u10409), _u10411))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(_u10411, skolem166(_u10411, _u10410, _u10409, _u10408)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u10412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10412), _u10413), _u10414)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10412, _u10414, _u10413) = c_Orderings_Obot__class_Obot(tc_fun(_u10412, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10415) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10415, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10415, _u10416, _u10417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10415), _u10416), _u10417)) )).
% 13.05/13.26 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10415) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10415), _u10416), _u10417)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10415, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10415, _u10416, _u10417)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10418) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10418, _u10419, _u10420) != c_Orderings_Obot__class_Obot(tc_fun(_u10418, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10418), _u10419), _u10420)) )).
% 13.05/13.26 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10418) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10418), _u10419), _u10420)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10418, _u10419, _u10420) = c_Orderings_Obot__class_Obot(tc_fun(_u10418, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u10421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10421), _u10422), _u10423)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10421), _u10423), _u10424)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10421, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10421, _u10422, _u10423)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10421, _u10423, _u10424)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10421, _u10422, _u10424)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u10425) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10425, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10425, _u10426, _u10427)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10425, _u10427, _u10428)) = c_Orderings_Obot__class_Obot(tc_fun(_u10425, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10429, _u10430)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10430), _u10429)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u10431, _u10432, _u10433), _u10434) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10431, tc_fun(_u10432, tc_HOL_Obool)), _u10434), hAPP(hAPP(c_COMBB(tc_fun(_u10431, tc_HOL_Obool), tc_fun(_u10432, tc_HOL_Obool), _u10431), c_Relation_OImage(_u10431, _u10432, _u10433)), hAPP(hAPP(c_COMBC(_u10431, tc_fun(_u10431, tc_HOL_Obool), tc_fun(_u10431, tc_HOL_Obool)), c_Set_Oinsert(_u10431)), c_Orderings_Obot__class_Obot(tc_fun(_u10431, tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u10435) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10435, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10435, _u10436, _u10437)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10435, _u10438, _u10439)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10435, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10435), _u10436), _u10438), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10435), _u10437), _u10439))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u10440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10440, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10440, _u10441, _u10442)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10440, _u10442, _u10443)) = c_Orderings_Obot__class_Obot(tc_fun(_u10440, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10444, _u10445)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10445), _u10444))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u10446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10446), _u10447), _u10448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10446), _u10448), _u10449)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10446, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10446, _u10447, _u10448)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10446, _u10448, _u10449)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10446, _u10447, _u10449)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10450), _u10451), _u10452)) | ~hBOOL(hAPP(hAPP(c_member(_u10453), _u10454), hAPP(_u10455, _u10451))) | hBOOL(hAPP(hAPP(c_member(_u10453), _u10454), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10450, tc_fun(_u10453, tc_HOL_Obool)), _u10452), _u10455))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u10456, _u10457, _u10458), _u10459) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10456, tc_fun(_u10457, tc_HOL_Obool)), _u10459), hAPP(hAPP(c_COMBC(_u10456, tc_fun(_u10457, tc_HOL_Obool), tc_fun(_u10457, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10457, tc_fun(tc_fun(_u10457, tc_HOL_Obool), tc_fun(_u10457, tc_HOL_Obool)), _u10456), c_Set_Oinsert(_u10457)), _u10458)), c_Orderings_Obot__class_Obot(tc_fun(_u10457, tc_HOL_Obool))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10460, _u10461, _u10462) | ~c_Equiv__Relations_Oequiv(_u10463, _u10464, _u10465) | ~c_Equiv__Relations_Ocongruent2(_u10460, _u10463, tc_fun(_u10466, tc_HOL_Obool), _u10462, _u10465, _u10467) | ~hBOOL(hAPP(hAPP(c_member(_u10460), _u10468), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(_u10463), _u10469), _u10464)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10460, tc_fun(_u10466, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10460, _u10460, _u10462), hAPP(hAPP(c_Set_Oinsert(_u10460), _u10468), c_Orderings_Obot__class_Obot(tc_fun(_u10460, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u10463, tc_fun(_u10466, tc_HOL_Obool)), tc_fun(_u10466, tc_HOL_Obool), _u10460), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10463, tc_fun(_u10466, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10463, _u10463, _u10465), hAPP(hAPP(c_Set_Oinsert(_u10463), _u10469), c_Orderings_Obot__class_Obot(tc_fun(_u10463, tc_HOL_Obool)))))), _u10467)) = hAPP(hAPP(_u10467, _u10468), _u10469)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10483), _u10472), _u10485)) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10471), hAPP(_u10487, _u10472))) | hBOOL(hAPP(_u10489, _u10471)) | hBOOL(hAPP(hAPP(c_member(_u10481), skolem167(_u10489, _u10487, _u10485, _u10483, _u10481)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10483, tc_fun(_u10481, tc_HOL_Obool)), _u10485), _u10487))) )).
% 13.05/13.26 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10483), _u10472), _u10485)) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10471), hAPP(_u10487, _u10472))) | hBOOL(hAPP(_u10489, _u10471)) | ~hBOOL(hAPP(_u10489, skolem167(_u10489, _u10487, _u10485, _u10483, _u10481))) )).
% 13.05/13.26 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10484, tc_fun(_u10482, tc_HOL_Obool)), _u10486), _u10488))) | hBOOL(hAPP(_u10490, _u10475)) | hBOOL(hAPP(hAPP(c_member(_u10484), skolem168(_u10490, _u10488, _u10486, _u10484, _u10482)), _u10486)) )).
% 13.05/13.26 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10484, tc_fun(_u10482, tc_HOL_Obool)), _u10486), _u10488))) | hBOOL(hAPP(_u10490, _u10475)) | hBOOL(hAPP(hAPP(c_member(_u10482), skolem169(_u10490, _u10488, _u10486, _u10484, _u10482)), hAPP(_u10488, skolem168(_u10490, _u10488, _u10486, _u10484, _u10482)))) )).
% 13.05/13.26 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10484, tc_fun(_u10482, tc_HOL_Obool)), _u10486), _u10488))) | hBOOL(hAPP(_u10490, _u10475)) | ~hBOOL(hAPP(_u10490, skolem169(_u10490, _u10488, _u10486, _u10484, _u10482))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10491) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10492, _u10491), _u10493), hAPP(hAPP(c_COMBB(tc_fun(_u10494, _u10491), _u10491, _u10492), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10494, _u10491), _u10495)), _u10496)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10494, _u10491), _u10495), hAPP(hAPP(c_COMBB(tc_fun(_u10492, _u10491), _u10491, _u10494), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10492, _u10491), _u10493)), hAPP(c_COMBC(_u10492, _u10494, _u10491), _u10496)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10497, tc_fun(_u10498, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10499, tc_fun(_u10497, tc_HOL_Obool)), _u10500), _u10501)), _u10502) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10499, tc_fun(_u10498, tc_HOL_Obool)), _u10500), hAPP(hAPP(c_COMBC(_u10499, tc_fun(_u10497, tc_fun(_u10498, tc_HOL_Obool)), tc_fun(_u10498, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10497, tc_HOL_Obool), tc_fun(tc_fun(_u10497, tc_fun(_u10498, tc_HOL_Obool)), tc_fun(_u10498, tc_HOL_Obool)), _u10499), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10497, tc_fun(_u10498, tc_HOL_Obool))), _u10501)), _u10502))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10503, tc_fun(_u10504, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10505, tc_fun(_u10503, tc_HOL_Obool)), _u10506), _u10507)), _u10508) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10505, tc_fun(_u10504, tc_HOL_Obool)), _u10506), hAPP(hAPP(c_COMBC(_u10505, tc_fun(_u10503, tc_fun(_u10504, tc_HOL_Obool)), tc_fun(_u10504, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10503, tc_HOL_Obool), tc_fun(tc_fun(_u10503, tc_fun(_u10504, tc_HOL_Obool)), tc_fun(_u10504, tc_HOL_Obool)), _u10505), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10503, tc_fun(_u10504, tc_HOL_Obool))), _u10507)), _u10508))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10509, tc_fun(_u10510, tc_HOL_Obool)), _u10511), hAPP(hAPP(c_COMBC(_u10509, tc_fun(_u10512, tc_fun(_u10510, tc_HOL_Obool)), tc_fun(_u10510, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10512, tc_HOL_Obool), tc_fun(tc_fun(_u10512, tc_fun(_u10510, tc_HOL_Obool)), tc_fun(_u10510, tc_HOL_Obool)), _u10509), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10512, tc_fun(_u10510, tc_HOL_Obool))), _u10513)), _u10514)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10512, tc_fun(_u10510, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10509, tc_fun(_u10512, tc_HOL_Obool)), _u10511), _u10513)), _u10514)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u10515, _u10516, _u10517, _u10518, _u10519, _u10520) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10515, _u10515)), hAPP(hAPP(c_Product__Type_OPair(_u10515, _u10515), _u10521), _u10522)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10516, _u10516)), hAPP(hAPP(c_Product__Type_OPair(_u10516, _u10516), _u10523), _u10524)), _u10519)) | ( hAPP(hAPP(_u10520, _u10521), _u10523) = hAPP(hAPP(_u10520, _u10522), _u10524)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10528, _u10527), _u10529), _u10530)), _u10531)) | ~hBOOL(hAPP(hAPP(c_member(_u10528), _u10525), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(_u10530, _u10525)), _u10531)) )).
% 13.05/13.26 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10528, _u10527), _u10529), _u10530)), _u10531)) | hBOOL(hAPP(hAPP(c_member(_u10528), skolem170(_u10531, _u10530, _u10529, _u10528, _u10527)), _u10529)) )).
% 13.05/13.26 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10528, _u10527), _u10529), _u10530)), _u10531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(_u10530, skolem170(_u10531, _u10530, _u10529, _u10528, _u10527))), _u10531)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10534) | ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10536, _u10534), _u10537), _u10538))) | hBOOL(hAPP(hAPP(c_member(_u10536), skolem171(_u10538, _u10537, _u10536, _u10535, _u10534)), _u10537)) )).
% 13.05/13.26 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10534) | ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10536, _u10534), _u10537), _u10538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(_u10538, skolem171(_u10538, _u10537, _u10536, _u10535, _u10534)))) )).
% 13.05/13.26 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10534) | ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(hAPP(c_member(_u10536), _u10533), _u10537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(_u10538, _u10533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10536, _u10534), _u10537), _u10538))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10546), _u10548), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10550, tc_fun(_u10546, tc_HOL_Obool)), _u10552), _u10554))) | hBOOL(hAPP(hAPP(c_member(_u10550), skolem172(_u10554, _u10552, _u10550, _u10548, _u10546)), _u10552)) )).
% 13.05/13.26 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10546), _u10548), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10550, tc_fun(_u10546, tc_HOL_Obool)), _u10552), _u10554))) | hBOOL(hAPP(hAPP(c_member(_u10546), _u10548), hAPP(_u10554, skolem172(_u10554, _u10552, _u10550, _u10548, _u10546)))) )).
% 13.05/13.26 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10551), _u10540), _u10553)) | ~hBOOL(hAPP(hAPP(c_member(_u10547), _u10549), hAPP(_u10555, _u10540))) | hBOOL(hAPP(hAPP(c_member(_u10547), _u10549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10551, tc_fun(_u10547, tc_HOL_Obool)), _u10553), _u10555))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10556) | ( _u10557 = c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10558, _u10556), _u10557), hAPP(c_COMBK(_u10556, _u10558), _u10559)) = _u10559) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u10566, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10568, tc_fun(_u10566, tc_HOL_Obool)), _u10570), _u10572)) | ~hBOOL(hAPP(hAPP(c_member(_u10568), _u10560), _u10570)) | ( hAPP(_u10572, _u10560) = c_Orderings_Obot__class_Obot(tc_fun(_u10566, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10569, tc_fun(_u10567, tc_HOL_Obool)), _u10571), _u10573)) | hBOOL(hAPP(hAPP(c_member(_u10569), skolem173(_u10573, _u10571, _u10569, _u10567)), _u10571)) )).
% 13.05/13.26 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10569, tc_fun(_u10567, tc_HOL_Obool)), _u10571), _u10573)) | ( hAPP(_u10573, skolem173(_u10573, _u10571, _u10569, _u10567)) != c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10574, tc_fun(_u10575, tc_HOL_Obool)), _u10576), hAPP(c_COMBK(tc_fun(_u10575, tc_HOL_Obool), _u10574), c_Orderings_Obot__class_Obot(tc_fun(_u10575, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10575, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__constant-1, axiom, ( ( _u10581 != c_Orderings_Obot__class_Obot(tc_fun(_u10583, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10583, tc_fun(_u10585, tc_HOL_Obool)), _u10581), hAPP(c_COMBK(tc_fun(_u10585, tc_HOL_Obool), _u10583), _u10587)) = c_Orderings_Obot__class_Obot(tc_fun(_u10585, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_UN__constant-2, axiom, ( ( _u10582 = c_Orderings_Obot__class_Obot(tc_fun(_u10584, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10584, tc_fun(_u10586, tc_HOL_Obool)), _u10582), hAPP(c_COMBK(tc_fun(_u10586, tc_HOL_Obool), _u10584), _u10588)) = _u10588) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10595, tc_fun(_u10597, tc_HOL_Obool)), _u10599), _u10601) != c_Orderings_Obot__class_Obot(tc_fun(_u10597, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10595), _u10589), _u10599)) | ( hAPP(_u10601, _u10589) = c_Orderings_Obot__class_Obot(tc_fun(_u10597, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10596, tc_fun(_u10598, tc_HOL_Obool)), _u10600), _u10602) = c_Orderings_Obot__class_Obot(tc_fun(_u10598, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10596), skolem174(_u10602, _u10600, _u10598, _u10596)), _u10600)) )).
% 13.05/13.26 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10596, tc_fun(_u10598, tc_HOL_Obool)), _u10600), _u10602) = c_Orderings_Obot__class_Obot(tc_fun(_u10598, tc_HOL_Obool))) | ( hAPP(_u10602, skolem174(_u10602, _u10600, _u10598, _u10596)) != c_Orderings_Obot__class_Obot(tc_fun(_u10598, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10610, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10612, tc_fun(_u10610, tc_HOL_Obool)), _u10614), _u10616)), _u10618)) | ~hBOOL(hAPP(hAPP(c_member(_u10612), _u10603), _u10614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10610, tc_HOL_Obool)), hAPP(_u10616, _u10603)), _u10618)) )).
% 13.05/13.26 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10611, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10613, tc_fun(_u10611, tc_HOL_Obool)), _u10615), _u10617)), _u10619)) | hBOOL(hAPP(hAPP(c_member(_u10613), skolem175(_u10619, _u10617, _u10615, _u10613, _u10611)), _u10615)) )).
% 13.05/13.26 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10611, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10613, tc_fun(_u10611, tc_HOL_Obool)), _u10615), _u10617)), _u10619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10611, tc_HOL_Obool)), hAPP(_u10617, skolem175(_u10619, _u10617, _u10615, _u10613, _u10611))), _u10619)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10620, tc_fun(_u10621, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10622, _u10620, _u10623), _u10624)), _u10625) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10622, tc_fun(_u10621, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_COMBB(_u10620, tc_fun(_u10621, tc_HOL_Obool), _u10622), _u10625), _u10623))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u10626, _u10627, _u10628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10629, tc_fun(_u10626, tc_HOL_Obool)), _u10630), _u10631)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10629, tc_fun(_u10627, tc_HOL_Obool)), _u10630), hAPP(hAPP(c_COMBB(tc_fun(_u10626, tc_HOL_Obool), tc_fun(_u10627, tc_HOL_Obool), _u10629), c_Set_Oimage(_u10626, _u10627, _u10628)), _u10631))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10632, tc_fun(_u10633, tc_HOL_Obool)), _u10634), hAPP(hAPP(c_COMBB(_u10635, tc_fun(_u10633, tc_HOL_Obool), _u10632), _u10636), _u10637)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10635, tc_fun(_u10633, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10632, _u10635, _u10637), _u10634)), _u10636)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10638, tc_fun(_u10639, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10638, tc_HOL_Obool)), _u10640), _u10641)), _u10642) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10639, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10638, tc_fun(_u10639, tc_HOL_Obool)), _u10640), _u10642)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10638, tc_fun(_u10639, tc_HOL_Obool)), _u10641), _u10642))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10643, tc_fun(_u10644, tc_HOL_Obool)), _u10645), hAPP(hAPP(c_COMBS(_u10643, tc_fun(_u10644, tc_HOL_Obool), tc_fun(_u10644, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10644, tc_HOL_Obool), tc_fun(tc_fun(_u10644, tc_HOL_Obool), tc_fun(_u10644, tc_HOL_Obool)), _u10643), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10644, tc_HOL_Obool))), _u10646)), _u10647)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10644, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10643, tc_fun(_u10644, tc_HOL_Obool)), _u10645), _u10646)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10643, tc_fun(_u10644, tc_HOL_Obool)), _u10645), _u10647))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10648, tc_fun(_u10649, tc_HOL_Obool)), _u10650), hAPP(hAPP(c_COMBB(tc_fun(_u10649, tc_HOL_Obool), tc_fun(_u10649, tc_HOL_Obool), _u10648), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10649, tc_HOL_Obool)), _u10651)), _u10652)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10649, tc_HOL_Obool)), _u10651), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10648, tc_fun(_u10649, tc_HOL_Obool)), _u10650), _u10652))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10653, tc_fun(_u10654, tc_HOL_Obool)), _u10655), hAPP(hAPP(c_COMBC(_u10653, tc_fun(_u10654, tc_HOL_Obool), tc_fun(_u10654, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10654, tc_HOL_Obool), tc_fun(tc_fun(_u10654, tc_HOL_Obool), tc_fun(_u10654, tc_HOL_Obool)), _u10653), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10654, tc_HOL_Obool))), _u10656)), _u10657)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10654, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10653, tc_fun(_u10654, tc_HOL_Obool)), _u10655), _u10656)), _u10657)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10658, tc_HOL_Obool)), _u10659), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10660, tc_fun(_u10658, tc_HOL_Obool)), _u10661), _u10662)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10660, tc_fun(_u10658, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_COMBB(tc_fun(_u10658, tc_HOL_Obool), tc_fun(_u10658, tc_HOL_Obool), _u10660), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10658, tc_HOL_Obool)), _u10659)), _u10662))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10665, tc_fun(_u10663, tc_HOL_Obool)), _u10666), _u10667)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10665, tc_fun(_u10663, tc_HOL_Obool)), _u10666), hAPP(hAPP(c_COMBB(tc_fun(_u10663, tc_HOL_Obool), tc_fun(_u10663, tc_HOL_Obool), _u10665), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10663, tc_HOL_Obool)), _u10664)), _u10667))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10668, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10669, tc_fun(_u10668, tc_HOL_Obool)), _u10670), _u10671)), _u10672) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10669, tc_fun(_u10668, tc_HOL_Obool)), _u10670), hAPP(hAPP(c_COMBC(_u10669, tc_fun(_u10668, tc_HOL_Obool), tc_fun(_u10668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10668, tc_HOL_Obool), tc_fun(tc_fun(_u10668, tc_HOL_Obool), tc_fun(_u10668, tc_HOL_Obool)), _u10669), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10668, tc_HOL_Obool))), _u10671)), _u10672))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10673, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10674, tc_fun(_u10673, tc_HOL_Obool)), _u10675), _u10676)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10677, tc_fun(_u10673, tc_HOL_Obool)), _u10678), _u10679)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10674, tc_fun(_u10673, tc_HOL_Obool)), _u10675), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool)), tc_fun(_u10673, tc_HOL_Obool), _u10674), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10677, tc_fun(_u10673, tc_HOL_Obool)), _u10678)), hAPP(hAPP(c_COMBC(_u10674, tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool)), tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10673, tc_HOL_Obool), tc_fun(_u10673, tc_HOL_Obool)), tc_fun(tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool)), tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool))), _u10674), c_COMBB(tc_fun(_u10673, tc_HOL_Obool), tc_fun(_u10673, tc_HOL_Obool), _u10677)), hAPP(hAPP(c_COMBB(tc_fun(_u10673, tc_HOL_Obool), tc_fun(tc_fun(_u10673, tc_HOL_Obool), tc_fun(_u10673, tc_HOL_Obool)), _u10674), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10673, tc_HOL_Obool))), _u10676))), _u10679)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10680) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10681, tc_fun(_u10682, _u10680)), _u10683), _u10684), _u10685) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10681, _u10680), _u10683), hAPP(hAPP(c_COMBC(_u10681, _u10682, _u10680), _u10684), _u10685))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10686, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10687, tc_fun(_u10686, tc_HOL_Obool)), _u10688), _u10689)), _u10690) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10687, tc_fun(_u10686, tc_HOL_Obool)), _u10688), hAPP(hAPP(c_COMBC(_u10687, tc_fun(_u10686, tc_HOL_Obool), tc_fun(_u10686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10686, tc_HOL_Obool), tc_fun(tc_fun(_u10686, tc_HOL_Obool), tc_fun(_u10686, tc_HOL_Obool)), _u10687), c_Groups_Ominus__class_Ominus(tc_fun(_u10686, tc_HOL_Obool))), _u10689)), _u10690))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10691, tc_fun(_u10692, tc_HOL_Obool)), _u10693), hAPP(hAPP(c_COMBC(_u10691, tc_fun(_u10692, tc_HOL_Obool), tc_fun(_u10692, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10692, tc_HOL_Obool), tc_fun(tc_fun(_u10692, tc_HOL_Obool), tc_fun(_u10692, tc_HOL_Obool)), _u10691), c_Groups_Ominus__class_Ominus(tc_fun(_u10692, tc_HOL_Obool))), _u10694)), _u10695)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10692, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10691, tc_fun(_u10692, tc_HOL_Obool)), _u10693), _u10694)), _u10695)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10697, tc_HOL_Obool)), _u10698), _u10699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10696), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10697, _u10696), _u10698), _u10700)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10697, _u10696), _u10699), _u10700))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10701) | ~hBOOL(hAPP(hAPP(c_member(_u10702), _u10703), _u10704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10701), hAPP(_u10705, _u10703)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10702, _u10701), _u10704), _u10705))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10706), _u10707), _u10708)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10706, tc_fun(_u10709, tc_HOL_Obool)), _u10708), hAPP(hAPP(c_COMBB(tc_fun(_u10709, tc_HOL_Obool), tc_fun(_u10709, tc_HOL_Obool), _u10706), hAPP(c_Set_Oinsert(_u10709), _u10710)), _u10711)) = hAPP(hAPP(c_Set_Oinsert(_u10709), _u10710), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10706, tc_fun(_u10709, tc_HOL_Obool)), _u10708), _u10711))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10712), _u10713), _u10714)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10715, tc_HOL_Obool)), hAPP(_u10716, _u10713)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10712, tc_fun(_u10715, tc_HOL_Obool)), _u10714), _u10716))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10717), _u10718), _u10719)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10720, tc_HOL_Obool)), hAPP(_u10721, _u10718)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10717, tc_fun(_u10720, tc_HOL_Obool)), _u10719), _u10721)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10717, tc_fun(_u10720, tc_HOL_Obool)), _u10719), _u10721)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u10727 != c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10731), _u10733), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10729, tc_fun(_u10731, tc_HOL_Obool)), _u10727), _u10735)) = hAPP(hAPP(c_Set_Oinsert(_u10731), _u10733), c_Orderings_Obot__class_Obot(tc_fun(_u10731, tc_HOL_Obool)))) )).
% 13.05/13.26 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u10728 = c_Orderings_Obot__class_Obot(tc_fun(_u10730, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10730, tc_fun(_u10732, tc_HOL_Obool)), _u10728), _u10736)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10730, tc_fun(_u10732, tc_HOL_Obool)), _u10728), hAPP(hAPP(c_COMBB(tc_fun(_u10732, tc_HOL_Obool), tc_fun(_u10732, tc_HOL_Obool), _u10730), hAPP(c_Set_Oinsert(_u10732), _u10734)), _u10736))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10737, tc_fun(_u10737, tc_HOL_Obool)), _u10738), hAPP(hAPP(c_COMBC(_u10737, tc_fun(_u10737, tc_HOL_Obool), tc_fun(_u10737, tc_HOL_Obool)), c_Set_Oinsert(_u10737)), c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool)))) = _u10738) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u10744 != c_Orderings_Obot__class_Obot(tc_fun(_u10746, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10746, tc_fun(_u10748, tc_HOL_Obool)), _u10744), hAPP(hAPP(c_COMBB(tc_fun(_u10748, tc_HOL_Obool), tc_fun(_u10748, tc_HOL_Obool), _u10746), hAPP(c_Set_Oinsert(_u10748), _u10750)), _u10752)) = c_Orderings_Obot__class_Obot(tc_fun(_u10748, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u10745 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10747, tc_fun(_u10749, tc_HOL_Obool)), _u10745), hAPP(hAPP(c_COMBB(tc_fun(_u10749, tc_HOL_Obool), tc_fun(_u10749, tc_HOL_Obool), _u10747), hAPP(c_Set_Oinsert(_u10749), _u10751)), _u10753)) = hAPP(hAPP(c_Set_Oinsert(_u10749), _u10751), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10747, tc_fun(_u10749, tc_HOL_Obool)), _u10745), _u10753))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u10759 != c_Orderings_Obot__class_Obot(tc_fun(_u10761, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10763, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10761, tc_fun(_u10763, tc_HOL_Obool)), _u10759), _u10765)), _u10767) = _u10767) )).
% 13.05/13.26 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u10760 = c_Orderings_Obot__class_Obot(tc_fun(_u10762, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10764, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10762, tc_fun(_u10764, tc_HOL_Obool)), _u10760), _u10766)), _u10768) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10762, tc_fun(_u10764, tc_HOL_Obool)), _u10760), hAPP(hAPP(c_COMBC(_u10762, tc_fun(_u10764, tc_HOL_Obool), tc_fun(_u10764, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10764, tc_HOL_Obool), tc_fun(tc_fun(_u10764, tc_HOL_Obool), tc_fun(_u10764, tc_HOL_Obool)), _u10762), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10764, tc_HOL_Obool))), _u10766)), _u10768))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u10774 != c_Orderings_Obot__class_Obot(tc_fun(_u10776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10778, tc_HOL_Obool)), _u10780), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10776, tc_fun(_u10778, tc_HOL_Obool)), _u10774), _u10782)) = _u10780) )).
% 13.05/13.26 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u10775 = c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10779, tc_HOL_Obool)), _u10781), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10777, tc_fun(_u10779, tc_HOL_Obool)), _u10775), _u10783)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10777, tc_fun(_u10779, tc_HOL_Obool)), _u10775), hAPP(hAPP(c_COMBB(tc_fun(_u10779, tc_HOL_Obool), tc_fun(_u10779, tc_HOL_Obool), _u10777), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10779, tc_HOL_Obool)), _u10781)), _u10783))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u10789 != c_Orderings_Obot__class_Obot(tc_fun(_u10791, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10791, tc_fun(_u10793, tc_HOL_Obool)), _u10789), hAPP(hAPP(c_COMBC(_u10791, tc_fun(_u10793, tc_HOL_Obool), tc_fun(_u10793, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10793, tc_HOL_Obool), tc_fun(tc_fun(_u10793, tc_HOL_Obool), tc_fun(_u10793, tc_HOL_Obool)), _u10791), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10793, tc_HOL_Obool))), _u10795)), _u10797)) = c_Orderings_Obot__class_Obot(tc_fun(_u10793, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u10790 = c_Orderings_Obot__class_Obot(tc_fun(_u10792, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10792, tc_fun(_u10794, tc_HOL_Obool)), _u10790), hAPP(hAPP(c_COMBC(_u10792, tc_fun(_u10794, tc_HOL_Obool), tc_fun(_u10794, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10794, tc_HOL_Obool), tc_fun(tc_fun(_u10794, tc_HOL_Obool), tc_fun(_u10794, tc_HOL_Obool)), _u10792), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10794, tc_HOL_Obool))), _u10796)), _u10798)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10794, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10792, tc_fun(_u10794, tc_HOL_Obool)), _u10790), _u10796)), _u10798)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u10804 != c_Orderings_Obot__class_Obot(tc_fun(_u10806, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10806, tc_fun(_u10808, tc_HOL_Obool)), _u10804), hAPP(hAPP(c_COMBB(tc_fun(_u10808, tc_HOL_Obool), tc_fun(_u10808, tc_HOL_Obool), _u10806), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10808, tc_HOL_Obool)), _u10810)), _u10812)) = c_Orderings_Obot__class_Obot(tc_fun(_u10808, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u10805 = c_Orderings_Obot__class_Obot(tc_fun(_u10807, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10807, tc_fun(_u10809, tc_HOL_Obool)), _u10805), hAPP(hAPP(c_COMBB(tc_fun(_u10809, tc_HOL_Obool), tc_fun(_u10809, tc_HOL_Obool), _u10807), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10809, tc_HOL_Obool)), _u10811)), _u10813)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10809, tc_HOL_Obool)), _u10811), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10807, tc_fun(_u10809, tc_HOL_Obool)), _u10805), _u10813))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10814, tc_fun(_u10815, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10814), _u10816), _u10817)), _u10818) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10815, tc_HOL_Obool)), hAPP(_u10818, _u10816)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10814, tc_fun(_u10815, tc_HOL_Obool)), _u10817), _u10818))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10819, _u10820, _u10821) | ~c_Equiv__Relations_Oequiv(_u10822, _u10823, _u10824) | ~c_Equiv__Relations_Ocongruent2(_u10819, _u10822, tc_fun(_u10825, tc_HOL_Obool), _u10821, _u10824, _u10826) | ~hBOOL(hAPP(hAPP(c_member(_u10822), _u10827), _u10823)) | c_Equiv__Relations_Ocongruent(_u10819, tc_fun(_u10825, tc_HOL_Obool), _u10821, hAPP(hAPP(c_COMBB(tc_fun(_u10822, tc_fun(_u10825, tc_HOL_Obool)), tc_fun(_u10825, tc_HOL_Obool), _u10819), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10822, tc_fun(_u10825, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10822, _u10822, _u10824), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool)))))), _u10826)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10828) = 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, _u10828)), 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)))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10829, _u10830, _u10831) | ~c_Equiv__Relations_Ocongruent(_u10829, tc_fun(_u10832, tc_HOL_Obool), _u10831, _u10833) | ~hBOOL(hAPP(hAPP(c_member(_u10829), _u10834), _u10830)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10829, tc_fun(_u10832, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10829, _u10829, _u10831), hAPP(hAPP(c_Set_Oinsert(_u10829), _u10834), c_Orderings_Obot__class_Obot(tc_fun(_u10829, tc_HOL_Obool))))), _u10833) = hAPP(_u10833, _u10834)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10835), _u10836), _u10837)) | ~hBOOL(hAPP(hAPP(hAPP(_u10838, _u10836), _u10839), _u10840)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10835, tc_fun(_u10841, tc_fun(_u10842, tc_HOL_Obool))), _u10837), _u10838), _u10839), _u10840)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u10845) != hAPP(c_Int_ORep__Integ, _u10847)) | ( _u10845 = _u10847) )).
% 13.05/13.26 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u10846 != _u10848) | ( hAPP(c_Int_ORep__Integ, _u10846) = hAPP(c_Int_ORep__Integ, _u10848)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10849)) = _u10849) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u10850, _u10851, _u10852, _u10853) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10850, _u10850)), hAPP(hAPP(c_Product__Type_OPair(_u10850, _u10850), _u10854), _u10855)), _u10852)) | ( hAPP(_u10853, _u10854) = hAPP(_u10853, _u10855)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u10856) = 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, _u10856)), 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))))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10857, _u10858, _u10859) | ~c_Equiv__Relations_Ocongruent2(_u10857, _u10860, _u10861, _u10859, _u10862, _u10863) | ~hBOOL(hAPP(hAPP(c_member(_u10857), _u10864), _u10858)) | c_Equiv__Relations_Ocongruent(_u10860, _u10861, _u10862, hAPP(_u10863, _u10864)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | hBOOL(hAPP(hAPP(c_member(_u10867), skolem176(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)), _u10868)) )).
% 13.05/13.26 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | hBOOL(hAPP(hAPP(c_member(_u10867), skolem177(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)), _u10868)) )).
% 13.05/13.26 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | ( hAPP(_u10871, skolem176(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)) = hAPP(_u10871, skolem177(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867))) )).
% 13.05/13.26 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10867, _u10867)), hAPP(hAPP(c_Product__Type_OPair(_u10867, _u10867), skolem176(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)), skolem177(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867))), _u10869)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10876, _u10877, _u10878) | ~c_Equiv__Relations_Oequiv(_u10879, _u10880, _u10881) | ~c_Equiv__Relations_Ocongruent2(_u10876, _u10879, tc_fun(_u10882, tc_HOL_Obool), _u10878, _u10881, _u10883) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10876, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10876), _u10877), _u10878))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10879, tc_HOL_Obool)), _u10885), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10879), _u10880), _u10881))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10876, tc_fun(_u10882, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_COMBB(tc_fun(_u10879, tc_fun(_u10882, tc_HOL_Obool)), tc_fun(_u10882, tc_HOL_Obool), _u10876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10879, tc_fun(_u10882, tc_HOL_Obool)), _u10885)), _u10883))), _u10886)) | hBOOL(hAPP(hAPP(c_member(_u10876), skolem178(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876)), _u10877)) )).
% 13.05/13.26 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10876, _u10877, _u10878) | ~c_Equiv__Relations_Oequiv(_u10879, _u10880, _u10881) | ~c_Equiv__Relations_Ocongruent2(_u10876, _u10879, tc_fun(_u10882, tc_HOL_Obool), _u10878, _u10881, _u10883) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10876, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10876), _u10877), _u10878))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10879, tc_HOL_Obool)), _u10885), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10879), _u10880), _u10881))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10876, tc_fun(_u10882, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_COMBB(tc_fun(_u10879, tc_fun(_u10882, tc_HOL_Obool)), tc_fun(_u10882, tc_HOL_Obool), _u10876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10879, tc_fun(_u10882, tc_HOL_Obool)), _u10885)), _u10883))), _u10886)) | hBOOL(hAPP(hAPP(c_member(_u10879), skolem179(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876)), _u10880)) )).
% 13.05/13.26 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u10876, _u10877, _u10878) | ~c_Equiv__Relations_Oequiv(_u10879, _u10880, _u10881) | ~c_Equiv__Relations_Ocongruent2(_u10876, _u10879, tc_fun(_u10882, tc_HOL_Obool), _u10878, _u10881, _u10883) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10876, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10876), _u10877), _u10878))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10879, tc_HOL_Obool)), _u10885), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10879), _u10880), _u10881))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10876, tc_fun(_u10882, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_COMBB(tc_fun(_u10879, tc_fun(_u10882, tc_HOL_Obool)), tc_fun(_u10882, tc_HOL_Obool), _u10876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10879, tc_fun(_u10882, tc_HOL_Obool)), _u10885)), _u10883))), _u10886)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(_u10883, skolem178(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876)), skolem179(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876))), _u10886)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10888, _u10889, _u10890) | ~c_Equiv__Relations_Ocongruent(_u10888, tc_fun(_u10891, tc_HOL_Obool), _u10890, _u10892) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10888, tc_HOL_Obool)), _u10893), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10888), _u10889), _u10890))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10891, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10888, tc_fun(_u10891, tc_HOL_Obool)), _u10893), _u10892)), _u10894)) | hBOOL(hAPP(hAPP(c_member(_u10888), skolem180(_u10894, _u10893, _u10892, _u10891, _u10890, _u10889, _u10888)), _u10889)) )).
% 13.05/13.26 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10888, _u10889, _u10890) | ~c_Equiv__Relations_Ocongruent(_u10888, tc_fun(_u10891, tc_HOL_Obool), _u10890, _u10892) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10888, tc_HOL_Obool)), _u10893), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10888), _u10889), _u10890))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10891, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10888, tc_fun(_u10891, tc_HOL_Obool)), _u10893), _u10892)), _u10894)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10891, tc_HOL_Obool)), hAPP(_u10892, skolem180(_u10894, _u10893, _u10892, _u10891, _u10890, _u10889, _u10888))), _u10894)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10904, tc_fun(_u10906, tc_fun(_u10908, tc_HOL_Obool))), _u10910), _u10912), _u10914), _u10916)) | hBOOL(hAPP(hAPP(c_member(_u10904), skolem181(_u10916, _u10914, _u10912, _u10910, _u10908, _u10906, _u10904)), _u10910)) )).
% 13.05/13.26 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10904, tc_fun(_u10906, tc_fun(_u10908, tc_HOL_Obool))), _u10910), _u10912), _u10914), _u10916)) | hBOOL(hAPP(hAPP(hAPP(_u10912, skolem181(_u10916, _u10914, _u10912, _u10910, _u10908, _u10906, _u10904)), _u10914), _u10916)) )).
% 13.05/13.26 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10905), _u10896), _u10911)) | ~hBOOL(hAPP(hAPP(hAPP(_u10913, _u10896), _u10915), _u10917)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10905, tc_fun(_u10907, tc_fun(_u10909, tc_HOL_Obool))), _u10911), _u10913), _u10915), _u10917)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u10918, _u10919) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10918, tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool)), _u10919), hAPP(hAPP(c_COMBC(_u10918, tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool), tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10918, _u10918), tc_fun(tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool), tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool)), _u10918), c_Set_Oinsert(tc_prod(_u10918, _u10918))), hAPP(hAPP(c_COMBS(_u10918, _u10918, tc_prod(_u10918, _u10918)), c_Product__Type_OPair(_u10918, _u10918)), c_COMBI(_u10918)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10921), _u10922)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10921), _u10923)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10921, tc_HOL_Obool)), _u10922), _u10923) != c_Orderings_Obot__class_Obot(tc_fun(_u10921, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10920, _u10921, c_Groups_Otimes__class_Otimes(_u10920)), _u10924), c_Groups_Oone__class_Oone(_u10920)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10921, tc_HOL_Obool)), _u10922), _u10923)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10920), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10920, _u10921, c_Groups_Otimes__class_Otimes(_u10920)), _u10924), c_Groups_Oone__class_Oone(_u10920)), _u10922)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10920, _u10921, c_Groups_Otimes__class_Otimes(_u10920)), _u10924), c_Groups_Oone__class_Oone(_u10920)), _u10923))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10927) | ( hAPP(_u10928, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10927), skolem182(_u10929, _u10928, _u10927)), skolem183(_u10929, _u10928, _u10927))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10927), hAPP(_u10928, skolem182(_u10929, _u10928, _u10927))), hAPP(_u10928, skolem183(_u10929, _u10928, _u10927)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10927), _u10929)) | ( _u10929 = c_Orderings_Obot__class_Obot(tc_fun(_u10927, tc_HOL_Obool))) | ( hAPP(_u10928, c_Big__Operators_Olattice_OSup__fin(_u10927, c_Orderings_Oord__class_Omax(_u10927), _u10929)) = c_Big__Operators_Olattice_OSup__fin(_u10927, c_Orderings_Oord__class_Omax(_u10927), hAPP(c_Set_Oimage(_u10927, _u10927, _u10928), _u10929))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10930, _u10931, _u10932), _u10933), _u10934), c_Orderings_Obot__class_Obot(tc_fun(_u10931, tc_HOL_Obool))) = _u10934) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u10935, _u10936) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10935, _u10935, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10935, tc_HOL_Obool, tc_fun(_u10935, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10935, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10935, tc_HOL_Obool)), _u10935), c_COMBC(_u10935, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10935, tc_HOL_Obool), tc_fun(_u10935, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10935), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10935), c_fconj)), c_fequal))), _u10936))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u10937, _u10938, _u10939, _u10940, _u10941, _u10942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10938), _u10943)) | ( hAPP(_u10942, _u10943) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10937, _u10938, _u10939), _u10941), _u10940), _u10943)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u10944, c_Orderings_Obot__class_Obot(tc_fun(_u10944, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10944, _u10944), tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u10945, _u10945, c_Relation_OId__on(_u10945, _u10946)), _u10947) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10945, tc_HOL_Obool)), _u10946), _u10947)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10949), _u10950)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10948, _u10949, c_Groups_Otimes__class_Otimes(_u10948)), hAPP(hAPP(c_COMBS(_u10949, _u10948, _u10948), hAPP(hAPP(c_COMBB(_u10948, tc_fun(_u10948, _u10948), _u10949), c_Groups_Otimes__class_Otimes(_u10948)), _u10951)), _u10952)), c_Groups_Oone__class_Oone(_u10948)), _u10950) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10948), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10948, _u10949, c_Groups_Otimes__class_Otimes(_u10948)), _u10951), c_Groups_Oone__class_Oone(_u10948)), _u10950)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10948, _u10949, c_Groups_Otimes__class_Otimes(_u10948)), _u10952), c_Groups_Oone__class_Oone(_u10948)), _u10950))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u10953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10954), _u10955)) | hBOOL(hAPP(hAPP(c_member(_u10954), _u10956), _u10955)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10953, _u10954, c_Groups_Otimes__class_Otimes(_u10953)), _u10957), _u10958), hAPP(hAPP(c_Set_Oinsert(_u10954), _u10956), _u10955)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10953), hAPP(_u10957, _u10956)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10953, _u10954, c_Groups_Otimes__class_Otimes(_u10953)), _u10957), _u10958), _u10955))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10960), _u10961)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10960, _u10959), _u10962), _u10961) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10959, _u10960, c_Groups_Otimes__class_Otimes(_u10959)), _u10962), c_Groups_Oone__class_Oone(_u10959)), _u10961)) )).
% 13.05/13.26 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10959) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10960), _u10961)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10960, _u10959), _u10962), _u10961) = c_Groups_Oone__class_Oone(_u10959)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10964), _u10965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10964, _u10963), _u10966), _u10965) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10963, _u10964, c_Groups_Otimes__class_Otimes(_u10963)), _u10966), c_Groups_Oone__class_Oone(_u10963)), _u10965)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Id__on__eqI-1, axiom, ( ( _u10967 != _u10968) | ~hBOOL(hAPP(hAPP(c_member(_u10969), _u10967), _u10970)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10969, _u10969)), hAPP(hAPP(c_Product__Type_OPair(_u10969, _u10969), _u10967), _u10968)), c_Relation_OId__on(_u10969, _u10970))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10975, _u10975)), hAPP(hAPP(c_Product__Type_OPair(_u10975, _u10975), _u10977), _u10979)), c_Relation_OId__on(_u10975, _u10981))) | ( _u10977 = _u10979) )).
% 13.05/13.26 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10975, _u10975)), hAPP(hAPP(c_Product__Type_OPair(_u10975, _u10975), _u10977), _u10979)), c_Relation_OId__on(_u10975, _u10981))) | hBOOL(hAPP(hAPP(c_member(_u10975), _u10977), _u10981)) )).
% 13.05/13.26 cnf(fact_Id__on__iff-3, axiom, ( ( _u10978 != _u10980) | ~hBOOL(hAPP(hAPP(c_member(_u10976), _u10978), _u10982)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10976, _u10976)), hAPP(hAPP(c_Product__Type_OPair(_u10976, _u10976), _u10978), _u10980)), c_Relation_OId__on(_u10976, _u10982))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10984), _u10985)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10984), _u10986)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10983), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), _u10985)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), _u10986)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10983), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10984, tc_HOL_Obool)), _u10985), _u10986))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10984, tc_HOL_Obool)), _u10985), _u10986)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10988), _u10989)) | ( hAPP(c_Set_Oimage(_u10988, _u10990, _u10991), _u10989) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u10990, tc_HOL_Obool), _u10988, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10990, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10988, tc_fun(_u10990, tc_HOL_Obool), tc_fun(_u10990, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10990, tc_fun(tc_fun(_u10990, tc_HOL_Obool), tc_fun(_u10990, tc_HOL_Obool)), _u10988), c_Set_Oinsert(_u10990)), _u10991)), c_Orderings_Obot__class_Obot(tc_fun(_u10990, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u10990, tc_HOL_Obool))), _u10989)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10994), _u10996)) | ( hAPP(c_Finite__Set_Ocard(_u10994), _u10996) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10994, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10994), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10996)) )).
% 13.05/13.26 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10995), _u10997)) | ( hAPP(c_Finite__Set_Ocard(_u10995), _u10997) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10998), _u10999)) | ( hAPP(c_Finite__Set_Ocard(_u10998), _u10999) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10998, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10998), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10999)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u11000, _u11001, _u11002, _u11003, _u11004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11001), _u11005)) | ( hAPP(hAPP(_u11004, _u11006), _u11005) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11000, _u11001, _u11002), _u11006), _u11003), _u11005)) )).
% 13.05/13.26 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u11000, _u11001, _u11002, _u11003, _u11004) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11001), _u11005)) | ( hAPP(hAPP(_u11004, _u11006), _u11005) = _u11003) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11010)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11009, tc_HOL_Obool)), _u11010), _u11011)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11008), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11010)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11011))) | hBOOL(hAPP(hAPP(c_member(_u11009), skolem184(_u11012, _u11011, _u11010, _u11009, _u11008)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11009, tc_HOL_Obool)), _u11010), _u11011))) )).
% 13.05/13.26 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11010)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11009, tc_HOL_Obool)), _u11010), _u11011)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11008), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11010)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11011))) | ( hAPP(_u11012, skolem184(_u11012, _u11011, _u11010, _u11009, _u11008)) != c_Groups_Oone__class_Oone(_u11008)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11014, _u11014)), _u11015), c_Relation_OId__on(_u11014, _u11016))) | hBOOL(hAPP(hAPP(c_member(_u11014), skolem185(_u11016, _u11015, _u11014)), _u11016)) )).
% 13.05/13.26 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11014, _u11014)), _u11015), c_Relation_OId__on(_u11014, _u11016))) | ( _u11015 = hAPP(hAPP(c_Product__Type_OPair(_u11014, _u11014), skolem185(_u11016, _u11015, _u11014)), skolem185(_u11016, _u11015, _u11014))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11018), _u11022)) | ( hAPP(hAPP(_u11021, _u11023), _u11022) = _u11020) | ~c_Big__Operators_Ocomm__monoid__big(_u11017, _u11018, _u11019, _u11020, _u11021) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11026) | ( hAPP(_u11027, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11026), skolem186(_u11028, _u11027, _u11026)), skolem187(_u11028, _u11027, _u11026))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11026), hAPP(_u11027, skolem186(_u11028, _u11027, _u11026))), hAPP(_u11027, skolem187(_u11028, _u11027, _u11026)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11026), _u11028)) | ( _u11028 = c_Orderings_Obot__class_Obot(tc_fun(_u11026, tc_HOL_Obool))) | ( hAPP(_u11027, c_Big__Operators_Olattice_OInf__fin(_u11026, c_Orderings_Oord__class_Omin(_u11026), _u11028)) = c_Big__Operators_Olattice_OInf__fin(_u11026, c_Orderings_Oord__class_Omin(_u11026), hAPP(c_Set_Oimage(_u11026, _u11026, _u11027), _u11028))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11031) | ( hAPP(_u11032, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11031), skolem188(_u11033, _u11032, _u11031)), skolem189(_u11033, _u11032, _u11031))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11031), hAPP(_u11032, skolem188(_u11033, _u11032, _u11031))), hAPP(_u11032, skolem189(_u11033, _u11032, _u11031)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11031), _u11033)) | ( _u11033 = c_Orderings_Obot__class_Obot(tc_fun(_u11031, tc_HOL_Obool))) | ( hAPP(_u11032, c_Big__Operators_Olinorder__class_OMax(_u11031, _u11033)) = c_Big__Operators_Olinorder__class_OMax(_u11031, hAPP(c_Set_Oimage(_u11031, _u11031, _u11032), _u11033))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u11036) | ( hAPP(_u11037, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11036), skolem190(_u11038, _u11037, _u11036)), skolem191(_u11038, _u11037, _u11036))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11036), hAPP(_u11037, skolem190(_u11038, _u11037, _u11036))), hAPP(_u11037, skolem191(_u11038, _u11037, _u11036)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11036), _u11038)) | ( _u11038 = c_Orderings_Obot__class_Obot(tc_fun(_u11036, tc_HOL_Obool))) | ( hAPP(_u11037, c_Big__Operators_Olinorder__class_OMin(_u11036, _u11038)) = c_Big__Operators_Olinorder__class_OMin(_u11036, hAPP(c_Set_Oimage(_u11036, _u11036, _u11037), _u11038))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u11041) | ( hAPP(_u11042, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11041), skolem192(_u11043, _u11042, _u11041)), skolem193(_u11043, _u11042, _u11041))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11041), hAPP(_u11042, skolem192(_u11043, _u11042, _u11041))), hAPP(_u11042, skolem193(_u11043, _u11042, _u11041)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11041), _u11043)) | ( _u11043 = c_Orderings_Obot__class_Obot(tc_fun(_u11041, tc_HOL_Obool))) | ( hAPP(_u11042, c_Big__Operators_Olattice__class_OInf__fin(_u11041, _u11043)) = c_Big__Operators_Olattice__class_OInf__fin(_u11041, hAPP(c_Set_Oimage(_u11041, _u11041, _u11042), _u11043))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u11046) | ( hAPP(_u11047, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11046), skolem194(_u11048, _u11047, _u11046)), skolem195(_u11048, _u11047, _u11046))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11046), hAPP(_u11047, skolem194(_u11048, _u11047, _u11046))), hAPP(_u11047, skolem195(_u11048, _u11047, _u11046)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11046), _u11048)) | ( _u11048 = c_Orderings_Obot__class_Obot(tc_fun(_u11046, tc_HOL_Obool))) | ( hAPP(_u11047, c_Big__Operators_Olattice__class_OSup__fin(_u11046, _u11048)) = c_Big__Operators_Olattice__class_OSup__fin(_u11046, hAPP(c_Set_Oimage(_u11046, _u11046, _u11047), _u11048))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11051), _u11052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11051, tc_HOL_Obool)), _u11053), _u11052)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11052) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11053)) | hBOOL(hAPP(hAPP(c_member(_u11051), skolem196(_u11054, _u11053, _u11052, _u11051, _u11050)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11051, tc_HOL_Obool)), _u11052), _u11053))) )).
% 13.05/13.26 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11051), _u11052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11051, tc_HOL_Obool)), _u11053), _u11052)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11052) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11053)) | ( hAPP(_u11054, skolem196(_u11054, _u11053, _u11052, _u11051, _u11050)) != c_Groups_Oone__class_Oone(_u11050)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11057), _u11058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11057, tc_HOL_Obool)), _u11059), _u11058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11059) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11058)) | hBOOL(hAPP(hAPP(c_member(_u11057), skolem197(_u11060, _u11059, _u11058, _u11057, _u11056)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11057, tc_HOL_Obool)), _u11058), _u11059))) )).
% 13.05/13.26 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11057), _u11058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11057, tc_HOL_Obool)), _u11059), _u11058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11059) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11058)) | ( hAPP(_u11060, skolem197(_u11060, _u11059, _u11058, _u11057, _u11056)) != c_Groups_Oone__class_Oone(_u11056)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11061, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11061), _u11062)) = 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(_u11061), _u11062))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), skolem199(_u11067, _u11066, _u11065))) )).
% 13.05/13.26 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u11065), skolem198(_u11067, _u11066, _u11065)), skolem199(_u11067, _u11066, _u11065))) )).
% 13.05/13.26 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | hBOOL(hAPP(_u11067, skolem199(_u11067, _u11066, _u11065))) )).
% 13.05/13.26 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u11067, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11065, tc_HOL_Obool)), skolem199(_u11067, _u11066, _u11065)), hAPP(hAPP(c_Set_Oinsert(_u11065), skolem198(_u11067, _u11066, _u11065)), c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_PowI ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11068, tc_HOL_Obool)), _u11069), _u11070)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11068, tc_HOL_Obool)), _u11069), hAPP(c_Set_OPow(_u11068), _u11070))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11071, tc_HOL_Obool)), _u11072), hAPP(c_Set_OPow(_u11071), _u11072))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u11073, _u11074, _u11075), _u11076) != _u11077) | ( hAPP(c_Set_Oimage(tc_fun(_u11073, tc_HOL_Obool), tc_fun(_u11074, tc_HOL_Obool), c_Set_Oimage(_u11073, _u11074, _u11075)), hAPP(c_Set_OPow(_u11073), _u11076)) = hAPP(c_Set_OPow(_u11074), _u11077)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11078, tc_HOL_Obool)), _u11079), _u11080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11078, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11078), _u11079)), hAPP(c_Set_OPow(_u11078), _u11080))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11081, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11081, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11081), _u11082)), hAPP(c_Set_OPow(_u11081), _u11083))), hAPP(c_Set_OPow(_u11081), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11081, tc_HOL_Obool)), _u11082), _u11083)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u11084), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11084, tc_HOL_Obool)), _u11085), _u11086)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u11084, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11084), _u11085)), hAPP(c_Set_OPow(_u11084), _u11086))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u11087), hAPP(hAPP(c_Set_Oinsert(_u11087), _u11088), _u11089)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11087, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11087), _u11089)), hAPP(c_Set_Oimage(tc_fun(_u11087, tc_HOL_Obool), tc_fun(_u11087, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u11087), _u11088)), hAPP(c_Set_OPow(_u11087), _u11089)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11092, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11092), _u11094))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11092), _u11094)) )).
% 13.05/13.26 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11095)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11093, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11093), _u11095))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u11096), _u11097) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11096, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11098, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11098, tc_HOL_Obool))), hAPP(c_Set_OPow(_u11098), _u11099))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11100, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11101, _u11100, _u11102), _u11103)), _u11104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11100, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11101, tc_HOL_Obool), tc_fun(_u11100, tc_HOL_Obool), c_Set_Oimage(_u11101, _u11100, _u11102)), hAPP(c_Set_OPow(_u11101), _u11103))), hAPP(c_Set_OPow(_u11100), _u11104))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_PowD ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11105, tc_HOL_Obool)), _u11106), hAPP(c_Set_OPow(_u11105), _u11107))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11105, tc_HOL_Obool)), _u11106), _u11107)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11111, tc_HOL_Obool)), _u11113), hAPP(c_Set_OPow(_u11111), _u11115))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11111, tc_HOL_Obool)), _u11113), _u11115)) )).
% 13.05/13.26 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11112, tc_HOL_Obool)), _u11114), _u11116)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11112, tc_HOL_Obool)), _u11114), hAPP(c_Set_OPow(_u11112), _u11116))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11117, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11118, tc_fun(tc_fun(_u11117, tc_HOL_Obool), tc_HOL_Obool)), _u11119), hAPP(hAPP(c_COMBB(tc_fun(_u11117, tc_HOL_Obool), tc_fun(tc_fun(_u11117, tc_HOL_Obool), tc_HOL_Obool), _u11118), c_Set_OPow(_u11117)), _u11120))), hAPP(c_Set_OPow(_u11117), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11118, tc_fun(_u11117, tc_HOL_Obool)), _u11119), _u11120)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u11121), c_Orderings_Obot__class_Obot(tc_fun(_u11121, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11121, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11121, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11121, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u11125, hAPP(hAPP(c_COMBC(_u11125, tc_fun(_u11125, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11125)), _u11127)), _u11129)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11125, tc_HOL_Obool)), _u11129), hAPP(c_Set_OPow(_u11125), _u11127))) )).
% 13.05/13.26 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11126, tc_HOL_Obool)), _u11130), hAPP(c_Set_OPow(_u11126), _u11128))) | hBOOL(hAPP(c_Predicate_OPowp(_u11126, hAPP(hAPP(c_COMBC(_u11126, tc_fun(_u11126, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11126)), _u11128)), _u11130)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11131), _u11132)) | ~c_Fun_Oinj__on(_u11131, tc_fun(tc_fun(_u11131, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11131, tc_fun(tc_prod(_u11131, _u11131), tc_HOL_Obool), tc_fun(tc_fun(_u11131, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11131, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11131, _u11131), tc_HOL_Obool), tc_fun(tc_fun(_u11131, tc_HOL_Obool), tc_HOL_Obool)), _u11131), c_Equiv__Relations_Oquotient(_u11131)), hAPP(hAPP(c_COMBC(_u11131, tc_fun(_u11131, tc_HOL_Obool), tc_fun(_u11131, tc_HOL_Obool)), c_Set_Oinsert(_u11131)), c_Orderings_Obot__class_Obot(tc_fun(_u11131, tc_HOL_Obool))))), _u11133), _u11132) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11131, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11131), _u11132), _u11133)) = hAPP(c_Finite__Set_Ocard(_u11131), _u11132)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u11134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11134), _u11135), _u11136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11134), _u11136), _u11137)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11134, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11134, _u11135, _u11136)), c_SetInterval_Oord__class_OatLeastAtMost(_u11134, _u11136, _u11137)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11134, _u11135, _u11137)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11138, _u11139))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11140, _u11141))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 13.05/13.26 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, _u11142, _u11143)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11142), hAPP(c_Nat_OSuc, _u11143))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11144, _u11145) = 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), _u11144), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11145)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11146)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11147, _u11148)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11147), _u11146), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11148), _u11146))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11149), hAPP(c_Set_Oimage(_u11150, _u11149, _u11151), _u11152))) | ~c_Fun_Oinj__on(_u11150, _u11149, _u11151, _u11152) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11150), _u11152)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__image ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u11153, _u11154, _u11155, _u11156) | ( hAPP(c_Finite__Set_Ocard(_u11154), hAPP(c_Set_Oimage(_u11153, _u11154, _u11155), _u11156)) = hAPP(c_Finite__Set_Ocard(_u11153), _u11156)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11157) | ~c_Nat__Transfer_Ois__nat(_u11158) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11157, _u11158) = 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, _u11157), hAPP(c_Int_Onat, _u11158)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11159) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11159, _u11160)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u11161) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11161, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u11161, _u11162, _u11163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11161), _u11162), _u11163)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u11161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11161), _u11162), _u11163)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11161, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11161, _u11162, _u11163)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u11164) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11164, _u11165, _u11166) != c_Orderings_Obot__class_Obot(tc_fun(_u11164, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11164), _u11165), _u11166)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u11164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11164), _u11165), _u11166)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11164, _u11165, _u11166) = c_Orderings_Obot__class_Obot(tc_fun(_u11164, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u11167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11167), _u11168), _u11169)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11167, _u11169, _u11168) = c_Orderings_Obot__class_Obot(tc_fun(_u11167, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11171), _u11172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11173), _u11171)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11171), _u11172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11172), _u11174)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u11170) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11171), _u11172)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u11170) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11173), _u11171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11172), _u11174)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u11175) | ( _u11176 != _u11177) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11175, _u11176, _u11177) = hAPP(hAPP(c_Set_Oinsert(_u11175), _u11176), c_Orderings_Obot__class_Obot(tc_fun(_u11175, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u11178) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11178, _u11179, _u11180) != hAPP(hAPP(c_Set_Oinsert(_u11178), _u11181), c_Orderings_Obot__class_Obot(tc_fun(_u11178, tc_HOL_Obool)))) | ( _u11179 = _u11180) )).
% 13.05/13.26 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u11178) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11178, _u11179, _u11180) != hAPP(hAPP(c_Set_Oinsert(_u11178), _u11181), c_Orderings_Obot__class_Obot(tc_fun(_u11178, tc_HOL_Obool)))) | ( _u11180 = _u11181) )).
% 13.05/13.26 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u11178) | ( _u11179 != _u11180) | ( _u11180 != _u11181) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11178, _u11179, _u11180) = hAPP(hAPP(c_Set_Oinsert(_u11178), _u11181), c_Orderings_Obot__class_Obot(tc_fun(_u11178, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u11182) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11182, _u11183, _u11183) = hAPP(hAPP(c_Set_Oinsert(_u11182), _u11183), c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11184) | ( hAPP(c_Set_Oimage(_u11184, _u11184, c_Groups_Ouminus__class_Ouminus(_u11184)), c_SetInterval_Oord__class_OatLeastAtMost(_u11184, _u11185, _u11186)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11184, hAPP(c_Groups_Ouminus__class_Ouminus(_u11184), _u11186), hAPP(c_Groups_Ouminus__class_Ouminus(_u11184), _u11185))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11187), _u11188) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11187, _u11188)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11189), _u11190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11189, tc_HOL_Obool)), _u11190), hAPP(c_Set_Oimage(_u11189, _u11189, _u11191), _u11190))) | c_Fun_Oinj__on(_u11189, _u11189, _u11191, _u11190) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11192), _u11193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11192, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11192, _u11192, _u11194), _u11193)), _u11193)) | ~c_Fun_Oinj__on(_u11192, _u11192, _u11194, _u11193) | ( hAPP(c_Set_Oimage(_u11192, _u11192, _u11194), _u11193) = _u11193) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11195), _u11196)) | ( hAPP(c_Finite__Set_Ocard(_u11197), hAPP(c_Set_Oimage(_u11195, _u11197, _u11198), _u11196)) != hAPP(c_Finite__Set_Ocard(_u11195), _u11196)) | c_Fun_Oinj__on(_u11195, _u11197, _u11198, _u11196) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11199), _u11200)) | ~c_Fun_Oinj__on(_u11199, _u11201, _u11202, _u11200) | ( hAPP(c_Finite__Set_Ocard(_u11201), hAPP(c_Set_Oimage(_u11199, _u11201, _u11202), _u11200)) = hAPP(c_Finite__Set_Ocard(_u11199), _u11200)) )).
% 13.05/13.26 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11199), _u11200)) | ( hAPP(c_Finite__Set_Ocard(_u11201), hAPP(c_Set_Oimage(_u11199, _u11201, _u11202), _u11200)) != hAPP(c_Finite__Set_Ocard(_u11199), _u11200)) | c_Fun_Oinj__on(_u11199, _u11201, _u11202, _u11200) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11203), hAPP(c_Set_Oimage(_u11204, _u11203, _u11205), _u11206))), hAPP(c_Finite__Set_Ocard(_u11204), _u11206))) | ~c_Fun_Oinj__on(_u11204, _u11203, _u11205, _u11206) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11207)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11207, _u11208)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11209, _u11210)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11210)), _u11209)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11211), hAPP(c_Nat_OSuc, _u11212))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11211, hAPP(c_Nat_OSuc, _u11212)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11212)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11211, _u11212))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11213, tc_HOL_Obool)), _u11214), _u11215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11213, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u11213, _u11214)), c_Predicate_OPowp(_u11213, _u11215))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 13.05/13.26 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), _u11216), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11217) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u11216, _u11217)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11218, _u11219, _u11220, _u11221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11218, _u11219, _u11220), _u11221)), _u11222)) | ~c_Fun_Oinj__on(_u11219, _u11218, _u11223, _u11222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11218, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11219, _u11218, _u11223), _u11222)), _u11221)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11218), _u11221)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11219), _u11222)) | ( hAPP(c_Finite__Set_Ocard(_u11218), _u11221) = hAPP(c_Finite__Set_Ocard(_u11219), _u11222)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u11224) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11224, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11224, _u11225, _u11226)), c_SetInterval_Oord__class_OatLeastAtMost(_u11224, _u11227, _u11228)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11224, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11224), _u11225), _u11227), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11224), _u11226), _u11228))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11230)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11231), _u11233)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11232), _u11230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11231), _u11233)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u11229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u11229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11231), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11232), _u11230)) )).
% 13.05/13.26 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u11229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11231), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11231), _u11233)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u11234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11235), _u11236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11236), _u11237)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11234, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11234, _u11235, _u11236)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11234, _u11236, _u11237)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11234, _u11235, _u11237)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u11238) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11238, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11238, _u11239, _u11240)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11238, _u11240, _u11241)) = c_Orderings_Obot__class_Obot(tc_fun(_u11238, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u11242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11242, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11242, _u11243, _u11244)), c_SetInterval_Oord__class_OatLeastAtMost(_u11242, _u11244, _u11245)) = c_Orderings_Obot__class_Obot(tc_fun(_u11242, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u11246) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11246, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11246, _u11247, _u11248)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11246, _u11248, _u11249)) = c_Orderings_Obot__class_Obot(tc_fun(_u11246, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11252), _u11254)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11254, _u11252) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11253), _u11255)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11255, _u11253) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u11255), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11255), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11253))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u11256, _u11257, _u11258, _u11259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11257, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11256, _u11257, _u11258), _u11259)), _u11260)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11257), _u11260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11256), _u11259)), hAPP(c_Finite__Set_Ocard(_u11257), _u11260))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11265), _u11266)) | ~c_Fun_Oinj__on(_u11263, _u11265, _u11261, _u11264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11263, _u11265, _u11261), _u11264)), _u11266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11263), _u11264)), hAPP(c_Finite__Set_Ocard(_u11265), _u11266))) )).
% 13.05/13.26 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11265), _u11266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11263), _u11264)), hAPP(c_Finite__Set_Ocard(_u11265), _u11266))) | c_Fun_Oinj__on(_u11263, _u11265, skolem200(_u11266, _u11265, _u11264, _u11263), _u11264) )).
% 13.05/13.26 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11265), _u11266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11263), _u11264)), hAPP(c_Finite__Set_Ocard(_u11265), _u11266))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11263, _u11265, skolem200(_u11266, _u11265, _u11264, _u11263)), _u11264)), _u11266)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u11267, tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11267, tc_fun(tc_prod(_u11267, _u11267), tc_HOL_Obool), tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11267, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11267, _u11267), tc_HOL_Obool), tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool)), _u11267), c_Equiv__Relations_Oquotient(_u11267)), hAPP(hAPP(c_COMBC(_u11267, tc_fun(_u11267, tc_HOL_Obool), tc_fun(_u11267, tc_HOL_Obool)), c_Set_Oinsert(_u11267)), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))), _u11268), _u11269) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11270), _u11269)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11267), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11267, tc_HOL_Obool)), _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))), _u11268) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11267), _u11269), _u11268)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11267), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool)))), _u11268))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11271, _u11272)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11272), _u11271)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u11273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11273), _u11274), _u11275)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11273, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11273), _u11274), c_Orderings_Obot__class_Obot(tc_fun(_u11273, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11273, _u11274, _u11275)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11273, _u11274, _u11275)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u11281, _u11283, _u11285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289)) | c_Fun_Oinj__on(_u11281, _u11283, _u11285, _u11287) )).
% 13.05/13.26 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u11281, _u11283, _u11285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289)) | c_Fun_Oinj__on(_u11281, _u11283, _u11285, _u11289) )).
% 13.05/13.26 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u11281, _u11283, _u11285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11281, _u11283, _u11285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289))), hAPP(c_Set_Oimage(_u11281, _u11283, _u11285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11281, tc_HOL_Obool)), _u11289), _u11287))) = c_Orderings_Obot__class_Obot(tc_fun(_u11283, tc_HOL_Obool))) )).
% 13.05/13.26 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u11282, _u11284, _u11286, _u11288) | ~c_Fun_Oinj__on(_u11282, _u11284, _u11286, _u11290) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11284, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11282, _u11284, _u11286), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11282, tc_HOL_Obool)), _u11288), _u11290))), hAPP(c_Set_Oimage(_u11282, _u11284, _u11286), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11282, tc_HOL_Obool)), _u11290), _u11288))) != c_Orderings_Obot__class_Obot(tc_fun(_u11284, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11282, _u11284, _u11286, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11282, tc_HOL_Obool)), _u11288), _u11290)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u11296, _u11298, _u11300, hAPP(hAPP(c_Set_Oinsert(_u11296), _u11302), _u11304)) | c_Fun_Oinj__on(_u11296, _u11298, _u11300, _u11304) )).
% 13.05/13.26 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u11296, _u11298, _u11300, hAPP(hAPP(c_Set_Oinsert(_u11296), _u11302), _u11304)) | ~hBOOL(hAPP(hAPP(c_member(_u11298), hAPP(_u11300, _u11302)), hAPP(c_Set_Oimage(_u11296, _u11298, _u11300), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11296, tc_HOL_Obool)), _u11304), hAPP(hAPP(c_Set_Oinsert(_u11296), _u11302), c_Orderings_Obot__class_Obot(tc_fun(_u11296, tc_HOL_Obool))))))) )).
% 13.05/13.26 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u11297, _u11299, _u11301, _u11305) | hBOOL(hAPP(hAPP(c_member(_u11299), hAPP(_u11301, _u11303)), hAPP(c_Set_Oimage(_u11297, _u11299, _u11301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11297, tc_HOL_Obool)), _u11305), hAPP(hAPP(c_Set_Oinsert(_u11297), _u11303), c_Orderings_Obot__class_Obot(tc_fun(_u11297, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u11297, _u11299, _u11301, hAPP(hAPP(c_Set_Oinsert(_u11297), _u11303), _u11305)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11306) | c_Fun_Oinj__on(_u11306, _u11306, c_Groups_Ouminus__class_Ouminus(_u11306), _u11307) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u11308, _u11309, _u11310, c_Orderings_Obot__class_Obot(tc_fun(_u11308, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u11311) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__Some ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__Some-1, axiom, ( c_Fun_Oinj__on(_u11312, tc_Option_Ooption(_u11312), c_Option_Ooption_OSome(_u11312), _u11313) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11314), _u11315) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u11316, _u11317), tc_prod(_u11317, _u11316), hAPP(c_Product__Type_Oprod_Oprod__case(_u11316, _u11317, tc_prod(_u11317, _u11316)), hAPP(c_COMBC(_u11317, _u11316, tc_prod(_u11317, _u11316)), c_Product__Type_OPair(_u11317, _u11316))), _u11318) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u11327, _u11329, _u11331, _u11333) | ~hBOOL(hAPP(hAPP(c_member(_u11327), _u11320), _u11333)) | ~hBOOL(hAPP(hAPP(c_member(_u11327), _u11319), _u11333)) | ( hAPP(_u11331, _u11320) != hAPP(_u11331, _u11319)) | ( _u11320 = _u11319) )).
% 13.05/13.26 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | hBOOL(hAPP(hAPP(c_member(_u11328), skolem201(_u11334, _u11332, _u11330, _u11328)), _u11334)) )).
% 13.05/13.26 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | hBOOL(hAPP(hAPP(c_member(_u11328), skolem202(_u11334, _u11332, _u11330, _u11328)), _u11334)) )).
% 13.05/13.26 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | ( hAPP(_u11332, skolem201(_u11334, _u11332, _u11330, _u11328)) = hAPP(_u11332, skolem202(_u11334, _u11332, _u11330, _u11328))) )).
% 13.05/13.26 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | ( skolem201(_u11334, _u11332, _u11330, _u11328) != skolem202(_u11334, _u11332, _u11330, _u11328)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u11335, _u11335, c_COMBI(_u11335)), _u11336) = _u11336) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u11337, _u11337, c_COMBI(_u11337), _u11338) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u11339, _u11340, _u11341, _u11342) | ( hAPP(_u11341, _u11343) != hAPP(_u11341, _u11344)) | ~hBOOL(hAPP(hAPP(c_member(_u11339), _u11343), _u11342)) | ~hBOOL(hAPP(hAPP(c_member(_u11339), _u11344), _u11342)) | ( _u11343 = _u11344) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11345, _u11346, _u11347, _u11348) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11349), _u11348)) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11350), _u11348)) | ( hAPP(_u11347, _u11349) != hAPP(_u11347, _u11350)) | ( _u11349 = _u11350) )).
% 13.05/13.26 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11345, _u11346, _u11347, _u11348) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11349), _u11348)) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11350), _u11348)) | ( _u11349 != _u11350) | ( hAPP(_u11347, _u11349) = hAPP(_u11347, _u11350)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u11351, _u11352, _u11353, _u11354) | ( _u11355 = _u11356) | ~hBOOL(hAPP(hAPP(c_member(_u11351), _u11355), _u11354)) | ~hBOOL(hAPP(hAPP(c_member(_u11351), _u11356), _u11354)) | ( hAPP(_u11353, _u11355) != hAPP(_u11353, _u11356)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u11357, _u11358, _u11359, _u11360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11357, tc_HOL_Obool)), _u11361), _u11360)) | c_Fun_Oinj__on(_u11357, _u11358, _u11359, _u11361) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11362, _u11363, _u11364, _u11365) | ~c_Fun_Oinj__on(_u11362, _u11363, _u11364, _u11366) | c_Fun_Oinj__on(_u11362, _u11363, _u11364, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11362, tc_HOL_Obool)), _u11365), _u11366)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11367, _u11368, _u11369, _u11370) | c_Fun_Oinj__on(_u11367, _u11368, _u11369, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11367, tc_HOL_Obool)), _u11370), _u11371)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u11373, tc_fun(_u11373, tc_HOL_Obool), _u11372), _u11374) != hAPP(c_Set_OPow(_u11373), _u11374)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11375, _u11376, _u11377, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11375, tc_HOL_Obool)), _u11378), _u11379)) | ( hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11378) != hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11379)) | ( _u11378 = _u11379) )).
% 13.05/13.26 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11375, _u11376, _u11377, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11375, tc_HOL_Obool)), _u11378), _u11379)) | ( _u11378 != _u11379) | ( hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11378) = hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11379)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u11380, _u11381, _u11382, _u11383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11380, tc_HOL_Obool)), _u11384), _u11383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11381, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11380, _u11381, _u11382), _u11384)), hAPP(c_Set_Oimage(_u11380, _u11381, _u11382), _u11383))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11385, _u11386, _u11387, _u11388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11385, tc_HOL_Obool)), _u11389), _u11388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11385, tc_HOL_Obool)), _u11390), _u11388)) | ( hAPP(c_Set_Oimage(_u11385, _u11386, _u11387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11385, tc_HOL_Obool)), _u11389), _u11390)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11386, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11385, _u11386, _u11387), _u11389)), hAPP(c_Set_Oimage(_u11385, _u11386, _u11387), _u11390))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11391, _u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11391, tc_HOL_Obool)), _u11395), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11391, tc_HOL_Obool)), _u11396), _u11394)) | ( hAPP(c_Set_Oimage(_u11391, _u11392, _u11393), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11391, tc_HOL_Obool)), _u11395), _u11396)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11392, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11391, _u11392, _u11393), _u11395)), hAPP(c_Set_Oimage(_u11391, _u11392, _u11393), _u11396))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u11401 = c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11402, _u11403, _u11397, _u11401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11403, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11402, _u11403, _u11397), _u11401)), _u11404)) | ( hAPP(c_Set_Oimage(_u11403, _u11402, skolem203(_u11404, _u11403, _u11402, _u11401)), _u11404) = _u11401) )).
% 13.05/13.26 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u11401 = c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11403, _u11402, _u11399), _u11404) != _u11401) | c_Fun_Oinj__on(_u11402, _u11403, skolem204(_u11404, _u11403, _u11402, _u11401), _u11401) )).
% 13.05/13.26 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u11401 = c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11403, _u11402, _u11399), _u11404) != _u11401) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11403, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11402, _u11403, skolem204(_u11404, _u11403, _u11402, _u11401)), _u11401)), _u11404)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11406), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11411))) | hBOOL(hAPP(_u11413, _u11406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem205(_u11413, _u11411)), _u11411)) )).
% 13.05/13.26 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11406), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11411))) | hBOOL(hAPP(_u11413, _u11406)) | ~hBOOL(hAPP(_u11413, skolem205(_u11413, _u11411))) )).
% 13.05/13.26 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11408), _u11412)) | hBOOL(hAPP(_u11414, _u11408)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem206(_u11414, _u11412)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11412))) )).
% 13.05/13.26 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11408), _u11412)) | hBOOL(hAPP(_u11414, _u11408)) | ~hBOOL(hAPP(_u11414, skolem206(_u11414, _u11412))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11415), _u11421)) | ~hBOOL(hAPP(_u11423, _u11415)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem207(_u11423, _u11421)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11421))) )).
% 13.05/13.26 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11415), _u11421)) | ~hBOOL(hAPP(_u11423, _u11415)) | hBOOL(hAPP(_u11423, skolem207(_u11423, _u11421))) )).
% 13.05/13.26 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11417), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11422))) | ~hBOOL(hAPP(_u11424, _u11417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem208(_u11424, _u11422)), _u11422)) )).
% 13.05/13.26 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11417), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11422))) | ~hBOOL(hAPP(_u11424, _u11417)) | hBOOL(hAPP(_u11424, skolem208(_u11424, _u11422))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11428)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11429), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11427), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11427), _u11428)), _u11429)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem209(_u11430, _u11429, _u11428, _u11427)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11428))) )).
% 13.05/13.26 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)), _u11428)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11429), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11427), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11427), _u11428)), _u11429)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem210(_u11430, _u11429, _u11428, _u11427)), _u11430)) )).
% 13.05/13.26 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)), _u11428)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11429), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11427), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11427), _u11428)), _u11429)) | ( _u11427 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem210(_u11430, _u11429, _u11428, _u11427)), skolem209(_u11430, _u11429, _u11428, _u11427))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11435), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), _u11433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11433), _u11434))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u11436, _u11435, _u11434, _u11433)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11434))) )).
% 13.05/13.26 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)), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11435), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), _u11433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11433), _u11434))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem212(_u11436, _u11435, _u11434, _u11433)), _u11436)) )).
% 13.05/13.26 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)), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11435), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), _u11433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11433), _u11434))) | ( _u11433 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem212(_u11436, _u11435, _u11434, _u11433)), skolem211(_u11436, _u11435, _u11434, _u11433))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11439)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11441)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), _u11439) = _u11440) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u11441, _u11440, _u11439)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11439))) )).
% 13.05/13.26 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)), _u11439)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11441)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), _u11439) = _u11440) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u11441, _u11440, _u11439)), _u11441)) )).
% 13.05/13.26 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)), _u11439)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11441)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), _u11439) = _u11440) | ( _u11440 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem214(_u11441, _u11440, _u11439)), skolem213(_u11441, _u11440, _u11439))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11445)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11446), _u11447)) | ( _u11444 = _u11446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11444), _u11445) != _u11446) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u11447, _u11446, _u11445, _u11444)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11445))) )).
% 13.05/13.26 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)), _u11445)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11446), _u11447)) | ( _u11444 = _u11446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11444), _u11445) != _u11446) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u11447, _u11446, _u11445, _u11444)), _u11447)) )).
% 13.05/13.26 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)), _u11445)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11446), _u11447)) | ( _u11444 = _u11446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11444), _u11445) != _u11446) | ( _u11444 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem216(_u11447, _u11446, _u11445, _u11444)), skolem215(_u11447, _u11446, _u11445, _u11444))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11451)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11452), _u11453)) | ( _u11450 = _u11452) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11450), _u11451) != _u11452) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem217(_u11453, _u11452, _u11451, _u11450)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11451))) )).
% 13.05/13.26 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)), _u11451)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11452), _u11453)) | ( _u11450 = _u11452) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11450), _u11451) != _u11452) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem218(_u11453, _u11452, _u11451, _u11450)), _u11453)) )).
% 13.05/13.26 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)), _u11451)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11452), _u11453)) | ( _u11450 = _u11452) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11450), _u11451) != _u11452) | ( _u11450 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem218(_u11453, _u11452, _u11451, _u11450)), skolem217(_u11453, _u11452, _u11451, _u11450))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11457)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11458), _u11459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), _u11456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11456), _u11457))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u11459, _u11458, _u11457, _u11456)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11457))) )).
% 13.05/13.26 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)), _u11457)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11458), _u11459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), _u11456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11456), _u11457))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem220(_u11459, _u11458, _u11457, _u11456)), _u11459)) )).
% 13.05/13.26 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)), _u11457)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11458), _u11459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), _u11456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11456), _u11457))) | ( _u11456 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem220(_u11459, _u11458, _u11457, _u11456)), skolem219(_u11459, _u11458, _u11457, _u11456))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), _u11462) = _u11463) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u11464, _u11463, _u11462)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11462))) )).
% 13.05/13.26 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)), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), _u11462) = _u11463) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u11464, _u11463, _u11462)), _u11464)) )).
% 13.05/13.26 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)), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), _u11462) = _u11463) | ( _u11463 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem222(_u11464, _u11463, _u11462)), skolem221(_u11464, _u11463, _u11462))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11469), _u11470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11467), _u11469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11467), _u11468)), _u11469)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u11470, _u11469, _u11468, _u11467)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11468))) )).
% 13.05/13.26 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)), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11469), _u11470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11467), _u11469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11467), _u11468)), _u11469)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u11470, _u11469, _u11468, _u11467)), _u11470)) )).
% 13.05/13.26 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)), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11469), _u11470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11467), _u11469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11467), _u11468)), _u11469)) | ( _u11467 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem224(_u11470, _u11469, _u11468, _u11467)), skolem223(_u11470, _u11469, _u11468, _u11467))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11473), _u11476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11473), _u11474)), _u11476)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem225(_u11476, _u11475, _u11474, _u11473)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11474))) )).
% 13.05/13.26 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)), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11473), _u11476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11473), _u11474)), _u11476)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem226(_u11476, _u11475, _u11474, _u11473)), _u11475)) )).
% 13.05/13.26 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)), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11473), _u11476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11473), _u11474)), _u11476)) | ( _u11473 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem226(_u11476, _u11475, _u11474, _u11473)), skolem225(_u11476, _u11475, _u11474, _u11473))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), _u11479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11479), _u11480))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem227(_u11482, _u11481, _u11480, _u11479)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11480))) )).
% 13.05/13.26 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)), _u11480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), _u11479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11479), _u11480))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem228(_u11482, _u11481, _u11480, _u11479)), _u11481)) )).
% 13.05/13.26 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)), _u11480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), _u11479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11479), _u11480))) | ( _u11479 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem228(_u11482, _u11481, _u11480, _u11479)), skolem227(_u11482, _u11481, _u11480, _u11479))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.05/13.26 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)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11497), _u11500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11497), _u11498)), _u11500)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem235(_u11500, _u11499, _u11498, _u11497)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11498))) )).
% 13.05/13.26 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)), _u11498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11497), _u11500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11497), _u11498)), _u11500)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u11500, _u11499, _u11498, _u11497)), _u11499)) )).
% 13.05/13.26 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)), _u11498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11497), _u11500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11497), _u11498)), _u11500)) | ( _u11497 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem236(_u11500, _u11499, _u11498, _u11497)), skolem235(_u11500, _u11499, _u11498, _u11497))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 13.05/13.26 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)), _u11504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), _u11503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11503), _u11504))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem237(_u11506, _u11505, _u11504, _u11503)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11504))) )).
% 13.05/13.26 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)), _u11504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), _u11503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11503), _u11504))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u11506, _u11505, _u11504, _u11503)), _u11505)) )).
% 13.05/13.26 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)), _u11504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), _u11503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11503), _u11504))) | ( _u11503 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem238(_u11506, _u11505, _u11504, _u11503)), skolem237(_u11506, _u11505, _u11504, _u11503))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11510), _u11512)) | ( 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)), _u11510)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11514), _u11512)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11514), _u11510)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11512), _u11510))) )).
% 13.05/13.26 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11511), _u11513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11515), _u11513)) | ( 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)), _u11511)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11515), _u11513)) = 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)))) )).
% 13.05/13.26 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11511), _u11513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11515), _u11513)) | ( 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)), _u11511)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11515), _u11513)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_bset_I9_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_bset_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), _u11520)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11518), _u11522))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11518), _u11520)), _u11522))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem239(_u11522, _u11521, _u11520, _u11519, _u11518)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11520))) )).
% 13.05/13.26 cnf(fact_bset_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), _u11520)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11518), _u11522))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11518), _u11520)), _u11522))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem240(_u11522, _u11521, _u11520, _u11519, _u11518)), _u11521)) )).
% 13.05/13.26 cnf(fact_bset_I9_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), _u11520)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11518), _u11522))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11518), _u11520)), _u11522))) | ( _u11518 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem240(_u11522, _u11521, _u11520, _u11519, _u11518)), skolem239(_u11522, _u11521, _u11520, _u11519, _u11518))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11523), _u11524))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11526), _u11527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11528), _u11529)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11526), _u11527) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11528), _u11529)) | ( _u11526 = _u11528) )).
% 13.05/13.26 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11526), _u11527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11528), _u11529)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11526), _u11527) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11528), _u11529)) | ( _u11527 = _u11529) )).
% 13.05/13.26 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11526), _u11527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11528), _u11529)) | ( _u11526 != _u11528) | ( _u11527 != _u11529) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11526), _u11527) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11528), _u11529)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u11530) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11530, _u11531), _u11532) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11530, _u11533), _u11534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11530), _u11531), _u11532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11530), _u11533), _u11534)) | ( _u11531 = _u11533) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u11535) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11535, _u11536), _u11537) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11535, _u11538), _u11539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11535), _u11536), _u11537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11535), _u11538), _u11539)) | ( _u11537 = _u11539) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11541), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11546))) | hBOOL(hAPP(_u11548, _u11541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem241(_u11548, _u11546)), _u11546)) )).
% 13.05/13.26 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11541), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11546))) | hBOOL(hAPP(_u11548, _u11541)) | ~hBOOL(hAPP(_u11548, skolem241(_u11548, _u11546))) )).
% 13.05/13.26 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11543), _u11547)) | hBOOL(hAPP(_u11549, _u11543)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem242(_u11549, _u11547)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11547))) )).
% 13.05/13.26 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11543), _u11547)) | hBOOL(hAPP(_u11549, _u11543)) | ~hBOOL(hAPP(_u11549, skolem242(_u11549, _u11547))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11550), _u11556)) | ~hBOOL(hAPP(_u11558, _u11550)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem243(_u11558, _u11556)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11556))) )).
% 13.05/13.26 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11550), _u11556)) | ~hBOOL(hAPP(_u11558, _u11550)) | hBOOL(hAPP(_u11558, skolem243(_u11558, _u11556))) )).
% 13.05/13.26 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11552), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11557))) | ~hBOOL(hAPP(_u11559, _u11552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem244(_u11559, _u11557)), _u11557)) )).
% 13.05/13.26 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11552), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11557))) | ~hBOOL(hAPP(_u11559, _u11552)) | hBOOL(hAPP(_u11559, skolem244(_u11559, _u11557))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11560), hAPP(c_Nat_OSuc, _u11561)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11560, _u11561)) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11562), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.26
% 13.05/13.26 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 13.05/13.26 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11563), _u11564)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11564), _u11563)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 13.05/13.27 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, _u11565), _u11566)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11565)), hAPP(c_Nat_OSuc, _u11566))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u11567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11567), _u11568), _u11569)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11567, _u11569), _u11568) = c_Orderings_Obot__class_Obot(tc_fun(_u11567, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u11570) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11570, _u11571), _u11572) != c_Orderings_Obot__class_Obot(tc_fun(_u11570, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11570), _u11571), _u11572)) )).
% 13.05/13.27 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u11570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11570), _u11571), _u11572)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11570, _u11571), _u11572) = c_Orderings_Obot__class_Obot(tc_fun(_u11570, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u11573) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11573, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11573, _u11574), _u11575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11573), _u11574), _u11575)) )).
% 13.05/13.27 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u11573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11573), _u11574), _u11575)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11573, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11573, _u11574), _u11575)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11576, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11577), _u11578)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11579), _u11580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11578), _u11577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11579), _u11577)) )).
% 13.05/13.27 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11576, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11577), _u11578)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11579), _u11580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11578), _u11577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11578), _u11580)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u11581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11581), _u11582), _u11583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11581), _u11583), _u11584)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11581, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11581, _u11582), _u11583)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11581, _u11583), _u11584)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11581, _u11582), _u11584)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u11585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11585), _u11586), _u11587)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11585, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11585, _u11586), _u11588)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11585, _u11586), _u11587)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11585, _u11587), _u11588)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u11589) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11589, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11589, _u11590), _u11591)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11589, _u11591), _u11592)) = c_Orderings_Obot__class_Obot(tc_fun(_u11589, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11593)), _u11594) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u11593, _u11594)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u11595)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11596), _u11597)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11596), _u11595)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11597), _u11595))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11598), hAPP(c_Nat_OSuc, _u11598)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11598), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u11599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11599), _u11600), _u11601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11599), _u11601), _u11602)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11599, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11599, _u11600), _u11601)), c_SetInterval_Oord__class_OatLeastAtMost(_u11599, _u11601, _u11602)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11599, _u11600, _u11602)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11603), _u11604)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11604), _u11605)) = 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, _u11603), _u11604)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11604), _u11605)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u11606) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11606, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11606, _u11607), _u11608)), c_SetInterval_Oord__class_OatLeastAtMost(_u11606, _u11608, _u11609)) = c_Orderings_Obot__class_Obot(tc_fun(_u11606, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u11610) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11610, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11610, _u11611), _u11612)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11610, _u11613), _u11614)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11610, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11610), _u11611), _u11613)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11610), _u11612), _u11614))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u11615), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11616), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11615))))) | ( _u11615 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11616), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11615)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u11617) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11617, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11617, _u11618, _u11619)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11617, _u11619), _u11620)) = c_Orderings_Obot__class_Obot(tc_fun(_u11617, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11621) | ( hAPP(c_Set_Oimage(_u11621, _u11621, c_Groups_Ouminus__class_Ouminus(_u11621)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11621, _u11622, _u11623)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11621, hAPP(c_Groups_Ouminus__class_Ouminus(_u11621), _u11623)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11621), _u11622))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11624) | ( hAPP(c_Set_Oimage(_u11624, _u11624, c_Groups_Ouminus__class_Ouminus(_u11624)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11624, _u11625), _u11626)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11624, hAPP(c_Groups_Ouminus__class_Ouminus(_u11624), _u11626), hAPP(c_Groups_Ouminus__class_Ouminus(_u11624), _u11625))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11629), _u11631)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11629), hAPP(c_Nat_OSuc, _u11631)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11631), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11629), _u11631))) )).
% 13.05/13.27 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11630), _u11632)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11630), hAPP(c_Nat_OSuc, _u11632)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u11633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11633), _u11634), _u11635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11633), _u11635), _u11636)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11633, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11633, _u11634, _u11635)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11633, _u11635), _u11636)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11633, _u11634, _u11636)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u11637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11637), _u11638), _u11639)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11637, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11637, _u11638), _u11639)), hAPP(hAPP(c_Set_Oinsert(_u11637), _u11639), c_Orderings_Obot__class_Obot(tc_fun(_u11637, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u11637, _u11638, _u11639)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u11640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11640), _u11641), _u11642)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11640, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11640), _u11641), c_Orderings_Obot__class_Obot(tc_fun(_u11640, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11640, _u11641, _u11642)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11640, _u11641), _u11642)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u11643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11643), _u11644), _u11645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11643), _u11645), _u11646)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11643, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11643, _u11644, _u11645)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11643, _u11645, _u11646)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11643, _u11644), _u11646)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_aset_I10_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_aset_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), _u11651)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11653))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11651)), _u11653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem245(_u11653, _u11652, _u11651, _u11650, _u11649)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11651))) )).
% 13.05/13.27 cnf(fact_aset_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), _u11651)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11653))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11651)), _u11653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem246(_u11653, _u11652, _u11651, _u11650, _u11649)), _u11652)) )).
% 13.05/13.27 cnf(fact_aset_I10_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), _u11651)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11653))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11651)), _u11653))) | ( _u11649 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem246(_u11653, _u11652, _u11651, _u11650, _u11649)), skolem245(_u11653, _u11652, _u11651, _u11650, _u11649))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_bset_I10_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_bset_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), _u11658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11656), _u11660))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11656), _u11658)), _u11660))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem247(_u11660, _u11659, _u11658, _u11657, _u11656)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11658))) )).
% 13.05/13.27 cnf(fact_bset_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), _u11658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11656), _u11660))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11656), _u11658)), _u11660))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem248(_u11660, _u11659, _u11658, _u11657, _u11656)), _u11659)) )).
% 13.05/13.27 cnf(fact_bset_I10_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), _u11658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11656), _u11660))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11656), _u11658)), _u11660))) | ( _u11656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem248(_u11660, _u11659, _u11658, _u11657, _u11656)), skolem247(_u11660, _u11659, _u11658, _u11657, _u11656))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_aset_I9_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_aset_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), _u11665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11665)), _u11667))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem249(_u11667, _u11666, _u11665, _u11664, _u11663)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11665))) )).
% 13.05/13.27 cnf(fact_aset_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), _u11665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11665)), _u11667))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem250(_u11667, _u11666, _u11665, _u11664, _u11663)), _u11666)) )).
% 13.05/13.27 cnf(fact_aset_I9_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), _u11665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11665)), _u11667))) | ( _u11663 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem250(_u11667, _u11666, _u11665, _u11664, _u11663)), skolem249(_u11667, _u11666, _u11665, _u11664, _u11663))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 13.05/13.27 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, _u11668), _u11669))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u11670))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11671), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11672), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11671, _u11672)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u11673)), 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), _u11674), _u11673))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11673), _u11674)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u11675)) = hAPP(c_Int_Onat, _u11675)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11676), _u11677)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11677), _u11676))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 13.05/13.27 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), _u11678), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11679) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11678, _u11679)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11680) = 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), _u11680)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11687), _u11689), _u11691)) | ( hAPP(c_Set_Oimage(_u11687, _u11693, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11687, _u11693), _u11695), _u11689), _u11697)), _u11691) = hAPP(hAPP(c_Set_Oinsert(_u11693), _u11697), hAPP(c_Set_Oimage(_u11687, _u11693, _u11695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11687, tc_HOL_Obool)), _u11691), hAPP(hAPP(c_Set_Oinsert(_u11687), _u11689), c_Orderings_Obot__class_Obot(tc_fun(_u11687, tc_HOL_Obool))))))) )).
% 13.05/13.27 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11688), _u11690), _u11692)) | ( hAPP(c_Set_Oimage(_u11688, _u11694, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11688, _u11694), _u11696), _u11690), _u11698)), _u11692) = hAPP(c_Set_Oimage(_u11688, _u11694, _u11696), _u11692)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u11699, _u11700, _u11701, _u11702) | ~hBOOL(hAPP(hAPP(c_member(_u11700), _u11703), hAPP(c_Set_Oimage(_u11699, _u11700, _u11701), _u11702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11699, tc_HOL_Obool)), _u11702), _u11704)) | hBOOL(hAPP(hAPP(c_member(_u11699), hAPP(c_Fun_Othe__inv__into(_u11699, _u11700, _u11702, _u11701), _u11703)), _u11704)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__triv-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11705, _u11706), _u11707), _u11708), hAPP(_u11707, _u11708)) = _u11707) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11709))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11710) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11711) != hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11712)) | ( _u11711 = _u11712) )).
% 13.05/13.27 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11710) | ( _u11711 != _u11712) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11711) = hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11712)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u11713, _u11714) != _u11715) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11716, _u11717), _u11713), _u11714), _u11715) = _u11713) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__other-1, axiom, ( ( _u11718 = _u11719) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11720, _u11721), _u11722), _u11719), _u11723), _u11718) = hAPP(_u11722, _u11718)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__twist-1, axiom, ( ( _u11724 = _u11725) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), _u11728), _u11724), _u11729)), _u11725), _u11730) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), _u11728), _u11725), _u11730)), _u11724), _u11729)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__apply-1, axiom, ( ( _u11737 != _u11739) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11741, _u11743), _u11745), _u11739), _u11747), _u11737) = _u11747) )).
% 13.05/13.27 cnf(fact_fun__upd__apply-2, axiom, ( ( _u11738 = _u11740) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11742, _u11744), _u11746), _u11740), _u11748), _u11738) = hAPP(_u11746, _u11738)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11749, _u11750), _u11751), _u11752), _u11753), _u11752) = _u11753) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__upd-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11754, _u11755), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11754, _u11755), _u11756), _u11757), _u11758)), _u11757), _u11759) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11754, _u11755), _u11756), _u11757), _u11759)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u11769, _u11771) = _u11773) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11765, _u11767), _u11769), _u11771), _u11773) != _u11769) )).
% 13.05/13.27 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u11770, _u11772) != _u11774) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11766, _u11768), _u11770), _u11772), _u11774) = _u11770) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__def-1, axiom, ( ( _u11781 != _u11783) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11785, _u11787), _u11789), _u11783), _u11791), _u11781) = _u11791) )).
% 13.05/13.27 cnf(fact_fun__upd__def-2, axiom, ( ( _u11782 = _u11784) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11786, _u11788), _u11790), _u11784), _u11792), _u11782) = hAPP(_u11790, _u11782)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11793) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11793)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11794)) = hAPP(c_Nat_OSuc, _u11794)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11795)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11795)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11795))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u11796) | ~hBOOL(hAPP(hAPP(c_member(_u11796), _u11797), hAPP(c_SetInterval_Oord__class_OatMost(_u11796), _u11798))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), _u11798)) )).
% 13.05/13.27 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), _u11798)) | hBOOL(hAPP(hAPP(c_member(_u11796), _u11797), hAPP(c_SetInterval_Oord__class_OatMost(_u11796), _u11798))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11799, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11800)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11799), _u11800), _u11801)) )).
% 13.05/13.27 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11799), _u11800), _u11801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11799, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11800)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11801))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11802, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11803)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11802, tc_HOL_Obool), tc_Nat_Onat), _u11804), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11805))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11802, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11805, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11803), _u11805))), _u11804)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11806, _u11807, _u11808, _u11809) | ( hAPP(_u11808, _u11810) != _u11811) | ~hBOOL(hAPP(hAPP(c_member(_u11806), _u11810), _u11809)) | ( hAPP(c_Fun_Othe__inv__into(_u11806, _u11807, _u11809, _u11808), _u11811) = _u11810) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u11812, _u11813, _u11814, _u11815) | ~hBOOL(hAPP(hAPP(c_member(_u11812), _u11816), _u11815)) | ( hAPP(c_Fun_Othe__inv__into(_u11812, _u11813, _u11815, _u11814), hAPP(_u11814, _u11816)) = _u11816) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u11817, _u11818, _u11819, _u11820) | c_Fun_Oinj__on(_u11818, _u11817, c_Fun_Othe__inv__into(_u11817, _u11818, _u11820, _u11819), hAPP(c_Set_Oimage(_u11817, _u11818, _u11819), _u11820)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u11821, _u11822, _u11823, _u11824) | ( hAPP(c_Set_Oimage(_u11822, _u11821, c_Fun_Othe__inv__into(_u11821, _u11822, _u11824, _u11823)), hAPP(c_Set_Oimage(_u11821, _u11822, _u11823), _u11824)) = _u11824) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u11825, _u11826, _u11827, _u11828) | hBOOL(hAPP(hAPP(c_member(_u11826), _u11829), hAPP(c_Set_Oimage(_u11825, _u11826, _u11827), _u11828))) | c_Fun_Oinj__on(_u11825, _u11826, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11825, _u11826), _u11827), _u11830), _u11829), _u11828) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u11831, _u11832, _u11833, _u11834), _u11835) = c_HOL_OThe(_u11831, hAPP(hAPP(c_COMBS(_u11831, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11831), c_fconj), hAPP(hAPP(c_COMBC(_u11831, tc_fun(_u11831, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11831)), _u11833))), hAPP(hAPP(c_COMBC(_u11831, _u11832, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11832, tc_fun(_u11832, tc_HOL_Obool), _u11831), c_fequal), _u11834)), _u11835)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 13.05/13.27 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)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u11836) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11836, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11836, _u11837, _u11838)), hAPP(c_SetInterval_Oord__class_OatMost(_u11836), _u11839)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11836, _u11837, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11836), _u11838), _u11839))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u11840) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11840, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11840), _u11841)), c_SetInterval_Oord__class_OatLeastAtMost(_u11840, _u11842, _u11843)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11840, _u11842, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11840), _u11841), _u11843))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u11844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11844), _u11845), _u11846)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11844, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11844), _u11845)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11844, _u11845, _u11846)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11844), _u11846)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u11847) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11847, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11847), _u11848)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11847, _u11848, _u11849)) = c_Orderings_Obot__class_Obot(tc_fun(_u11847, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u11850) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11850, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11850), _u11851)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11850, _u11851, _u11852)) = c_Orderings_Obot__class_Obot(tc_fun(_u11850, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u11853, _u11854, _u11855, _u11856) | ~hBOOL(hAPP(hAPP(c_member(_u11854), _u11857), hAPP(c_Set_Oimage(_u11853, _u11854, _u11855), _u11856))) | ( hAPP(_u11855, hAPP(c_Fun_Othe__inv__into(_u11853, _u11854, _u11856, _u11855), _u11857)) = _u11857) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11858, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11859)), _u11860) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11858, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11858, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11859)), _u11860)), hAPP(_u11860, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__upd__nonempty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__upd__nonempty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11861, tc_Option_Ooption(_u11862)), _u11863), _u11864), hAPP(c_Option_Ooption_OSome(_u11862), _u11865)) != hAPP(c_COMBK(tc_Option_Ooption(_u11862), _u11861), c_Option_Ooption_ONone(_u11862))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u11866)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11866) = 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, _u11866)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__map__upd ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__map__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11867), _u11868), _u11869)) | ( hAPP(c_Set_Oimage(_u11867, tc_Option_Ooption(_u11870), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11867, tc_Option_Ooption(_u11870)), _u11871), _u11868), hAPP(c_Option_Ooption_OSome(_u11870), _u11872))), _u11869) = hAPP(c_Set_Oimage(_u11867, tc_Option_Ooption(_u11870), _u11871), _u11869)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11873))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11874)) = _u11874) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11875) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11876) != hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11877)) | ( _u11876 = _u11877) )).
% 13.05/13.27 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11875) | ( _u11876 != _u11877) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11876) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11877)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11878) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11878)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 13.05/13.27 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))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11879)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11879), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11879))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11880)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11880)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u11881) | ~hBOOL(hAPP(hAPP(c_member(_u11881), _u11882), hAPP(c_SetInterval_Oord__class_OlessThan(_u11881), _u11883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11881), _u11882), _u11883)) )).
% 13.05/13.27 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u11881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11881), _u11882), _u11883)) | hBOOL(hAPP(hAPP(c_member(_u11881), _u11882), hAPP(c_SetInterval_Oord__class_OlessThan(_u11881), _u11883))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11884, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11885)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11886))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11884), _u11885), _u11886)) )).
% 13.05/13.27 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11884), _u11885), _u11886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11884, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11885)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11886))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11887, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11888)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11889))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11887), _u11888), _u11889)) )).
% 13.05/13.27 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11887), _u11888), _u11889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11887, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11888)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11889))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__upd__Some__unfold ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__upd__Some__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11897, tc_Option_Ooption(_u11899)), _u11901), _u11903), hAPP(c_Option_Ooption_OSome(_u11899), _u11905)), _u11907) != hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) | ( _u11907 = _u11903) | ( hAPP(_u11901, _u11907) = hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) )).
% 13.05/13.27 cnf(fact_map__upd__Some__unfold-2, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11897, tc_Option_Ooption(_u11899)), _u11901), _u11903), hAPP(c_Option_Ooption_OSome(_u11899), _u11905)), _u11907) != hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) | ( _u11905 = _u11909) | ( _u11907 != _u11903) )).
% 13.05/13.27 cnf(fact_map__upd__Some__unfold-3, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11897, tc_Option_Ooption(_u11899)), _u11901), _u11903), hAPP(c_Option_Ooption_OSome(_u11899), _u11905)), _u11907) != hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) | ( _u11905 = _u11909) | ( hAPP(_u11901, _u11907) = hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) )).
% 13.05/13.27 cnf(fact_map__upd__Some__unfold-4, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11898, tc_Option_Ooption(_u11900)), _u11902), _u11904), hAPP(c_Option_Ooption_OSome(_u11900), _u11906)), _u11908) = hAPP(c_Option_Ooption_OSome(_u11900), _u11910)) | ( _u11908 != _u11904) | ( _u11906 != _u11910) )).
% 13.05/13.27 cnf(fact_map__upd__Some__unfold-5, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11898, tc_Option_Ooption(_u11900)), _u11902), _u11904), hAPP(c_Option_Ooption_OSome(_u11900), _u11906)), _u11908) = hAPP(c_Option_Ooption_OSome(_u11900), _u11910)) | ( _u11908 = _u11904) | ( hAPP(_u11902, _u11908) != hAPP(c_Option_Ooption_OSome(_u11900), _u11910)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__upd__triv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__upd__triv-1, axiom, ( ( hAPP(_u11911, _u11912) != hAPP(c_Option_Ooption_OSome(_u11913), _u11914)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11915, tc_Option_Ooption(_u11913)), _u11911), _u11912), hAPP(c_Option_Ooption_OSome(_u11913), _u11914)) = _u11911) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__upd__eqD1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__upd__eqD1-1, axiom, ( ( _u11920 = _u11922) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11916, tc_Option_Ooption(_u11917)), _u11918), _u11919), hAPP(c_Option_Ooption_OSome(_u11917), _u11920)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11916, tc_Option_Ooption(_u11917)), _u11921), _u11919), hAPP(c_Option_Ooption_OSome(_u11917), _u11922))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u11923) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11923, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11923), _u11924), c_Orderings_Obot__class_Obot(tc_fun(_u11923, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u11923), _u11924)) = hAPP(hAPP(c_Set_Oinsert(_u11923), _u11924), c_Orderings_Obot__class_Obot(tc_fun(_u11923, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u11925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11925), _u11926), _u11927)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11925, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11925), _u11926)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11925, _u11926), _u11927)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11925), _u11927)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u11928) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11928, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11928), _u11929)), c_SetInterval_Oord__class_OatLeastAtMost(_u11928, _u11929, _u11930)) = c_Orderings_Obot__class_Obot(tc_fun(_u11928, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u11931) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11931, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11931), _u11932)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11931, _u11932), _u11933)) = c_Orderings_Obot__class_Obot(tc_fun(_u11931, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_empty__upd__none ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_empty__upd__none-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11934, tc_Option_Ooption(_u11935)), hAPP(c_COMBK(tc_Option_Ooption(_u11935), _u11934), c_Option_Ooption_ONone(_u11935))), _u11936), c_Option_Ooption_ONone(_u11935)), _u11937) = c_Option_Ooption_ONone(_u11935)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11938)) = 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), _u11938)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u11939) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11939, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11939), _u11940)), hAPP(hAPP(c_Set_Oinsert(_u11939), _u11940), c_Orderings_Obot__class_Obot(tc_fun(_u11939, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u11939), _u11940)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u11941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11941), _u11942), _u11943)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11941, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11941), _u11942)), c_SetInterval_Oord__class_OatLeastAtMost(_u11941, _u11942, _u11943)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11941), _u11943)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u11944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11944), _u11945), _u11946)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11944, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11944), _u11945)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11944, _u11945, _u11946)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11944), _u11946)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 13.05/13.27 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), _u11947)), 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))), _u11948))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11949))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11949)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11947), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11947), 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), _u11949), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11948))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ran__map__upd ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ran__map__upd-1, axiom, ( ( hAPP(_u11950, _u11951) != c_Option_Ooption_ONone(_u11952)) | ( c_Map_Oran(_u11953, _u11952, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11953, tc_Option_Ooption(_u11952)), _u11950), _u11951), hAPP(c_Option_Ooption_OSome(_u11952), _u11954))) = hAPP(hAPP(c_Set_Oinsert(_u11952), _u11954), c_Map_Oran(_u11953, _u11952, _u11950))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__None__restrict ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__None__restrict-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11960), _u11962), _u11964)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11960, tc_Option_Ooption(_u11966)), c_Map_Orestrict__map(_u11960, _u11966, _u11968, _u11964)), _u11962), c_Option_Ooption_ONone(_u11966)) = c_Map_Orestrict__map(_u11960, _u11966, _u11968, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11960, tc_HOL_Obool)), _u11964), hAPP(hAPP(c_Set_Oinsert(_u11960), _u11962), c_Orderings_Obot__class_Obot(tc_fun(_u11960, tc_HOL_Obool)))))) )).
% 13.05/13.27 cnf(fact_fun__upd__None__restrict-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11961), _u11963), _u11965)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11961, tc_Option_Ooption(_u11967)), c_Map_Orestrict__map(_u11961, _u11967, _u11969, _u11965)), _u11963), c_Option_Ooption_ONone(_u11967)) = c_Map_Orestrict__map(_u11961, _u11967, _u11969, _u11965)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11970) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11970), hAPP(c_Groups_Oabs__class_Oabs(_u11970), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11971, _u11970), _u11972), _u11973))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11971, _u11970), hAPP(hAPP(c_COMBB(_u11970, _u11970, _u11971), c_Groups_Oabs__class_Oabs(_u11970)), _u11972)), _u11973))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11974), c_Groups_Ozero__class_Ozero(_u11974)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11975, _u11974), hAPP(hAPP(c_COMBB(_u11974, _u11974, _u11975), c_Groups_Oabs__class_Oabs(_u11974)), _u11976)), _u11977))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__in ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11978), _u11979), _u11980)) | ( hAPP(c_Map_Orestrict__map(_u11978, _u11981, _u11982, _u11980), _u11979) = hAPP(_u11982, _u11979)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__restrict ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__restrict-1, axiom, ( ( c_Map_Orestrict__map(_u11983, _u11984, c_Map_Orestrict__map(_u11983, _u11984, _u11985, _u11986), _u11987) = c_Map_Orestrict__map(_u11983, _u11984, _u11985, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11983, tc_HOL_Obool)), _u11986), _u11987))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11988) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11989, _u11988), _u11990), c_Orderings_Obot__class_Obot(tc_fun(_u11989, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11988)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11991) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11992, _u11991), _u11993), c_Orderings_Obot__class_Obot(tc_fun(_u11992, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11991)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11994) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11995), _u11996)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11995, _u11994), _u11997), _u11996) = c_Groups_Ozero__class_Ozero(_u11994)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11998) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11999), _u12000)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11999, _u11998), _u12001), _u12000) = c_Groups_Ozero__class_Ozero(_u11998)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u12002) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12003, _u12002), hAPP(hAPP(c_COMBB(_u12002, _u12002, _u12003), c_Groups_Ouminus__class_Ouminus(_u12002)), _u12004)), _u12005) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12002), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12003, _u12002), _u12004), _u12005))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u12006) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12006), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12007, tc_Int_Oint), _u12008), _u12009)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12007, _u12006), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12006, _u12007), c_Int_Oring__1__class_Oof__int(_u12006)), _u12008)), _u12009)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12010) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12011, _u12010), hAPP(hAPP(c_COMBC(_u12011, tc_fun(_u12012, tc_HOL_Obool), _u12010), hAPP(hAPP(c_COMBB(tc_fun(_u12012, _u12010), tc_fun(tc_fun(_u12012, tc_HOL_Obool), _u12010), _u12011), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12012, _u12010)), _u12013)), _u12014)), _u12015) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12012, _u12010), hAPP(hAPP(c_COMBC(_u12012, tc_fun(_u12011, tc_HOL_Obool), _u12010), hAPP(hAPP(c_COMBB(tc_fun(_u12011, _u12010), tc_fun(tc_fun(_u12011, tc_HOL_Obool), _u12010), _u12012), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12011, _u12010)), hAPP(c_COMBC(_u12011, _u12012, _u12010), _u12013))), _u12015)), _u12014)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u12016) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12016), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12017, tc_Nat_Onat), _u12018), _u12019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12017, _u12016), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12016, _u12017), c_Nat_Osemiring__1__class_Oof__nat(_u12016)), _u12018)), _u12019)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u12020) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12020), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12021, _u12020), _u12022), _u12023)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12024, _u12020), _u12025), _u12026)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12021, _u12020), hAPP(hAPP(c_COMBC(_u12021, tc_fun(_u12024, tc_HOL_Obool), _u12020), hAPP(hAPP(c_COMBB(tc_fun(_u12024, _u12020), tc_fun(tc_fun(_u12024, tc_HOL_Obool), _u12020), _u12021), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12024, _u12020)), hAPP(hAPP(c_COMBC(_u12021, tc_fun(_u12024, _u12020), tc_fun(_u12024, _u12020)), hAPP(hAPP(c_COMBB(tc_fun(_u12020, _u12020), tc_fun(tc_fun(_u12024, _u12020), tc_fun(_u12024, _u12020)), _u12021), c_COMBB(_u12020, _u12020, _u12024)), hAPP(hAPP(c_COMBB(_u12020, tc_fun(_u12020, _u12020), _u12021), c_Groups_Otimes__class_Otimes(_u12020)), _u12022))), _u12025))), _u12026)), _u12023)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u12027) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12027), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12028, _u12027), _u12029), _u12030)), _u12031) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12028, _u12027), hAPP(hAPP(c_COMBC(_u12028, _u12027, _u12027), hAPP(hAPP(c_COMBB(_u12027, tc_fun(_u12027, _u12027), _u12028), c_Groups_Otimes__class_Otimes(_u12027)), _u12029)), _u12031)), _u12030)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u12032) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12032), _u12033), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12034, _u12032), _u12035), _u12036)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12034, _u12032), hAPP(hAPP(c_COMBB(_u12032, _u12032, _u12034), hAPP(c_Groups_Otimes__class_Otimes(_u12032), _u12033)), _u12035)), _u12036)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12037) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12038, _u12037), hAPP(hAPP(c_COMBS(_u12038, _u12037, _u12037), hAPP(hAPP(c_COMBB(_u12037, tc_fun(_u12037, _u12037), _u12038), c_Groups_Oplus__class_Oplus(_u12037)), _u12039)), _u12040)), _u12041) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12037), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12038, _u12037), _u12039), _u12041)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12038, _u12037), _u12040), _u12041))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12042) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12043, _u12042), hAPP(c_COMBK(_u12042, _u12043), c_Groups_Ozero__class_Ozero(_u12042))), _u12044) = c_Groups_Ozero__class_Ozero(_u12042)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12045) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12045), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12046, _u12045), hAPP(hAPP(c_COMBB(_u12045, _u12045, _u12046), c_Groups_Oabs__class_Oabs(_u12045)), _u12047)), _u12048)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12046, _u12045), hAPP(hAPP(c_COMBB(_u12045, _u12045, _u12046), c_Groups_Oabs__class_Oabs(_u12045)), _u12047)), _u12048)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u12049) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12049), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12050, _u12049), _u12051), _u12052)), _u12053) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12050, _u12049), hAPP(hAPP(c_COMBC(_u12050, _u12049, _u12049), hAPP(hAPP(c_COMBB(_u12049, tc_fun(_u12049, _u12049), _u12050), c_Rings_Oinverse__class_Odivide(_u12049)), _u12051)), _u12053)), _u12052)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u12054) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12055, _u12054), hAPP(hAPP(c_COMBS(_u12055, _u12054, _u12054), hAPP(hAPP(c_COMBB(_u12054, tc_fun(_u12054, _u12054), _u12055), c_Groups_Ominus__class_Ominus(_u12054)), _u12056)), _u12057)), _u12058) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12055, _u12054), _u12056), _u12058)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12055, _u12054), _u12057), _u12058))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__map__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__map__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u12059, _u12060, hAPP(c_COMBK(tc_Option_Ooption(_u12060), _u12059), c_Option_Ooption_ONone(_u12060)), _u12061), _u12062) = c_Option_Ooption_ONone(_u12060)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12063) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12064), _u12065)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12064, _u12063), hAPP(hAPP(c_COMBS(_u12064, _u12063, _u12063), hAPP(hAPP(c_COMBB(_u12063, tc_fun(_u12063, _u12063), _u12064), c_Groups_Oplus__class_Oplus(_u12063)), _u12066)), _u12067)), _u12065) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12063), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12064, _u12063), _u12066), _u12065)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12064, _u12063), _u12067), _u12065))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12068) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12068), _u12069), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12070)), hAPP(c_Nat_OSuc, _u12071))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12068), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12068, tc_Nat_Onat), _u12069), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12070), _u12071))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12072) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12072), _u12073), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12074), _u12075)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12076), _u12075))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12072), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12072, tc_Nat_Onat), _u12073), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12075))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12074), _u12076))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12077), _u12078), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12079), hAPP(c_Nat_OSuc, _u12080))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12077), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12077, tc_Nat_Onat), _u12078), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12079, _u12080))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12081) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12081), _u12082), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12083), _u12084), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12085), _u12084))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12081), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12081, tc_Nat_Onat), _u12082), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12084))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12083, _u12085))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__out ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__out-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12086), _u12087), _u12088)) | ( hAPP(c_Map_Orestrict__map(_u12086, _u12089, _u12090, _u12088), _u12087) = c_Option_Ooption_ONone(_u12089)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__map__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__map__insert-1, axiom, ( ( c_Map_Orestrict__map(_u12091, _u12092, _u12093, hAPP(hAPP(c_Set_Oinsert(_u12091), _u12094), _u12095)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12091, tc_Option_Ooption(_u12092)), c_Map_Orestrict__map(_u12091, _u12092, _u12093, _u12095)), _u12094), hAPP(_u12093, _u12094))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12096) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12097), _u12098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12098), _u12099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12096), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12096), _u12100), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12097), _u12098))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12096), _u12100), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12098), _u12099))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12096), _u12100), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12097), _u12099))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u12101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12102), _u12103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12103), _u12104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12101), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12101), _u12105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12102), _u12104))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12101), _u12105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12102), _u12103))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12101), _u12105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12103), _u12104))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12107), _u12108)) | ~hBOOL(hAPP(hAPP(c_member(_u12107), _u12109), _u12108)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12107, _u12106), hAPP(hAPP(c_COMBC(_u12107, _u12106, _u12106), hAPP(hAPP(c_COMBS(_u12107, _u12106, tc_fun(_u12106, _u12106)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12106, tc_fun(_u12106, _u12106)), _u12107), c_If(_u12106)), hAPP(hAPP(c_COMBC(_u12107, _u12107, tc_HOL_Obool), c_fequal), _u12109))), _u12110)), c_Groups_Ozero__class_Ozero(_u12106))), _u12108) = hAPP(_u12110, _u12109)) )).
% 13.05/13.27 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12107), _u12108)) | hBOOL(hAPP(hAPP(c_member(_u12107), _u12109), _u12108)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12107, _u12106), hAPP(hAPP(c_COMBC(_u12107, _u12106, _u12106), hAPP(hAPP(c_COMBS(_u12107, _u12106, tc_fun(_u12106, _u12106)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12106, tc_fun(_u12106, _u12106)), _u12107), c_If(_u12106)), hAPP(hAPP(c_COMBC(_u12107, _u12107, tc_HOL_Obool), c_fequal), _u12109))), _u12110)), c_Groups_Ozero__class_Ozero(_u12106))), _u12108) = c_Groups_Ozero__class_Ozero(_u12106)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12112), _u12113)) | ~hBOOL(hAPP(hAPP(c_member(_u12112), _u12114), _u12113)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12112, _u12111), hAPP(hAPP(c_COMBC(_u12112, _u12111, _u12111), hAPP(hAPP(c_COMBS(_u12112, _u12111, tc_fun(_u12111, _u12111)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12111, tc_fun(_u12111, _u12111)), _u12112), c_If(_u12111)), hAPP(c_fequal, _u12114))), _u12115)), c_Groups_Ozero__class_Ozero(_u12111))), _u12113) = hAPP(_u12115, _u12114)) )).
% 13.05/13.27 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12112), _u12113)) | hBOOL(hAPP(hAPP(c_member(_u12112), _u12114), _u12113)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12112, _u12111), hAPP(hAPP(c_COMBC(_u12112, _u12111, _u12111), hAPP(hAPP(c_COMBS(_u12112, _u12111, tc_fun(_u12111, _u12111)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12111, tc_fun(_u12111, _u12111)), _u12112), c_If(_u12111)), hAPP(c_fequal, _u12114))), _u12115)), c_Groups_Ozero__class_Ozero(_u12111))), _u12113) = c_Groups_Ozero__class_Ozero(_u12111)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__map__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__map__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12121), _u12123), _u12125)) | ( hAPP(c_Map_Orestrict__map(_u12121, _u12127, _u12129, _u12125), _u12123) = hAPP(_u12129, _u12123)) )).
% 13.05/13.27 cnf(fact_restrict__map__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12122), _u12124), _u12126)) | ( hAPP(c_Map_Orestrict__map(_u12122, _u12128, _u12130, _u12126), _u12124) = c_Option_Ooption_ONone(_u12128)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__map__to__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__map__to__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u12131, _u12132, _u12133, c_Orderings_Obot__class_Obot(tc_fun(_u12131, tc_HOL_Obool))), _u12134) = c_Option_Ooption_ONone(_u12132)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u12135) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12136, _u12135), hAPP(c_COMBK(_u12135, _u12136), _u12137)), _u12138) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12135), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12135), hAPP(c_Finite__Set_Ocard(_u12136), _u12138))), _u12137)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12139) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12139), _u12140), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12141))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12139), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12139), _u12140), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12141))), hAPP(_u12140, _u12141))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12142) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12142), _u12143), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12144))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12142), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12142), _u12143), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12144))), hAPP(_u12143, hAPP(c_Nat_OSuc, _u12144)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12145) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12146), _u12147)) | hBOOL(hAPP(hAPP(c_member(_u12146), _u12148), _u12147)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12146, _u12145), _u12149), hAPP(hAPP(c_Set_Oinsert(_u12146), _u12148), _u12147)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12145), hAPP(_u12149, _u12148)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12146, _u12145), _u12149), _u12147))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12151), _u12152)) | hBOOL(hAPP(hAPP(c_member(_u12151), _u12153), _u12152)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12151, _u12150), _u12154), hAPP(hAPP(c_Set_Oinsert(_u12151), _u12153), _u12152)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12150), hAPP(_u12154, _u12153)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12151, _u12150), _u12154), _u12152))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12156), _u12157)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12156), _u12158)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12155), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12156, tc_HOL_Obool)), _u12157), _u12158))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12156, tc_HOL_Obool)), _u12157), _u12158))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12155), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), _u12157)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), _u12158))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u12160) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12161), _u12162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12161, tc_HOL_Obool)), _u12163), _u12162)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12161, _u12160), _u12164), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12161, tc_HOL_Obool)), _u12162), _u12163)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12160), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12161, _u12160), _u12164), _u12162)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12161, _u12160), _u12164), _u12163))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12166), _u12167)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12166, _u12165), _u12168), _u12167) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12165, _u12166, c_Groups_Oplus__class_Oplus(_u12165)), _u12168), c_Groups_Ozero__class_Ozero(_u12165)), _u12167)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12170), _u12171)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12170, _u12169), _u12172), _u12171) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12169, _u12170, c_Groups_Oplus__class_Oplus(_u12169)), _u12172), c_Groups_Ozero__class_Ozero(_u12169)), _u12171)) )).
% 13.05/13.27 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12169) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12170), _u12171)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12170, _u12169), _u12172), _u12171) = c_Groups_Ozero__class_Ozero(_u12169)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12173) | ( hAPP(_u12174, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u12173)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12173), _u12174), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u12175)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12173), _u12174), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12175))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12177), _u12178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12176), _u12179), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12177), _u12178)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12176), hAPP(_u12179, _u12177)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12176), _u12179), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12177)), _u12178)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12181), _u12182)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12180), _u12183), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12181, _u12182)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12180), hAPP(_u12183, _u12181)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12180), _u12183), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12181), _u12182)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12185), _u12186)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12185, _u12184), _u12187), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12185, tc_HOL_Obool)), _u12186), _u12188)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12185, _u12184), hAPP(hAPP(c_COMBC(_u12185, _u12184, _u12184), hAPP(hAPP(c_COMBS(_u12185, _u12184, tc_fun(_u12184, _u12184)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12184, tc_fun(_u12184, _u12184)), _u12185), c_If(_u12184)), hAPP(hAPP(c_COMBC(_u12185, tc_fun(_u12185, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12185)), _u12188))), _u12187)), c_Groups_Ozero__class_Ozero(_u12184))), _u12186)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ranI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ranI-1, axiom, ( ( hAPP(_u12189, _u12190) != hAPP(c_Option_Ooption_OSome(_u12191), _u12192)) | hBOOL(hAPP(hAPP(c_member(_u12191), _u12192), c_Map_Oran(_u12193, _u12191, _u12189))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12195), _u12196)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12195, _u12194), _u12197), hAPP(hAPP(c_Set_Oinsert(_u12195), _u12198), _u12196)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12194), hAPP(_u12197, _u12198)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12195, _u12194), _u12197), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12195, tc_HOL_Obool)), _u12196), hAPP(hAPP(c_Set_Oinsert(_u12195), _u12198), c_Orderings_Obot__class_Obot(tc_fun(_u12195, tc_HOL_Obool))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12200), _u12201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12200), _u12202)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12200, tc_HOL_Obool)), _u12201), _u12202) != c_Orderings_Obot__class_Obot(tc_fun(_u12200, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12200, _u12199), _u12203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12200, tc_HOL_Obool)), _u12201), _u12202)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12199), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12200, _u12199), _u12203), _u12201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12200, _u12199), _u12203), _u12202))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u12204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12205), _u12206)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12205), _u12207)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12205, tc_HOL_Obool)), _u12206), _u12207)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12204), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), _u12206)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), _u12207))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12205, tc_HOL_Obool)), _u12206), _u12207)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12210), _u12211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12209), _u12212), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12211), hAPP(c_Nat_OSuc, _u12210))) = c_Groups_Ozero__class_Ozero(_u12209)) )).
% 13.05/13.27 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12209) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12210), _u12211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12209), _u12212), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12211), hAPP(c_Nat_OSuc, _u12210))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12209), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12209), _u12212), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12211), _u12210))), hAPP(_u12212, _u12210))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12214)), _u12215)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12213), _u12216), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12215, hAPP(c_Nat_OSuc, _u12214))) = c_Groups_Ozero__class_Ozero(_u12213)) )).
% 13.05/13.27 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12214)), _u12215)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12213), _u12216), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12215, hAPP(c_Nat_OSuc, _u12214))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12213), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12213), _u12216), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12215, _u12214))), hAPP(_u12216, hAPP(c_Nat_OSuc, _u12214)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12218), _u12219)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12217), _u12220), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12218, _u12219)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12217), hAPP(_u12220, _u12218)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12217), _u12220), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u12218, _u12219)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12221), _u12224), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12222, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), _u12225))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12221), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12221), _u12224), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12222, _u12223))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12221), _u12224), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), _u12225))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__restrict ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__restrict-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12226, tc_Option_Ooption(_u12227)), c_Map_Orestrict__map(_u12226, _u12227, _u12228, _u12229)), _u12230), _u12231) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12226, tc_Option_Ooption(_u12227)), c_Map_Orestrict__map(_u12226, _u12227, _u12228, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12226, tc_HOL_Obool)), _u12229), hAPP(hAPP(c_Set_Oinsert(_u12226), _u12230), c_Orderings_Obot__class_Obot(tc_fun(_u12226, tc_HOL_Obool)))))), _u12230), _u12231)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ran__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ran__empty-1, axiom, ( ( c_Map_Oran(_u12232, _u12233, hAPP(c_COMBK(tc_Option_Ooption(_u12233), _u12232), c_Option_Ooption_ONone(_u12233))) = c_Orderings_Obot__class_Obot(tc_fun(_u12233, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12235), _u12236)) | ~hBOOL(hAPP(hAPP(c_member(_u12235), _u12237), _u12236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12235, _u12234), _u12238), _u12236) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12234), hAPP(_u12238, _u12237)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12235, _u12234), _u12238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12235, tc_HOL_Obool)), _u12236), hAPP(hAPP(c_Set_Oinsert(_u12235), _u12237), c_Orderings_Obot__class_Obot(tc_fun(_u12235, tc_HOL_Obool))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12240), _u12241)) | ~hBOOL(hAPP(hAPP(c_member(_u12240), _u12242), _u12241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12240, _u12239), _u12243), _u12241) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12239), hAPP(_u12243, _u12242)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12240, _u12239), _u12243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12240, tc_HOL_Obool)), _u12241), hAPP(hAPP(c_Set_Oinsert(_u12240), _u12242), c_Orderings_Obot__class_Obot(tc_fun(_u12240, tc_HOL_Obool))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u12244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12245), _u12246)) | ~hBOOL(hAPP(hAPP(c_member(_u12245), _u12247), _u12246)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12245, _u12244), _u12248), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12245, tc_HOL_Obool)), _u12246), hAPP(hAPP(c_Set_Oinsert(_u12245), _u12247), c_Orderings_Obot__class_Obot(tc_fun(_u12245, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12244), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12245, _u12244), _u12248), _u12246)), hAPP(_u12248, _u12247))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u12249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12250), _u12251)) | ~hBOOL(hAPP(hAPP(c_member(_u12250), _u12252), _u12251)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12250, tc_HOL_Obool)), _u12251), hAPP(hAPP(c_Set_Oinsert(_u12250), _u12252), c_Orderings_Obot__class_Obot(tc_fun(_u12250, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12249), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), _u12251)), hAPP(_u12253, _u12252))) )).
% 13.05/13.27 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u12249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12250), _u12251)) | hBOOL(hAPP(hAPP(c_member(_u12250), _u12252), _u12251)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12250, tc_HOL_Obool)), _u12251), hAPP(hAPP(c_Set_Oinsert(_u12250), _u12252), c_Orderings_Obot__class_Obot(tc_fun(_u12250, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), _u12251)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u12254) | ( _u12255 = c_Groups_Oone__class_Oone(_u12254)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12254), hAPP(c_Power_Opower__class_Opower(_u12254), _u12255)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12256)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12254), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12254), hAPP(hAPP(c_Power_Opower__class_Opower(_u12254), _u12255), _u12256)), c_Groups_Oone__class_Oone(_u12254))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12254), _u12255), c_Groups_Oone__class_Oone(_u12254)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u12257) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12257), c_Groups_Oone__class_Oone(_u12257)), c_Groups_Oone__class_Oone(_u12257))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12257), c_Nat_Osemiring__1__class_Oof__nat(_u12257)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u12258))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12257), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12257), _u12258)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12257), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12257), _u12258)), c_Groups_Oone__class_Oone(_u12257)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u12259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12260, _u12261)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12259), hAPP(_u12262, _u12260)), hAPP(_u12262, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12261), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 13.05/13.27 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u12259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12260, _u12261)) = c_Groups_Ozero__class_Ozero(_u12259)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__upd__restrict__conv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__upd__restrict__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12263), _u12264), _u12265)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12263, tc_Option_Ooption(_u12266)), c_Map_Orestrict__map(_u12263, _u12266, _u12267, _u12265)), _u12264), _u12268) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12263, tc_Option_Ooption(_u12266)), c_Map_Orestrict__map(_u12263, _u12266, _u12267, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12263, tc_HOL_Obool)), _u12265), hAPP(hAPP(c_Set_Oinsert(_u12263), _u12264), c_Orderings_Obot__class_Obot(tc_fun(_u12263, tc_HOL_Obool)))))), _u12264), _u12268)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__fun__upd ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__fun__upd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12275), _u12277), _u12279)) | ( c_Map_Orestrict__map(_u12275, _u12281, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12275, tc_Option_Ooption(_u12281)), _u12283), _u12277), _u12285), _u12279) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12275, tc_Option_Ooption(_u12281)), c_Map_Orestrict__map(_u12275, _u12281, _u12283, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12275, tc_HOL_Obool)), _u12279), hAPP(hAPP(c_Set_Oinsert(_u12275), _u12277), c_Orderings_Obot__class_Obot(tc_fun(_u12275, tc_HOL_Obool)))))), _u12277), _u12285)) )).
% 13.05/13.27 cnf(fact_restrict__fun__upd-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12276), _u12278), _u12280)) | ( c_Map_Orestrict__map(_u12276, _u12282, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12276, tc_Option_Ooption(_u12282)), _u12284), _u12278), _u12286), _u12280) = c_Map_Orestrict__map(_u12276, _u12282, _u12284, _u12280)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__complement__singleton__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__complement__singleton__eq-1, axiom, ( ( c_Map_Orestrict__map(_u12287, _u12288, _u12289, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12287), _u12290), c_Orderings_Obot__class_Obot(tc_fun(_u12287, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12287, tc_Option_Ooption(_u12288)), _u12289), _u12290), c_Option_Ooption_ONone(_u12288))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_restrict__upd__same ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_restrict__upd__same-1, axiom, ( ( c_Map_Orestrict__map(_u12291, _u12292, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12291, tc_Option_Ooption(_u12292)), _u12293), _u12294), hAPP(c_Option_Ooption_OSome(_u12292), _u12295)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12291, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12291), _u12294), c_Orderings_Obot__class_Obot(tc_fun(_u12291, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u12291, _u12292, _u12293, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12291, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12291), _u12294), c_Orderings_Obot__class_Obot(tc_fun(_u12291, tc_HOL_Obool)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u12296) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12296), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12296), c_Groups_Oone__class_Oone(_u12296)), c_Groups_Oone__class_Oone(_u12296))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12296), hAPP(hAPP(c_COMBB(_u12296, _u12296, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u12296), _u12297)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u12296, _u12296), hAPP(hAPP(c_COMBB(_u12296, tc_fun(_u12296, _u12296), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u12296)), c_Nat_Osemiring__1__class_Oof__nat(_u12296))), _u12298))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12299))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12296), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12296), _u12299)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12296), _u12297), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12296), _u12297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12296), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12296), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u12299), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u12298))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u12301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12302), _u12303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12302, tc_HOL_Obool)), _u12304), _u12303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12304)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12303))) | hBOOL(hAPP(hAPP(c_member(_u12302), skolem251(_u12305, _u12304, _u12303, _u12302, _u12301)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12302, tc_HOL_Obool)), _u12303), _u12304))) )).
% 13.05/13.27 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u12301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12302), _u12303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12302, tc_HOL_Obool)), _u12304), _u12303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12304)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12301), c_Groups_Ozero__class_Ozero(_u12301)), hAPP(_u12305, skolem251(_u12305, _u12304, _u12303, _u12302, _u12301)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u12307) | ~class_Rings_Osemiring__1(_u12307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12307), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12308, _u12307), _u12310), _u12309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12307), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12307), hAPP(c_Finite__Set_Ocard(_u12308), _u12309))), _u12311))) | hBOOL(hAPP(hAPP(c_member(_u12308), skolem252(_u12311, _u12310, _u12309, _u12308, _u12307)), _u12309)) )).
% 13.05/13.27 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u12307) | ~class_Rings_Osemiring__1(_u12307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12307), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12308, _u12307), _u12310), _u12309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12307), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12307), hAPP(c_Finite__Set_Ocard(_u12308), _u12309))), _u12311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12307), hAPP(_u12310, skolem252(_u12311, _u12310, _u12309, _u12308, _u12307))), _u12311)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12316)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12314, tc_HOL_Obool)), _u12315), _u12316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12313), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12315)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12316))) | hBOOL(hAPP(hAPP(c_member(_u12314), skolem253(_u12317, _u12316, _u12315, _u12314, _u12313)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12314, tc_HOL_Obool)), _u12315), _u12316))) )).
% 13.05/13.27 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12316)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12314, tc_HOL_Obool)), _u12315), _u12316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12313), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12315)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12316))) | ( hAPP(_u12317, skolem253(_u12317, _u12316, _u12315, _u12314, _u12313)) != c_Groups_Ozero__class_Ozero(_u12313)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12320), _u12321)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12320, tc_Nat_Onat), _u12322), _u12321) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12320), _u12318), _u12321)) | ( hAPP(_u12322, _u12318) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.27 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12320), _u12321)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12320, tc_Nat_Onat), _u12322), _u12321) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u12320), skolem254(_u12322, _u12321, _u12320)), _u12321)) )).
% 13.05/13.27 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12320), _u12321)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12320, tc_Nat_Onat), _u12322), _u12321) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u12322, skolem254(_u12322, _u12321, _u12320)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u12323), _u12324) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12323, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u12323), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u12324)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 13.05/13.27 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(_u12325, tc_Nat_Onat), _u12326), _u12327)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12325, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u12325), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12326)), _u12327)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u12332), skolem255(_u12334, _u12333, _u12332)), _u12333)) )).
% 13.05/13.27 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u12334, skolem255(_u12334, _u12333, _u12332)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.05/13.27 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12328), _u12333)) | ( skolem255(_u12334, _u12333, _u12332) = _u12328) | ( hAPP(_u12334, _u12328) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.27 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12331), _u12333)) | ( hAPP(_u12334, _u12331) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u12332), skolem256(_u12334, _u12333, _u12332, _u12331)), _u12333)) )).
% 13.05/13.27 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12331), _u12333)) | ( hAPP(_u12334, _u12331) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u12331 != skolem256(_u12334, _u12333, _u12332, _u12331)) )).
% 13.05/13.27 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12331), _u12333)) | ( hAPP(_u12334, _u12331) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u12334, skolem256(_u12334, _u12333, _u12332, _u12331)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u12339), skolem257(_u12341, _u12340, _u12339)), _u12340)) )).
% 13.05/13.27 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u12341, skolem257(_u12341, _u12340, _u12339)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.05/13.27 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12335), _u12340)) | ( skolem257(_u12341, _u12340, _u12339) = _u12335) | ( hAPP(_u12341, _u12335) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.27 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12338), _u12340)) | ( hAPP(_u12341, _u12338) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u12339), skolem258(_u12341, _u12340, _u12339, _u12338)), _u12340)) )).
% 13.05/13.27 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12338), _u12340)) | ( hAPP(_u12341, _u12338) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u12338 != skolem258(_u12341, _u12340, _u12339, _u12338)) )).
% 13.05/13.27 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12338), _u12340)) | ( hAPP(_u12341, _u12338) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u12341, skolem258(_u12341, _u12340, _u12339, _u12338)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u12342, 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), _u12342), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12343)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12342), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12343))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12344, tc_Nat_Onat), _u12345), _u12346) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12344, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u12344), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12345)), _u12346))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12347), _u12348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12347, tc_HOL_Obool)), _u12348), _u12349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12347, tc_Nat_Onat), _u12350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12347, tc_HOL_Obool)), _u12349), _u12348)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12347, tc_Nat_Onat), _u12350), _u12349)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12347, tc_Nat_Onat), _u12350), _u12348))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12351) | ~class_Groups_Ocomm__monoid__mult(_u12351) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12351), _u12352), _u12353) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12351), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12351, tc_Int_Oint), _u12352), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12353))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12358), _u12360), _u12362)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12358, tc_Nat_Onat), _u12364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12358, tc_HOL_Obool)), _u12362), hAPP(hAPP(c_Set_Oinsert(_u12358), _u12360), c_Orderings_Obot__class_Obot(tc_fun(_u12358, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12358, tc_Nat_Onat), _u12364), _u12362)), hAPP(_u12364, _u12360))) )).
% 13.05/13.27 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12359), _u12361), _u12363)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12359, tc_Nat_Onat), _u12365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12359, tc_HOL_Obool)), _u12363), hAPP(hAPP(c_Set_Oinsert(_u12359), _u12361), c_Orderings_Obot__class_Obot(tc_fun(_u12359, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12359, tc_Nat_Onat), _u12365), _u12363)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12366), _u12367)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12366), _u12368)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12366, tc_Nat_Onat), _u12369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12366, tc_HOL_Obool)), _u12367), _u12368)) = 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(_u12366, tc_Nat_Onat), _u12369), _u12367)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12366, tc_Nat_Onat), _u12369), _u12368))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12366, tc_Nat_Onat), _u12369), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12366, tc_HOL_Obool)), _u12367), _u12368)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12370) | ~class_Groups_Ocomm__monoid__mult(_u12370) | ~c_Nat__Transfer_Onat__set(_u12371) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12370), _u12372), _u12371) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12370), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12370, tc_Nat_Onat), _u12372), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12371))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 13.05/13.27 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), _u12373)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u12374))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12375))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12375), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12373), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u12375), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u12374))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Int_Oint), _u12379), _u12378) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u12377), c_Int_Onat), _u12379)), _u12378))) | hBOOL(hAPP(hAPP(c_member(_u12377), skolem259(_u12379, _u12378, _u12377)), _u12378)) )).
% 13.05/13.27 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Int_Oint), _u12379), _u12378) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u12377), c_Int_Onat), _u12379)), _u12378))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u12379, skolem259(_u12379, _u12378, _u12377))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12383)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12384)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12381), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12383)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12384))) | hBOOL(hAPP(hAPP(c_member(_u12382), skolem260(_u12385, _u12384, _u12383, _u12382, _u12381)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384))) )).
% 13.05/13.27 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12383)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12384)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12381), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12383)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12384))) | ( hAPP(_u12385, skolem260(_u12385, _u12384, _u12383, _u12382, _u12381)) != c_Groups_Ozero__class_Ozero(_u12381)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12387) | ~class_Groups_Oordered__ab__semigroup__add(_u12387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12388), _u12389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12388, tc_HOL_Obool)), _u12390), _u12389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12387), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12390)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12389))) | hBOOL(hAPP(hAPP(c_member(_u12388), skolem261(_u12391, _u12390, _u12389, _u12388, _u12387)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12388, tc_HOL_Obool)), _u12389), _u12390))) )).
% 13.05/13.27 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12387) | ~class_Groups_Oordered__ab__semigroup__add(_u12387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12388), _u12389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12388, tc_HOL_Obool)), _u12390), _u12389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12387), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12390)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12389))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12387), c_Groups_Ozero__class_Ozero(_u12387)), hAPP(_u12391, skolem261(_u12391, _u12390, _u12389, _u12388, _u12387)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12394), _u12395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12394, _u12393), _u12396), _u12395) != c_Groups_Ozero__class_Ozero(_u12393)) | ~hBOOL(hAPP(hAPP(c_member(_u12394), _u12397), _u12395)) | ( hAPP(_u12396, _u12397) = c_Groups_Ozero__class_Ozero(_u12393)) | hBOOL(hAPP(hAPP(c_member(_u12394), skolem262(_u12397, _u12396, _u12395, _u12394, _u12393)), _u12395)) )).
% 13.05/13.27 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12394), _u12395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12394, _u12393), _u12396), _u12395) != c_Groups_Ozero__class_Ozero(_u12393)) | ~hBOOL(hAPP(hAPP(c_member(_u12394), _u12397), _u12395)) | ( hAPP(_u12396, _u12397) = c_Groups_Ozero__class_Ozero(_u12393)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12393), c_Groups_Ozero__class_Ozero(_u12393)), hAPP(_u12396, skolem262(_u12397, _u12396, _u12395, _u12394, _u12393)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12400), _u12401)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12400, _u12399), _u12402), _u12401) != _u12403) | ~hBOOL(hAPP(hAPP(c_member(_u12400), _u12404), _u12401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12399), hAPP(_u12402, _u12404)), _u12403)) | hBOOL(hAPP(hAPP(c_member(_u12400), skolem263(_u12404, _u12403, _u12402, _u12401, _u12400, _u12399)), _u12401)) )).
% 13.05/13.27 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12400), _u12401)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12400, _u12399), _u12402), _u12401) != _u12403) | ~hBOOL(hAPP(hAPP(c_member(_u12400), _u12404), _u12401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12399), hAPP(_u12402, _u12404)), _u12403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12399), c_Groups_Ozero__class_Ozero(_u12399)), hAPP(_u12402, skolem263(_u12404, _u12403, _u12402, _u12401, _u12400, _u12399)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12406, skolem264(_u12408, _u12407, _u12406))), hAPP(_u12407, skolem264(_u12408, _u12407, _u12406)))) | ( 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), _u12407), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12408))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12406), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12408))) = 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)), _u12407)), _u12406)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12408))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12411), _u12412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12411, tc_HOL_Obool)), _u12413), _u12412)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12413) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12412)) | hBOOL(hAPP(hAPP(c_member(_u12411), skolem265(_u12414, _u12413, _u12412, _u12411, _u12410)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12411, tc_HOL_Obool)), _u12412), _u12413))) )).
% 13.05/13.27 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12411), _u12412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12411, tc_HOL_Obool)), _u12413), _u12412)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12413) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12412)) | ( hAPP(_u12414, skolem265(_u12414, _u12413, _u12412, _u12411, _u12410)) != c_Groups_Ozero__class_Ozero(_u12410)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12417), _u12418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12418) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12419)) | hBOOL(hAPP(hAPP(c_member(_u12417), skolem266(_u12420, _u12419, _u12418, _u12417, _u12416)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12417, tc_HOL_Obool)), _u12418), _u12419))) )).
% 13.05/13.27 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12417), _u12418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12418) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12419)) | ( hAPP(_u12420, skolem266(_u12420, _u12419, _u12418, _u12417, _u12416)) != c_Groups_Ozero__class_Ozero(_u12416)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u12421, _u12422, _u12423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), _u12424)) | ( _u12424 = c_Orderings_Obot__class_Obot(tc_fun(_u12421, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), _u12425)) | ( _u12425 = c_Orderings_Obot__class_Obot(tc_fun(_u12421, tc_HOL_Obool))) | ( hAPP(_u12423, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12421, tc_HOL_Obool)), _u12424), _u12425)) = hAPP(hAPP(_u12422, hAPP(_u12423, _u12424)), hAPP(_u12423, _u12425))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u12427, _u12429), _u12429) = _u12429) | ~c_Finite__Set_Ofolding__one__idem(_u12426, _u12427, _u12428) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u12430, _u12431, _u12432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12430), _u12433)) | ~hBOOL(hAPP(hAPP(c_member(_u12430), _u12434), _u12433)) | ( hAPP(hAPP(_u12431, _u12434), hAPP(_u12432, _u12433)) = hAPP(_u12432, _u12433)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u12435, _u12436, _u12437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12435), _u12438)) | ( _u12438 = c_Orderings_Obot__class_Obot(tc_fun(_u12435, tc_HOL_Obool))) | ( hAPP(_u12437, hAPP(hAPP(c_Set_Oinsert(_u12435), _u12439), _u12438)) = hAPP(hAPP(_u12436, _u12439), hAPP(_u12437, _u12438))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u12440, _u12441, _u12442) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12440), _u12443)) | ( _u12444 = c_Orderings_Obot__class_Obot(tc_fun(_u12440, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12440, tc_HOL_Obool)), _u12444), _u12443)) | ( hAPP(hAPP(_u12441, hAPP(_u12442, _u12444)), hAPP(_u12442, _u12443)) = hAPP(_u12442, _u12443)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), skolem268(_u12450, _u12449, _u12448, _u12447))) )).
% 13.05/13.27 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | hBOOL(hAPP(hAPP(c_member(_u12447), skolem267(_u12450, _u12449, _u12448, _u12447)), _u12449)) )).
% 13.05/13.27 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | ~hBOOL(hAPP(hAPP(c_member(_u12447), skolem267(_u12450, _u12449, _u12448, _u12447)), skolem268(_u12450, _u12449, _u12448, _u12447))) )).
% 13.05/13.27 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | hBOOL(hAPP(_u12450, skolem268(_u12450, _u12449, _u12448, _u12447))) )).
% 13.05/13.27 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | ~hBOOL(hAPP(_u12450, hAPP(hAPP(c_Set_Oinsert(_u12447), skolem267(_u12450, _u12449, _u12448, _u12447)), skolem268(_u12450, _u12449, _u12448, _u12447)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12452) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u12452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12453), _u12454)) | ( _u12454 = c_Orderings_Obot__class_Obot(tc_fun(_u12453, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12452), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12455), _u12454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12456), _u12454))) | hBOOL(hAPP(hAPP(c_member(_u12453), skolem269(_u12456, _u12455, _u12454, _u12453, _u12452)), _u12454)) )).
% 13.05/13.27 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12452) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u12452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12453), _u12454)) | ( _u12454 = c_Orderings_Obot__class_Obot(tc_fun(_u12453, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12452), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12455), _u12454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12456), _u12454))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12452), hAPP(_u12455, skolem269(_u12456, _u12455, _u12454, _u12453, _u12452))), hAPP(_u12456, skolem269(_u12456, _u12455, _u12454, _u12453, _u12452)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u12457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12457, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12457), _u12458)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12457), _u12458)) = hAPP(hAPP(c_Set_Oinsert(_u12457), _u12458), c_Orderings_Obot__class_Obot(tc_fun(_u12457, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12459) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12460) != hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12461)) | ( _u12460 = _u12461) )).
% 13.05/13.27 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12459) | ( _u12460 != _u12461) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12460) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12461)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u12462) | ~hBOOL(hAPP(hAPP(c_member(_u12462), _u12463), hAPP(c_SetInterval_Oord__class_OatLeast(_u12462), _u12464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12462), _u12464), _u12463)) )).
% 13.05/13.27 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u12462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12462), _u12464), _u12463)) | hBOOL(hAPP(hAPP(c_member(_u12462), _u12463), hAPP(c_SetInterval_Oord__class_OatLeast(_u12462), _u12464))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u12465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12465, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12466)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12465), _u12467), _u12466)) )).
% 13.05/13.27 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u12465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12465), _u12467), _u12466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12465, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12466)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12467))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u12468) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12468, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12468), _u12469)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12468), _u12469)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u12470) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12470, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12470), _u12471)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12470), _u12471)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u12472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12472), _u12473), _u12474)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12472, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12472, _u12473), _u12474)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12472), _u12474)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12472), _u12473)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u12475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12475, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12475, _u12476), _u12477)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12475), _u12477)) = c_Orderings_Obot__class_Obot(tc_fun(_u12475, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u12478) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12478, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12478), _u12479)), c_SetInterval_Oord__class_OatLeastAtMost(_u12478, _u12480, _u12481)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12478, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12478), _u12479), _u12480), _u12481)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u12482) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12482, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12482, _u12483, _u12484)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12482), _u12485)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12482, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12482), _u12483), _u12485), _u12484)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u12486) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12486, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12486, _u12487, _u12488)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12486), _u12488)) = c_Orderings_Obot__class_Obot(tc_fun(_u12486, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12489) | ( hAPP(c_Set_Oimage(_u12489, _u12489, c_Groups_Ouminus__class_Ouminus(_u12489)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12489), _u12490)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12489), hAPP(c_Groups_Ouminus__class_Ouminus(_u12489), _u12490))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12491) | ( hAPP(c_Set_Oimage(_u12491, _u12491, c_Groups_Ouminus__class_Ouminus(_u12491)), hAPP(c_SetInterval_Oord__class_OatMost(_u12491), _u12492)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12491), hAPP(c_Groups_Ouminus__class_Ouminus(_u12491), _u12492))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12493)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u12493)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u12493), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u12494) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12494), _u12495), _u12496)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12494, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12494, _u12495, _u12496)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12494), _u12496)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12494), _u12495)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u12497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12497), _u12498), _u12499)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12497, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12497, _u12498, _u12499)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12497), _u12499)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12497), _u12498)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u12500) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12500, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12500), _u12501), c_Orderings_Obot__class_Obot(tc_fun(_u12500, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12500), _u12501)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12500), _u12501)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12502)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12502)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12503) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12504) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12505)) | ( _u12504 = _u12505) )).
% 13.05/13.27 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12503) | ( _u12504 != _u12505) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12504) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12505)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u12506) | ~hBOOL(hAPP(hAPP(c_member(_u12506), _u12507), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12506), _u12508))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12506), _u12508), _u12507)) )).
% 13.05/13.27 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u12506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12506), _u12508), _u12507)) | hBOOL(hAPP(hAPP(c_member(_u12506), _u12507), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12506), _u12508))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12509, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12510)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12511))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12509), _u12511), _u12510)) )).
% 13.05/13.27 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12509), _u12511), _u12510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12509, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12510)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12511))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u12512) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12512, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12512), _u12513)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12512), _u12513)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u12514) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12514, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12514), _u12515)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12514), _u12515)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u12516) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12516, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12516, _u12517, _u12518)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12516), _u12518)) = c_Orderings_Obot__class_Obot(tc_fun(_u12516, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u12519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12519), _u12520), _u12521)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12519, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12519, _u12520, _u12521)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12519), _u12521)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12519), _u12520)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12522) | ( hAPP(c_Set_Oimage(_u12522, _u12522, c_Groups_Ouminus__class_Ouminus(_u12522)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12522), _u12523)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12522), hAPP(c_Groups_Ouminus__class_Ouminus(_u12522), _u12523))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12524) | ( hAPP(c_Set_Oimage(_u12524, _u12524, c_Groups_Ouminus__class_Ouminus(_u12524)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12524), _u12525)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12524), hAPP(c_Groups_Ouminus__class_Ouminus(_u12524), _u12525))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u12526) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12526, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12526, _u12527, _u12528)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12526), _u12528)) = c_Orderings_Obot__class_Obot(tc_fun(_u12526, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12529)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12529)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12529)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12531) | ~class_Groups_Ocomm__monoid__mult(_u12531) | ( _u12532 != _u12533) | ~c_Nat__Transfer_Onat__set(_u12533) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12534), _u12532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12535), _u12533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem270(_u12535, _u12534, _u12533, _u12532, _u12531))) )).
% 13.05/13.27 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12531) | ~class_Groups_Ocomm__monoid__mult(_u12531) | ( _u12532 != _u12533) | ~c_Nat__Transfer_Onat__set(_u12533) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12534), _u12532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12535), _u12533)) | ( hAPP(_u12534, skolem270(_u12535, _u12534, _u12533, _u12532, _u12531)) != hAPP(_u12535, skolem270(_u12535, _u12534, _u12533, _u12532, _u12531))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__eq__singleton__conv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__eq__singleton__conv-1, axiom, ( ( c_Map_Odom(_u12542, _u12544, _u12546) != hAPP(hAPP(c_Set_Oinsert(_u12542), _u12548), c_Orderings_Obot__class_Obot(tc_fun(_u12542, tc_HOL_Obool)))) | ( _u12546 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12542, tc_Option_Ooption(_u12544)), hAPP(c_COMBK(tc_Option_Ooption(_u12544), _u12542), c_Option_Ooption_ONone(_u12544))), _u12548), hAPP(c_Option_Ooption_OSome(_u12544), skolem271(_u12548, _u12546, _u12544, _u12542)))) )).
% 13.05/13.27 cnf(fact_dom__eq__singleton__conv-2, axiom, ( ( _u12547 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12543, tc_Option_Ooption(_u12545)), hAPP(c_COMBK(tc_Option_Ooption(_u12545), _u12543), c_Option_Ooption_ONone(_u12545))), _u12549), hAPP(c_Option_Ooption_OSome(_u12545), _u12537))) | ( c_Map_Odom(_u12543, _u12545, _u12547) = hAPP(hAPP(c_Set_Oinsert(_u12543), _u12549), c_Orderings_Obot__class_Obot(tc_fun(_u12543, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u12550) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12550, _u12550, c_Groups_Otimes__class_Otimes(_u12550), _u12551, _u12552), _u12553)) | ~hBOOL(hAPP(hAPP(c_member(_u12550), _u12554), _u12552)) | hBOOL(hAPP(hAPP(c_member(_u12550), _u12551), _u12552)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12550, _u12550, c_Groups_Otimes__class_Otimes(_u12550), _u12554, hAPP(hAPP(c_Set_Oinsert(_u12550), _u12551), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12550, tc_HOL_Obool)), _u12552), hAPP(hAPP(c_Set_Oinsert(_u12550), _u12554), c_Orderings_Obot__class_Obot(tc_fun(_u12550, tc_HOL_Obool)))))), _u12553)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u12559 = _u12558) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12555, _u12556, _u12557, _u12558, c_Orderings_Obot__class_Obot(tc_fun(_u12555, tc_HOL_Obool))), _u12559)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12560, _u12561, _u12562, _u12563, c_Orderings_Obot__class_Obot(tc_fun(_u12560, tc_HOL_Obool))), _u12563)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12564, _u12565, _u12566, _u12567, c_Orderings_Obot__class_Obot(tc_fun(_u12564, tc_HOL_Obool))), _u12567)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__dom__body ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__dom__body-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12568, _u12569, _u12570, _u12571, _u12572), _u12573)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_domIff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_domIff-1, axiom, ( ( hAPP(_u12584, _u12580) != c_Option_Ooption_ONone(_u12582)) | ~hBOOL(hAPP(hAPP(c_member(_u12578), _u12580), c_Map_Odom(_u12578, _u12582, _u12584))) )).
% 13.05/13.27 cnf(fact_domIff-2, axiom, ( ( hAPP(_u12585, _u12581) = c_Option_Ooption_ONone(_u12583)) | hBOOL(hAPP(hAPP(c_member(_u12579), _u12581), c_Map_Odom(_u12579, _u12583, _u12585))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_domI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_domI-1, axiom, ( ( hAPP(_u12586, _u12587) != hAPP(c_Option_Ooption_OSome(_u12588), _u12589)) | hBOOL(hAPP(hAPP(c_member(_u12590), _u12587), c_Map_Odom(_u12590, _u12588, _u12586))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_insert__dom ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_insert__dom-1, axiom, ( ( hAPP(_u12591, _u12592) != hAPP(c_Option_Ooption_OSome(_u12593), _u12594)) | ( hAPP(hAPP(c_Set_Oinsert(_u12595), _u12592), c_Map_Odom(_u12595, _u12593, _u12591)) = c_Map_Odom(_u12595, _u12593, _u12591)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__restrict ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__restrict-1, axiom, ( ( c_Map_Odom(_u12596, _u12597, c_Map_Orestrict__map(_u12596, _u12597, _u12598, _u12599)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12596, tc_HOL_Obool)), c_Map_Odom(_u12596, _u12597, _u12598)), _u12599)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12600), _u12601), _u12602)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12600, _u12603, _u12604, _u12605, _u12602), _u12606)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12600, _u12603, _u12604, _u12605, hAPP(hAPP(c_Set_Oinsert(_u12600), _u12601), _u12602)), hAPP(hAPP(_u12604, _u12601), _u12606))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__empty-1, axiom, ( ( c_Map_Odom(_u12607, _u12608, hAPP(c_COMBK(tc_Option_Ooption(_u12608), _u12607), c_Option_Ooption_ONone(_u12608))) = c_Orderings_Obot__class_Obot(tc_fun(_u12607, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__eq__empty__conv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__eq__empty__conv-1, axiom, ( ( c_Map_Odom(_u12612, _u12614, _u12616) != c_Orderings_Obot__class_Obot(tc_fun(_u12612, tc_HOL_Obool))) | ( _u12616 = hAPP(c_COMBK(tc_Option_Ooption(_u12614), _u12612), c_Option_Ooption_ONone(_u12614))) )).
% 13.05/13.27 cnf(fact_dom__eq__empty__conv-2, axiom, ( ( _u12617 != hAPP(c_COMBK(tc_Option_Ooption(_u12615), _u12613), c_Option_Ooption_ONone(_u12615))) | ( c_Map_Odom(_u12613, _u12615, _u12617) = c_Orderings_Obot__class_Obot(tc_fun(_u12613, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__minus ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__minus-1, axiom, ( ( hAPP(_u12618, _u12619) != c_Option_Ooption_ONone(_u12620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12621, tc_HOL_Obool)), c_Map_Odom(_u12621, _u12620, _u12618)), hAPP(hAPP(c_Set_Oinsert(_u12621), _u12619), _u12622)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12621, tc_HOL_Obool)), c_Map_Odom(_u12621, _u12620, _u12618)), _u12622)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u12623) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12623, _u12623, c_Groups_Otimes__class_Otimes(_u12623), _u12624, _u12625), _u12626)) | hBOOL(hAPP(hAPP(c_member(_u12623), _u12624), _u12625)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12623, _u12623, c_Groups_Otimes__class_Otimes(_u12623), _u12627, hAPP(hAPP(c_Set_Oinsert(_u12623), _u12624), _u12625)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12623), _u12627), _u12626))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12628, _u12629, _u12630, _u12631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12628, tc_HOL_Obool)), _u12632), hAPP(hAPP(c_Set_Oinsert(_u12628), _u12633), c_Orderings_Obot__class_Obot(tc_fun(_u12628, tc_HOL_Obool))))), _u12634)) | ~hBOOL(hAPP(hAPP(c_member(_u12628), _u12633), _u12632)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12628, _u12629, _u12630, _u12631, _u12632), hAPP(hAPP(_u12630, _u12633), _u12634))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__fun__upd ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__fun__upd-1, axiom, ( ( _u12640 != c_Option_Ooption_ONone(_u12642)) | ( c_Map_Odom(_u12644, _u12642, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12644, tc_Option_Ooption(_u12642)), _u12646), _u12648), _u12640)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12644, tc_HOL_Obool)), c_Map_Odom(_u12644, _u12642, _u12646)), hAPP(hAPP(c_Set_Oinsert(_u12644), _u12648), c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))))) )).
% 13.05/13.27 cnf(fact_dom__fun__upd-2, axiom, ( ( _u12641 = c_Option_Ooption_ONone(_u12643)) | ( c_Map_Odom(_u12645, _u12643, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12645, tc_Option_Ooption(_u12643)), _u12647), _u12649), _u12641)) = hAPP(hAPP(c_Set_Oinsert(_u12645), _u12649), c_Map_Odom(_u12645, _u12643, _u12647))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12650, _u12650, _u12651, _u12652, _u12653), _u12654)) | hBOOL(hAPP(hAPP(c_member(_u12650), _u12652), _u12653)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12650, _u12651, hAPP(hAPP(c_Set_Oinsert(_u12650), _u12652), _u12653)), _u12654)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ran__restrictD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ran__restrictD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12656), _u12657), c_Map_Oran(_u12658, _u12656, c_Map_Orestrict__map(_u12658, _u12656, _u12659, _u12660)))) | hBOOL(hAPP(hAPP(c_member(_u12658), skolem272(_u12660, _u12659, _u12658, _u12657, _u12656)), _u12660)) )).
% 13.05/13.27 cnf(fact_ran__restrictD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12656), _u12657), c_Map_Oran(_u12658, _u12656, c_Map_Orestrict__map(_u12658, _u12656, _u12659, _u12660)))) | ( hAPP(_u12659, skolem272(_u12660, _u12659, _u12658, _u12657, _u12656)) = hAPP(c_Option_Ooption_OSome(_u12656), _u12657)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12661) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12661), _u12662), _u12663) != c_Orderings_Obot__class_Obot(_u12661)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12661), _u12662), _u12663) != c_Orderings_Otop__class_Otop(_u12661)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12661), _u12662) = _u12663) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12664), _u12665), c_Orderings_Otop__class_Otop(tc_fun(_u12664, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UNIV__option__conv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UNIV__option__conv-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u12666), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u12666)), c_Option_Ooption_ONone(_u12666)), hAPP(c_Set_Oimage(_u12666, tc_Option_Ooption(_u12666), c_Option_Ooption_OSome(_u12666)), c_Orderings_Otop__class_Otop(tc_fun(_u12666, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u12667, _u12668, hAPP(hAPP(c_COMBB(_u12669, _u12668, _u12667), _u12670), _u12671)), c_Orderings_Otop__class_Otop(tc_fun(_u12667, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u12669, _u12668, _u12670), hAPP(c_Set_Oimage(_u12667, _u12669, _u12671), c_Orderings_Otop__class_Otop(tc_fun(_u12667, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 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))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 13.05/13.27 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))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_injD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_injD-1, axiom, ( ( hAPP(_u12674, _u12675) != hAPP(_u12674, _u12676)) | ( _u12675 = _u12676) | ~c_Fun_Oinj__on(_u12672, _u12673, _u12674, c_Orderings_Otop__class_Otop(tc_fun(_u12672, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u12677, _u12678, _u12679, c_Orderings_Otop__class_Otop(tc_fun(_u12677, tc_HOL_Obool))) | ( hAPP(_u12679, _u12680) != hAPP(_u12679, _u12681)) | ( _u12680 = _u12681) )).
% 13.05/13.27 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u12677, _u12678, _u12679, c_Orderings_Otop__class_Otop(tc_fun(_u12677, tc_HOL_Obool))) | ( _u12680 != _u12681) | ( hAPP(_u12679, _u12680) = hAPP(_u12679, _u12681)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12682) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12682), _u12683), _u12684) != c_Orderings_Otop__class_Otop(_u12682)) | ( _u12683 = c_Orderings_Otop__class_Otop(_u12682)) )).
% 13.05/13.27 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12682) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12682), _u12683), _u12684) != c_Orderings_Otop__class_Otop(_u12682)) | ( _u12684 = c_Orderings_Otop__class_Otop(_u12682)) )).
% 13.05/13.27 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12682) | ( _u12683 != c_Orderings_Otop__class_Otop(_u12682)) | ( _u12684 != c_Orderings_Otop__class_Otop(_u12682)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12682), _u12683), _u12684) = c_Orderings_Otop__class_Otop(_u12682)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12685) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12685), _u12686), c_Orderings_Otop__class_Otop(_u12685)) = _u12686) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12687) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12687), c_Orderings_Otop__class_Otop(_u12687)), _u12688) = _u12688) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12689), c_Orderings_Otop__class_Otop(tc_fun(_u12689, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12690), c_Orderings_Otop__class_Otop(tc_fun(_u12690, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12689, _u12690)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12689, _u12690), tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12692), c_Orderings_Otop__class_Otop(tc_fun(_u12692, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12691, _u12692)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12691, _u12692), tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u12695, _u12697)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12695, _u12697), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12695), c_Orderings_Otop__class_Otop(tc_fun(_u12695, tc_HOL_Obool)))) )).
% 13.05/13.27 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u12695, _u12697)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12695, _u12697), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12697), c_Orderings_Otop__class_Otop(tc_fun(_u12697, tc_HOL_Obool)))) )).
% 13.05/13.27 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12696), c_Orderings_Otop__class_Otop(tc_fun(_u12696, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12698), c_Orderings_Otop__class_Otop(tc_fun(_u12698, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u12696, _u12698)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12696, _u12698), tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12700)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u12700), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12700), c_Orderings_Otop__class_Otop(tc_fun(_u12700, tc_HOL_Obool)))) )).
% 13.05/13.27 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12701), c_Orderings_Otop__class_Otop(tc_fun(_u12701, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12701)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u12701), tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 13.05/13.27 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)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u12702) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12702), c_Orderings_Otop__class_Otop(tc_fun(_u12702, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 13.05/13.27 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)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12703, tc_HOL_Obool)), _u12704), c_Orderings_Otop__class_Otop(tc_fun(_u12703, tc_HOL_Obool))) = _u12704) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12705, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12705, tc_HOL_Obool))), _u12706) = _u12706) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12707, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12707, tc_HOL_Obool))), _u12708) = c_Orderings_Otop__class_Otop(tc_fun(_u12707, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12709, tc_HOL_Obool)), _u12710), c_Orderings_Otop__class_Otop(tc_fun(_u12709, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12709, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12711, tc_HOL_Obool)), _u12712), c_Orderings_Otop__class_Otop(tc_fun(_u12711, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u12713) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12713), _u12714), c_Orderings_Otop__class_Otop(_u12713))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12715) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12715), _u12716), c_Orderings_Otop__class_Otop(_u12715)) = c_Orderings_Otop__class_Otop(_u12715)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u12717) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12717), c_Orderings_Otop__class_Otop(_u12717)), _u12718) = c_Orderings_Otop__class_Otop(_u12717)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 13.05/13.27 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) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u12719) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u12720, _u12719)), _u12721) = c_Orderings_Otop__class_Otop(_u12719)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12722, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u12722, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u12723, _u12724, c_Orderings_Otop__class_Otop(tc_fun(_u12723, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12724, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12723, _u12724), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u12725), c_Orderings_Otop__class_Otop(tc_fun(_u12725, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12725, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 13.05/13.27 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)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 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))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12726, _u12727, _u12728), _u12729)) | ( _u12728 != c_Orderings_Obot__class_Obot(tc_fun(_u12726, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12730, _u12731, c_Orderings_Obot__class_Obot(tc_fun(_u12730, tc_HOL_Obool))), _u12732)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_range__eqI-1, axiom, ( ( _u12733 != hAPP(_u12734, _u12735)) | hBOOL(hAPP(hAPP(c_member(_u12736), _u12733), hAPP(c_Set_Oimage(_u12737, _u12736, _u12734), c_Orderings_Otop__class_Otop(tc_fun(_u12737, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12738), hAPP(_u12739, _u12740)), hAPP(c_Set_Oimage(_u12741, _u12738, _u12739), c_Orderings_Otop__class_Otop(tc_fun(_u12741, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 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))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12742, tc_HOL_Obool)), _u12743), c_Orderings_Otop__class_Otop(tc_fun(_u12742, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12744), c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u12744), _u12745) != hAPP(c_Finite__Set_Ocard(_u12744), c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool)))) | ( _u12745 = c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u12746, _u12747, _u12748, c_Orderings_Otop__class_Otop(tc_fun(_u12746, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12749) != hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12750)) | ( _u12749 = _u12750) )).
% 13.05/13.27 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u12746, _u12747, _u12748, c_Orderings_Otop__class_Otop(tc_fun(_u12746, tc_HOL_Obool))) | ( _u12749 != _u12750) | ( hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12749) = hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12750)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12751, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12751, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12752, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12752, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12752, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), _u12754)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12753, tc_HOL_Obool)), _u12754))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool)))) )).
% 13.05/13.27 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), _u12754)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12753, tc_HOL_Obool)), _u12754))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12755, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12755, tc_HOL_Obool)), _u12756)), _u12756) = c_Orderings_Otop__class_Otop(tc_fun(_u12755, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12757, tc_HOL_Obool)), _u12758), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12757, tc_HOL_Obool)), _u12758)) = c_Orderings_Otop__class_Otop(tc_fun(_u12757, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12759, tc_HOL_Obool)), _u12760) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12759, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12759, tc_HOL_Obool))), _u12760)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12761), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12762), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u12761) != hAPP(c_Code__Numeral_Oof__nat, _u12762)) | ( _u12761 = _u12762) )).
% 13.05/13.27 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12761), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12762), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u12761 != _u12762) | ( hAPP(c_Code__Numeral_Oof__nat, _u12761) = hAPP(c_Code__Numeral_Oof__nat, _u12762)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12767, tc_fun(_u12769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12767, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12769, tc_HOL_Obool), tc_fun(_u12769, tc_HOL_Obool), _u12767), hAPP(c_COMBC(_u12769, tc_fun(_u12769, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12769))), _u12771)), _u12773)) | hBOOL(hAPP(hAPP(c_member(_u12769), _u12773), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12767, tc_fun(_u12769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12767, tc_HOL_Obool))), _u12771))) )).
% 13.05/13.27 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12770), _u12774), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12768, tc_fun(_u12770, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12768, tc_HOL_Obool))), _u12772))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12768, tc_fun(_u12770, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12768, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12770, tc_HOL_Obool), tc_fun(_u12770, tc_HOL_Obool), _u12768), hAPP(c_COMBC(_u12770, tc_fun(_u12770, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12770))), _u12772)), _u12774)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12775), hAPP(c_Set_Oimage(_u12776, _u12775, _u12777), c_Orderings_Otop__class_Otop(tc_fun(_u12776, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12778), hAPP(c_Set_Oimage(_u12776, _u12778, hAPP(hAPP(c_COMBB(_u12775, _u12778, _u12776), _u12779), _u12777)), c_Orderings_Otop__class_Otop(tc_fun(_u12776, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u12780)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u12781, _u12782, _u12783, c_Orderings_Otop__class_Otop(tc_fun(_u12781, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u12781, _u12782, c_Orderings_Otop__class_Otop(tc_fun(_u12781, tc_HOL_Obool)), _u12783), hAPP(_u12783, _u12784)) = _u12784) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12785, _u12786)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12785, _u12786), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u12786), c_Orderings_Otop__class_Otop(tc_fun(_u12786, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12785), c_Orderings_Otop__class_Otop(tc_fun(_u12785, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u12787) | c_Fun_Oinj__on(tc_Nat_Onat, _u12787, c_Nat_Osemiring__1__class_Oof__nat(_u12787), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__const ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__const-1, axiom, ( ( c_Map_Odom(_u12788, _u12789, hAPP(hAPP(c_COMBB(_u12789, tc_Option_Ooption(_u12789), _u12788), c_Option_Ooption_OSome(_u12789)), _u12790)) = c_Orderings_Otop__class_Otop(tc_fun(_u12788, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 13.05/13.27 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))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u12791, _u12792, _u12793, c_Orderings_Otop__class_Otop(tc_fun(_u12791, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12791, tc_fun(_u12794, _u12792), hAPP(hAPP(c_COMBB(_u12792, tc_fun(_u12794, _u12792), _u12791), c_COMBK(_u12792, _u12794)), _u12793), c_Orderings_Otop__class_Otop(tc_fun(_u12791, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12795) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12795), c_Orderings_Obot__class_Obot(_u12795)) = c_Orderings_Otop__class_Otop(_u12795)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12796) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12796), c_Orderings_Otop__class_Otop(_u12796)) = c_Orderings_Obot__class_Obot(_u12796)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12797) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12797), hAPP(c_Groups_Ouminus__class_Ouminus(_u12797), _u12798)), _u12798) = c_Orderings_Otop__class_Otop(_u12797)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u12799) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12799), _u12800), hAPP(c_Groups_Ouminus__class_Ouminus(_u12799), _u12800)) = c_Orderings_Otop__class_Otop(_u12799)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u12801, _u12802, _u12803, c_Orderings_Otop__class_Otop(tc_fun(_u12801, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12802), hAPP(_u12803, _u12804)), hAPP(c_Set_Oimage(_u12801, _u12802, _u12803), _u12805))) | hBOOL(hAPP(hAPP(c_member(_u12801), _u12804), _u12805)) )).
% 13.05/13.27 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u12801, _u12802, _u12803, c_Orderings_Otop__class_Otop(tc_fun(_u12801, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12801), _u12804), _u12805)) | hBOOL(hAPP(hAPP(c_member(_u12802), hAPP(_u12803, _u12804)), hAPP(c_Set_Oimage(_u12801, _u12802, _u12803), _u12805))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 = hAPP(_u12812, skolem273(_u12813, _u12812, _u12811, _u12810))) )).
% 13.05/13.27 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 != hAPP(_u12812, _u12806)) | ( _u12806 = skolem273(_u12813, _u12812, _u12811, _u12810)) )).
% 13.05/13.27 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 != hAPP(_u12812, _u12809)) | ( _u12813 = hAPP(_u12812, skolem274(_u12813, _u12812, _u12811, _u12810, _u12809))) )).
% 13.05/13.27 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 != hAPP(_u12812, _u12809)) | ( skolem274(_u12813, _u12812, _u12811, _u12810, _u12809) != _u12809) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12814), c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u12814, _u12814, _u12815), c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12814, _u12814, _u12815, c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12816), c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u12816, _u12816, _u12817, c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12816, _u12816, _u12817), c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u12818, _u12819, _u12820, c_Orderings_Otop__class_Otop(tc_fun(_u12818, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12819, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12821)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12818, tc_HOL_Obool)), _u12821), _u12822)) )).
% 13.05/13.27 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u12818, _u12819, _u12820, c_Orderings_Otop__class_Otop(tc_fun(_u12818, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12818, tc_HOL_Obool)), _u12821), _u12822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12819, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12821)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12822))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u12823, _u12824, _u12825, c_Orderings_Otop__class_Otop(tc_fun(_u12823, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12823, _u12824, _u12825), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12823, tc_HOL_Obool)), _u12826), _u12827)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12824, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12823, _u12824, _u12825), _u12826)), hAPP(c_Set_Oimage(_u12823, _u12824, _u12825), _u12827))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u12828, _u12829, _u12830, c_Orderings_Otop__class_Otop(tc_fun(_u12828, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12828, _u12829, _u12830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12828, tc_HOL_Obool)), _u12831), _u12832)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12829, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12828, _u12829, _u12830), _u12831)), hAPP(c_Set_Oimage(_u12828, _u12829, _u12830), _u12832))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u12833, _u12834, _u12835), c_Orderings_Otop__class_Otop(tc_fun(_u12833, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12834, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12834, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12834, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12833, _u12834, _u12835), _u12836))), hAPP(c_Set_Oimage(_u12833, _u12834, _u12835), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12833, tc_HOL_Obool)), _u12836)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12837), 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, _u12837)) = _u12837) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1Set__sing-1, axiom, ( ( _u12846 = _u12848) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12842, _u12844, hAPP(hAPP(c_Set_Oinsert(_u12842), _u12846), c_Orderings_Obot__class_Obot(tc_fun(_u12842, tc_HOL_Obool)))), _u12848)) )).
% 13.05/13.27 cnf(fact_fold1Set__sing-2, axiom, ( ( _u12847 != _u12849) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12843, _u12845, hAPP(hAPP(c_Set_Oinsert(_u12843), _u12847), c_Orderings_Obot__class_Obot(tc_fun(_u12843, tc_HOL_Obool)))), _u12849)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__range__updI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__range__updI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12850)), hAPP(c_Set_Oimage(_u12851, tc_Option_Ooption(_u12850), _u12852), c_Orderings_Otop__class_Otop(tc_fun(_u12851, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12850)), hAPP(c_Set_Oimage(_u12851, tc_Option_Ooption(_u12850), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12851, tc_Option_Ooption(_u12850)), _u12852), _u12853), hAPP(c_Option_Ooption_OSome(_u12850), _u12854))), c_Orderings_Otop__class_Otop(tc_fun(_u12851, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12855, 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(_u12855, tc_HOL_Obool)), tc_fun(_u12855, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u12855, tc_HOL_Obool)), tc_fun(_u12855, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12855, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u12856)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12855, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12856)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u12857, tc_fun(_u12857, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12857, tc_fun(_u12857, tc_HOL_Obool), tc_fun(_u12857, tc_HOL_Obool)), c_Set_Oinsert(_u12857)), c_Orderings_Obot__class_Obot(tc_fun(_u12857, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12857, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), c_Orderings_Otop__class_Otop(tc_fun(_u12858, 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(_u12858), c_Orderings_Otop__class_Otop(tc_fun(_u12858, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 13.05/13.27 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)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u12859, _u12860, _u12861, c_Orderings_Otop__class_Otop(tc_fun(_u12859, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12860, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12859, _u12860, _u12861), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12859, tc_HOL_Obool)), _u12862))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12860, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12859, _u12860, _u12861), _u12862)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 13.05/13.27 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)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12869, tc_fun(_u12871, tc_fun(_u12873, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12869, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_fun(_u12871, tc_fun(_u12873, tc_HOL_Obool)), _u12869), hAPP(c_COMBC(_u12871, tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_fun(_u12873, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12873, tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_fun(_u12873, tc_HOL_Obool)), _u12871), c_COMBC(_u12873, tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12873, tc_prod(_u12871, _u12873)), tc_fun(_u12873, tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool)), _u12871), hAPP(c_COMBB(tc_prod(_u12871, _u12873), tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool), _u12873), c_member(tc_prod(_u12871, _u12873)))), c_Product__Type_OPair(_u12871, _u12873))))), _u12875)), _u12877), _u12879)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12871, _u12873)), hAPP(hAPP(c_Product__Type_OPair(_u12871, _u12873), _u12877), _u12879)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12869, tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12869, tc_HOL_Obool))), _u12875))) )).
% 13.05/13.27 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12872, _u12874)), hAPP(hAPP(c_Product__Type_OPair(_u12872, _u12874), _u12878), _u12880)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12870, tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12870, tc_HOL_Obool))), _u12876))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12870, tc_fun(_u12872, tc_fun(_u12874, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12870, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_fun(_u12872, tc_fun(_u12874, tc_HOL_Obool)), _u12870), hAPP(c_COMBC(_u12872, tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_fun(_u12874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12874, tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_fun(_u12874, tc_HOL_Obool)), _u12872), c_COMBC(_u12874, tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12874, tc_prod(_u12872, _u12874)), tc_fun(_u12874, tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool)), _u12872), hAPP(c_COMBB(tc_prod(_u12872, _u12874), tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool), _u12874), c_member(tc_prod(_u12872, _u12874)))), c_Product__Type_OPair(_u12872, _u12874))))), _u12876)), _u12878), _u12880)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem275(_u12885, _u12884, _u12883, _u12882))), _u12883)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, 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), skolem275(_u12885, _u12884, _u12883, _u12882)), _u12884))), _u12885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12883)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12885))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem276(_u12890, _u12889, _u12888, _u12887))), _u12888) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, 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), skolem276(_u12890, _u12889, _u12888, _u12887)), _u12889))), _u12890)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12888) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12890)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12892, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12892, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem277(_u12894, _u12893, _u12892))), _u12893)), _u12894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12892, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12892, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12893)), _u12894)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_top1I ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u12895, tc_HOL_Obool)), _u12896)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 13.05/13.27 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)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12897), _u12898), c_Orderings_Otop__class_Otop(tc_fun(_u12897, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12901, c_Orderings_Otop__class_Otop(tc_fun(_u12901, tc_HOL_Obool)), _u12903) | c_Equiv__Relations_Oequivp(_u12901, hAPP(hAPP(c_COMBC(_u12901, tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_fun(_u12901, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12901, tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_fun(_u12901, tc_HOL_Obool)), _u12901), c_COMBC(_u12901, tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12901, tc_prod(_u12901, _u12901)), tc_fun(_u12901, tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool)), _u12901), hAPP(c_COMBB(tc_prod(_u12901, _u12901), tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool), _u12901), c_member(tc_prod(_u12901, _u12901)))), c_Product__Type_OPair(_u12901, _u12901)))), _u12903)) )).
% 13.05/13.27 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12902, hAPP(hAPP(c_COMBC(_u12902, tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_fun(_u12902, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12902, tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_fun(_u12902, tc_HOL_Obool)), _u12902), c_COMBC(_u12902, tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12902, tc_prod(_u12902, _u12902)), tc_fun(_u12902, tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool)), _u12902), hAPP(c_COMBB(tc_prod(_u12902, _u12902), tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool), _u12902), c_member(tc_prod(_u12902, _u12902)))), c_Product__Type_OPair(_u12902, _u12902)))), _u12904)) | c_Equiv__Relations_Oequiv(_u12902, c_Orderings_Otop__class_Otop(tc_fun(_u12902, tc_HOL_Obool)), _u12904) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12906, _u12907), _u12908)) | ~hBOOL(hAPP(hAPP(_u12906, _u12908), _u12909)) | hBOOL(hAPP(hAPP(_u12906, _u12907), _u12909)) | ~c_Equiv__Relations_Oequivp(_u12905, _u12906) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12911, _u12912), _u12913)) | hBOOL(hAPP(hAPP(_u12911, _u12913), _u12912)) | ~c_Equiv__Relations_Oequivp(_u12910, _u12911) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u12915, _u12916), _u12916)) | ~c_Equiv__Relations_Oequivp(_u12914, _u12915) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u12931, _u12933) | ~hBOOL(hAPP(hAPP(_u12933, _u12925), _u12923)) | ( hAPP(_u12933, _u12925) = hAPP(_u12933, _u12923)) )).
% 13.05/13.27 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12931, _u12933) | ( hAPP(_u12933, _u12926) != hAPP(_u12933, _u12924)) | hBOOL(hAPP(hAPP(_u12933, _u12926), _u12924)) )).
% 13.05/13.27 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | hBOOL(hAPP(hAPP(_u12934, skolem278(_u12934)), skolem279(_u12934))) | ( hAPP(_u12934, skolem280(_u12934)) = hAPP(_u12934, skolem281(_u12934))) )).
% 13.05/13.27 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | hBOOL(hAPP(hAPP(_u12934, skolem278(_u12934)), skolem279(_u12934))) | ~hBOOL(hAPP(hAPP(_u12934, skolem280(_u12934)), skolem281(_u12934))) )).
% 13.05/13.27 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | ( hAPP(_u12934, skolem278(_u12934)) != hAPP(_u12934, skolem279(_u12934))) | ( hAPP(_u12934, skolem280(_u12934)) = hAPP(_u12934, skolem281(_u12934))) )).
% 13.05/13.27 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | ( hAPP(_u12934, skolem278(_u12934)) != hAPP(_u12934, skolem279(_u12934))) | ~hBOOL(hAPP(hAPP(_u12934, skolem280(_u12934)), skolem281(_u12934))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u12935, c_fequal) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 13.05/13.27 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, _u12936)), c_Int_OInteg)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 13.05/13.27 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) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u12937, _u12938, _u12939, c_Orderings_Otop__class_Otop(tc_fun(_u12937, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12937, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12937, _u12938, _u12939), hAPP(hAPP(c_Set_Oinsert(_u12938), _u12940), c_Orderings_Obot__class_Obot(tc_fun(_u12938, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u12937), c_HOL_OThe(_u12937, hAPP(hAPP(c_COMBC(_u12937, _u12938, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12938, tc_fun(_u12938, tc_HOL_Obool), _u12937), c_fequal), _u12939)), _u12940))), c_Orderings_Obot__class_Obot(tc_fun(_u12937, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12942) | ~class_Groups_Ocomm__monoid__mult(_u12942) | ( _u12943 != _u12944) | ~c_Nat__Transfer_Onat__set(_u12944) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12945), _u12943) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12946), _u12944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem282(_u12946, _u12945, _u12944, _u12943, _u12942))) )).
% 13.05/13.27 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12942) | ~class_Groups_Ocomm__monoid__mult(_u12942) | ( _u12943 != _u12944) | ~c_Nat__Transfer_Onat__set(_u12944) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12945), _u12943) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12946), _u12944)) | ( hAPP(_u12945, skolem282(_u12946, _u12945, _u12944, _u12943, _u12942)) != hAPP(_u12946, skolem282(_u12946, _u12945, _u12944, _u12943, _u12942))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u12947, _u12948) != _u12949) | ~hBOOL(hAPP(hAPP(c_member(_u12950), _u12949), _u12951)) | hBOOL(hAPP(hAPP(c_member(_u12952), _u12948), hAPP(c_Set_Ovimage(_u12952, _u12950, _u12947), _u12951))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12953, _u12954, _u12955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12954, tc_HOL_Obool)), _u12956), _u12957)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12953, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12953, _u12954, _u12955), _u12956)), hAPP(c_Set_Ovimage(_u12953, _u12954, _u12955), _u12957))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12958, _u12958, c_COMBI(_u12958)), _u12959) = _u12959) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12960, _u12961, _u12962), c_Orderings_Obot__class_Obot(tc_fun(_u12961, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12960, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u12974, hAPP(_u12972, _u12976))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12968, _u12970, _u12972), _u12974), _u12976)) )).
% 13.05/13.27 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u12975, hAPP(_u12973, _u12977))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12969, _u12971, _u12973), _u12975), _u12977)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12978, _u12979, _u12980), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12979, tc_HOL_Obool)), _u12981)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12978, _u12979, _u12980), _u12981))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12982), hAPP(_u12983, _u12984)), _u12985)) | hBOOL(hAPP(hAPP(c_member(_u12986), _u12984), hAPP(c_Set_Ovimage(_u12986, _u12982, _u12983), _u12985))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12989), hAPP(_u12990, _u12988)), _u12991)) | ~hBOOL(hAPP(hAPP(c_member(_u12987), _u12988), hAPP(c_Set_Ovimage(_u12987, _u12989, _u12990), _u12991))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13001), hAPP(_u13003, _u12999)), _u13005)) | ~hBOOL(hAPP(hAPP(c_member(_u12997), _u12999), hAPP(c_Set_Ovimage(_u12997, _u13001, _u13003), _u13005))) )).
% 13.05/13.27 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13002), hAPP(_u13004, _u13000)), _u13006)) | hBOOL(hAPP(hAPP(c_member(_u12998), _u13000), hAPP(c_Set_Ovimage(_u12998, _u13002, _u13004), _u13006))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13007, tc_HOL_Obool)), _u13008), _u13009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13010, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13010, _u13007, _u13011), _u13008)), hAPP(c_Set_Ovimage(_u13010, _u13007, _u13011), _u13009))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13012, _u13013, _u13014), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13013, tc_HOL_Obool)), _u13015), _u13016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13012, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13012, _u13013, _u13014), _u13015)), hAPP(c_Set_Ovimage(_u13012, _u13013, _u13014), _u13016))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13017, _u13018, _u13019), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13018, tc_HOL_Obool)), _u13020), _u13021)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13017, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13017, _u13018, _u13019), _u13020)), hAPP(c_Set_Ovimage(_u13017, _u13018, _u13019), _u13021))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13022, _u13023, _u13024), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(_u13023, tc_HOL_Obool)), _u13026), _u13027)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(_u13022, tc_HOL_Obool)), _u13026), hAPP(hAPP(c_COMBB(tc_fun(_u13023, tc_HOL_Obool), tc_fun(_u13022, tc_HOL_Obool), _u13025), c_Set_Ovimage(_u13022, _u13023, _u13024)), _u13027))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13028, _u13029, _u13030), c_Orderings_Otop__class_Otop(tc_fun(_u13029, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13028, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13031, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13032, _u13031, _u13033), hAPP(c_Set_Ovimage(_u13032, _u13031, _u13033), _u13034))), _u13034)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u13035, _u13036, _u13037), c_Orderings_Otop__class_Otop(tc_fun(_u13035, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13035, _u13036, _u13037), hAPP(c_Set_Ovimage(_u13035, _u13036, _u13037), _u13038)) = _u13038) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u13050, _u13046) = _u13052) | ~hBOOL(hAPP(hAPP(c_member(_u13044), _u13046), hAPP(c_Set_Ovimage(_u13044, _u13048, _u13050), hAPP(hAPP(c_Set_Oinsert(_u13048), _u13052), c_Orderings_Obot__class_Obot(tc_fun(_u13048, tc_HOL_Obool)))))) )).
% 13.05/13.27 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u13051, _u13047) != _u13053) | hBOOL(hAPP(hAPP(c_member(_u13045), _u13047), hAPP(c_Set_Ovimage(_u13045, _u13049, _u13051), hAPP(hAPP(c_Set_Oinsert(_u13049), _u13053), c_Orderings_Obot__class_Obot(tc_fun(_u13049, tc_HOL_Obool)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13054, _u13055, _u13056), hAPP(hAPP(c_Set_Oinsert(_u13055), _u13057), _u13058)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13054, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13054, _u13055, _u13056), hAPP(hAPP(c_Set_Oinsert(_u13055), _u13057), c_Orderings_Obot__class_Obot(tc_fun(_u13055, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u13054, _u13055, _u13056), _u13058))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13059), hAPP(c_Set_Ovimage(_u13059, _u13060, _u13061), _u13062))) | ( hAPP(c_Set_Oimage(_u13059, _u13060, _u13061), c_Orderings_Otop__class_Otop(tc_fun(_u13059, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13060, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13060), _u13062)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u13063, _u13064, _u13065), c_Orderings_Otop__class_Otop(tc_fun(_u13063, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13064, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13063, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13063, _u13064, _u13065), _u13066)), _u13067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13064, tc_HOL_Obool)), _u13066), hAPP(c_Set_Oimage(_u13063, _u13064, _u13065), _u13067))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), hAPP(c_Set_Ovimage(_u13068, _u13069, _u13070), _u13071)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13069, tc_HOL_Obool)), _u13071), hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), c_Orderings_Otop__class_Otop(tc_fun(_u13068, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13072), _u13073)) | ~c_Fun_Oinj__on(_u13074, _u13072, _u13075, c_Orderings_Otop__class_Otop(tc_fun(_u13074, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13074), hAPP(c_Set_Ovimage(_u13074, _u13072, _u13075), _u13073))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u13076, _u13077, _u13078, c_Orderings_Otop__class_Otop(tc_fun(_u13076, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u13076, _u13077, _u13078), hAPP(c_Set_Oimage(_u13076, _u13077, _u13078), _u13079)) = _u13079) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13084), _u13086), _u13088)) | ( hAPP(c_Set_Ovimage(_u13090, _u13084, hAPP(c_COMBK(_u13084, _u13090), _u13086)), _u13088) = c_Orderings_Otop__class_Otop(tc_fun(_u13090, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13085), _u13087), _u13089)) | ( hAPP(c_Set_Ovimage(_u13091, _u13085, hAPP(c_COMBK(_u13085, _u13091), _u13087)), _u13089) = c_Orderings_Obot__class_Obot(tc_fun(_u13091, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13092, _u13093, _u13094), _u13095) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13093, tc_fun(_u13092, tc_HOL_Obool)), _u13095), hAPP(hAPP(c_COMBB(tc_fun(_u13093, tc_HOL_Obool), tc_fun(_u13092, tc_HOL_Obool), _u13093), c_Set_Ovimage(_u13092, _u13093, _u13094)), hAPP(hAPP(c_COMBC(_u13093, tc_fun(_u13093, tc_HOL_Obool), tc_fun(_u13093, tc_HOL_Obool)), c_Set_Oinsert(_u13093)), c_Orderings_Obot__class_Obot(tc_fun(_u13093, tc_HOL_Obool)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u13096, _u13097, _u13098, c_Orderings_Otop__class_Otop(tc_fun(_u13096, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13097, tc_HOL_Obool)), _u13099), hAPP(c_Set_Oimage(_u13096, _u13097, _u13098), _u13100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13096, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13096, _u13097, _u13098), _u13099)), _u13100)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13107), _u13109), _u13111)) | ~hBOOL(hAPP(hAPP(c_member(_u13107), _u13113), _u13111)) | ( hAPP(c_Set_Ovimage(_u13115, _u13107, hAPP(hAPP(c_COMBC(_u13115, _u13107, _u13107), hAPP(hAPP(c_COMBC(_u13115, _u13107, tc_fun(_u13107, _u13107)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13107, tc_fun(_u13107, _u13107)), _u13115), c_If(_u13107)), hAPP(hAPP(c_COMBC(_u13115, tc_fun(_u13115, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13115)), _u13117))), _u13109)), _u13113)), _u13111) = c_Orderings_Otop__class_Otop(tc_fun(_u13115, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13107), _u13109), _u13111)) | hBOOL(hAPP(hAPP(c_member(_u13107), _u13113), _u13111)) | ( hAPP(c_Set_Ovimage(_u13115, _u13107, hAPP(hAPP(c_COMBC(_u13115, _u13107, _u13107), hAPP(hAPP(c_COMBC(_u13115, _u13107, tc_fun(_u13107, _u13107)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13107, tc_fun(_u13107, _u13107)), _u13115), c_If(_u13107)), hAPP(hAPP(c_COMBC(_u13115, tc_fun(_u13115, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13115)), _u13117))), _u13109)), _u13113)), _u13111) = _u13117) )).
% 13.05/13.27 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13108), _u13110), _u13112)) | ~hBOOL(hAPP(hAPP(c_member(_u13108), _u13114), _u13112)) | ( hAPP(c_Set_Ovimage(_u13116, _u13108, hAPP(hAPP(c_COMBC(_u13116, _u13108, _u13108), hAPP(hAPP(c_COMBC(_u13116, _u13108, tc_fun(_u13108, _u13108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13108, tc_fun(_u13108, _u13108)), _u13116), c_If(_u13108)), hAPP(hAPP(c_COMBC(_u13116, tc_fun(_u13116, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13116)), _u13118))), _u13110)), _u13114)), _u13112) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13116, tc_HOL_Obool)), _u13118)) )).
% 13.05/13.27 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13108), _u13110), _u13112)) | hBOOL(hAPP(hAPP(c_member(_u13108), _u13114), _u13112)) | ( hAPP(c_Set_Ovimage(_u13116, _u13108, hAPP(hAPP(c_COMBC(_u13116, _u13108, _u13108), hAPP(hAPP(c_COMBC(_u13116, _u13108, tc_fun(_u13108, _u13108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13108, tc_fun(_u13108, _u13108)), _u13116), c_If(_u13108)), hAPP(hAPP(c_COMBC(_u13116, tc_fun(_u13116, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13116)), _u13118))), _u13110)), _u13114)), _u13112) = c_Orderings_Obot__class_Obot(tc_fun(_u13116, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u13119, _u13120, _u13121, _u13122, _u13123) | ( hAPP(c_Set_Oimage(_u13119, _u13120, _u13121), c_Orderings_Otop__class_Otop(tc_fun(_u13119, tc_HOL_Obool))) = _u13123) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u13124, _u13125, _u13126, _u13127, _u13128) | ( hAPP(c_Set_Oimage(_u13125, _u13124, _u13127), _u13128) = c_Orderings_Otop__class_Otop(tc_fun(_u13124, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13130), hAPP(_u13131, _u13134)), _u13133)) | ~c_Typedef_Otype__definition(_u13129, _u13130, _u13131, _u13132, _u13133) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u13138, hAPP(_u13137, _u13140)) = _u13140) | ~c_Typedef_Otype__definition(_u13135, _u13136, _u13137, _u13138, _u13139) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u13141, _u13142, _u13143, _u13144, _u13145) | ( hAPP(_u13143, _u13146) != hAPP(_u13143, _u13147)) | ( _u13146 = _u13147) )).
% 13.05/13.27 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u13141, _u13142, _u13143, _u13144, _u13145) | ( _u13146 != _u13147) | ( hAPP(_u13143, _u13146) = hAPP(_u13143, _u13147)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 13.05/13.27 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))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u13148, _u13149, _u13150, _u13151, _u13152) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13153), _u13152)) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13154), _u13152)) | ( hAPP(_u13151, _u13153) != hAPP(_u13151, _u13154)) | ( _u13153 = _u13154) )).
% 13.05/13.27 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u13148, _u13149, _u13150, _u13151, _u13152) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13153), _u13152)) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13154), _u13152)) | ( _u13153 != _u13154) | ( hAPP(_u13151, _u13153) = hAPP(_u13151, _u13154)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13156), _u13160), _u13159)) | ( hAPP(_u13157, hAPP(_u13158, _u13160)) = _u13160) | ~c_Typedef_Otype__definition(_u13155, _u13156, _u13157, _u13158, _u13159) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13169), _u13173)) )).
% 13.05/13.27 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13169), _u13175)) )).
% 13.05/13.27 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | ( _u13175 != c_Orderings_Obot__class_Obot(tc_fun(_u13169, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | ~hBOOL(hAPP(hAPP(c_member(_u13169), _u13162), _u13173)) | hBOOL(hAPP(hAPP(c_member(_u13169), skolem283(_u13175, _u13173, _u13171, _u13169, _u13162)), _u13175)) )).
% 13.05/13.27 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | ~hBOOL(hAPP(hAPP(c_member(_u13169), _u13162), _u13173)) | hBOOL(hAPP(hAPP(_u13171, _u13162), skolem283(_u13175, _u13173, _u13171, _u13169, _u13162))) )).
% 13.05/13.27 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u13170, _u13172, _u13174, _u13176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13174)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13176)) | ( _u13176 = c_Orderings_Obot__class_Obot(tc_fun(_u13170, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13170), skolem284(_u13176, _u13174, _u13172, _u13170)), _u13174)) )).
% 13.05/13.27 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u13170, _u13172, _u13174, _u13176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13174)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13176)) | ( _u13176 = c_Orderings_Obot__class_Obot(tc_fun(_u13170, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13170), _u13163), _u13176)) | ~hBOOL(hAPP(hAPP(_u13172, skolem284(_u13176, _u13174, _u13172, _u13170)), _u13163)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13180)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13181)) | ( _u13181 = c_Orderings_Obot__class_Obot(tc_fun(_u13179, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool)), _u13180), _u13181)), c_Wellfounded_Omax__ext(_u13179, _u13182))) | hBOOL(hAPP(hAPP(c_member(_u13179), skolem285(_u13182, _u13181, _u13180, _u13179)), _u13180)) )).
% 13.05/13.27 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13180)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13181)) | ( _u13181 = c_Orderings_Obot__class_Obot(tc_fun(_u13179, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool)), _u13180), _u13181)), c_Wellfounded_Omax__ext(_u13179, _u13182))) | ~hBOOL(hAPP(hAPP(c_member(_u13179), _u13177), _u13181)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13179, _u13179)), hAPP(hAPP(c_Product__Type_OPair(_u13179, _u13179), skolem285(_u13182, _u13181, _u13180, _u13179)), _u13177)), _u13182)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13185, _u13186, hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188)), _u13189)) | ( hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188) = hAPP(hAPP(c_Set_Oinsert(_u13185), skolem286(_u13189, _u13188, _u13187, _u13186, _u13185)), skolem287(_u13189, _u13188, _u13187, _u13186, _u13185))) )).
% 13.05/13.27 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13185, _u13186, hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188)), _u13189)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13185, _u13185, _u13186, skolem286(_u13189, _u13188, _u13187, _u13186, _u13185), skolem287(_u13189, _u13188, _u13187, _u13186, _u13185)), _u13189)) )).
% 13.05/13.27 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13185, _u13186, hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188)), _u13189)) | ~hBOOL(hAPP(hAPP(c_member(_u13185), skolem286(_u13189, _u13188, _u13187, _u13186, _u13185)), skolem287(_u13189, _u13188, _u13187, _u13186, _u13185))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13199, _u13201, hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205)), _u13207)) | ( hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205) = hAPP(hAPP(c_Set_Oinsert(_u13199), skolem288(_u13207, _u13205, _u13203, _u13201, _u13199)), skolem289(_u13207, _u13205, _u13203, _u13201, _u13199))) )).
% 13.05/13.27 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13199, _u13201, hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205)), _u13207)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13199, _u13199, _u13201, skolem288(_u13207, _u13205, _u13203, _u13201, _u13199), skolem289(_u13207, _u13205, _u13203, _u13201, _u13199)), _u13207)) )).
% 13.05/13.27 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13199, _u13201, hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205)), _u13207)) | ~hBOOL(hAPP(hAPP(c_member(_u13199), skolem288(_u13207, _u13205, _u13203, _u13201, _u13199)), skolem289(_u13207, _u13205, _u13203, _u13201, _u13199))) )).
% 13.05/13.27 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13200), _u13204), _u13206) != hAPP(hAPP(c_Set_Oinsert(_u13200), _u13193), _u13192)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13200, _u13200, _u13202, _u13193, _u13192), _u13208)) | hBOOL(hAPP(hAPP(c_member(_u13200), _u13193), _u13192)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13200, _u13202, hAPP(hAPP(c_Set_Oinsert(_u13200), _u13204), _u13206)), _u13208)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u13209, tc_prod(_u13210, _u13211), hAPP(hAPP(c_COMBS(_u13209, _u13211, tc_prod(_u13210, _u13211)), hAPP(hAPP(c_COMBB(_u13210, tc_fun(_u13211, tc_prod(_u13210, _u13211)), _u13209), c_Product__Type_OPair(_u13210, _u13211)), _u13212)), _u13213)), _u13214) = hAPP(hAPP(c_Product__Type_OSigma(_u13210, _u13211), hAPP(c_Set_Oimage(_u13209, _u13210, _u13212), _u13214)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13211, tc_HOL_Obool), _u13210), c_Set_Oimage(_u13209, _u13211, _u13213)), hAPP(hAPP(c_COMBC(_u13210, tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool)), _u13210), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13209, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13210, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool), _u13210), c_Set_Ovimage(_u13209, _u13210, _u13212)), hAPP(hAPP(c_COMBC(_u13210, tc_fun(_u13210, tc_HOL_Obool), tc_fun(_u13210, tc_HOL_Obool)), c_Set_Oinsert(_u13210)), c_Orderings_Obot__class_Obot(tc_fun(_u13210, tc_HOL_Obool)))))), _u13214)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13215) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13215), _u13216)) | ( _u13216 = c_Orderings_Obot__class_Obot(tc_fun(_u13215, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13215), _u13217)) | ( _u13217 = c_Orderings_Obot__class_Obot(tc_fun(_u13215, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13215, tc_HOL_Obool)), _u13216), _u13217) != c_Orderings_Obot__class_Obot(tc_fun(_u13215, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u13215, c_Groups_Otimes__class_Otimes(_u13215)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13215, tc_HOL_Obool)), _u13216), _u13217)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13215), hAPP(c_Finite__Set_Ofold1(_u13215, c_Groups_Otimes__class_Otimes(_u13215)), _u13216)), hAPP(c_Finite__Set_Ofold1(_u13215, c_Groups_Otimes__class_Otimes(_u13215)), _u13217))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13218), _u13219), _u13220)) | ~hBOOL(hAPP(hAPP(c_member(_u13221), _u13222), hAPP(_u13223, _u13219))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13218, _u13221)), hAPP(hAPP(c_Product__Type_OPair(_u13218, _u13221), _u13219), _u13222)), hAPP(hAPP(c_Product__Type_OSigma(_u13218, _u13221), _u13220), _u13223))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13224), _u13225), _u13226)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13228), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226)) != hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13229), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226))) | ( _u13228 = _u13229) )).
% 13.05/13.27 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13224), _u13225), _u13226)) | ( _u13228 != _u13229) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13228), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226)) = hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13229), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13230, _u13231), c_Orderings_Obot__class_Obot(tc_fun(_u13230, tc_HOL_Obool))), _u13232) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13230, _u13231), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13233, _u13234), _u13235), hAPP(hAPP(c_COMBS(_u13233, tc_fun(_u13234, tc_HOL_Obool), tc_fun(_u13234, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13234, tc_HOL_Obool), tc_fun(tc_fun(_u13234, tc_HOL_Obool), tc_fun(_u13234, tc_HOL_Obool)), _u13233), c_Groups_Ominus__class_Ominus(tc_fun(_u13234, tc_HOL_Obool))), _u13236)), _u13237)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13233, _u13234), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13233, _u13234), _u13235), _u13236)), hAPP(hAPP(c_Product__Type_OSigma(_u13233, _u13234), _u13235), _u13237))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13238, _u13239), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13238, tc_HOL_Obool)), _u13240), _u13241)), hAPP(c_COMBK(tc_fun(_u13239, tc_HOL_Obool), _u13238), _u13242)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13238, _u13239), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13238, _u13239), _u13240), hAPP(c_COMBK(tc_fun(_u13239, tc_HOL_Obool), _u13238), _u13242))), hAPP(hAPP(c_Product__Type_OSigma(_u13238, _u13239), _u13241), hAPP(c_COMBK(tc_fun(_u13239, tc_HOL_Obool), _u13238), _u13242)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13243, _u13244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13243, tc_HOL_Obool)), _u13245), _u13246)), _u13247) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13243, _u13244), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13243, _u13244), _u13245), _u13247)), hAPP(hAPP(c_Product__Type_OSigma(_u13243, _u13244), _u13246), _u13247))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13248, _u13249)), hAPP(hAPP(c_Product__Type_OSigma(_u13248, _u13249), _u13250), hAPP(c_COMBK(tc_fun(_u13249, tc_HOL_Obool), _u13248), _u13251))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13248), _u13250)), hAPP(c_Finite__Set_Ocard(_u13249), _u13251))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13252) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13253, _u13252), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13254, tc_HOL_Obool), _u13252), hAPP(hAPP(c_COMBB(tc_fun(_u13254, _u13252), tc_fun(tc_fun(_u13254, tc_HOL_Obool), _u13252), _u13253), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13254, _u13252)), _u13255)), _u13256)), _u13257) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13253, _u13254), _u13252), hAPP(c_Product__Type_Oprod_Oprod__case(_u13253, _u13254, _u13252), _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13254), _u13257), hAPP(c_COMBK(tc_fun(_u13254, tc_HOL_Obool), _u13253), _u13256)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13262, _u13264), _u13266), hAPP(c_COMBK(tc_fun(_u13264, tc_HOL_Obool), _u13262), _u13268)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13262, _u13264), tc_HOL_Obool))) | ( _u13266 = c_Orderings_Obot__class_Obot(tc_fun(_u13262, tc_HOL_Obool))) | ( _u13268 = c_Orderings_Obot__class_Obot(tc_fun(_u13264, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13263, _u13265), _u13267), hAPP(c_COMBK(tc_fun(_u13265, tc_HOL_Obool), _u13263), _u13269)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13263, _u13265), tc_HOL_Obool))) | ( _u13267 != c_Orderings_Obot__class_Obot(tc_fun(_u13263, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13263, _u13265), _u13267), hAPP(c_COMBK(tc_fun(_u13265, tc_HOL_Obool), _u13263), _u13269)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13263, _u13265), tc_HOL_Obool))) | ( _u13269 != c_Orderings_Obot__class_Obot(tc_fun(_u13265, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13270, _u13271), _u13272), hAPP(c_COMBK(tc_fun(_u13271, tc_HOL_Obool), _u13270), c_Orderings_Obot__class_Obot(tc_fun(_u13271, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13270, _u13271), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13273, _u13274), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13273, _u13274), c_Orderings_Otop__class_Otop(tc_fun(_u13273, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13274, tc_HOL_Obool), _u13273), _u13275))) = hAPP(hAPP(c_Product__Type_OSigma(_u13273, _u13274), c_Orderings_Otop__class_Otop(tc_fun(_u13273, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13274, tc_HOL_Obool), _u13273), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13274, tc_HOL_Obool)), _u13275)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13276, _u13277), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13276, _u13277), _u13278), hAPP(c_COMBK(tc_fun(_u13277, tc_HOL_Obool), _u13276), c_Orderings_Otop__class_Otop(tc_fun(_u13277, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13276, _u13277), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13276, tc_HOL_Obool)), _u13278)), hAPP(c_COMBK(tc_fun(_u13277, tc_HOL_Obool), _u13276), c_Orderings_Otop__class_Otop(tc_fun(_u13277, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13279) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13280, _u13279), hAPP(hAPP(c_COMBC(_u13280, tc_fun(_u13281, tc_HOL_Obool), _u13279), hAPP(hAPP(c_COMBB(tc_fun(_u13281, _u13279), tc_fun(tc_fun(_u13281, tc_HOL_Obool), _u13279), _u13280), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13281, _u13279)), _u13282)), _u13283)), _u13284) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13280, _u13281), _u13279), hAPP(c_Product__Type_Oprod_Oprod__case(_u13280, _u13281, _u13279), _u13282)), hAPP(hAPP(c_Product__Type_OSigma(_u13280, _u13281), _u13284), hAPP(c_COMBK(tc_fun(_u13281, tc_HOL_Obool), _u13280), _u13283)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13285, _u13286), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13285, tc_HOL_Obool)), _u13287), _u13288)), _u13289) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13285, _u13286), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13285, _u13286), _u13287), _u13289)), hAPP(hAPP(c_Product__Type_OSigma(_u13285, _u13286), _u13288), _u13289))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13290, _u13291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13290, tc_HOL_Obool)), _u13292), _u13293)), hAPP(c_COMBK(tc_fun(_u13291, tc_HOL_Obool), _u13290), _u13294)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13290, _u13291), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13290, _u13291), _u13292), hAPP(c_COMBK(tc_fun(_u13291, tc_HOL_Obool), _u13290), _u13294))), hAPP(hAPP(c_Product__Type_OSigma(_u13290, _u13291), _u13293), hAPP(c_COMBK(tc_fun(_u13291, tc_HOL_Obool), _u13290), _u13294)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13295, _u13296), _u13297), hAPP(hAPP(c_COMBS(_u13295, tc_fun(_u13296, tc_HOL_Obool), tc_fun(_u13296, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13296, tc_HOL_Obool), tc_fun(tc_fun(_u13296, tc_HOL_Obool), tc_fun(_u13296, tc_HOL_Obool)), _u13295), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13296, tc_HOL_Obool))), _u13298)), _u13299)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13295, _u13296), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13295, _u13296), _u13297), _u13298)), hAPP(hAPP(c_Product__Type_OSigma(_u13295, _u13296), _u13297), _u13299))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13300, _u13301), tc_prod(_u13301, _u13300), hAPP(c_Product__Type_Oprod_Oprod__case(_u13300, _u13301, tc_prod(_u13301, _u13300)), hAPP(c_COMBC(_u13301, _u13300, tc_prod(_u13301, _u13300)), c_Product__Type_OPair(_u13301, _u13300)))), hAPP(hAPP(c_Product__Type_OSigma(_u13300, _u13301), _u13302), hAPP(c_COMBK(tc_fun(_u13301, tc_HOL_Obool), _u13300), _u13303))) = hAPP(hAPP(c_Product__Type_OSigma(_u13301, _u13300), _u13303), hAPP(c_COMBK(tc_fun(_u13300, tc_HOL_Obool), _u13301), _u13302))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u13304 != c_Finite__Set_Ofold1(_u13305, _u13306)) | ( hAPP(_u13304, hAPP(hAPP(c_Set_Oinsert(_u13305), _u13307), c_Orderings_Obot__class_Obot(tc_fun(_u13305, tc_HOL_Obool)))) = _u13307) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u13308, _u13309), hAPP(hAPP(c_Set_Oinsert(_u13308), _u13310), c_Orderings_Obot__class_Obot(tc_fun(_u13308, tc_HOL_Obool)))) = _u13310) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13311), _u13312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13313), _u13314)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13311, _u13313)), hAPP(hAPP(c_Product__Type_OSigma(_u13311, _u13313), _u13312), hAPP(c_COMBK(tc_fun(_u13313, tc_HOL_Obool), _u13311), _u13314)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u13315, _u13316, _u13317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13315, _u13315), tc_HOL_Obool)), _u13317), hAPP(hAPP(c_Product__Type_OSigma(_u13315, _u13315), _u13316), hAPP(c_COMBK(tc_fun(_u13315, tc_HOL_Obool), _u13315), _u13316)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13318, _u13319), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13318, tc_HOL_Obool)), _u13320), _u13321)), _u13322) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13318, _u13319), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13318, _u13319), _u13320), _u13322)), hAPP(hAPP(c_Product__Type_OSigma(_u13318, _u13319), _u13321), _u13322))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13324), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13323, tc_HOL_Obool)), _u13325), _u13326)), hAPP(c_COMBK(tc_fun(_u13324, tc_HOL_Obool), _u13323), _u13327)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13323, _u13324), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13324), _u13325), hAPP(c_COMBK(tc_fun(_u13324, tc_HOL_Obool), _u13323), _u13327))), hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13324), _u13326), hAPP(c_COMBK(tc_fun(_u13324, tc_HOL_Obool), _u13323), _u13327)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13329), _u13330), hAPP(hAPP(c_COMBS(_u13328, tc_fun(_u13329, tc_HOL_Obool), tc_fun(_u13329, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13329, tc_HOL_Obool), tc_fun(tc_fun(_u13329, tc_HOL_Obool), tc_fun(_u13329, tc_HOL_Obool)), _u13328), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13329, tc_HOL_Obool))), _u13331)), _u13332)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13328, _u13329), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13329), _u13330), _u13331)), hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13329), _u13330), _u13332))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13333, _u13333), tc_HOL_Obool)), c_Relation_OId__on(_u13333, _u13334)), hAPP(hAPP(c_Product__Type_OSigma(_u13333, _u13333), _u13334), hAPP(c_COMBK(tc_fun(_u13333, tc_HOL_Obool), _u13333), _u13334)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13335, _u13336), c_Orderings_Otop__class_Otop(tc_fun(_u13335, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13336, tc_HOL_Obool), _u13335), c_Orderings_Otop__class_Otop(tc_fun(_u13336, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13335, _u13336), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13343, _u13345)), hAPP(hAPP(c_Product__Type_OPair(_u13343, _u13345), _u13347), _u13349)), hAPP(hAPP(c_Product__Type_OSigma(_u13343, _u13345), _u13351), _u13353))) | hBOOL(hAPP(hAPP(c_member(_u13343), _u13347), _u13351)) )).
% 13.05/13.27 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13343, _u13345)), hAPP(hAPP(c_Product__Type_OPair(_u13343, _u13345), _u13347), _u13349)), hAPP(hAPP(c_Product__Type_OSigma(_u13343, _u13345), _u13351), _u13353))) | hBOOL(hAPP(hAPP(c_member(_u13345), _u13349), hAPP(_u13353, _u13347))) )).
% 13.05/13.27 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13344), _u13348), _u13352)) | ~hBOOL(hAPP(hAPP(c_member(_u13346), _u13350), hAPP(_u13354, _u13348))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13344, _u13346)), hAPP(hAPP(c_Product__Type_OPair(_u13344, _u13346), _u13348), _u13350)), hAPP(hAPP(c_Product__Type_OSigma(_u13344, _u13346), _u13352), _u13354))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13355, _u13356)), hAPP(hAPP(c_Product__Type_OPair(_u13355, _u13356), _u13357), _u13358)), hAPP(hAPP(c_Product__Type_OSigma(_u13355, _u13356), _u13359), _u13360))) | hBOOL(hAPP(hAPP(c_member(_u13355), _u13357), _u13359)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13362), _u13364), hAPP(_u13366, _u13363))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13361, _u13362)), hAPP(hAPP(c_Product__Type_OPair(_u13361, _u13362), _u13363), _u13364)), hAPP(hAPP(c_Product__Type_OSigma(_u13361, _u13362), _u13365), _u13366))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13367, _u13368)), hAPP(hAPP(c_Product__Type_OPair(_u13367, _u13368), _u13369), _u13370)), hAPP(hAPP(c_Product__Type_OSigma(_u13367, _u13368), _u13371), _u13372))) | hBOOL(hAPP(hAPP(c_member(_u13367), _u13369), _u13371)) )).
% 13.05/13.27 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13367, _u13368)), hAPP(hAPP(c_Product__Type_OPair(_u13367, _u13368), _u13369), _u13370)), hAPP(hAPP(c_Product__Type_OSigma(_u13367, _u13368), _u13371), _u13372))) | hBOOL(hAPP(hAPP(c_member(_u13368), _u13370), hAPP(_u13372, _u13369))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u13373, _u13374, _u13375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13373), _u13376)) | ( hAPP(_u13375, _u13376) = hAPP(c_Finite__Set_Ofold1(_u13373, _u13374), _u13376)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13377, _u13378)), hAPP(hAPP(c_Product__Type_OSigma(_u13377, _u13378), hAPP(hAPP(c_Set_Oinsert(_u13377), _u13379), c_Orderings_Obot__class_Obot(tc_fun(_u13377, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13378, tc_HOL_Obool), _u13377), _u13380))) = hAPP(c_Finite__Set_Ocard(_u13378), _u13380)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13381), _u13382), _u13383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13384, _u13381), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13385), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383))), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13386), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13384, tc_HOL_Obool)), _u13385), _u13386)) )).
% 13.05/13.27 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13381), _u13382), _u13383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13384, tc_HOL_Obool)), _u13385), _u13386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13384, _u13381), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13385), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383))), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13386), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13387, _u13388), tc_HOL_Obool)), _u13389), hAPP(hAPP(c_Product__Type_OSigma(_u13387, _u13388), _u13390), hAPP(c_COMBK(tc_fun(_u13388, tc_HOL_Obool), _u13387), _u13391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13388, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13387, _u13388, _u13389), _u13392)), _u13391)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13393, _u13394)), hAPP(hAPP(c_Product__Type_OSigma(_u13393, _u13394), _u13395), hAPP(c_COMBK(tc_fun(_u13394, tc_HOL_Obool), _u13393), _u13396)))) | ( _u13396 = c_Orderings_Obot__class_Obot(tc_fun(_u13394, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13393), _u13395)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13397, _u13398)), hAPP(hAPP(c_Product__Type_OSigma(_u13397, _u13398), _u13399), hAPP(c_COMBK(tc_fun(_u13398, tc_HOL_Obool), _u13397), _u13400)))) | ( _u13399 = c_Orderings_Obot__class_Obot(tc_fun(_u13397, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13398), _u13400)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fst__image__times-1, axiom, ( ( _u13405 != c_Orderings_Obot__class_Obot(tc_fun(_u13407, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13409, _u13407), _u13409, c_Product__Type_Ofst(_u13409, _u13407)), hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13407), _u13411), hAPP(c_COMBK(tc_fun(_u13407, tc_HOL_Obool), _u13409), _u13405))) = c_Orderings_Obot__class_Obot(tc_fun(_u13409, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_fst__image__times-2, axiom, ( ( _u13406 = c_Orderings_Obot__class_Obot(tc_fun(_u13408, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13410, _u13408), _u13410, c_Product__Type_Ofst(_u13410, _u13408)), hAPP(hAPP(c_Product__Type_OSigma(_u13410, _u13408), _u13412), hAPP(c_COMBK(tc_fun(_u13408, tc_HOL_Obool), _u13410), _u13406))) = _u13412) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_snd__image__times-1, axiom, ( ( _u13417 != c_Orderings_Obot__class_Obot(tc_fun(_u13419, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13419, _u13421), _u13421, c_Product__Type_Osnd(_u13419, _u13421)), hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13421), _u13417), hAPP(c_COMBK(tc_fun(_u13421, tc_HOL_Obool), _u13419), _u13423))) = c_Orderings_Obot__class_Obot(tc_fun(_u13421, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_snd__image__times-2, axiom, ( ( _u13418 = c_Orderings_Obot__class_Obot(tc_fun(_u13420, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13420, _u13422), _u13422, c_Product__Type_Osnd(_u13420, _u13422)), hAPP(hAPP(c_Product__Type_OSigma(_u13420, _u13422), _u13418), hAPP(c_COMBK(tc_fun(_u13422, tc_HOL_Obool), _u13420), _u13424))) = _u13424) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u13425, _u13426), _u13427) = c_HOL_OThe(_u13425, c_Finite__Set_Ofold1Set(_u13425, _u13426, _u13427))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u13428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13428), _u13429)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u13428, _u13429) = hAPP(c_Finite__Set_Ofold1(_u13428, c_Lattices_Osemilattice__sup__class_Osup(_u13428)), _u13429)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u13430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13430), _u13431)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u13430, _u13431) = hAPP(c_Finite__Set_Ofold1(_u13430, c_Lattices_Osemilattice__inf__class_Oinf(_u13430)), _u13431)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u13432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13432), _u13433)) | ( c_Big__Operators_Olinorder__class_OMin(_u13432, _u13433) = hAPP(c_Finite__Set_Ofold1(_u13432, c_Orderings_Oord__class_Omin(_u13432)), _u13433)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u13434) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13434), _u13435)) | ( c_Big__Operators_Olinorder__class_OMax(_u13434, _u13435) = hAPP(c_Finite__Set_Ofold1(_u13434, c_Orderings_Oord__class_Omax(_u13434)), _u13435)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u13436) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13436), _u13437)) | ( c_Big__Operators_Olattice_OInf__fin(_u13436, c_Orderings_Oord__class_Omin(_u13436), _u13437) = hAPP(c_Finite__Set_Ofold1(_u13436, c_Orderings_Oord__class_Omin(_u13436)), _u13437)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u13438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13438), _u13439)) | ( c_Big__Operators_Olattice_OSup__fin(_u13438, c_Orderings_Oord__class_Omax(_u13438), _u13439) = hAPP(c_Finite__Set_Ofold1(_u13438, c_Orderings_Oord__class_Omax(_u13438)), _u13439)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13440, _u13441), hAPP(hAPP(c_Set_Oinsert(_u13440), _u13442), _u13443)), hAPP(c_COMBK(tc_fun(_u13441, tc_HOL_Obool), _u13440), hAPP(hAPP(c_Set_Oinsert(_u13441), _u13444), _u13445))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13440, _u13441)), hAPP(hAPP(c_Product__Type_OPair(_u13440, _u13441), _u13442), _u13444)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13440, _u13441), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13440, _u13441), _u13443), hAPP(c_COMBK(tc_fun(_u13441, tc_HOL_Obool), _u13440), hAPP(hAPP(c_Set_Oinsert(_u13441), _u13444), _u13445)))), hAPP(hAPP(c_Product__Type_OSigma(_u13440, _u13441), hAPP(hAPP(c_Set_Oinsert(_u13440), _u13442), _u13443)), hAPP(c_COMBK(tc_fun(_u13441, tc_HOL_Obool), _u13440), _u13445))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13446), _u13447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13446, _u13446), tc_HOL_Obool)), _u13448), hAPP(hAPP(c_Product__Type_OSigma(_u13446, _u13446), _u13447), hAPP(c_COMBK(tc_fun(_u13446, tc_HOL_Obool), _u13446), _u13447)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13446, tc_HOL_Obool)), _u13449), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13446), _u13447), _u13448))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13446), _u13449)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13450, _u13451), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13450, _u13451), _u13454), hAPP(c_COMBK(tc_fun(_u13451, tc_HOL_Obool), _u13450), _u13455))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13450, _u13451, tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13450, tc_fun(_u13451, tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool))), tc_fun(_u13451, tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), tc_fun(tc_fun(_u13451, tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool))), tc_fun(_u13451, tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool))), _u13450), c_COMBB(tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool), _u13451)), hAPP(hAPP(c_COMBB(tc_fun(_u13452, tc_HOL_Obool), tc_fun(tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), _u13450), c_Product__Type_OSigma(_u13452, _u13453)), _u13456))), hAPP(hAPP(c_COMBB(tc_fun(_u13453, tc_HOL_Obool), tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), _u13451), c_COMBK(tc_fun(_u13453, tc_HOL_Obool), _u13452)), _u13457)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13452, _u13453), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13450, tc_fun(_u13452, tc_HOL_Obool)), _u13454), _u13456)), hAPP(c_COMBK(tc_fun(_u13453, tc_HOL_Obool), _u13452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13451, tc_fun(_u13453, tc_HOL_Obool)), _u13455), _u13457)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13458, _u13459), _u13460), _u13461) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13458, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), _u13460), hAPP(hAPP(c_COMBS(_u13458, tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13459, tc_HOL_Obool), tc_fun(tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), _u13458), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), _u13461)), hAPP(hAPP(c_COMBC(_u13458, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13459, tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), _u13458), c_COMBC(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13459, tc_prod(_u13458, _u13459)), tc_fun(_u13459, tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), _u13458), hAPP(c_COMBB(tc_prod(_u13458, _u13459), tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), _u13459), c_Set_Oinsert(tc_prod(_u13458, _u13459)))), c_Product__Type_OPair(_u13458, _u13459)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u13462) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13462), _u13463)) | ~hBOOL(hAPP(hAPP(c_member(_u13462), _u13464), _u13463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13462), hAPP(c_Finite__Set_Ofold1(_u13462, c_Lattices_Osemilattice__inf__class_Oinf(_u13462)), _u13463)), _u13464)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13465), _u13466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13465, _u13465), tc_HOL_Obool)), _u13467), hAPP(hAPP(c_Product__Type_OSigma(_u13465, _u13465), _u13466), hAPP(c_COMBK(tc_fun(_u13465, tc_HOL_Obool), _u13465), _u13466)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13465, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13465), _u13466), _u13467))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u13470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13470), _u13471)) | ( _u13471 = c_Orderings_Obot__class_Obot(tc_fun(_u13470, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), hAPP(c_Finite__Set_Ofold1(_u13470, c_Lattices_Osemilattice__inf__class_Oinf(_u13470)), _u13471))) | ~hBOOL(hAPP(hAPP(c_member(_u13470), _u13468), _u13471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), _u13468)) )).
% 13.05/13.27 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u13470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13470), _u13471)) | ( _u13471 = c_Orderings_Obot__class_Obot(tc_fun(_u13470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), hAPP(c_Finite__Set_Ofold1(_u13470, c_Lattices_Osemilattice__inf__class_Oinf(_u13470)), _u13471))) | hBOOL(hAPP(hAPP(c_member(_u13470), skolem290(_u13472, _u13471, _u13470)), _u13471)) )).
% 13.05/13.27 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u13470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13470), _u13471)) | ( _u13471 = c_Orderings_Obot__class_Obot(tc_fun(_u13470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), hAPP(c_Finite__Set_Ofold1(_u13470, c_Lattices_Osemilattice__inf__class_Oinf(_u13470)), _u13471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), skolem290(_u13472, _u13471, _u13470))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u13473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13473), _u13474)) | ~hBOOL(hAPP(hAPP(c_member(_u13473), _u13475), _u13474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13473), hAPP(c_Finite__Set_Ofold1(_u13473, c_Orderings_Oord__class_Omin(_u13473)), _u13474)), _u13475)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13476) | ( _u13477 = c_Orderings_Obot__class_Obot(tc_fun(_u13476, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13476), _u13477)) | ( hAPP(c_Finite__Set_Ofold1(_u13476, c_Groups_Otimes__class_Otimes(_u13476)), hAPP(hAPP(c_Set_Oinsert(_u13476), _u13478), _u13477)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13476), _u13478), hAPP(c_Finite__Set_Ofold1(_u13476, c_Groups_Otimes__class_Otimes(_u13476)), _u13477))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u13481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13481), _u13482)) | ( _u13482 = c_Orderings_Obot__class_Obot(tc_fun(_u13481, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), hAPP(c_Finite__Set_Ofold1(_u13481, c_Orderings_Oord__class_Omin(_u13481)), _u13482)), _u13483)) | hBOOL(hAPP(hAPP(c_member(_u13481), skolem291(_u13483, _u13482, _u13481)), _u13482)) )).
% 13.05/13.27 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u13481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13481), _u13482)) | ( _u13482 = c_Orderings_Obot__class_Obot(tc_fun(_u13481, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), hAPP(c_Finite__Set_Ofold1(_u13481, c_Orderings_Oord__class_Omin(_u13481)), _u13482)), _u13483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), skolem291(_u13483, _u13482, _u13481)), _u13483)) )).
% 13.05/13.27 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u13481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13481), _u13482)) | ( _u13482 = c_Orderings_Obot__class_Obot(tc_fun(_u13481, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13481), _u13480), _u13482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), _u13480), _u13483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), hAPP(c_Finite__Set_Ofold1(_u13481, c_Orderings_Oord__class_Omin(_u13481)), _u13482)), _u13483)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u13486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( _u13487 = c_Orderings_Obot__class_Obot(tc_fun(_u13486, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), hAPP(c_Finite__Set_Ofold1(_u13486, c_Orderings_Oord__class_Omin(_u13486)), _u13487))) | ~hBOOL(hAPP(hAPP(c_member(_u13486), _u13484), _u13487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), _u13484)) )).
% 13.05/13.27 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u13486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( _u13487 = c_Orderings_Obot__class_Obot(tc_fun(_u13486, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), hAPP(c_Finite__Set_Ofold1(_u13486, c_Orderings_Oord__class_Omin(_u13486)), _u13487))) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem292(_u13488, _u13487, _u13486)), _u13487)) )).
% 13.05/13.27 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u13486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( _u13487 = c_Orderings_Obot__class_Obot(tc_fun(_u13486, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), hAPP(c_Finite__Set_Ofold1(_u13486, c_Orderings_Oord__class_Omin(_u13486)), _u13487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), skolem292(_u13488, _u13487, _u13486))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13489) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13489), _u13490)) | ( _u13490 = c_Orderings_Obot__class_Obot(tc_fun(_u13489, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13489), _u13491)) | ( _u13491 = c_Orderings_Obot__class_Obot(tc_fun(_u13489, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u13489, c_Groups_Otimes__class_Otimes(_u13489)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13489, tc_HOL_Obool)), _u13490), _u13491)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13489), hAPP(c_Finite__Set_Ofold1(_u13489, c_Groups_Otimes__class_Otimes(_u13489)), _u13490)), hAPP(c_Finite__Set_Ofold1(_u13489, c_Groups_Otimes__class_Otimes(_u13489)), _u13491))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u13494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13494), _u13495)) | ( _u13495 = c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), hAPP(c_Finite__Set_Ofold1(_u13494, c_Orderings_Oord__class_Omin(_u13494)), _u13495)), _u13496)) | hBOOL(hAPP(hAPP(c_member(_u13494), skolem293(_u13496, _u13495, _u13494)), _u13495)) )).
% 13.05/13.27 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u13494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13494), _u13495)) | ( _u13495 = c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), hAPP(c_Finite__Set_Ofold1(_u13494, c_Orderings_Oord__class_Omin(_u13494)), _u13495)), _u13496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), skolem293(_u13496, _u13495, _u13494)), _u13496)) )).
% 13.05/13.27 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u13494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13494), _u13495)) | ( _u13495 = c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13494), _u13493), _u13495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), _u13493), _u13496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), hAPP(c_Finite__Set_Ofold1(_u13494, c_Orderings_Oord__class_Omin(_u13494)), _u13495)), _u13496)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u13499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13499), _u13500)) | ( _u13500 = c_Orderings_Obot__class_Obot(tc_fun(_u13499, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), hAPP(c_Finite__Set_Ofold1(_u13499, c_Orderings_Oord__class_Omin(_u13499)), _u13500))) | ~hBOOL(hAPP(hAPP(c_member(_u13499), _u13497), _u13500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), _u13497)) )).
% 13.05/13.27 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u13499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13499), _u13500)) | ( _u13500 = c_Orderings_Obot__class_Obot(tc_fun(_u13499, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), hAPP(c_Finite__Set_Ofold1(_u13499, c_Orderings_Oord__class_Omin(_u13499)), _u13500))) | hBOOL(hAPP(hAPP(c_member(_u13499), skolem294(_u13501, _u13500, _u13499)), _u13500)) )).
% 13.05/13.27 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u13499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13499), _u13500)) | ( _u13500 = c_Orderings_Obot__class_Obot(tc_fun(_u13499, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), hAPP(c_Finite__Set_Ofold1(_u13499, c_Orderings_Oord__class_Omin(_u13499)), _u13500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), skolem294(_u13501, _u13500, _u13499))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13502) | ( _u13503 = c_Orderings_Obot__class_Obot(tc_fun(_u13502, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13502), _u13503)) | hBOOL(hAPP(hAPP(c_member(_u13502), _u13504), _u13503)) | ( hAPP(c_Finite__Set_Ofold1(_u13502, c_Groups_Otimes__class_Otimes(_u13502)), hAPP(hAPP(c_Set_Oinsert(_u13502), _u13504), _u13503)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13502), _u13504), hAPP(c_Finite__Set_Ofold1(_u13502, c_Groups_Otimes__class_Otimes(_u13502)), _u13503))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u13505) | ( _u13506 = c_Orderings_Obot__class_Obot(tc_fun(_u13505, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13505, tc_HOL_Obool)), _u13506), _u13507)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13505), _u13507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13505), hAPP(c_Finite__Set_Ofold1(_u13505, c_Orderings_Oord__class_Omin(_u13505)), _u13507)), hAPP(c_Finite__Set_Ofold1(_u13505, c_Orderings_Oord__class_Omin(_u13505)), _u13506))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u13508, _u13509, _u13510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13508), _u13511)) | ( hAPP(_u13510, _u13511) = hAPP(c_Finite__Set_Ofold1(_u13508, _u13509), _u13511)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u13513, tc_prod(_u13514, _u13513), skolem295(_u13516, _u13515, _u13514, _u13513), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13514, tc_fun(_u13513, tc_HOL_Obool)), _u13515), _u13516)) )).
% 13.05/13.27 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13514, _u13513), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13513, tc_prod(_u13514, _u13513), skolem295(_u13516, _u13515, _u13514, _u13513)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13514, tc_fun(_u13513, tc_HOL_Obool)), _u13515), _u13516))), hAPP(hAPP(c_Product__Type_OSigma(_u13514, _u13513), _u13515), _u13516))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13519), _u13520)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, _u13519, c_Groups_Otimes__class_Otimes(_u13518)), hAPP(hAPP(c_COMBS(_u13519, tc_fun(_u13521, tc_HOL_Obool), _u13518), hAPP(hAPP(c_COMBC(_u13519, _u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), hAPP(hAPP(c_COMBB(tc_fun(_u13521, _u13518), tc_fun(_u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), _u13519), c_Finite__Set_Ofold__image(_u13518, _u13521, c_Groups_Otimes__class_Otimes(_u13518))), _u13523)), c_Groups_Oone__class_Oone(_u13518))), _u13522)), c_Groups_Oone__class_Oone(_u13518)), _u13520) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, tc_prod(_u13519, _u13521), c_Groups_Otimes__class_Otimes(_u13518)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13519, _u13521, _u13518), _u13523)), c_Groups_Oone__class_Oone(_u13518)), hAPP(hAPP(c_Product__Type_OSigma(_u13519, _u13521), _u13520), _u13522))) | hBOOL(hAPP(hAPP(c_member(_u13519), skolem296(_u13523, _u13522, _u13521, _u13520, _u13519, _u13518)), _u13520)) )).
% 13.05/13.27 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13519), _u13520)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, _u13519, c_Groups_Otimes__class_Otimes(_u13518)), hAPP(hAPP(c_COMBS(_u13519, tc_fun(_u13521, tc_HOL_Obool), _u13518), hAPP(hAPP(c_COMBC(_u13519, _u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), hAPP(hAPP(c_COMBB(tc_fun(_u13521, _u13518), tc_fun(_u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), _u13519), c_Finite__Set_Ofold__image(_u13518, _u13521, c_Groups_Otimes__class_Otimes(_u13518))), _u13523)), c_Groups_Oone__class_Oone(_u13518))), _u13522)), c_Groups_Oone__class_Oone(_u13518)), _u13520) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, tc_prod(_u13519, _u13521), c_Groups_Otimes__class_Otimes(_u13518)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13519, _u13521, _u13518), _u13523)), c_Groups_Oone__class_Oone(_u13518)), hAPP(hAPP(c_Product__Type_OSigma(_u13519, _u13521), _u13520), _u13522))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13521), hAPP(_u13522, skolem296(_u13523, _u13522, _u13521, _u13520, _u13519, _u13518)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13526), _u13527)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13526, _u13525), hAPP(hAPP(c_COMBS(_u13526, tc_fun(_u13528, tc_HOL_Obool), _u13525), hAPP(hAPP(c_COMBB(tc_fun(_u13528, _u13525), tc_fun(tc_fun(_u13528, tc_HOL_Obool), _u13525), _u13526), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13528, _u13525)), _u13530)), _u13529)), _u13527) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13526, _u13528), _u13525), hAPP(c_Product__Type_Oprod_Oprod__case(_u13526, _u13528, _u13525), _u13530)), hAPP(hAPP(c_Product__Type_OSigma(_u13526, _u13528), _u13527), _u13529))) | hBOOL(hAPP(hAPP(c_member(_u13526), skolem297(_u13530, _u13529, _u13528, _u13527, _u13526, _u13525)), _u13527)) )).
% 13.05/13.27 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13526), _u13527)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13526, _u13525), hAPP(hAPP(c_COMBS(_u13526, tc_fun(_u13528, tc_HOL_Obool), _u13525), hAPP(hAPP(c_COMBB(tc_fun(_u13528, _u13525), tc_fun(tc_fun(_u13528, tc_HOL_Obool), _u13525), _u13526), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13528, _u13525)), _u13530)), _u13529)), _u13527) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13526, _u13528), _u13525), hAPP(c_Product__Type_Oprod_Oprod__case(_u13526, _u13528, _u13525), _u13530)), hAPP(hAPP(c_Product__Type_OSigma(_u13526, _u13528), _u13527), _u13529))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13528), hAPP(_u13529, skolem297(_u13530, _u13529, _u13528, _u13527, _u13526, _u13525)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13533), _u13534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), hAPP(hAPP(c_COMBS(_u13533, tc_fun(_u13535, tc_HOL_Obool), _u13532), hAPP(hAPP(c_COMBB(tc_fun(_u13535, _u13532), tc_fun(tc_fun(_u13535, tc_HOL_Obool), _u13532), _u13533), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13535, _u13532)), _u13537)), _u13536)), _u13534) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13533, _u13535), _u13532), hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13535, _u13532), _u13537)), hAPP(hAPP(c_Product__Type_OSigma(_u13533, _u13535), _u13534), _u13536))) | hBOOL(hAPP(hAPP(c_member(_u13533), skolem298(_u13537, _u13536, _u13535, _u13534, _u13533, _u13532)), _u13534)) )).
% 13.05/13.27 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13533), _u13534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), hAPP(hAPP(c_COMBS(_u13533, tc_fun(_u13535, tc_HOL_Obool), _u13532), hAPP(hAPP(c_COMBB(tc_fun(_u13535, _u13532), tc_fun(tc_fun(_u13535, tc_HOL_Obool), _u13532), _u13533), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13535, _u13532)), _u13537)), _u13536)), _u13534) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13533, _u13535), _u13532), hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13535, _u13532), _u13537)), hAPP(hAPP(c_Product__Type_OSigma(_u13533, _u13535), _u13534), _u13536))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13535), hAPP(_u13536, skolem298(_u13537, _u13536, _u13535, _u13534, _u13533, _u13532)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13539), _u13540)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13539, _u13541)), hAPP(hAPP(c_Product__Type_OSigma(_u13539, _u13541), _u13540), _u13542)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13539, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13541, tc_HOL_Obool), tc_Nat_Onat, _u13539), c_Finite__Set_Ocard(_u13541)), _u13542)), _u13540)) | hBOOL(hAPP(hAPP(c_member(_u13539), skolem299(_u13542, _u13541, _u13540, _u13539)), _u13540)) )).
% 13.05/13.27 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13539), _u13540)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13539, _u13541)), hAPP(hAPP(c_Product__Type_OSigma(_u13539, _u13541), _u13540), _u13542)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13539, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13541, tc_HOL_Obool), tc_Nat_Onat, _u13539), c_Finite__Set_Ocard(_u13541)), _u13542)), _u13540)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13541), hAPP(_u13542, skolem299(_u13542, _u13541, _u13540, _u13539)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13545) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13545), _u13546)) | ( _u13546 = c_Orderings_Obot__class_Obot(tc_fun(_u13545, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13545), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13545), skolem300(_u13546, _u13545)), skolem301(_u13546, _u13545))), hAPP(hAPP(c_Set_Oinsert(_u13545), skolem300(_u13546, _u13545)), hAPP(hAPP(c_Set_Oinsert(_u13545), skolem301(_u13546, _u13545)), c_Orderings_Obot__class_Obot(tc_fun(_u13545, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u13545), hAPP(c_Finite__Set_Ofold1(_u13545, c_Groups_Otimes__class_Otimes(_u13545)), _u13546)), _u13546)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13548), _u13549)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13548, _u13550)), hAPP(hAPP(c_Product__Type_OSigma(_u13548, _u13550), _u13549), _u13551))) | hBOOL(hAPP(hAPP(c_member(_u13548), skolem302(_u13551, _u13550, _u13549, _u13548)), _u13549)) )).
% 13.05/13.27 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13548), _u13549)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13548, _u13550)), hAPP(hAPP(c_Product__Type_OSigma(_u13548, _u13550), _u13549), _u13551))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13550), hAPP(_u13551, skolem302(_u13551, _u13550, _u13549, _u13548)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13554) | ( hAPP(_u13555, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13554), skolem303(_u13556, _u13555, _u13554)), skolem304(_u13556, _u13555, _u13554))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13554), hAPP(_u13555, skolem303(_u13556, _u13555, _u13554))), hAPP(_u13555, skolem304(_u13556, _u13555, _u13554)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13554), _u13556)) | ( _u13556 = c_Orderings_Obot__class_Obot(tc_fun(_u13554, tc_HOL_Obool))) | ( hAPP(_u13555, hAPP(c_Finite__Set_Ofold1(_u13554, c_Groups_Otimes__class_Otimes(_u13554)), _u13556)) = hAPP(c_Finite__Set_Ofold1(_u13554, c_Groups_Otimes__class_Otimes(_u13554)), hAPP(c_Set_Oimage(_u13554, _u13554, _u13555), _u13556))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13559, _u13560)), _u13561), hAPP(hAPP(c_Product__Type_OSigma(_u13559, _u13560), _u13562), _u13563))) | hBOOL(hAPP(hAPP(c_member(_u13559), skolem305(_u13563, _u13562, _u13561, _u13560, _u13559)), _u13562)) )).
% 13.05/13.27 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13559, _u13560)), _u13561), hAPP(hAPP(c_Product__Type_OSigma(_u13559, _u13560), _u13562), _u13563))) | hBOOL(hAPP(hAPP(c_member(_u13560), skolem306(_u13563, _u13562, _u13561, _u13560, _u13559)), hAPP(_u13563, skolem305(_u13563, _u13562, _u13561, _u13560, _u13559)))) )).
% 13.05/13.27 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13559, _u13560)), _u13561), hAPP(hAPP(c_Product__Type_OSigma(_u13559, _u13560), _u13562), _u13563))) | ( _u13561 = hAPP(hAPP(c_Product__Type_OPair(_u13559, _u13560), skolem305(_u13563, _u13562, _u13561, _u13560, _u13559)), skolem306(_u13563, _u13562, _u13561, _u13560, _u13559))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13564, _u13565, _u13566), c_Orderings_Otop__class_Otop(tc_fun(_u13564, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13565, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13567, _u13568, _u13569), c_Orderings_Otop__class_Otop(tc_fun(_u13567, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13568, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13564, _u13567), tc_prod(_u13565, _u13568), c_Product__Type_Omap__pair(_u13564, _u13565, _u13567, _u13568, _u13566, _u13569)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13564, _u13567), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13565, _u13568), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13570, _u13571, _u13572, _u13573) | ~c_Fun_Oinj__on(_u13574, _u13575, _u13576, _u13577) | c_Fun_Oinj__on(tc_prod(_u13570, _u13574), tc_prod(_u13571, _u13575), c_Product__Type_Omap__pair(_u13570, _u13571, _u13574, _u13575, _u13572, _u13576), hAPP(hAPP(c_Product__Type_OSigma(_u13570, _u13574), _u13573), hAPP(c_COMBK(tc_fun(_u13574, tc_HOL_Obool), _u13570), _u13577))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13578, _u13579)), hAPP(hAPP(c_Product__Type_OPair(_u13578, _u13579), _u13580), _u13581)), _u13582)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13583, _u13584)), hAPP(hAPP(c_Product__Type_OPair(_u13583, _u13584), hAPP(_u13585, _u13580)), hAPP(_u13586, _u13581))), hAPP(c_Set_Oimage(tc_prod(_u13578, _u13579), tc_prod(_u13583, _u13584), c_Product__Type_Omap__pair(_u13578, _u13583, _u13579, _u13584, _u13585, _u13586)), _u13582))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u13587, _u13588), hAPP(c_Product__Type_Omap__pair(_u13589, _u13587, _u13590, _u13588, _u13591, _u13592), _u13593)) = hAPP(_u13592, hAPP(c_Product__Type_Osnd(_u13589, _u13590), _u13593))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u13594, _u13595), hAPP(c_Product__Type_Omap__pair(_u13596, _u13594, _u13597, _u13595, _u13598, _u13599), _u13600)) = hAPP(_u13598, hAPP(c_Product__Type_Ofst(_u13596, _u13597), _u13600))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13601, _u13602, _u13603, _u13604, _u13605, _u13606), hAPP(hAPP(c_Product__Type_OPair(_u13601, _u13603), _u13607), _u13608)) = hAPP(hAPP(c_Product__Type_OPair(_u13602, _u13604), hAPP(_u13605, _u13607)), hAPP(_u13606, _u13608))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13609, _u13609, _u13610, _u13610, c_COMBI(_u13609), c_COMBI(_u13610)), _u13611) = _u13611) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u13612, _u13613, _u13614, _u13615, _u13616, _u13617) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13612, _u13614, tc_prod(_u13613, _u13615)), hAPP(hAPP(c_COMBC(_u13612, tc_fun(_u13614, _u13615), tc_fun(_u13614, tc_prod(_u13613, _u13615))), hAPP(hAPP(c_COMBB(tc_fun(_u13615, tc_prod(_u13613, _u13615)), tc_fun(tc_fun(_u13614, _u13615), tc_fun(_u13614, tc_prod(_u13613, _u13615))), _u13612), c_COMBB(_u13615, tc_prod(_u13613, _u13615), _u13614)), hAPP(hAPP(c_COMBB(_u13613, tc_fun(_u13615, tc_prod(_u13613, _u13615)), _u13612), c_Product__Type_OPair(_u13613, _u13615)), _u13616))), _u13617))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u13618, _u13619, _u13620), _u13621) != _u13622) | ( hAPP(c_Set_Oimage(_u13623, _u13624, _u13625), _u13626) != _u13627) | ( hAPP(c_Set_Oimage(tc_prod(_u13618, _u13623), tc_prod(_u13619, _u13624), c_Product__Type_Omap__pair(_u13618, _u13619, _u13623, _u13624, _u13620, _u13625)), hAPP(hAPP(c_Product__Type_OSigma(_u13618, _u13623), _u13621), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13618), _u13626))) = hAPP(hAPP(c_Product__Type_OSigma(_u13619, _u13624), _u13622), hAPP(c_COMBK(tc_fun(_u13624, tc_HOL_Obool), _u13619), _u13627))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13630, _u13631)), _u13632), hAPP(c_Set_Oimage(tc_prod(_u13633, _u13634), tc_prod(_u13630, _u13631), c_Product__Type_Omap__pair(_u13633, _u13630, _u13634, _u13631, _u13635, _u13636)), _u13637))) | ( _u13632 = hAPP(hAPP(c_Product__Type_OPair(_u13630, _u13631), hAPP(_u13635, skolem307(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630))), hAPP(_u13636, skolem308(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630)))) )).
% 13.05/13.27 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13630, _u13631)), _u13632), hAPP(c_Set_Oimage(tc_prod(_u13633, _u13634), tc_prod(_u13630, _u13631), c_Product__Type_Omap__pair(_u13633, _u13630, _u13634, _u13631, _u13635, _u13636)), _u13637))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13633, _u13634)), hAPP(hAPP(c_Product__Type_OPair(_u13633, _u13634), skolem307(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630)), skolem308(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630))), _u13637)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u13643, _u13645, _u13647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13643, _u13643), tc_HOL_Obool)), _u13647), hAPP(hAPP(c_Product__Type_OSigma(_u13643, _u13643), _u13645), hAPP(c_COMBK(tc_fun(_u13643, tc_HOL_Obool), _u13643), _u13645)))) )).
% 13.05/13.27 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u13643, _u13645, _u13647) | ~hBOOL(hAPP(hAPP(c_member(_u13643), _u13638), _u13645)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13643, _u13643)), hAPP(hAPP(c_Product__Type_OPair(_u13643, _u13643), _u13638), _u13638)), _u13647)) )).
% 13.05/13.27 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u13644, _u13646, _u13648) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13644, _u13644), tc_HOL_Obool)), _u13648), hAPP(hAPP(c_Product__Type_OSigma(_u13644, _u13644), _u13646), hAPP(c_COMBK(tc_fun(_u13644, tc_HOL_Obool), _u13644), _u13646)))) | hBOOL(hAPP(hAPP(c_member(_u13644), skolem309(_u13648, _u13646, _u13644)), _u13646)) )).
% 13.05/13.27 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u13644, _u13646, _u13648) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13644, _u13644), tc_HOL_Obool)), _u13648), hAPP(hAPP(c_Product__Type_OSigma(_u13644, _u13644), _u13646), hAPP(c_COMBK(tc_fun(_u13644, tc_HOL_Obool), _u13644), _u13646)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13644, _u13644)), hAPP(hAPP(c_Product__Type_OPair(_u13644, _u13644), skolem309(_u13648, _u13646, _u13644)), skolem309(_u13648, _u13646, _u13644))), _u13648)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13650), _u13651)) | 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(_u13650, tc_Nat_Onat), _u13652), _u13651))) | hBOOL(hAPP(hAPP(c_member(_u13650), skolem310(_u13652, _u13651, _u13650)), _u13651)) )).
% 13.05/13.27 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13650), _u13651)) | 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(_u13650, tc_Nat_Onat), _u13652), _u13651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u13652, skolem310(_u13652, _u13651, _u13650)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u13653, _u13654, c_Relation_OId__on(_u13653, _u13654)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u13655, c_Orderings_Obot__class_Obot(tc_fun(_u13655, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13655, _u13655), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u13656, _u13657, _u13658) | ~c_Relation_Orefl__on(_u13656, _u13659, _u13660) | c_Relation_Orefl__on(_u13656, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13656, tc_HOL_Obool)), _u13657), _u13659), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13656, _u13656), tc_HOL_Obool)), _u13658), _u13660)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u13661, _u13662, _u13663) | ~c_Relation_Orefl__on(_u13661, _u13664, _u13665) | c_Relation_Orefl__on(_u13661, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13661, tc_HOL_Obool)), _u13662), _u13664), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13661, _u13661), tc_HOL_Obool)), _u13663), _u13665)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u13666, _u13667, _u13668) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13666, _u13666)), hAPP(hAPP(c_Product__Type_OPair(_u13666, _u13666), _u13669), _u13670)), _u13668)) | hBOOL(hAPP(hAPP(c_member(_u13666), _u13670), _u13667)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u13671, _u13672, _u13673) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13671, _u13671)), hAPP(hAPP(c_Product__Type_OPair(_u13671, _u13671), _u13674), _u13675)), _u13673)) | hBOOL(hAPP(hAPP(c_member(_u13671), _u13674), _u13672)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u13676, _u13677, _u13678) | ~hBOOL(hAPP(hAPP(c_member(_u13676), _u13679), _u13677)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13676, _u13676)), hAPP(hAPP(c_Product__Type_OPair(_u13676, _u13676), _u13679), _u13679)), _u13678)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13681, _u13681), tc_HOL_Obool)), _u13682), hAPP(hAPP(c_Product__Type_OSigma(_u13681, _u13681), _u13683), hAPP(c_COMBK(tc_fun(_u13681, tc_HOL_Obool), _u13681), _u13683)))) | c_Relation_Orefl__on(_u13681, _u13683, _u13682) | hBOOL(hAPP(hAPP(c_member(_u13681), skolem311(_u13683, _u13682, _u13681)), _u13683)) )).
% 13.05/13.27 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13681, _u13681), tc_HOL_Obool)), _u13682), hAPP(hAPP(c_Product__Type_OSigma(_u13681, _u13681), _u13683), hAPP(c_COMBK(tc_fun(_u13681, tc_HOL_Obool), _u13681), _u13683)))) | c_Relation_Orefl__on(_u13681, _u13683, _u13682) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13681, _u13681)), hAPP(hAPP(c_Product__Type_OPair(_u13681, _u13681), skolem311(_u13683, _u13682, _u13681)), skolem311(_u13683, _u13682, _u13681))), _u13682)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u13686, _u13687, _u13688) | ( hAPP(_u13689, hAPP(hAPP(_u13687, skolem312(_u13690, _u13689, _u13688, _u13687, _u13686)), skolem313(_u13690, _u13689, _u13688, _u13687, _u13686))) != hAPP(hAPP(_u13687, hAPP(_u13689, skolem312(_u13690, _u13689, _u13688, _u13687, _u13686))), hAPP(_u13689, skolem313(_u13690, _u13689, _u13688, _u13687, _u13686)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13686), _u13690)) | ( _u13690 = c_Orderings_Obot__class_Obot(tc_fun(_u13686, tc_HOL_Obool))) | ( hAPP(_u13689, hAPP(_u13688, _u13690)) = hAPP(_u13688, hAPP(c_Set_Oimage(_u13686, _u13686, _u13689), _u13690))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u13692), c_Int_OInteg)) | ~hBOOL(hAPP(_u13693, hAPP(c_Int_ORep__Integ, skolem314(_u13693, _u13692)))) | hBOOL(hAPP(_u13693, _u13692)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u13695), c_Int_OInteg)) | ( _u13695 = hAPP(c_Int_ORep__Integ, skolem315(_u13695))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u13697, _u13698, _u13699, _u13700, _u13701, _u13702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13703)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13704)) | ( hAPP(_u13702, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13698, tc_HOL_Obool)), _u13703), _u13704)) = hAPP(hAPP(_u13699, hAPP(_u13702, _u13703)), hAPP(_u13702, _u13704))) | hBOOL(hAPP(hAPP(c_member(_u13698), skolem316(_u13704, _u13703, _u13702, _u13701, _u13700, _u13699, _u13698)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13698, tc_HOL_Obool)), _u13703), _u13704))) )).
% 13.05/13.27 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u13697, _u13698, _u13699, _u13700, _u13701, _u13702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13703)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13704)) | ( hAPP(_u13702, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13698, tc_HOL_Obool)), _u13703), _u13704)) = hAPP(hAPP(_u13699, hAPP(_u13702, _u13703)), hAPP(_u13702, _u13704))) | ( hAPP(_u13701, skolem316(_u13704, _u13703, _u13702, _u13701, _u13700, _u13699, _u13698)) != _u13700) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u13705, tc_fun(_u13705, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13705, tc_HOL_Obool), tc_fun(tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool)), _u13705), hAPP(c_COMBC(tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u13705, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u13705, tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool)), c_Set_Oinsert(_u13705)), c_Orderings_Obot__class_Obot(tc_fun(_u13705, tc_HOL_Obool))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u13706) | c_Finite__Set_Ofun__left__comm__idem(_u13706, _u13706, c_Orderings_Oord__class_Omax(_u13706)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u13707) | c_Finite__Set_Ofun__left__comm__idem(_u13707, _u13707, c_Lattices_Osemilattice__sup__class_Osup(_u13707)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u13708) | c_Finite__Set_Ofun__left__comm__idem(_u13708, _u13708, c_Lattices_Osemilattice__inf__class_Oinf(_u13708)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u13709, _u13710, _u13711) | c_Finite__Set_Ofun__left__comm__idem(_u13712, _u13710, hAPP(hAPP(c_COMBB(_u13709, tc_fun(_u13710, _u13710), _u13712), _u13711), _u13713)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u13716, _u13717), hAPP(hAPP(_u13716, _u13717), _u13718)) = hAPP(hAPP(_u13716, _u13717), _u13718)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13714, _u13715, _u13716) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13719) | c_Finite__Set_Ofun__left__comm__idem(_u13719, _u13719, c_Groups_Otimes__class_Otimes(_u13719)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u13720) | c_Finite__Set_Ofun__left__comm__idem(_u13720, _u13720, c_Orderings_Oord__class_Omin(_u13720)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u13721, tc_fun(_u13721, tc_HOL_Obool), c_Set_Oinsert(_u13721)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13722)) | ( 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)), _u13722))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u13723)))) = 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)), _u13722))), 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, _u13723)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__less ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13724)) | ( 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)), _u13724))), 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, _u13725))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13726)) | ( 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)), _u13726))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u13727))))) = 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)), _u13726))), 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, _u13727)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u13728, _u13729)) | hBOOL(hAPP(hAPP(c_member(_u13730), _u13729), hAPP(c_Set_OCollect(_u13730), _u13728))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), hAPP(hAPP(c_COMBS(_u13731, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13731), c_fconj), _u13732)), _u13733)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), _u13732))) )).
% 13.05/13.27 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), hAPP(hAPP(c_COMBS(_u13731, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13731), c_fconj), _u13732)), _u13733)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), _u13733))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u13734)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u13735)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13736, _u13737)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13736, _u13737, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13736, tc_fun(_u13737, tc_HOL_Obool), tc_fun(_u13737, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13737, tc_HOL_Obool), tc_fun(_u13737, tc_HOL_Obool)), _u13736), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13737)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13736), c_fconj), _u13738))), _u13739))) = hAPP(hAPP(c_Product__Type_OSigma(_u13736, _u13737), hAPP(c_Set_OCollect(_u13736), _u13738)), hAPP(c_COMBK(tc_fun(_u13737, tc_HOL_Obool), _u13736), hAPP(c_Set_OCollect(_u13737), _u13739)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13740, _u13741)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13740, _u13741, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13740, tc_fun(_u13741, tc_HOL_Obool), tc_fun(_u13741, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13741, tc_HOL_Obool), tc_fun(_u13741, tc_HOL_Obool)), _u13740), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13741)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13740), c_fconj), _u13742))), _u13743))) = hAPP(hAPP(c_Product__Type_OSigma(_u13740, _u13741), hAPP(c_Set_OCollect(_u13740), _u13742)), hAPP(hAPP(c_COMBB(tc_fun(_u13741, tc_HOL_Obool), tc_fun(_u13741, tc_HOL_Obool), _u13740), c_Set_OCollect(_u13741)), _u13743))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13744), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13744), c_fNot), _u13745)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13744, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13744), _u13745))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13746, _u13747, _u13748), hAPP(c_Set_OCollect(_u13747), _u13749)) = hAPP(c_Set_OCollect(_u13746), hAPP(hAPP(c_COMBB(_u13747, tc_HOL_Obool, _u13746), _u13749), _u13748))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13750), hAPP(hAPP(c_COMBC(_u13750, tc_fun(_u13750, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13750)), _u13751)) = _u13751) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u13759, _u13757)) | ~hBOOL(hAPP(hAPP(c_member(_u13755), _u13757), hAPP(c_Set_OCollect(_u13755), _u13759))) )).
% 13.05/13.27 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u13760, _u13758)) | hBOOL(hAPP(hAPP(c_member(_u13756), _u13758), hAPP(c_Set_OCollect(_u13756), _u13760))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u13763, _u13762)) | ~hBOOL(hAPP(hAPP(c_member(_u13761), _u13762), hAPP(c_Set_OCollect(_u13761), _u13763))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u13766, _u13765)) | ~hBOOL(hAPP(hAPP(c_member(_u13764), _u13765), hAPP(c_Set_OCollect(_u13764), _u13766))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), hAPP(hAPP(c_COMBS(_u13770, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13770), c_fdisj), _u13772)), _u13774)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), _u13772))) )).
% 13.05/13.27 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), hAPP(hAPP(c_COMBS(_u13770, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13770), c_fdisj), _u13772)), _u13774)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), _u13774))) )).
% 13.05/13.27 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13771), hAPP(c_Set_OCollect(_u13771), _u13773))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13771), hAPP(c_Set_OCollect(_u13771), _u13775))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13771), hAPP(c_Set_OCollect(_u13771), hAPP(hAPP(c_COMBS(_u13771, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13771), c_fdisj), _u13773)), _u13775)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u13776, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u13776), hAPP(c_COMBK(tc_HOL_Obool, _u13776), c_fTrue))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13777), _u13778), hAPP(c_Set_OCollect(_u13777), _u13779)) = hAPP(c_Set_OCollect(_u13777), hAPP(hAPP(c_COMBS(_u13777, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13777), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13777), c_fNot), hAPP(hAPP(c_COMBC(_u13777, _u13777, tc_HOL_Obool), c_fequal), _u13778)))), _u13779))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13780), hAPP(hAPP(c_COMBS(_u13780, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13780), c_fconj), _u13781)), _u13782)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13780, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13780), _u13781)), hAPP(c_Set_OCollect(_u13780), _u13782))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13783), hAPP(hAPP(c_COMBS(_u13783, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13783), c_fdisj), _u13784)), _u13785)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13783, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13783), _u13784)), hAPP(c_Set_OCollect(_u13783), _u13785))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u13786), _u13787) = _u13787) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u13788, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u13788), hAPP(c_COMBK(tc_HOL_Obool, _u13788), c_fFalse))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u13795, _u13789)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u13793, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u13793), _u13795)) )).
% 13.05/13.27 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u13796, skolem317(_u13796))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u13794, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u13794), _u13796)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u13803, _u13797)) | ( hAPP(c_Set_OCollect(_u13801), _u13803) != c_Orderings_Obot__class_Obot(tc_fun(_u13801, tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u13804, skolem318(_u13804))) | ( hAPP(c_Set_OCollect(_u13802), _u13804) = c_Orderings_Obot__class_Obot(tc_fun(_u13802, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13805), _u13806), _u13807) = hAPP(c_Set_OCollect(_u13805), hAPP(hAPP(c_COMBS(_u13805, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13805), c_fdisj), hAPP(hAPP(c_COMBC(_u13805, _u13805, tc_HOL_Obool), c_fequal), _u13806))), hAPP(hAPP(c_COMBC(_u13805, tc_fun(_u13805, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13805)), _u13807)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13808), _u13809), _u13810) = hAPP(c_Set_OCollect(_u13808), hAPP(hAPP(c_COMBS(_u13808, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13808), c_fdisj), hAPP(hAPP(c_COMBC(_u13808, _u13808, tc_HOL_Obool), c_fequal), _u13809))), hAPP(hAPP(c_COMBC(_u13808, tc_fun(_u13808, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13808)), _u13810)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13811, tc_HOL_Obool)), _u13812), _u13813) = hAPP(c_Set_OCollect(_u13811), hAPP(hAPP(c_COMBS(_u13811, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13811), c_fdisj), hAPP(hAPP(c_COMBC(_u13811, tc_fun(_u13811, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13811)), _u13812))), hAPP(hAPP(c_COMBC(_u13811, tc_fun(_u13811, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13811)), _u13813)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13818), _u13820), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13818, tc_HOL_Obool)), _u13822), hAPP(c_Set_OCollect(_u13818), _u13824)))) | hBOOL(hAPP(hAPP(c_member(_u13818), _u13820), _u13822)) )).
% 13.05/13.27 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13818), _u13820), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13818, tc_HOL_Obool)), _u13822), hAPP(c_Set_OCollect(_u13818), _u13824)))) | hBOOL(hAPP(_u13824, _u13820)) )).
% 13.05/13.27 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13819), _u13821), _u13823)) | ~hBOOL(hAPP(_u13825, _u13821)) | hBOOL(hAPP(hAPP(c_member(_u13819), _u13821), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13819, tc_HOL_Obool)), _u13823), hAPP(c_Set_OCollect(_u13819), _u13825)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13826, tc_HOL_Obool)), _u13827), _u13828) = hAPP(c_Set_OCollect(_u13826), hAPP(hAPP(c_COMBS(_u13826, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13826), c_fconj), hAPP(hAPP(c_COMBC(_u13826, tc_fun(_u13826, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13826)), _u13827))), hAPP(hAPP(c_COMBC(_u13826, tc_fun(_u13826, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13826)), _u13828)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u13832, _u13834)) | ( hAPP(c_Set_OCollect(_u13836), hAPP(hAPP(c_COMBS(_u13836, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13836), c_fconj), hAPP(hAPP(c_COMBC(_u13836, _u13836, tc_HOL_Obool), c_fequal), _u13834))), _u13832)) = hAPP(hAPP(c_Set_Oinsert(_u13836), _u13834), c_Orderings_Obot__class_Obot(tc_fun(_u13836, tc_HOL_Obool)))) )).
% 13.05/13.27 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u13833, _u13835)) | ( hAPP(c_Set_OCollect(_u13837), hAPP(hAPP(c_COMBS(_u13837, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13837), c_fconj), hAPP(hAPP(c_COMBC(_u13837, _u13837, tc_HOL_Obool), c_fequal), _u13835))), _u13833)) = c_Orderings_Obot__class_Obot(tc_fun(_u13837, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u13841, _u13843)) | ( hAPP(c_Set_OCollect(_u13845), hAPP(hAPP(c_COMBS(_u13845, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13845), c_fconj), hAPP(c_fequal, _u13843))), _u13841)) = hAPP(hAPP(c_Set_Oinsert(_u13845), _u13843), c_Orderings_Obot__class_Obot(tc_fun(_u13845, tc_HOL_Obool)))) )).
% 13.05/13.27 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u13842, _u13844)) | ( hAPP(c_Set_OCollect(_u13846), hAPP(hAPP(c_COMBS(_u13846, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13846), c_fconj), hAPP(c_fequal, _u13844))), _u13842)) = c_Orderings_Obot__class_Obot(tc_fun(_u13846, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u13847), hAPP(hAPP(c_COMBC(_u13847, _u13847, tc_HOL_Obool), c_fequal), _u13848)) = hAPP(hAPP(c_Set_Oinsert(_u13847), _u13848), c_Orderings_Obot__class_Obot(tc_fun(_u13847, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u13849), hAPP(c_fequal, _u13850)) = hAPP(hAPP(c_Set_Oinsert(_u13849), _u13850), c_Orderings_Obot__class_Obot(tc_fun(_u13849, tc_HOL_Obool)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13851, tc_HOL_Obool)), _u13852), _u13853) = hAPP(c_Set_OCollect(_u13851), hAPP(hAPP(c_COMBS(_u13851, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13851), c_fconj), hAPP(hAPP(c_COMBC(_u13851, tc_fun(_u13851, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13851)), _u13852))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13851), c_fNot), hAPP(hAPP(c_COMBC(_u13851, tc_fun(_u13851, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13851)), _u13853))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), _u13855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13854), c_fNot), _u13855)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), c_Orderings_Otop__class_Otop(tc_fun(_u13854, tc_HOL_Obool)))) )).
% 13.05/13.27 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), _u13855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), c_Orderings_Otop__class_Otop(tc_fun(_u13854, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13854), c_fNot), _u13855)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13856), _u13857), _u13858) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13856, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13856), hAPP(hAPP(c_COMBC(_u13856, _u13856, tc_HOL_Obool), c_fequal), _u13857))), _u13858)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13859, tc_HOL_Obool)), _u13860) = hAPP(c_Set_OCollect(_u13859), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13859), c_fNot), hAPP(hAPP(c_COMBC(_u13859, tc_fun(_u13859, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13859)), _u13860)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13861, _u13862, _u13863), _u13864) = hAPP(c_Set_OCollect(_u13861), hAPP(hAPP(c_COMBC(_u13861, tc_fun(_u13862, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13862, tc_fun(tc_fun(_u13862, tc_HOL_Obool), tc_HOL_Obool), _u13861), c_member(_u13862)), _u13863)), _u13864))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13865), hAPP(hAPP(c_COMBS(_u13865, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13865), c_fimplies), _u13866)), _u13867)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13865, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13865, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13865), _u13866))), hAPP(c_Set_OCollect(_u13865), _u13867))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__def-1, axiom, ( ( c_Map_Odom(_u13868, _u13869, _u13870) = hAPP(c_Set_OCollect(_u13868), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13868), c_fNot), hAPP(hAPP(c_COMBC(_u13868, tc_Option_Ooption(_u13869), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u13869), tc_fun(tc_Option_Ooption(_u13869), tc_HOL_Obool), _u13868), c_fequal), _u13870)), c_Option_Ooption_ONone(_u13869))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 13.05/13.27 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), _u13871)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u13872))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13874), _u13875)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13876), _u13877)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13874, _u13873), hAPP(hAPP(c_COMBS(_u13874, tc_fun(_u13876, tc_HOL_Obool), _u13873), hAPP(hAPP(c_COMBB(tc_fun(_u13876, _u13873), tc_fun(tc_fun(_u13876, tc_HOL_Obool), _u13873), _u13874), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13873)), _u13878)), hAPP(hAPP(c_COMBB(tc_fun(_u13876, tc_HOL_Obool), tc_fun(_u13876, tc_HOL_Obool), _u13874), c_Set_OCollect(_u13876)), hAPP(hAPP(c_COMBB(tc_fun(_u13876, tc_HOL_Obool), tc_fun(_u13876, tc_HOL_Obool), _u13874), hAPP(c_COMBS(_u13876, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13876), c_fconj), hAPP(hAPP(c_COMBC(_u13876, tc_fun(_u13876, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13876)), _u13877)))), _u13879)))), _u13875) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13873), hAPP(hAPP(c_COMBS(_u13876, tc_fun(_u13874, tc_HOL_Obool), _u13873), hAPP(hAPP(c_COMBB(tc_fun(_u13874, _u13873), tc_fun(tc_fun(_u13874, tc_HOL_Obool), _u13873), _u13876), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13874, _u13873)), hAPP(c_COMBC(_u13874, _u13876, _u13873), _u13878))), hAPP(hAPP(c_COMBB(tc_fun(_u13874, tc_HOL_Obool), tc_fun(_u13874, tc_HOL_Obool), _u13876), c_Set_OCollect(_u13874)), hAPP(hAPP(c_COMBB(tc_fun(_u13874, tc_HOL_Obool), tc_fun(_u13874, tc_HOL_Obool), _u13876), hAPP(c_COMBS(_u13874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13874), c_fconj), hAPP(hAPP(c_COMBC(_u13874, tc_fun(_u13874, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13874)), _u13875)))), hAPP(c_COMBC(_u13874, _u13876, tc_HOL_Obool), _u13879))))), _u13877)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u13880, _u13881, hAPP(hAPP(c_COMBS(_u13880, _u13881, _u13881), hAPP(hAPP(c_COMBS(_u13880, _u13881, tc_fun(_u13881, _u13881)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13881, tc_fun(_u13881, _u13881)), _u13880), c_If(_u13881)), _u13882)), _u13883)), _u13884)), _u13885) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13881, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13880, _u13881, _u13883), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13880, tc_HOL_Obool)), _u13885), hAPP(c_Set_OCollect(_u13880), _u13882)))), hAPP(c_Set_Oimage(_u13880, _u13881, _u13884), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13880, tc_HOL_Obool)), _u13885), hAPP(c_Set_OCollect(_u13880), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13880), c_fNot), _u13882)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__if ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__if-1, axiom, ( ( c_Map_Odom(_u13886, _u13887, hAPP(hAPP(c_COMBS(_u13886, tc_Option_Ooption(_u13887), tc_Option_Ooption(_u13887)), hAPP(hAPP(c_COMBS(_u13886, tc_Option_Ooption(_u13887), tc_fun(tc_Option_Ooption(_u13887), tc_Option_Ooption(_u13887))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u13887), tc_fun(tc_Option_Ooption(_u13887), tc_Option_Ooption(_u13887))), _u13886), c_If(tc_Option_Ooption(_u13887))), _u13888)), _u13889)), _u13890)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13886, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13886, tc_HOL_Obool)), c_Map_Odom(_u13886, _u13887, _u13889)), hAPP(c_Set_OCollect(_u13886), _u13888))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13886, tc_HOL_Obool)), c_Map_Odom(_u13886, _u13887, _u13890)), hAPP(c_Set_OCollect(_u13886), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13886), c_fNot), _u13888))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u13891 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u13892, _u13893), 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)), _u13894)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13891)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13896), _u13897)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13896, _u13895), _u13898), hAPP(c_Set_OCollect(_u13896), hAPP(hAPP(c_COMBS(_u13896, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13896), c_fconj), hAPP(hAPP(c_COMBC(_u13896, tc_fun(_u13896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13896)), _u13897))), hAPP(hAPP(c_COMBC(_u13896, tc_fun(_u13896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13896)), _u13899)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13896, _u13895), hAPP(hAPP(c_COMBC(_u13896, _u13895, _u13895), hAPP(hAPP(c_COMBS(_u13896, _u13895, tc_fun(_u13895, _u13895)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13895, tc_fun(_u13895, _u13895)), _u13896), c_If(_u13895)), hAPP(hAPP(c_COMBC(_u13896, tc_fun(_u13896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13896)), _u13899))), _u13898)), c_Groups_Ozero__class_Ozero(_u13895))), _u13897)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13901), _u13902)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13901, _u13900), _u13903), _u13902) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13904, _u13900), hAPP(hAPP(c_COMBB(tc_fun(_u13901, tc_HOL_Obool), _u13900, _u13904), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13901, _u13900), _u13903)), hAPP(hAPP(c_COMBB(tc_fun(_u13901, tc_HOL_Obool), tc_fun(_u13901, tc_HOL_Obool), _u13904), c_Set_OCollect(_u13901)), hAPP(hAPP(c_COMBB(tc_fun(_u13901, tc_HOL_Obool), tc_fun(_u13901, tc_HOL_Obool), _u13904), hAPP(c_COMBS(_u13901, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13901), c_fconj), hAPP(hAPP(c_COMBC(_u13901, tc_fun(_u13901, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13901)), _u13902)))), hAPP(c_COMBC(_u13901, _u13904, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13904, tc_fun(_u13904, tc_HOL_Obool), _u13901), c_fequal), _u13905)))))), hAPP(c_Set_Oimage(_u13901, _u13904, _u13905), _u13902))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u13906, _u13907, _u13908), hAPP(hAPP(c_Set_Oinsert(_u13906), _u13909), c_Orderings_Obot__class_Obot(tc_fun(_u13906, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u13907), hAPP(hAPP(c_COMBC(_u13907, tc_fun(tc_prod(_u13906, _u13907), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13906, _u13907), tc_fun(tc_fun(tc_prod(_u13906, _u13907), tc_HOL_Obool), tc_HOL_Obool), _u13907), c_member(tc_prod(_u13906, _u13907))), hAPP(c_Product__Type_OPair(_u13906, _u13907), _u13909))), _u13908))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13910) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13911), _u13912)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13911, _u13910), hAPP(hAPP(c_COMBS(_u13911, _u13910, _u13910), hAPP(hAPP(c_COMBS(_u13911, _u13910, tc_fun(_u13910, _u13910)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13910, tc_fun(_u13910, _u13910)), _u13911), c_If(_u13910)), _u13913)), _u13914)), _u13915)), _u13912) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13910), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13911, _u13910), _u13914), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13911, tc_HOL_Obool)), _u13912), hAPP(c_Set_OCollect(_u13911), _u13913)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13911, _u13910), _u13915), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13911, tc_HOL_Obool)), _u13912), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13911, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13911), _u13913)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_dom__override__on ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_dom__override__on-1, axiom, ( ( c_Map_Odom(_u13916, _u13917, c_Fun_Ooverride__on(_u13916, tc_Option_Ooption(_u13917), _u13918, _u13919, _u13920)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13916, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13916, tc_HOL_Obool)), c_Map_Odom(_u13916, _u13917, _u13918)), hAPP(c_Set_OCollect(_u13916), hAPP(hAPP(c_COMBC(_u13916, tc_fun(_u13916, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13916)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13916, tc_HOL_Obool)), _u13920), c_Map_Odom(_u13916, _u13917, _u13919)))))), hAPP(c_Set_OCollect(_u13916), hAPP(hAPP(c_COMBC(_u13916, tc_fun(_u13916, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13916)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13916, tc_HOL_Obool)), _u13920), c_Map_Odom(_u13916, _u13917, _u13919)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13922), _u13923)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13924), _u13925)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_Nat_Onat, _u13922), c_Finite__Set_Ocard(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), c_Set_OCollect(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), hAPP(c_COMBS(_u13924, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13924), c_fconj), hAPP(hAPP(c_COMBC(_u13924, tc_fun(_u13924, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13924)), _u13925)))), _u13926)))), _u13923) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u13927), hAPP(c_Finite__Set_Ocard(_u13924), _u13925))) | hBOOL(hAPP(hAPP(c_member(_u13924), skolem319(_u13927, _u13926, _u13925, _u13924, _u13923, _u13922)), _u13925)) )).
% 13.05/13.27 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13922), _u13923)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13924), _u13925)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_Nat_Onat, _u13922), c_Finite__Set_Ocard(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), c_Set_OCollect(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), hAPP(c_COMBS(_u13924, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13924), c_fconj), hAPP(hAPP(c_COMBC(_u13924, tc_fun(_u13924, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13924)), _u13925)))), _u13926)))), _u13923) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u13927), hAPP(c_Finite__Set_Ocard(_u13924), _u13925))) | ( hAPP(c_Finite__Set_Ocard(_u13922), hAPP(c_Set_OCollect(_u13922), hAPP(hAPP(c_COMBS(_u13922, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13922), c_fconj), hAPP(hAPP(c_COMBC(_u13922, tc_fun(_u13922, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13922)), _u13923))), hAPP(hAPP(c_COMBC(_u13922, _u13924, tc_HOL_Obool), _u13926), skolem319(_u13927, _u13926, _u13925, _u13924, _u13923, _u13922))))) != _u13927) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u13928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13928), _u13929)) | ( _u13929 = c_Orderings_Obot__class_Obot(tc_fun(_u13928, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13928), _u13930)) | ( _u13930 = c_Orderings_Obot__class_Obot(tc_fun(_u13928, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u13928), c_Big__Operators_Olattice_OSup__fin(_u13928, c_Orderings_Oord__class_Omax(_u13928), _u13929)), c_Big__Operators_Olattice_OSup__fin(_u13928, c_Orderings_Oord__class_Omax(_u13928), _u13930)) = c_Big__Operators_Olattice_OSup__fin(_u13928, c_Orderings_Oord__class_Omax(_u13928), hAPP(c_Set_OCollect(_u13928), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool, _u13928), c_HOL_OEx(_u13928)), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_HOL_Obool), _u13928), hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool, _u13928), c_HOL_OEx(_u13928))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool))), tc_fun(tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), _u13928), c_COMBS(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13928, tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool))), _u13928), hAPP(c_COMBB(tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool)), _u13928), c_COMBS(_u13928, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13928), hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13928), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13928), c_fconj))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_fun(_u13928, _u13928)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13928, _u13928), tc_fun(_u13928, tc_HOL_Obool)), tc_fun(tc_fun(_u13928, tc_fun(_u13928, _u13928)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), _u13928), c_COMBB(tc_fun(_u13928, _u13928), tc_fun(_u13928, tc_HOL_Obool), _u13928)), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_fun(tc_fun(_u13928, _u13928), tc_fun(_u13928, tc_HOL_Obool)), _u13928), c_COMBB(_u13928, tc_HOL_Obool, _u13928)), c_fequal))), c_Orderings_Oord__class_Omin(_u13928)))))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool)), _u13928), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13928)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13928), c_fconj), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13928)), _u13929)))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13928)), _u13930)))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13931), _u13932)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13931, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u13931, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u13931, tc_HOL_Obool), tc_fun(_u13931, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u13931, tc_HOL_Obool))), _u13932)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u13933), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13933, tc_HOL_Obool)), _u13934)) = hAPP(c_Set_OCollect(tc_fun(_u13933, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u13933, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u13933, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u13933, tc_HOL_Obool)), c_COMBS(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u13933, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u13933, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(_u13933, tc_HOL_Obool)), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(_u13933, tc_HOL_Obool)), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u13933, tc_HOL_Obool)), c_COMBB(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u13933, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u13933, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u13933, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u13933, tc_HOL_Obool)), _u13934)), c_Set_OPow(_u13933)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u13935), _u13936) = hAPP(c_Set_OCollect(tc_fun(_u13935, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u13935, tc_HOL_Obool), tc_fun(_u13935, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u13935, tc_HOL_Obool))), _u13936))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13937), hAPP(c_Set_OCollect(_u13937), _u13938))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13939), hAPP(c_Set_OCollect(_u13939), hAPP(hAPP(c_COMBB(tc_fun(_u13937, tc_HOL_Obool), tc_HOL_Obool, _u13939), c_HOL_OEx(_u13937)), hAPP(hAPP(c_COMBC(_u13939, tc_fun(_u13937, tc_HOL_Obool), tc_fun(_u13937, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13937, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13937, tc_HOL_Obool), tc_fun(_u13937, tc_HOL_Obool)), _u13939), c_COMBS(_u13937, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13937, tc_HOL_Obool), tc_fun(_u13937, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13939), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13937), c_fconj)), hAPP(hAPP(c_COMBC(_u13939, tc_fun(_u13937, _u13939), tc_fun(_u13937, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13939, tc_HOL_Obool), tc_fun(tc_fun(_u13937, _u13939), tc_fun(_u13937, tc_HOL_Obool)), _u13939), c_COMBB(_u13939, tc_HOL_Obool, _u13937)), c_fequal)), _u13940)))), _u13938))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), hAPP(c_Set_OCollect(_u13943), _u13944))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_HOL_Obool, _u13945), c_HOL_OEx(_u13943)), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_fun(_u13943, tc_HOL_Obool), _u13945), hAPP(c_COMBS(_u13943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13943), c_fconj), _u13944))), _u13946))))) | ~hBOOL(hAPP(_u13944, _u13941)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBC(_u13945, _u13943, tc_HOL_Obool), _u13946), _u13941)))) )).
% 13.05/13.27 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), hAPP(c_Set_OCollect(_u13943), _u13944))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_HOL_Obool, _u13945), c_HOL_OEx(_u13943)), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_fun(_u13943, tc_HOL_Obool), _u13945), hAPP(c_COMBS(_u13943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13943), c_fconj), _u13944))), _u13946))))) | hBOOL(hAPP(_u13944, skolem320(_u13946, _u13945, _u13944, _u13943))) )).
% 13.05/13.27 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), hAPP(c_Set_OCollect(_u13943), _u13944))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_HOL_Obool, _u13945), c_HOL_OEx(_u13943)), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_fun(_u13943, tc_HOL_Obool), _u13945), hAPP(c_COMBS(_u13943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13943), c_fconj), _u13944))), _u13946))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBC(_u13945, _u13943, tc_HOL_Obool), _u13946), skolem320(_u13946, _u13945, _u13944, _u13943))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13947), _u13948), _u13949)) | ( hAPP(c_Fun_Ooverride__on(_u13947, _u13950, _u13951, _u13952, _u13949), _u13948) = hAPP(_u13951, _u13948)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13953), _u13954), _u13955)) | ( hAPP(c_Fun_Ooverride__on(_u13953, _u13956, _u13957, _u13958, _u13955), _u13954) = hAPP(_u13958, _u13954)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u13959, _u13960, _u13961, _u13962, c_Orderings_Obot__class_Obot(tc_fun(_u13959, tc_HOL_Obool))) = _u13961) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u13963, _u13964), tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), tc_fun(_u13963, _u13964)), c_Set_OCollect(tc_prod(_u13963, _u13964))), hAPP(hAPP(c_COMBB(tc_fun(_u13963, tc_fun(_u13964, tc_HOL_Obool)), tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), tc_fun(_u13963, _u13964)), c_Product__Type_Oprod_Oprod__case(_u13963, _u13964, tc_HOL_Obool)), hAPP(c_COMBB(_u13964, tc_fun(_u13964, tc_HOL_Obool), _u13963), hAPP(c_COMBC(_u13964, _u13964, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u13963, _u13964), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 13.05/13.27 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)))), _u13965))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13972), _u13974), _u13976)) | ( hAPP(c_Fun_Ooverride__on(_u13972, _u13978, _u13980, _u13982, _u13976), _u13974) = hAPP(_u13982, _u13974)) )).
% 13.05/13.27 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13973), _u13975), _u13977)) | ( hAPP(c_Fun_Ooverride__on(_u13973, _u13979, _u13981, _u13983, _u13977), _u13975) = hAPP(_u13981, _u13975)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u13984) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u13984, tc_HOL_Obool), tc_fun(_u13984, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u13984, tc_HOL_Obool), tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u13984, tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u13984, tc_HOL_Obool)), c_COMBS(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u13984, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u13984, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u13984, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u13984))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ran__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ran__def-1, axiom, ( ( c_Map_Oran(_u13985, _u13986, _u13987) = hAPP(c_Set_OCollect(_u13986), hAPP(hAPP(c_COMBB(tc_fun(_u13985, tc_HOL_Obool), tc_HOL_Obool, _u13986), c_HOL_OEx(_u13985)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u13986), tc_fun(_u13985, tc_HOL_Obool), _u13986), hAPP(c_COMBC(_u13985, tc_Option_Ooption(_u13986), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u13986), tc_fun(tc_Option_Ooption(_u13986), tc_HOL_Obool), _u13985), c_fequal), _u13987))), c_Option_Ooption_OSome(_u13986))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u13988, _u13989), _u13990), _u13991) = hAPP(c_Set_OCollect(tc_prod(_u13989, _u13989)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13989, _u13989, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13989, tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_fun(_u13989, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13989, tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_fun(_u13989, tc_HOL_Obool)), _u13989), c_COMBC(_u13989, tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13989, tc_prod(_u13988, _u13988)), tc_fun(_u13989, tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool)), _u13989), hAPP(c_COMBB(tc_prod(_u13988, _u13988), tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool), _u13989), c_member(tc_prod(_u13988, _u13988)))), hAPP(hAPP(c_COMBC(_u13989, tc_fun(_u13989, _u13988), tc_fun(_u13989, tc_prod(_u13988, _u13988))), hAPP(hAPP(c_COMBB(tc_fun(_u13988, tc_prod(_u13988, _u13988)), tc_fun(tc_fun(_u13989, _u13988), tc_fun(_u13989, tc_prod(_u13988, _u13988))), _u13989), c_COMBB(_u13988, tc_prod(_u13988, _u13988), _u13989)), hAPP(hAPP(c_COMBB(_u13988, tc_fun(_u13988, tc_prod(_u13988, _u13988)), _u13989), c_Product__Type_OPair(_u13988, _u13988)), _u13991))), _u13991)))), _u13990)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 13.05/13.27 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)))), _u13992)) = 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), _u13992), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u13993) = 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), _u13993), c_Int_Onat))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13994), _u13995)) | ( _u13995 = c_Orderings_Obot__class_Obot(tc_fun(_u13994, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13994), _u13996), c_Big__Operators_Olinorder__class_OMax(_u13994, _u13995)) = c_Big__Operators_Olinorder__class_OMax(_u13994, hAPP(c_Set_OCollect(_u13994), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_HOL_Obool, _u13994), c_HOL_OEx(_u13994)), hAPP(hAPP(c_COMBC(_u13994, tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), _u13994), c_COMBS(_u13994, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13994), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13994), c_fconj)), hAPP(hAPP(c_COMBC(_u13994, tc_fun(_u13994, _u13994), tc_fun(_u13994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_fun(tc_fun(_u13994, _u13994), tc_fun(_u13994, tc_HOL_Obool)), _u13994), c_COMBB(_u13994, tc_HOL_Obool, _u13994)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13994), _u13996))))), hAPP(hAPP(c_COMBC(_u13994, tc_fun(_u13994, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13994)), _u13995)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13997), _u13998)) | ( _u13998 = c_Orderings_Obot__class_Obot(tc_fun(_u13997, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13997), _u13999), c_Big__Operators_Olinorder__class_OMin(_u13997, _u13998)) = c_Big__Operators_Olinorder__class_OMin(_u13997, hAPP(c_Set_OCollect(_u13997), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_HOL_Obool), tc_HOL_Obool, _u13997), c_HOL_OEx(_u13997)), hAPP(hAPP(c_COMBC(_u13997, tc_fun(_u13997, tc_HOL_Obool), tc_fun(_u13997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13997, tc_HOL_Obool), tc_fun(_u13997, tc_HOL_Obool)), _u13997), c_COMBS(_u13997, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_HOL_Obool), tc_fun(_u13997, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13997), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13997), c_fconj)), hAPP(hAPP(c_COMBC(_u13997, tc_fun(_u13997, _u13997), tc_fun(_u13997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_HOL_Obool), tc_fun(tc_fun(_u13997, _u13997), tc_fun(_u13997, tc_HOL_Obool)), _u13997), c_COMBB(_u13997, tc_HOL_Obool, _u13997)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13997), _u13999))))), hAPP(hAPP(c_COMBC(_u13997, tc_fun(_u13997, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13997)), _u13998)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14001)) | ( _u14001 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14002)) | ( _u14002 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14000), c_Big__Operators_Olattice__class_OInf__fin(_u14000, _u14001)), c_Big__Operators_Olattice__class_OInf__fin(_u14000, _u14002)) = c_Big__Operators_Olattice__class_OInf__fin(_u14000, hAPP(c_Set_OCollect(_u14000), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool, _u14000), c_HOL_OEx(_u14000)), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_HOL_Obool), _u14000), hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool, _u14000), c_HOL_OEx(_u14000))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), tc_fun(tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), _u14000), c_COMBS(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14000, tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), _u14000), hAPP(c_COMBB(tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14000), c_COMBS(_u14000, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14000), hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14000), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14000), c_fconj))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_fun(_u14000, _u14000)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14000, _u14000), tc_fun(_u14000, tc_HOL_Obool)), tc_fun(tc_fun(_u14000, tc_fun(_u14000, _u14000)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), _u14000), c_COMBB(tc_fun(_u14000, _u14000), tc_fun(_u14000, tc_HOL_Obool), _u14000)), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_fun(tc_fun(_u14000, _u14000), tc_fun(_u14000, tc_HOL_Obool)), _u14000), c_COMBB(_u14000, tc_HOL_Obool, _u14000)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u14000)))))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14000), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14000)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14000), c_fconj), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14000)), _u14001)))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14000)), _u14002)))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14003) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14003), _u14004)) | ( _u14004 = c_Orderings_Obot__class_Obot(tc_fun(_u14003, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14003), _u14005), c_Big__Operators_Olattice__class_OInf__fin(_u14003, _u14004)) = c_Big__Operators_Olattice__class_OInf__fin(_u14003, hAPP(c_Set_OCollect(_u14003), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_HOL_Obool), tc_HOL_Obool, _u14003), c_HOL_OEx(_u14003)), hAPP(hAPP(c_COMBC(_u14003, tc_fun(_u14003, tc_HOL_Obool), tc_fun(_u14003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14003, tc_HOL_Obool), tc_fun(_u14003, tc_HOL_Obool)), _u14003), c_COMBS(_u14003, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_HOL_Obool), tc_fun(_u14003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14003), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14003), c_fconj)), hAPP(hAPP(c_COMBC(_u14003, tc_fun(_u14003, _u14003), tc_fun(_u14003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_HOL_Obool), tc_fun(tc_fun(_u14003, _u14003), tc_fun(_u14003, tc_HOL_Obool)), _u14003), c_COMBB(_u14003, tc_HOL_Obool, _u14003)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14003), _u14005))))), hAPP(hAPP(c_COMBC(_u14003, tc_fun(_u14003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14003)), _u14004)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14006), _u14007)) | ( _u14007 = c_Orderings_Obot__class_Obot(tc_fun(_u14006, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14006), _u14008), c_Big__Operators_Olattice__class_OSup__fin(_u14006, _u14007)) = c_Big__Operators_Olattice__class_OSup__fin(_u14006, hAPP(c_Set_OCollect(_u14006), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_HOL_Obool), tc_HOL_Obool, _u14006), c_HOL_OEx(_u14006)), hAPP(hAPP(c_COMBC(_u14006, tc_fun(_u14006, tc_HOL_Obool), tc_fun(_u14006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14006, tc_HOL_Obool), tc_fun(_u14006, tc_HOL_Obool)), _u14006), c_COMBS(_u14006, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_HOL_Obool), tc_fun(_u14006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14006), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14006), c_fconj)), hAPP(hAPP(c_COMBC(_u14006, tc_fun(_u14006, _u14006), tc_fun(_u14006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_HOL_Obool), tc_fun(tc_fun(_u14006, _u14006), tc_fun(_u14006, tc_HOL_Obool)), _u14006), c_COMBB(_u14006, tc_HOL_Obool, _u14006)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14006), _u14008))))), hAPP(hAPP(c_COMBC(_u14006, tc_fun(_u14006, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14006)), _u14007)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u14009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14009), _u14010)) | ( _u14010 = c_Orderings_Obot__class_Obot(tc_fun(_u14009, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14009), _u14011)) | ( _u14011 = c_Orderings_Obot__class_Obot(tc_fun(_u14009, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14009), c_Big__Operators_Olattice__class_OSup__fin(_u14009, _u14010)), c_Big__Operators_Olattice__class_OSup__fin(_u14009, _u14011)) = c_Big__Operators_Olattice__class_OSup__fin(_u14009, hAPP(c_Set_OCollect(_u14009), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool, _u14009), c_HOL_OEx(_u14009)), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_HOL_Obool), _u14009), hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool, _u14009), c_HOL_OEx(_u14009))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool))), tc_fun(tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), _u14009), c_COMBS(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14009, tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool))), _u14009), hAPP(c_COMBB(tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool)), _u14009), c_COMBS(_u14009, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14009), hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14009), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14009), c_fconj))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_fun(_u14009, _u14009)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14009, _u14009), tc_fun(_u14009, tc_HOL_Obool)), tc_fun(tc_fun(_u14009, tc_fun(_u14009, _u14009)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), _u14009), c_COMBB(tc_fun(_u14009, _u14009), tc_fun(_u14009, tc_HOL_Obool), _u14009)), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_fun(tc_fun(_u14009, _u14009), tc_fun(_u14009, tc_HOL_Obool)), _u14009), c_COMBB(_u14009, tc_HOL_Obool, _u14009)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u14009)))))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool)), _u14009), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14009)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14009), c_fconj), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14009)), _u14010)))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14009)), _u14011)))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14012), _u14013)) | ( _u14013 = c_Orderings_Obot__class_Obot(tc_fun(_u14012, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14012), _u14014), c_Big__Operators_Olattice_OInf__fin(_u14012, c_Orderings_Oord__class_Omin(_u14012), _u14013)) = c_Big__Operators_Olattice_OInf__fin(_u14012, c_Orderings_Oord__class_Omin(_u14012), hAPP(c_Set_OCollect(_u14012), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_HOL_Obool), tc_HOL_Obool, _u14012), c_HOL_OEx(_u14012)), hAPP(hAPP(c_COMBC(_u14012, tc_fun(_u14012, tc_HOL_Obool), tc_fun(_u14012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14012, tc_HOL_Obool), tc_fun(_u14012, tc_HOL_Obool)), _u14012), c_COMBS(_u14012, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_HOL_Obool), tc_fun(_u14012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14012), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14012), c_fconj)), hAPP(hAPP(c_COMBC(_u14012, tc_fun(_u14012, _u14012), tc_fun(_u14012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_HOL_Obool), tc_fun(tc_fun(_u14012, _u14012), tc_fun(_u14012, tc_HOL_Obool)), _u14012), c_COMBB(_u14012, tc_HOL_Obool, _u14012)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u14012), _u14014))))), hAPP(hAPP(c_COMBC(_u14012, tc_fun(_u14012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14012)), _u14013)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14015), _u14016)) | ( _u14016 = c_Orderings_Obot__class_Obot(tc_fun(_u14015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14015), _u14017), c_Big__Operators_Olattice_OSup__fin(_u14015, c_Orderings_Oord__class_Omax(_u14015), _u14016)) = c_Big__Operators_Olattice_OSup__fin(_u14015, c_Orderings_Oord__class_Omax(_u14015), hAPP(c_Set_OCollect(_u14015), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_HOL_Obool), tc_HOL_Obool, _u14015), c_HOL_OEx(_u14015)), hAPP(hAPP(c_COMBC(_u14015, tc_fun(_u14015, tc_HOL_Obool), tc_fun(_u14015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14015, tc_HOL_Obool), tc_fun(_u14015, tc_HOL_Obool)), _u14015), c_COMBS(_u14015, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_HOL_Obool), tc_fun(_u14015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14015), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14015), c_fconj)), hAPP(hAPP(c_COMBC(_u14015, tc_fun(_u14015, _u14015), tc_fun(_u14015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_HOL_Obool), tc_fun(tc_fun(_u14015, _u14015), tc_fun(_u14015, tc_HOL_Obool)), _u14015), c_COMBB(_u14015, tc_HOL_Obool, _u14015)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u14015), _u14017))))), hAPP(hAPP(c_COMBC(_u14015, tc_fun(_u14015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14015)), _u14016)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u14018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( _u14019 = c_Orderings_Obot__class_Obot(tc_fun(_u14018, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14020)) | ( _u14020 = c_Orderings_Obot__class_Obot(tc_fun(_u14018, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14018), c_Big__Operators_Olattice_OInf__fin(_u14018, c_Orderings_Oord__class_Omin(_u14018), _u14019)), c_Big__Operators_Olattice_OInf__fin(_u14018, c_Orderings_Oord__class_Omin(_u14018), _u14020)) = c_Big__Operators_Olattice_OInf__fin(_u14018, c_Orderings_Oord__class_Omin(_u14018), hAPP(c_Set_OCollect(_u14018), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool, _u14018), c_HOL_OEx(_u14018)), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_HOL_Obool), _u14018), hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool, _u14018), c_HOL_OEx(_u14018))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool))), tc_fun(tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), _u14018), c_COMBS(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14018, tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool))), _u14018), hAPP(c_COMBB(tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool)), _u14018), c_COMBS(_u14018, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14018), hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14018), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14018), c_fconj))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_fun(_u14018, _u14018)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14018, _u14018), tc_fun(_u14018, tc_HOL_Obool)), tc_fun(tc_fun(_u14018, tc_fun(_u14018, _u14018)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), _u14018), c_COMBB(tc_fun(_u14018, _u14018), tc_fun(_u14018, tc_HOL_Obool), _u14018)), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_fun(tc_fun(_u14018, _u14018), tc_fun(_u14018, tc_HOL_Obool)), _u14018), c_COMBB(_u14018, tc_HOL_Obool, _u14018)), c_fequal))), c_Orderings_Oord__class_Omax(_u14018)))))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool)), _u14018), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14018)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14018), c_fconj), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14018)), _u14019)))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14018)), _u14020)))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u14021, _u14022, _u14023, _u14024) = hAPP(c_Set_OCollect(tc_prod(_u14021, _u14022)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14021, _u14022, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14021, tc_fun(_u14022, tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14022, tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), _u14021), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14022)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14021), c_fconj), hAPP(hAPP(c_COMBC(_u14021, tc_fun(_u14021, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14021)), _u14023)))), hAPP(hAPP(c_COMBC(_u14022, tc_fun(_u14022, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14022)), _u14024))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u14025) = 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), _u14025)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u14026) = 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), _u14026)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u14029, _u14031) | c_Relation_Orefl__on(_u14029, c_Orderings_Otop__class_Otop(tc_fun(_u14029, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14029, _u14029)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14029, _u14029, tc_HOL_Obool), _u14031))) )).
% 13.05/13.27 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u14030, c_Orderings_Otop__class_Otop(tc_fun(_u14030, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14030, _u14030)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14030, _u14030, tc_HOL_Obool), _u14032))) | c_Predicate_Oreflp(_u14030, _u14032) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u14034, _u14035), _u14035)) | ~c_Predicate_Oreflp(_u14033, _u14034) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u14036) | ~c_Fun_Oinj__on(tc_prod(_u14037, _u14038), _u14036, hAPP(c_Product__Type_Oprod_Oprod__case(_u14037, _u14038, _u14036), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), hAPP(hAPP(c_COMBB(tc_fun(_u14036, _u14036), tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), _u14037), c_COMBB(_u14036, _u14036, _u14038)), hAPP(hAPP(c_COMBB(_u14036, tc_fun(_u14036, _u14036), _u14037), c_Groups_Otimes__class_Otimes(_u14036)), _u14039))), _u14040)), hAPP(hAPP(c_Product__Type_OSigma(_u14037, _u14038), _u14041), hAPP(c_COMBK(tc_fun(_u14038, tc_HOL_Obool), _u14037), _u14042))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14036), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14037, _u14036), _u14039), _u14041)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14038, _u14036), _u14040), _u14042)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14036, _u14036), c_Fun_Oid(_u14036)), hAPP(c_Set_OCollect(_u14036), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_HOL_Obool), tc_HOL_Obool, _u14036), c_HOL_OEx(_u14037)), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_HOL_Obool), _u14036), hAPP(c_COMBB(tc_fun(_u14038, tc_HOL_Obool), tc_HOL_Obool, _u14037), c_HOL_OEx(_u14038))), hAPP(hAPP(c_COMBC(_u14036, tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool))), tc_fun(tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), _u14036), c_COMBS(_u14037, tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14037, tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool))), _u14036), hAPP(c_COMBB(tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool)), _u14037), c_COMBS(_u14038, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14036), hAPP(c_COMBB(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14037), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14038), c_fconj))), hAPP(hAPP(c_COMBC(_u14036, tc_fun(_u14037, tc_fun(_u14038, _u14036)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, tc_HOL_Obool)), tc_fun(tc_fun(_u14037, tc_fun(_u14038, _u14036)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), _u14036), c_COMBB(tc_fun(_u14038, _u14036), tc_fun(_u14038, tc_HOL_Obool), _u14037)), hAPP(hAPP(c_COMBB(tc_fun(_u14036, tc_HOL_Obool), tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, tc_HOL_Obool)), _u14036), c_COMBB(_u14036, tc_HOL_Obool, _u14038)), c_fequal))), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), hAPP(hAPP(c_COMBB(tc_fun(_u14036, _u14036), tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), _u14037), c_COMBB(_u14036, _u14036, _u14038)), hAPP(hAPP(c_COMBB(_u14036, tc_fun(_u14036, _u14036), _u14037), c_Groups_Otimes__class_Otimes(_u14036)), _u14039))), _u14040)))))), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool)), _u14037), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14038)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14037), c_fconj), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14037, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14037)), _u14041)))), hAPP(hAPP(c_COMBC(_u14038, tc_fun(_u14038, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14038)), _u14042)))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14044), _u14045)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14046), _u14047)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14044, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_Nat_Onat, _u14044), c_Finite__Set_Ocard(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), c_Set_OCollect(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), hAPP(c_COMBS(_u14046, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14046), c_fconj), hAPP(hAPP(c_COMBC(_u14046, tc_fun(_u14046, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14046)), _u14047)))), _u14048)))), _u14045) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14046, tc_Nat_Onat), _u14049), _u14047)) | hBOOL(hAPP(hAPP(c_member(_u14046), skolem321(_u14049, _u14048, _u14047, _u14046, _u14045, _u14044)), _u14047)) )).
% 13.05/13.27 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14044), _u14045)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14046), _u14047)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14044, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_Nat_Onat, _u14044), c_Finite__Set_Ocard(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), c_Set_OCollect(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), hAPP(c_COMBS(_u14046, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14046), c_fconj), hAPP(hAPP(c_COMBC(_u14046, tc_fun(_u14046, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14046)), _u14047)))), _u14048)))), _u14045) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14046, tc_Nat_Onat), _u14049), _u14047)) | ( hAPP(c_Finite__Set_Ocard(_u14044), hAPP(c_Set_OCollect(_u14044), hAPP(hAPP(c_COMBS(_u14044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14044), c_fconj), hAPP(hAPP(c_COMBC(_u14044, tc_fun(_u14044, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14044)), _u14045))), hAPP(hAPP(c_COMBC(_u14044, _u14046, tc_HOL_Obool), _u14048), skolem321(_u14049, _u14048, _u14047, _u14046, _u14045, _u14044))))) != hAPP(_u14049, skolem321(_u14049, _u14048, _u14047, _u14046, _u14045, _u14044))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u14050, _u14050, c_Fun_Oid(_u14050)), _u14051) = _u14051) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14052, _u14052, c_Fun_Oid(_u14052)), _u14053) = _u14053) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u14054, _u14054, _u14055, c_Fun_Oid(_u14054)) = c_Fun_Oid(tc_prod(_u14055, _u14054))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u14056, _u14056, _u14057, c_Fun_Oid(_u14056)) = c_Fun_Oid(tc_prod(_u14056, _u14057))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u14058), _u14059) = _u14059) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_id__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u14060), _u14061) = _u14061) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u14062, _u14062, _u14063, _u14063, c_Fun_Oid(_u14062), c_Fun_Oid(_u14063)) = c_Fun_Oid(tc_prod(_u14062, _u14063))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u14064, _u14064, _u14065, _u14065, c_COMBI(_u14064), c_COMBI(_u14065)) = c_Fun_Oid(tc_prod(_u14064, _u14065))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u14066, _u14066, c_Fun_Oid(_u14066), _u14067) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u14068, _u14068, c_Fun_Oid(_u14068)), c_Orderings_Otop__class_Otop(tc_fun(_u14068, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14068, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u14069, _u14070, _u14071, _u14072) = c_Product__Type_Omap__pair(_u14071, _u14071, _u14069, _u14070, c_Fun_Oid(_u14071), _u14072)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u14073, _u14074, _u14075, _u14076) = c_Product__Type_Omap__pair(_u14073, _u14074, _u14075, _u14075, _u14076, c_Fun_Oid(_u14075))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u14077, _u14078, tc_prod(_u14077, _u14078)), c_Product__Type_OPair(_u14077, _u14078)) = c_Fun_Oid(tc_prod(_u14077, _u14078))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14079) | ~c_Fun_Oinj__on(_u14080, _u14079, _u14081, _u14082) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14080, _u14079), _u14081), _u14082) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14079, _u14079), c_Fun_Oid(_u14079)), hAPP(c_Set_Oimage(_u14080, _u14079, _u14081), _u14082))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14083) | ~c_Fun_Oinj__on(_u14084, _u14083, _u14085, _u14086) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14084, _u14083), _u14085), _u14086) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14083, _u14083), c_Fun_Oid(_u14083)), hAPP(c_Set_Oimage(_u14084, _u14083, _u14085), _u14086))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14093), _u14095)) | ( _u14095 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u14093, skolem323(_u14095, _u14093)), 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)), skolem322(_u14095, _u14093))))) )).
% 13.05/13.27 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u14096 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14094, _u14089), 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)), _u14090)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14094), _u14096)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14097, _u14098, _u14099), _u14100), _u14101) = hAPP(c_Set_OCollect(tc_prod(_u14097, _u14099)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14097, _u14099, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool)), tc_fun(_u14099, tc_HOL_Obool), _u14097), hAPP(c_COMBB(tc_fun(_u14098, tc_HOL_Obool), tc_HOL_Obool, _u14099), c_HOL_OEx(_u14098))), hAPP(hAPP(c_COMBC(_u14097, tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool)), tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), tc_fun(tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool)), tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool))), _u14097), c_COMBB(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool), _u14099)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), _u14097), c_COMBS(_u14098, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14097), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14098), c_fconj)), hAPP(hAPP(c_COMBC(_u14097, tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), _u14097), c_COMBC(_u14098, tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_prod(_u14097, _u14098)), tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool)), _u14097), hAPP(c_COMBB(tc_prod(_u14097, _u14098), tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool), _u14098), c_member(tc_prod(_u14097, _u14098)))), c_Product__Type_OPair(_u14097, _u14098)))), _u14100))))), hAPP(hAPP(c_COMBC(_u14099, tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), _u14099), c_COMBC(_u14098, tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_prod(_u14098, _u14099)), tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool)), _u14099), hAPP(c_COMBB(tc_prod(_u14098, _u14099), tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool), _u14098), c_member(tc_prod(_u14098, _u14099)))), hAPP(c_COMBC(_u14098, _u14099, tc_prod(_u14098, _u14099)), c_Product__Type_OPair(_u14098, _u14099))))), _u14101)))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14102, _u14103)), hAPP(hAPP(c_Product__Type_OPair(_u14102, _u14103), _u14104), _u14105)), _u14106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14107)), hAPP(hAPP(c_Product__Type_OPair(_u14103, _u14107), _u14105), _u14108)), _u14109)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14102, _u14107)), hAPP(hAPP(c_Product__Type_OPair(_u14102, _u14107), _u14104), _u14108)), hAPP(hAPP(c_Relation_Orel__comp(_u14102, _u14103, _u14107), _u14106), _u14109))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14110, _u14111, _u14112), _u14113), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14111, _u14112), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14110, _u14112), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14114, _u14115, _u14116), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14114, _u14115), tc_HOL_Obool))), _u14117) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14114, _u14116), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14118, _u14119, _u14120), hAPP(hAPP(c_Relation_Orel__comp(_u14118, _u14121, _u14119), _u14122), _u14123)), _u14124) = hAPP(hAPP(c_Relation_Orel__comp(_u14118, _u14121, _u14120), _u14122), hAPP(hAPP(c_Relation_Orel__comp(_u14121, _u14119, _u14120), _u14123), _u14124))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14125, _u14126), tc_HOL_Obool)), _u14127), _u14128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14126, _u14129), tc_HOL_Obool)), _u14130), _u14131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14125, _u14129), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14125, _u14126, _u14129), _u14127), _u14130)), hAPP(hAPP(c_Relation_Orel__comp(_u14125, _u14126, _u14129), _u14128), _u14131))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14132, _u14133, _u14134), _u14135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14133, _u14134), tc_HOL_Obool)), _u14136), _u14137)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14132, _u14134), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14132, _u14133, _u14134), _u14135), _u14136)), hAPP(hAPP(c_Relation_Orel__comp(_u14132, _u14133, _u14134), _u14135), _u14137))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14138, _u14139, _u14140), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14138, _u14139), tc_HOL_Obool)), _u14141), _u14142)), _u14143) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14138, _u14140), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14138, _u14139, _u14140), _u14141), _u14143)), hAPP(hAPP(c_Relation_Orel__comp(_u14138, _u14139, _u14140), _u14142), _u14143))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14144, _u14145, _u14146), _u14147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14148, tc_fun(tc_prod(_u14145, _u14146), tc_HOL_Obool)), _u14149), _u14150)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14148, tc_fun(tc_prod(_u14144, _u14146), tc_HOL_Obool)), _u14149), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14145, _u14146), tc_HOL_Obool), tc_fun(tc_prod(_u14144, _u14146), tc_HOL_Obool), _u14148), hAPP(c_Relation_Orel__comp(_u14144, _u14145, _u14146), _u14147)), _u14150))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14151, _u14152, _u14153), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14154, tc_fun(tc_prod(_u14151, _u14152), tc_HOL_Obool)), _u14155), _u14156)), _u14157) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14154, tc_fun(tc_prod(_u14151, _u14153), tc_HOL_Obool)), _u14155), hAPP(hAPP(c_COMBC(_u14154, tc_fun(tc_prod(_u14152, _u14153), tc_HOL_Obool), tc_fun(tc_prod(_u14151, _u14153), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14151, _u14152), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u14152, _u14153), tc_HOL_Obool), tc_fun(tc_prod(_u14151, _u14153), tc_HOL_Obool)), _u14154), c_Relation_Orel__comp(_u14151, _u14152, _u14153)), _u14156)), _u14157))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14158, _u14158, _u14158), _u14159), _u14160) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14158, _u14158, _u14158), _u14161), _u14160) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14158, _u14158, _u14158), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool)), _u14159), _u14161)), _u14160) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14162, _u14162, _u14162), _u14163), _u14164) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14162, _u14162, _u14162), _u14163), _u14165) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14162, _u14162, _u14162), _u14163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool)), _u14164), _u14165)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14166, _u14167), tc_HOL_Obool)), _u14168), hAPP(hAPP(c_Product__Type_OSigma(_u14166, _u14167), _u14169), hAPP(c_COMBK(tc_fun(_u14167, tc_HOL_Obool), _u14166), _u14170)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14167, _u14171), tc_HOL_Obool)), _u14172), hAPP(hAPP(c_Product__Type_OSigma(_u14167, _u14171), _u14170), hAPP(c_COMBK(tc_fun(_u14171, tc_HOL_Obool), _u14167), _u14173)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14166, _u14171), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14166, _u14167, _u14171), _u14168), _u14172)), hAPP(hAPP(c_Product__Type_OSigma(_u14166, _u14171), _u14169), hAPP(c_COMBK(tc_fun(_u14171, tc_HOL_Obool), _u14166), _u14173)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14174, _u14174), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14174, _u14174, _u14174), _u14175), _u14176)), _u14175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14174, _u14175)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14174, _u14176)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14174, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14174, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u14174, _u14175))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14177, _u14177), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14177, _u14177, _u14177), _u14178), _u14179)), _u14178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14177, _u14178)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14177, _u14179)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14177, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14177, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u14177, _u14178))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~c_Predicate_Opred__comp(_u14187, _u14189, _u14191, hAPP(hAPP(c_COMBC(_u14187, tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_fun(_u14189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14189, tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_fun(_u14189, tc_HOL_Obool)), _u14187), c_COMBC(_u14189, tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14189, tc_prod(_u14187, _u14189)), tc_fun(_u14189, tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool)), _u14187), hAPP(c_COMBB(tc_prod(_u14187, _u14189), tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool), _u14189), c_member(tc_prod(_u14187, _u14189)))), c_Product__Type_OPair(_u14187, _u14189)))), _u14193), hAPP(hAPP(c_COMBC(_u14189, tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_fun(_u14191, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14191, tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_fun(_u14191, tc_HOL_Obool)), _u14189), c_COMBC(_u14191, tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14191, tc_prod(_u14189, _u14191)), tc_fun(_u14191, tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool)), _u14189), hAPP(c_COMBB(tc_prod(_u14189, _u14191), tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool), _u14191), c_member(tc_prod(_u14189, _u14191)))), c_Product__Type_OPair(_u14189, _u14191)))), _u14195), _u14197, _u14199) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14187, _u14191)), hAPP(hAPP(c_Product__Type_OPair(_u14187, _u14191), _u14197), _u14199)), hAPP(hAPP(c_Relation_Orel__comp(_u14187, _u14189, _u14191), _u14193), _u14195))) )).
% 13.05/13.27 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14188, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14188, _u14192), _u14198), _u14200)), hAPP(hAPP(c_Relation_Orel__comp(_u14188, _u14190, _u14192), _u14194), _u14196))) | c_Predicate_Opred__comp(_u14188, _u14190, _u14192, hAPP(hAPP(c_COMBC(_u14188, tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_fun(_u14190, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14190, tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_fun(_u14190, tc_HOL_Obool)), _u14188), c_COMBC(_u14190, tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14190, tc_prod(_u14188, _u14190)), tc_fun(_u14190, tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool)), _u14188), hAPP(c_COMBB(tc_prod(_u14188, _u14190), tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool), _u14190), c_member(tc_prod(_u14188, _u14190)))), c_Product__Type_OPair(_u14188, _u14190)))), _u14194), hAPP(hAPP(c_COMBC(_u14190, tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_fun(_u14192, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14192, tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_fun(_u14192, tc_HOL_Obool)), _u14190), c_COMBC(_u14192, tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14192, tc_prod(_u14190, _u14192)), tc_fun(_u14192, tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool)), _u14190), hAPP(c_COMBB(tc_prod(_u14190, _u14192), tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool), _u14192), c_member(tc_prod(_u14190, _u14192)))), c_Product__Type_OPair(_u14190, _u14192)))), _u14196), _u14198, _u14200) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u14201, _u14202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14201, _u14201, _u14201), _u14202), _u14203)), _u14202)) | c_FunDef_Oreduction__pair(_u14201, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool), tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool)), _u14202), _u14203)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14204, _u14205), _u14206)) | ~hBOOL(hAPP(hAPP(_u14207, _u14206), _u14208)) | c_Predicate_Opred__comp(_u14209, _u14210, _u14211, _u14204, _u14207, _u14205, _u14208) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u14212, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u14213, _u14214) | c_Wellfounded_Owf(_u14215, hAPP(hAPP(c_Relation_Oinv__image(_u14213, _u14215), _u14214), _u14216)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u14217, _u14218) | ~c_Wellfounded_Owf(_u14219, _u14220) | c_Wellfounded_Owf(tc_prod(_u14217, _u14219), c_Wellfounded_Olex__prod(_u14217, _u14219, _u14218, _u14220)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u14221, hAPP(c_Wellfounded_Omeasure(_u14221), _u14222)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u14225, _u14227) | c_Wellfounded_Owf(_u14225, hAPP(hAPP(c_Relation_Orel__comp(_u14225, _u14225, _u14225), _u14227), _u14227)) )).
% 13.05/13.27 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u14226, hAPP(hAPP(c_Relation_Orel__comp(_u14226, _u14226, _u14226), _u14228), _u14228)) | c_Wellfounded_Owf(_u14226, _u14228) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u14229)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u14230, _u14231) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14230, _u14230)), hAPP(hAPP(c_Product__Type_OPair(_u14230, _u14230), _u14232), _u14232)), _u14231)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u14233, _u14234) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14235), _u14236)), _u14234)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14236), _u14235)), _u14234)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u14237, _u14238) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14237, _u14237)), hAPP(hAPP(c_Product__Type_OPair(_u14237, _u14237), _u14239), _u14240)), _u14238)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14237, _u14237)), hAPP(hAPP(c_Product__Type_OPair(_u14237, _u14237), _u14240), _u14239)), _u14238)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u14241, _u14242) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14241, _u14241)), hAPP(hAPP(c_Product__Type_OPair(_u14241, _u14241), _u14243), _u14243)), _u14242)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u14244, _u14245) | c_Wellfounded_Owf(_u14244, c_Wellfounded_Omlex__prod(_u14244, _u14246, _u14245)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u14247, _u14248) | c_Wellfounded_Owf(_u14247, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14247, _u14247), tc_HOL_Obool)), _u14249), _u14248)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u14250, _u14251) | c_Wellfounded_Owf(_u14250, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14250, _u14250), tc_HOL_Obool)), _u14251), _u14252)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u14253, _u14254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool)), _u14255), _u14254)) | c_Wellfounded_Owf(_u14253, _u14255) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u14256, _u14257) | c_Wellfounded_Owf(tc_fun(_u14256, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u14256, _u14257)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_pred__comp_Oequations-1, axiom, ( ~c_Predicate_Opred__comp(_u14267, _u14269, _u14271, _u14273, _u14275, _u14277, _u14279) | hBOOL(hAPP(hAPP(_u14273, _u14277), skolem324(_u14279, _u14277, _u14275, _u14273))) )).
% 13.05/13.27 cnf(fact_pred__comp_Oequations-2, axiom, ( ~c_Predicate_Opred__comp(_u14267, _u14269, _u14271, _u14273, _u14275, _u14277, _u14279) | hBOOL(hAPP(hAPP(_u14275, skolem324(_u14279, _u14277, _u14275, _u14273)), _u14279)) )).
% 13.05/13.27 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u14274, _u14278), _u14259)) | ~hBOOL(hAPP(hAPP(_u14276, _u14259), _u14280)) | c_Predicate_Opred__comp(_u14268, _u14270, _u14272, _u14274, _u14276, _u14278, _u14280) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u14281, _u14282) | c_Wellfounded_Owf(tc_fun(_u14281, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u14281, _u14282)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u14283, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u14283)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u14288, _u14290) | hBOOL(hAPP(hAPP(c_member(_u14288), _u14284), c_Wellfounded_Oacc(_u14288, _u14290))) )).
% 13.05/13.27 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14289), skolem325(_u14291, _u14289)), c_Wellfounded_Oacc(_u14289, _u14291))) | c_Wellfounded_Owf(_u14289, _u14291) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u14292, _u14293) | hBOOL(hAPP(hAPP(c_member(_u14292), _u14294), c_Wellfounded_Oacc(_u14292, _u14293))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u14295)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 13.05/13.27 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)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14296, _u14296, _u14296), _u14297), _u14297) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14296, _u14296), tc_HOL_Obool))) | c_Wellfounded_Owf(_u14296, _u14297) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u14301, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14301, _u14301), tc_HOL_Obool)), _u14303), _u14305)) | c_Wellfounded_Owf(_u14301, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14301, _u14301), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14301, _u14301), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14301, _u14301, _u14301), _u14303), _u14303)), hAPP(hAPP(c_Relation_Orel__comp(_u14301, _u14301, _u14301), _u14305), _u14303))), _u14305)) )).
% 13.05/13.27 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u14302, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14302, _u14302), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14302, _u14302), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14302, _u14302, _u14302), _u14304), _u14304)), hAPP(hAPP(c_Relation_Orel__comp(_u14302, _u14302, _u14302), _u14306), _u14304))), _u14306)) | c_Wellfounded_Owf(_u14302, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14302, _u14302), tc_HOL_Obool)), _u14304), _u14306)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u14313, _u14315) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14313), hAPP(_u14308, hAPP(c_Nat_OSuc, skolem326(_u14315, _u14313, _u14308)))), hAPP(_u14308, skolem326(_u14315, _u14313, _u14308)))), _u14315)) )).
% 13.05/13.27 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14314), hAPP(skolem327(_u14316, _u14314), hAPP(c_Nat_OSuc, _u14309))), hAPP(skolem327(_u14316, _u14314), _u14309))), _u14316)) | c_Wellfounded_Owf(_u14314, _u14316) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u14317, _u14318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14317, tc_HOL_Obool)), _u14319), hAPP(c_Relation_OImage(_u14317, _u14317, _u14318), _u14319))) | ( _u14319 = c_Orderings_Obot__class_Obot(tc_fun(_u14317, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u14320, _u14321) | ~c_Wellfounded_Owf(_u14320, _u14322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14320, _u14320), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14320, _u14320, _u14320), _u14321), _u14322)), _u14321)) | c_Wellfounded_Owf(_u14320, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14320, _u14320), tc_HOL_Obool)), _u14321), _u14322)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u14323) | c_Wellfounded_Owf(_u14323, hAPP(c_Set_OCollect(tc_prod(_u14323, _u14323)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14323, _u14323, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u14323)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u14326, _u14328) | c_Wellfounded_Owf(_u14326, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328)) )).
% 13.05/13.27 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u14326, _u14328) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14326, _u14326, _u14326), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328))) )).
% 13.05/13.27 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u14327, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14327, _u14327, _u14327), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329))) | c_FunDef_Oreduction__pair(_u14327, _u14329) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u14330, _u14331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14332), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool), tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14333), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool), tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14331))) | ~c_Wellfounded_Owf(_u14330, _u14333) | c_Wellfounded_Owf(_u14330, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14332), _u14333)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u14334, _u14335) | ~c_Fun_Oinj__on(_u14334, _u14336, _u14337, c_Orderings_Otop__class_Otop(tc_fun(_u14334, tc_HOL_Obool))) | c_Wellfounded_Owf(_u14336, hAPP(c_Set_Oimage(tc_prod(_u14334, _u14334), tc_prod(_u14336, _u14336), c_Product__Type_Omap__pair(_u14334, _u14336, _u14334, _u14336, _u14337, _u14337)), _u14335)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u14338, _u14339) | c_Wellfounded_Owf(tc_List_Olist(_u14338), c_List_Olenlex(_u14338, _u14339)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u14344, hAPP(c_Set_OCollect(tc_prod(_u14344, _u14344)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14344, _u14344, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(_u14344, tc_HOL_Obool), _u14344), hAPP(c_COMBS(_u14344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14344), c_fconj), _u14341))), hAPP(hAPP(c_COMBC(_u14344, tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), _u14344), c_COMBB(_u14344, tc_HOL_Obool, _u14344)), c_fequal)), _u14343))))) | hBOOL(hAPP(_u14341, skolem328(_u14344, _u14343, _u14342, _u14341))) )).
% 13.05/13.27 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u14344, hAPP(c_Set_OCollect(tc_prod(_u14344, _u14344)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14344, _u14344, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(_u14344, tc_HOL_Obool), _u14344), hAPP(c_COMBS(_u14344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14344), c_fconj), _u14341))), hAPP(hAPP(c_COMBC(_u14344, tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), _u14344), c_COMBB(_u14344, tc_HOL_Obool, _u14344)), c_fequal)), _u14343))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u14342, hAPP(_u14343, skolem328(_u14344, _u14343, _u14342, _u14341)))), hAPP(_u14342, skolem328(_u14344, _u14343, _u14342, _u14341)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 13.05/13.27 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)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u14345, _u14346) | c_Wellfounded_Owf(tc_List_Olist(_u14345), c_List_Olex(_u14345, _u14346)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u14347, _u14348) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u14347), tc_List_Olist(_u14347)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u14347, _u14348))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u14349, _u14350) | c_Wellfounded_Owf(tc_List_Olist(_u14349), hAPP(c_List_Olexn(_u14349, _u14350), _u14351)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u14352, _u14353), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u14352), tc_List_Olist(_u14352)), tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u14358, _u14356), c_Recdef_Osame__fst(_u14358, _u14356, _u14355, _u14357)) | hBOOL(hAPP(_u14355, skolem329(_u14358, _u14357, _u14356, _u14355))) )).
% 13.05/13.27 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u14358, _u14356), c_Recdef_Osame__fst(_u14358, _u14356, _u14355, _u14357)) | ~c_Wellfounded_Owf(_u14356, hAPP(_u14357, skolem329(_u14358, _u14357, _u14356, _u14355))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u14359, _u14360), hAPP(c_Set_OCollect(tc_prod(_u14359, _u14360)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14359, _u14360, tc_HOL_Obool), _u14361))) = hAPP(c_Set_OCollect(_u14360), hAPP(hAPP(c_COMBB(tc_fun(_u14359, tc_HOL_Obool), tc_HOL_Obool, _u14360), c_HOL_OEx(_u14359)), hAPP(c_COMBC(_u14359, _u14360, tc_HOL_Obool), _u14361)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14363)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14363), _u14364), _u14365)), _u14366)) | hBOOL(hAPP(hAPP(c_member(_u14363), _u14365), hAPP(c_Relation_ORange(_u14362, _u14363), _u14366))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u14367, _u14367), c_Relation_OId__on(_u14367, _u14368)) = _u14368) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u14372, _u14374), _u14376) != c_Orderings_Obot__class_Obot(tc_fun(_u14374, tc_HOL_Obool))) | ( _u14376 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14372, _u14374), tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_Range__empty__iff-2, axiom, ( ( _u14377 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14373, _u14375), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u14373, _u14375), _u14377) = c_Orderings_Obot__class_Obot(tc_fun(_u14375, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u14378, _u14379), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14378, _u14379), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u14380, _u14381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14380, _u14381), tc_HOL_Obool)), _u14382), _u14383)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14381, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14380, _u14381), _u14382)), hAPP(c_Relation_ORange(_u14380, _u14381), _u14383))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14384, _u14385)), _u14386)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14385), hAPP(c_Relation_ORange(_u14384, _u14385), _u14386))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u14387, _u14388), _u14388, c_Product__Type_Osnd(_u14387, _u14388)), _u14389) = hAPP(c_Relation_ORange(_u14387, _u14388), _u14389)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14396), _u14398), hAPP(c_Relation_ORange(_u14400, _u14396), _u14402))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14400, _u14396)), hAPP(hAPP(c_Product__Type_OPair(_u14400, _u14396), skolem330(_u14402, _u14400, _u14398, _u14396)), _u14398)), _u14402)) )).
% 13.05/13.27 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14401, _u14397)), hAPP(hAPP(c_Product__Type_OPair(_u14401, _u14397), _u14391), _u14399)), _u14403)) | hBOOL(hAPP(hAPP(c_member(_u14397), _u14399), hAPP(c_Relation_ORange(_u14401, _u14397), _u14403))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u14404, _u14405), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14404, _u14405)), hAPP(hAPP(c_Product__Type_OPair(_u14404, _u14405), _u14406), _u14407)), _u14408)) = hAPP(hAPP(c_Set_Oinsert(_u14405), _u14407), hAPP(c_Relation_ORange(_u14404, _u14405), _u14408))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14409, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14410, _u14409), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14410, _u14409), tc_HOL_Obool)), _u14411), _u14412))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14409, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14410, _u14409), _u14411)), hAPP(c_Relation_ORange(_u14410, _u14409), _u14412)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14413, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14413, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14414, _u14413), _u14415)), hAPP(c_Relation_ORange(_u14414, _u14413), _u14416))), hAPP(c_Relation_ORange(_u14414, _u14413), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14414, _u14413), tc_HOL_Obool)), _u14415), _u14416)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u14421, _u14423, hAPP(hAPP(c_COMBC(_u14421, tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_fun(_u14423, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14423, tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_fun(_u14423, tc_HOL_Obool)), _u14421), c_COMBC(_u14423, tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14423, tc_prod(_u14421, _u14423)), tc_fun(_u14423, tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool)), _u14421), hAPP(c_COMBB(tc_prod(_u14421, _u14423), tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool), _u14423), c_member(tc_prod(_u14421, _u14423)))), c_Product__Type_OPair(_u14421, _u14423)))), _u14425)), _u14427)) | hBOOL(hAPP(hAPP(c_member(_u14423), _u14427), hAPP(c_Relation_ORange(_u14421, _u14423), _u14425))) )).
% 13.05/13.27 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14424), _u14428), hAPP(c_Relation_ORange(_u14422, _u14424), _u14426))) | hBOOL(hAPP(c_Predicate_ORangeP(_u14422, _u14424, hAPP(hAPP(c_COMBC(_u14422, tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_fun(_u14424, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14424, tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_fun(_u14424, tc_HOL_Obool)), _u14422), c_COMBC(_u14424, tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14424, tc_prod(_u14422, _u14424)), tc_fun(_u14424, tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool)), _u14422), hAPP(c_COMBB(tc_prod(_u14422, _u14424), tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool), _u14424), c_member(tc_prod(_u14422, _u14424)))), c_Product__Type_OPair(_u14422, _u14424)))), _u14426)), _u14428)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14430), _u14431), hAPP(c_Relation_ORange(_u14432, _u14430), _u14433))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14432, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14432, _u14430), skolem331(_u14433, _u14432, _u14431, _u14430)), _u14431)), _u14433)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14434, _u14435), _u14436)) | hBOOL(hAPP(c_Predicate_ORangeP(_u14437, _u14438, _u14434), _u14436)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u14449, skolem332(_u14451, _u14449)), _u14451)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u14445, _u14447, _u14449), _u14451)) )).
% 13.05/13.27 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u14450, _u14440), _u14452)) | hBOOL(hAPP(c_Predicate_ORangeP(_u14446, _u14448, _u14450), _u14452)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u14453, _u14454) | ~c_Wellfounded_Owf(_u14453, _u14455) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14453, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14453, _u14453), _u14454)), hAPP(c_Relation_ORange(_u14453, _u14453), _u14455)) != c_Orderings_Obot__class_Obot(tc_fun(_u14453, tc_HOL_Obool))) | c_Wellfounded_Owf(_u14453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14453, _u14453), tc_HOL_Obool)), _u14454), _u14455)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u14458, _u14460) | c_Wellfounded_Owf(_u14458, hAPP(c_Set_OCollect(tc_prod(_u14458, _u14458)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14458, _u14458, tc_HOL_Obool), _u14460))) )).
% 13.05/13.27 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u14459, hAPP(c_Set_OCollect(tc_prod(_u14459, _u14459)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14459, _u14459, tc_HOL_Obool), _u14461))) | c_Wellfounded_OwfP(_u14459, _u14461) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u14462, hAPP(c_COMBK(tc_fun(_u14462, tc_HOL_Obool), _u14462), hAPP(c_COMBK(tc_HOL_Obool, _u14462), c_fFalse))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14464)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14464), _u14465), _u14466)), _u14467)) | hBOOL(hAPP(hAPP(c_member(_u14463), _u14465), hAPP(c_Relation_ODomain(_u14463, _u14464), _u14467))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u14472, _u14474) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14472, _u14474), _u14468)) )).
% 13.05/13.27 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u14473, _u14475), skolem333(_u14475, _u14473))) | c_Wellfounded_OwfP(_u14473, _u14475) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u14476, _u14477) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14476, _u14477), _u14478)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14479, _u14479), c_Relation_OId__on(_u14479, _u14480)) = _u14480) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u14481, _u14482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14481, tc_fun(_u14481, tc_HOL_Obool))), _u14483), _u14482)) | c_Wellfounded_OwfP(_u14481, _u14483) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14487, _u14489), _u14491) != c_Orderings_Obot__class_Obot(tc_fun(_u14487, tc_HOL_Obool))) | ( _u14491 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14487, _u14489), tc_HOL_Obool))) )).
% 13.05/13.27 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u14492 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14488, _u14490), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u14488, _u14490), _u14492) = c_Orderings_Obot__class_Obot(tc_fun(_u14488, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14493, _u14494), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14493, _u14494), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u14493, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14495, _u14496), tc_HOL_Obool)), _u14497), _u14498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14495, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14495, _u14496), _u14497)), hAPP(c_Relation_ODomain(_u14495, _u14496), _u14498))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14499, _u14500), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14499, _u14500), tc_HOL_Obool)), _u14501), _u14502)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14499, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14499, _u14500), _u14501)), hAPP(c_Relation_ODomain(_u14499, _u14500), _u14502))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14503, _u14504)), _u14505)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14503), hAPP(c_Relation_ODomain(_u14503, _u14504), _u14505))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u14506, _u14507), _u14506, c_Product__Type_Ofst(_u14506, _u14507)), _u14508) = hAPP(c_Relation_ODomain(_u14506, _u14507), _u14508)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14515), _u14517), hAPP(c_Relation_ODomain(_u14515, _u14519), _u14521))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14515, _u14519)), hAPP(hAPP(c_Product__Type_OPair(_u14515, _u14519), _u14517), skolem334(_u14521, _u14519, _u14517, _u14515))), _u14521)) )).
% 13.05/13.27 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14516, _u14520)), hAPP(hAPP(c_Product__Type_OPair(_u14516, _u14520), _u14518), _u14510)), _u14522)) | hBOOL(hAPP(hAPP(c_member(_u14516), _u14518), hAPP(c_Relation_ODomain(_u14516, _u14520), _u14522))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14523, _u14524), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14523, _u14524)), hAPP(hAPP(c_Product__Type_OPair(_u14523, _u14524), _u14525), _u14526)), _u14527)) = hAPP(hAPP(c_Set_Oinsert(_u14523), _u14525), hAPP(c_Relation_ODomain(_u14523, _u14524), _u14527))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14528, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14528, _u14529), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14528, _u14529), tc_HOL_Obool)), _u14530), _u14531))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14528, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14528, _u14529), _u14530)), hAPP(c_Relation_ODomain(_u14528, _u14529), _u14531)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14532, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14532, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14532, _u14533), _u14534)), hAPP(c_Relation_ODomain(_u14532, _u14533), _u14535))), hAPP(c_Relation_ODomain(_u14532, _u14533), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14532, _u14533), tc_HOL_Obool)), _u14534), _u14535)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u14536), _u14537) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14536, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14536, _u14536), _u14537)), hAPP(c_Relation_ORange(_u14536, _u14536), _u14537))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u14538, _u14539) | c_Wellfounded_OwfP(_u14538, c_FunDef_Oin__rel(_u14538, _u14538, _u14539)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u14542, hAPP(hAPP(c_COMBC(_u14542, tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_fun(_u14542, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14542, tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_fun(_u14542, tc_HOL_Obool)), _u14542), c_COMBC(_u14542, tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14542, tc_prod(_u14542, _u14542)), tc_fun(_u14542, tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool)), _u14542), hAPP(c_COMBB(tc_prod(_u14542, _u14542), tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool), _u14542), c_member(tc_prod(_u14542, _u14542)))), c_Product__Type_OPair(_u14542, _u14542)))), _u14544)) | c_Wellfounded_Owf(_u14542, _u14544) )).
% 13.05/13.27 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u14543, _u14545) | c_Wellfounded_OwfP(_u14543, hAPP(hAPP(c_COMBC(_u14543, tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_fun(_u14543, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14543, tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_fun(_u14543, tc_HOL_Obool)), _u14543), c_COMBC(_u14543, tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14543, tc_prod(_u14543, _u14543)), tc_fun(_u14543, tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool)), _u14543), hAPP(c_COMBB(tc_prod(_u14543, _u14543), tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool), _u14543), c_member(tc_prod(_u14543, _u14543)))), c_Product__Type_OPair(_u14543, _u14543)))), _u14545)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14546, _u14547), hAPP(c_Set_OCollect(tc_prod(_u14546, _u14547)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14546, _u14547, tc_HOL_Obool), _u14548))) = hAPP(c_Set_OCollect(_u14546), hAPP(hAPP(c_COMBB(tc_fun(_u14547, tc_HOL_Obool), tc_HOL_Obool, _u14546), c_HOL_OEx(_u14547)), _u14548))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u14553, _u14555, hAPP(hAPP(c_COMBC(_u14553, tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_fun(_u14555, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14555, tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_fun(_u14555, tc_HOL_Obool)), _u14553), c_COMBC(_u14555, tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14555, tc_prod(_u14553, _u14555)), tc_fun(_u14555, tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool)), _u14553), hAPP(c_COMBB(tc_prod(_u14553, _u14555), tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool), _u14555), c_member(tc_prod(_u14553, _u14555)))), c_Product__Type_OPair(_u14553, _u14555)))), _u14557)), _u14559)) | hBOOL(hAPP(hAPP(c_member(_u14553), _u14559), hAPP(c_Relation_ODomain(_u14553, _u14555), _u14557))) )).
% 13.05/13.27 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14554), _u14560), hAPP(c_Relation_ODomain(_u14554, _u14556), _u14558))) | hBOOL(hAPP(c_Predicate_ODomainP(_u14554, _u14556, hAPP(hAPP(c_COMBC(_u14554, tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_fun(_u14556, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14556, tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_fun(_u14556, tc_HOL_Obool)), _u14554), c_COMBC(_u14556, tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14556, tc_prod(_u14554, _u14556)), tc_fun(_u14556, tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool)), _u14554), hAPP(c_COMBB(tc_prod(_u14554, _u14556), tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool), _u14556), c_member(tc_prod(_u14554, _u14556)))), c_Product__Type_OPair(_u14554, _u14556)))), _u14558)), _u14560)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14562), _u14563), hAPP(c_Relation_ODomain(_u14562, _u14564), _u14565))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14562, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14562, _u14564), _u14563), skolem335(_u14565, _u14564, _u14563, _u14562))), _u14565)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14566, _u14567), _u14568)) | hBOOL(hAPP(c_Predicate_ODomainP(_u14569, _u14570, _u14566), _u14567)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u14581, _u14583), skolem336(_u14583, _u14581))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u14577, _u14579, _u14581), _u14583)) )).
% 13.05/13.27 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u14582, _u14584), _u14572)) | hBOOL(hAPP(c_Predicate_ODomainP(_u14578, _u14580, _u14582), _u14584)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u14585, _u14586) | c_Wellfounded_Oacyclic(_u14585, hAPP(c_Set_OCollect(tc_prod(_u14585, _u14585)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14585, _u14585, tc_HOL_Obool), _u14586))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14588), _u14589)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14590), hAPP(c_Set_Oimage(_u14588, _u14590, _u14591), _u14589))) | hBOOL(hAPP(hAPP(c_member(_u14588), skolem337(_u14591, _u14590, _u14589, _u14588)), _u14589)) )).
% 13.05/13.27 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14588), _u14589)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14590), hAPP(c_Set_Oimage(_u14588, _u14590, _u14591), _u14589))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14588), hAPP(c_Set_OCollect(_u14588), hAPP(hAPP(c_COMBS(_u14588, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14588), c_fconj), hAPP(hAPP(c_COMBC(_u14588, tc_fun(_u14588, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14588)), _u14589))), hAPP(hAPP(c_COMBC(_u14588, _u14590, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14590, tc_fun(_u14590, tc_HOL_Obool), _u14588), c_fequal), _u14591)), hAPP(_u14591, skolem337(_u14591, _u14590, _u14589, _u14588))))))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u14592, _u14593) | c_Wellfounded_Oacyclic(_u14592, _u14593) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14594, _u14595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14594, _u14594), tc_HOL_Obool)), _u14596), _u14595)) | c_Wellfounded_Oacyclic(_u14594, _u14596) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14597, _u14597)), _u14598)) | ~c_Wellfounded_Owf(_u14597, _u14598) | c_Wellfounded_Oacyclic(_u14597, _u14598) )).
% 13.05/13.27 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14597, _u14597)), _u14598)) | ~c_Wellfounded_Oacyclic(_u14597, _u14598) | c_Wellfounded_Owf(_u14597, _u14598) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14599, _u14599)), _u14600)) | ~c_Wellfounded_Oacyclic(_u14599, _u14600) | c_Wellfounded_Owf(_u14599, _u14600) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u14603, _u14605) | c_Wellfounded_Oacyclic(_u14603, _u14605) )).
% 13.05/13.27 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u14603, _u14605) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14603, _u14603)), _u14605)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 13.05/13.27 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u14604, _u14606) | ~c_Wellfounded_Oacyclic(_u14604, _u14606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14604, _u14604)), _u14606)) )).
% 13.05/13.27 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u14604, _u14606) | ~c_Wellfounded_Oacyclic(_u14604, _u14606) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u14614, _u14616, _u14618) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), _u14607), _u14618)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14614, _u14614, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14614, tc_fun(_u14614, tc_HOL_Obool), tc_fun(_u14614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14614, tc_HOL_Obool), tc_fun(_u14614, tc_HOL_Obool)), _u14614), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14614)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14614), c_fconj), hAPP(hAPP(c_COMBC(_u14614, tc_fun(_u14614, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14614)), _u14616)))), hAPP(hAPP(c_COMBC(_u14614, tc_fun(_u14614, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14614)), _u14616))), _u14607)) )).
% 13.05/13.27 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u14614, _u14616, _u14618) | ~hBOOL(hAPP(hAPP(c_member(_u14614), _u14608), _u14616)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), hAPP(hAPP(c_Product__Type_OPair(_u14614, _u14614), _u14608), _u14608)), _u14618)) )).
% 13.05/13.27 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), skolem338(_u14619, _u14617, _u14615)), _u14619)) | hBOOL(hAPP(hAPP(c_member(_u14615), skolem339(_u14619, _u14617, _u14615)), _u14617)) )).
% 13.05/13.27 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), skolem338(_u14619, _u14617, _u14615)), _u14619)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), hAPP(hAPP(c_Product__Type_OPair(_u14615, _u14615), skolem339(_u14619, _u14617, _u14615)), skolem339(_u14619, _u14617, _u14615))), _u14619)) )).
% 13.05/13.27 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14615, _u14615, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), _u14615), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14615)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14615), c_fconj), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617)))), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617))), skolem338(_u14619, _u14617, _u14615))) | hBOOL(hAPP(hAPP(c_member(_u14615), skolem339(_u14619, _u14617, _u14615)), _u14617)) )).
% 13.05/13.27 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14615, _u14615, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), _u14615), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14615)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14615), c_fconj), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617)))), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617))), skolem338(_u14619, _u14617, _u14615))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), hAPP(hAPP(c_Product__Type_OPair(_u14615, _u14615), skolem339(_u14619, _u14617, _u14615)), skolem339(_u14619, _u14617, _u14615))), _u14619)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14621), _u14620), c_Orderings_Obot__class_Obot(tc_fun(_u14621, tc_HOL_Obool)))) | hBOOL(hAPP(_u14622, _u14620)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u14628, _u14630), _u14632)) | ~hBOOL(hAPP(hAPP(c_member(_u14628), _u14623), _u14632)) | hBOOL(hAPP(_u14630, _u14623)) )).
% 13.05/13.27 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u14629, _u14631), _u14633)) | hBOOL(hAPP(hAPP(c_member(_u14629), skolem340(_u14633, _u14631, _u14629)), _u14633)) )).
% 13.05/13.27 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u14629, _u14631), _u14633)) | ~hBOOL(hAPP(_u14631, skolem340(_u14633, _u14631, _u14629))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u14640, _u14642, _u14644, _u14646) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14640, _u14640)), _u14634), _u14644)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14640, _u14640, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14640, tc_fun(_u14640, _u14642), tc_fun(_u14640, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14642, tc_HOL_Obool), tc_fun(tc_fun(_u14640, _u14642), tc_fun(_u14640, tc_HOL_Obool)), _u14640), c_COMBB(_u14642, tc_HOL_Obool, _u14640)), hAPP(hAPP(c_COMBB(_u14642, tc_fun(_u14642, tc_HOL_Obool), _u14640), c_fequal), _u14646))), _u14646)), _u14634)) )).
% 13.05/13.27 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u14641, _u14643, _u14645, _u14647) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14641, _u14641)), skolem341(_u14647, _u14645, _u14643, _u14641)), _u14645)) )).
% 13.05/13.27 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u14641, _u14643, _u14645, _u14647) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14641, _u14641, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14641, tc_fun(_u14641, _u14643), tc_fun(_u14641, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14643, tc_HOL_Obool), tc_fun(tc_fun(_u14641, _u14643), tc_fun(_u14641, tc_HOL_Obool)), _u14641), c_COMBB(_u14643, tc_HOL_Obool, _u14641)), hAPP(hAPP(c_COMBB(_u14643, tc_fun(_u14643, tc_HOL_Obool), _u14641), c_fequal), _u14647))), _u14647)), skolem341(_u14647, _u14645, _u14643, _u14641))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u14649 = hAPP(c_Int_OAbs__Integ, skolem342(_u14649))) )).
% 13.05/13.27 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)), skolem342(_u14649)), c_Int_OInteg)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u14651, _u14652)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem343(_u14652, _u14651)), c_Int_OInteg)) )).
% 13.05/13.27 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u14651, _u14652)) | ~hBOOL(hAPP(_u14651, hAPP(c_Int_OAbs__Integ, skolem343(_u14652, _u14651)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_triples__valid__Suc ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_triples__valid__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14655)), _u14654), _u14656)) | c_Hoare__Mirabelle_Otriple__valid(_u14655, _u14657, _u14654) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14655)), skolem344(_u14657, _u14656, _u14655)), _u14656)) )).
% 13.05/13.27 cnf(fact_triples__valid__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14655)), _u14654), _u14656)) | c_Hoare__Mirabelle_Otriple__valid(_u14655, _u14657, _u14654) | ~c_Hoare__Mirabelle_Otriple__valid(_u14655, hAPP(c_Nat_OSuc, _u14657), skolem344(_u14657, _u14656, _u14655)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_hoare__valids__def ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_hoare__valids__def-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14667, _u14669, _u14671) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14667)), _u14659), _u14671)) | c_Hoare__Mirabelle_Otriple__valid(_u14667, _u14660, _u14659) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14667)), skolem345(_u14671, _u14669, _u14667, _u14660)), _u14669)) )).
% 13.05/13.27 cnf(fact_hoare__valids__def-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14667, _u14669, _u14671) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14667)), _u14659), _u14671)) | c_Hoare__Mirabelle_Otriple__valid(_u14667, _u14660, _u14659) | ~c_Hoare__Mirabelle_Otriple__valid(_u14667, _u14660, skolem345(_u14671, _u14669, _u14667, _u14660)) )).
% 13.05/13.27 cnf(fact_hoare__valids__def-3, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14668, _u14670, _u14672) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14668)), _u14661), _u14670)) | c_Hoare__Mirabelle_Otriple__valid(_u14668, skolem346(_u14672, _u14670, _u14668), _u14661) )).
% 13.05/13.27 cnf(fact_hoare__valids__def-4, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14668, _u14670, _u14672) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14668)), skolem347(_u14672, _u14670, _u14668)), _u14672)) )).
% 13.05/13.27 cnf(fact_hoare__valids__def-5, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14668, _u14670, _u14672) | ~c_Hoare__Mirabelle_Otriple__valid(_u14668, skolem346(_u14672, _u14670, _u14668), skolem347(_u14672, _u14670, _u14668)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14674), _u14675)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14674, tc_fun(_u14676, tc_HOL_Obool)), _u14675), _u14677))) | hBOOL(hAPP(hAPP(c_member(_u14674), skolem348(_u14677, _u14676, _u14675, _u14674)), _u14675)) )).
% 13.05/13.27 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14674), _u14675)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14674, tc_fun(_u14676, tc_HOL_Obool)), _u14675), _u14677))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), hAPP(_u14677, skolem348(_u14677, _u14676, _u14675, _u14674)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 13.05/13.27 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)), _u14680), _u14679) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem349(_u14680, _u14679)), _u14679)) )).
% 13.05/13.27 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)), _u14680), _u14679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14680), skolem349(_u14680, _u14679))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u14684, hAPP(_u14685, skolem350(_u14686, _u14685, _u14684))) | c_Wellfounded_OwfP(_u14684, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14686, tc_fun(_u14684, tc_fun(_u14684, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14686, tc_HOL_Obool))), _u14685)) | ( hAPP(_u14685, skolem351(_u14686, _u14685, _u14684)) != hAPP(_u14685, skolem352(_u14686, _u14685, _u14684))) )).
% 13.05/13.27 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u14684, hAPP(_u14685, skolem350(_u14686, _u14685, _u14684))) | c_Wellfounded_OwfP(_u14684, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14686, tc_fun(_u14684, tc_fun(_u14684, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14686, tc_HOL_Obool))), _u14685)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14684, tc_HOL_Obool)), c_Predicate_ODomainP(_u14684, _u14684, hAPP(_u14685, skolem351(_u14686, _u14685, _u14684)))), c_Predicate_ORangeP(_u14684, _u14684, hAPP(_u14685, skolem352(_u14686, _u14685, _u14684)))) != c_Orderings_Obot__class_Obot(tc_fun(_u14684, tc_HOL_Obool))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_finite__map__freshness ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_finite__map__freshness-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14688), c_Map_Odom(_u14688, _u14689, _u14690))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14688), c_Orderings_Otop__class_Otop(tc_fun(_u14688, tc_HOL_Obool)))) | ( hAPP(_u14690, skolem353(_u14690, _u14689, _u14688)) = c_Option_Ooption_ONone(_u14689)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14693), _u14694), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, _u14696, tc_fun(_u14693, tc_HOL_Obool)), _u14697), _u14698))) | ( _u14698 = hAPP(hAPP(c_Product__Type_OPair(_u14695, _u14696), skolem354(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693)), skolem355(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693))) )).
% 13.05/13.27 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14693), _u14694), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, _u14696, tc_fun(_u14693, tc_HOL_Obool)), _u14697), _u14698))) | hBOOL(hAPP(hAPP(c_member(_u14693), _u14694), hAPP(hAPP(_u14697, skolem354(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693)), skolem355(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14704), _u14705), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14702, _u14703, tc_fun(_u14704, tc_HOL_Obool)), _u14706), _u14701))) | ( _u14701 = hAPP(hAPP(c_Product__Type_OPair(_u14702, _u14703), skolem356(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701)), skolem357(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701))) )).
% 13.05/13.27 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14704), _u14705), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14702, _u14703, tc_fun(_u14704, tc_HOL_Obool)), _u14706), _u14701))) | ~hBOOL(hAPP(hAPP(c_member(_u14704), _u14705), hAPP(hAPP(_u14706, skolem356(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701)), skolem357(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14707, tc_prod(_u14708, _u14709), _u14710), hAPP(hAPP(c_Product__Type_OSigma(_u14708, _u14709), _u14711), hAPP(c_COMBK(tc_fun(_u14709, tc_HOL_Obool), _u14708), _u14712))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14707, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u14707, _u14708, hAPP(c_Fun_Ocomp(tc_prod(_u14708, _u14709), _u14708, _u14707, c_Product__Type_Ofst(_u14708, _u14709)), _u14710)), _u14711)), hAPP(c_Set_Ovimage(_u14707, _u14709, hAPP(c_Fun_Ocomp(tc_prod(_u14708, _u14709), _u14709, _u14707, c_Product__Type_Osnd(_u14708, _u14709)), _u14710)), _u14712))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14714, tc_Nat_Onat), _u14715), _u14716) != hAPP(c_Nat_OSuc, _u14717)) | hBOOL(hAPP(hAPP(c_member(_u14714), skolem358(_u14717, _u14716, _u14715, _u14714)), _u14716)) )).
% 13.05/13.27 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14714, tc_Nat_Onat), _u14715), _u14716) != hAPP(c_Nat_OSuc, _u14717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14715, skolem358(_u14717, _u14716, _u14715, _u14714)))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_o__id ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14718, _u14719, _u14718, _u14720), c_Fun_Oid(_u14718)) = _u14720) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_id__o ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14721, _u14721, _u14722, c_Fun_Oid(_u14721)), _u14723) = _u14723) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u14727, hAPP(_u14728, _u14730)) = hAPP(_u14729, _u14730)) | ( hAPP(c_Fun_Ocomp(_u14724, _u14725, _u14726, _u14727), _u14728) != hAPP(c_Fun_Ocomp(_u14725, _u14725, _u14726, c_Fun_Oid(_u14725)), _u14729)) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u14731, _u14732, hAPP(c_Fun_Ocomp(_u14733, _u14732, _u14731, _u14734), _u14735)), _u14736) = hAPP(c_Set_Oimage(_u14733, _u14732, _u14734), hAPP(c_Set_Oimage(_u14731, _u14733, _u14735), _u14736))) )).
% 13.05/13.27
% 13.05/13.27 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 13.05/13.27 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u14737, _u14738, _u14739), c_Orderings_Otop__class_Otop(tc_fun(_u14737, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14738, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14738, _u14740, _u14741), c_Orderings_Otop__class_Otop(tc_fun(_u14738, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14740, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14737, _u14740, hAPP(c_Fun_Ocomp(_u14738, _u14740, _u14737, _u14741), _u14739)), c_Orderings_Otop__class_Otop(tc_fun(_u14737, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14740, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14742, _u14743, hAPP(c_Fun_Ocomp(_u14744, _u14743, _u14742, _u14745), _u14746)), _u14747) = hAPP(c_Set_Ovimage(_u14742, _u14744, _u14746), hAPP(c_Set_Ovimage(_u14744, _u14743, _u14745), _u14747))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14748, _u14749, _u14750, _u14751), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14750, _u14748), _u14752), _u14753), _u14754)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14750, _u14749), hAPP(c_Fun_Ocomp(_u14748, _u14749, _u14750, _u14751), _u14752)), _u14753), hAPP(_u14751, _u14754))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u14755, _u14756, _u14757, _u14758), hAPP(c_Product__Type_Oapfst(_u14759, _u14755, _u14757, _u14760), _u14761)) = hAPP(c_Product__Type_Oapfst(_u14759, _u14756, _u14757, hAPP(c_Fun_Ocomp(_u14755, _u14756, _u14759, _u14758), _u14760)), _u14761)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u14762, _u14763, _u14764, _u14765), hAPP(c_Product__Type_Oapsnd(_u14766, _u14762, _u14764, _u14767), _u14768)) = hAPP(c_Product__Type_Oapsnd(_u14766, _u14763, _u14764, hAPP(c_Fun_Ocomp(_u14762, _u14763, _u14766, _u14765), _u14767)), _u14768)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u14769, hAPP(_u14770, _u14771)) != hAPP(_u14772, hAPP(_u14773, _u14774))) | ( hAPP(hAPP(c_Fun_Ocomp(_u14775, _u14776, _u14777, _u14769), _u14770), _u14771) = hAPP(hAPP(c_Fun_Ocomp(_u14778, _u14776, _u14779, _u14772), _u14773), _u14774)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u14784, hAPP(_u14785, _u14780)) = hAPP(_u14787, hAPP(_u14788, _u14780))) | ( hAPP(c_Fun_Ocomp(_u14781, _u14782, _u14783, _u14784), _u14785) != hAPP(c_Fun_Ocomp(_u14786, _u14782, _u14783, _u14787), _u14788)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u14792, hAPP(_u14793, _u14797)) = hAPP(_u14795, hAPP(_u14796, _u14797))) | ( hAPP(c_Fun_Ocomp(_u14789, _u14790, _u14791, _u14792), _u14793) != hAPP(c_Fun_Ocomp(_u14794, _u14790, _u14791, _u14795), _u14796)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u14798, _u14799, _u14800, _u14801), _u14802), _u14803) = hAPP(_u14801, hAPP(_u14802, _u14803))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14804, _u14805, _u14806, _u14807), hAPP(c_Fun_Ocomp(_u14808, _u14804, _u14806, _u14809), _u14810)) = hAPP(c_Fun_Ocomp(_u14808, _u14805, _u14806, hAPP(c_Fun_Ocomp(_u14804, _u14805, _u14808, _u14807), _u14809)), _u14810)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_o__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u14811, _u14812, _u14813, _u14814), _u14815), _u14816) = hAPP(_u14814, hAPP(_u14815, _u14816))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u14820, hAPP(_u14821, _u14823)) = hAPP(_u14822, _u14823)) | ( hAPP(c_Fun_Ocomp(_u14817, _u14818, _u14819, _u14820), _u14821) != _u14822) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u14824, _u14825, _u14826, hAPP(c_COMBK(_u14825, _u14824), _u14827)), _u14828), _u14829) = _u14827) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14830, _u14831), tc_prod(_u14832, _u14833), tc_prod(_u14834, _u14835), c_Product__Type_Omap__pair(_u14830, _u14832, _u14831, _u14833, _u14836, _u14837)), c_Product__Type_Omap__pair(_u14834, _u14830, _u14835, _u14831, _u14838, _u14839)) = c_Product__Type_Omap__pair(_u14834, _u14832, _u14835, _u14833, hAPP(c_Fun_Ocomp(_u14830, _u14832, _u14834, _u14836), _u14838), hAPP(c_Fun_Ocomp(_u14831, _u14833, _u14835, _u14837), _u14839))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u14840, _u14841, _u14842, _u14843, hAPP(c_Fun_Ocomp(_u14844, _u14841, _u14840, _u14845), _u14846), hAPP(c_Fun_Ocomp(_u14847, _u14843, _u14842, _u14848), _u14849)) = hAPP(c_Fun_Ocomp(tc_prod(_u14844, _u14847), tc_prod(_u14841, _u14843), tc_prod(_u14840, _u14842), c_Product__Type_Omap__pair(_u14844, _u14841, _u14847, _u14843, _u14845, _u14848)), c_Product__Type_Omap__pair(_u14840, _u14844, _u14842, _u14847, _u14846, _u14849))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u14850, _u14851, _u14852, _u14853, _u14854, _u14855), hAPP(c_Product__Type_Omap__pair(_u14856, _u14850, _u14857, _u14852, _u14858, _u14859), _u14860)) = hAPP(c_Product__Type_Omap__pair(_u14856, _u14851, _u14857, _u14853, hAPP(c_Fun_Ocomp(_u14850, _u14851, _u14856, _u14854), _u14858), hAPP(c_Fun_Ocomp(_u14852, _u14853, _u14857, _u14855), _u14859)), _u14860)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14862, _u14862, _u14862, hAPP(_u14863, _u14864)), hAPP(_u14863, _u14864)) = hAPP(_u14863, _u14864)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14861, _u14862, _u14863) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u14865, _u14866, _u14867, _u14868) | ~c_Fun_Oinj__on(_u14866, _u14869, _u14870, hAPP(c_Set_Oimage(_u14865, _u14866, _u14867), _u14868)) | c_Fun_Oinj__on(_u14865, _u14869, hAPP(c_Fun_Ocomp(_u14866, _u14869, _u14865, _u14870), _u14867), _u14868) )).
% 13.05/13.28 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u14865, _u14866, _u14867, _u14868) | ~c_Fun_Oinj__on(_u14865, _u14869, hAPP(c_Fun_Ocomp(_u14866, _u14869, _u14865, _u14870), _u14867), _u14868) | c_Fun_Oinj__on(_u14866, _u14869, _u14870, hAPP(c_Set_Oimage(_u14865, _u14866, _u14867), _u14868)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u14871, _u14872, _u14873, _u14874) | ~c_Fun_Oinj__on(_u14872, _u14875, _u14876, hAPP(c_Set_Oimage(_u14871, _u14872, _u14873), _u14874)) | c_Fun_Oinj__on(_u14871, _u14875, hAPP(c_Fun_Ocomp(_u14872, _u14875, _u14871, _u14876), _u14873), _u14874) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u14877, _u14878, hAPP(c_Fun_Ocomp(_u14879, _u14878, _u14877, _u14880), _u14881), _u14882) | c_Fun_Oinj__on(_u14879, _u14878, _u14880, hAPP(c_Set_Oimage(_u14877, _u14879, _u14881), _u14882)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u14883, _u14884, hAPP(c_Fun_Ocomp(_u14885, _u14884, _u14883, _u14886), _u14887), _u14888) | c_Fun_Oinj__on(_u14883, _u14885, _u14887, _u14888) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u14889, _u14890, _u14891, c_Orderings_Otop__class_Otop(tc_fun(_u14889, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u14892, _u14889, _u14893, c_Orderings_Otop__class_Otop(tc_fun(_u14892, tc_HOL_Obool))) | c_Fun_Oinj__on(_u14892, _u14890, hAPP(c_Fun_Ocomp(_u14889, _u14890, _u14892, _u14891), _u14893), c_Orderings_Otop__class_Otop(tc_fun(_u14892, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14894) | ~c_Fun_Oinj__on(_u14895, _u14896, _u14897, _u14898) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14896, _u14894), _u14899), hAPP(c_Set_Oimage(_u14895, _u14896, _u14897), _u14898)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14895, _u14894), hAPP(c_Fun_Ocomp(_u14896, _u14894, _u14895, _u14899), _u14897)), _u14898)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14900) | ~c_Fun_Oinj__on(_u14901, _u14902, _u14903, _u14904) | ( _u14905 != hAPP(c_Set_Oimage(_u14901, _u14902, _u14903), _u14904)) | ( _u14906 != hAPP(c_Fun_Ocomp(_u14902, _u14900, _u14901, _u14907), _u14903)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14902, _u14900), _u14907), _u14905) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14901, _u14900), _u14906), _u14904)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14908) | ~c_Fun_Oinj__on(_u14909, _u14910, _u14911, _u14912) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14910, _u14908), _u14913), hAPP(c_Set_Oimage(_u14909, _u14910, _u14911), _u14912)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14909, _u14908), hAPP(c_Fun_Ocomp(_u14910, _u14908, _u14909, _u14913), _u14911)), _u14912)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14915), _u14916)) | ~c_Fun_Oinj__on(_u14915, _u14915, _u14917, _u14916) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14915, _u14914), _u14918), hAPP(c_Set_Oimage(_u14915, _u14915, _u14917), _u14916)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14915, _u14914), hAPP(c_Fun_Ocomp(_u14915, _u14914, _u14915, _u14918), _u14917)), _u14916)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u14919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14920), _u14921)) | ~c_Fun_Oinj__on(_u14920, _u14920, _u14922, _u14921) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14920, _u14919), _u14923), hAPP(c_Set_Oimage(_u14920, _u14920, _u14922), _u14921)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14920, _u14919), hAPP(c_Fun_Ocomp(_u14920, _u14919, _u14920, _u14923), _u14922)), _u14921)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u14924, _u14925, _u14926, hAPP(c_Set_Oimage(_u14927, _u14924, _u14928), _u14929)) | ~c_Fun_Oinj__on(_u14927, _u14924, _u14928, _u14929) | ~hBOOL(hAPP(hAPP(c_member(_u14925), _u14930), hAPP(c_Set_Oimage(_u14924, _u14925, _u14926), hAPP(c_Set_Oimage(_u14927, _u14924, _u14928), _u14929)))) | ( hAPP(c_Fun_Othe__inv__into(_u14927, _u14925, _u14929, hAPP(c_Fun_Ocomp(_u14924, _u14925, _u14927, _u14926), _u14928)), _u14930) = hAPP(hAPP(c_Fun_Ocomp(_u14924, _u14927, _u14925, c_Fun_Othe__inv__into(_u14927, _u14924, _u14929, _u14928)), c_Fun_Othe__inv__into(_u14924, _u14925, hAPP(c_Set_Oimage(_u14927, _u14924, _u14928), _u14929), _u14926)), _u14930)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14932), _u14933)) | ~c_Fun_Oinj__on(_u14932, _u14934, _u14935, _u14933) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14931, _u14934, c_Groups_Otimes__class_Otimes(_u14931)), _u14936), _u14937), hAPP(c_Set_Oimage(_u14932, _u14934, _u14935), _u14933)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14931, _u14932, c_Groups_Otimes__class_Otimes(_u14931)), hAPP(c_Fun_Ocomp(_u14934, _u14931, _u14932, _u14936), _u14935)), _u14937), _u14933)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u14938) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14938, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14938))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u14939) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14939, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14939))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14940, tc_fun(_u14941, tc_HOL_Obool)), _u14942), hAPP(c_Fun_Ocomp(_u14943, tc_fun(_u14941, tc_HOL_Obool), _u14940, _u14944), _u14945)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14943, tc_fun(_u14941, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14940, _u14943, _u14945), _u14942)), _u14944)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14946, _u14947), _u14947, tc_prod(_u14948, _u14949), c_Product__Type_Osnd(_u14946, _u14947)), c_Product__Type_Omap__pair(_u14948, _u14946, _u14949, _u14947, _u14950, _u14951)) = hAPP(c_Fun_Ocomp(_u14949, _u14947, tc_prod(_u14948, _u14949), _u14951), c_Product__Type_Osnd(_u14948, _u14949))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14952, _u14953), _u14952, tc_prod(_u14954, _u14955), c_Product__Type_Ofst(_u14952, _u14953)), c_Product__Type_Omap__pair(_u14954, _u14952, _u14955, _u14953, _u14956, _u14957)) = hAPP(c_Fun_Ocomp(_u14954, _u14952, tc_prod(_u14954, _u14955), _u14956), c_Product__Type_Ofst(_u14954, _u14955))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14958, _u14959, _u14960), hAPP(c_Fun_Ocomp(_u14961, tc_fun(_u14959, _u14960), _u14958, _u14962), _u14963)), _u14964) = hAPP(hAPP(_u14962, hAPP(_u14963, hAPP(c_Product__Type_Ofst(_u14958, _u14959), _u14964))), hAPP(c_Product__Type_Osnd(_u14958, _u14959), _u14964))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 13.05/13.28 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)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 13.05/13.28 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)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Loop__sound__lemma ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Loop__sound__lemma-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14965, _u14966, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14965)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14965), c_Hoare__Mirabelle_Opeek__and(_u14965, _u14967, _u14968)), _u14969), _u14967)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14965), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__valids(_u14965, _u14966, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14965)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14965), _u14967), c_Com_Ocom_OWhile(_u14968, _u14969)), c_Hoare__Mirabelle_Opeek__and(_u14965, _u14967, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u14968)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14965), tc_HOL_Obool)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u14970, _u14971, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14970)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14970), c_Hoare__Mirabelle_Opeek__and(_u14970, _u14972, _u14973)), _u14974), _u14975)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14970), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u14970, _u14971, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14970)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14970), c_Hoare__Mirabelle_Opeek__and(_u14970, _u14972, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u14973))), _u14976), _u14975)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14970), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u14970, _u14971, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14970)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14970), _u14972), c_Com_Ocom_OCond(_u14973, _u14974, _u14976)), _u14975)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14970), tc_HOL_Obool)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14982, _u14984, _u14986), _u14988), _u14990)) | hBOOL(hAPP(hAPP(_u14984, _u14988), _u14990)) )).
% 13.05/13.28 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14982, _u14984, _u14986), _u14988), _u14990)) | hBOOL(hAPP(_u14986, _u14990)) )).
% 13.05/13.28 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u14985, _u14989), _u14991)) | ~hBOOL(hAPP(_u14987, _u14991)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14983, _u14985, _u14987), _u14989), _u14991)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Loop ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u14992, _u14993, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14992)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14992), c_Hoare__Mirabelle_Opeek__and(_u14992, _u14994, _u14995)), _u14996), _u14994)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14992), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u14992, _u14993, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14992)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14992), _u14994), c_Com_Ocom_OWhile(_u14995, _u14996)), c_Hoare__Mirabelle_Opeek__and(_u14992, _u14994, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u14995)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14992), tc_HOL_Obool)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u14997, _u14998, _u14999, _u15000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14997), _u15001)) | ~hBOOL(hAPP(hAPP(c_member(_u14997), _u15002), _u15001)) | ( hAPP(_u15000, _u15001) = hAPP(c_Fun_Ocomp(_u14998, _u14998, _u14998, hAPP(_u15000, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14997, tc_HOL_Obool)), _u15001), hAPP(hAPP(c_Set_Oinsert(_u14997), _u15002), c_Orderings_Obot__class_Obot(tc_fun(_u14997, tc_HOL_Obool)))))), hAPP(_u14999, _u15002))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u15003, _u15004, _u15005, _u15006, _u15007) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15004), _u15008)) | ~c_Fun_Oinj__on(_u15004, _u15004, _u15009, _u15008) | ( hAPP(hAPP(_u15007, _u15010), hAPP(c_Set_Oimage(_u15004, _u15004, _u15009), _u15008)) = hAPP(hAPP(_u15007, hAPP(c_Fun_Ocomp(_u15004, _u15003, _u15004, _u15010), _u15009)), _u15008)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15016)), hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15017)), _u15018)) = hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15017)), hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15016)), _u15018))) | ~c_Finite__Set_Ofolding(_u15011, _u15012, _u15013, _u15014) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u15020, _u15020, _u15020, hAPP(_u15021, _u15023)), hAPP(_u15021, _u15024)) = hAPP(c_Fun_Ocomp(_u15020, _u15020, _u15020, hAPP(_u15021, _u15024)), hAPP(_u15021, _u15023))) | ~c_Finite__Set_Ofolding(_u15019, _u15020, _u15021, _u15022) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u15025, _u15026, _u15027, _u15028) | ( hAPP(c_Fun_Ocomp(_u15029, _u15030, _u15031, _u15032), hAPP(c_Fun_Ocomp(_u15033, _u15029, _u15031, _u15034), _u15035)) = hAPP(c_Fun_Ocomp(_u15033, _u15030, _u15031, hAPP(c_Fun_Ocomp(_u15029, _u15030, _u15033, _u15032), _u15034)), _u15035)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u15036, _u15037, _u15038, _u15039, _u15040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15037), _u15041)) | ( hAPP(hAPP(_u15040, hAPP(hAPP(c_COMBS(_u15037, _u15036, _u15036), hAPP(hAPP(c_COMBB(_u15036, tc_fun(_u15036, _u15036), _u15037), _u15038), _u15042)), _u15043)), _u15041) = hAPP(hAPP(_u15038, hAPP(hAPP(_u15040, _u15042), _u15041)), hAPP(hAPP(_u15040, _u15043), _u15041))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u15044, _u15045, _u15046, _u15047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15044), _u15048)) | ( hAPP(c_Fun_Ocomp(_u15045, _u15045, _u15045, hAPP(_u15046, _u15049)), hAPP(_u15047, _u15048)) = hAPP(c_Fun_Ocomp(_u15045, _u15045, _u15045, hAPP(_u15047, _u15048)), hAPP(_u15046, _u15049))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u15050, _u15051, _u15052, _u15053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15050), _u15054)) | ( hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15052, _u15056)), hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15053, _u15054)), _u15057)) = hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15053, _u15054)), hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15052, _u15056)), _u15057))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u15058, _u15059, _u15060, _u15061) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15058), _u15062)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15058), _u15063)) | ( hAPP(c_Fun_Ocomp(_u15059, _u15059, _u15059, hAPP(_u15061, _u15063)), hAPP(_u15061, _u15062)) = hAPP(c_Fun_Ocomp(_u15059, _u15059, _u15059, hAPP(_u15061, _u15062)), hAPP(_u15061, _u15063))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u15064, _u15065, _u15066, _u15067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15064), _u15068)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15064), _u15069)) | ( hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15069)), hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15068)), _u15071)) = hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15068)), hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15069)), _u15071))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u15072, _u15073, _u15074, _u15075) | ( hAPP(_u15075, c_Orderings_Obot__class_Obot(tc_fun(_u15072, tc_HOL_Obool))) = c_Fun_Oid(_u15073)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u15076, _u15077, _u15078, _u15079, _u15080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15077), _u15081)) | ( hAPP(hAPP(_u15080, _u15082), _u15081) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15076, _u15077, _u15078), _u15082), _u15079), _u15081)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u15083, _u15084, _u15085, _u15086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15087)) | hBOOL(hAPP(hAPP(c_member(_u15083), _u15088), _u15087)) | ( hAPP(_u15086, hAPP(hAPP(c_Set_Oinsert(_u15083), _u15088), _u15087)) = hAPP(c_Fun_Ocomp(_u15084, _u15084, _u15084, hAPP(_u15086, _u15087)), hAPP(_u15085, _u15088))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u15089, _u15090, _u15091, _u15092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15089), _u15093)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15089), _u15094)) | ( hAPP(c_Fun_Ocomp(_u15090, _u15090, _u15090, hAPP(_u15092, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15089, tc_HOL_Obool)), _u15093), _u15094))), hAPP(_u15092, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15089, tc_HOL_Obool)), _u15093), _u15094))) = hAPP(c_Fun_Ocomp(_u15090, _u15090, _u15090, hAPP(_u15092, _u15093)), hAPP(_u15092, _u15094))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u15095, _u15096, _u15097, _u15098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15095), _u15099)) | ( hAPP(_u15098, hAPP(hAPP(c_Set_Oinsert(_u15095), _u15100), _u15099)) = hAPP(c_Fun_Ocomp(_u15096, _u15096, _u15096, hAPP(_u15098, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15095, tc_HOL_Obool)), _u15099), hAPP(hAPP(c_Set_Oinsert(_u15095), _u15100), c_Orderings_Obot__class_Obot(tc_fun(_u15095, tc_HOL_Obool)))))), hAPP(_u15097, _u15100))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u15101, _u15102, _u15103, _u15104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15101), _u15105)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15101), _u15106)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15101, tc_HOL_Obool)), _u15105), _u15106) != c_Orderings_Obot__class_Obot(tc_fun(_u15101, tc_HOL_Obool))) | ( hAPP(_u15104, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15101, tc_HOL_Obool)), _u15105), _u15106)) = hAPP(c_Fun_Ocomp(_u15102, _u15102, _u15102, hAPP(_u15104, _u15105)), hAPP(_u15104, _u15106))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | hBOOL(hAPP(hAPP(c_member(_u15110), skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)), _u15111)) )).
% 13.05/13.28 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | hBOOL(hAPP(hAPP(c_member(_u15110), skolem360(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)), _u15111)) )).
% 13.05/13.28 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | ( skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109) != skolem360(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)) )).
% 13.05/13.28 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | ( hAPP(_u15112, skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)) = hAPP(_u15112, skolem360(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109))) )).
% 13.05/13.28 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | ( hAPP(_u15113, hAPP(_u15112, skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109))) != c_Groups_Ozero__class_Ozero(_u15109)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u15115, _u15116, _u15117, _u15118) = c_Random__Sequence_Obind(_u15115, _u15116, _u15118, hAPP(c_Fun_Ocomp(_u15116, 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(_u15116)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u15115, c_Random__Sequence_Osingle(_u15116)), _u15117))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u15119, _u15120, _u15121, _u15122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15119), _u15123)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15119), _u15124)) | ( hAPP(_u15122, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15119, tc_HOL_Obool)), _u15123), _u15124)) = hAPP(c_Fun_Ocomp(_u15120, _u15120, _u15120, hAPP(_u15122, _u15123)), hAPP(_u15122, _u15124))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u15125, _u15126, _u15127, _u15128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15125), _u15129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15125, tc_HOL_Obool)), _u15130), _u15129)) | ( hAPP(c_Fun_Ocomp(_u15126, _u15126, _u15126, hAPP(_u15128, _u15129)), hAPP(_u15128, _u15130)) = hAPP(_u15128, _u15129)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u15132, _u15132, _u15132, hAPP(_u15133, _u15135)), hAPP(_u15133, _u15135)) = hAPP(_u15133, _u15135)) | ~c_Finite__Set_Ofolding__idem(_u15131, _u15132, _u15133, _u15134) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u15137, _u15137, _u15140, hAPP(_u15138, _u15141)), hAPP(c_Fun_Ocomp(_u15137, _u15137, _u15140, hAPP(_u15138, _u15141)), _u15142)) = hAPP(c_Fun_Ocomp(_u15137, _u15137, _u15140, hAPP(_u15138, _u15141)), _u15142)) | ~c_Finite__Set_Ofolding__idem(_u15136, _u15137, _u15138, _u15139) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u15143, _u15144, _u15145, _u15146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15143), _u15147)) | ~hBOOL(hAPP(hAPP(c_member(_u15143), _u15148), _u15147)) | ( hAPP(c_Fun_Ocomp(_u15144, _u15144, _u15144, hAPP(_u15146, _u15147)), hAPP(_u15145, _u15148)) = hAPP(_u15146, _u15147)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u15149, _u15150, _u15151, _u15152) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15149), _u15153)) | ( hAPP(_u15152, hAPP(hAPP(c_Set_Oinsert(_u15149), _u15154), _u15153)) = hAPP(c_Fun_Ocomp(_u15150, _u15150, _u15150, hAPP(_u15152, _u15153)), hAPP(_u15151, _u15154))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15156) | ~c_Fun_Oinj__on(_u15157, _u15158, _u15159, _u15160) | ( _u15161 != hAPP(c_Set_Oimage(_u15157, _u15158, _u15159), _u15160)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15158, _u15156), _u15163), _u15161) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15157, _u15156), _u15162), _u15160)) | hBOOL(hAPP(hAPP(c_member(_u15157), skolem361(_u15163, _u15162, _u15161, _u15160, _u15159, _u15158, _u15157, _u15156)), _u15160)) )).
% 13.05/13.28 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15156) | ~c_Fun_Oinj__on(_u15157, _u15158, _u15159, _u15160) | ( _u15161 != hAPP(c_Set_Oimage(_u15157, _u15158, _u15159), _u15160)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15158, _u15156), _u15163), _u15161) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15157, _u15156), _u15162), _u15160)) | ( hAPP(_u15162, skolem361(_u15163, _u15162, _u15161, _u15160, _u15159, _u15158, _u15157, _u15156)) != hAPP(hAPP(c_Fun_Ocomp(_u15158, _u15156, _u15157, _u15163), _u15159), skolem361(_u15163, _u15162, _u15161, _u15160, _u15159, _u15158, _u15157, _u15156))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u15164, _u15165, _u15166, _u15167) = c_New__Random__Sequence_Oneg__bind(_u15164, _u15165, _u15167, hAPP(c_Fun_Ocomp(_u15165, 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(_u15165)))))), _u15164, c_New__Random__Sequence_Oneg__single(_u15165)), _u15166))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u15168), _u15169), _u15170), _u15171), _u15172) = c_New__DSequence_Oneg__single(_u15168, _u15169)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u15173, _u15174, _u15175, _u15176) = c_New__Random__Sequence_Opos__bind(_u15173, _u15174, _u15176, hAPP(c_Fun_Ocomp(_u15174, 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(_u15174))))), _u15173, c_New__Random__Sequence_Opos__single(_u15174)), _u15175))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u15177, _u15178), _u15179) = c_Lazy__Sequence_Ohb__single(_u15177, _u15178)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u15180), _u15181), _u15182), _u15183), _u15184) = c_New__DSequence_Opos__single(_u15180, _u15181)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u15185, _u15186), _u15187) = c_Lazy__Sequence_Osingle(_u15185, _u15186)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15188, _u15189), hAPP(c_Product__Type_Oprod_Oprod__case(_u15188, _u15189, tc_HOL_Obool), _u15190)) = c_Hilbert__Choice_OEps(tc_prod(_u15188, _u15189), hAPP(hAPP(c_COMBS(tc_prod(_u15188, _u15189), _u15189, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15188, tc_fun(_u15189, tc_HOL_Obool), tc_prod(_u15188, _u15189)), _u15190), c_Product__Type_Ofst(_u15188, _u15189))), c_Product__Type_Osnd(_u15188, _u15189)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u15192, _u15191)) | ( _u15193 != c_Hilbert__Choice_OEps(_u15194, _u15192)) | hBOOL(hAPP(_u15192, _u15193)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15195, hAPP(c_fequal, _u15196)) = _u15196) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15197, hAPP(hAPP(c_COMBC(_u15197, _u15197, tc_HOL_Obool), c_fequal), _u15198)) = _u15198) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u15203, c_Hilbert__Choice_OEps(_u15205, _u15203))) | hBOOL(hAPP(_u15203, skolem362(_u15205, _u15203))) )).
% 13.05/13.28 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u15204, _u15200)) | hBOOL(hAPP(_u15204, c_Hilbert__Choice_OEps(_u15206, _u15204))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u15208, _u15207)) | hBOOL(hAPP(_u15208, c_Hilbert__Choice_OEps(_u15209, _u15208))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u15211, _u15210)) | hBOOL(hAPP(_u15211, c_Hilbert__Choice_OEps(_u15212, _u15211))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_someI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u15213, _u15214)) | hBOOL(hAPP(_u15213, c_Hilbert__Choice_OEps(_u15215, _u15213))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15216, _u15217), _u15218) = c_Hilbert__Choice_OEps(tc_prod(_u15216, _u15217), hAPP(c_Product__Type_Oprod_Oprod__case(_u15216, _u15217, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15217, tc_prod(_u15216, _u15217)), tc_fun(_u15217, tc_HOL_Obool), _u15216), hAPP(c_COMBB(tc_prod(_u15216, _u15217), tc_HOL_Obool, _u15217), _u15218)), c_Product__Type_OPair(_u15216, _u15217))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15219, _u15220), hAPP(c_Product__Type_Oprod_Oprod__case(_u15219, _u15220, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15219, tc_fun(_u15220, tc_HOL_Obool), tc_fun(_u15220, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15220, tc_HOL_Obool), tc_fun(_u15220, tc_HOL_Obool)), _u15219), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15220)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15219), c_fconj), hAPP(c_fequal, _u15221)))), hAPP(c_fequal, _u15222)))) = hAPP(hAPP(c_Product__Type_OPair(_u15219, _u15220), _u15221), _u15222)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u15224, _u15225) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15224, tc_HOL_Obool)), skolem363(_u15225, _u15224)), hAPP(c_Relation_OImage(_u15224, _u15224, _u15225), skolem363(_u15225, _u15224)))) )).
% 13.05/13.28 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u15224, _u15225) | ( skolem363(_u15225, _u15224) != c_Orderings_Obot__class_Obot(tc_fun(_u15224, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15227, tc_HOL_Obool)), _u15228), _u15229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15227, _u15230), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15228), _u15231)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15229), _u15232))) | hBOOL(hAPP(hAPP(c_member(_u15227), skolem364(_u15232, _u15231, _u15230, _u15229, _u15228, _u15227)), _u15228)) )).
% 13.05/13.28 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15227, tc_HOL_Obool)), _u15228), _u15229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15227, _u15230), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15228), _u15231)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15229), _u15232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15230, tc_HOL_Obool)), hAPP(_u15231, skolem364(_u15232, _u15231, _u15230, _u15229, _u15228, _u15227))), hAPP(_u15232, skolem364(_u15232, _u15231, _u15230, _u15229, _u15228, _u15227)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15234), _u15235), c_Wellfounded_Oacc(_u15234, _u15236))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15234, _u15234)), hAPP(hAPP(c_Product__Type_OPair(_u15234, _u15234), skolem365(_u15236, _u15235, _u15234)), _u15235)), _u15236)) )).
% 13.05/13.28 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15234), _u15235), c_Wellfounded_Oacc(_u15234, _u15236))) | ~hBOOL(hAPP(hAPP(c_member(_u15234), skolem365(_u15236, _u15235, _u15234)), c_Wellfounded_Oacc(_u15234, _u15236))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), c_Wellfounded_Oacc(_u15238, _u15240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15238, _u15238)), hAPP(hAPP(c_Product__Type_OPair(_u15238, _u15238), skolem366(_u15240, _u15239, _u15238)), _u15239)), _u15240)) )).
% 13.05/13.28 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), c_Wellfounded_Oacc(_u15238, _u15240))) | ~hBOOL(hAPP(hAPP(c_member(_u15238), skolem366(_u15240, _u15239, _u15238)), c_Wellfounded_Oacc(_u15238, _u15240))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15243), _u15244)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15242, _u15243, c_Groups_Otimes__class_Otimes(_u15242)), _u15245), c_Groups_Oone__class_Oone(_u15242)), _u15244) = c_Groups_Oone__class_Oone(_u15242)) | hBOOL(hAPP(hAPP(c_member(_u15243), skolem367(_u15245, _u15244, _u15243, _u15242)), _u15244)) )).
% 13.05/13.28 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u15242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15243), _u15244)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15242, _u15243, c_Groups_Otimes__class_Otimes(_u15242)), _u15245), c_Groups_Oone__class_Oone(_u15242)), _u15244) = c_Groups_Oone__class_Oone(_u15242)) | ( hAPP(_u15245, skolem367(_u15245, _u15244, _u15243, _u15242)) != c_Groups_Oone__class_Oone(_u15242)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15247), _u15248)) | ( hAPP(c_Finite__Set_Ocard(_u15247), _u15248) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u15247), skolem368(_u15248, _u15247)), _u15248)) )).
% 13.05/13.28 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15247), _u15248)) | ( hAPP(c_Finite__Set_Ocard(_u15247), _u15248) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15257), _u15259)) )).
% 13.05/13.28 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15257), _u15261)) )).
% 13.05/13.28 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | ( _u15261 != c_Orderings_Obot__class_Obot(tc_fun(_u15257, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | ~hBOOL(hAPP(hAPP(c_member(_u15257), _u15250), _u15259)) | hBOOL(hAPP(hAPP(c_member(_u15257), skolem369(_u15263, _u15261, _u15259, _u15257, _u15250)), _u15261)) )).
% 13.05/13.28 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | ~hBOOL(hAPP(hAPP(c_member(_u15257), _u15250), _u15259)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15257, _u15257)), hAPP(hAPP(c_Product__Type_OPair(_u15257, _u15257), _u15250), skolem369(_u15263, _u15261, _u15259, _u15257, _u15250))), _u15263)) )).
% 13.05/13.28 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool)), _u15260), _u15262)), c_Wellfounded_Omax__ext(_u15258, _u15264))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15260)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15262)) | ( _u15262 = c_Orderings_Obot__class_Obot(tc_fun(_u15258, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15258), skolem370(_u15264, _u15262, _u15260, _u15258)), _u15260)) )).
% 13.05/13.28 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool)), _u15260), _u15262)), c_Wellfounded_Omax__ext(_u15258, _u15264))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15260)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15262)) | ( _u15262 = c_Orderings_Obot__class_Obot(tc_fun(_u15258, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15258), _u15251), _u15262)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15258, _u15258)), hAPP(hAPP(c_Product__Type_OPair(_u15258, _u15258), skolem370(_u15264, _u15262, _u15260, _u15258)), _u15251)), _u15264)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15267), _u15268)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15269), _u15271), _u15268) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15270), _u15271), _u15268)) | hBOOL(hAPP(hAPP(c_member(_u15267), skolem371(_u15271, _u15270, _u15269, _u15268, _u15267, _u15266)), _u15268)) )).
% 13.05/13.28 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15267), _u15268)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15269), _u15271), _u15268) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15270), _u15271), _u15268)) | ( hAPP(_u15269, skolem371(_u15271, _u15270, _u15269, _u15268, _u15267, _u15266)) != hAPP(_u15270, skolem371(_u15271, _u15270, _u15269, _u15268, _u15267, _u15266))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setprod__dvd__setprod__subset2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setprod__dvd__setprod__subset2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u15273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15274), _u15275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15274, tc_HOL_Obool)), _u15276), _u15275)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15273), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15277), _u15276)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15278), _u15275))) | hBOOL(hAPP(hAPP(c_member(_u15274), skolem372(_u15278, _u15277, _u15276, _u15275, _u15274, _u15273)), _u15276)) )).
% 13.05/13.28 cnf(fact_setprod__dvd__setprod__subset2-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u15273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15274), _u15275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15274, tc_HOL_Obool)), _u15276), _u15275)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15273), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15277), _u15276)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15278), _u15275))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15273), hAPP(_u15277, skolem372(_u15278, _u15277, _u15276, _u15275, _u15274, _u15273))), hAPP(_u15278, skolem372(_u15278, _u15277, _u15276, _u15275, _u15274, _u15273)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | ~hBOOL(hAPP(hAPP(c_member(_u15280), _u15282), _u15281)) | ( c_Big__Operators_Olinorder__class_OMax(_u15280, _u15281) = _u15282) | hBOOL(hAPP(hAPP(c_member(_u15280), skolem373(_u15282, _u15281, _u15280)), _u15281)) )).
% 13.05/13.28 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | ~hBOOL(hAPP(hAPP(c_member(_u15280), _u15282), _u15281)) | ( c_Big__Operators_Olinorder__class_OMax(_u15280, _u15281) = _u15282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), skolem373(_u15282, _u15281, _u15280)), _u15282)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u15284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15284), _u15285)) | ~hBOOL(hAPP(hAPP(c_member(_u15284), _u15286), _u15285)) | ( c_Big__Operators_Olinorder__class_OMin(_u15284, _u15285) = _u15286) | hBOOL(hAPP(hAPP(c_member(_u15284), skolem374(_u15286, _u15285, _u15284)), _u15285)) )).
% 13.05/13.28 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u15284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15284), _u15285)) | ~hBOOL(hAPP(hAPP(c_member(_u15284), _u15286), _u15285)) | ( c_Big__Operators_Olinorder__class_OMin(_u15284, _u15285) = _u15286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15284), _u15286), skolem374(_u15286, _u15285, _u15284))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u15288, _u15289) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15288, _u15288)), hAPP(hAPP(c_Product__Type_OPair(_u15288, _u15288), hAPP(_u15290, hAPP(c_Nat_OSuc, skolem375(_u15290, _u15289, _u15288)))), hAPP(_u15290, skolem375(_u15290, _u15289, _u15288)))), _u15289)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15292) | ~c_Fun_Oinj__on(_u15293, _u15294, _u15295, _u15296) | ( _u15297 != hAPP(c_Set_Oimage(_u15293, _u15294, _u15295), _u15296)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15294, _u15292), _u15299), _u15297) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15293, _u15292), _u15298), _u15296)) | hBOOL(hAPP(hAPP(c_member(_u15293), skolem376(_u15299, _u15298, _u15297, _u15296, _u15295, _u15294, _u15293, _u15292)), _u15296)) )).
% 13.05/13.28 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15292) | ~c_Fun_Oinj__on(_u15293, _u15294, _u15295, _u15296) | ( _u15297 != hAPP(c_Set_Oimage(_u15293, _u15294, _u15295), _u15296)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15294, _u15292), _u15299), _u15297) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15293, _u15292), _u15298), _u15296)) | ( hAPP(_u15298, skolem376(_u15299, _u15298, _u15297, _u15296, _u15295, _u15294, _u15293, _u15292)) != hAPP(_u15299, hAPP(_u15295, skolem376(_u15299, _u15298, _u15297, _u15296, _u15295, _u15294, _u15293, _u15292)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15301) | ~class_Orderings_Oord(_u15302) | ( _u15303 != _u15304) | ( _u15305 != _u15306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15303), _u15305)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15308), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15304), _u15306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15302), _u15304), skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301))) )).
% 13.05/13.28 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15301) | ~class_Orderings_Oord(_u15302) | ( _u15303 != _u15304) | ( _u15305 != _u15306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15303), _u15305)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15308), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15304), _u15306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15302), skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301)), _u15306)) )).
% 13.05/13.28 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15301) | ~class_Orderings_Oord(_u15302) | ( _u15303 != _u15304) | ( _u15305 != _u15306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15303), _u15305)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15308), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15304), _u15306))) | ( hAPP(_u15307, skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301)) != hAPP(_u15308, skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 13.05/13.28 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), _u15311), _u15313)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15311), _u15313)) )).
% 13.05/13.28 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15312), _u15314)) | 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), _u15312), _u15314)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u15315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15315), _u15316)) | hBOOL(hAPP(hAPP(c_member(_u15315), _u15317), _u15316)) | ( c_Big__Operators_Olattice_OSup__fin(_u15315, c_Orderings_Oord__class_Omax(_u15315), hAPP(hAPP(c_Set_Oinsert(_u15315), _u15317), _u15316)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15315, _u15315, c_Orderings_Oord__class_Omax(_u15315)), _u15317), _u15316)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u15318, _u15319, _u15320), _u15321), c_Orderings_Obot__class_Obot(tc_fun(_u15318, tc_HOL_Obool))) = _u15321) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u15322, _u15323, _u15324), _u15325) = c_Finite__Set_Ofold(_u15323, _u15322, hAPP(hAPP(c_COMBB(_u15322, tc_fun(_u15322, _u15322), _u15323), _u15324), _u15325))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u15326, _u15327) | c_Wellfounded_Owf(_u15326, c_Transitive__Closure_Otrancl(_u15326, _u15327)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u15328, _u15329, _u15330, _u15331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15328), _u15332)) | ( hAPP(hAPP(_u15331, _u15332), _u15333) = hAPP(hAPP(c_Finite__Set_Ofold(_u15328, _u15329, _u15330), _u15333), _u15332)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u15334, _u15335, _u15336), _u15337), _u15338) = c_HOL_OThe(_u15335, c_Finite__Set_Ofold__graph(_u15334, _u15335, _u15336, _u15337, _u15338))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15339), _u15340)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15339, tc_HOL_Obool)), _u15340), _u15341) = hAPP(hAPP(c_Finite__Set_Ofold(_u15339, tc_fun(_u15339, tc_HOL_Obool), c_Set_Oinsert(_u15339)), _u15341), _u15340)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u15342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15342), _u15343)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15342, _u15342, c_Lattices_Osemilattice__sup__class_Osup(_u15342)), _u15344), hAPP(hAPP(c_Set_Oinsert(_u15342), _u15345), _u15343)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15342), _u15345), hAPP(hAPP(c_Finite__Set_Ofold(_u15342, _u15342, c_Lattices_Osemilattice__sup__class_Osup(_u15342)), _u15344), _u15343))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u15346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15346), _u15347)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15346, _u15346, c_Lattices_Osemilattice__inf__class_Oinf(_u15346)), _u15348), hAPP(hAPP(c_Set_Oinsert(_u15346), _u15349), _u15347)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15346), _u15349), hAPP(hAPP(c_Finite__Set_Ofold(_u15346, _u15346, c_Lattices_Osemilattice__inf__class_Oinf(_u15346)), _u15348), _u15347))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u15350) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15350), _u15351)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15350, _u15350, c_Orderings_Oord__class_Omin(_u15350)), _u15352), hAPP(hAPP(c_Set_Oinsert(_u15350), _u15353), _u15351)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15350), _u15353), hAPP(hAPP(c_Finite__Set_Ofold(_u15350, _u15350, c_Orderings_Oord__class_Omin(_u15350)), _u15352), _u15351))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u15354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15354), _u15355)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15354, _u15354, c_Orderings_Oord__class_Omax(_u15354)), _u15356), hAPP(hAPP(c_Set_Oinsert(_u15354), _u15357), _u15355)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15354), _u15357), hAPP(hAPP(c_Finite__Set_Ofold(_u15354, _u15354, c_Orderings_Oord__class_Omax(_u15354)), _u15356), _u15355))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15362, _u15364) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15362, _u15362)), hAPP(hAPP(c_Product__Type_OPair(_u15362, _u15362), _u15358), _u15358)), c_Transitive__Closure_Otrancl(_u15362, _u15364))) )).
% 13.05/13.28 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15363, _u15363)), hAPP(hAPP(c_Product__Type_OPair(_u15363, _u15363), skolem378(_u15365, _u15363)), skolem378(_u15365, _u15363))), c_Transitive__Closure_Otrancl(_u15363, _u15365))) | c_Wellfounded_Oacyclic(_u15363, _u15365) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u15366, _u15367, _u15368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15366), _u15369)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15366, _u15367, _u15368), _u15370), hAPP(hAPP(c_Set_Oinsert(_u15366), _u15371), _u15369)) = hAPP(hAPP(_u15368, _u15371), hAPP(hAPP(c_Finite__Set_Ofold(_u15366, _u15367, _u15368), _u15370), _u15369))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u15372, _u15373, _u15374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15372), _u15375)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15372, _u15373, _u15374), _u15376), hAPP(hAPP(c_Set_Oinsert(_u15372), _u15377), _u15375)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15372, _u15373, _u15374), hAPP(hAPP(_u15374, _u15377), _u15376)), _u15375)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15379), _u15380)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15378), _u15381), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15379, _u15378), _u15380), _u15382)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15379, _u15378, hAPP(hAPP(c_COMBB(_u15378, tc_fun(_u15378, _u15378), _u15379), c_Lattices_Osemilattice__sup__class_Osup(_u15378)), _u15382)), _u15381), _u15380)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u15383, _u15384, _u15385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15383), _u15386)) | ( hAPP(_u15385, hAPP(hAPP(c_Set_Oinsert(_u15383), _u15387), _u15386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15383, _u15383, _u15384), _u15387), _u15386)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u15388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15388), _u15389)) | ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15390), _u15389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15388), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15388), _u15390), _u15391)), hAPP(hAPP(c_Finite__Set_Ofold(_u15388, _u15388, c_Lattices_Osemilattice__sup__class_Osup(_u15388)), _u15391), _u15389))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u15392) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15392), _u15393)) | ~hBOOL(hAPP(hAPP(c_member(_u15392), _u15394), _u15393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15392), hAPP(hAPP(c_Finite__Set_Ofold(_u15392, _u15392, c_Lattices_Osemilattice__inf__class_Oinf(_u15392)), _u15395), _u15393)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15392), _u15394), _u15395))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u15396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15396), _u15397)) | ~hBOOL(hAPP(hAPP(c_member(_u15396), _u15398), _u15397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15396), hAPP(hAPP(c_Finite__Set_Ofold(_u15396, _u15396, c_Orderings_Oord__class_Omin(_u15396)), _u15399), _u15397)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15396), _u15398), _u15399))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u15400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15400), _u15401)) | ~hBOOL(hAPP(hAPP(c_member(_u15400), _u15402), _u15401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15400), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15400), _u15402), _u15403)), hAPP(hAPP(c_Finite__Set_Ofold(_u15400, _u15400, c_Orderings_Oord__class_Omax(_u15400)), _u15403), _u15401))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u15404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15404), _u15405)) | ( hAPP(c_Finite__Set_Ofold1(_u15404, c_Groups_Otimes__class_Otimes(_u15404)), hAPP(hAPP(c_Set_Oinsert(_u15404), _u15406), _u15405)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15404, _u15404, c_Groups_Otimes__class_Otimes(_u15404)), _u15406), _u15405)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u15407) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15407), _u15408)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15407, hAPP(hAPP(c_Set_Oinsert(_u15407), _u15409), _u15408)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15407, _u15407, c_Lattices_Osemilattice__sup__class_Osup(_u15407)), _u15409), _u15408)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u15410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15410), _u15411)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15410, hAPP(hAPP(c_Set_Oinsert(_u15410), _u15412), _u15411)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15410, _u15410, c_Lattices_Osemilattice__inf__class_Oinf(_u15410)), _u15412), _u15411)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u15413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15413), _u15414)) | ( c_Big__Operators_Olinorder__class_OMin(_u15413, hAPP(hAPP(c_Set_Oinsert(_u15413), _u15415), _u15414)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15413, _u15413, c_Orderings_Oord__class_Omin(_u15413)), _u15415), _u15414)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u15416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15416), _u15417)) | ( c_Big__Operators_Olinorder__class_OMax(_u15416, hAPP(hAPP(c_Set_Oinsert(_u15416), _u15418), _u15417)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15416, _u15416, c_Orderings_Oord__class_Omax(_u15416)), _u15418), _u15417)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u15419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15419), _u15420)) | ( c_Big__Operators_Olattice_OInf__fin(_u15419, c_Orderings_Oord__class_Omin(_u15419), hAPP(hAPP(c_Set_Oinsert(_u15419), _u15421), _u15420)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15419, _u15419, c_Orderings_Oord__class_Omin(_u15419)), _u15421), _u15420)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u15422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15422), _u15423)) | ( c_Big__Operators_Olattice_OSup__fin(_u15422, c_Orderings_Oord__class_Omax(_u15422), hAPP(hAPP(c_Set_Oinsert(_u15422), _u15424), _u15423)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15422, _u15422, c_Orderings_Oord__class_Omax(_u15422)), _u15424), _u15423)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15425), _u15426)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15425, tc_HOL_Obool)), _u15427), _u15426) = hAPP(hAPP(c_Finite__Set_Ofold(_u15425, tc_fun(_u15425, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15425, tc_HOL_Obool), tc_fun(tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool)), _u15425), hAPP(c_COMBC(tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u15425, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u15425, tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool)), c_Set_Oinsert(_u15425)), c_Orderings_Obot__class_Obot(tc_fun(_u15425, tc_HOL_Obool))))), _u15427), _u15426)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u15428, _u15429, _u15430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15428), _u15431)) | hBOOL(hAPP(hAPP(c_member(_u15428), _u15432), _u15431)) | ( hAPP(_u15430, hAPP(hAPP(c_Set_Oinsert(_u15428), _u15432), _u15431)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15428, _u15428, _u15429), _u15432), _u15431)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15434), _u15435)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15434, _u15433), _u15435), _u15436) = hAPP(hAPP(c_Finite__Set_Ofold(_u15434, _u15433, hAPP(hAPP(c_COMBB(_u15433, tc_fun(_u15433, _u15433), _u15434), c_Lattices_Osemilattice__sup__class_Osup(_u15433)), _u15436)), c_Orderings_Obot__class_Obot(_u15433)), _u15435)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15437), _u15438)) | hBOOL(hAPP(hAPP(c_member(_u15437), _u15439), _u15438)) | ( hAPP(c_Finite__Set_Ofold1(_u15437, c_Groups_Otimes__class_Otimes(_u15437)), hAPP(hAPP(c_Set_Oinsert(_u15437), _u15439), _u15438)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15437, _u15437, c_Groups_Otimes__class_Otimes(_u15437)), _u15439), _u15438)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u15440) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15440), _u15441)) | hBOOL(hAPP(hAPP(c_member(_u15440), _u15442), _u15441)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15440, hAPP(hAPP(c_Set_Oinsert(_u15440), _u15442), _u15441)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15440, _u15440, c_Lattices_Osemilattice__sup__class_Osup(_u15440)), _u15442), _u15441)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u15443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15443), _u15444)) | hBOOL(hAPP(hAPP(c_member(_u15443), _u15445), _u15444)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15443, hAPP(hAPP(c_Set_Oinsert(_u15443), _u15445), _u15444)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15443, _u15443, c_Lattices_Osemilattice__inf__class_Oinf(_u15443)), _u15445), _u15444)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u15446) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15446), _u15447)) | hBOOL(hAPP(hAPP(c_member(_u15446), _u15448), _u15447)) | ( c_Big__Operators_Olinorder__class_OMin(_u15446, hAPP(hAPP(c_Set_Oinsert(_u15446), _u15448), _u15447)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15446, _u15446, c_Orderings_Oord__class_Omin(_u15446)), _u15448), _u15447)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u15449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15450)) | hBOOL(hAPP(hAPP(c_member(_u15449), _u15451), _u15450)) | ( c_Big__Operators_Olinorder__class_OMax(_u15449, hAPP(hAPP(c_Set_Oinsert(_u15449), _u15451), _u15450)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15449, _u15449, c_Orderings_Oord__class_Omax(_u15449)), _u15451), _u15450)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u15452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15452), _u15453)) | hBOOL(hAPP(hAPP(c_member(_u15452), _u15454), _u15453)) | ( c_Big__Operators_Olattice_OInf__fin(_u15452, c_Orderings_Oord__class_Omin(_u15452), hAPP(hAPP(c_Set_Oinsert(_u15452), _u15454), _u15453)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15452, _u15452, c_Orderings_Oord__class_Omin(_u15452)), _u15454), _u15453)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15455, _u15455)), hAPP(hAPP(c_Product__Type_OPair(_u15455, _u15455), _u15456), _u15457)), _u15458)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15455, _u15455)), hAPP(hAPP(c_Product__Type_OPair(_u15455, _u15455), _u15456), _u15457)), c_Transitive__Closure_Otrancl(_u15455, _u15458))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15459, _u15460)), hAPP(hAPP(c_Product__Type_OSigma(_u15459, _u15459), hAPP(c_Relation_OField(_u15459), _u15460)), hAPP(c_COMBK(tc_fun(_u15459, tc_HOL_Obool), _u15459), hAPP(c_Relation_OField(_u15459), _u15460))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15461, _u15461)), _u15462), _u15463)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15461, _u15461)), _u15462), c_Transitive__Closure_Otrancl(_u15461, _u15463))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15464, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15464, _u15464), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15464, _u15464), tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15465, _u15465), c_Transitive__Closure_Otrancl(_u15465, _u15466)) = hAPP(c_Relation_ODomain(_u15465, _u15465), _u15466)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u15467, _u15467), c_Transitive__Closure_Otrancl(_u15467, _u15468)) = hAPP(c_Relation_ORange(_u15467, _u15467), _u15468)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15471, _u15471)), c_Transitive__Closure_Otrancl(_u15471, _u15473))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15471, _u15471)), _u15473)) )).
% 13.05/13.28 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15472, _u15472)), _u15474)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15472, _u15472)), c_Transitive__Closure_Otrancl(_u15472, _u15474))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15475, _u15475)), hAPP(hAPP(c_Product__Type_OPair(_u15475, _u15475), _u15476), _u15477)), _u15478)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15475, _u15475)), hAPP(hAPP(c_Product__Type_OPair(_u15475, _u15475), _u15477), _u15479)), _u15478)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15475, _u15475)), hAPP(hAPP(c_Product__Type_OPair(_u15475, _u15475), _u15476), _u15479)), c_Transitive__Closure_Otrancl(_u15475, _u15478))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15480)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15480), _u15481), _u15482)), _u15483)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15480)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15480), _u15482), _u15484)), c_Transitive__Closure_Otrancl(_u15480, _u15483))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15480)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15480), _u15481), _u15484)), c_Transitive__Closure_Otrancl(_u15480, _u15483))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15485, _u15485)), hAPP(hAPP(c_Product__Type_OPair(_u15485, _u15485), _u15486), _u15487)), c_Transitive__Closure_Otrancl(_u15485, _u15488))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15485, _u15485)), hAPP(hAPP(c_Product__Type_OPair(_u15485, _u15485), _u15487), _u15489)), _u15488)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15485, _u15485)), hAPP(hAPP(c_Product__Type_OPair(_u15485, _u15485), _u15486), _u15489)), c_Transitive__Closure_Otrancl(_u15485, _u15488))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_Product__Type_OPair(_u15490, _u15490), _u15491), _u15492)), c_Transitive__Closure_Otrancl(_u15490, _u15493))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_Product__Type_OPair(_u15490, _u15490), _u15492), _u15494)), c_Transitive__Closure_Otrancl(_u15490, _u15493))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_Product__Type_OPair(_u15490, _u15490), _u15491), _u15494)), c_Transitive__Closure_Otrancl(_u15490, _u15493))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15495, _u15495)), _u15496), c_Transitive__Closure_Otrancl(_u15495, _u15497))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15495, _u15495), tc_HOL_Obool)), _u15497), _u15498)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15495, _u15495)), _u15496), c_Transitive__Closure_Otrancl(_u15495, _u15498))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15499, _u15500) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15499, _u15499), tc_HOL_Obool)), _u15500), hAPP(hAPP(c_Relation_Orel__comp(_u15499, _u15499, _u15499), c_Transitive__Closure_Otrancl(_u15499, _u15500)), _u15500))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15501, _u15501), tc_HOL_Obool)), _u15502), hAPP(hAPP(c_Product__Type_OSigma(_u15501, _u15501), _u15503), hAPP(c_COMBK(tc_fun(_u15501, tc_HOL_Obool), _u15501), _u15503)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15501, _u15501), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15501, _u15502)), hAPP(hAPP(c_Product__Type_OSigma(_u15501, _u15501), _u15503), hAPP(c_COMBK(tc_fun(_u15501, tc_HOL_Obool), _u15501), _u15503)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), _u15505), _u15506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15504, _u15504, _u15504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15504, _u15505)), _u15506)), _u15505)), _u15506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15504, _u15505)), _u15506)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15507, _u15508, _u15509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15507), _u15510)) | ~hBOOL(hAPP(hAPP(c_member(_u15507), _u15511), _u15510)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15507, _u15508, _u15509), _u15512), _u15510) = hAPP(hAPP(_u15509, _u15511), hAPP(hAPP(c_Finite__Set_Ofold(_u15507, _u15508, _u15509), _u15512), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15507, tc_HOL_Obool)), _u15510), hAPP(hAPP(c_Set_Oinsert(_u15507), _u15511), c_Orderings_Obot__class_Obot(tc_fun(_u15507, tc_HOL_Obool))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15513, _u15514, _u15515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15513), _u15516)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15513, _u15514, _u15515), _u15517), hAPP(hAPP(c_Set_Oinsert(_u15513), _u15518), _u15516)) = hAPP(hAPP(_u15515, _u15518), hAPP(hAPP(c_Finite__Set_Ofold(_u15513, _u15514, _u15515), _u15517), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15513, tc_HOL_Obool)), _u15516), hAPP(hAPP(c_Set_Oinsert(_u15513), _u15518), c_Orderings_Obot__class_Obot(tc_fun(_u15513, tc_HOL_Obool))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15519, _u15520, _u15521) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15519, _u15520, _u15521, _u15522, _u15523), _u15524)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15519, _u15520, _u15521, _u15522, _u15523), _u15525)) | ( _u15525 = _u15524) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15526, _u15527, _u15528) | c_Finite__Set_Ofun__left__comm(_u15529, _u15527, hAPP(hAPP(c_COMBB(_u15526, tc_fun(_u15527, _u15527), _u15529), _u15528), _u15530)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u15533, _u15534), hAPP(hAPP(_u15533, _u15535), _u15536)) = hAPP(hAPP(_u15533, _u15535), hAPP(hAPP(_u15533, _u15534), _u15536))) | ~c_Finite__Set_Ofun__left__comm(_u15531, _u15532, _u15533) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15537) | c_Finite__Set_Ofun__left__comm(_u15537, _u15537, c_Groups_Otimes__class_Otimes(_u15537)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u15539, _u15539, _u15539, hAPP(_u15540, _u15541)), hAPP(_u15540, _u15542)) = hAPP(c_Fun_Ocomp(_u15539, _u15539, _u15539, hAPP(_u15540, _u15542)), hAPP(_u15540, _u15541))) | ~c_Finite__Set_Ofun__left__comm(_u15538, _u15539, _u15540) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15543, _u15544, _u15545) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15543), _u15546)) | ( hAPP(hAPP(_u15545, _u15547), hAPP(hAPP(c_Finite__Set_Ofold(_u15543, _u15544, _u15545), _u15548), _u15546)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15543, _u15544, _u15545), hAPP(hAPP(_u15545, _u15547), _u15548)), _u15546)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15549, _u15550, _u15551) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15549, _u15550, _u15551, _u15552, _u15553), _u15554)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15549, _u15550, _u15551), _u15552), _u15553) = _u15554) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15555, _u15556, _u15557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15555), _u15558)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15555, _u15556, _u15557, _u15559, _u15558), hAPP(hAPP(c_Finite__Set_Ofold(_u15555, _u15556, _u15557), _u15559), _u15558))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15560, _u15561, _u15562) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15560), _u15563)) | hBOOL(hAPP(hAPP(c_member(_u15560), _u15564), _u15563)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15560, _u15561, _u15562), _u15565), hAPP(hAPP(c_Set_Oinsert(_u15560), _u15564), _u15563)) = hAPP(hAPP(_u15562, _u15564), hAPP(hAPP(c_Finite__Set_Ofold(_u15560, _u15561, _u15562), _u15565), _u15563))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15566, _u15567, _u15568) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15566), _u15569)) | hBOOL(hAPP(hAPP(c_member(_u15566), _u15570), _u15569)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15566, _u15567, _u15568), _u15571), hAPP(hAPP(c_Set_Oinsert(_u15566), _u15570), _u15569)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15566, _u15567, _u15568), hAPP(hAPP(_u15568, _u15570), _u15571)), _u15569)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15573, _u15574, _u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15573, _u15574, _u15575, _u15576, _u15577), _u15578)) | ~hBOOL(hAPP(hAPP(c_member(_u15573), _u15579), _u15577)) | ( _u15578 = hAPP(hAPP(_u15575, _u15579), skolem379(_u15579, _u15578, _u15577, _u15576, _u15575, _u15574, _u15573))) )).
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15573, _u15574, _u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15573, _u15574, _u15575, _u15576, _u15577), _u15578)) | ~hBOOL(hAPP(hAPP(c_member(_u15573), _u15579), _u15577)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15573, _u15574, _u15575, _u15576, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15573, tc_HOL_Obool)), _u15577), hAPP(hAPP(c_Set_Oinsert(_u15573), _u15579), c_Orderings_Obot__class_Obot(tc_fun(_u15573, tc_HOL_Obool))))), skolem379(_u15579, _u15578, _u15577, _u15576, _u15575, _u15574, _u15573))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15580, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15580, _u15580)), hAPP(hAPP(c_Product__Type_OPair(_u15580, _u15580), _u15581), _u15582)), _u15583)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15580, _u15583)), hAPP(c_Set_OCollect(tc_prod(_u15580, _u15580)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15580, _u15580, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15580, tc_fun(_u15580, tc_HOL_Obool), tc_fun(_u15580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15580, tc_HOL_Obool), tc_fun(_u15580, tc_HOL_Obool)), _u15580), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15580)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15580), c_fconj), hAPP(hAPP(c_COMBC(_u15580, tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15580, _u15580), tc_fun(tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), _u15580), c_member(tc_prod(_u15580, _u15580))), hAPP(hAPP(c_COMBC(_u15580, _u15580, tc_prod(_u15580, _u15580)), c_Product__Type_OPair(_u15580, _u15580)), _u15581))), c_Transitive__Closure_Ortrancl(_u15580, _u15583))))), hAPP(hAPP(c_COMBC(_u15580, tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15580, _u15580), tc_fun(tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), _u15580), c_member(tc_prod(_u15580, _u15580))), hAPP(c_Product__Type_OPair(_u15580, _u15580), _u15582))), c_Transitive__Closure_Ortrancl(_u15580, _u15583))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15584, _u15584)), _u15585), _u15586)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15584, _u15584)), _u15585), c_Transitive__Closure_Ortrancl(_u15584, _u15586))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15587, _u15587)), hAPP(hAPP(c_Product__Type_OPair(_u15587, _u15587), _u15588), _u15588)), c_Transitive__Closure_Ortrancl(_u15587, _u15589))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), hAPP(hAPP(c_Product__Type_OPair(_u15590, _u15590), _u15591), _u15592)), c_Transitive__Closure_Otrancl(_u15590, _u15593))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), hAPP(hAPP(c_Product__Type_OPair(_u15590, _u15590), _u15591), _u15592)), c_Transitive__Closure_Ortrancl(_u15590, _u15593))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15594, _u15594), c_Transitive__Closure_Ortrancl(_u15594, _u15595)) = c_Orderings_Otop__class_Otop(tc_fun(_u15594, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u15596, _u15596), c_Transitive__Closure_Ortrancl(_u15596, _u15597)) = c_Orderings_Otop__class_Otop(tc_fun(_u15596, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15598, _u15598, _u15598), c_Transitive__Closure_Ortrancl(_u15598, _u15599)), c_Transitive__Closure_Ortrancl(_u15598, _u15599)) = c_Transitive__Closure_Ortrancl(_u15598, _u15599)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15600, _u15600, _u15600), _u15601), c_Transitive__Closure_Ortrancl(_u15600, _u15601)) = hAPP(hAPP(c_Relation_Orel__comp(_u15600, _u15600, _u15600), c_Transitive__Closure_Ortrancl(_u15600, _u15601)), _u15601)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15602, _u15602), tc_HOL_Obool)), _u15604), _u15605)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, _u15604))) )).
% 13.05/13.28 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15602, _u15602), tc_HOL_Obool)), _u15604), _u15605)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, _u15605))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15606, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15606, _u15606), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15606, _u15607)), c_Transitive__Closure_Ortrancl(_u15606, _u15608))) = c_Transitive__Closure_Ortrancl(_u15606, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15606, _u15606), tc_HOL_Obool)), _u15607), _u15608))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15609, _u15609), tc_HOL_Obool)), _u15610), _u15611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15609, _u15609), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15609, _u15610)), c_Transitive__Closure_Ortrancl(_u15609, _u15611))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15612, _u15612), tc_HOL_Obool)), _u15613), _u15614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15612, _u15612), tc_HOL_Obool)), _u15614), c_Transitive__Closure_Ortrancl(_u15612, _u15613))) | ( c_Transitive__Closure_Ortrancl(_u15612, _u15614) = c_Transitive__Closure_Ortrancl(_u15612, _u15613)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15615, _u15615), tc_HOL_Obool)), _u15616), c_Transitive__Closure_Ortrancl(_u15615, _u15617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15615, _u15615), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15615, _u15616)), c_Transitive__Closure_Ortrancl(_u15615, _u15617))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15618, _u15618), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15618, _u15618), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15618, _u15619)), c_Transitive__Closure_Ortrancl(_u15618, _u15620))), c_Transitive__Closure_Ortrancl(_u15618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15618, _u15618), tc_HOL_Obool)), _u15619), _u15620)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15621, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15621, _u15621, _u15622), _u15623)), _u15623)) | ( hAPP(c_Relation_OImage(_u15621, _u15621, c_Transitive__Closure_Ortrancl(_u15621, _u15622)), _u15623) = _u15623) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15624, c_Transitive__Closure_Ortrancl(_u15624, _u15625)) = c_Transitive__Closure_Ortrancl(_u15624, _u15625)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15626, _u15626)), hAPP(hAPP(c_Product__Type_OPair(_u15626, _u15626), _u15627), _u15628)), c_Transitive__Closure_Ortrancl(_u15626, _u15629))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15626, _u15626)), hAPP(hAPP(c_Product__Type_OPair(_u15626, _u15626), _u15628), _u15630)), c_Transitive__Closure_Ortrancl(_u15626, _u15629))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15626, _u15626)), hAPP(hAPP(c_Product__Type_OPair(_u15626, _u15626), _u15627), _u15630)), c_Transitive__Closure_Ortrancl(_u15626, _u15629))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15632), _u15633)), c_Transitive__Closure_Ortrancl(_u15631, _u15634))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15633), _u15635)), _u15634)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15632), _u15635)), c_Transitive__Closure_Ortrancl(_u15631, _u15634))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15636, _u15636)), hAPP(hAPP(c_Product__Type_OPair(_u15636, _u15636), _u15637), _u15638)), _u15639)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15636, _u15636)), hAPP(hAPP(c_Product__Type_OPair(_u15636, _u15636), _u15638), _u15640)), c_Transitive__Closure_Ortrancl(_u15636, _u15639))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15636, _u15636)), hAPP(hAPP(c_Product__Type_OPair(_u15636, _u15636), _u15637), _u15640)), c_Transitive__Closure_Ortrancl(_u15636, _u15639))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u15641, c_Orderings_Otop__class_Otop(tc_fun(_u15641, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15641, _u15642)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15643, c_Transitive__Closure_Ortrancl(_u15643, _u15644)) = c_Transitive__Closure_Ortrancl(_u15643, _u15644)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15645, c_Transitive__Closure_Otrancl(_u15645, _u15646)) = c_Transitive__Closure_Ortrancl(_u15645, _u15646)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15647, _u15648) = hAPP(hAPP(c_Relation_Orel__comp(_u15647, _u15647, _u15647), _u15648), c_Transitive__Closure_Ortrancl(_u15647, _u15648))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15649, _u15650) = hAPP(hAPP(c_Relation_Orel__comp(_u15649, _u15649, _u15649), c_Transitive__Closure_Ortrancl(_u15649, _u15650)), _u15650)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15651, _u15651)), hAPP(hAPP(c_Product__Type_OPair(_u15651, _u15651), _u15652), _u15653)), c_Transitive__Closure_Ortrancl(_u15651, _u15654))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15651, _u15651)), hAPP(hAPP(c_Product__Type_OPair(_u15651, _u15651), _u15653), _u15655)), c_Transitive__Closure_Otrancl(_u15651, _u15654))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15651, _u15651)), hAPP(hAPP(c_Product__Type_OPair(_u15651, _u15651), _u15652), _u15655)), c_Transitive__Closure_Otrancl(_u15651, _u15654))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15656, _u15656)), hAPP(hAPP(c_Product__Type_OPair(_u15656, _u15656), _u15657), _u15658)), c_Transitive__Closure_Otrancl(_u15656, _u15659))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15656, _u15656)), hAPP(hAPP(c_Product__Type_OPair(_u15656, _u15656), _u15658), _u15660)), c_Transitive__Closure_Ortrancl(_u15656, _u15659))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15656, _u15656)), hAPP(hAPP(c_Product__Type_OPair(_u15656, _u15656), _u15657), _u15660)), c_Transitive__Closure_Otrancl(_u15656, _u15659))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15662), _u15663)), c_Transitive__Closure_Ortrancl(_u15661, _u15664))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15663), _u15665)), _u15664)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15662), _u15665)), c_Transitive__Closure_Otrancl(_u15661, _u15664))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15666, _u15666)), hAPP(hAPP(c_Product__Type_OPair(_u15666, _u15666), _u15667), _u15668)), c_Transitive__Closure_Ortrancl(_u15666, _u15669))) | ( _u15667 = _u15668) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15666, _u15666)), hAPP(hAPP(c_Product__Type_OPair(_u15666, _u15666), _u15667), _u15668)), c_Transitive__Closure_Otrancl(_u15666, _u15669))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15670, _u15670)), hAPP(hAPP(c_Product__Type_OPair(_u15670, _u15670), _u15671), _u15672)), _u15673)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15670, _u15670)), hAPP(hAPP(c_Product__Type_OPair(_u15670, _u15670), _u15672), _u15674)), c_Transitive__Closure_Ortrancl(_u15670, _u15673))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15670, _u15670)), hAPP(hAPP(c_Product__Type_OPair(_u15670, _u15670), _u15671), _u15674)), c_Transitive__Closure_Otrancl(_u15670, _u15673))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15679, _u15679)), hAPP(hAPP(c_Product__Type_OPair(_u15679, _u15679), _u15681), _u15683)), c_Transitive__Closure_Ortrancl(_u15679, _u15685))) | ( _u15681 = _u15683) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15679, _u15679)), hAPP(hAPP(c_Product__Type_OPair(_u15679, _u15679), _u15681), _u15683)), c_Transitive__Closure_Otrancl(_u15679, _u15685))) )).
% 13.05/13.28 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15680, _u15680)), hAPP(hAPP(c_Product__Type_OPair(_u15680, _u15680), _u15682), _u15684)), c_Transitive__Closure_Ortrancl(_u15680, _u15686))) | ( _u15682 != _u15684) )).
% 13.05/13.28 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15680, _u15680)), hAPP(hAPP(c_Product__Type_OPair(_u15680, _u15680), _u15682), _u15684)), c_Transitive__Closure_Ortrancl(_u15680, _u15686))) | ( _u15682 = _u15684) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15680, _u15680)), hAPP(hAPP(c_Product__Type_OPair(_u15680, _u15680), _u15682), _u15684)), c_Transitive__Closure_Otrancl(_u15680, _u15686))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15687), _u15688), hAPP(c_Relation_ODomain(_u15687, _u15687), _u15689))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15687, _u15687)), hAPP(hAPP(c_Product__Type_OPair(_u15687, _u15687), _u15688), _u15690)), c_Transitive__Closure_Ortrancl(_u15687, _u15689))) | ( _u15688 = _u15690) )).
% 13.05/13.28 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15687), _u15688), hAPP(c_Relation_ODomain(_u15687, _u15687), _u15689))) | ( _u15688 != _u15690) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15687, _u15687)), hAPP(hAPP(c_Product__Type_OPair(_u15687, _u15687), _u15688), _u15690)), c_Transitive__Closure_Ortrancl(_u15687, _u15689))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15691), _u15692), c_Wellfounded_Oacc(_u15691, _u15693))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15691, _u15691)), hAPP(hAPP(c_Product__Type_OPair(_u15691, _u15691), _u15694), _u15692)), c_Transitive__Closure_Ortrancl(_u15691, _u15693))) | hBOOL(hAPP(hAPP(c_member(_u15691), _u15694), c_Wellfounded_Oacc(_u15691, _u15693))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15695, _u15695)), hAPP(hAPP(c_Product__Type_OPair(_u15695, _u15695), _u15696), _u15697)), c_Transitive__Closure_Ortrancl(_u15695, _u15698))) | ~hBOOL(hAPP(hAPP(c_member(_u15695), _u15697), c_Wellfounded_Oacc(_u15695, _u15698))) | hBOOL(hAPP(hAPP(c_member(_u15695), _u15696), c_Wellfounded_Oacc(_u15695, _u15698))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u15703, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15703, _u15703)), hAPP(hAPP(c_Product__Type_OPair(_u15703, _u15703), _u15705), _u15707)), _u15709)) | c_Wellfounded_Owf(_u15703, _u15709) )).
% 13.05/13.28 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u15703, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15703, _u15703)), hAPP(hAPP(c_Product__Type_OPair(_u15703, _u15703), _u15705), _u15707)), _u15709)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15703, _u15703)), hAPP(hAPP(c_Product__Type_OPair(_u15703, _u15703), _u15707), _u15705)), c_Transitive__Closure_Ortrancl(_u15703, _u15709))) )).
% 13.05/13.28 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u15704, _u15710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15704, _u15704)), hAPP(hAPP(c_Product__Type_OPair(_u15704, _u15704), _u15708), _u15706)), c_Transitive__Closure_Ortrancl(_u15704, _u15710))) | c_Wellfounded_Owf(_u15704, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15704, _u15704)), hAPP(hAPP(c_Product__Type_OPair(_u15704, _u15704), _u15706), _u15708)), _u15710)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15715, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15717), _u15719)), _u15721)) | c_Wellfounded_Oacyclic(_u15715, _u15721) )).
% 13.05/13.28 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u15715, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15717), _u15719)), _u15721)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15719), _u15717)), c_Transitive__Closure_Ortrancl(_u15715, _u15721))) )).
% 13.05/13.28 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u15716, _u15722) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15716, _u15716)), hAPP(hAPP(c_Product__Type_OPair(_u15716, _u15716), _u15720), _u15718)), c_Transitive__Closure_Ortrancl(_u15716, _u15722))) | c_Wellfounded_Oacyclic(_u15716, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15716, _u15716)), hAPP(hAPP(c_Product__Type_OPair(_u15716, _u15716), _u15718), _u15720)), _u15722)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 13.05/13.28 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), _u15725), _u15727)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15725), _u15727)) )).
% 13.05/13.28 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15726), _u15728)) | 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), _u15726), _u15728)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15729, _u15729)), hAPP(hAPP(c_Product__Type_OPair(_u15729, _u15729), _u15730), _u15731)), c_Transitive__Closure_Ortrancl(_u15729, _u15732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15729, _u15729), tc_HOL_Obool)), _u15732), hAPP(hAPP(c_Product__Type_OSigma(_u15729, _u15729), _u15733), hAPP(c_COMBK(tc_fun(_u15729, tc_HOL_Obool), _u15729), _u15733)))) | ( _u15730 = _u15731) | hBOOL(hAPP(hAPP(c_member(_u15729), _u15730), _u15733)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15734, _u15734), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15734, _u15734), _u15735)), c_Transitive__Closure_Ortrancl(_u15734, _u15735)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15734, _u15734), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15734, _u15734)), hAPP(hAPP(c_Product__Type_OPair(_u15734, _u15734), _u15736), _u15736)), c_Transitive__Closure_Otrancl(_u15734, _u15735))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15738), _u15739)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15738, _u15737), _u15739), _u15740) = hAPP(hAPP(c_Finite__Set_Ofold(_u15738, _u15737, hAPP(hAPP(c_COMBB(_u15737, tc_fun(_u15737, _u15737), _u15738), c_Lattices_Osemilattice__inf__class_Oinf(_u15737)), _u15740)), c_Orderings_Otop__class_Otop(_u15737)), _u15739)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15741, tc_fun(_u15742, tc_fun(_u15743, tc_HOL_Obool))), _u15744), _u15745), _u15746), _u15747)) | hBOOL(hAPP(hAPP(hAPP(_u15745, _u15748), _u15746), _u15747)) | ~hBOOL(hAPP(hAPP(c_member(_u15741), _u15748), _u15744)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15749, tc_fun(_u15750, tc_fun(_u15751, tc_HOL_Obool))), _u15752), _u15753), _u15754), _u15755)) | ~hBOOL(hAPP(hAPP(c_member(_u15749), _u15756), _u15752)) | hBOOL(hAPP(hAPP(hAPP(_u15753, _u15756), _u15754), _u15755)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15757), _u15758), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15759, tc_fun(_u15757, tc_HOL_Obool)), _u15760), _u15761))) | ~hBOOL(hAPP(hAPP(c_member(_u15759), _u15762), _u15760)) | hBOOL(hAPP(hAPP(c_member(_u15757), _u15758), hAPP(_u15761, _u15762))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15763), _u15764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15765, tc_fun(_u15763, tc_HOL_Obool)), _u15766), _u15767))) | hBOOL(hAPP(hAPP(c_member(_u15763), _u15764), hAPP(_u15767, _u15768))) | ~hBOOL(hAPP(hAPP(c_member(_u15765), _u15768), _u15766)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15769, tc_fun(_u15770, tc_HOL_Obool)), _u15771), _u15772), _u15773)) | ~hBOOL(hAPP(hAPP(c_member(_u15769), _u15774), _u15771)) | hBOOL(hAPP(hAPP(_u15772, _u15774), _u15773)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15775, tc_fun(_u15776, tc_HOL_Obool)), _u15777), _u15778), _u15779)) | hBOOL(hAPP(hAPP(_u15778, _u15780), _u15779)) | ~hBOOL(hAPP(hAPP(c_member(_u15775), _u15780), _u15777)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15782), _u15781), _u15783)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15784), hAPP(_u15785, _u15781))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15784), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15782, tc_fun(_u15784, tc_HOL_Obool)), _u15783), _u15785))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u15786, hAPP(c_Relation_Oconverse(_u15786, _u15786), _u15787)) = hAPP(c_Relation_Oconverse(_u15786, _u15786), c_Transitive__Closure_Ortrancl(_u15786, _u15787))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u15788, hAPP(c_Relation_Oconverse(_u15788, _u15788), _u15789)) = hAPP(c_Relation_Oconverse(_u15788, _u15788), c_Transitive__Closure_Otrancl(_u15788, _u15789))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u15790, hAPP(c_Relation_Oconverse(_u15790, _u15790), _u15791)) | c_Wellfounded_Owf(_u15790, hAPP(c_Relation_Oconverse(_u15790, _u15790), c_Transitive__Closure_Otrancl(_u15790, _u15791))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u15792, _u15793), hAPP(c_Relation_Oconverse(_u15793, _u15792), _u15794)) = hAPP(c_Relation_ODomain(_u15793, _u15792), _u15794)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15795, _u15796), hAPP(c_Relation_Oconverse(_u15796, _u15795), _u15797)) = hAPP(c_Relation_ORange(_u15796, _u15795), _u15797)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u15798, _u15799), _u15800) = hAPP(c_Relation_ODomain(_u15799, _u15798), hAPP(c_Relation_Oconverse(_u15798, _u15799), _u15800))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u15801, _u15802, _u15803), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15804, tc_fun(_u15802, tc_HOL_Obool)), _u15805), _u15806)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15804, tc_fun(_u15801, tc_HOL_Obool)), _u15805), hAPP(hAPP(c_COMBB(tc_fun(_u15802, tc_HOL_Obool), tc_fun(_u15801, tc_HOL_Obool), _u15804), c_Set_Ovimage(_u15801, _u15802, _u15803)), _u15806))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u15809, hAPP(c_Relation_Oconverse(_u15809, _u15809), _u15811)) | c_Wellfounded_Oacyclic(_u15809, _u15811) )).
% 13.05/13.28 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u15810, _u15812) | c_Wellfounded_Oacyclic(_u15810, hAPP(c_Relation_Oconverse(_u15810, _u15810), _u15812)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__constant-1, axiom, ( ( _u15817 != c_Orderings_Obot__class_Obot(tc_fun(_u15819, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15819, tc_fun(_u15821, tc_HOL_Obool)), _u15817), hAPP(c_COMBK(tc_fun(_u15821, tc_HOL_Obool), _u15819), _u15823)) = c_Orderings_Otop__class_Otop(tc_fun(_u15821, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_INT__constant-2, axiom, ( ( _u15818 = c_Orderings_Obot__class_Obot(tc_fun(_u15820, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15820, tc_fun(_u15822, tc_HOL_Obool)), _u15818), hAPP(c_COMBK(tc_fun(_u15822, tc_HOL_Obool), _u15820), _u15824)) = _u15824) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15825, tc_fun(_u15826, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u15825, tc_HOL_Obool))), _u15827) = c_Orderings_Otop__class_Otop(tc_fun(_u15826, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15828) | ( _u15829 = c_Orderings_Obot__class_Obot(tc_fun(_u15830, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15830, _u15828), _u15829), hAPP(c_COMBK(_u15828, _u15830), _u15831)) = _u15831) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u15837 != c_Orderings_Obot__class_Obot(tc_fun(_u15839, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15841, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15839, tc_fun(_u15841, tc_HOL_Obool)), _u15837), _u15843)), _u15845) = _u15845) )).
% 13.05/13.28 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u15838 = c_Orderings_Obot__class_Obot(tc_fun(_u15840, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15842, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15840, tc_fun(_u15842, tc_HOL_Obool)), _u15838), _u15844)), _u15846) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15840, tc_fun(_u15842, tc_HOL_Obool)), _u15838), hAPP(hAPP(c_COMBC(_u15840, tc_fun(_u15842, tc_HOL_Obool), tc_fun(_u15842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15842, tc_HOL_Obool), tc_fun(tc_fun(_u15842, tc_HOL_Obool), tc_fun(_u15842, tc_HOL_Obool)), _u15840), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15842, tc_HOL_Obool))), _u15844)), _u15846))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u15852 != c_Orderings_Obot__class_Obot(tc_fun(_u15854, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15856, tc_HOL_Obool)), _u15858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15854, tc_fun(_u15856, tc_HOL_Obool)), _u15852), _u15860)) = _u15858) )).
% 13.05/13.28 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u15853 = c_Orderings_Obot__class_Obot(tc_fun(_u15855, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15857, tc_HOL_Obool)), _u15859), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15855, tc_fun(_u15857, tc_HOL_Obool)), _u15853), _u15861)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15855, tc_fun(_u15857, tc_HOL_Obool)), _u15853), hAPP(hAPP(c_COMBB(tc_fun(_u15857, tc_HOL_Obool), tc_fun(_u15857, tc_HOL_Obool), _u15855), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15857, tc_HOL_Obool)), _u15859)), _u15861))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15862, _u15863), hAPP(hAPP(c_Relation_Orel__comp(_u15862, _u15864, _u15863), _u15865), _u15866)) = hAPP(hAPP(c_Relation_Orel__comp(_u15863, _u15864, _u15862), hAPP(c_Relation_Oconverse(_u15864, _u15863), _u15866)), hAPP(c_Relation_Oconverse(_u15862, _u15864), _u15865))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15867, tc_fun(_u15868, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15867, tc_HOL_Obool)), _u15869), _u15870)), _u15871) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15868, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15867, tc_fun(_u15868, tc_HOL_Obool)), _u15869), _u15871)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15867, tc_fun(_u15868, tc_HOL_Obool)), _u15870), _u15871))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15872, tc_fun(_u15873, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u15872), _u15874), _u15875)), _u15876) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15873, tc_HOL_Obool)), hAPP(_u15876, _u15874)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15872, tc_fun(_u15873, tc_HOL_Obool)), _u15875), _u15876))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15881, _u15879), _u15882), _u15883))) | ~hBOOL(hAPP(hAPP(c_member(_u15881), _u15877), _u15882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(_u15883, _u15877))) )).
% 13.05/13.28 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15879) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15881, _u15879), _u15882), _u15883))) | hBOOL(hAPP(hAPP(c_member(_u15881), skolem380(_u15883, _u15882, _u15881, _u15880, _u15879)), _u15882)) )).
% 13.05/13.28 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15879) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15881, _u15879), _u15882), _u15883))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(_u15883, skolem380(_u15883, _u15882, _u15881, _u15880, _u15879)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15884), _u15885), _u15886)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15884, tc_fun(_u15887, tc_HOL_Obool)), _u15886), hAPP(hAPP(c_COMBB(tc_fun(_u15887, tc_HOL_Obool), tc_fun(_u15887, tc_HOL_Obool), _u15884), hAPP(c_Set_Oinsert(_u15887), _u15888)), _u15889)) = hAPP(hAPP(c_Set_Oinsert(_u15887), _u15888), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15884, tc_fun(_u15887, tc_HOL_Obool)), _u15886), _u15889))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15890), _u15891), _u15892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15893, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15890, tc_fun(_u15893, tc_HOL_Obool)), _u15892), _u15894)), hAPP(_u15894, _u15891))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15895, tc_fun(_u15896, tc_HOL_Obool)), _u15897), hAPP(hAPP(c_COMBB(tc_fun(_u15896, tc_HOL_Obool), tc_fun(_u15896, tc_HOL_Obool), _u15895), hAPP(c_Set_Oinsert(_u15896), _u15898)), _u15899)) = hAPP(hAPP(c_Set_Oinsert(_u15896), _u15898), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15895, tc_fun(_u15896, tc_HOL_Obool)), _u15897), _u15899))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u15900), _u15901), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15902, tc_fun(_u15900, tc_HOL_Obool)), _u15903), _u15904)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15902, tc_fun(_u15900, tc_HOL_Obool)), _u15903), hAPP(hAPP(c_COMBB(tc_fun(_u15900, tc_HOL_Obool), tc_fun(_u15900, tc_HOL_Obool), _u15902), hAPP(c_Set_Oinsert(_u15900), _u15901)), _u15904))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15905, _u15906), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15905, _u15906), tc_HOL_Obool)), _u15907), _u15908)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15906, _u15905), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15905, _u15906), _u15907)), hAPP(c_Relation_Oconverse(_u15905, _u15906), _u15908))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15916, tc_HOL_Obool)), _u15918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15920, tc_fun(_u15916, tc_HOL_Obool)), _u15922), _u15924))) | ~hBOOL(hAPP(hAPP(c_member(_u15920), _u15909), _u15922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15916, tc_HOL_Obool)), _u15918), hAPP(_u15924, _u15909))) )).
% 13.05/13.28 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15917, tc_HOL_Obool)), _u15919), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15921, tc_fun(_u15917, tc_HOL_Obool)), _u15923), _u15925))) | hBOOL(hAPP(hAPP(c_member(_u15921), skolem381(_u15925, _u15923, _u15921, _u15919, _u15917)), _u15923)) )).
% 13.05/13.28 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15917, tc_HOL_Obool)), _u15919), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15921, tc_fun(_u15917, tc_HOL_Obool)), _u15923), _u15925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15917, tc_HOL_Obool)), _u15919), hAPP(_u15925, skolem381(_u15925, _u15923, _u15921, _u15919, _u15917)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15926, tc_fun(_u15927, tc_HOL_Obool)), _u15928), hAPP(hAPP(c_COMBB(tc_fun(_u15927, tc_HOL_Obool), tc_fun(_u15927, tc_HOL_Obool), _u15926), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15927, tc_HOL_Obool)), _u15929)), _u15930)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15927, tc_HOL_Obool)), _u15929), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15926, tc_fun(_u15927, tc_HOL_Obool)), _u15928), _u15930))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15931, tc_fun(_u15932, tc_HOL_Obool)), _u15933), hAPP(hAPP(c_COMBC(_u15931, tc_fun(_u15932, tc_HOL_Obool), tc_fun(_u15932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15932, tc_HOL_Obool), tc_fun(tc_fun(_u15932, tc_HOL_Obool), tc_fun(_u15932, tc_HOL_Obool)), _u15931), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15932, tc_HOL_Obool))), _u15934)), _u15935)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15932, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15931, tc_fun(_u15932, tc_HOL_Obool)), _u15933), _u15934)), _u15935)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15936, tc_HOL_Obool)), _u15937), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15938, tc_fun(_u15936, tc_HOL_Obool)), _u15939), _u15940)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15938, tc_fun(_u15936, tc_HOL_Obool)), _u15939), hAPP(hAPP(c_COMBB(tc_fun(_u15936, tc_HOL_Obool), tc_fun(_u15936, tc_HOL_Obool), _u15938), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15936, tc_HOL_Obool)), _u15937)), _u15940))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15941, tc_HOL_Obool)), _u15942), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15943, tc_fun(_u15941, tc_HOL_Obool)), _u15944), _u15945)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15943, tc_fun(_u15941, tc_HOL_Obool)), _u15944), hAPP(hAPP(c_COMBB(tc_fun(_u15941, tc_HOL_Obool), tc_fun(_u15941, tc_HOL_Obool), _u15943), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15941, tc_HOL_Obool)), _u15942)), _u15945))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15946, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15947, tc_fun(_u15946, tc_HOL_Obool)), _u15948), _u15949)), _u15950) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15947, tc_fun(_u15946, tc_HOL_Obool)), _u15948), hAPP(hAPP(c_COMBC(_u15947, tc_fun(_u15946, tc_HOL_Obool), tc_fun(_u15946, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15946, tc_HOL_Obool), tc_fun(tc_fun(_u15946, tc_HOL_Obool), tc_fun(_u15946, tc_HOL_Obool)), _u15947), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15946, tc_HOL_Obool))), _u15949)), _u15950))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15952, tc_fun(_u15951, tc_HOL_Obool)), _u15953), _u15954)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15955, tc_fun(_u15951, tc_HOL_Obool)), _u15956), _u15957)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15952, tc_fun(_u15951, tc_HOL_Obool)), _u15953), hAPP(hAPP(c_COMBB(tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool)), tc_fun(_u15951, tc_HOL_Obool), _u15952), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15955, tc_fun(_u15951, tc_HOL_Obool)), _u15956)), hAPP(hAPP(c_COMBC(_u15952, tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool)), tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15951, tc_HOL_Obool), tc_fun(_u15951, tc_HOL_Obool)), tc_fun(tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool)), tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool))), _u15952), c_COMBB(tc_fun(_u15951, tc_HOL_Obool), tc_fun(_u15951, tc_HOL_Obool), _u15955)), hAPP(hAPP(c_COMBB(tc_fun(_u15951, tc_HOL_Obool), tc_fun(tc_fun(_u15951, tc_HOL_Obool), tc_fun(_u15951, tc_HOL_Obool)), _u15952), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15951, tc_HOL_Obool))), _u15954))), _u15957)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15958, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15959, _u15958, _u15960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15961, tc_fun(_u15959, tc_HOL_Obool)), _u15962), _u15963))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15961, tc_fun(_u15958, tc_HOL_Obool)), _u15962), hAPP(hAPP(c_COMBB(tc_fun(_u15959, tc_HOL_Obool), tc_fun(_u15958, tc_HOL_Obool), _u15961), c_Relation_OImage(_u15959, _u15958, _u15960)), _u15963)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u15964), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15965, tc_fun(_u15964, tc_HOL_Obool)), _u15966), _u15967)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15965, tc_fun(tc_fun(_u15964, tc_HOL_Obool), tc_HOL_Obool)), _u15966), hAPP(hAPP(c_COMBB(tc_fun(_u15964, tc_HOL_Obool), tc_fun(tc_fun(_u15964, tc_HOL_Obool), tc_HOL_Obool), _u15965), c_Set_OPow(_u15964)), _u15967))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15968, _u15968), c_Relation_OId__on(_u15968, _u15969)) = c_Relation_OId__on(_u15968, _u15969)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u15970), hAPP(c_Relation_Oconverse(_u15970, _u15970), _u15971)) = hAPP(c_Relation_OField(_u15970), _u15971)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15972, _u15973), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15974, tc_fun(tc_prod(_u15972, _u15973), tc_HOL_Obool)), _u15975), _u15976)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15974, tc_fun(tc_prod(_u15973, _u15972), tc_HOL_Obool)), _u15975), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15972, _u15973), tc_HOL_Obool), tc_fun(tc_prod(_u15973, _u15972), tc_HOL_Obool), _u15974), c_Relation_Oconverse(_u15972, _u15973)), _u15976))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15977, _u15978), hAPP(c_Relation_Oconverse(_u15978, _u15977), _u15979)) = _u15979) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u15980, _u15980), hAPP(hAPP(c_Relation_Oinv__image(_u15981, _u15980), _u15982), _u15983)) = hAPP(hAPP(c_Relation_Oinv__image(_u15981, _u15980), hAPP(c_Relation_Oconverse(_u15981, _u15981), _u15982)), _u15983)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15984) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15985, _u15984), _u15986), hAPP(hAPP(c_COMBB(tc_fun(_u15987, _u15984), _u15984, _u15985), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15987, _u15984), _u15988)), _u15989)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15987, _u15984), _u15988), hAPP(hAPP(c_COMBB(tc_fun(_u15985, _u15984), _u15984, _u15987), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15985, _u15984), _u15986)), hAPP(c_COMBC(_u15985, _u15987, _u15984), _u15989)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15990) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15991, tc_fun(_u15992, _u15990)), _u15993), _u15994), _u15995) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15991, _u15990), _u15993), hAPP(hAPP(c_COMBC(_u15991, _u15992, _u15990), _u15994), _u15995))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15996, tc_fun(_u15997, tc_HOL_Obool)), _u15998), hAPP(hAPP(c_COMBS(_u15996, tc_fun(_u15997, tc_HOL_Obool), tc_fun(_u15997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15997, tc_HOL_Obool), tc_fun(tc_fun(_u15997, tc_HOL_Obool), tc_fun(_u15997, tc_HOL_Obool)), _u15996), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15997, tc_HOL_Obool))), _u15999)), _u16000)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15997, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15996, tc_fun(_u15997, tc_HOL_Obool)), _u15998), _u15999)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15996, tc_fun(_u15997, tc_HOL_Obool)), _u15998), _u16000))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u16001, _u16002), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16001, _u16002), tc_HOL_Obool)), _u16003), _u16004)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16002, _u16001), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u16001, _u16002), _u16003)), hAPP(c_Relation_Oconverse(_u16001, _u16002), _u16004))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16011, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16013, tc_fun(_u16011, tc_HOL_Obool)), _u16015), _u16017)) | ~hBOOL(hAPP(hAPP(c_member(_u16013), _u16005), _u16015)) | ( hAPP(_u16017, _u16005) = c_Orderings_Otop__class_Otop(tc_fun(_u16011, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16012, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16014, tc_fun(_u16012, tc_HOL_Obool)), _u16016), _u16018)) | hBOOL(hAPP(hAPP(c_member(_u16014), skolem382(_u16018, _u16016, _u16014, _u16012)), _u16016)) )).
% 13.05/13.28 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16012, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16014, tc_fun(_u16012, tc_HOL_Obool)), _u16016), _u16018)) | ( hAPP(_u16018, skolem382(_u16018, _u16016, _u16014, _u16012)) != c_Orderings_Otop__class_Otop(tc_fun(_u16012, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16025, tc_fun(_u16027, tc_HOL_Obool)), _u16029), _u16031) != c_Orderings_Otop__class_Otop(tc_fun(_u16027, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u16025), _u16019), _u16029)) | ( hAPP(_u16031, _u16019) = c_Orderings_Otop__class_Otop(tc_fun(_u16027, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16026, tc_fun(_u16028, tc_HOL_Obool)), _u16030), _u16032) = c_Orderings_Otop__class_Otop(tc_fun(_u16028, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u16026), skolem383(_u16032, _u16030, _u16028, _u16026)), _u16030)) )).
% 13.05/13.28 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16026, tc_fun(_u16028, tc_HOL_Obool)), _u16030), _u16032) = c_Orderings_Otop__class_Otop(tc_fun(_u16028, tc_HOL_Obool))) | ( hAPP(_u16032, skolem383(_u16032, _u16030, _u16028, _u16026)) != c_Orderings_Otop__class_Otop(tc_fun(_u16028, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16036, _u16038)), hAPP(c_Relation_Oconverse(_u16038, _u16036), _u16040))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16038, _u16036)), _u16040)) )).
% 13.05/13.28 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16039, _u16037)), _u16041)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16037, _u16039)), hAPP(c_Relation_Oconverse(_u16039, _u16037), _u16041))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16048, tc_fun(_u16050, tc_fun(_u16052, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16048, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_fun(_u16050, tc_fun(_u16052, tc_HOL_Obool)), _u16048), hAPP(c_COMBC(_u16050, tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_fun(_u16052, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16052, tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_fun(_u16052, tc_HOL_Obool)), _u16050), c_COMBC(_u16052, tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16052, tc_prod(_u16050, _u16052)), tc_fun(_u16052, tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool)), _u16050), hAPP(c_COMBB(tc_prod(_u16050, _u16052), tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool), _u16052), c_member(tc_prod(_u16050, _u16052)))), c_Product__Type_OPair(_u16050, _u16052))))), _u16054)), _u16056), _u16058)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16050, _u16052)), hAPP(hAPP(c_Product__Type_OPair(_u16050, _u16052), _u16056), _u16058)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16048, tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16048, tc_HOL_Obool))), _u16054))) )).
% 13.05/13.28 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16051, _u16053)), hAPP(hAPP(c_Product__Type_OPair(_u16051, _u16053), _u16057), _u16059)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16049, tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16049, tc_HOL_Obool))), _u16055))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16049, tc_fun(_u16051, tc_fun(_u16053, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16049, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_fun(_u16051, tc_fun(_u16053, tc_HOL_Obool)), _u16049), hAPP(c_COMBC(_u16051, tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_fun(_u16053, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16053, tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_fun(_u16053, tc_HOL_Obool)), _u16051), c_COMBC(_u16053, tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16053, tc_prod(_u16051, _u16053)), tc_fun(_u16053, tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool)), _u16051), hAPP(c_COMBB(tc_prod(_u16051, _u16053), tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool), _u16053), c_member(tc_prod(_u16051, _u16053)))), c_Product__Type_OPair(_u16051, _u16053))))), _u16055)), _u16057), _u16059)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16067), _u16069), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16071, tc_fun(_u16067, tc_HOL_Obool)), _u16073), _u16075))) | ~hBOOL(hAPP(hAPP(c_member(_u16071), _u16060), _u16073)) | hBOOL(hAPP(hAPP(c_member(_u16067), _u16069), hAPP(_u16075, _u16060))) )).
% 13.05/13.28 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16068), _u16070), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16072, tc_fun(_u16068, tc_HOL_Obool)), _u16074), _u16076))) | hBOOL(hAPP(hAPP(c_member(_u16072), skolem384(_u16076, _u16074, _u16072, _u16070, _u16068)), _u16074)) )).
% 13.05/13.28 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16068), _u16070), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16072, tc_fun(_u16068, tc_HOL_Obool)), _u16074), _u16076))) | ~hBOOL(hAPP(hAPP(c_member(_u16068), _u16070), hAPP(_u16076, skolem384(_u16076, _u16074, _u16072, _u16070, _u16068)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16077), _u16078), _u16079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16080, tc_HOL_Obool)), hAPP(_u16081, _u16078)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16077, tc_fun(_u16080, tc_HOL_Obool)), _u16079), _u16081)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16077, tc_fun(_u16080, tc_HOL_Obool)), _u16079), _u16081)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16086, tc_fun(_u16088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16086, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16088, tc_HOL_Obool), tc_fun(_u16088, tc_HOL_Obool), _u16086), hAPP(c_COMBC(_u16088, tc_fun(_u16088, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16088))), _u16090)), _u16092)) | hBOOL(hAPP(hAPP(c_member(_u16088), _u16092), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16086, tc_fun(_u16088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16086, tc_HOL_Obool))), _u16090))) )).
% 13.05/13.28 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16089), _u16093), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16087, tc_fun(_u16089, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16087, tc_HOL_Obool))), _u16091))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16087, tc_fun(_u16089, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16087, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16089, tc_HOL_Obool), tc_fun(_u16089, tc_HOL_Obool), _u16087), hAPP(c_COMBC(_u16089, tc_fun(_u16089, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16089))), _u16091)), _u16093)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16096) | ~class_Orderings_Olinorder(_u16096) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16097, _u16096), _u16098), _u16099)), _u16100)) | hBOOL(hAPP(hAPP(c_member(_u16097), skolem385(_u16100, _u16099, _u16098, _u16097, _u16096)), _u16098)) )).
% 13.05/13.28 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16096) | ~class_Orderings_Olinorder(_u16096) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16097, _u16096), _u16098), _u16099)), _u16100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(_u16099, skolem385(_u16100, _u16099, _u16098, _u16097, _u16096))), _u16100)) )).
% 13.05/13.28 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16096) | ~class_Orderings_Olinorder(_u16096) | ~hBOOL(hAPP(hAPP(c_member(_u16097), _u16095), _u16098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(_u16099, _u16095)), _u16100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16097, _u16096), _u16098), _u16099)), _u16100)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16106, _u16108), _u16110), _u16112)), hAPP(c_Relation_Oconverse(_u16108, _u16106), _u16114))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16106)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16106), _u16112), _u16110)), _u16114)) )).
% 13.05/13.28 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16109, _u16107)), hAPP(hAPP(c_Product__Type_OPair(_u16109, _u16107), _u16113), _u16111)), _u16115)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16109)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16109), _u16111), _u16113)), hAPP(c_Relation_Oconverse(_u16109, _u16107), _u16115))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converseI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16116, _u16117)), hAPP(hAPP(c_Product__Type_OPair(_u16116, _u16117), _u16118), _u16119)), _u16120)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16117, _u16116)), hAPP(hAPP(c_Product__Type_OPair(_u16117, _u16116), _u16119), _u16118)), hAPP(c_Relation_Oconverse(_u16116, _u16117), _u16120))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converseD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16121, _u16122)), hAPP(hAPP(c_Product__Type_OPair(_u16121, _u16122), _u16123), _u16124)), hAPP(c_Relation_Oconverse(_u16122, _u16121), _u16125))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16122, _u16121)), hAPP(hAPP(c_Product__Type_OPair(_u16122, _u16121), _u16124), _u16123)), _u16125)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u16129, _u16131, hAPP(c_Relation_Oconverse(_u16129, _u16129), _u16133)) | c_Relation_Orefl__on(_u16129, _u16131, _u16133) )).
% 13.05/13.28 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u16130, _u16132, _u16134) | c_Relation_Orefl__on(_u16130, _u16132, hAPP(c_Relation_Oconverse(_u16130, _u16130), _u16134)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16135, tc_fun(_u16136, tc_HOL_Obool)), _u16137), hAPP(hAPP(c_COMBB(_u16138, tc_fun(_u16136, tc_HOL_Obool), _u16135), _u16139), _u16140)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16138, tc_fun(_u16136, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16135, _u16138, _u16140), _u16137)), _u16139)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16141, tc_fun(_u16142, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16143, _u16141, _u16144), _u16145)), _u16146) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16143, tc_fun(_u16142, tc_HOL_Obool)), _u16145), hAPP(hAPP(c_COMBB(_u16141, tc_fun(_u16142, tc_HOL_Obool), _u16143), _u16146), _u16144))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16147, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16148, tc_fun(_u16147, tc_HOL_Obool)), _u16149), _u16150)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16148, tc_fun(_u16147, tc_HOL_Obool)), _u16149), hAPP(hAPP(c_COMBB(tc_fun(_u16147, tc_HOL_Obool), tc_fun(_u16147, tc_HOL_Obool), _u16148), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16147, tc_HOL_Obool))), _u16150))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16151, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16152, tc_fun(_u16151, tc_HOL_Obool)), _u16153), _u16154)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16152, tc_fun(_u16151, tc_HOL_Obool)), _u16153), hAPP(hAPP(c_COMBB(tc_fun(_u16151, tc_HOL_Obool), tc_fun(_u16151, tc_HOL_Obool), _u16152), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16151, tc_HOL_Obool))), _u16154))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u16155, _u16156), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16157, tc_fun(tc_prod(_u16155, _u16156), tc_HOL_Obool)), _u16158), _u16159)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16157, tc_fun(tc_prod(_u16156, _u16155), tc_HOL_Obool)), _u16158), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16155, _u16156), tc_HOL_Obool), tc_fun(tc_prod(_u16156, _u16155), tc_HOL_Obool), _u16157), c_Relation_Oconverse(_u16155, _u16156)), _u16159))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16160, tc_fun(_u16161, tc_HOL_Obool)), _u16162), hAPP(hAPP(c_COMBC(_u16160, tc_fun(_u16163, tc_fun(_u16161, tc_HOL_Obool)), tc_fun(_u16161, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16163, tc_HOL_Obool), tc_fun(tc_fun(_u16163, tc_fun(_u16161, tc_HOL_Obool)), tc_fun(_u16161, tc_HOL_Obool)), _u16160), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16163, tc_fun(_u16161, tc_HOL_Obool))), _u16164)), _u16165)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16163, tc_fun(_u16161, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16160, tc_fun(_u16163, tc_HOL_Obool)), _u16162), _u16164)), _u16165)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16166, tc_fun(_u16167, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16168, tc_fun(_u16166, tc_HOL_Obool)), _u16169), _u16170)), _u16171) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16168, tc_fun(_u16167, tc_HOL_Obool)), _u16169), hAPP(hAPP(c_COMBC(_u16168, tc_fun(_u16166, tc_fun(_u16167, tc_HOL_Obool)), tc_fun(_u16167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16166, tc_HOL_Obool), tc_fun(tc_fun(_u16166, tc_fun(_u16167, tc_HOL_Obool)), tc_fun(_u16167, tc_HOL_Obool)), _u16168), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16166, tc_fun(_u16167, tc_HOL_Obool))), _u16170)), _u16171))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16172, tc_fun(_u16173, tc_HOL_Obool)), _u16174), hAPP(hAPP(c_COMBB(tc_fun(_u16173, tc_HOL_Obool), tc_fun(_u16173, tc_HOL_Obool), _u16172), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16173, tc_HOL_Obool)), _u16175)), _u16176)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16173, tc_HOL_Obool)), _u16175), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16172, tc_fun(_u16173, tc_HOL_Obool)), _u16174), _u16176))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16177, tc_HOL_Obool)), _u16178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16179, tc_fun(_u16177, tc_HOL_Obool)), _u16180), _u16181)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16179, tc_fun(_u16177, tc_HOL_Obool)), _u16180), hAPP(hAPP(c_COMBB(tc_fun(_u16177, tc_HOL_Obool), tc_fun(_u16177, tc_HOL_Obool), _u16179), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16177, tc_HOL_Obool)), _u16178)), _u16181))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u16182), hAPP(hAPP(c_COMBB(tc_fun(_u16183, tc_HOL_Obool), tc_HOL_Obool, _u16182), c_HOL_OAll(_u16183)), hAPP(hAPP(c_COMBB(tc_fun(_u16183, tc_HOL_Obool), tc_fun(_u16183, tc_HOL_Obool), _u16182), hAPP(c_COMBS(_u16183, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16183), c_fimplies), hAPP(hAPP(c_COMBC(_u16183, tc_fun(_u16183, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16183)), _u16184)))), _u16185))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16183, tc_fun(_u16182, tc_HOL_Obool)), _u16184), hAPP(hAPP(c_COMBB(tc_fun(_u16182, tc_HOL_Obool), tc_fun(_u16182, tc_HOL_Obool), _u16183), c_Set_OCollect(_u16182)), hAPP(c_COMBC(_u16182, _u16183, tc_HOL_Obool), _u16185)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16186, tc_HOL_Obool) = c_Set_OBall(_u16186)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u16187, _u16188, _u16189) | ( hAPP(hAPP(c_Relation_Orel__comp(_u16187, _u16187, _u16187), hAPP(c_Relation_Oconverse(_u16187, _u16187), _u16189)), _u16189) = _u16189) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16191, tc_HOL_Obool)), _u16192), _u16193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16190), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16191, _u16190), _u16193), _u16194)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16191, _u16190), _u16192), _u16194))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16195, tc_fun(_u16196, tc_HOL_Obool)), _u16197), _u16198) = hAPP(c_Set_OCollect(_u16196), hAPP(hAPP(c_COMBB(tc_fun(_u16195, tc_HOL_Obool), tc_HOL_Obool, _u16196), c_HOL_OAll(_u16195)), hAPP(hAPP(c_COMBB(tc_fun(_u16195, tc_HOL_Obool), tc_fun(_u16195, tc_HOL_Obool), _u16196), hAPP(c_COMBS(_u16195, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16195), c_fimplies), hAPP(hAPP(c_COMBC(_u16195, tc_fun(_u16195, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16195)), _u16197)))), hAPP(hAPP(c_COMBC(_u16196, tc_fun(_u16195, tc_fun(_u16196, tc_HOL_Obool)), tc_fun(_u16195, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16196, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16195, tc_fun(_u16196, tc_HOL_Obool)), tc_fun(_u16195, tc_HOL_Obool)), _u16196), c_COMBB(tc_fun(_u16196, tc_HOL_Obool), tc_HOL_Obool, _u16195)), c_member(_u16196))), _u16198))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u16204 != c_Orderings_Obot__class_Obot(tc_fun(_u16206, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16206, tc_fun(_u16208, tc_HOL_Obool)), _u16204), hAPP(hAPP(c_COMBB(tc_fun(_u16208, tc_HOL_Obool), tc_fun(_u16208, tc_HOL_Obool), _u16206), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16208, tc_HOL_Obool)), _u16210)), _u16212)) = c_Orderings_Otop__class_Otop(tc_fun(_u16208, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u16205 = c_Orderings_Obot__class_Obot(tc_fun(_u16207, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16207, tc_fun(_u16209, tc_HOL_Obool)), _u16205), hAPP(hAPP(c_COMBB(tc_fun(_u16209, tc_HOL_Obool), tc_fun(_u16209, tc_HOL_Obool), _u16207), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16209, tc_HOL_Obool)), _u16211)), _u16213)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16209, tc_HOL_Obool)), _u16211), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16207, tc_fun(_u16209, tc_HOL_Obool)), _u16205), _u16213))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u16219 != c_Orderings_Obot__class_Obot(tc_fun(_u16221, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16221, tc_fun(_u16223, tc_HOL_Obool)), _u16219), hAPP(hAPP(c_COMBC(_u16221, tc_fun(_u16223, tc_HOL_Obool), tc_fun(_u16223, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16223, tc_HOL_Obool), tc_fun(tc_fun(_u16223, tc_HOL_Obool), tc_fun(_u16223, tc_HOL_Obool)), _u16221), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16223, tc_HOL_Obool))), _u16225)), _u16227)) = c_Orderings_Otop__class_Otop(tc_fun(_u16223, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u16220 = c_Orderings_Obot__class_Obot(tc_fun(_u16222, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16222, tc_fun(_u16224, tc_HOL_Obool)), _u16220), hAPP(hAPP(c_COMBC(_u16222, tc_fun(_u16224, tc_HOL_Obool), tc_fun(_u16224, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16224, tc_HOL_Obool), tc_fun(tc_fun(_u16224, tc_HOL_Obool), tc_fun(_u16224, tc_HOL_Obool)), _u16222), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16224, tc_HOL_Obool))), _u16226)), _u16228)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16224, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16222, tc_fun(_u16224, tc_HOL_Obool)), _u16220), _u16226)), _u16228)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u16234 != c_Orderings_Obot__class_Obot(tc_fun(_u16236, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16238, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16236, tc_fun(_u16238, tc_HOL_Obool)), _u16234), _u16240)), _u16242) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16238, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16238, tc_HOL_Obool))), _u16242)) )).
% 13.05/13.28 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u16235 = c_Orderings_Obot__class_Obot(tc_fun(_u16237, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16239, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16237, tc_fun(_u16239, tc_HOL_Obool)), _u16235), _u16241)), _u16243) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16237, tc_fun(_u16239, tc_HOL_Obool)), _u16235), hAPP(hAPP(c_COMBC(_u16237, tc_fun(_u16239, tc_HOL_Obool), tc_fun(_u16239, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16239, tc_HOL_Obool), tc_fun(tc_fun(_u16239, tc_HOL_Obool), tc_fun(_u16239, tc_HOL_Obool)), _u16237), c_Groups_Ominus__class_Ominus(tc_fun(_u16239, tc_HOL_Obool))), _u16241)), _u16243))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u16249 != c_Orderings_Obot__class_Obot(tc_fun(_u16251, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16251, tc_fun(_u16253, tc_HOL_Obool)), _u16249), hAPP(hAPP(c_COMBC(_u16251, tc_fun(_u16253, tc_HOL_Obool), tc_fun(_u16253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16253, tc_HOL_Obool), tc_fun(tc_fun(_u16253, tc_HOL_Obool), tc_fun(_u16253, tc_HOL_Obool)), _u16251), c_Groups_Ominus__class_Ominus(tc_fun(_u16253, tc_HOL_Obool))), _u16255)), _u16257)) = c_Orderings_Otop__class_Otop(tc_fun(_u16253, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u16250 = c_Orderings_Obot__class_Obot(tc_fun(_u16252, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16252, tc_fun(_u16254, tc_HOL_Obool)), _u16250), hAPP(hAPP(c_COMBC(_u16252, tc_fun(_u16254, tc_HOL_Obool), tc_fun(_u16254, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16254, tc_HOL_Obool), tc_fun(tc_fun(_u16254, tc_HOL_Obool), tc_fun(_u16254, tc_HOL_Obool)), _u16252), c_Groups_Ominus__class_Ominus(tc_fun(_u16254, tc_HOL_Obool))), _u16256)), _u16258)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16254, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16252, tc_fun(_u16254, tc_HOL_Obool)), _u16250), _u16256)), _u16258)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u16264 != c_Orderings_Obot__class_Obot(tc_fun(_u16266, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16268, tc_HOL_Obool)), _u16270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16266, tc_fun(_u16268, tc_HOL_Obool)), _u16264), _u16272)) = _u16270) )).
% 13.05/13.28 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u16265 = c_Orderings_Obot__class_Obot(tc_fun(_u16267, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16269, tc_HOL_Obool)), _u16271), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16267, tc_fun(_u16269, tc_HOL_Obool)), _u16265), _u16273)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16267, tc_fun(_u16269, tc_HOL_Obool)), _u16265), hAPP(hAPP(c_COMBB(tc_fun(_u16269, tc_HOL_Obool), tc_fun(_u16269, tc_HOL_Obool), _u16267), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16269, tc_HOL_Obool)), _u16271)), _u16273))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16274, _u16274)), hAPP(hAPP(c_Product__Type_OPair(_u16274, _u16274), _u16275), _u16276)), c_Transitive__Closure_Ortrancl(_u16274, _u16277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16274, _u16274)), hAPP(hAPP(c_Product__Type_OPair(_u16274, _u16274), _u16276), _u16275)), c_Transitive__Closure_Ortrancl(_u16274, hAPP(c_Relation_Oconverse(_u16274, _u16274), _u16277)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16278, _u16278)), hAPP(hAPP(c_Product__Type_OPair(_u16278, _u16278), _u16279), _u16280)), c_Transitive__Closure_Ortrancl(_u16278, hAPP(c_Relation_Oconverse(_u16278, _u16278), _u16281)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16278, _u16278)), hAPP(hAPP(c_Product__Type_OPair(_u16278, _u16278), _u16280), _u16279)), c_Transitive__Closure_Ortrancl(_u16278, _u16281))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16282, _u16282)), hAPP(hAPP(c_Product__Type_OPair(_u16282, _u16282), _u16283), _u16284)), hAPP(c_Relation_Oconverse(_u16282, _u16282), c_Transitive__Closure_Otrancl(_u16282, _u16285)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16282, _u16282)), hAPP(hAPP(c_Product__Type_OPair(_u16282, _u16282), _u16283), _u16284)), c_Transitive__Closure_Otrancl(_u16282, hAPP(c_Relation_Oconverse(_u16282, _u16282), _u16285)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16286, _u16286)), hAPP(hAPP(c_Product__Type_OPair(_u16286, _u16286), _u16287), _u16288)), c_Transitive__Closure_Otrancl(_u16286, hAPP(c_Relation_Oconverse(_u16286, _u16286), _u16289)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16286, _u16286)), hAPP(hAPP(c_Product__Type_OPair(_u16286, _u16286), _u16287), _u16288)), hAPP(c_Relation_Oconverse(_u16286, _u16286), c_Transitive__Closure_Otrancl(_u16286, _u16289)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16295, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16297, _u16295, _u16299), _u16301)), _u16303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16297, tc_HOL_Obool)), _u16301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16297, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16295, _u16297, hAPP(c_Relation_Oconverse(_u16297, _u16295), _u16299)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16295, tc_HOL_Obool)), _u16303))))) )).
% 13.05/13.28 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16298, tc_HOL_Obool)), _u16302), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16298, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16296, _u16298, hAPP(c_Relation_Oconverse(_u16298, _u16296), _u16300)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16296, tc_HOL_Obool)), _u16304))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16296, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16298, _u16296, _u16300), _u16302)), _u16304)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16305) | ~hBOOL(hAPP(hAPP(c_member(_u16306), _u16307), _u16308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16306, _u16305), _u16308), _u16309)), hAPP(_u16309, _u16307))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u16310, _u16311, _u16312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16310, _u16310), tc_HOL_Obool)), _u16312), hAPP(hAPP(c_Relation_Orel__comp(_u16310, _u16310, _u16310), hAPP(c_Relation_Oconverse(_u16310, _u16310), _u16312)), _u16312))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16313, _u16313, _u16313), hAPP(c_Relation_Oconverse(_u16313, _u16313), _u16314)), _u16314) != _u16314) | ( hAPP(c_Relation_ODomain(_u16313, _u16313), _u16314) != _u16315) | c_Equiv__Relations_Oequiv(_u16313, _u16315, _u16314) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16316, _u16316)), _u16317)) | ~c_Wellfounded_Oacyclic(_u16316, _u16317) | c_Wellfounded_Owf(_u16316, hAPP(c_Relation_Oconverse(_u16316, _u16316), _u16317)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 13.05/13.28 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))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u16323 != c_Orderings_Obot__class_Obot(tc_fun(_u16325, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16325, tc_fun(_u16327, tc_HOL_Obool)), _u16323), hAPP(hAPP(c_COMBB(tc_fun(_u16327, tc_HOL_Obool), tc_fun(_u16327, tc_HOL_Obool), _u16325), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16327, tc_HOL_Obool)), _u16329)), _u16331)) = c_Orderings_Otop__class_Otop(tc_fun(_u16327, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u16324 = c_Orderings_Obot__class_Obot(tc_fun(_u16326, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16326, tc_fun(_u16328, tc_HOL_Obool)), _u16324), hAPP(hAPP(c_COMBB(tc_fun(_u16328, tc_HOL_Obool), tc_fun(_u16328, tc_HOL_Obool), _u16326), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16328, tc_HOL_Obool)), _u16330)), _u16332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16328, tc_HOL_Obool)), _u16330), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16326, tc_fun(_u16328, tc_HOL_Obool)), _u16324), _u16332))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u16333, _u16334), _u16335) = hAPP(c_Set_OCollect(tc_prod(_u16334, _u16333)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16334, _u16333, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16334, tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_fun(_u16333, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16333, tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_fun(_u16333, tc_HOL_Obool)), _u16334), c_COMBC(_u16333, tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16333, tc_prod(_u16333, _u16334)), tc_fun(_u16333, tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool)), _u16334), hAPP(c_COMBB(tc_prod(_u16333, _u16334), tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool), _u16333), c_member(tc_prod(_u16333, _u16334)))), hAPP(c_COMBC(_u16333, _u16334, tc_prod(_u16333, _u16334)), c_Product__Type_OPair(_u16333, _u16334))))), _u16335)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16337), _u16338)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16336), _u16339), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16337, _u16336), _u16338), _u16340)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16337, _u16336, hAPP(hAPP(c_COMBB(_u16336, tc_fun(_u16336, _u16336), _u16337), c_Lattices_Osemilattice__inf__class_Oinf(_u16336)), _u16340)), _u16339), _u16338)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16342, _u16342)), hAPP(hAPP(c_Product__Type_OPair(_u16342, _u16342), hAPP(_u16343, hAPP(c_Nat_OSuc, skolem386(_u16346, _u16345, _u16344, _u16343, _u16342)))), hAPP(_u16343, skolem386(_u16346, _u16345, _u16344, _u16343, _u16342)))), c_Transitive__Closure_Ortrancl(_u16342, _u16344))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16342, _u16342)), hAPP(hAPP(c_Product__Type_OPair(_u16342, _u16342), hAPP(_u16343, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16345), _u16346))), hAPP(_u16343, _u16345))), c_Transitive__Closure_Ortrancl(_u16342, _u16344))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16351, tc_fun(_u16351, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u16351, tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_fun(_u16351, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16351, tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_fun(_u16351, tc_HOL_Obool)), _u16351), c_COMBC(_u16351, tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16351, tc_prod(_u16351, _u16351)), tc_fun(_u16351, tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool)), _u16351), hAPP(c_COMBB(tc_prod(_u16351, _u16351), tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool), _u16351), c_member(tc_prod(_u16351, _u16351)))), c_Product__Type_OPair(_u16351, _u16351)))), _u16353)), c_fequal), _u16355), _u16357)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16351, _u16351)), hAPP(hAPP(c_Product__Type_OPair(_u16351, _u16351), _u16355), _u16357)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool)), _u16353), c_Relation_OId(_u16351)))) )).
% 13.05/13.28 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16352, _u16352)), hAPP(hAPP(c_Product__Type_OPair(_u16352, _u16352), _u16356), _u16358)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool)), _u16354), c_Relation_OId(_u16352)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16352, tc_fun(_u16352, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u16352, tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_fun(_u16352, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16352, tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_fun(_u16352, tc_HOL_Obool)), _u16352), c_COMBC(_u16352, tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16352, tc_prod(_u16352, _u16352)), tc_fun(_u16352, tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool)), _u16352), hAPP(c_COMBB(tc_prod(_u16352, _u16352), tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool), _u16352), c_member(tc_prod(_u16352, _u16352)))), c_Product__Type_OPair(_u16352, _u16352)))), _u16354)), c_fequal), _u16356), _u16358)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_IdI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16359, _u16359)), hAPP(hAPP(c_Product__Type_OPair(_u16359, _u16359), _u16360), _u16360)), c_Relation_OId(_u16359))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16368, tc_fun(_u16370, tc_HOL_Obool)), _u16372), _u16374), _u16376)) | ~hBOOL(hAPP(hAPP(c_member(_u16368), _u16361), _u16372)) | hBOOL(hAPP(hAPP(_u16374, _u16361), _u16376)) )).
% 13.05/13.28 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16369, tc_fun(_u16371, tc_HOL_Obool)), _u16373), _u16375), _u16377)) | hBOOL(hAPP(hAPP(c_member(_u16369), skolem387(_u16377, _u16375, _u16373, _u16371, _u16369)), _u16373)) )).
% 13.05/13.28 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16369, tc_fun(_u16371, tc_HOL_Obool)), _u16373), _u16375), _u16377)) | ~hBOOL(hAPP(hAPP(_u16375, skolem387(_u16377, _u16375, _u16373, _u16371, _u16369)), _u16377)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16387, tc_fun(_u16389, tc_fun(_u16391, tc_HOL_Obool))), _u16393), _u16395), _u16397), _u16399)) | ~hBOOL(hAPP(hAPP(c_member(_u16387), _u16378), _u16393)) | hBOOL(hAPP(hAPP(hAPP(_u16395, _u16378), _u16397), _u16399)) )).
% 13.05/13.28 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16388, tc_fun(_u16390, tc_fun(_u16392, tc_HOL_Obool))), _u16394), _u16396), _u16398), _u16400)) | hBOOL(hAPP(hAPP(c_member(_u16388), skolem388(_u16400, _u16398, _u16396, _u16394, _u16392, _u16390, _u16388)), _u16394)) )).
% 13.05/13.28 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16388, tc_fun(_u16390, tc_fun(_u16392, tc_HOL_Obool))), _u16394), _u16396), _u16398), _u16400)) | ~hBOOL(hAPP(hAPP(hAPP(_u16396, skolem388(_u16400, _u16398, _u16396, _u16394, _u16392, _u16390, _u16388)), _u16398), _u16400)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u16401, _u16401), c_Relation_OId(_u16401)) = c_Relation_OId(_u16401)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u16402, _u16402, c_Relation_OId(_u16402)), _u16403) = _u16403) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16404, _u16405, _u16405), _u16406), c_Relation_OId(_u16405)) = _u16406) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16407, _u16407, _u16408), c_Relation_OId(_u16407)), _u16409) = _u16409) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u16415 = _u16417) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16413, _u16413)), hAPP(hAPP(c_Product__Type_OPair(_u16413, _u16413), _u16415), _u16417)), c_Relation_OId(_u16413))) )).
% 13.05/13.28 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u16416 != _u16418) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16414, _u16414)), hAPP(hAPP(c_Product__Type_OPair(_u16414, _u16414), _u16416), _u16418)), c_Relation_OId(_u16414))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16419, _u16419), c_Relation_OId(_u16419)) = c_Orderings_Otop__class_Otop(tc_fun(_u16419, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u16420, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16420, _u16420), tc_HOL_Obool))) = c_Relation_OId(_u16420)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u16421, _u16421), c_Relation_OId(_u16421)) = c_Orderings_Otop__class_Otop(tc_fun(_u16421, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16422, _u16422), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u16422, _u16423)), c_Relation_OId(_u16422)) = c_Transitive__Closure_Ortrancl(_u16422, _u16423)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u16424, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16424, _u16424), tc_HOL_Obool)), _u16425), c_Relation_OId(_u16424))) = c_Transitive__Closure_Ortrancl(_u16424, _u16425)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u16426, c_Orderings_Otop__class_Otop(tc_fun(_u16426, tc_HOL_Obool)), c_Relation_OId(_u16426)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u16427, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16427, _u16427), tc_HOL_Obool)), _u16428), c_Relation_OId(_u16427))) = c_Transitive__Closure_Ortrancl(_u16427, _u16428)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 13.05/13.28 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)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u16429, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16429, _u16429), tc_HOL_Obool)), _u16430), c_Relation_OId(_u16429))) = c_Transitive__Closure_Ortrancl(_u16429, _u16430)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16431, _u16431), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u16431, _u16432)), c_Relation_OId(_u16431)) = c_Transitive__Closure_Ortrancl(_u16431, _u16432)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u16433, _u16434) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16433, _u16433), tc_HOL_Obool)), c_Relation_OId(_u16433)), hAPP(hAPP(c_Relation_Orel__comp(_u16433, _u16433, _u16433), c_Transitive__Closure_Ortrancl(_u16433, _u16434)), _u16434))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u16435, c_Orderings_Otop__class_Otop(tc_fun(_u16435, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16435, _u16435), tc_HOL_Obool)), _u16436), c_Relation_OId(_u16435))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u16437) = hAPP(c_Set_OCollect(tc_prod(_u16437, _u16437)), hAPP(hAPP(c_COMBB(tc_fun(_u16437, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u16437, _u16437)), c_HOL_OEx(_u16437)), hAPP(hAPP(c_COMBC(tc_prod(_u16437, _u16437), tc_fun(_u16437, tc_prod(_u16437, _u16437)), tc_fun(_u16437, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16437, _u16437), tc_HOL_Obool), tc_fun(tc_fun(_u16437, tc_prod(_u16437, _u16437)), tc_fun(_u16437, tc_HOL_Obool)), tc_prod(_u16437, _u16437)), c_COMBB(tc_prod(_u16437, _u16437), tc_HOL_Obool, _u16437)), c_fequal)), hAPP(hAPP(c_COMBS(_u16437, _u16437, tc_prod(_u16437, _u16437)), c_Product__Type_OPair(_u16437, _u16437)), c_COMBI(_u16437)))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u16438, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16438, _u16438), tc_HOL_Obool)), _u16439), c_Relation_OId(_u16438))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), c_Relation_OId(_u16440)), _u16441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u16440, _u16440, _u16440), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u16440, _u16442)), _u16441)), _u16442)), _u16441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u16440, _u16442)), _u16441)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u16443, _u16444, hAPP(c_Relation_Oconverse(_u16444, _u16443), _u16445)) | ( _u16446 = c_Orderings_Obot__class_Obot(tc_fun(_u16447, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u16444, _u16443, _u16445), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16447, tc_fun(_u16444, tc_HOL_Obool)), _u16446), _u16448)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16447, tc_fun(_u16443, tc_HOL_Obool)), _u16446), hAPP(hAPP(c_COMBB(tc_fun(_u16444, tc_HOL_Obool), tc_fun(_u16443, tc_HOL_Obool), _u16447), c_Relation_OImage(_u16444, _u16443, _u16445)), _u16448))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u16450, _u16451, _u16452, _u16453) | ~hBOOL(hAPP(hAPP(c_member(_u16454), _u16457), _u16455)) | ( hAPP(c_Set_Oimage(_u16450, _u16451, _u16452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16450, tc_HOL_Obool)), _u16455), _u16456)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16451, tc_HOL_Obool)), _u16455), hAPP(hAPP(c_COMBB(tc_fun(_u16450, tc_HOL_Obool), tc_fun(_u16451, tc_HOL_Obool), _u16454), c_Set_Oimage(_u16450, _u16451, _u16452)), _u16456))) | hBOOL(hAPP(hAPP(c_member(_u16454), skolem389(_u16457, _u16456, _u16455, _u16454, _u16453, _u16452, _u16451, _u16450)), _u16455)) )).
% 13.05/13.28 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u16450, _u16451, _u16452, _u16453) | ~hBOOL(hAPP(hAPP(c_member(_u16454), _u16457), _u16455)) | ( hAPP(c_Set_Oimage(_u16450, _u16451, _u16452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16450, tc_HOL_Obool)), _u16455), _u16456)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16451, tc_HOL_Obool)), _u16455), hAPP(hAPP(c_COMBB(tc_fun(_u16450, tc_HOL_Obool), tc_fun(_u16451, tc_HOL_Obool), _u16454), c_Set_Oimage(_u16450, _u16451, _u16452)), _u16456))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16450, tc_HOL_Obool)), hAPP(_u16456, skolem389(_u16457, _u16456, _u16455, _u16454, _u16453, _u16452, _u16451, _u16450))), _u16453)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u16458, _u16458, c_Relation_OId(_u16458)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u16459, _u16460, _u16461) | ~c_Relation_Osingle__valued(_u16460, _u16462, _u16463) | c_Relation_Osingle__valued(_u16459, _u16462, hAPP(hAPP(c_Relation_Orel__comp(_u16459, _u16460, _u16462), _u16461), _u16463)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16464, _u16465), tc_HOL_Obool)), _u16466), _u16467)) | ~c_Relation_Osingle__valued(_u16464, _u16465, _u16467) | c_Relation_Osingle__valued(_u16464, _u16465, _u16466) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u16468, _u16468, c_Relation_OId__on(_u16468, _u16469)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u16479, _u16481, _u16483) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16479, _u16481)), hAPP(hAPP(c_Product__Type_OPair(_u16479, _u16481), _u16472), _u16471)), _u16483)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16479, _u16481)), hAPP(hAPP(c_Product__Type_OPair(_u16479, _u16481), _u16472), _u16470)), _u16483)) | ( _u16471 = _u16470) )).
% 13.05/13.28 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u16480, _u16482, _u16484) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16480, _u16482)), hAPP(hAPP(c_Product__Type_OPair(_u16480, _u16482), skolem390(_u16484, _u16482, _u16480)), skolem391(_u16484, _u16482, _u16480))), _u16484)) )).
% 13.05/13.28 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u16480, _u16482, _u16484) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16480, _u16482)), hAPP(hAPP(c_Product__Type_OPair(_u16480, _u16482), skolem390(_u16484, _u16482, _u16480)), skolem392(_u16484, _u16482, _u16480))), _u16484)) )).
% 13.05/13.28 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u16480, _u16482, _u16484) | ( skolem391(_u16484, _u16482, _u16480) != skolem392(_u16484, _u16482, _u16480)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u16485, _u16486, _u16487) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16485, _u16486)), hAPP(hAPP(c_Product__Type_OPair(_u16485, _u16486), _u16488), _u16489)), _u16487)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16485, _u16486)), hAPP(hAPP(c_Product__Type_OPair(_u16485, _u16486), _u16488), _u16490)), _u16487)) | ( _u16489 = _u16490) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u16491, _u16491, _u16492) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16493), _u16494)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16493), _u16495)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16494), _u16495)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16495), _u16494)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u16496, _u16497, hAPP(c_Relation_Oconverse(_u16497, _u16496), _u16498)) | ( hAPP(c_Relation_OImage(_u16497, _u16496, _u16498), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16497, tc_HOL_Obool)), _u16499), _u16500)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16496, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16497, _u16496, _u16498), _u16499)), hAPP(c_Relation_OImage(_u16497, _u16496, _u16498), _u16500))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u16504, _u16506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16504, _u16504), tc_HOL_Obool)), _u16508), c_Relation_OId(_u16504))) | c_Relation_Ototal__on(_u16504, _u16506, _u16508) )).
% 13.05/13.28 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u16505, _u16507, _u16509) | c_Relation_Ototal__on(_u16505, _u16507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16505, _u16505), tc_HOL_Obool)), _u16509), c_Relation_OId(_u16505))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16510, _u16510)), _u16511), c_Transitive__Closure_Ortrancl(_u16510, _u16512))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16510, _u16510)), _u16511), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16510, _u16510), 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(_u16510, _u16510), tc_HOL_Obool), tc_fun(tc_prod(_u16510, _u16510), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16510, _u16510), tc_HOL_Obool)), _u16512)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16513, _u16513), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16514) = c_Relation_OId(_u16513)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u16515, _u16515, _u16516) | c_Relation_Osingle__valued(_u16515, _u16515, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16515, _u16515), tc_HOL_Obool), _u16517), _u16516)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16518, _u16518)), _u16519), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16518, _u16518), tc_HOL_Obool), _u16520), _u16521))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16518, _u16518)), _u16519), c_Transitive__Closure_Ortrancl(_u16518, _u16521))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16527, _u16527)), _u16529), c_Transitive__Closure_Ortrancl(_u16527, _u16531))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16527, _u16527)), _u16529), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16527, _u16527), tc_HOL_Obool), skolem393(_u16531, _u16529, _u16527)), _u16531))) )).
% 13.05/13.28 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16528, _u16528)), _u16530), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16528, _u16528), tc_HOL_Obool), _u16523), _u16532))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16528, _u16528)), _u16530), c_Transitive__Closure_Ortrancl(_u16528, _u16532))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u16533, _u16534), tc_fun(_u16533, _u16534)), _u16535), c_Fun_Ocomp(_u16534, _u16534, _u16533, _u16536)) = c_Fun_Ocomp(_u16534, _u16534, _u16533, hAPP(hAPP(c_Nat_Ocompow(_u16534, _u16534), _u16535), _u16536))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u16537, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16537, _u16537), tc_HOL_Obool), _u16538), _u16539)) | c_Wellfounded_Owf(_u16537, _u16539) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16540, _u16540), _u16541), hAPP(hAPP(c_Nat_Ocompow(_u16540, _u16540), _u16542), _u16543)) = hAPP(hAPP(c_Nat_Ocompow(_u16540, _u16540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16542), _u16541)), _u16543)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u16544, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16545, _u16545), _u16546), _u16544), _u16547)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16545, _u16545), _u16546), _u16544), hAPP(_u16544, _u16547))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16548, _u16548), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16549)), _u16550) = hAPP(hAPP(c_Relation_Orel__comp(_u16548, _u16548, _u16548), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16548, _u16548), tc_HOL_Obool), _u16549), _u16550)), _u16550)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16551, _u16551, _u16551), _u16552), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16551, _u16551), tc_HOL_Obool), _u16553), _u16552)) = hAPP(hAPP(c_Relation_Orel__comp(_u16551, _u16551, _u16551), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16551, _u16551), tc_HOL_Obool), _u16553), _u16552)), _u16552)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16554, _u16554), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16555), _u16556)), _u16557) = hAPP(hAPP(c_Relation_Orel__comp(_u16554, _u16554, _u16554), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16554, _u16554), tc_HOL_Obool), _u16555), _u16557)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16554, _u16554), tc_HOL_Obool), _u16556), _u16557))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16558, _u16558), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16559) = _u16559) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u16560, c_Orderings_Obot__class_Obot(tc_fun(_u16560, tc_HOL_Obool)), _u16561) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u16565, _u16567, hAPP(c_Relation_Oconverse(_u16565, _u16565), _u16569)) | c_Relation_Ototal__on(_u16565, _u16567, _u16569) )).
% 13.05/13.28 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u16566, _u16568, _u16570) | c_Relation_Ototal__on(_u16566, _u16568, hAPP(c_Relation_Oconverse(_u16566, _u16566), _u16570)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u16572 = _u16573) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16571, _u16571)), hAPP(hAPP(c_Product__Type_OPair(_u16571, _u16571), _u16572), _u16573)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16571, _u16571), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16574))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16575, _u16575)), hAPP(hAPP(c_Product__Type_OPair(_u16575, _u16575), _u16576), _u16576)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16575, _u16575), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16577))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16578, _u16578)), hAPP(hAPP(c_Product__Type_OPair(_u16578, _u16578), _u16579), _u16580)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16578, _u16578), tc_HOL_Obool), _u16581), _u16582))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16578, _u16578)), hAPP(hAPP(c_Product__Type_OPair(_u16578, _u16578), _u16580), _u16583)), _u16582)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16578, _u16578)), hAPP(hAPP(c_Product__Type_OPair(_u16578, _u16578), _u16579), _u16583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16578, _u16578), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16581)), _u16582))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16584, _u16584)), hAPP(hAPP(c_Product__Type_OPair(_u16584, _u16584), _u16585), _u16586)), _u16587)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16584, _u16584)), hAPP(hAPP(c_Product__Type_OPair(_u16584, _u16584), _u16586), _u16588)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16584, _u16584), tc_HOL_Obool), _u16589), _u16587))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16584, _u16584)), hAPP(hAPP(c_Product__Type_OPair(_u16584, _u16584), _u16585), _u16588)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16584, _u16584), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16589)), _u16587))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16590, _u16590), hAPP(c_Nat_OSuc, _u16591)), _u16592) = hAPP(c_Fun_Ocomp(_u16590, _u16590, _u16590, _u16592), hAPP(hAPP(c_Nat_Ocompow(_u16590, _u16590), _u16591), _u16592))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16593, _u16593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16594), _u16595)), _u16596) = hAPP(c_Fun_Ocomp(_u16593, _u16593, _u16593, hAPP(hAPP(c_Nat_Ocompow(_u16593, _u16593), _u16594), _u16596)), hAPP(hAPP(c_Nat_Ocompow(_u16593, _u16593), _u16595), _u16596))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16597, _u16597), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16598) = c_Fun_Oid(_u16597)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16604, _u16604)), _u16606), c_Transitive__Closure_Otrancl(_u16604, _u16608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem394(_u16608, _u16606, _u16604))) )).
% 13.05/13.28 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16604, _u16604)), _u16606), c_Transitive__Closure_Otrancl(_u16604, _u16608))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16604, _u16604)), _u16606), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16604, _u16604), tc_HOL_Obool), skolem394(_u16608, _u16606, _u16604)), _u16608))) )).
% 13.05/13.28 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)), _u16600)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16605, _u16605)), _u16607), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16605, _u16605), tc_HOL_Obool), _u16600), _u16609))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16605, _u16605)), _u16607), c_Transitive__Closure_Otrancl(_u16605, _u16609))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u16617, _u16619, _u16621) | ~hBOOL(hAPP(hAPP(c_member(_u16617), _u16611), _u16619)) | ~hBOOL(hAPP(hAPP(c_member(_u16617), _u16610), _u16619)) | ( _u16611 = _u16610) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16617, _u16617)), hAPP(hAPP(c_Product__Type_OPair(_u16617, _u16617), _u16611), _u16610)), _u16621)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16617, _u16617)), hAPP(hAPP(c_Product__Type_OPair(_u16617, _u16617), _u16610), _u16611)), _u16621)) )).
% 13.05/13.28 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | hBOOL(hAPP(hAPP(c_member(_u16618), skolem395(_u16622, _u16620, _u16618)), _u16620)) )).
% 13.05/13.28 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | hBOOL(hAPP(hAPP(c_member(_u16618), skolem396(_u16622, _u16620, _u16618)), _u16620)) )).
% 13.05/13.28 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | ( skolem395(_u16622, _u16620, _u16618) != skolem396(_u16622, _u16620, _u16618)) )).
% 13.05/13.28 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16618, _u16618)), hAPP(hAPP(c_Product__Type_OPair(_u16618, _u16618), skolem395(_u16622, _u16620, _u16618)), skolem396(_u16622, _u16620, _u16618))), _u16622)) )).
% 13.05/13.28 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16618, _u16618)), hAPP(hAPP(c_Product__Type_OPair(_u16618, _u16618), skolem396(_u16622, _u16620, _u16618)), skolem395(_u16622, _u16620, _u16618))), _u16622)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u16623, _u16624) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16623, _u16623), 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(_u16623, _u16623), tc_HOL_Obool), tc_fun(tc_prod(_u16623, _u16623), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16623, _u16623), tc_HOL_Obool)), _u16624))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u16625) = c_Nat_Ocompow(_u16625, _u16625)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16631 = hAPP(c_Nat_OSuc, skolem398(_u16632, _u16631, _u16630, _u16629, _u16628))) )).
% 13.05/13.28 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628))), _u16632)) )).
% 13.05/13.28 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), skolem398(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16632))) )).
% 13.05/13.28 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16629 = _u16630) | ( _u16631 = hAPP(c_Nat_OSuc, skolem398(_u16632, _u16631, _u16630, _u16629, _u16628))) )).
% 13.05/13.28 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16629 = _u16630) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628))), _u16632)) )).
% 13.05/13.28 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16629 = _u16630) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), skolem398(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16632))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16638 = hAPP(c_Nat_OSuc, skolem400(_u16639, _u16638, _u16637, _u16636, _u16635))) )).
% 13.05/13.28 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), skolem400(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16639))) )).
% 13.05/13.28 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16637)), _u16639)) )).
% 13.05/13.28 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16636 = _u16637) | ( _u16638 = hAPP(c_Nat_OSuc, skolem400(_u16639, _u16638, _u16637, _u16636, _u16635))) )).
% 13.05/13.28 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16636 = _u16637) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), skolem400(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16639))) )).
% 13.05/13.28 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16636 = _u16637) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16637)), _u16639)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16640) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16640), _u16641)) | ( c_Complete__Lattice_OInf__class_OInf(_u16640, _u16641) = hAPP(hAPP(c_Finite__Set_Ofold(_u16640, _u16640, c_Lattices_Osemilattice__inf__class_Oinf(_u16640)), c_Orderings_Otop__class_Otop(_u16640)), _u16641)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16643, tc_HOL_Obool)), _u16642), _u16644)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16643), _u16642)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16643), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16643, tc_HOL_Obool), _u16644))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_InterE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16645), _u16646), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16645, tc_HOL_Obool), _u16647))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16645, tc_HOL_Obool)), _u16648), _u16647)) | hBOOL(hAPP(hAPP(c_member(_u16645), _u16646), _u16648)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_InterD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16649), _u16650), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16649, tc_HOL_Obool), _u16651))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16649, tc_HOL_Obool)), _u16652), _u16651)) | hBOOL(hAPP(hAPP(c_member(_u16649), _u16650), _u16652)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16653, tc_HOL_Obool)), _u16654), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16653, tc_HOL_Obool), _u16655)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16653, tc_HOL_Obool), tc_fun(_u16653, tc_HOL_Obool)), _u16655), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16653, tc_HOL_Obool)), _u16654))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16656, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16656, tc_HOL_Obool)), _u16657), _u16658)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16656, tc_HOL_Obool)), _u16657), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16656, tc_HOL_Obool), _u16658))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16659, tc_HOL_Obool)), _u16660), _u16661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16659, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16659, tc_HOL_Obool), _u16661)), _u16660)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ~class_Orderings_Olinorder(_u16664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), c_Complete__Lattice_OInf__class_OInf(_u16664, _u16665)), _u16666)) | hBOOL(hAPP(hAPP(c_member(_u16664), skolem401(_u16666, _u16665, _u16664)), _u16665)) )).
% 13.05/13.28 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ~class_Orderings_Olinorder(_u16664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), c_Complete__Lattice_OInf__class_OInf(_u16664, _u16665)), _u16666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), skolem401(_u16666, _u16665, _u16664)), _u16666)) )).
% 13.05/13.28 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ~class_Orderings_Olinorder(_u16664) | ~hBOOL(hAPP(hAPP(c_member(_u16664), _u16663), _u16665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), _u16663), _u16666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), c_Complete__Lattice_OInf__class_OInf(_u16664, _u16665)), _u16666)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), c_Complete__Lattice_OInf__class_OInf(_u16669, _u16671))) | ~hBOOL(hAPP(hAPP(c_member(_u16669), _u16667), _u16671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), _u16667)) )).
% 13.05/13.28 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), c_Complete__Lattice_OInf__class_OInf(_u16669, _u16671))) | hBOOL(hAPP(hAPP(c_member(_u16669), skolem402(_u16671, _u16670, _u16669)), _u16671)) )).
% 13.05/13.28 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), c_Complete__Lattice_OInf__class_OInf(_u16669, _u16671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), skolem402(_u16671, _u16670, _u16669))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16672, tc_HOL_Obool), _u16673) = hAPP(c_Set_OCollect(_u16672), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u16672), c_HOL_OAll(tc_fun(_u16672, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), _u16672), hAPP(c_COMBS(tc_fun(_u16672, 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(_u16672, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u16672, tc_HOL_Obool), tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u16672, tc_HOL_Obool))), _u16673)))), c_member(_u16672))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16674, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16674, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16674, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16675, tc_HOL_Obool), tc_HOL_Obool)), _u16676), _u16677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16675, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16675, tc_HOL_Obool), _u16677)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16675, tc_HOL_Obool), _u16676))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16678, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u16678, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16678, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16679) | ~hBOOL(hAPP(hAPP(c_member(_u16679), _u16680), _u16681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16679), c_Complete__Lattice_OInf__class_OInf(_u16679, _u16681)), _u16680)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16682, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u16682, tc_HOL_Obool), tc_HOL_Obool)), _u16683), _u16684)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16682, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16682, tc_HOL_Obool), _u16683)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16682, tc_HOL_Obool), _u16684))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16685) | ( c_Complete__Lattice_OInf__class_OInf(_u16685, hAPP(hAPP(c_Set_Oinsert(_u16685), _u16686), c_Orderings_Obot__class_Obot(tc_fun(_u16685, tc_HOL_Obool)))) = _u16686) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16687) | ( c_Complete__Lattice_OInf__class_OInf(_u16687, c_Orderings_Obot__class_Obot(tc_fun(_u16687, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u16687)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16688) | ( c_Complete__Lattice_OInf__class_OInf(_u16688, c_Orderings_Otop__class_Otop(tc_fun(_u16688, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u16688)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16689) | ( c_Complete__Lattice_OInf__class_OInf(_u16689, hAPP(hAPP(c_Set_Oinsert(_u16689), _u16690), _u16691)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16689), _u16690), c_Complete__Lattice_OInf__class_OInf(_u16689, _u16691))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16692, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16693, tc_fun(_u16692, tc_HOL_Obool), _u16694), _u16695)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16693, tc_fun(_u16692, tc_HOL_Obool)), _u16695), _u16694)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16696, tc_fun(_u16697, tc_HOL_Obool)), _u16698), _u16699) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16697, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16696, tc_fun(_u16697, tc_HOL_Obool), _u16699), _u16698))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16700, tc_HOL_Obool)), _u16701), _u16702) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16700, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16700, tc_HOL_Obool)), _u16701), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16700, tc_HOL_Obool)), _u16702), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16700, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16703, tc_fun(_u16704, tc_HOL_Obool)), _u16705), hAPP(hAPP(c_COMBS(_u16703, tc_fun(_u16704, tc_HOL_Obool), tc_fun(_u16704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16704, tc_HOL_Obool), tc_fun(tc_fun(_u16704, tc_HOL_Obool), tc_fun(_u16704, tc_HOL_Obool)), _u16703), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16704, tc_HOL_Obool))), _u16706)), _u16707)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16704, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16704, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16703, tc_fun(_u16704, tc_HOL_Obool), _u16706), _u16705))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16704, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16703, tc_fun(_u16704, tc_HOL_Obool), _u16707), _u16705)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16708, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16708, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16708, tc_HOL_Obool), _u16709)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16708, tc_HOL_Obool), _u16710))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16708, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u16708, tc_HOL_Obool), tc_HOL_Obool)), _u16709), _u16710)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16711) | ( c_Complete__Lattice_OInf__class_OInf(_u16711, hAPP(hAPP(c_Set_Oinsert(_u16711), _u16712), hAPP(hAPP(c_Set_Oinsert(_u16711), _u16713), c_Orderings_Obot__class_Obot(tc_fun(_u16711, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16711), _u16712), _u16713)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16714) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16714), _u16715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16714), _u16716), c_Complete__Lattice_OInf__class_OInf(_u16714, _u16715)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16714, _u16714, c_Lattices_Osemilattice__inf__class_Oinf(_u16714)), _u16716), _u16715)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16717) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16717), _u16718)) | ( _u16718 = c_Orderings_Obot__class_Obot(tc_fun(_u16717, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16717, _u16718) = c_Complete__Lattice_OInf__class_OInf(_u16717, _u16718)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16719) | ( c_Complete__Lattice_OSup__class_OSup(_u16719, _u16720) = c_Complete__Lattice_OInf__class_OInf(_u16719, hAPP(c_Set_OCollect(_u16719), hAPP(hAPP(c_COMBB(tc_fun(_u16719, tc_HOL_Obool), tc_HOL_Obool, _u16719), c_HOL_OAll(_u16719)), hAPP(hAPP(c_COMBB(tc_fun(_u16719, tc_HOL_Obool), tc_fun(_u16719, tc_HOL_Obool), _u16719), hAPP(c_COMBS(_u16719, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16719), c_fimplies), hAPP(hAPP(c_COMBC(_u16719, tc_fun(_u16719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16719)), _u16720)))), hAPP(c_COMBC(_u16719, _u16719, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u16719))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16721) | ( c_Complete__Lattice_OInf__class_OInf(_u16721, _u16722) = c_Complete__Lattice_OSup__class_OSup(_u16721, hAPP(c_Set_OCollect(_u16721), hAPP(hAPP(c_COMBB(tc_fun(_u16721, tc_HOL_Obool), tc_HOL_Obool, _u16721), c_HOL_OAll(_u16721)), hAPP(hAPP(c_COMBB(tc_fun(_u16721, tc_HOL_Obool), tc_fun(_u16721, tc_HOL_Obool), _u16721), hAPP(c_COMBS(_u16721, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16721), c_fimplies), hAPP(hAPP(c_COMBC(_u16721, tc_fun(_u16721, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16721)), _u16722)))), c_Orderings_Oord__class_Oless__eq(_u16721)))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16723, tc_HOL_Obool)), _u16724), _u16725)) | ~hBOOL(hAPP(hAPP(c_member(_u16723), _u16726), _u16724)) | hBOOL(hAPP(hAPP(c_member(_u16723), _u16726), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16723, tc_HOL_Obool), _u16725))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16727, tc_HOL_Obool), _u16728) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16727, tc_HOL_Obool), tc_fun(_u16727, tc_HOL_Obool)), _u16728), c_COMBI(tc_fun(_u16727, tc_HOL_Obool)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16729, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16729, tc_HOL_Obool), _u16730)), _u16731) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16729, tc_HOL_Obool), tc_fun(_u16729, tc_HOL_Obool)), _u16730), hAPP(hAPP(c_COMBC(tc_fun(_u16729, tc_HOL_Obool), tc_fun(_u16729, tc_HOL_Obool), tc_fun(_u16729, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16729, tc_HOL_Obool))), _u16731))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16732, tc_HOL_Obool)), _u16733), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16732, tc_HOL_Obool), _u16734)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16732, tc_HOL_Obool), tc_fun(_u16732, tc_HOL_Obool)), _u16734), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16732, tc_HOL_Obool)), _u16733))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16735, tc_fun(_u16736, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16735, tc_HOL_Obool), _u16737)), _u16738) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16735, tc_HOL_Obool), tc_fun(_u16736, tc_HOL_Obool)), _u16737), hAPP(hAPP(c_COMBC(tc_fun(_u16735, tc_HOL_Obool), tc_fun(_u16735, tc_fun(_u16736, tc_HOL_Obool)), tc_fun(_u16736, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16735, tc_fun(_u16736, tc_HOL_Obool))), _u16738))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16739, tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool)), _u16741), hAPP(hAPP(c_COMBC(tc_fun(_u16739, tc_HOL_Obool), tc_fun(_u16739, tc_fun(_u16740, tc_HOL_Obool)), tc_fun(_u16740, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16739, tc_fun(_u16740, tc_HOL_Obool))), _u16742)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16739, tc_fun(_u16740, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16739, tc_HOL_Obool), _u16741)), _u16742)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u16743, _u16744), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16743, tc_HOL_Obool), _u16745)), _u16746) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16743, tc_HOL_Obool), tc_fun(tc_prod(_u16743, _u16744), tc_HOL_Obool)), _u16745), hAPP(hAPP(c_COMBC(tc_fun(_u16743, tc_HOL_Obool), tc_fun(_u16743, tc_fun(_u16744, tc_HOL_Obool)), tc_fun(tc_prod(_u16743, _u16744), tc_HOL_Obool)), c_Product__Type_OSigma(_u16743, _u16744)), _u16746))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u16747, _u16748, _u16749), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16747, tc_HOL_Obool), _u16750)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16747, tc_HOL_Obool), tc_fun(_u16748, tc_HOL_Obool)), _u16750), c_Set_Oimage(_u16747, _u16748, _u16749))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u16751, _u16752), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16751, _u16752), tc_HOL_Obool), _u16753)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16751, _u16752), tc_HOL_Obool), tc_fun(_u16752, tc_HOL_Obool)), _u16753), c_Relation_ORange(_u16751, _u16752))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16754, _u16755), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16754, _u16755), tc_HOL_Obool), _u16756)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16754, _u16755), tc_HOL_Obool), tc_fun(_u16754, tc_HOL_Obool)), _u16756), c_Relation_ODomain(_u16754, _u16755))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u16757, _u16758, _u16759), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16758, tc_HOL_Obool), _u16760)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16758, tc_HOL_Obool), tc_fun(_u16757, tc_HOL_Obool)), _u16760), c_Set_Ovimage(_u16757, _u16758, _u16759))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16761, tc_HOL_Obool), tc_fun(_u16762, tc_HOL_Obool)), _u16763), hAPP(hAPP(c_COMBC(tc_fun(_u16761, tc_HOL_Obool), tc_fun(_u16761, tc_fun(_u16762, tc_HOL_Obool)), tc_fun(_u16762, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16761, tc_fun(_u16762, tc_HOL_Obool))), _u16764)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16761, tc_fun(_u16762, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16761, tc_HOL_Obool), _u16763)), _u16764)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16765, tc_fun(_u16766, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16765, tc_HOL_Obool), _u16767)), _u16768) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16765, tc_HOL_Obool), tc_fun(_u16766, tc_HOL_Obool)), _u16767), hAPP(hAPP(c_COMBC(tc_fun(_u16765, tc_HOL_Obool), tc_fun(_u16765, tc_fun(_u16766, tc_HOL_Obool)), tc_fun(_u16766, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16765, tc_fun(_u16766, tc_HOL_Obool))), _u16768))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16769, tc_HOL_Obool), tc_HOL_Obool)), _u16770), hAPP(c_Set_OPow(_u16769), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16769, tc_HOL_Obool), _u16770)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16771), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16771, tc_HOL_Obool), _u16772))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16771, tc_HOL_Obool)), _u16772)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16773, tc_HOL_Obool), tc_HOL_Obool)), _u16774), _u16775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16773, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16773, tc_HOL_Obool), _u16774)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16773, tc_HOL_Obool), _u16775))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16781, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16781, tc_HOL_Obool), _u16783)), _u16785) != c_Orderings_Obot__class_Obot(tc_fun(_u16781, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16781, tc_HOL_Obool)), _u16776), _u16783)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16781, tc_HOL_Obool)), _u16776), _u16785) = c_Orderings_Obot__class_Obot(tc_fun(_u16781, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16782, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16782, tc_HOL_Obool), _u16784)), _u16786) = c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16782, tc_HOL_Obool)), skolem403(_u16786, _u16784, _u16782)), _u16784)) )).
% 13.05/13.28 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16782, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16782, tc_HOL_Obool), _u16784)), _u16786) = c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16782, tc_HOL_Obool)), skolem403(_u16786, _u16784, _u16782)), _u16786) != c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), c_Complete__Lattice_OSup__class_OSup(_u16789, _u16790)), _u16791)) | ~hBOOL(hAPP(hAPP(c_member(_u16789), _u16787), _u16790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), _u16787), _u16791)) )).
% 13.05/13.28 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16789) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), c_Complete__Lattice_OSup__class_OSup(_u16789, _u16790)), _u16791)) | hBOOL(hAPP(hAPP(c_member(_u16789), skolem404(_u16791, _u16790, _u16789)), _u16790)) )).
% 13.05/13.28 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16789) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), c_Complete__Lattice_OSup__class_OSup(_u16789, _u16790)), _u16791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), skolem404(_u16791, _u16790, _u16789)), _u16791)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16792, tc_HOL_Obool)), _u16793), _u16794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16792, tc_HOL_Obool)), _u16793), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16792, tc_HOL_Obool), _u16794))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16795, tc_HOL_Obool), hAPP(c_Set_OPow(_u16795), _u16796)) = _u16796) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16799) | ~class_Orderings_Olinorder(_u16799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), c_Complete__Lattice_OSup__class_OSup(_u16799, _u16801))) | hBOOL(hAPP(hAPP(c_member(_u16799), skolem405(_u16801, _u16800, _u16799)), _u16801)) )).
% 13.05/13.28 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16799) | ~class_Orderings_Olinorder(_u16799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), c_Complete__Lattice_OSup__class_OSup(_u16799, _u16801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), skolem405(_u16801, _u16800, _u16799))) )).
% 13.05/13.28 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16799) | ~class_Orderings_Olinorder(_u16799) | ~hBOOL(hAPP(hAPP(c_member(_u16799), _u16798), _u16801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), _u16798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), c_Complete__Lattice_OSup__class_OSup(_u16799, _u16801))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u16802), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16802, _u16802), tc_HOL_Obool), _u16803)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16802, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u16802, _u16802), tc_HOL_Obool), tc_fun(_u16802, tc_HOL_Obool), c_Relation_OField(_u16802)), _u16803))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16804, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16804, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16804, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u16805, _u16806, _u16807) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16805, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u16805), _u16806), _u16807)) = _u16806) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16808, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u16808, tc_HOL_Obool), tc_HOL_Obool)), _u16809), _u16810)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16808, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16808, tc_HOL_Obool), _u16809)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16808, tc_HOL_Obool), _u16810))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16811, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u16811, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16811, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16812, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16812, tc_HOL_Obool)), _u16813), _u16814)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16812, tc_HOL_Obool)), _u16813), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16812, tc_HOL_Obool), _u16814))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16815, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16816, tc_fun(_u16815, tc_HOL_Obool), _u16817), _u16818)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16816, tc_fun(_u16815, tc_HOL_Obool)), _u16818), _u16817)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16819, tc_fun(_u16820, tc_HOL_Obool)), _u16821), _u16822) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16820, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16819, tc_fun(_u16820, tc_HOL_Obool), _u16822), _u16821))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16823) | ~hBOOL(hAPP(hAPP(c_member(_u16823), _u16824), _u16825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16823), _u16824), c_Complete__Lattice_OSup__class_OSup(_u16823, _u16825))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16826) | ( c_Complete__Lattice_OSup__class_OSup(_u16826, c_Orderings_Obot__class_Obot(tc_fun(_u16826, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u16826)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16827) | ( c_Complete__Lattice_OSup__class_OSup(_u16827, hAPP(hAPP(c_Set_Oinsert(_u16827), _u16828), c_Orderings_Obot__class_Obot(tc_fun(_u16827, tc_HOL_Obool)))) = _u16828) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16829) | ( c_Complete__Lattice_OSup__class_OSup(_u16829, hAPP(hAPP(c_Set_Oinsert(_u16829), _u16830), _u16831)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16829), _u16830), c_Complete__Lattice_OSup__class_OSup(_u16829, _u16831))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16832) | ( c_Complete__Lattice_OSup__class_OSup(_u16832, c_Orderings_Otop__class_Otop(tc_fun(_u16832, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u16832)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16833, tc_HOL_Obool)), _u16834), _u16835) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16833, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16833, tc_HOL_Obool)), _u16834), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16833, tc_HOL_Obool)), _u16835), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16833, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16836, tc_fun(_u16837, tc_HOL_Obool)), _u16838), hAPP(hAPP(c_COMBS(_u16836, tc_fun(_u16837, tc_HOL_Obool), tc_fun(_u16837, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16837, tc_HOL_Obool), tc_fun(tc_fun(_u16837, tc_HOL_Obool), tc_fun(_u16837, tc_HOL_Obool)), _u16836), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16837, tc_HOL_Obool))), _u16839)), _u16840)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16837, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16837, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16836, tc_fun(_u16837, tc_HOL_Obool), _u16839), _u16838))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16837, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16836, tc_fun(_u16837, tc_HOL_Obool), _u16840), _u16838)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16841, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16841, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u16841, tc_HOL_Obool), tc_HOL_Obool)), _u16842), _u16843))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16841, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16841, tc_HOL_Obool), _u16842)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16841, tc_HOL_Obool), _u16843)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16844) | ( c_Complete__Lattice_OSup__class_OSup(_u16844, hAPP(hAPP(c_Set_Oinsert(_u16844), _u16845), hAPP(hAPP(c_Set_Oinsert(_u16844), _u16846), c_Orderings_Obot__class_Obot(tc_fun(_u16844, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16844), _u16845), _u16846)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16847), _u16848)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16847), _u16849), c_Complete__Lattice_OSup__class_OSup(_u16847, _u16848)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16847, _u16847, c_Lattices_Osemilattice__sup__class_Osup(_u16847)), _u16849), _u16848)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16850), _u16851)) | ( _u16851 = c_Orderings_Obot__class_Obot(tc_fun(_u16850, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16850, _u16851) = c_Complete__Lattice_OSup__class_OSup(_u16850, _u16851)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16852), _u16853)) | ( c_Complete__Lattice_OSup__class_OSup(_u16852, _u16853) = hAPP(hAPP(c_Finite__Set_Ofold(_u16852, _u16852, c_Lattices_Osemilattice__sup__class_Osup(_u16852)), c_Orderings_Obot__class_Obot(_u16852)), _u16853)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__on__Inter-1, axiom, ( ( _u16855 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16856, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16856, _u16857, _u16858, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16856, tc_HOL_Obool), _u16855)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16856, tc_HOL_Obool)), skolem406(_u16858, _u16857, _u16856, _u16855)), _u16855)) )).
% 13.05/13.28 cnf(fact_inj__on__Inter-2, axiom, ( ( _u16855 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16856, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16856, _u16857, _u16858, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16856, tc_HOL_Obool), _u16855)) | ~c_Fun_Oinj__on(_u16856, _u16857, _u16858, skolem406(_u16858, _u16857, _u16856, _u16855)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Inter__subset-1, axiom, ( ( _u16861 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16860, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16860, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16860, tc_HOL_Obool), _u16861)), _u16862)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16860, tc_HOL_Obool)), skolem407(_u16862, _u16861, _u16860)), _u16861)) )).
% 13.05/13.28 cnf(fact_Inter__subset-2, axiom, ( ( _u16861 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16860, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16860, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16860, tc_HOL_Obool), _u16861)), _u16862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16860, tc_HOL_Obool)), skolem407(_u16862, _u16861, _u16860)), _u16862)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16863, tc_HOL_Obool), _u16864) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16863, tc_HOL_Obool), tc_fun(_u16863, tc_HOL_Obool)), _u16864), c_COMBI(tc_fun(_u16863, tc_HOL_Obool)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16866, tc_HOL_Obool)), _u16867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16866), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16866, tc_HOL_Obool), _u16867))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16866, tc_HOL_Obool)), skolem408(_u16867, _u16866)), _u16867)) )).
% 13.05/13.28 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16866, tc_HOL_Obool)), _u16867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16866), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16866, tc_HOL_Obool), _u16867))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16866), skolem408(_u16867, _u16866))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), skolem409(_u16872, _u16871, _u16870)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872))) )).
% 13.05/13.28 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), skolem410(_u16872, _u16871, _u16870)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872))) )).
% 13.05/13.28 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | ( skolem409(_u16872, _u16871, _u16870) != skolem410(_u16872, _u16871, _u16870)) )).
% 13.05/13.28 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), skolem409(_u16872, _u16871, _u16870)), skolem410(_u16872, _u16871, _u16870)) != c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.05/13.28 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem413(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.05/13.28 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( skolem412(_u16878, _u16877, _u16876) != skolem413(_u16878, _u16877, _u16876)) )).
% 13.05/13.28 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), skolem413(_u16878, _u16877, _u16876)) != c_Orderings_Obot__class_Obot(tc_fun(_u16876, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.05/13.28 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem413(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.05/13.28 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( skolem412(_u16878, _u16877, _u16876) != skolem413(_u16878, _u16877, _u16876)) )).
% 13.05/13.28 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), skolem413(_u16878, _u16877, _u16876)) != c_Orderings_Obot__class_Obot(tc_fun(_u16876, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__on__INTER-1, axiom, ( ( _u16880 = c_Orderings_Obot__class_Obot(tc_fun(_u16881, tc_HOL_Obool))) | c_Fun_Oinj__on(_u16882, _u16883, _u16884, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16881, tc_fun(_u16882, tc_HOL_Obool)), _u16880), _u16885)) | hBOOL(hAPP(hAPP(c_member(_u16881), skolem414(_u16885, _u16884, _u16883, _u16882, _u16881, _u16880)), _u16880)) )).
% 13.05/13.28 cnf(fact_inj__on__INTER-2, axiom, ( ( _u16880 = c_Orderings_Obot__class_Obot(tc_fun(_u16881, tc_HOL_Obool))) | c_Fun_Oinj__on(_u16882, _u16883, _u16884, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16881, tc_fun(_u16882, tc_HOL_Obool)), _u16880), _u16885)) | ~c_Fun_Oinj__on(_u16882, _u16883, _u16884, hAPP(_u16885, skolem414(_u16885, _u16884, _u16883, _u16882, _u16881, _u16880))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16887, _u16888, _u16889) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16887, _u16888, _u16889, _u16890, hAPP(hAPP(c_Set_Oinsert(_u16887), _u16891), _u16892)), _u16893)) | hBOOL(hAPP(hAPP(c_member(_u16887), _u16891), _u16892)) | ( _u16893 = hAPP(hAPP(_u16889, _u16891), skolem415(_u16893, _u16892, _u16891, _u16890, _u16889, _u16888, _u16887))) )).
% 13.05/13.28 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u16887, _u16888, _u16889) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16887, _u16888, _u16889, _u16890, hAPP(hAPP(c_Set_Oinsert(_u16887), _u16891), _u16892)), _u16893)) | hBOOL(hAPP(hAPP(c_member(_u16887), _u16891), _u16892)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16887, _u16888, _u16889, _u16890, _u16892), skolem415(_u16893, _u16892, _u16891, _u16890, _u16889, _u16888, _u16887))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16895, _u16895)), hAPP(hAPP(c_Product__Type_OPair(_u16895, _u16895), skolem416(_u16896, _u16895)), skolem416(_u16896, _u16895))), c_Transitive__Closure_Otrancl(_u16895, _u16896))) | c_Wellfounded_Oacyclic(_u16895, _u16896) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16899, _u16899), tc_HOL_Obool)), _u16902), _u16903)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), skolem417(_u16903, _u16902, _u16901, _u16900, _u16899))), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) )).
% 13.05/13.28 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16899, _u16899), tc_HOL_Obool)), _u16902), _u16903)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), skolem417(_u16903, _u16902, _u16901, _u16900, _u16899)), skolem418(_u16903, _u16902, _u16901, _u16900, _u16899))), _u16903)) )).
% 13.05/13.28 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16899, _u16899), tc_HOL_Obool)), _u16902), _u16903)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) | ( skolem417(_u16903, _u16902, _u16901, _u16900, _u16899) != skolem418(_u16903, _u16902, _u16901, _u16900, _u16899)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16906, _u16906), tc_HOL_Obool)), _u16909), _u16910)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), skolem419(_u16910, _u16909, _u16908, _u16907, _u16906)), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) )).
% 13.05/13.28 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16906, _u16906), tc_HOL_Obool)), _u16909), _u16910)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), skolem420(_u16910, _u16909, _u16908, _u16907, _u16906)), skolem419(_u16910, _u16909, _u16908, _u16907, _u16906))), _u16910)) )).
% 13.05/13.28 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16906, _u16906), tc_HOL_Obool)), _u16909), _u16910)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) | ( skolem420(_u16910, _u16909, _u16908, _u16907, _u16906) != skolem419(_u16910, _u16909, _u16908, _u16907, _u16906)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), _u16913), _u16914)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16912, _u16912), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16915)), _u16916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), _u16913), skolem421(_u16916, _u16915, _u16914, _u16913, _u16912))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16912, _u16912), tc_HOL_Obool), _u16915), _u16916))) )).
% 13.05/13.28 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), _u16913), _u16914)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16912, _u16912), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16915)), _u16916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), skolem421(_u16916, _u16915, _u16914, _u16913, _u16912)), _u16914)), _u16916)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), _u16919), _u16920)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16918, _u16918), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16921)), _u16922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), _u16919), skolem422(_u16922, _u16921, _u16920, _u16919, _u16918))), _u16922)) )).
% 13.05/13.28 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), _u16919), _u16920)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16918, _u16918), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16921)), _u16922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), skolem422(_u16922, _u16921, _u16920, _u16919, _u16918)), _u16920)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16918, _u16918), tc_HOL_Obool), _u16921), _u16922))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), _u16925), _u16926)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16924, _u16924), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16927)), _u16928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), _u16925), skolem423(_u16928, _u16927, _u16926, _u16925, _u16924))), _u16928)) )).
% 13.05/13.28 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), _u16925), _u16926)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16924, _u16924), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16927)), _u16928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), skolem423(_u16928, _u16927, _u16926, _u16925, _u16924)), _u16926)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16924, _u16924), tc_HOL_Obool), _u16927), _u16928))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), _u16931), _u16932)), c_Transitive__Closure_Otrancl(_u16930, _u16933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), _u16931), skolem424(_u16933, _u16932, _u16931, _u16930))), c_Transitive__Closure_Ortrancl(_u16930, _u16933))) )).
% 13.05/13.28 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), _u16931), _u16932)), c_Transitive__Closure_Otrancl(_u16930, _u16933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), skolem424(_u16933, _u16932, _u16931, _u16930)), _u16932)), _u16933)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), _u16936), _u16937)), c_Transitive__Closure_Otrancl(_u16935, _u16938))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), _u16936), skolem425(_u16938, _u16937, _u16936, _u16935))), _u16938)) )).
% 13.05/13.28 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), _u16936), _u16937)), c_Transitive__Closure_Otrancl(_u16935, _u16938))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), skolem425(_u16938, _u16937, _u16936, _u16935)), _u16937)), c_Transitive__Closure_Ortrancl(_u16935, _u16938))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u16940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), hAPP(hAPP(c_Finite__Set_Ofold(_u16940, _u16940, c_Orderings_Oord__class_Omax(_u16940)), _u16943), _u16941)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16940), _u16942), _u16943))) | hBOOL(hAPP(hAPP(c_member(_u16940), skolem426(_u16943, _u16942, _u16941, _u16940)), _u16941)) )).
% 13.05/13.28 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u16940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), hAPP(hAPP(c_Finite__Set_Ofold(_u16940, _u16940, c_Orderings_Oord__class_Omax(_u16940)), _u16943), _u16941)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16940), _u16942), _u16943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), skolem426(_u16943, _u16942, _u16941, _u16940)), _u16942)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u16945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16945), _u16946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16945), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16945), _u16947), _u16948)), hAPP(hAPP(c_Finite__Set_Ofold(_u16945, _u16945, c_Orderings_Oord__class_Omin(_u16945)), _u16948), _u16946))) | hBOOL(hAPP(hAPP(c_member(_u16945), skolem427(_u16948, _u16947, _u16946, _u16945)), _u16946)) )).
% 13.05/13.28 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u16945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16945), _u16946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16945), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16945), _u16947), _u16948)), hAPP(hAPP(c_Finite__Set_Ofold(_u16945, _u16945, c_Orderings_Oord__class_Omin(_u16945)), _u16948), _u16946))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16945), _u16947), skolem427(_u16948, _u16947, _u16946, _u16945))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_InterI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16950), _u16952), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16951))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16950, tc_HOL_Obool)), skolem428(_u16952, _u16951, _u16950)), _u16951)) )).
% 13.05/13.28 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16950), _u16952), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16951))) | ~hBOOL(hAPP(hAPP(c_member(_u16950), _u16952), skolem428(_u16952, _u16951, _u16950))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u16954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16954), _u16955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16954), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16954), _u16956), _u16957)), hAPP(hAPP(c_Finite__Set_Ofold(_u16954, _u16954, c_Lattices_Osemilattice__inf__class_Oinf(_u16954)), _u16957), _u16955))) | hBOOL(hAPP(hAPP(c_member(_u16954), skolem429(_u16957, _u16956, _u16955, _u16954)), _u16955)) )).
% 13.05/13.28 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u16954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16954), _u16955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16954), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16954), _u16956), _u16957)), hAPP(hAPP(c_Finite__Set_Ofold(_u16954, _u16954, c_Lattices_Osemilattice__inf__class_Oinf(_u16954)), _u16957), _u16955))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16954), _u16956), skolem429(_u16957, _u16956, _u16955, _u16954))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u16959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16959), _u16960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16959), hAPP(hAPP(c_Finite__Set_Ofold(_u16959, _u16959, c_Lattices_Osemilattice__sup__class_Osup(_u16959)), _u16962), _u16960)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16959), _u16961), _u16962))) | hBOOL(hAPP(hAPP(c_member(_u16959), skolem430(_u16962, _u16961, _u16960, _u16959)), _u16960)) )).
% 13.05/13.28 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u16959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16959), _u16960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16959), hAPP(hAPP(c_Finite__Set_Ofold(_u16959, _u16959, c_Lattices_Osemilattice__sup__class_Osup(_u16959)), _u16962), _u16960)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16959), _u16961), _u16962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16959), skolem430(_u16962, _u16961, _u16960, _u16959)), _u16961)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_IdE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16964, _u16964)), _u16965), c_Relation_OId(_u16964))) | ( _u16965 = hAPP(hAPP(c_Product__Type_OPair(_u16964, _u16964), skolem431(_u16965, _u16964)), skolem431(_u16965, _u16964))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u16976, _u16978) | ~hBOOL(hAPP(hAPP(c_member(_u16976), _u16966), _u16969)) | hBOOL(hAPP(hAPP(c_member(_u16976), skolem432(_u16978, _u16976, _u16969)), _u16969)) )).
% 13.05/13.28 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u16976, _u16978) | ~hBOOL(hAPP(hAPP(c_member(_u16976), _u16966), _u16969)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16976, _u16976)), hAPP(hAPP(c_Product__Type_OPair(_u16976, _u16976), _u16967), skolem432(_u16978, _u16976, _u16969))), _u16978)) | ~hBOOL(hAPP(hAPP(c_member(_u16976), _u16967), _u16969)) )).
% 13.05/13.28 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u16977, _u16979) | hBOOL(hAPP(hAPP(c_member(_u16977), skolem434(_u16979, _u16977)), skolem433(_u16979, _u16977))) )).
% 13.05/13.28 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u16977, _u16979) | ~hBOOL(hAPP(hAPP(c_member(_u16977), _u16972), skolem433(_u16979, _u16977))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16977, _u16977)), hAPP(hAPP(c_Product__Type_OPair(_u16977, _u16977), skolem435(_u16979, _u16977, _u16972)), _u16972)), _u16979)) )).
% 13.05/13.28 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u16977, _u16979) | ~hBOOL(hAPP(hAPP(c_member(_u16977), _u16972), skolem433(_u16979, _u16977))) | hBOOL(hAPP(hAPP(c_member(_u16977), skolem435(_u16979, _u16977, _u16972)), skolem433(_u16979, _u16977))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16981), _u16986)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16981), _u16987)) | ( hAPP(_u16985, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16981, tc_HOL_Obool)), _u16986), _u16987)) = hAPP(hAPP(_u16982, hAPP(_u16985, _u16986)), hAPP(_u16985, _u16987))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u16980, _u16981, _u16982, _u16983, _u16984, _u16985) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 13.05/13.28 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)))), _u16989)) = 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)))), _u16990))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem436(_u16990, _u16989))) )).
% 13.05/13.28 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)))), _u16989)) = 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)))), _u16990))) | hBOOL(hAPP(_u16989, skolem436(_u16990, _u16989))) | hBOOL(hAPP(_u16990, skolem436(_u16990, _u16989))) )).
% 13.05/13.28 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)))), _u16989)) = 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)))), _u16990))) | ~hBOOL(hAPP(_u16990, skolem436(_u16990, _u16989))) | ~hBOOL(hAPP(_u16989, skolem436(_u16990, _u16989))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u16993, _u16997), _u16997) = _u16997) | ~c_Finite__Set_Ofolding__image__simple__idem(_u16991, _u16992, _u16993, _u16994, _u16995, _u16996) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16999), _u17004)) | ~hBOOL(hAPP(hAPP(c_member(_u16999), _u17005), _u17004)) | ( hAPP(hAPP(_u17000, hAPP(_u17002, _u17005)), hAPP(_u17003, _u17004)) = hAPP(_u17003, _u17004)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u16998, _u16999, _u17000, _u17001, _u17002, _u17003) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17007), _u17012)) | ( hAPP(_u17011, hAPP(hAPP(c_Set_Oinsert(_u17007), _u17013), _u17012)) = hAPP(hAPP(_u17008, hAPP(_u17010, _u17013)), hAPP(_u17011, _u17012))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17006, _u17007, _u17008, _u17009, _u17010, _u17011) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17015), _u17020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17015, tc_HOL_Obool)), _u17021), _u17020)) | ( hAPP(hAPP(_u17016, hAPP(_u17019, _u17021)), hAPP(_u17019, _u17020)) = hAPP(_u17019, _u17020)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17014, _u17015, _u17016, _u17017, _u17018, _u17019) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), _u17024), _u17025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17024), hAPP(c_Set_OCollect(_u17023), _u17026))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17025), hAPP(c_Set_OCollect(_u17023), _u17027)))) | hBOOL(hAPP(hAPP(c_member(_u17023), skolem437(_u17027, _u17026, _u17025, _u17024, _u17023)), _u17024)) )).
% 13.05/13.28 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), _u17024), _u17025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17024), hAPP(c_Set_OCollect(_u17023), _u17026))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17025), hAPP(c_Set_OCollect(_u17023), _u17027)))) | hBOOL(hAPP(_u17026, skolem437(_u17027, _u17026, _u17025, _u17024, _u17023))) )).
% 13.05/13.28 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), _u17024), _u17025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17024), hAPP(c_Set_OCollect(_u17023), _u17026))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17025), hAPP(c_Set_OCollect(_u17023), _u17027)))) | ~hBOOL(hAPP(_u17027, skolem437(_u17027, _u17026, _u17025, _u17024, _u17023))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17029), _u17030), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17029, tc_HOL_Obool), _u17031))) | hBOOL(hAPP(hAPP(c_member(_u17029), _u17030), skolem438(_u17031, _u17030, _u17029))) )).
% 13.05/13.28 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17029), _u17030), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17029, tc_HOL_Obool), _u17031))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17029, tc_HOL_Obool)), skolem438(_u17031, _u17030, _u17029)), _u17031)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__upd__left ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__upd__left-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17032), _u17033), c_Map_Odom(_u17032, _u17034, _u17035))) | ( c_Map_Omap__add(_u17032, _u17034, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17032, tc_Option_Ooption(_u17034)), _u17036), _u17033), hAPP(c_Option_Ooption_OSome(_u17034), _u17037)), _u17035) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17032, tc_Option_Ooption(_u17034)), c_Map_Omap__add(_u17032, _u17034, _u17036, _u17035)), _u17033), hAPP(c_Option_Ooption_OSome(_u17034), _u17037))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17042)), _u17043), hAPP(hAPP(c_Relation_Orel__comp(_u17041, _u17044, _u17042), _u17045), _u17046))) | ( _u17043 = hAPP(hAPP(c_Product__Type_OPair(_u17041, _u17042), skolem439(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041)), skolem441(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041))) )).
% 13.05/13.28 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17042)), _u17043), hAPP(hAPP(c_Relation_Orel__comp(_u17041, _u17044, _u17042), _u17045), _u17046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17044)), hAPP(hAPP(c_Product__Type_OPair(_u17041, _u17044), skolem439(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041)), skolem440(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041))), _u17045)) )).
% 13.05/13.28 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17042)), _u17043), hAPP(hAPP(c_Relation_Orel__comp(_u17041, _u17044, _u17042), _u17045), _u17046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17044, _u17042)), hAPP(hAPP(c_Product__Type_OPair(_u17044, _u17042), skolem440(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041)), skolem441(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041))), _u17046)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__SomeD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17047, _u17048, _u17049, _u17050), _u17051) != hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17050, _u17051) = hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17050, _u17051) = c_Option_Ooption_ONone(_u17048)) )).
% 13.05/13.28 cnf(fact_map__add__SomeD-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17047, _u17048, _u17049, _u17050), _u17051) != hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17050, _u17051) = hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17049, _u17051) = hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__Some__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__Some__iff-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17059, _u17061, _u17063, _u17065), _u17067) != hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17065, _u17067) = hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17065, _u17067) = c_Option_Ooption_ONone(_u17061)) )).
% 13.05/13.28 cnf(fact_map__add__Some__iff-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17059, _u17061, _u17063, _u17065), _u17067) != hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17065, _u17067) = hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17063, _u17067) = hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) )).
% 13.05/13.28 cnf(fact_map__add__Some__iff-3, axiom, ( ( hAPP(c_Map_Omap__add(_u17060, _u17062, _u17064, _u17066), _u17068) = hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) | ( hAPP(_u17066, _u17068) != hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) )).
% 13.05/13.28 cnf(fact_map__add__Some__iff-4, axiom, ( ( hAPP(c_Map_Omap__add(_u17060, _u17062, _u17064, _u17066), _u17068) = hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) | ( hAPP(_u17066, _u17068) != c_Option_Ooption_ONone(_u17062)) | ( hAPP(_u17064, _u17068) != hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__def-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17071, _u17072, _u17073, _u17074), _u17075) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17072), _u17072, hAPP(_u17073, _u17075), c_Option_Ooption_OSome(_u17072)), hAPP(_u17074, _u17075))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__empty-1, axiom, ( ( c_Map_Omap__add(_u17076, _u17077, _u17078, hAPP(c_COMBK(tc_Option_Ooption(_u17077), _u17076), c_Option_Ooption_ONone(_u17077))) = _u17078) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_empty__map__add ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_empty__map__add-1, axiom, ( ( c_Map_Omap__add(_u17079, _u17080, hAPP(c_COMBK(tc_Option_Ooption(_u17080), _u17079), c_Option_Ooption_ONone(_u17080)), _u17081) = _u17081) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__None ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__None-1, axiom, ( ( hAPP(c_Map_Omap__add(_u17087, _u17089, _u17091, _u17093), _u17095) != c_Option_Ooption_ONone(_u17089)) | ( hAPP(_u17093, _u17095) = c_Option_Ooption_ONone(_u17089)) )).
% 13.05/13.28 cnf(fact_map__add__None-2, axiom, ( ( hAPP(c_Map_Omap__add(_u17087, _u17089, _u17091, _u17093), _u17095) != c_Option_Ooption_ONone(_u17089)) | ( hAPP(_u17091, _u17095) = c_Option_Ooption_ONone(_u17089)) )).
% 13.05/13.28 cnf(fact_map__add__None-3, axiom, ( ( hAPP(_u17094, _u17096) != c_Option_Ooption_ONone(_u17090)) | ( hAPP(_u17092, _u17096) != c_Option_Ooption_ONone(_u17090)) | ( hAPP(c_Map_Omap__add(_u17088, _u17090, _u17092, _u17094), _u17096) = c_Option_Ooption_ONone(_u17090)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__assoc ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__assoc-1, axiom, ( ( c_Map_Omap__add(_u17097, _u17098, _u17099, c_Map_Omap__add(_u17097, _u17098, _u17100, _u17101)) = c_Map_Omap__add(_u17097, _u17098, c_Map_Omap__add(_u17097, _u17098, _u17099, _u17100), _u17101)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__find__right ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__find__right-1, axiom, ( ( hAPP(_u17102, _u17103) != hAPP(c_Option_Ooption_OSome(_u17104), _u17105)) | ( hAPP(c_Map_Omap__add(_u17106, _u17104, _u17107, _u17102), _u17103) = hAPP(c_Option_Ooption_OSome(_u17104), _u17105)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__dom__app__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__dom__app__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17108), _u17109), c_Map_Odom(_u17108, _u17110, _u17111))) | ( hAPP(c_Map_Omap__add(_u17108, _u17110, _u17111, _u17112), _u17109) = hAPP(_u17112, _u17109)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__dom__app__simps_I3_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__dom__app__simps_I3_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17113), _u17114), c_Map_Odom(_u17113, _u17115, _u17116))) | ( hAPP(c_Map_Omap__add(_u17113, _u17115, _u17117, _u17116), _u17114) = hAPP(_u17117, _u17114)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__dom__app__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__dom__app__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17118), _u17119), c_Map_Odom(_u17118, _u17120, _u17121))) | ( hAPP(c_Map_Omap__add(_u17118, _u17120, _u17122, _u17121), _u17119) = hAPP(_u17121, _u17119)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__upd ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__upd-1, axiom, ( ( c_Map_Omap__add(_u17123, _u17124, _u17125, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17123, tc_Option_Ooption(_u17124)), _u17126), _u17127), hAPP(c_Option_Ooption_OSome(_u17124), _u17128))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17123, tc_Option_Ooption(_u17124)), c_Map_Omap__add(_u17123, _u17124, _u17125, _u17126)), _u17127), hAPP(c_Option_Ooption_OSome(_u17124), _u17128))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_dom__map__add ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_dom__map__add-1, axiom, ( ( c_Map_Odom(_u17129, _u17130, c_Map_Omap__add(_u17129, _u17130, _u17131, _u17132)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17129, tc_HOL_Obool)), c_Map_Odom(_u17129, _u17130, _u17132)), c_Map_Odom(_u17129, _u17130, _u17131))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__on__map__add__dom ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__on__map__add__dom-1, axiom, ( ~c_Fun_Oinj__on(_u17137, tc_Option_Ooption(_u17139), c_Map_Omap__add(_u17137, _u17139, _u17141, _u17143), c_Map_Odom(_u17137, _u17139, _u17143)) | c_Fun_Oinj__on(_u17137, tc_Option_Ooption(_u17139), _u17143, c_Map_Odom(_u17137, _u17139, _u17143)) )).
% 13.05/13.28 cnf(fact_inj__on__map__add__dom-2, axiom, ( ~c_Fun_Oinj__on(_u17138, tc_Option_Ooption(_u17140), _u17144, c_Map_Odom(_u17138, _u17140, _u17144)) | c_Fun_Oinj__on(_u17138, tc_Option_Ooption(_u17140), c_Map_Omap__add(_u17138, _u17140, _u17142, _u17144), c_Map_Odom(_u17138, _u17140, _u17144)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__comm ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__comm-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17145, tc_HOL_Obool)), c_Map_Odom(_u17145, _u17146, _u17147)), c_Map_Odom(_u17145, _u17146, _u17148)) != c_Orderings_Obot__class_Obot(tc_fun(_u17145, tc_HOL_Obool))) | ( c_Map_Omap__add(_u17145, _u17146, _u17147, _u17148) = c_Map_Omap__add(_u17145, _u17146, _u17148, _u17147)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__range__map__of__map__add ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__range__map__of__map__add-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17149)), hAPP(c_Set_Oimage(_u17150, tc_Option_Ooption(_u17149), _u17151), c_Orderings_Otop__class_Otop(tc_fun(_u17150, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17149)), hAPP(c_Set_Oimage(_u17150, tc_Option_Ooption(_u17149), c_Map_Omap__add(_u17150, _u17149, _u17151, c_Map_Omap__of(_u17150, _u17149, _u17152))), c_Orderings_Otop__class_Otop(tc_fun(_u17150, tc_HOL_Obool))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_converseE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17155, _u17156)), _u17157), hAPP(c_Relation_Oconverse(_u17156, _u17155), _u17158))) | ( _u17157 = hAPP(hAPP(c_Product__Type_OPair(_u17155, _u17156), skolem443(_u17158, _u17157, _u17156, _u17155)), skolem442(_u17158, _u17157, _u17156, _u17155))) )).
% 13.05/13.28 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17155, _u17156)), _u17157), hAPP(c_Relation_Oconverse(_u17156, _u17155), _u17158))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17156, _u17155)), hAPP(hAPP(c_Product__Type_OPair(_u17156, _u17155), skolem442(_u17158, _u17157, _u17156, _u17155)), skolem443(_u17158, _u17157, _u17156, _u17155))), _u17158)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__dom__map__of ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__dom__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17159), c_Map_Odom(_u17159, _u17160, c_Map_Omap__of(_u17159, _u17160, _u17161)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__range__map__of ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__range__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17162)), hAPP(c_Set_Oimage(_u17163, tc_Option_Ooption(_u17162), c_Map_Omap__of(_u17163, _u17162, _u17164)), c_Orderings_Otop__class_Otop(tc_fun(_u17163, tc_HOL_Obool))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__add__map__of__foldr ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__add__map__of__foldr-1, axiom, ( ( c_Map_Omap__add(_u17165, _u17166, _u17167, c_Map_Omap__of(_u17165, _u17166, _u17168)) = c_List_Ofoldr(tc_prod(_u17165, _u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17165, _u17166, tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), hAPP(hAPP(c_COMBC(_u17165, tc_fun(_u17166, tc_Option_Ooption(_u17166)), tc_fun(_u17166, tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17166), tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), tc_fun(tc_fun(_u17166, tc_Option_Ooption(_u17166)), tc_fun(_u17166, tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166))))), _u17165), c_COMBB(tc_Option_Ooption(_u17166), tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166))), _u17166)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(tc_Option_Ooption(_u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), tc_fun(tc_Option_Ooption(_u17166), tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), _u17165), c_COMBC(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_Option_Ooption(_u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), hAPP(c_COMBC(tc_fun(_u17165, tc_Option_Ooption(_u17166)), _u17165, tc_fun(tc_Option_Ooption(_u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), c_Fun_Ofun__upd(_u17165, tc_Option_Ooption(_u17166)))))), c_Option_Ooption_OSome(_u17166))), _u17168, _u17167)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_ ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_-1, axiom, ( ( c_Smallcheck_Oorelse(_u17169, _u17170, _u17171) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17169), _u17169, _u17171, c_Option_Ooption_OSome(_u17169)), _u17170)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_full__small__int__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_full__small__int__def-1, axiom, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u17172, _u17173) = c_Smallcheck_Ofull__small_H(_u17172, hAPP(c_Code__Numeral_Oint__of, _u17173), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17173)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_small_H_Osimps ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_small_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17177), _u17179)) | ( c_Smallcheck_Osmall_H(_u17181, _u17177, _u17179) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 13.05/13.28 cnf(fact_small_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17178), _u17180)) | ( c_Smallcheck_Osmall_H(_u17182, _u17178, _u17180) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u17182, _u17178, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17180), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17182, _u17180))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_small_H_Opsimps ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_small_H_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17183), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17184), _u17185)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17184), _u17185)) | ( c_Smallcheck_Osmall_H(_u17183, _u17184, _u17185) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 13.05/13.28 cnf(fact_small_H_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17183), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17184), _u17185)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17184), _u17185)) | ( c_Smallcheck_Osmall_H(_u17183, _u17184, _u17185) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u17183, _u17184, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17185), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17183, _u17185))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_small__int__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_small__int__def-1, axiom, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u17186), _u17187) = c_Smallcheck_Osmall_H(_u17186, hAPP(c_Code__Numeral_Oint__of, _u17187), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17187)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_small__prod__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_small__prod__def-1, axiom, ( ~class_Smallcheck_Osmall(_u17188) | ~class_Smallcheck_Osmall(_u17189) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u17189, _u17188)), _u17190), _u17191) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u17189), hAPP(hAPP(c_COMBC(_u17189, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u17188, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17189), c_Smallcheck_Osmall__class_Osmall(_u17188)), hAPP(hAPP(c_COMBB(tc_fun(_u17188, tc_prod(_u17189, _u17188)), tc_fun(_u17188, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17189), hAPP(c_COMBB(tc_prod(_u17189, _u17188), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u17188), _u17190)), c_Product__Type_OPair(_u17189, _u17188)))), _u17191)), _u17191)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_small_H_Opinduct ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_small_H_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17195), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17196), _u17197)))) | hBOOL(hAPP(hAPP(hAPP(_u17198, _u17195), _u17196), _u17197)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), skolem444(_u17198, _u17197, _u17196, _u17195)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem445(_u17198, _u17197, _u17196, _u17195)), skolem446(_u17198, _u17197, _u17196, _u17195))))) )).
% 13.05/13.28 cnf(fact_small_H_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17195), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17196), _u17197)))) | hBOOL(hAPP(hAPP(hAPP(_u17198, _u17195), _u17196), _u17197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem445(_u17198, _u17197, _u17196, _u17195)), skolem446(_u17198, _u17197, _u17196, _u17195))) | ( hAPP(skolem444(_u17198, _u17197, _u17196, _u17195), skolem446(_u17198, _u17197, _u17196, _u17195)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u17198, skolem444(_u17198, _u17197, _u17196, _u17195)), skolem445(_u17198, _u17197, _u17196, _u17195)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem446(_u17198, _u17197, _u17196, _u17195)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.05/13.28 cnf(fact_small_H_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17195), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17196), _u17197)))) | hBOOL(hAPP(hAPP(hAPP(_u17198, _u17195), _u17196), _u17197)) | ~hBOOL(hAPP(hAPP(hAPP(_u17198, skolem444(_u17198, _u17197, _u17196, _u17195)), skolem445(_u17198, _u17197, _u17196, _u17195)), skolem446(_u17198, _u17197, _u17196, _u17195))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_body__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_body__def-1, axiom, ( ( c_Com_Obody = c_Map_Omap__of(tc_Com_Opname, tc_Com_Ocom, c_Com_Obodies)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__mapk__SomeI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__mapk__SomeI-1, axiom, ( ~c_Fun_Oinj__on(_u17199, _u17200, _u17201, c_Orderings_Otop__class_Otop(tc_fun(_u17199, tc_HOL_Obool))) | ( hAPP(c_Map_Omap__of(_u17199, _u17202, _u17203), _u17204) != hAPP(c_Option_Ooption_OSome(_u17202), _u17205)) | ( hAPP(c_Map_Omap__of(_u17200, _u17202, hAPP(hAPP(c_List_Omap(tc_prod(_u17199, _u17202), tc_prod(_u17200, _u17202)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17199, _u17202, tc_prod(_u17200, _u17202)), hAPP(hAPP(c_COMBB(_u17200, tc_fun(_u17202, tc_prod(_u17200, _u17202)), _u17199), c_Product__Type_OPair(_u17200, _u17202)), _u17201))), _u17203)), hAPP(_u17201, _u17204)) = hAPP(c_Option_Ooption_OSome(_u17202), _u17205)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__def-1, axiom, ( ( c_Map_Omap__comp(_u17206, _u17207, _u17208, _u17209, _u17210, _u17211) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17207), _u17206, c_Option_Ooption_ONone(_u17207), _u17209), hAPP(_u17210, _u17211))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17212, _u17213, _u17214, c_Orderings_Otop__class_Otop(tc_fun(_u17212, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17212), tc_List_Olist(_u17213), hAPP(c_List_Omap(_u17212, _u17213), _u17214), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17212), tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__simps_I1_J-1, axiom, ( ( hAPP(_u17215, _u17216) != c_Option_Ooption_ONone(_u17217)) | ( c_Map_Omap__comp(_u17217, _u17218, _u17219, _u17220, _u17215, _u17216) = c_Option_Ooption_ONone(_u17218)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__Some__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__Some__iff-1, axiom, ( ( c_Map_Omap__comp(_u17230, _u17232, _u17234, _u17236, _u17238, _u17240) != hAPP(c_Option_Ooption_OSome(_u17232), _u17242)) | ( hAPP(_u17238, _u17240) = hAPP(c_Option_Ooption_OSome(_u17230), skolem447(_u17242, _u17240, _u17238, _u17236, _u17234, _u17232, _u17230))) )).
% 13.05/13.28 cnf(fact_map__comp__Some__iff-2, axiom, ( ( c_Map_Omap__comp(_u17230, _u17232, _u17234, _u17236, _u17238, _u17240) != hAPP(c_Option_Ooption_OSome(_u17232), _u17242)) | ( hAPP(_u17236, skolem447(_u17242, _u17240, _u17238, _u17236, _u17234, _u17232, _u17230)) = hAPP(c_Option_Ooption_OSome(_u17232), _u17242)) )).
% 13.05/13.28 cnf(fact_map__comp__Some__iff-3, axiom, ( ( hAPP(_u17239, _u17241) != hAPP(c_Option_Ooption_OSome(_u17231), _u17222)) | ( hAPP(_u17237, _u17222) != hAPP(c_Option_Ooption_OSome(_u17233), _u17243)) | ( c_Map_Omap__comp(_u17231, _u17233, _u17235, _u17237, _u17239, _u17241) = hAPP(c_Option_Ooption_OSome(_u17233), _u17243)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__simps_I2_J-1, axiom, ( ( hAPP(_u17244, _u17245) != hAPP(c_Option_Ooption_OSome(_u17246), _u17247)) | ( c_Map_Omap__comp(_u17246, _u17248, _u17249, _u17250, _u17244, _u17245) = hAPP(_u17250, _u17247)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17251, _u17252), _u17253), _u17254) != hAPP(hAPP(c_List_Omap(_u17251, _u17252), _u17253), _u17255)) | ~c_Fun_Oinj__on(_u17251, _u17252, _u17253, c_Orderings_Otop__class_Otop(tc_fun(_u17251, tc_HOL_Obool))) | ( _u17254 = _u17255) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17256), tc_List_Olist(_u17257), hAPP(c_List_Omap(_u17256, _u17257), _u17258), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17256), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17256, _u17257, _u17258, c_Orderings_Otop__class_Otop(tc_fun(_u17256, tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17259, _u17260, _u17261, c_Orderings_Otop__class_Otop(tc_fun(_u17259, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17262) != hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17263)) | ( _u17262 = _u17263) )).
% 13.05/13.28 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17259, _u17260, _u17261, c_Orderings_Otop__class_Otop(tc_fun(_u17259, tc_HOL_Obool))) | ( _u17262 != _u17263) | ( hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17262) = hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17263)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17267), tc_List_Olist(_u17269), hAPP(c_List_Omap(_u17267, _u17269), _u17271), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17267), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17267, _u17269, _u17271, c_Orderings_Otop__class_Otop(tc_fun(_u17267, tc_HOL_Obool))) )).
% 13.05/13.28 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17268, _u17270, _u17272, c_Orderings_Otop__class_Otop(tc_fun(_u17268, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17268), tc_List_Olist(_u17270), hAPP(c_List_Omap(_u17268, _u17270), _u17272), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17268), tc_HOL_Obool))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17273, _u17273), c_COMBI(_u17273)), _u17274) = _u17274) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u17275, _u17275), c_COMBI(_u17275)) = c_Fun_Oid(tc_List_Olist(_u17275))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u17276, _u17276), c_Fun_Oid(_u17276)) = c_Fun_Oid(tc_List_Olist(_u17276))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17277, _u17278), _u17279), hAPP(hAPP(c_List_Omap(_u17280, _u17277), _u17281), _u17282)) = hAPP(hAPP(c_List_Omap(_u17280, _u17278), hAPP(c_Fun_Ocomp(_u17277, _u17278, _u17280, _u17279), _u17281)), _u17282)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17283, _u17284), _u17285), hAPP(hAPP(c_List_Omap(_u17286, _u17283), _u17287), _u17288)) = hAPP(hAPP(c_List_Omap(_u17286, _u17284), hAPP(c_Fun_Ocomp(_u17283, _u17284, _u17286, _u17285), _u17287)), _u17288)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17289), tc_List_Olist(_u17290), tc_List_Olist(_u17291), hAPP(c_List_Omap(_u17289, _u17290), _u17292)), hAPP(c_List_Omap(_u17291, _u17289), _u17293)) = hAPP(c_List_Omap(_u17291, _u17290), hAPP(c_Fun_Ocomp(_u17289, _u17290, _u17291, _u17292), _u17293))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17294), tc_List_Olist(_u17295), tc_List_Olist(_u17296), hAPP(c_List_Omap(_u17294, _u17295), _u17297)), hAPP(c_List_Omap(_u17296, _u17294), _u17298)) = hAPP(c_List_Omap(_u17296, _u17295), hAPP(c_Fun_Ocomp(_u17294, _u17295, _u17296, _u17297), _u17298))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u17299, _u17300, _u17301, hAPP(hAPP(c_List_Omap(_u17302, _u17299), _u17303), _u17304), _u17305) = c_List_Ofoldr(_u17302, _u17300, hAPP(c_Fun_Ocomp(_u17299, tc_fun(_u17300, _u17300), _u17302, _u17301), _u17303), _u17304, _u17305)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__empty_I1_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__empty_I1_J-1, axiom, ( ( c_Map_Omap__comp(_u17306, _u17307, _u17308, _u17309, hAPP(c_COMBK(tc_Option_Ooption(_u17306), _u17308), c_Option_Ooption_ONone(_u17306)), _u17310) = c_Option_Ooption_ONone(_u17307)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__empty_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__empty_I2_J-1, axiom, ( ( c_Map_Omap__comp(_u17311, _u17312, _u17313, hAPP(c_COMBK(tc_Option_Ooption(_u17312), _u17311), c_Option_Ooption_ONone(_u17312)), _u17314, _u17315) = c_Option_Ooption_ONone(_u17312)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__comp__None__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__comp__None__iff-1, axiom, ( ( c_Map_Omap__comp(_u17324, _u17326, _u17328, _u17330, _u17332, _u17334) != c_Option_Ooption_ONone(_u17326)) | ( hAPP(_u17332, _u17334) = c_Option_Ooption_ONone(_u17324)) | ( hAPP(_u17332, _u17334) = hAPP(c_Option_Ooption_OSome(_u17324), skolem448(_u17334, _u17332, _u17330, _u17328, _u17326, _u17324))) )).
% 13.05/13.28 cnf(fact_map__comp__None__iff-2, axiom, ( ( c_Map_Omap__comp(_u17324, _u17326, _u17328, _u17330, _u17332, _u17334) != c_Option_Ooption_ONone(_u17326)) | ( hAPP(_u17332, _u17334) = c_Option_Ooption_ONone(_u17324)) | ( hAPP(_u17330, skolem448(_u17334, _u17332, _u17330, _u17328, _u17326, _u17324)) = c_Option_Ooption_ONone(_u17326)) )).
% 13.05/13.28 cnf(fact_map__comp__None__iff-3, axiom, ( ( c_Map_Omap__comp(_u17325, _u17327, _u17329, _u17331, _u17333, _u17335) = c_Option_Ooption_ONone(_u17327)) | ( hAPP(_u17333, _u17335) != c_Option_Ooption_ONone(_u17325)) )).
% 13.05/13.28 cnf(fact_map__comp__None__iff-4, axiom, ( ( c_Map_Omap__comp(_u17325, _u17327, _u17329, _u17331, _u17333, _u17335) = c_Option_Ooption_ONone(_u17327)) | ( hAPP(_u17333, _u17335) != hAPP(c_Option_Ooption_OSome(_u17325), _u17317)) | ( hAPP(_u17331, _u17317) != c_Option_Ooption_ONone(_u17327)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__map-1, axiom, ( ( c_Map_Omap__of(_u17336, _u17337, hAPP(hAPP(c_List_Omap(tc_prod(_u17336, _u17338), tc_prod(_u17336, _u17337)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17336, _u17338, tc_prod(_u17336, _u17337)), hAPP(hAPP(c_COMBC(_u17336, tc_fun(_u17338, _u17337), tc_fun(_u17338, tc_prod(_u17336, _u17337))), hAPP(hAPP(c_COMBB(tc_fun(_u17337, tc_prod(_u17336, _u17337)), tc_fun(tc_fun(_u17338, _u17337), tc_fun(_u17338, tc_prod(_u17336, _u17337))), _u17336), c_COMBB(_u17337, tc_prod(_u17336, _u17337), _u17338)), c_Product__Type_OPair(_u17336, _u17337))), _u17339))), _u17340)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17338), tc_Option_Ooption(_u17337), _u17336, hAPP(c_Option_Omap(_u17338, _u17337), _u17339)), c_Map_Omap__of(_u17336, _u17338, _u17340))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__map__keys ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__map__keys-1, axiom, ( ( hAPP(c_List_Oset(_u17341), _u17342) != c_Map_Odom(_u17341, _u17343, _u17344)) | ( c_Map_Omap__of(_u17341, _u17343, hAPP(hAPP(c_List_Omap(_u17341, tc_prod(_u17341, _u17343)), hAPP(hAPP(c_COMBS(_u17341, _u17343, tc_prod(_u17341, _u17343)), c_Product__Type_OPair(_u17341, _u17343)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17343), _u17343, _u17341), c_Option_Othe(_u17343)), _u17344))), _u17342)) = _u17344) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17345), hAPP(c_List_Oset(_u17345), _u17346))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u17347), hAPP(hAPP(c_List_Omap(_u17348, _u17347), _u17349), _u17350)) = hAPP(c_Set_Oimage(_u17348, _u17347, _u17349), hAPP(c_List_Oset(_u17348), _u17350))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17358, _u17360), _u17362), _u17364) != hAPP(hAPP(c_List_Omap(_u17358, _u17360), _u17366), _u17364)) | ~hBOOL(hAPP(hAPP(c_member(_u17358), _u17351), hAPP(c_List_Oset(_u17358), _u17364))) | ( hAPP(_u17362, _u17351) = hAPP(_u17366, _u17351)) )).
% 13.05/13.28 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17363), _u17365) = hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17367), _u17365)) | hBOOL(hAPP(hAPP(c_member(_u17359), skolem449(_u17367, _u17365, _u17363, _u17361, _u17359)), hAPP(c_List_Oset(_u17359), _u17365))) )).
% 13.05/13.28 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17363), _u17365) = hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17367), _u17365)) | ( hAPP(_u17363, skolem449(_u17367, _u17365, _u17363, _u17361, _u17359)) != hAPP(_u17367, skolem449(_u17367, _u17365, _u17363, _u17361, _u17359))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Option_Omap_Ocomp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Option_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17368), tc_Option_Ooption(_u17369), tc_Option_Ooption(_u17370), hAPP(c_Option_Omap(_u17368, _u17369), _u17371)), hAPP(c_Option_Omap(_u17370, _u17368), _u17372)) = hAPP(c_Option_Omap(_u17370, _u17369), hAPP(c_Fun_Ocomp(_u17368, _u17369, _u17370, _u17371), _u17372))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Option_Omap_Ocompositionality ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Option_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17373, _u17374), _u17375), hAPP(hAPP(c_Option_Omap(_u17376, _u17373), _u17377), _u17378)) = hAPP(hAPP(c_Option_Omap(_u17376, _u17374), hAPP(c_Fun_Ocomp(_u17373, _u17374, _u17376, _u17375), _u17377)), _u17378)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_option__map__comp ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_option__map__comp-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17379, _u17380), _u17381), hAPP(hAPP(c_Option_Omap(_u17382, _u17379), _u17383), _u17384)) = hAPP(hAPP(c_Option_Omap(_u17382, _u17380), hAPP(c_Fun_Ocomp(_u17379, _u17380, _u17382, _u17381), _u17383)), _u17384)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Option_Omap_Oidentity ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Option_Omap_Oidentity-1, axiom, ( ( hAPP(c_Option_Omap(_u17385, _u17385), c_COMBI(_u17385)) = c_Fun_Oid(tc_Option_Ooption(_u17385))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Option_Omap_Oid ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Option_Omap_Oid-1, axiom, ( ( hAPP(c_Option_Omap(_u17386, _u17386), c_Fun_Oid(_u17386)) = c_Fun_Oid(tc_Option_Ooption(_u17386))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17387)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17387), tc_HOL_Obool)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_dom__option__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_dom__option__map-1, axiom, ( ( c_Map_Odom(_u17388, _u17389, hAPP(hAPP(c_COMBS(_u17388, tc_Option_Ooption(_u17390), tc_Option_Ooption(_u17389)), hAPP(hAPP(c_COMBB(tc_fun(_u17390, _u17389), tc_fun(tc_Option_Ooption(_u17390), tc_Option_Ooption(_u17389)), _u17388), c_Option_Omap(_u17390, _u17389)), _u17391)), _u17392)) = c_Map_Odom(_u17388, _u17390, _u17392)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_option__map__Some ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_option__map__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17393, _u17394), _u17395), hAPP(c_Option_Ooption_OSome(_u17393), _u17396)) = hAPP(c_Option_Ooption_OSome(_u17394), hAPP(_u17395, _u17396))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_option__map__eq__Some ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_option__map__eq__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17404, _u17406), _u17408), _u17410) != hAPP(c_Option_Ooption_OSome(_u17406), _u17412)) | ( _u17410 = hAPP(c_Option_Ooption_OSome(_u17404), skolem450(_u17412, _u17410, _u17408, _u17406, _u17404))) )).
% 13.05/13.28 cnf(fact_option__map__eq__Some-2, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17404, _u17406), _u17408), _u17410) != hAPP(c_Option_Ooption_OSome(_u17406), _u17412)) | ( hAPP(_u17408, skolem450(_u17412, _u17410, _u17408, _u17406, _u17404)) = _u17412) )).
% 13.05/13.28 cnf(fact_option__map__eq__Some-3, axiom, ( ( _u17411 != hAPP(c_Option_Ooption_OSome(_u17405), _u17398)) | ( hAPP(_u17409, _u17398) != _u17413) | ( hAPP(hAPP(c_Option_Omap(_u17405, _u17407), _u17409), _u17411) = hAPP(c_Option_Ooption_OSome(_u17407), _u17413)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_option__map__None ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_option__map__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17414, _u17415), _u17416), c_Option_Ooption_ONone(_u17414)) = c_Option_Ooption_ONone(_u17415)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_option__map__is__None ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_option__map__is__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u17421, _u17423), _u17425), _u17427) != c_Option_Ooption_ONone(_u17423)) | ( _u17427 = c_Option_Ooption_ONone(_u17421)) )).
% 13.05/13.28 cnf(fact_option__map__is__None-2, axiom, ( ( _u17428 != c_Option_Ooption_ONone(_u17422)) | ( hAPP(hAPP(c_Option_Omap(_u17422, _u17424), _u17426), _u17428) = c_Option_Ooption_ONone(_u17424)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_option__map__o__empty ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_option__map__o__empty-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17429), tc_Option_Ooption(_u17430), _u17431, hAPP(c_Option_Omap(_u17429, _u17430), _u17432)), hAPP(c_COMBK(tc_Option_Ooption(_u17429), _u17431), c_Option_Ooption_ONone(_u17429))), _u17433) = c_Option_Ooption_ONone(_u17430)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_option__map__o__map__upd ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_option__map__o__map__upd-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17434), tc_Option_Ooption(_u17435), _u17436, hAPP(c_Option_Omap(_u17434, _u17435), _u17437)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17436, tc_Option_Ooption(_u17434)), _u17438), _u17439), hAPP(c_Option_Ooption_OSome(_u17434), _u17440))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17436, tc_Option_Ooption(_u17435)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17434), tc_Option_Ooption(_u17435), _u17436, hAPP(c_Option_Omap(_u17434, _u17435), _u17437)), _u17438)), _u17439), hAPP(c_Option_Ooption_OSome(_u17435), hAPP(_u17437, _u17440)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17441, _u17442), _u17443), _u17444) != hAPP(hAPP(c_List_Omap(_u17441, _u17442), _u17443), _u17445)) | ~c_Fun_Oinj__on(_u17441, _u17442, _u17443, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17441, tc_HOL_Obool)), hAPP(c_List_Oset(_u17441), _u17444)), hAPP(c_List_Oset(_u17441), _u17445))) | ( _u17444 = _u17445) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17446, _u17447, _u17448, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17446, tc_HOL_Obool)), hAPP(c_List_Oset(_u17446), _u17449)), hAPP(c_List_Oset(_u17446), _u17450))) | ( hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17449) != hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17450)) | ( _u17449 = _u17450) )).
% 13.05/13.28 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17446, _u17447, _u17448, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17446, tc_HOL_Obool)), hAPP(c_List_Oset(_u17446), _u17449)), hAPP(c_List_Oset(_u17446), _u17450))) | ( _u17449 != _u17450) | ( hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17449) = hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17450)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17451), _u17452), hAPP(c_List_Oset(_u17451), _u17453))) | ( hAPP(hAPP(c_List_Omap(_u17451, _u17454), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17451, _u17454), _u17455), _u17452), _u17456)), _u17453) = hAPP(hAPP(c_List_Omap(_u17451, _u17454), _u17455), _u17453)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17457, _u17458, _u17459, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17457, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17457), tc_fun(_u17457, tc_HOL_Obool), c_List_Oset(_u17457)), _u17460))) | c_Fun_Oinj__on(tc_List_Olist(_u17457), tc_List_Olist(_u17458), hAPP(c_List_Omap(_u17457, _u17458), _u17459), _u17460) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__eq__dom ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__eq__dom-1, axiom, ( ( c_Map_Omap__of(_u17461, _u17462, _u17463) != c_Map_Omap__of(_u17461, _u17462, _u17464)) | ( hAPP(c_Set_Oimage(tc_prod(_u17461, _u17462), _u17461, c_Product__Type_Ofst(_u17461, _u17462)), hAPP(c_List_Oset(tc_prod(_u17461, _u17462)), _u17463)) = hAPP(c_Set_Oimage(tc_prod(_u17461, _u17462), _u17461, c_Product__Type_Ofst(_u17461, _u17462)), hAPP(c_List_Oset(tc_prod(_u17461, _u17462)), _u17464))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__is__SomeD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__is__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17465, _u17466, _u17467), _u17468) != hAPP(c_Option_Ooption_OSome(_u17466), _u17469)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17465, _u17466)), hAPP(hAPP(c_Product__Type_OPair(_u17465, _u17466), _u17468), _u17469)), hAPP(c_List_Oset(tc_prod(_u17465, _u17466)), _u17467))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__SomeD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17470, _u17471, _u17472), _u17473) != hAPP(c_Option_Ooption_OSome(_u17471), _u17474)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17470, _u17471)), hAPP(hAPP(c_Product__Type_OPair(_u17470, _u17471), _u17473), _u17474)), hAPP(c_List_Oset(tc_prod(_u17470, _u17471)), _u17472))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_dom__map__of__conv__image__fst ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_dom__map__of__conv__image__fst-1, axiom, ( ( c_Map_Odom(_u17475, _u17476, c_Map_Omap__of(_u17475, _u17476, _u17477)) = hAPP(c_Set_Oimage(tc_prod(_u17475, _u17476), _u17475, c_Product__Type_Ofst(_u17475, _u17476)), hAPP(c_List_Oset(tc_prod(_u17475, _u17476)), _u17477))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__eq__None__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__eq__None__iff-1, axiom, ( ( hAPP(c_Map_Omap__of(_u17482, _u17484, _u17486), _u17488) != c_Option_Ooption_ONone(_u17484)) | ~hBOOL(hAPP(hAPP(c_member(_u17482), _u17488), hAPP(c_Set_Oimage(tc_prod(_u17482, _u17484), _u17482, c_Product__Type_Ofst(_u17482, _u17484)), hAPP(c_List_Oset(tc_prod(_u17482, _u17484)), _u17486)))) )).
% 13.05/13.28 cnf(fact_map__of__eq__None__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17483), _u17489), hAPP(c_Set_Oimage(tc_prod(_u17483, _u17485), _u17483, c_Product__Type_Ofst(_u17483, _u17485)), hAPP(c_List_Oset(tc_prod(_u17483, _u17485)), _u17487)))) | ( hAPP(c_Map_Omap__of(_u17483, _u17485, _u17487), _u17489) = c_Option_Ooption_ONone(_u17485)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Option_Omap__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Option_Omap__def-1, axiom, ( ( hAPP(c_Option_Omap(_u17490, _u17491), _u17492) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17491), _u17490, c_Option_Ooption_ONone(_u17491), hAPP(hAPP(c_COMBB(_u17491, tc_Option_Ooption(_u17491), _u17490), c_Option_Ooption_OSome(_u17491)), _u17492))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_WT__bodies__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_WT__bodies__def-1, axiom, ( ~c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), _u17493), hAPP(c_List_Oset(tc_prod(tc_Com_Opname, tc_Com_Ocom)), c_Com_Obodies))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname, tc_Com_Ocom, tc_HOL_Obool), hAPP(c_COMBK(tc_fun(tc_Com_Ocom, tc_HOL_Obool), tc_Com_Opname), c_Com_OWT)), _u17493)) )).
% 13.05/13.28 cnf(fact_WT__bodies__def-2, axiom, ( c_Com_OWT__bodies | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), skolem451), hAPP(c_List_Oset(tc_prod(tc_Com_Opname, tc_Com_Ocom)), c_Com_Obodies))) )).
% 13.05/13.28 cnf(fact_WT__bodies__def-3, axiom, ( c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname, tc_Com_Ocom, tc_HOL_Obool), hAPP(c_COMBK(tc_fun(tc_Com_Ocom, tc_HOL_Obool), tc_Com_Opname), c_Com_OWT)), skolem451)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__map__restrict ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__map__restrict-1, axiom, ( ( c_Map_Omap__of(_u17495, _u17496, hAPP(hAPP(c_List_Omap(_u17495, tc_prod(_u17495, _u17496)), hAPP(hAPP(c_COMBS(_u17495, _u17496, tc_prod(_u17495, _u17496)), c_Product__Type_OPair(_u17495, _u17496)), _u17497)), _u17498)) = c_Map_Orestrict__map(_u17495, _u17496, hAPP(c_Fun_Ocomp(_u17496, tc_Option_Ooption(_u17496), _u17495, c_Option_Ooption_OSome(_u17496)), _u17497), hAPP(c_List_Oset(_u17495), _u17498))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_ran__distinct ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_ran__distinct-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17499), hAPP(hAPP(c_List_Omap(tc_prod(_u17499, _u17500), _u17499), c_Product__Type_Ofst(_u17499, _u17500)), _u17501))) | ( c_Map_Oran(_u17499, _u17500, c_Map_Omap__of(_u17499, _u17500, _u17501)) = hAPP(c_Set_Oimage(tc_prod(_u17499, _u17500), _u17500, c_Product__Type_Osnd(_u17499, _u17500)), hAPP(c_List_Oset(tc_prod(_u17499, _u17500)), _u17501))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__map__of__compr ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__map__of__compr-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17502), hAPP(hAPP(c_List_Omap(tc_prod(_u17502, _u17503), _u17502), c_Product__Type_Ofst(_u17502, _u17503)), _u17504))) | ( hAPP(c_List_Oset(tc_prod(_u17502, _u17503)), _u17504) = hAPP(c_Set_OCollect(tc_prod(_u17502, _u17503)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17502, _u17503, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17502, tc_fun(_u17503, tc_Option_Ooption(_u17503)), tc_fun(_u17503, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17503), tc_HOL_Obool), tc_fun(tc_fun(_u17503, tc_Option_Ooption(_u17503)), tc_fun(_u17503, tc_HOL_Obool)), _u17502), c_COMBB(tc_Option_Ooption(_u17503), tc_HOL_Obool, _u17503)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17503), tc_fun(tc_Option_Ooption(_u17503), tc_HOL_Obool), _u17502), c_fequal), c_Map_Omap__of(_u17502, _u17503, _u17504)))), c_Option_Ooption_OSome(_u17503))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17509), hAPP(hAPP(c_List_Omap(_u17511, _u17509), _u17513), _u17515))) | hBOOL(hAPP(c_List_Odistinct(_u17511), _u17515)) )).
% 13.05/13.28 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17509), hAPP(hAPP(c_List_Omap(_u17511, _u17509), _u17513), _u17515))) | c_Fun_Oinj__on(_u17511, _u17509, _u17513, hAPP(c_List_Oset(_u17511), _u17515)) )).
% 13.05/13.28 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17512), _u17516)) | ~c_Fun_Oinj__on(_u17512, _u17510, _u17514, hAPP(c_List_Oset(_u17512), _u17516)) | hBOOL(hAPP(c_List_Odistinct(_u17510), hAPP(hAPP(c_List_Omap(_u17512, _u17510), _u17514), _u17516))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__inject__set ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__inject__set-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17519))) | ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17520))) | ( c_Map_Omap__of(_u17517, _u17518, _u17519) != c_Map_Omap__of(_u17517, _u17518, _u17520)) | ( hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17519) = hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17520)) )).
% 13.05/13.28 cnf(fact_map__of__inject__set-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17519))) | ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17520))) | ( hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17519) != hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17520)) | ( c_Map_Omap__of(_u17517, _u17518, _u17519) = c_Map_Omap__of(_u17517, _u17518, _u17520)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Some__eq__map__of__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Some__eq__map__of__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17521), hAPP(hAPP(c_List_Omap(tc_prod(_u17521, _u17522), _u17521), c_Product__Type_Ofst(_u17521, _u17522)), _u17523))) | ( hAPP(c_Option_Ooption_OSome(_u17522), _u17524) != hAPP(c_Map_Omap__of(_u17521, _u17522, _u17523), _u17525)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17521, _u17522)), hAPP(hAPP(c_Product__Type_OPair(_u17521, _u17522), _u17525), _u17524)), hAPP(c_List_Oset(tc_prod(_u17521, _u17522)), _u17523))) )).
% 13.05/13.28 cnf(fact_Some__eq__map__of__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17521), hAPP(hAPP(c_List_Omap(tc_prod(_u17521, _u17522), _u17521), c_Product__Type_Ofst(_u17521, _u17522)), _u17523))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17521, _u17522)), hAPP(hAPP(c_Product__Type_OPair(_u17521, _u17522), _u17525), _u17524)), hAPP(c_List_Oset(tc_prod(_u17521, _u17522)), _u17523))) | ( hAPP(c_Option_Ooption_OSome(_u17522), _u17524) = hAPP(c_Map_Omap__of(_u17521, _u17522, _u17523), _u17525)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__eq__Some__iff ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__eq__Some__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17526), hAPP(hAPP(c_List_Omap(tc_prod(_u17526, _u17527), _u17526), c_Product__Type_Ofst(_u17526, _u17527)), _u17528))) | ( hAPP(c_Map_Omap__of(_u17526, _u17527, _u17528), _u17529) != hAPP(c_Option_Ooption_OSome(_u17527), _u17530)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17526, _u17527)), hAPP(hAPP(c_Product__Type_OPair(_u17526, _u17527), _u17529), _u17530)), hAPP(c_List_Oset(tc_prod(_u17526, _u17527)), _u17528))) )).
% 13.05/13.28 cnf(fact_map__of__eq__Some__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17526), hAPP(hAPP(c_List_Omap(tc_prod(_u17526, _u17527), _u17526), c_Product__Type_Ofst(_u17526, _u17527)), _u17528))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17526, _u17527)), hAPP(hAPP(c_Product__Type_OPair(_u17526, _u17527), _u17529), _u17530)), hAPP(c_List_Oset(tc_prod(_u17526, _u17527)), _u17528))) | ( hAPP(c_Map_Omap__of(_u17526, _u17527, _u17528), _u17529) = hAPP(c_Option_Ooption_OSome(_u17527), _u17530)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__is__SomeI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__is__SomeI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17531), hAPP(hAPP(c_List_Omap(tc_prod(_u17531, _u17532), _u17531), c_Product__Type_Ofst(_u17531, _u17532)), _u17533))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17531, _u17532)), hAPP(hAPP(c_Product__Type_OPair(_u17531, _u17532), _u17534), _u17535)), hAPP(c_List_Oset(tc_prod(_u17531, _u17532)), _u17533))) | ( hAPP(c_Map_Omap__of(_u17531, _u17532, _u17533), _u17534) = hAPP(c_Option_Ooption_OSome(_u17532), _u17535)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u17536, _u17537) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17536), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17537), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_weak__map__of__SomeI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_weak__map__of__SomeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17539, _u17540)), hAPP(hAPP(c_Product__Type_OPair(_u17539, _u17540), _u17541), _u17542)), hAPP(c_List_Oset(tc_prod(_u17539, _u17540)), _u17543))) | ( hAPP(c_Map_Omap__of(_u17539, _u17540, _u17543), _u17541) = hAPP(c_Option_Ooption_OSome(_u17540), skolem452(_u17543, _u17542, _u17541, _u17540, _u17539))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17544, _u17545) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17544, _u17545))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17546, _u17547)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17546, _u17547)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u17548, _u17549))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u17550), _u17551) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17550, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17551), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u17552, _u17553) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17552), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17553))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u17555) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17555)) )).
% 13.05/13.28 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17556)) | c_List_Onat__list(_u17556) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17557), _u17558)) | ( hAPP(c_List_Oset(_u17557), c_List_Oremove1(_u17557, _u17559, _u17558)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17557, tc_HOL_Obool)), hAPP(c_List_Oset(_u17557), _u17558)), hAPP(hAPP(c_Set_Oinsert(_u17557), _u17559), c_Orderings_Obot__class_Obot(tc_fun(_u17557, tc_HOL_Obool))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17560), _u17561), hAPP(c_List_Oset(_u17560), _u17562))) | ( c_List_Oremove1(_u17560, _u17561, _u17562) = _u17562) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17563), _u17564), hAPP(c_List_Oset(_u17563), _u17565))) | ~hBOOL(hAPP(hAPP(c_member(_u17563), _u17564), hAPP(c_List_Oset(_u17563), c_List_Oremove1(_u17563, _u17566, _u17565)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_in__set__remove1-1, axiom, ( ( _u17567 = _u17568) | ~hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), c_List_Oremove1(_u17569, _u17568, _u17570)))) | hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), _u17570))) )).
% 13.05/13.28 cnf(fact_in__set__remove1-2, axiom, ( ( _u17567 = _u17568) | ~hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), _u17570))) | hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), c_List_Oremove1(_u17569, _u17568, _u17570)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17571, tc_HOL_Obool)), hAPP(c_List_Oset(_u17571), c_List_Oremove1(_u17571, _u17572, _u17573))), hAPP(c_List_Oset(_u17571), _u17573))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u17574, _u17575, c_List_Oremove1(_u17574, _u17576, _u17577)) = c_List_Oremove1(_u17574, _u17576, c_List_Oremove1(_u17574, _u17575, _u17577))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17578), _u17579)) | hBOOL(hAPP(c_List_Odistinct(_u17578), c_List_Oremove1(_u17578, _u17580, _u17579))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u17581) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17581), _u17582)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17581, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17581, tc_HOL_Obool)), _u17582), hAPP(hAPP(c_Set_Oinsert(_u17581), _u17583), c_Orderings_Obot__class_Obot(tc_fun(_u17581, tc_HOL_Obool))))) = c_List_Oremove1(_u17581, _u17583, c_List_Olinorder__class_Osorted__list__of__set(_u17581, _u17582))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__zip__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__zip__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17589), _u17591), hAPP(c_List_Oset(_u17589), _u17593))) | ( hAPP(c_Map_Omap__of(_u17589, _u17595, hAPP(hAPP(c_List_Ozip(_u17589, _u17595), _u17593), hAPP(hAPP(c_List_Omap(_u17589, _u17595), _u17597), _u17593))), _u17591) = hAPP(c_Option_Ooption_OSome(_u17595), hAPP(_u17597, _u17591))) )).
% 13.05/13.28 cnf(fact_map__of__zip__map-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17590), _u17592), hAPP(c_List_Oset(_u17590), _u17594))) | ( hAPP(c_Map_Omap__of(_u17590, _u17596, hAPP(hAPP(c_List_Ozip(_u17590, _u17596), _u17594), hAPP(hAPP(c_List_Omap(_u17590, _u17596), _u17598), _u17594))), _u17592) = c_Option_Ooption_ONone(_u17596)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17599), _u17600)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17601, _u17599)), hAPP(hAPP(c_List_Ozip(_u17601, _u17599), _u17602), _u17600))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17603), _u17604)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17603, _u17605)), hAPP(hAPP(c_List_Ozip(_u17603, _u17605), _u17604), _u17606))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17607, _u17607), _u17608), _u17608) = hAPP(hAPP(c_List_Omap(_u17607, tc_prod(_u17607, _u17607)), hAPP(hAPP(c_COMBS(_u17607, _u17607, tc_prod(_u17607, _u17607)), c_Product__Type_OPair(_u17607, _u17607)), c_COMBI(_u17607))), _u17608)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17609, _u17610), hAPP(hAPP(c_List_Omap(tc_prod(_u17609, _u17610), _u17609), c_Product__Type_Ofst(_u17609, _u17610)), _u17611)), hAPP(hAPP(c_List_Omap(tc_prod(_u17609, _u17610), _u17610), c_Product__Type_Osnd(_u17609, _u17610)), _u17611)) = _u17611) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17612, _u17613), _u17614), _u17615), hAPP(hAPP(c_List_Ozip(_u17612, _u17613), hAPP(hAPP(c_List_Omap(_u17616, _u17612), _u17617), _u17618)), _u17619)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17616, _u17613), _u17614), hAPP(c_Product__Type_Oprod_Oprod__case(_u17616, _u17613, _u17614), hAPP(hAPP(c_COMBB(tc_fun(_u17613, tc_prod(_u17612, _u17613)), tc_fun(_u17613, _u17614), _u17616), hAPP(c_COMBB(tc_prod(_u17612, _u17613), _u17614, _u17613), _u17615)), hAPP(hAPP(c_COMBB(_u17612, tc_fun(_u17613, tc_prod(_u17612, _u17613)), _u17616), c_Product__Type_OPair(_u17612, _u17613)), _u17617)))), hAPP(hAPP(c_List_Ozip(_u17616, _u17613), _u17618), _u17619))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17620, _u17621), _u17622), _u17623), hAPP(hAPP(c_List_Ozip(_u17620, _u17621), _u17624), hAPP(hAPP(c_List_Omap(_u17625, _u17621), _u17626), _u17627))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17620, _u17625), _u17622), hAPP(c_Product__Type_Oprod_Oprod__case(_u17620, _u17625, _u17622), hAPP(hAPP(c_COMBB(tc_fun(_u17625, tc_prod(_u17620, _u17621)), tc_fun(_u17625, _u17622), _u17620), hAPP(c_COMBB(tc_prod(_u17620, _u17621), _u17622, _u17625), _u17623)), hAPP(hAPP(c_COMBC(_u17620, tc_fun(_u17625, _u17621), tc_fun(_u17625, tc_prod(_u17620, _u17621))), hAPP(hAPP(c_COMBB(tc_fun(_u17621, tc_prod(_u17620, _u17621)), tc_fun(tc_fun(_u17625, _u17621), tc_fun(_u17625, tc_prod(_u17620, _u17621))), _u17620), c_COMBB(_u17621, tc_prod(_u17620, _u17621), _u17625)), c_Product__Type_OPair(_u17620, _u17621))), _u17626)))), hAPP(hAPP(c_List_Ozip(_u17620, _u17625), _u17624), _u17627))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_Product__Type_OPair(_u17632, _u17632), _u17634), _u17636)), hAPP(c_List_Oset(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_List_Ozip(_u17632, _u17632), _u17638), _u17638)))) | hBOOL(hAPP(hAPP(c_member(_u17632), _u17634), hAPP(c_List_Oset(_u17632), _u17638))) )).
% 13.05/13.28 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_Product__Type_OPair(_u17632, _u17632), _u17634), _u17636)), hAPP(c_List_Oset(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_List_Ozip(_u17632, _u17632), _u17638), _u17638)))) | ( _u17634 = _u17636) )).
% 13.05/13.28 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17633), _u17635), hAPP(c_List_Oset(_u17633), _u17639))) | ( _u17635 != _u17637) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17633, _u17633)), hAPP(hAPP(c_Product__Type_OPair(_u17633, _u17633), _u17635), _u17637)), hAPP(c_List_Oset(tc_prod(_u17633, _u17633)), hAPP(hAPP(c_List_Ozip(_u17633, _u17633), _u17639), _u17639)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17640, _u17641)), hAPP(hAPP(c_Product__Type_OPair(_u17640, _u17641), _u17642), _u17643)), hAPP(c_List_Oset(tc_prod(_u17640, _u17641)), hAPP(hAPP(c_List_Ozip(_u17640, _u17641), _u17644), _u17645)))) | hBOOL(hAPP(hAPP(c_member(_u17640), _u17642), hAPP(c_List_Oset(_u17640), _u17644))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17647), _u17649), hAPP(c_List_Oset(_u17647), _u17651))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17646, _u17647)), hAPP(hAPP(c_Product__Type_OPair(_u17646, _u17647), _u17648), _u17649)), hAPP(c_List_Oset(tc_prod(_u17646, _u17647)), hAPP(hAPP(c_List_Ozip(_u17646, _u17647), _u17650), _u17651)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_Product__Type_OPair(_u17652, _u17653), _u17654), _u17655)), hAPP(c_List_Oset(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_List_Ozip(_u17652, _u17653), _u17656), _u17657)))) | hBOOL(hAPP(hAPP(c_member(_u17652), _u17654), hAPP(c_List_Oset(_u17652), _u17656))) )).
% 13.05/13.28 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_Product__Type_OPair(_u17652, _u17653), _u17654), _u17655)), hAPP(c_List_Oset(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_List_Ozip(_u17652, _u17653), _u17656), _u17657)))) | hBOOL(hAPP(hAPP(c_member(_u17653), _u17655), hAPP(c_List_Oset(_u17653), _u17657))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17658, _u17659), hAPP(hAPP(c_List_Omap(_u17660, _u17658), _u17661), _u17662)), hAPP(hAPP(c_List_Omap(_u17663, _u17659), _u17664), _u17665)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17660, _u17663), tc_prod(_u17658, _u17659)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17660, _u17663, tc_prod(_u17658, _u17659)), hAPP(hAPP(c_COMBC(_u17660, tc_fun(_u17663, _u17659), tc_fun(_u17663, tc_prod(_u17658, _u17659))), hAPP(hAPP(c_COMBB(tc_fun(_u17659, tc_prod(_u17658, _u17659)), tc_fun(tc_fun(_u17663, _u17659), tc_fun(_u17663, tc_prod(_u17658, _u17659))), _u17660), c_COMBB(_u17659, tc_prod(_u17658, _u17659), _u17663)), hAPP(hAPP(c_COMBB(_u17658, tc_fun(_u17659, tc_prod(_u17658, _u17659)), _u17660), c_Product__Type_OPair(_u17658, _u17659)), _u17661))), _u17664))), hAPP(hAPP(c_List_Ozip(_u17660, _u17663), _u17662), _u17665))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17666, _u17667), hAPP(hAPP(c_List_Omap(_u17668, _u17666), _u17669), _u17670)), _u17671) = hAPP(hAPP(c_List_Omap(tc_prod(_u17668, _u17667), tc_prod(_u17666, _u17667)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17668, _u17667, tc_prod(_u17666, _u17667)), hAPP(hAPP(c_COMBB(_u17666, tc_fun(_u17667, tc_prod(_u17666, _u17667)), _u17668), c_Product__Type_OPair(_u17666, _u17667)), _u17669))), hAPP(hAPP(c_List_Ozip(_u17668, _u17667), _u17670), _u17671))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17672, _u17673), _u17674), hAPP(hAPP(c_List_Omap(_u17675, _u17673), _u17676), _u17677)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17672, _u17675), tc_prod(_u17672, _u17673)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17672, _u17675, tc_prod(_u17672, _u17673)), hAPP(hAPP(c_COMBC(_u17672, tc_fun(_u17675, _u17673), tc_fun(_u17675, tc_prod(_u17672, _u17673))), hAPP(hAPP(c_COMBB(tc_fun(_u17673, tc_prod(_u17672, _u17673)), tc_fun(tc_fun(_u17675, _u17673), tc_fun(_u17675, tc_prod(_u17672, _u17673))), _u17672), c_COMBB(_u17673, tc_prod(_u17672, _u17673), _u17675)), c_Product__Type_OPair(_u17672, _u17673))), _u17676))), hAPP(hAPP(c_List_Ozip(_u17672, _u17675), _u17674), _u17677))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17678) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17678), _u17679)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17678, hAPP(hAPP(c_Set_Oinsert(_u17678), _u17680), _u17679)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17678, _u17678, c_COMBI(_u17678)), _u17680), c_List_Olinorder__class_Osorted__list__of__set(_u17678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17678, tc_HOL_Obool)), _u17679), hAPP(hAPP(c_Set_Oinsert(_u17678), _u17680), c_Orderings_Obot__class_Obot(tc_fun(_u17678, tc_HOL_Obool))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__zip__upd ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__zip__upd-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17681)), _u17682) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), _u17684)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17681)), _u17685) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), _u17684)) | hBOOL(hAPP(hAPP(c_member(_u17683), _u17686), hAPP(c_List_Oset(_u17683), _u17684))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17683, tc_Option_Ooption(_u17681)), c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17682))), _u17686), hAPP(c_Option_Ooption_OSome(_u17681), _u17687)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17683, tc_Option_Ooption(_u17681)), c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17685))), _u17686), hAPP(c_Option_Ooption_OSome(_u17681), _u17688))) | ( c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17682)) = c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17685))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u17689, _u17690))), hAPP(hAPP(c_List_Ozip(_u17689, _u17690), _u17691), _u17692)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17689)), _u17691)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17690)), _u17692))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17693) | ( hAPP(c_List_Oset(_u17694), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17694, _u17693, _u17695), _u17696), _u17697)) = hAPP(hAPP(c_Set_Oinsert(_u17694), _u17696), hAPP(c_List_Oset(_u17694), _u17697))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u17699 != _u17700) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17698)), _u17699) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17698)), _u17700)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17701) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17702)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17702, _u17701, _u17703), _u17704), _u17705)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17702)), _u17705))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17706) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17707), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17708), _u17709)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17708), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17707), _u17709))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17710) | ( hAPP(_u17711, _u17712) = hAPP(_u17711, _u17713)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17713), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17712), _u17715)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17712), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17713), _u17715))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17716) | c_Finite__Set_Ofun__left__comm(_u17716, tc_List_Olist(_u17716), c_List_Olinorder__class_Oinsort__key(_u17716, _u17716, c_COMBI(_u17716))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17717), tc_List_Olist(_u17717))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17717), tc_List_Olist(_u17717)), _u17718), _u17719)), hAPP(c_List_Olexn(_u17717, _u17720), _u17721))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17717)), _u17718) = _u17721) )).
% 13.05/13.28 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17717), tc_List_Olist(_u17717))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17717), tc_List_Olist(_u17717)), _u17718), _u17719)), hAPP(c_List_Olexn(_u17717, _u17720), _u17721))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17717)), _u17719) = _u17721) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_length__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17722)), hAPP(hAPP(c_List_Omap(_u17723, _u17722), _u17724), _u17725)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17723)), _u17725)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17726, _u17727), _u17728), _u17729) != hAPP(hAPP(c_List_Omap(_u17730, _u17727), _u17731), _u17732)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17726)), _u17729) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17730)), _u17732)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17733) | ( c_List_Oremove1(_u17733, _u17734, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17733, _u17733, c_COMBI(_u17733)), _u17734), _u17735)) = _u17735) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_card__length ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u17736), hAPP(c_List_Oset(_u17736), _u17737))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17736)), _u17737))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u17738), hAPP(c_List_Oset(_u17738), _u17739)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17739)) | hBOOL(hAPP(c_List_Odistinct(_u17738), _u17739)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17740), _u17741)) | ( hAPP(c_Finite__Set_Ocard(_u17740), hAPP(c_List_Oset(_u17740), _u17741)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17740)), _u17741)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__zip__inject ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__zip__inject-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17742)), _u17743) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17744)), _u17745)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17742)), _u17746) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17744)), _u17745)) | ~hBOOL(hAPP(c_List_Odistinct(_u17744), _u17745)) | ( c_Map_Omap__of(_u17744, _u17742, hAPP(hAPP(c_List_Ozip(_u17744, _u17742), _u17745), _u17743)) != c_Map_Omap__of(_u17744, _u17742, hAPP(hAPP(c_List_Ozip(_u17744, _u17742), _u17745), _u17746))) | ( _u17743 = _u17746) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17747)), _u17748) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17749)), _u17750)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17747, _u17749), _u17747), c_Product__Type_Ofst(_u17747, _u17749)), hAPP(hAPP(c_List_Ozip(_u17747, _u17749), _u17748), _u17750)) = _u17748) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)), _u17752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)), _u17754)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17751, _u17753), _u17753), c_Product__Type_Osnd(_u17751, _u17753)), hAPP(hAPP(c_List_Ozip(_u17751, _u17753), _u17752), _u17754)) = _u17754) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17755) | ~hBOOL(hAPP(c_List_Odistinct(_u17756), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17756, _u17755, _u17757), _u17758), _u17759))) | ~hBOOL(hAPP(hAPP(c_member(_u17756), _u17758), hAPP(c_List_Oset(_u17756), _u17759))) )).
% 13.05/13.28 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17755) | ~hBOOL(hAPP(c_List_Odistinct(_u17756), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17756, _u17755, _u17757), _u17758), _u17759))) | hBOOL(hAPP(c_List_Odistinct(_u17756), _u17759)) )).
% 13.05/13.28 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u17755) | hBOOL(hAPP(hAPP(c_member(_u17756), _u17758), hAPP(c_List_Oset(_u17756), _u17759))) | ~hBOOL(hAPP(c_List_Odistinct(_u17756), _u17759)) | hBOOL(hAPP(c_List_Odistinct(_u17756), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17756, _u17755, _u17757), _u17758), _u17759))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17760), _u17761), hAPP(c_List_Oset(_u17760), _u17762))) | 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(_u17760)), _u17762))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17764) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17766)) | ( hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17764), _u17766) != _u17767) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17763), c_Product__Type_Ofst(_u17763, _u17765)), _u17767) = _u17764) )).
% 13.05/13.28 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17764) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17766)) | ( hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17764), _u17766) != _u17767) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17765), c_Product__Type_Osnd(_u17763, _u17765)), _u17767) = _u17766) )).
% 13.05/13.28 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17764) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17766)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17763), c_Product__Type_Ofst(_u17763, _u17765)), _u17767) != _u17764) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17765), c_Product__Type_Osnd(_u17763, _u17765)), _u17767) != _u17766) | ( hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17764), _u17766) = _u17767) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u17768, _u17769) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17768), tc_List_Olist(_u17768), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBS(tc_List_Olist(_u17768), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17768)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17768)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17768))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17768)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBS(tc_List_Olist(_u17768), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17768)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17768)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17768))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17768)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768))), tc_fun(tc_List_Olist(_u17768), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u17768)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17768)), c_member(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768))))), c_Product__Type_OPair(tc_List_Olist(_u17768), tc_List_Olist(_u17768))))), c_List_Olex(_u17768, _u17769))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u17770, _u17771) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u17770)), tc_List_Olist(_u17770)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u17770), c_Wellfounded_Oless__than, c_List_Olex(_u17770, _u17771))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17770), tc_List_Olist(_u17770), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17770))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u17770), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17770))), tc_List_Olist(_u17770)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u17770))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17770)))), c_COMBI(tc_List_Olist(_u17770))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17772), _u17773)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17772)), hAPP(c_Set_OCollect(tc_List_Olist(_u17772)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17772), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17772)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17772), tc_fun(_u17772, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17772, tc_HOL_Obool), tc_fun(tc_fun(_u17772, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17772)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17772, tc_HOL_Obool))), c_List_Oset(_u17772))), _u17773))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17772), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17772)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17772)))), _u17774))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u17780 != _u17782) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17784)), _u17780) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17784)), _u17782)) )).
% 13.05/13.28 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u17780 != _u17782) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17784, _u17784)), _u17775), hAPP(c_List_Oset(tc_prod(_u17784, _u17784)), hAPP(hAPP(c_List_Ozip(_u17784, _u17784), _u17780), _u17782)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17784, _u17784, tc_HOL_Obool), c_fequal), _u17775)) )).
% 13.05/13.28 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u17781 = _u17783) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17781) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17783)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17785, _u17785)), skolem453(_u17785, _u17783, _u17781)), hAPP(c_List_Oset(tc_prod(_u17785, _u17785)), hAPP(hAPP(c_List_Ozip(_u17785, _u17785), _u17781), _u17783)))) )).
% 13.05/13.28 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u17781 = _u17783) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17781) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17783)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17785, _u17785, tc_HOL_Obool), c_fequal), skolem453(_u17785, _u17783, _u17781))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__zip__is__None ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__zip__is__None-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17786)), _u17787) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17788)), _u17789)) | ( hAPP(c_Map_Omap__of(_u17786, _u17788, hAPP(hAPP(c_List_Ozip(_u17786, _u17788), _u17787), _u17789)), _u17790) != c_Option_Ooption_ONone(_u17788)) | ~hBOOL(hAPP(hAPP(c_member(_u17786), _u17790), hAPP(c_List_Oset(_u17786), _u17787))) )).
% 13.05/13.28 cnf(fact_map__of__zip__is__None-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17786)), _u17787) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17788)), _u17789)) | hBOOL(hAPP(hAPP(c_member(_u17786), _u17790), hAPP(c_List_Oset(_u17786), _u17787))) | ( hAPP(c_Map_Omap__of(_u17786, _u17788, hAPP(hAPP(c_List_Ozip(_u17786, _u17788), _u17787), _u17789)), _u17790) = c_Option_Ooption_ONone(_u17788)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__zip__is__Some ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__zip__is__Some-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17793)), _u17794) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17795)), _u17796)) | ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17797), hAPP(c_List_Oset(_u17793), _u17794))) | ( hAPP(c_Map_Omap__of(_u17793, _u17795, hAPP(hAPP(c_List_Ozip(_u17793, _u17795), _u17794), _u17796)), _u17797) = hAPP(c_Option_Ooption_OSome(_u17795), skolem454(_u17797, _u17796, _u17795, _u17794, _u17793))) )).
% 13.05/13.28 cnf(fact_map__of__zip__is__Some-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17793)), _u17794) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17795)), _u17796)) | ( hAPP(c_Map_Omap__of(_u17793, _u17795, hAPP(hAPP(c_List_Ozip(_u17793, _u17795), _u17794), _u17796)), _u17797) != hAPP(c_Option_Ooption_OSome(_u17795), _u17792)) | hBOOL(hAPP(hAPP(c_member(_u17793), _u17797), hAPP(c_List_Oset(_u17793), _u17794))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17801), _u17803), hAPP(c_List_Oset(_u17801), _u17805))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17801)), c_List_Oremove1(_u17801, _u17803, _u17805)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17801)), _u17805)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.05/13.28 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17802), _u17804), hAPP(c_List_Oset(_u17802), _u17806))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17802)), c_List_Oremove1(_u17802, _u17804, _u17806)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17802)), _u17806)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_dom__map__of__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_dom__map__of__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17807)), _u17808) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17809)), _u17810)) | ~hBOOL(hAPP(c_List_Odistinct(_u17807), _u17808)) | ( c_Map_Odom(_u17807, _u17809, c_Map_Omap__of(_u17807, _u17809, hAPP(hAPP(c_List_Ozip(_u17807, _u17809), _u17808), _u17810))) = hAPP(c_List_Oset(_u17807), _u17808)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17811), _u17812)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17811)), hAPP(c_Set_OCollect(tc_List_Olist(_u17811)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17811), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17811)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17811), tc_fun(_u17811, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17811, tc_HOL_Obool), tc_fun(tc_fun(_u17811, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17811)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17811, tc_HOL_Obool))), c_List_Oset(_u17811))), _u17812))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17811), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17811)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17811)))), _u17813))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17816), _u17818)) | ( c_Nitpick_Ocard_H(_u17816, _u17818) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17816)), c_Hilbert__Choice_OEps(tc_List_Olist(_u17816), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17816), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17816)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17816), tc_fun(_u17816, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17816, tc_HOL_Obool), tc_fun(tc_fun(_u17816, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17816)), c_fequal), c_List_Oset(_u17816))), _u17818))), c_List_Odistinct(_u17816))))) )).
% 13.05/13.28 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17817), _u17819)) | ( c_Nitpick_Ocard_H(_u17817, _u17819) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17826), tc_List_Olist(_u17826))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17826), tc_List_Olist(_u17826)), _u17828), _u17830)), c_List_Olistrel(_u17826, _u17832))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17826)), _u17828) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17826)), _u17830)) )).
% 13.05/13.28 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17826), tc_List_Olist(_u17826))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17826), tc_List_Olist(_u17826)), _u17828), _u17830)), c_List_Olistrel(_u17826, _u17832))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17826, _u17826)), _u17820), hAPP(c_List_Oset(tc_prod(_u17826, _u17826)), hAPP(hAPP(c_List_Ozip(_u17826, _u17826), _u17828), _u17830)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17826, _u17826, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17826, tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_fun(_u17826, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17826, tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_fun(_u17826, tc_HOL_Obool)), _u17826), c_COMBC(_u17826, tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17826, tc_prod(_u17826, _u17826)), tc_fun(_u17826, tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool)), _u17826), hAPP(c_COMBB(tc_prod(_u17826, _u17826), tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool), _u17826), c_member(tc_prod(_u17826, _u17826)))), c_Product__Type_OPair(_u17826, _u17826)))), _u17832)), _u17820)) )).
% 13.05/13.28 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17827), tc_List_Olist(_u17827))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17827), tc_List_Olist(_u17827)), _u17829), _u17831)), c_List_Olistrel(_u17827, _u17833))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17829) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17831)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17827, _u17827)), skolem455(_u17833, _u17831, _u17829, _u17827)), hAPP(c_List_Oset(tc_prod(_u17827, _u17827)), hAPP(hAPP(c_List_Ozip(_u17827, _u17827), _u17829), _u17831)))) )).
% 13.05/13.28 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17827), tc_List_Olist(_u17827))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17827), tc_List_Olist(_u17827)), _u17829), _u17831)), c_List_Olistrel(_u17827, _u17833))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17829) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17831)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17827, _u17827, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17827, tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_fun(_u17827, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17827, tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_fun(_u17827, tc_HOL_Obool)), _u17827), c_COMBC(_u17827, tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17827, tc_prod(_u17827, _u17827)), tc_fun(_u17827, tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool)), _u17827), hAPP(c_COMBB(tc_prod(_u17827, _u17827), tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool), _u17827), c_member(tc_prod(_u17827, _u17827)))), c_Product__Type_OPair(_u17827, _u17827)))), _u17833)), skolem455(_u17833, _u17831, _u17829, _u17827))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17834), tc_List_Olist(_u17834))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17834), tc_List_Olist(_u17834)), _u17835), _u17835)), c_List_Olistrel(_u17834, c_Transitive__Closure_Ortrancl(_u17834, _u17836)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17837), tc_List_Olist(_u17837))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17837), tc_List_Olist(_u17837)), _u17838), _u17839)), c_List_Olistrel(_u17837, _u17840))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17837)), _u17838) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17837)), _u17839)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17841), tc_List_Olist(_u17841))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17841), tc_List_Olist(_u17841)), _u17842), _u17843)), c_List_Olistrel(_u17841, c_Transitive__Closure_Ortrancl(_u17841, _u17844)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17841), tc_List_Olist(_u17841))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17841), tc_List_Olist(_u17841)), _u17843), _u17845)), c_List_Olistrel(_u17841, c_Transitive__Closure_Ortrancl(_u17841, _u17844)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17841), tc_List_Olist(_u17841))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17841), tc_List_Olist(_u17841)), _u17842), _u17845)), c_List_Olistrel(_u17841, c_Transitive__Closure_Ortrancl(_u17841, _u17844)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u17846, _u17846), tc_HOL_Obool)), _u17847), _u17848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u17846), tc_List_Olist(_u17846)), tc_HOL_Obool)), c_List_Olistrel(_u17846, _u17847)), c_List_Olistrel(_u17846, _u17848))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u17853, hAPP(hAPP(c_COMBC(_u17853, tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_fun(_u17853, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17853, tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_fun(_u17853, tc_HOL_Obool)), _u17853), c_COMBC(_u17853, tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17853, tc_prod(_u17853, _u17853)), tc_fun(_u17853, tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool)), _u17853), hAPP(c_COMBB(tc_prod(_u17853, _u17853), tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool), _u17853), c_member(tc_prod(_u17853, _u17853)))), c_Product__Type_OPair(_u17853, _u17853)))), _u17855), _u17857, _u17859) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17853), tc_List_Olist(_u17853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17853), tc_List_Olist(_u17853)), _u17857), _u17859)), c_List_Olistrel(_u17853, _u17855))) )).
% 13.05/13.28 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17854), tc_List_Olist(_u17854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17854), tc_List_Olist(_u17854)), _u17858), _u17860)), c_List_Olistrel(_u17854, _u17856))) | c_List_Olistrelp(_u17854, hAPP(hAPP(c_COMBC(_u17854, tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_fun(_u17854, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17854, tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_fun(_u17854, tc_HOL_Obool)), _u17854), c_COMBC(_u17854, tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17854, tc_prod(_u17854, _u17854)), tc_fun(_u17854, tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool)), _u17854), hAPP(c_COMBB(tc_prod(_u17854, _u17854), tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool), _u17854), c_member(tc_prod(_u17854, _u17854)))), c_Product__Type_OPair(_u17854, _u17854)))), _u17856), _u17858, _u17860) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u17861, _u17862), hAPP(c_Nat_OSuc, _u17863)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u17861, tc_List_Olist(_u17861)), tc_prod(_u17861, tc_List_Olist(_u17861))), tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), c_Product__Type_Omap__pair(tc_prod(_u17861, tc_List_Olist(_u17861)), tc_List_Olist(_u17861), tc_prod(_u17861, tc_List_Olist(_u17861)), tc_List_Olist(_u17861), hAPP(c_Product__Type_Oprod_Oprod__case(_u17861, tc_List_Olist(_u17861), tc_List_Olist(_u17861)), c_List_Olist_OCons(_u17861)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17861, tc_List_Olist(_u17861), tc_List_Olist(_u17861)), c_List_Olist_OCons(_u17861)))), c_Wellfounded_Olex__prod(_u17861, tc_List_Olist(_u17861), _u17862, hAPP(c_List_Olexn(_u17861, _u17862), _u17863)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17861), tc_List_Olist(_u17861), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), tc_List_Olist(_u17861)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17861))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), hAPP(c_Nat_OSuc, _u17863))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), hAPP(c_Nat_OSuc, _u17863))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 13.05/13.28 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(_u17864)), _u17865)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17864)), _u17866))) | ( _u17865 != hAPP(hAPP(c_List_Olist_OCons(_u17864), _u17867), _u17866)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17868), _u17869), hAPP(c_List_Oset(_u17868), hAPP(hAPP(c_List_Olist_OCons(_u17868), _u17870), _u17871)))) | ( _u17869 = _u17870) | hBOOL(hAPP(hAPP(c_member(_u17868), _u17869), hAPP(c_List_Oset(_u17868), _u17871))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17872, _u17873), hAPP(hAPP(c_List_Olist_OCons(_u17872), _u17874), _u17875)), hAPP(hAPP(c_List_Olist_OCons(_u17873), _u17876), _u17877)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17872, _u17873)), hAPP(hAPP(c_Product__Type_OPair(_u17872, _u17873), _u17874), _u17876)), hAPP(hAPP(c_List_Ozip(_u17872, _u17873), _u17875), _u17877))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17878, tc_HOL_Obool)), hAPP(c_List_Oset(_u17878), _u17879)), hAPP(c_List_Oset(_u17878), hAPP(hAPP(c_List_Olist_OCons(_u17878), _u17880), _u17879)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u17881), hAPP(hAPP(c_List_Olist_OCons(_u17881), _u17882), _u17883)) = hAPP(hAPP(c_Set_Oinsert(_u17881), _u17882), hAPP(c_List_Oset(_u17881), _u17883))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u17884, _u17885, _u17886, hAPP(hAPP(c_List_Olist_OCons(_u17884), _u17887), _u17888), _u17889) = hAPP(hAPP(_u17886, _u17887), c_List_Ofoldr(_u17884, _u17885, _u17886, _u17888, _u17889))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_not__Cons__self-1, axiom, ( ( _u17890 != hAPP(hAPP(c_List_Olist_OCons(_u17891), _u17892), _u17890)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17893), _u17894), _u17895) != _u17895) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17903), _u17905) != hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17907), _u17909)) | ( _u17903 = _u17907) )).
% 13.05/13.28 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17903), _u17905) != hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17907), _u17909)) | ( _u17905 = _u17909) )).
% 13.05/13.28 cnf(fact_list_Oinject-3, axiom, ( ( _u17904 != _u17908) | ( _u17906 != _u17910) | ( hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17904), _u17906) = hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17908), _u17910)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u17917, _u17919, hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17921), _u17923), hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17925), _u17927)) | hBOOL(hAPP(hAPP(_u17919, _u17921), _u17925)) )).
% 13.05/13.28 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u17917, _u17919, hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17921), _u17923), hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17925), _u17927)) | c_List_Olistrelp(_u17917, _u17919, _u17923, _u17927) )).
% 13.05/13.28 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u17920, _u17922), _u17926)) | ~c_List_Olistrelp(_u17918, _u17920, _u17924, _u17928) | c_List_Olistrelp(_u17918, _u17920, hAPP(hAPP(c_List_Olist_OCons(_u17918), _u17922), _u17924), hAPP(hAPP(c_List_Olist_OCons(_u17918), _u17926), _u17928)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u17929, _u17930), _u17931)) | ~c_List_Olistrelp(_u17932, _u17929, _u17933, _u17934) | c_List_Olistrelp(_u17932, _u17929, hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17930), _u17933), hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17931), _u17934)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17935, _u17936), _u17937), hAPP(hAPP(c_List_Olist_OCons(_u17935), _u17938), _u17939)) = hAPP(hAPP(c_List_Olist_OCons(_u17936), hAPP(_u17937, _u17938)), hAPP(hAPP(c_List_Omap(_u17935, _u17936), _u17937), _u17939))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u17944 != _u17946) | ( c_List_Oremove1(_u17948, _u17944, hAPP(hAPP(c_List_Olist_OCons(_u17948), _u17946), _u17950)) = _u17950) )).
% 13.05/13.28 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u17945 = _u17947) | ( c_List_Oremove1(_u17949, _u17945, hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), _u17951)) = hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), c_List_Oremove1(_u17949, _u17945, _u17951))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17952), hAPP(_u17953, _u17954)), hAPP(_u17953, _u17955))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17956, _u17952, _u17953), _u17954), hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), _u17957)) = hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17954), hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), _u17957))) )).
% 13.05/13.28 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u17952) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17952), hAPP(_u17953, _u17954)), hAPP(_u17953, _u17955))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17956, _u17952, _u17953), _u17954), hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), _u17957)) = hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17956, _u17952, _u17953), _u17954), _u17957))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17961), hAPP(hAPP(c_List_Olist_OCons(_u17961), _u17963), _u17965))) | ~hBOOL(hAPP(hAPP(c_member(_u17961), _u17963), hAPP(c_List_Oset(_u17961), _u17965))) )).
% 13.05/13.28 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17961), hAPP(hAPP(c_List_Olist_OCons(_u17961), _u17963), _u17965))) | hBOOL(hAPP(c_List_Odistinct(_u17961), _u17965)) )).
% 13.05/13.28 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17962), _u17964), hAPP(c_List_Oset(_u17962), _u17966))) | ~hBOOL(hAPP(c_List_Odistinct(_u17962), _u17966)) | hBOOL(hAPP(c_List_Odistinct(_u17962), hAPP(hAPP(c_List_Olist_OCons(_u17962), _u17964), _u17966))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of__Cons__code_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of__Cons__code_I2_J-1, axiom, ( ( _u17973 != _u17975) | ( hAPP(c_Map_Omap__of(_u17977, _u17979, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17977, _u17979)), hAPP(hAPP(c_Product__Type_OPair(_u17977, _u17979), _u17973), _u17981)), _u17983)), _u17975) = hAPP(c_Option_Ooption_OSome(_u17979), _u17981)) )).
% 13.05/13.28 cnf(fact_map__of__Cons__code_I2_J-2, axiom, ( ( _u17974 = _u17976) | ( hAPP(c_Map_Omap__of(_u17978, _u17980, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17978, _u17980)), hAPP(hAPP(c_Product__Type_OPair(_u17978, _u17980), _u17974), _u17982)), _u17984)), _u17976) = hAPP(c_Map_Omap__of(_u17978, _u17980, _u17984), _u17976)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17985)), hAPP(hAPP(c_List_Olist_OCons(_u17985), _u17986), _u17987)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17985)), _u17987)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17988, _u17988)), hAPP(hAPP(c_Product__Type_OPair(_u17988, _u17988), _u17989), _u17990)), _u17991)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17988), tc_List_Olist(_u17988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17988), tc_List_Olist(_u17988)), _u17992), _u17993)), c_List_Olistrel(_u17988, _u17991))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17988), tc_List_Olist(_u17988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17988), tc_List_Olist(_u17988)), hAPP(hAPP(c_List_Olist_OCons(_u17988), _u17989), _u17992)), hAPP(hAPP(c_List_Olist_OCons(_u17988), _u17990), _u17993))), c_List_Olistrel(_u17988, _u17991))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_map__of_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_map__of_Osimps_I2_J-1, axiom, ( ( c_Map_Omap__of(_u17994, _u17995, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17994, _u17995)), _u17996), _u17997)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17994, tc_Option_Ooption(_u17995)), c_Map_Omap__of(_u17994, _u17995, _u17997)), hAPP(c_Product__Type_Ofst(_u17994, _u17995), _u17996)), hAPP(c_Option_Ooption_OSome(_u17995), hAPP(c_Product__Type_Osnd(_u17994, _u17995), _u17996)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18004, _u18004)), hAPP(hAPP(c_Product__Type_OPair(_u18004, _u18004), _u18006), _u18010)), _u18014)) | ( _u18006 = _u18010) )).
% 13.05/13.28 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18004, _u18004)), hAPP(hAPP(c_Product__Type_OPair(_u18004, _u18004), _u18006), _u18010)), _u18014)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), _u18008), _u18012)), c_List_Olex(_u18004, _u18014))) )).
% 13.05/13.28 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18008) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18012)) | ( _u18006 = _u18010) )).
% 13.05/13.28 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18008) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18012)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), _u18008), _u18012)), c_List_Olex(_u18004, _u18014))) )).
% 13.05/13.28 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18005), tc_List_Olist(_u18005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18005), tc_List_Olist(_u18005)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18007), _u18009)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18011), _u18013))), c_List_Olex(_u18005, _u18015))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18005, _u18005)), hAPP(hAPP(c_Product__Type_OPair(_u18005, _u18005), _u18007), _u18011)), _u18015)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), _u18009) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), _u18013)) )).
% 13.05/13.28 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18005), tc_List_Olist(_u18005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18005), tc_List_Olist(_u18005)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18007), _u18009)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18011), _u18013))), c_List_Olex(_u18005, _u18015))) | ( _u18007 != _u18011) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18005), tc_List_Olist(_u18005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18005), tc_List_Olist(_u18005)), _u18009), _u18013)), c_List_Olex(_u18005, _u18015))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18016), tc_List_Olist(_u18016), c_List_Olistrel(_u18016, _u18017)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18016)), hAPP(hAPP(c_List_Olist_OCons(_u18016), _u18018), _u18019)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18016), tc_HOL_Obool)))) = c_List_Oset__Cons(_u18016, hAPP(c_Relation_OImage(_u18016, _u18016, _u18017), hAPP(hAPP(c_Set_Oinsert(_u18016), _u18018), c_Orderings_Obot__class_Obot(tc_fun(_u18016, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u18016), tc_List_Olist(_u18016), c_List_Olistrel(_u18016, _u18017)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18016)), _u18019), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18016), tc_HOL_Obool)))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u18020, _u18021, _u18022) = hAPP(c_Set_OCollect(tc_List_Olist(_u18020)), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u18020)), c_HOL_OEx(_u18020)), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_HOL_Obool), tc_List_Olist(_u18020)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_HOL_Obool, _u18020), c_HOL_OEx(tc_List_Olist(_u18020)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18020), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_fun(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_List_Olist(_u18020)), c_COMBS(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u18020, tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_List_Olist(_u18020)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), _u18020), c_COMBS(tc_List_Olist(_u18020), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u18020)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u18020), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18020)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18020), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020))), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020)), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020))), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_List_Olist(_u18020)), c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020)), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), _u18020)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020)), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_List_Olist(_u18020)), c_COMBB(tc_List_Olist(_u18020), tc_HOL_Obool, tc_List_Olist(_u18020))), c_fequal))), c_List_Olist_OCons(_u18020)))))), hAPP(hAPP(c_COMBC(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), _u18020), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18020))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18020), c_fconj), hAPP(hAPP(c_COMBC(_u18020, tc_fun(_u18020, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18020)), _u18021)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18020), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18020))), _u18022))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), _u18026), hAPP(hAPP(c_List_Olist_OCons(_u18025), _u18027), _u18028))), c_List_Olistrel(_u18025, _u18029))) | ( _u18026 = hAPP(hAPP(c_List_Olist_OCons(_u18025), skolem456(_u18029, _u18028, _u18027, _u18026, _u18025)), skolem457(_u18029, _u18028, _u18027, _u18026, _u18025))) )).
% 13.05/13.28 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), _u18026), hAPP(hAPP(c_List_Olist_OCons(_u18025), _u18027), _u18028))), c_List_Olistrel(_u18025, _u18029))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18025, _u18025)), hAPP(hAPP(c_Product__Type_OPair(_u18025, _u18025), skolem456(_u18029, _u18028, _u18027, _u18026, _u18025)), _u18027)), _u18029)) )).
% 13.05/13.28 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), _u18026), hAPP(hAPP(c_List_Olist_OCons(_u18025), _u18027), _u18028))), c_List_Olistrel(_u18025, _u18029))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), skolem457(_u18029, _u18028, _u18027, _u18026, _u18025)), _u18028)), c_List_Olistrel(_u18025, _u18029))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18033), _u18034)), _u18035)), c_List_Olistrel(_u18032, _u18036))) | ( _u18035 = hAPP(hAPP(c_List_Olist_OCons(_u18032), skolem458(_u18036, _u18035, _u18034, _u18033, _u18032)), skolem459(_u18036, _u18035, _u18034, _u18033, _u18032))) )).
% 13.05/13.28 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18033), _u18034)), _u18035)), c_List_Olistrel(_u18032, _u18036))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18032, _u18032)), hAPP(hAPP(c_Product__Type_OPair(_u18032, _u18032), _u18033), skolem458(_u18036, _u18035, _u18034, _u18033, _u18032))), _u18036)) )).
% 13.05/13.28 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18033), _u18034)), _u18035)), c_List_Olistrel(_u18032, _u18036))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), _u18034), skolem459(_u18036, _u18035, _u18034, _u18033, _u18032))), c_List_Olistrel(_u18032, _u18036))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18037)), c_List_Osublist(_u18037, _u18038, _u18039)) = 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(_u18037)), _u18038)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18039))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18044), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18046), _u18048))) | ( hAPP(c_Random_Opick(_u18046, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18046)), _u18048), _u18050)), _u18044) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18046), _u18048)) )).
% 13.05/13.28 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18045), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18047), _u18049))) | ( hAPP(c_Random_Opick(_u18047, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18047)), _u18049), _u18051)), _u18045) = hAPP(c_Random_Opick(_u18047, _u18051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18045), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18047), _u18049)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18052), _u18053)) | hBOOL(hAPP(c_List_Odistinct(_u18052), c_List_Osublist(_u18052, _u18053, _u18054))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18055), _u18056), hAPP(c_List_Oset(_u18055), c_List_Osublist(_u18055, _u18057, _u18058)))) | hBOOL(hAPP(hAPP(c_member(_u18055), _u18056), hAPP(c_List_Oset(_u18055), _u18057))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18059), _u18060), hAPP(c_List_Oset(_u18059), _u18061))) | ~hBOOL(hAPP(hAPP(c_member(_u18059), _u18060), hAPP(c_List_Oset(_u18059), c_List_Osublist(_u18059, _u18061, _u18062)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18063, tc_HOL_Obool)), hAPP(c_List_Oset(_u18063), c_List_Osublist(_u18063, _u18064, _u18065))), hAPP(c_List_Oset(_u18063), _u18064))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u18066, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18066)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18066), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u18067)), _u18068)) = c_Random_Oselect__weight(_u18066, _u18068)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18069), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18070), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18070)), _u18071)))) | hBOOL(hAPP(hAPP(c_member(_u18070), hAPP(c_Random_Opick(_u18070, _u18071), _u18069)), hAPP(c_List_Oset(_u18070), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18070), _u18070), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18070)), _u18071)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u18072) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18072), hAPP(hAPP(c_List_Olist_OCons(_u18072), _u18073), _u18074)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18072), _u18073), hAPP(c_List_Omonoid__add__class_Olistsum(_u18072), _u18074))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u18075) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18075), hAPP(hAPP(c_List_Omap(_u18076, _u18075), hAPP(hAPP(c_COMBS(_u18076, _u18075, _u18075), hAPP(hAPP(c_COMBB(_u18075, tc_fun(_u18075, _u18075), _u18076), c_Groups_Ominus__class_Ominus(_u18075)), _u18077)), _u18078)), _u18079)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u18075), hAPP(c_List_Omonoid__add__class_Olistsum(_u18075), hAPP(hAPP(c_List_Omap(_u18076, _u18075), _u18077), _u18079))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18075), hAPP(hAPP(c_List_Omap(_u18076, _u18075), _u18078), _u18079)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), hAPP(hAPP(c_COMBS(_u18081, _u18080, _u18080), hAPP(hAPP(c_COMBB(_u18080, tc_fun(_u18080, _u18080), _u18081), c_Groups_Oplus__class_Oplus(_u18080)), _u18082)), _u18083)), _u18084)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18080), hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18082), _u18084))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18083), _u18084)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u18085) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18085), hAPP(hAPP(c_List_Omap(_u18086, _u18085), hAPP(hAPP(c_COMBB(_u18085, _u18085, _u18086), hAPP(c_Groups_Otimes__class_Otimes(_u18085), _u18087)), _u18088)), _u18089)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18085), _u18087), hAPP(c_List_Omonoid__add__class_Olistsum(_u18085), hAPP(hAPP(c_List_Omap(_u18086, _u18085), _u18088), _u18089)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u18090) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18090), hAPP(hAPP(c_List_Omap(_u18091, _u18090), hAPP(hAPP(c_COMBC(_u18091, _u18090, _u18090), hAPP(hAPP(c_COMBB(_u18090, tc_fun(_u18090, _u18090), _u18091), c_Groups_Otimes__class_Otimes(_u18090)), _u18092)), _u18093)), _u18094)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18090), hAPP(c_List_Omonoid__add__class_Olistsum(_u18090), hAPP(hAPP(c_List_Omap(_u18091, _u18090), _u18092), _u18094))), _u18093)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u18095) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18095), hAPP(hAPP(c_List_Omap(_u18096, _u18095), hAPP(c_COMBK(_u18095, _u18096), c_Groups_Ozero__class_Ozero(_u18095))), _u18097)) = c_Groups_Ozero__class_Ozero(_u18095)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u18098) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18098), hAPP(c_Groups_Oabs__class_Oabs(_u18098), hAPP(c_List_Omonoid__add__class_Olistsum(_u18098), _u18099))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18098), hAPP(hAPP(c_List_Omap(_u18098, _u18098), c_Groups_Oabs__class_Oabs(_u18098)), _u18099)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u18100) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u18100), hAPP(c_List_Omonoid__add__class_Olistsum(_u18100), hAPP(hAPP(c_List_Omap(_u18101, _u18100), _u18102), _u18103))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18100), hAPP(hAPP(c_List_Omap(_u18101, _u18100), hAPP(c_Fun_Ocomp(_u18100, _u18100, _u18101, c_Groups_Ouminus__class_Ouminus(_u18100)), _u18102)), _u18103))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18104) | ~hBOOL(hAPP(c_List_Odistinct(_u18104), _u18105)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18104), _u18105) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18104, _u18104), c_COMBI(_u18104)), hAPP(c_List_Oset(_u18104), _u18105))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u18106, _u18107) = 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(_u18106, 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, _u18106), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18106)), _u18107)))), hAPP(hAPP(c_COMBB(_u18106, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18106, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18106, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u18106, _u18107)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18108) | ~hBOOL(hAPP(c_List_Odistinct(_u18109), _u18110)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18108), hAPP(hAPP(c_List_Omap(_u18109, _u18108), _u18111), _u18110)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18109, _u18108), _u18111), hAPP(c_List_Oset(_u18109), _u18110))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18112) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18112), _u18113), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18114, _u18115))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18112), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18112), _u18113), c_List_Oupto(_u18114, _u18115)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18116) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18116), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18116), _u18117), c_List_Oupto(_u18118, _u18119))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18116), _u18117), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18118, _u18119)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u18120) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18120), hAPP(hAPP(c_List_Omap(_u18121, _u18120), hAPP(c_COMBK(_u18120, _u18121), _u18122)), _u18123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18120), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u18120), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18121)), _u18123))), _u18122)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18124) | ~hBOOL(hAPP(hAPP(c_member(_u18125), _u18126), hAPP(c_List_Oset(_u18125), _u18127))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18124), hAPP(hAPP(c_List_Omap(_u18125, _u18124), _u18128), _u18127)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18124), hAPP(_u18128, _u18126)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18124), hAPP(hAPP(c_List_Omap(_u18125, _u18124), _u18128), c_List_Oremove1(_u18125, _u18126, _u18127))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 13.05/13.28 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, _u18129), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18129)), _u18130)))) | hBOOL(hAPP(hAPP(c_member(_u18129), hAPP(c_Product__Type_Ofst(_u18129, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u18129, _u18130), _u18131))), hAPP(c_List_Oset(_u18129), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18129), _u18129), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18129)), _u18130)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18132) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18133), _u18134)) | ( c_Nitpick_Osetsum_H(_u18133, _u18132, _u18135, _u18134) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18132), hAPP(hAPP(c_List_Omap(_u18133, _u18132), _u18135), c_Hilbert__Choice_OEps(tc_List_Olist(_u18133), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18133), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18133)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18133), tc_fun(_u18133, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18133, tc_HOL_Obool), tc_fun(tc_fun(_u18133, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18133)), c_fequal), c_List_Oset(_u18133))), _u18134))), c_List_Odistinct(_u18133)))))) )).
% 13.05/13.28 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18132) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18133), _u18134)) | ( c_Nitpick_Osetsum_H(_u18133, _u18132, _u18135, _u18134) = c_Groups_Ozero__class_Ozero(_u18132)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18136) | hBOOL(hAPP(hAPP(c_member(_u18136), hAPP(_u18137, _u18138)), hAPP(c_Set_Oimage(_u18139, _u18136, _u18137), hAPP(c_List_Oset(_u18139), _u18140)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18139, _u18136, _u18137, _u18138, _u18140) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18139, _u18136, _u18137), _u18138), _u18140)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18144) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18141), hAPP(c_List_Oset(tc_Nat_Onat), _u18144))) | ( _u18141 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.28 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18145) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem460(_u18145)), hAPP(c_List_Oset(tc_Nat_Onat), _u18145))) )).
% 13.05/13.28 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18145) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem460(_u18145) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18146) | ~hBOOL(hAPP(c_List_Odistinct(_u18147), _u18148)) | hBOOL(hAPP(c_List_Odistinct(_u18147), c_List_Olinorder__class_Oinsort__insert__key(_u18147, _u18146, _u18149, _u18150, _u18148))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18151) | ~hBOOL(hAPP(hAPP(c_member(_u18151), _u18152), hAPP(c_List_Oset(_u18151), _u18153))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18151, _u18151, c_COMBI(_u18151), _u18152, _u18153) = _u18153) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18154) | ( hAPP(c_List_Oset(_u18154), c_List_Olinorder__class_Oinsort__insert__key(_u18154, _u18154, c_COMBI(_u18154), _u18155, _u18156)) = hAPP(hAPP(c_Set_Oinsert(_u18154), _u18155), hAPP(c_List_Oset(_u18154), _u18156))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18157) | ~hBOOL(hAPP(hAPP(c_member(_u18157), hAPP(_u18158, _u18159)), hAPP(c_Set_Oimage(_u18160, _u18157, _u18158), hAPP(c_List_Oset(_u18160), _u18161)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18160, _u18157, _u18158, _u18159, _u18161) = _u18161) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18162) | hBOOL(hAPP(hAPP(c_member(_u18162), _u18163), hAPP(c_List_Oset(_u18162), _u18164))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18162, _u18162, c_COMBI(_u18162), _u18163, _u18164) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18162, _u18162, c_COMBI(_u18162)), _u18163), _u18164)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18171), tc_List_Olist(_u18171))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18171), tc_List_Olist(_u18171)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18173), _u18175)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18177), _u18179))), c_List_Olexord(_u18171, _u18181))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18171, _u18171)), hAPP(hAPP(c_Product__Type_OPair(_u18171, _u18171), _u18173), _u18177)), _u18181)) | ( _u18173 = _u18177) )).
% 13.05/13.28 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18171), tc_List_Olist(_u18171))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18171), tc_List_Olist(_u18171)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18173), _u18175)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18177), _u18179))), c_List_Olexord(_u18171, _u18181))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18171, _u18171)), hAPP(hAPP(c_Product__Type_OPair(_u18171, _u18171), _u18173), _u18177)), _u18181)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18171), tc_List_Olist(_u18171))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18171), tc_List_Olist(_u18171)), _u18175), _u18179)), c_List_Olexord(_u18171, _u18181))) )).
% 13.05/13.28 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18172), tc_List_Olist(_u18172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18172), tc_List_Olist(_u18172)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18174), _u18176)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18178), _u18180))), c_List_Olexord(_u18172, _u18182))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18172, _u18172)), hAPP(hAPP(c_Product__Type_OPair(_u18172, _u18172), _u18174), _u18178)), _u18182)) )).
% 13.05/13.28 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18172), tc_List_Olist(_u18172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18172), tc_List_Olist(_u18172)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18174), _u18176)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18178), _u18180))), c_List_Olexord(_u18172, _u18182))) | ( _u18174 != _u18178) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18172), tc_List_Olist(_u18172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18172), tc_List_Olist(_u18172)), _u18176), _u18180)), c_List_Olexord(_u18172, _u18182))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u18183, _u18184)), hAPP(hAPP(c_List_Ozip(_u18183, _u18184), _u18185), _u18186)) = hAPP(c_Set_OCollect(tc_prod(_u18183, _u18184)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u18183, _u18184)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18183, _u18184), 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(_u18183, _u18184)), 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(_u18183, _u18184)), 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(_u18183, _u18184), tc_fun(tc_Nat_Onat, tc_prod(_u18183, _u18184)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18183, _u18184), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u18183, _u18184)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u18183, _u18184)), c_COMBB(tc_prod(_u18183, _u18184), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u18184, tc_prod(_u18183, _u18184)), hAPP(hAPP(c_COMBB(_u18183, tc_fun(_u18184, tc_prod(_u18183, _u18184)), tc_Nat_Onat), c_Product__Type_OPair(_u18183, _u18184)), hAPP(c_List_Onth(_u18183), _u18185))), hAPP(c_List_Onth(_u18184), _u18186)))))), 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(_u18183)), _u18185)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18184)), _u18186))))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18187), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18188)), _u18189))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18187), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18190)), _u18191))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u18188, _u18190)), hAPP(hAPP(c_List_Ozip(_u18188, _u18190), _u18189), _u18191)), _u18187) = hAPP(hAPP(c_Product__Type_OPair(_u18188, _u18190), hAPP(hAPP(c_List_Onth(_u18188), _u18189), _u18187)), hAPP(hAPP(c_List_Onth(_u18190), _u18191), _u18187))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18192), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18193)), _u18194))) | ( hAPP(hAPP(c_List_Onth(_u18195), hAPP(hAPP(c_List_Omap(_u18193, _u18195), _u18196), _u18194)), _u18192) = hAPP(_u18196, hAPP(hAPP(c_List_Onth(_u18193), _u18194), _u18192))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18197), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18198))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18198), _u18197)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18198))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18199), hAPP(hAPP(c_List_Olist_OCons(_u18199), _u18200), _u18201)), _u18202) = c_Nat_Onat_Onat__case(_u18199, _u18200, hAPP(c_List_Onth(_u18199), _u18201), _u18202)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18203), hAPP(hAPP(c_List_Olist_OCons(_u18203), _u18204), _u18205)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u18204) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18206), hAPP(hAPP(c_List_Olist_OCons(_u18206), _u18207), _u18208)), hAPP(c_Nat_OSuc, _u18209)) = hAPP(hAPP(c_List_Onth(_u18206), _u18208), _u18209)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18211), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18217)), _u18219))) | hBOOL(hAPP(_u18221, hAPP(hAPP(c_List_Onth(_u18217), _u18219), _u18211))) | hBOOL(hAPP(hAPP(c_member(_u18217), skolem461(_u18221, _u18219, _u18217)), hAPP(c_List_Oset(_u18217), _u18219))) )).
% 13.05/13.28 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18211), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18217)), _u18219))) | hBOOL(hAPP(_u18221, hAPP(hAPP(c_List_Onth(_u18217), _u18219), _u18211))) | ~hBOOL(hAPP(_u18221, skolem461(_u18221, _u18219, _u18217))) )).
% 13.05/13.28 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18218), _u18213), hAPP(c_List_Oset(_u18218), _u18220))) | hBOOL(hAPP(_u18222, _u18213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18222, _u18220, _u18218)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18218)), _u18220))) )).
% 13.05/13.28 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18218), _u18213), hAPP(c_List_Oset(_u18218), _u18220))) | hBOOL(hAPP(_u18222, _u18213)) | ~hBOOL(hAPP(_u18222, hAPP(hAPP(c_List_Onth(_u18218), _u18220), skolem462(_u18222, _u18220, _u18218)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u18228 != _u18230) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18228) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18230)) )).
% 13.05/13.28 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u18228 != _u18230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18223), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18228))) | ( hAPP(hAPP(c_List_Onth(_u18232), _u18228), _u18223) = hAPP(hAPP(c_List_Onth(_u18232), _u18230), _u18223)) )).
% 13.05/13.28 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u18229 = _u18231) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18229) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18233, _u18231, _u18229)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18229))) )).
% 13.05/13.28 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u18229 = _u18231) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18229) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18231)) | ( hAPP(hAPP(c_List_Onth(_u18233), _u18229), skolem463(_u18233, _u18231, _u18229)) != hAPP(hAPP(c_List_Onth(_u18233), _u18231), skolem463(_u18233, _u18231, _u18229))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18240), _u18242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18235), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18240)), _u18242))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18234), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18240)), _u18242))) | ( _u18235 = _u18234) | ( hAPP(hAPP(c_List_Onth(_u18240), _u18242), _u18235) != hAPP(hAPP(c_List_Onth(_u18240), _u18242), _u18234)) )).
% 13.05/13.28 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18243, _u18241)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18241)), _u18243))) )).
% 13.05/13.28 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18243, _u18241)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18241)), _u18243))) )).
% 13.05/13.28 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | ( skolem464(_u18243, _u18241) != skolem465(_u18243, _u18241)) )).
% 13.05/13.28 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | ( hAPP(hAPP(c_List_Onth(_u18241), _u18243), skolem464(_u18243, _u18241)) = hAPP(hAPP(c_List_Onth(_u18241), _u18243), skolem465(_u18243, _u18241))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18244), _u18245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18246), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18247), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ( hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18246) != hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18247)) | ( _u18246 = _u18247) )).
% 13.05/13.28 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18244), _u18245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18246), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18247), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ( _u18246 != _u18247) | ( hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18246) = hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18247)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18248), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18249)), _u18250))) | hBOOL(hAPP(hAPP(c_member(_u18249), hAPP(hAPP(c_List_Onth(_u18249), _u18250), _u18248)), hAPP(c_List_Oset(_u18249), _u18250))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18256), _u18258), hAPP(c_List_Oset(_u18256), _u18260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18260, _u18258, _u18256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18256)), _u18260))) )).
% 13.05/13.28 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18256), _u18258), hAPP(c_List_Oset(_u18256), _u18260))) | ( hAPP(hAPP(c_List_Onth(_u18256), _u18260), skolem466(_u18260, _u18258, _u18256)) = _u18258) )).
% 13.05/13.28 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18252), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18257)), _u18261))) | ( hAPP(hAPP(c_List_Onth(_u18257), _u18261), _u18252) != _u18259) | hBOOL(hAPP(hAPP(c_member(_u18257), _u18259), hAPP(c_List_Oset(_u18257), _u18261))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__Cons_H-1, axiom, ( ( _u18266 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18268), hAPP(hAPP(c_List_Olist_OCons(_u18268), _u18270), _u18272)), _u18266) = _u18270) )).
% 13.05/13.28 cnf(fact_nth__Cons_H-2, axiom, ( ( _u18267 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18269), hAPP(hAPP(c_List_Olist_OCons(_u18269), _u18271), _u18273)), _u18267) = hAPP(hAPP(c_List_Onth(_u18269), _u18273), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18267), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u18274), _u18275) = hAPP(c_Set_OCollect(_u18274), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18274), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18274, 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)), _u18274), 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)), _u18274), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18274, tc_fun(tc_Nat_Onat, _u18274), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18274, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18274), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18274), c_COMBB(_u18274, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18274), _u18275))))), 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(_u18274)), _u18275)))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18280) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18282), hAPP(hAPP(c_List_Olist_OCons(_u18282), _u18284), _u18286)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18280)) = _u18284) )).
% 13.05/13.28 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18281) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18283), hAPP(hAPP(c_List_Olist_OCons(_u18283), _u18285), _u18287)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18281)) = hAPP(hAPP(c_List_Onth(_u18283), _u18287), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18281)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18288) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18288), _u18289) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18288), hAPP(c_List_Onth(_u18288), _u18289)), 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(_u18288)), _u18289)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u18290), c_List_Osublist(_u18290, _u18291, _u18292)) = hAPP(c_Set_OCollect(_u18290), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18290), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18290, 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)), _u18290), 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)), _u18290), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18290, tc_fun(tc_Nat_Onat, _u18290), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18290, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18290), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18290), c_COMBB(_u18290, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18290), _u18291))))), 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(_u18290)), _u18291)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18292)))))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18297), tc_List_Olist(_u18297))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18297), tc_List_Olist(_u18297)), _u18299), _u18301)), c_List_Olex(_u18297, _u18303))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18297), tc_List_Olist(_u18297))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18297), tc_List_Olist(_u18297)), _u18299), _u18301)), c_List_Olexord(_u18297, _u18303))) )).
% 13.05/13.28 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18297), tc_List_Olist(_u18297))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18297), tc_List_Olist(_u18297)), _u18299), _u18301)), c_List_Olex(_u18297, _u18303))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18299) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18301)) )).
% 13.05/13.28 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18298), tc_List_Olist(_u18298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18298), tc_List_Olist(_u18298)), _u18300), _u18302)), c_List_Olexord(_u18298, _u18304))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18298)), _u18300) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18298)), _u18302)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18298), tc_List_Olist(_u18298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18298), tc_List_Olist(_u18298)), _u18300), _u18302)), c_List_Olex(_u18298, _u18304))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18313), _u18315)), c_List_Olistrel(_u18311, _u18317))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18313) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18315)) )).
% 13.05/13.28 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18313), _u18315)), c_List_Olistrel(_u18311, _u18317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18305), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18313))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18311, _u18311)), hAPP(hAPP(c_Product__Type_OPair(_u18311, _u18311), hAPP(hAPP(c_List_Onth(_u18311), _u18313), _u18305)), hAPP(hAPP(c_List_Onth(_u18311), _u18315), _u18305))), _u18317)) )).
% 13.05/13.28 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), _u18314), _u18316)), c_List_Olistrel(_u18312, _u18318))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18314) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem467(_u18318, _u18316, _u18314, _u18312)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18314))) )).
% 13.05/13.28 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), _u18314), _u18316)), c_List_Olistrel(_u18312, _u18318))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18314) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18316)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18312, _u18312)), hAPP(hAPP(c_Product__Type_OPair(_u18312, _u18312), hAPP(hAPP(c_List_Onth(_u18312), _u18314), skolem467(_u18318, _u18316, _u18314, _u18312))), hAPP(hAPP(c_List_Onth(_u18312), _u18316), skolem467(_u18318, _u18316, _u18314, _u18312)))), _u18318)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18319), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18320)), _u18321))) | ( hAPP(c_Random_Opick(_u18320, hAPP(hAPP(c_List_Omap(_u18320, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18320)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18320), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18321)), hAPP(c_Code__Numeral_Oof__nat, _u18319)) = hAPP(hAPP(c_List_Onth(_u18320), _u18321), _u18319)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_select__def ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u18322, _u18323) = 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(_u18322, 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(_u18322)), _u18323)))), hAPP(hAPP(c_COMBB(_u18322, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18322, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18322, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u18322, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u18322), _u18323)), c_Code__Numeral_Onat__of)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u18336, _u18334, _u18332, _u18330)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334)))) )).
% 13.05/13.28 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334))) | ( hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18332) = hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18334)) )).
% 13.05/13.28 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18330, _u18330)), hAPP(hAPP(c_Product__Type_OPair(_u18330, _u18330), hAPP(hAPP(c_List_Onth(_u18330), _u18332), skolem468(_u18336, _u18334, _u18332, _u18330))), hAPP(hAPP(c_List_Onth(_u18330), _u18334), skolem468(_u18336, _u18334, _u18332, _u18330)))), _u18336)) )).
% 13.05/13.28 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | ( hAPP(hAPP(c_List_Otake(_u18330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), _u18334) = _u18332) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u18336, _u18334, _u18332, _u18330)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334)))) )).
% 13.05/13.28 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | ( hAPP(hAPP(c_List_Otake(_u18330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), _u18334) = _u18332) | ( hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18332) = hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18334)) )).
% 13.05/13.28 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | ( hAPP(hAPP(c_List_Otake(_u18330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), _u18334) = _u18332) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18330, _u18330)), hAPP(hAPP(c_Product__Type_OPair(_u18330, _u18330), hAPP(hAPP(c_List_Onth(_u18330), _u18332), skolem468(_u18336, _u18334, _u18332, _u18330))), hAPP(hAPP(c_List_Onth(_u18330), _u18334), skolem468(_u18336, _u18334, _u18332, _u18330)))), _u18336)) )).
% 13.05/13.28 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18331), tc_List_Olist(_u18331))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18331), tc_List_Olist(_u18331)), _u18333), _u18335)), c_List_Olexord(_u18331, _u18337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18333)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18335))) | ( hAPP(hAPP(c_List_Otake(_u18331), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18333)), _u18335) != _u18333) )).
% 13.05/13.28 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18331), tc_List_Olist(_u18331))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18331), tc_List_Olist(_u18331)), _u18333), _u18335)), c_List_Olexord(_u18331, _u18337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18325), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18333)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18335)))) | ( hAPP(hAPP(c_List_Otake(_u18331), _u18325), _u18333) != hAPP(hAPP(c_List_Otake(_u18331), _u18325), _u18335)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18331, _u18331)), hAPP(hAPP(c_Product__Type_OPair(_u18331, _u18331), hAPP(hAPP(c_List_Onth(_u18331), _u18333), _u18325)), hAPP(hAPP(c_List_Onth(_u18331), _u18335), _u18325))), _u18337)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18338), _u18339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18340, tc_HOL_Obool)), hAPP(c_List_Oset(_u18340), hAPP(hAPP(c_List_Otake(_u18340), _u18338), _u18341))), hAPP(c_List_Oset(_u18340), hAPP(hAPP(c_List_Otake(_u18340), _u18339), _u18341)))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18342), _u18343), hAPP(c_List_Oset(_u18342), hAPP(hAPP(c_List_Otake(_u18342), _u18344), _u18345)))) | hBOOL(hAPP(hAPP(c_member(_u18342), _u18343), hAPP(c_List_Oset(_u18342), _u18345))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18346), _u18347)) | ( hAPP(hAPP(c_List_Onth(_u18348), hAPP(hAPP(c_List_Otake(_u18348), _u18347), _u18349)), _u18346) = hAPP(hAPP(c_List_Onth(_u18348), _u18349), _u18346)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18350, tc_HOL_Obool)), hAPP(c_List_Oset(_u18350), hAPP(hAPP(c_List_Otake(_u18350), _u18351), _u18352))), hAPP(c_List_Oset(_u18350), _u18352))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_take__all ( axiom ) converted to clauses:
% 13.05/13.28 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(_u18353)), _u18354)), _u18355)) | ( hAPP(hAPP(c_List_Otake(_u18353), _u18355), _u18354) = _u18354) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18356), _u18357)) | hBOOL(hAPP(c_List_Odistinct(_u18356), hAPP(hAPP(c_List_Otake(_u18356), _u18358), _u18357))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_take__take ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18359), _u18360), hAPP(hAPP(c_List_Otake(_u18359), _u18361), _u18362)) = hAPP(hAPP(c_List_Otake(_u18359), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u18360), _u18361)), _u18362)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u18363, _u18364)), _u18365), hAPP(hAPP(c_List_Ozip(_u18363, _u18364), _u18366), _u18367)) = hAPP(hAPP(c_List_Ozip(_u18363, _u18364), hAPP(hAPP(c_List_Otake(_u18363), _u18365), _u18366)), hAPP(hAPP(c_List_Otake(_u18364), _u18365), _u18367))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_length__take ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18368)), hAPP(hAPP(c_List_Otake(_u18368), _u18369), _u18370)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18368)), _u18370)), _u18369)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18371), hAPP(c_Nat_OSuc, _u18372)), hAPP(hAPP(c_List_Olist_OCons(_u18371), _u18373), _u18374)) = hAPP(hAPP(c_List_Olist_OCons(_u18371), _u18373), hAPP(hAPP(c_List_Otake(_u18371), _u18372), _u18374))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u18375, _u18376, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18377)) = hAPP(hAPP(c_List_Otake(_u18375), _u18377), _u18376)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_take__map ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18378), _u18379), hAPP(hAPP(c_List_Omap(_u18380, _u18378), _u18381), _u18382)) = hAPP(hAPP(c_List_Omap(_u18380, _u18378), _u18381), hAPP(hAPP(c_List_Otake(_u18380), _u18379), _u18382))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18383), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18384))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u18384), _u18383), _u18385)) = 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), _u18384)), _u18385)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18384), _u18383))) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_select__weigth__select-1, axiom, ( ( _u18386 = c_List_Olist_ONil(_u18387)) | ( c_Random_Oselect__weight(_u18387, hAPP(hAPP(c_List_Omap(_u18387, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18387)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18387), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18386)) = c_Random_Oselect(_u18387, _u18386)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18388), tc_List_Olist(_u18388))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18388), tc_List_Olist(_u18388)), _u18389), c_List_Olist_ONil(_u18388))), c_List_Olistrel(_u18388, _u18390))) | ( _u18389 = c_List_Olist_ONil(_u18388)) )).
% 13.05/13.28
% 13.05/13.28 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 13.05/13.28 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18391), tc_List_Olist(_u18391))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18391), tc_List_Olist(_u18391)), c_List_Olist_ONil(_u18391)), _u18392)), c_List_Olistrel(_u18391, _u18393))) | ( _u18392 = c_List_Olist_ONil(_u18391)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18394, _u18395), _u18396), hAPP(hAPP(c_List_Onth(_u18394), _u18395), _u18396)) = _u18395) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u18397 = _u18398) | ( hAPP(hAPP(c_List_Onth(_u18399), hAPP(hAPP(c_List_Olist__update(_u18399, _u18400), _u18397), _u18401)), _u18398) = hAPP(hAPP(c_List_Onth(_u18399), _u18400), _u18398)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 13.05/13.29 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(_u18402)), _u18403)), _u18404)) | ( hAPP(hAPP(c_List_Olist__update(_u18402, _u18403), _u18404), _u18405) = _u18403) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18409), _u18411), _u18413) != c_List_Olist_ONil(_u18409)) | ( _u18411 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18413 = c_List_Olist_ONil(_u18409)) )).
% 13.05/13.29 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18410), _u18412), _u18414) = c_List_Olist_ONil(_u18410)) | ( _u18412 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.29 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18410), _u18412), _u18414) = c_List_Olist_ONil(_u18410)) | ( _u18414 != c_List_Olist_ONil(_u18410)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18415), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18416) = c_List_Olist_ONil(_u18415)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18417), _u18418), c_List_Olist_ONil(_u18417)) = c_List_Olist_ONil(_u18417)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18419)), c_List_Olist_ONil(_u18419)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18422)), _u18424) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18424 = c_List_Olist_ONil(_u18422)) )).
% 13.05/13.29 cnf(fact_length__0__conv-2, axiom, ( ( _u18425 != c_List_Olist_ONil(_u18423)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18423)), _u18425) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18426)), hAPP(hAPP(c_List_Olist__update(_u18426, _u18427), _u18428), _u18429)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18426)), _u18427)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18430), _u18431), hAPP(hAPP(c_List_Olist_OCons(_u18430), _u18432), _u18433)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18430), c_List_Olist_ONil(_u18430), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18430), tc_List_Olist(_u18430), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18430), _u18432)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u18430), tc_List_Olist(_u18430)), c_List_Otake(_u18430)), _u18433)), _u18431)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u18444 = c_List_Olist_ONil(_u18440)) | ( c_List_Olist_ONil(_u18438) != hAPP(hAPP(c_List_Omap(_u18440, _u18438), _u18442), _u18444)) )).
% 13.05/13.29 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u18445 != c_List_Olist_ONil(_u18441)) | ( c_List_Olist_ONil(_u18439) = hAPP(hAPP(c_List_Omap(_u18441, _u18439), _u18443), _u18445)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18446, _u18447), _u18448), c_List_Olist_ONil(_u18446)) = c_List_Olist_ONil(_u18447)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__update ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18449, _u18450), _u18451), hAPP(hAPP(c_List_Olist__update(_u18449, _u18452), _u18453), _u18454)) = hAPP(hAPP(c_List_Olist__update(_u18450, hAPP(hAPP(c_List_Omap(_u18449, _u18450), _u18451), _u18452)), _u18453), hAPP(_u18451, _u18454))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18459, _u18461), _u18463), _u18465) != c_List_Olist_ONil(_u18461)) | ( _u18465 = c_List_Olist_ONil(_u18459)) )).
% 13.05/13.29 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u18466 != c_List_Olist_ONil(_u18460)) | ( hAPP(hAPP(c_List_Omap(_u18460, _u18462), _u18464), _u18466) = c_List_Olist_ONil(_u18462)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18467, _u18468), hAPP(hAPP(c_List_Olist__update(_u18467, _u18469), _u18470), _u18471)), hAPP(hAPP(c_List_Olist__update(_u18468, _u18472), _u18470), _u18473)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u18467, _u18468), hAPP(hAPP(c_List_Ozip(_u18467, _u18468), _u18469), _u18472)), _u18470), hAPP(hAPP(c_Product__Type_OPair(_u18467, _u18468), _u18471), _u18473))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u18474, _u18475), hAPP(hAPP(c_List_Ozip(_u18474, _u18475), _u18476), _u18477)), _u18478), _u18479) = hAPP(hAPP(c_List_Ozip(_u18474, _u18475), hAPP(hAPP(c_List_Olist__update(_u18474, _u18476), _u18478), hAPP(c_Product__Type_Ofst(_u18474, _u18475), _u18479))), hAPP(hAPP(c_List_Olist__update(_u18475, _u18477), _u18478), hAPP(c_Product__Type_Osnd(_u18474, _u18475), _u18479)))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u18480, c_List_Olist_ONil(_u18480), _u18481) = c_List_Olist_ONil(_u18480)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u18482, _u18483, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u18482)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18484) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18485, _u18484, _u18486), _u18487), c_List_Olist_ONil(_u18485)) = hAPP(hAPP(c_List_Olist_OCons(_u18485), _u18487), c_List_Olist_ONil(_u18485))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18488, hAPP(hAPP(c_List_Olist_OCons(_u18488), _u18489), _u18490)), _u18491), _u18492) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18488), hAPP(hAPP(c_List_Olist_OCons(_u18488), _u18492), _u18490), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18488), tc_List_Olist(_u18488), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18488), _u18489)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u18488, tc_List_Olist(_u18488)), c_List_Olist__update(_u18488, _u18490)), _u18492)), _u18491)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18493, hAPP(hAPP(c_List_Olist_OCons(_u18493), _u18494), _u18495)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18496) = hAPP(hAPP(c_List_Olist_OCons(_u18493), _u18496), _u18495)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18497, hAPP(hAPP(c_List_Olist_OCons(_u18497), _u18498), _u18499)), hAPP(c_Nat_OSuc, _u18500)), _u18501) = hAPP(hAPP(c_List_Olist_OCons(_u18497), _u18498), hAPP(hAPP(c_List_Olist__update(_u18497, _u18499), _u18500), _u18501))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18502), _u18503), _u18504) != c_List_Olist_ONil(_u18502)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u18505) != hAPP(hAPP(c_List_Olist_OCons(_u18505), _u18506), _u18507)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u18508) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18508, c_Orderings_Obot__class_Obot(tc_fun(_u18508, tc_HOL_Obool))) = c_List_Olist_ONil(_u18508)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18509, _u18510), _u18511), c_List_Olist_ONil(_u18510)) = c_List_Olist_ONil(tc_prod(_u18509, _u18510))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18512, _u18513), c_List_Olist_ONil(_u18512)), _u18514) = c_List_Olist_ONil(tc_prod(_u18512, _u18513))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u18515), _u18516)) | ( c_List_Oupto(_u18516, _u18515) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u18517, _u18518, _u18519, c_List_Olist_ONil(_u18517), _u18520) = _u18520) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__of__Cons__code_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__of__Cons__code_I1_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u18521, _u18522, c_List_Olist_ONil(tc_prod(_u18521, _u18522))), _u18523) = c_Option_Ooption_ONone(_u18522)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__of_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__of_Osimps_I1_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u18524, _u18525, c_List_Olist_ONil(tc_prod(_u18524, _u18525))), _u18526) = c_Option_Ooption_ONone(_u18525)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18531, _u18533), _u18535), _u18537) != c_List_Olist_ONil(_u18531)) | ( _u18533 = c_List_Olist_ONil(_u18531)) )).
% 13.05/13.29 cnf(fact_list__update__nonempty-2, axiom, ( ( _u18534 != c_List_Olist_ONil(_u18532)) | ( hAPP(hAPP(c_List_Olist__update(_u18532, _u18534), _u18536), _u18538) = c_List_Olist_ONil(_u18532)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18539, c_List_Olist_ONil(_u18539)), _u18540), _u18541) = c_List_Olist_ONil(_u18539)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18542, c_List_Olist_ONil(_u18542)), _u18543), _u18544) = c_List_Olist_ONil(_u18542)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18545, hAPP(hAPP(c_List_Olist__update(_u18545, _u18546), _u18547), _u18548)), _u18547), _u18549) = hAPP(hAPP(c_List_Olist__update(_u18545, _u18546), _u18547), _u18549)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__swap-1, axiom, ( ( _u18550 = _u18551) | ( hAPP(hAPP(c_List_Olist__update(_u18552, hAPP(hAPP(c_List_Olist__update(_u18552, _u18553), _u18550), _u18554)), _u18551), _u18555) = hAPP(hAPP(c_List_Olist__update(_u18552, hAPP(hAPP(c_List_Olist__update(_u18552, _u18553), _u18551), _u18555)), _u18550), _u18554)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u18556, _u18557, c_List_Olist_ONil(_u18556)) = c_List_Olist_ONil(_u18556)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18558), c_List_Olist_ONil(_u18558))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u18559) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18560, _u18559, _u18561), _u18562), _u18563) != c_List_Olist_ONil(_u18560)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u18564, _u18565, c_List_Olist_ONil(_u18564), c_List_Olist_ONil(_u18564)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u18566, _u18567, c_List_Olist_ONil(_u18566), c_List_Olist_ONil(_u18566)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u18568), c_List_Olist_ONil(_u18568)) = c_Orderings_Obot__class_Obot(tc_fun(_u18568, tc_HOL_Obool))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u18571, tc_HOL_Obool)) != hAPP(c_List_Oset(_u18571), _u18573)) | ( _u18573 = c_List_Olist_ONil(_u18571)) )).
% 13.05/13.29 cnf(fact_set__empty2-2, axiom, ( ( _u18574 != c_List_Olist_ONil(_u18572)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u18572, tc_HOL_Obool)) = hAPP(c_List_Oset(_u18572), _u18574)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u18577), _u18579) != c_Orderings_Obot__class_Obot(tc_fun(_u18577, tc_HOL_Obool))) | ( _u18579 = c_List_Olist_ONil(_u18577)) )).
% 13.05/13.29 cnf(fact_set__empty-2, axiom, ( ( _u18580 != c_List_Olist_ONil(_u18578)) | ( hAPP(c_List_Oset(_u18578), _u18580) = c_Orderings_Obot__class_Obot(tc_fun(_u18578, tc_HOL_Obool))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u18581) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18581), c_List_Olist_ONil(_u18581)) = c_Groups_Ozero__class_Ozero(_u18581)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 13.05/13.29 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(_u18584)), _u18586))) | ( _u18586 != c_List_Olist_ONil(_u18584)) )).
% 13.05/13.29 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u18587 = c_List_Olist_ONil(_u18585)) | 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(_u18585)), _u18587))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18588, tc_HOL_Obool)), hAPP(c_List_Oset(_u18588), _u18589)), _u18590)) | ~hBOOL(hAPP(hAPP(c_member(_u18588), _u18591), _u18590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18588, tc_HOL_Obool)), hAPP(c_List_Oset(_u18588), hAPP(hAPP(c_List_Olist__update(_u18588, _u18589), _u18592), _u18591))), _u18590)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18593), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u18593), _u18594), _u18595)) = hAPP(hAPP(c_List_Olist_OCons(_u18593), _u18594), c_List_Olist_ONil(_u18593))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18596, tc_HOL_Obool)), hAPP(c_List_Oset(_u18596), hAPP(hAPP(c_List_Olist__update(_u18596, _u18597), _u18598), _u18599))), hAPP(hAPP(c_Set_Oinsert(_u18596), _u18599), hAPP(c_List_Oset(_u18596), _u18597)))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18601)), _u18602))) | ( _u18600 != _u18603) | ( hAPP(hAPP(c_List_Onth(_u18601), hAPP(hAPP(c_List_Olist__update(_u18601, _u18602), _u18600), _u18604)), _u18603) = _u18604) )).
% 13.05/13.29 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18601)), _u18602))) | ( _u18600 = _u18603) | ( hAPP(hAPP(c_List_Onth(_u18601), hAPP(hAPP(c_List_Olist__update(_u18601, _u18602), _u18600), _u18604)), _u18603) = hAPP(hAPP(c_List_Onth(_u18601), _u18602), _u18603)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18606)), _u18607))) | ( hAPP(hAPP(c_List_Olist__update(_u18606, _u18607), _u18605), _u18608) != _u18607) | ( hAPP(hAPP(c_List_Onth(_u18606), _u18607), _u18605) = _u18608) )).
% 13.05/13.29 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18606)), _u18607))) | ( hAPP(hAPP(c_List_Onth(_u18606), _u18607), _u18605) != _u18608) | ( hAPP(hAPP(c_List_Olist__update(_u18606, _u18607), _u18605), _u18608) = _u18607) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18609), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18610)), _u18611))) | ( hAPP(hAPP(c_List_Onth(_u18610), hAPP(hAPP(c_List_Olist__update(_u18610, _u18611), _u18609), _u18612)), _u18609) = _u18612) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18613), tc_List_Olist(_u18613))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18613), tc_List_Olist(_u18613)), c_List_Olist_ONil(_u18613)), c_List_Olist_ONil(_u18613))), c_List_Olistrel(_u18613, _u18614))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18615), tc_List_Olist(_u18615))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18615), tc_List_Olist(_u18615)), _u18616), c_List_Olist_ONil(_u18615))), c_List_Olexord(_u18615, _u18617))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18618), tc_List_Olist(_u18618))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18618), tc_List_Olist(_u18618)), c_List_Olist_ONil(_u18618)), _u18619)), c_List_Olex(_u18618, _u18620))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18621), tc_List_Olist(_u18621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18621), tc_List_Olist(_u18621)), _u18622), c_List_Olist_ONil(_u18621))), c_List_Olex(_u18621, _u18623))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18624), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18625)), _u18626))) | hBOOL(hAPP(hAPP(c_member(_u18625), _u18627), hAPP(c_List_Oset(_u18625), hAPP(hAPP(c_List_Olist__update(_u18625, _u18626), _u18624), _u18627)))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18630), _u18632)) | ( c_List_Oupto(_u18630, _u18632) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18630), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18630), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18632))) )).
% 13.05/13.29 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18631), _u18633)) | ( c_List_Oupto(_u18631, _u18633) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18637)) | ( c_List_Osublist(_u18639, hAPP(hAPP(c_List_Olist_OCons(_u18639), _u18641), c_List_Olist_ONil(_u18639)), _u18637) = hAPP(hAPP(c_List_Olist_OCons(_u18639), _u18641), c_List_Olist_ONil(_u18639))) )).
% 13.05/13.29 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18638)) | ( c_List_Osublist(_u18640, hAPP(hAPP(c_List_Olist_OCons(_u18640), _u18642), c_List_Olist_ONil(_u18640)), _u18638) = c_List_Olist_ONil(_u18640)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__Cons_H-1, axiom, ( ( _u18647 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18649), _u18647), hAPP(hAPP(c_List_Olist_OCons(_u18649), _u18651), _u18653)) = c_List_Olist_ONil(_u18649)) )).
% 13.05/13.29 cnf(fact_take__Cons_H-2, axiom, ( ( _u18648 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18650), _u18648), hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18652), _u18654)) = hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18652), hAPP(hAPP(c_List_Otake(_u18650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18648), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18654))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 13.05/13.29 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), _u18657)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18659))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18657), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18659)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18657)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18657)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18659)))) )).
% 13.05/13.29 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), _u18658)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18660))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18658), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18660)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_select ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_select-1, axiom, ( ( _u18661 = c_List_Olist_ONil(_u18662)) | hBOOL(hAPP(hAPP(c_member(_u18662), hAPP(c_Product__Type_Ofst(_u18662, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u18662, _u18661), _u18663))), hAPP(c_List_Oset(_u18662), _u18661))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18664), tc_List_Olist(_u18664), c_List_Olistrel(_u18664, _u18665)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18664)), c_List_Olist_ONil(_u18664)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18664), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18664)), c_List_Olist_ONil(_u18664)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18664), tc_HOL_Obool)))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u18666, _u18667, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18666)), c_List_Olist_ONil(_u18666)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18666), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u18666, tc_List_Olist(_u18666), hAPP(hAPP(c_COMBC(_u18666, tc_List_Olist(_u18666), tc_List_Olist(_u18666)), c_List_Olist_OCons(_u18666)), c_List_Olist_ONil(_u18666))), _u18667)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18672) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18674), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18672)), hAPP(hAPP(c_List_Olist_OCons(_u18674), _u18676), _u18678)) = c_List_Olist_ONil(_u18674)) )).
% 13.05/13.29 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18673) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18675), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18673)), hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18677), _u18679)) = hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18677), hAPP(hAPP(c_List_Otake(_u18675), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18673)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18679))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18680), _u18681)) | hBOOL(hAPP(hAPP(c_member(_u18680), _u18682), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18680, tc_HOL_Obool)), hAPP(c_List_Oset(_u18680), _u18681)), hAPP(hAPP(c_Set_Oinsert(_u18680), hAPP(hAPP(c_List_Onth(_u18680), _u18681), _u18683)), c_Orderings_Obot__class_Obot(tc_fun(_u18680, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u18680), hAPP(hAPP(c_List_Olist__update(_u18680, _u18681), _u18683), _u18682))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 13.05/13.29 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), _u18684), _u18685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18684), _u18685)) | ( c_List_Oupto(_u18684, _u18685) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18684), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18684), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18685))) )).
% 13.05/13.29 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), _u18684), _u18685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18684), _u18685)) | ( c_List_Oupto(_u18684, _u18685) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u18691 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18693, _u18695, _u18697, _u18691), _u18699) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18695), _u18693), c_List_Olist_ONil(_u18695)), _u18699)) )).
% 13.05/13.29 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u18692 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18694, _u18696, _u18698, _u18692), _u18700) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(_u18696, _u18694), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18696), _u18694), c_List_Olist_ONil(_u18696)), _u18700), hAPP(c_Product__Type_Oprod_Oprod__case(_u18696, _u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), hAPP(hAPP(c_COMBC(_u18696, tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(tc_List_Olist(_u18696), _u18694)), tc_fun(tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), _u18696), c_COMBB(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(tc_List_Olist(_u18696), _u18694), _u18694)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18696), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), tc_fun(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(tc_List_Olist(_u18696), _u18694)), _u18696), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18696), _u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18696), tc_List_Olist(_u18696)), tc_fun(tc_List_Olist(_u18696), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), _u18696), hAPP(c_COMBB(tc_List_Olist(_u18696), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), tc_List_Olist(_u18696)), c_Product__Type_OPair(tc_List_Olist(_u18696), _u18694))), c_List_Olist_OCons(_u18696))))), c_Lazy__Sequence_Oanamorph(_u18694, _u18696, _u18698, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18692), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u18698, _u18700))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u18701, c_List_Olist_ONil(tc_fun(_u18701, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18701)), c_List_Olist_ONil(_u18701)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18701), tc_HOL_Obool)))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18702, _u18703), _u18704), hAPP(hAPP(c_List_Olist_OCons(_u18703), _u18705), _u18706)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18702, _u18703)), _u18702, c_List_Olist_ONil(tc_prod(_u18702, _u18703)), hAPP(hAPP(c_COMBC(_u18702, tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703))), tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(tc_prod(_u18702, _u18703))), tc_fun(tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703))), tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703)))), _u18702), c_COMBB(tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(_u18702))), hAPP(hAPP(c_COMBB(tc_prod(_u18702, _u18703), tc_fun(tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(tc_prod(_u18702, _u18703))), _u18702), c_List_Olist_OCons(tc_prod(_u18702, _u18703))), hAPP(hAPP(c_COMBC(_u18702, _u18703, tc_prod(_u18702, _u18703)), c_Product__Type_OPair(_u18702, _u18703)), _u18705)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18702), tc_List_Olist(_u18703), tc_List_Olist(tc_prod(_u18702, _u18703))), c_List_Ozip(_u18702, _u18703)), _u18706))), _u18704)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u18707, _u18708, _u18709, _u18710), hAPP(hAPP(c_List_Olist_OCons(_u18708), _u18711), _u18712)) = hAPP(hAPP(_u18710, _u18711), _u18712)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u18713, _u18714, _u18715, _u18716), c_List_Olist_ONil(_u18714)) = _u18715) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u18717, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18717, tc_HOL_Obool)), _u18718), _u18719)) = c_List_Oset__Cons(_u18717, _u18718, c_List_Olistset(_u18717, _u18719))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18720, _u18721), hAPP(hAPP(c_List_Olist_OCons(_u18720), _u18722), _u18723)), _u18724) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18720, _u18721)), _u18721, c_List_Olist_ONil(tc_prod(_u18720, _u18721)), hAPP(hAPP(c_COMBC(_u18721, tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721))), tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(tc_prod(_u18720, _u18721))), tc_fun(tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721))), tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721)))), _u18721), c_COMBB(tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(_u18721))), hAPP(hAPP(c_COMBB(tc_prod(_u18720, _u18721), tc_fun(tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(tc_prod(_u18720, _u18721))), _u18721), c_List_Olist_OCons(tc_prod(_u18720, _u18721))), hAPP(c_Product__Type_OPair(_u18720, _u18721), _u18722)))), hAPP(c_List_Ozip(_u18720, _u18721), _u18723))), _u18724)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 13.05/13.29 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), _u18727), _u18728))) | hBOOL(hAPP(hAPP(_u18729, _u18727), _u18728)) | 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), skolem469(_u18729, _u18728, _u18727)), skolem470(_u18729, _u18728, _u18727)))) )).
% 13.05/13.29 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), _u18727), _u18728))) | hBOOL(hAPP(hAPP(_u18729, _u18727), _u18728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem469(_u18729, _u18728, _u18727)), skolem470(_u18729, _u18728, _u18727))) | hBOOL(hAPP(hAPP(_u18729, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem469(_u18729, _u18728, _u18727)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem470(_u18729, _u18728, _u18727))) )).
% 13.05/13.29 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), _u18727), _u18728))) | hBOOL(hAPP(hAPP(_u18729, _u18727), _u18728)) | ~hBOOL(hAPP(hAPP(_u18729, skolem469(_u18729, _u18728, _u18727)), skolem470(_u18729, _u18728, _u18727))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upd__upds__conv__if ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upd__upds__conv__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18737), _u18739), hAPP(c_List_Oset(_u18737), hAPP(hAPP(c_List_Otake(_u18737), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18741)), _u18743)), _u18745)))) | ( c_Map_Omap__upds(_u18737, _u18741, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18737, tc_Option_Ooption(_u18741)), _u18747), _u18739), hAPP(c_Option_Ooption_OSome(_u18741), _u18749)), _u18745, _u18743) = c_Map_Omap__upds(_u18737, _u18741, _u18747, _u18745, _u18743)) )).
% 13.05/13.29 cnf(fact_map__upd__upds__conv__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18738), _u18740), hAPP(c_List_Oset(_u18738), hAPP(hAPP(c_List_Otake(_u18738), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18742)), _u18744)), _u18746)))) | ( c_Map_Omap__upds(_u18738, _u18742, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18738, tc_Option_Ooption(_u18742)), _u18748), _u18740), hAPP(c_Option_Ooption_OSome(_u18742), _u18750)), _u18746, _u18744) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18738, tc_Option_Ooption(_u18742)), c_Map_Omap__upds(_u18738, _u18742, _u18748, _u18746, _u18744)), _u18740), hAPP(c_Option_Ooption_OSome(_u18742), _u18750))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upds__Nil1 ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upds__Nil1-1, axiom, ( ( c_Map_Omap__upds(_u18751, _u18752, _u18753, c_List_Olist_ONil(_u18751), _u18754) = _u18753) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upds__Nil2 ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upds__Nil2-1, axiom, ( ( c_Map_Omap__upds(_u18755, _u18756, _u18757, _u18758, c_List_Olist_ONil(_u18756)) = _u18757) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upds__apply__nontin ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upds__apply__nontin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18759), _u18760), hAPP(c_List_Oset(_u18759), _u18761))) | ( hAPP(c_Map_Omap__upds(_u18759, _u18762, _u18763, _u18761, _u18764), _u18760) = hAPP(_u18763, _u18760)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__add__upds ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__add__upds-1, axiom, ( ( c_Map_Omap__add(_u18765, _u18766, _u18767, c_Map_Omap__upds(_u18765, _u18766, _u18768, _u18769, _u18770)) = c_Map_Omap__upds(_u18765, _u18766, c_Map_Omap__add(_u18765, _u18766, _u18767, _u18768), _u18769, _u18770)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upds__Cons ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upds__Cons-1, axiom, ( ( c_Map_Omap__upds(_u18771, _u18772, _u18773, hAPP(hAPP(c_List_Olist_OCons(_u18771), _u18774), _u18775), hAPP(hAPP(c_List_Olist_OCons(_u18772), _u18776), _u18777)) = c_Map_Omap__upds(_u18771, _u18772, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18771, tc_Option_Ooption(_u18772)), _u18773), _u18774), hAPP(c_Option_Ooption_OSome(_u18772), _u18776)), _u18775, _u18777)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upds__list__update2__drop ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upds__list__update2__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18778)), _u18779)), _u18780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18780), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18781)), _u18782))) | ( c_Map_Omap__upds(_u18778, _u18781, _u18783, _u18779, hAPP(hAPP(c_List_Olist__update(_u18781, _u18782), _u18780), _u18784)) = c_Map_Omap__upds(_u18778, _u18781, _u18783, _u18779, _u18782)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upds__twist ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upds__twist-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18785), _u18786), hAPP(c_List_Oset(_u18785), _u18787))) | ( c_Map_Omap__upds(_u18785, _u18788, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18785, tc_Option_Ooption(_u18788)), _u18789), _u18786), hAPP(c_Option_Ooption_OSome(_u18788), _u18790)), _u18787, _u18791) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18785, tc_Option_Ooption(_u18788)), c_Map_Omap__upds(_u18785, _u18788, _u18789, _u18787, _u18791)), _u18786), hAPP(c_Option_Ooption_OSome(_u18788), _u18790))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_restrict__map__upds ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_restrict__map__upds-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18792)), _u18793) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18794)), _u18795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18792, tc_HOL_Obool)), hAPP(c_List_Oset(_u18792), _u18793)), _u18796)) | ( c_Map_Orestrict__map(_u18792, _u18794, c_Map_Omap__upds(_u18792, _u18794, _u18797, _u18793, _u18795), _u18796) = c_Map_Omap__upds(_u18792, _u18794, c_Map_Orestrict__map(_u18792, _u18794, _u18797, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18792, tc_HOL_Obool)), _u18796), hAPP(c_List_Oset(_u18792), _u18793))), _u18793, _u18795)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_dom__map__upds ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_dom__map__upds-1, axiom, ( ( c_Map_Odom(_u18798, _u18799, c_Map_Omap__upds(_u18798, _u18799, _u18800, _u18801, _u18802)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18798, tc_HOL_Obool)), hAPP(c_List_Oset(_u18798), hAPP(hAPP(c_List_Otake(_u18798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18799)), _u18802)), _u18801))), c_Map_Odom(_u18798, _u18799, _u18800))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_map__upds__append1 ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_map__upds__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18803)), _u18804)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18805)), _u18806))) | ( c_Map_Omap__upds(_u18803, _u18805, _u18807, hAPP(hAPP(c_List_Oappend(_u18803), _u18804), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18808), c_List_Olist_ONil(_u18803))), _u18806) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18803, tc_Option_Ooption(_u18805)), c_Map_Omap__upds(_u18803, _u18805, _u18807, _u18804, _u18806)), _u18808), hAPP(c_Option_Ooption_OSome(_u18805), hAPP(hAPP(c_List_Onth(_u18805), _u18806), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18803)), _u18804))))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u18809, hAPP(hAPP(c_List_Olist_OCons(_u18809), _u18810), _u18811), _u18812) = hAPP(hAPP(c_List_Oappend(_u18809), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u18809)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18812)), hAPP(hAPP(c_List_Olist_OCons(_u18809), _u18810), c_List_Olist_ONil(_u18809))), c_List_Olist_ONil(_u18809))), c_List_Osublist(_u18809, _u18811, 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)), _u18812))))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18818), _u18820), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18822), c_List_Olist_ONil(_u18818))) != hAPP(hAPP(c_List_Oappend(_u18818), _u18824), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18826), c_List_Olist_ONil(_u18818)))) | ( _u18820 = _u18824) )).
% 13.05/13.29 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18818), _u18820), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18822), c_List_Olist_ONil(_u18818))) != hAPP(hAPP(c_List_Oappend(_u18818), _u18824), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18826), c_List_Olist_ONil(_u18818)))) | ( _u18822 = _u18826) )).
% 13.05/13.29 cnf(fact_append1__eq__conv-3, axiom, ( ( _u18821 != _u18825) | ( _u18823 != _u18827) | ( hAPP(hAPP(c_List_Oappend(_u18819), _u18821), hAPP(hAPP(c_List_Olist_OCons(_u18819), _u18823), c_List_Olist_ONil(_u18819))) = hAPP(hAPP(c_List_Oappend(_u18819), _u18825), hAPP(hAPP(c_List_Olist_OCons(_u18819), _u18827), c_List_Olist_ONil(_u18819)))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( _u18841 = c_List_Olist_ONil(_u18835)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)) = _u18841) )).
% 13.05/13.29 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( _u18841 = c_List_Olist_ONil(_u18835)) | ( _u18839 = hAPP(hAPP(c_List_Oappend(_u18835), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)), _u18843)) )).
% 13.05/13.29 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) = _u18843) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)) = _u18841) )).
% 13.05/13.29 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) = _u18843) | ( _u18839 = hAPP(hAPP(c_List_Oappend(_u18835), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)), _u18843)) )).
% 13.05/13.29 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18840) = hAPP(hAPP(c_List_Oappend(_u18836), _u18842), _u18844)) | ( _u18842 != c_List_Olist_ONil(_u18836)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18840) != _u18844) )).
% 13.05/13.29 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18840) = hAPP(hAPP(c_List_Oappend(_u18836), _u18842), _u18844)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18829) != _u18842) | ( _u18840 != hAPP(hAPP(c_List_Oappend(_u18836), _u18829), _u18844)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18854 = c_List_Olist_ONil(_u18852)) | ( _u18854 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852))) )).
% 13.05/13.29 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18854 = c_List_Olist_ONil(_u18852)) | ( hAPP(hAPP(c_List_Oappend(_u18852), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852)), _u18856) = _u18860) )).
% 13.05/13.29 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18856 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18854 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852))) )).
% 13.05/13.29 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18856 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( hAPP(hAPP(c_List_Oappend(_u18852), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852)), _u18856) = _u18860) )).
% 13.05/13.29 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18853), _u18855), _u18857) = hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18861)) | ( _u18855 != c_List_Olist_ONil(_u18853)) | ( _u18857 != hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18861)) )).
% 13.05/13.29 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18853), _u18855), _u18857) = hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18861)) | ( _u18855 != hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18846)) | ( hAPP(hAPP(c_List_Oappend(_u18853), _u18846), _u18857) != _u18861) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_fun__upds__append__drop ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_fun__upds__append__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18862)), _u18863) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18864)), _u18865)) | ( c_Map_Omap__upds(_u18862, _u18864, _u18866, hAPP(hAPP(c_List_Oappend(_u18862), _u18863), _u18867), _u18865) = c_Map_Omap__upds(_u18862, _u18864, _u18866, _u18863, _u18865)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_fun__upds__append2__drop ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_fun__upds__append2__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18868)), _u18869) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18870)), _u18871)) | ( c_Map_Omap__upds(_u18868, _u18870, _u18872, _u18869, hAPP(hAPP(c_List_Oappend(_u18870), _u18871), _u18873)) = c_Map_Omap__upds(_u18868, _u18870, _u18872, _u18869, _u18871)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u18874, hAPP(hAPP(c_List_Oappend(_u18874), _u18875), hAPP(hAPP(c_List_Olist_OCons(_u18874), _u18876), _u18877))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875)), _u18878) = hAPP(hAPP(c_List_Oappend(_u18874), _u18875), hAPP(hAPP(c_List_Olist_OCons(_u18874), _u18878), _u18877))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18879), hAPP(hAPP(c_List_Oappend(_u18879), _u18880), hAPP(hAPP(c_List_Olist_OCons(_u18879), _u18881), _u18882))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18879)), _u18880)) = _u18881) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18883), _u18884), _u18885) != _u18886) | ( _u18887 != hAPP(hAPP(c_List_Oappend(_u18883), _u18885), _u18888)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18883), _u18884), _u18887) = hAPP(hAPP(c_List_Oappend(_u18883), _u18886), _u18888)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18889), hAPP(hAPP(c_List_Olist_OCons(_u18889), _u18890), _u18891)), _u18892) = hAPP(hAPP(c_List_Olist_OCons(_u18889), _u18890), hAPP(hAPP(c_List_Oappend(_u18889), _u18891), _u18892))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_take__append ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u18893), _u18894), hAPP(hAPP(c_List_Oappend(_u18893), _u18895), _u18896)) = hAPP(hAPP(c_List_Oappend(_u18893), hAPP(hAPP(c_List_Otake(_u18893), _u18894), _u18895)), hAPP(hAPP(c_List_Otake(_u18893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18894), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18893)), _u18895))), _u18896))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18897), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18898)), _u18899))) | ( hAPP(hAPP(c_List_Olist__update(_u18898, hAPP(hAPP(c_List_Oappend(_u18898), _u18899), _u18900)), _u18897), _u18901) = hAPP(hAPP(c_List_Oappend(_u18898), hAPP(hAPP(c_List_Olist__update(_u18898, _u18899), _u18897), _u18901)), _u18900)) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18906), _u18908), hAPP(c_List_Oset(_u18906), _u18910))) | ( c_List_Oremove1(_u18906, _u18908, hAPP(hAPP(c_List_Oappend(_u18906), _u18910), _u18912)) = hAPP(hAPP(c_List_Oappend(_u18906), c_List_Oremove1(_u18906, _u18908, _u18910)), _u18912)) )).
% 13.05/13.29 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18907), _u18909), hAPP(c_List_Oset(_u18907), _u18911))) | ( c_List_Oremove1(_u18907, _u18909, hAPP(hAPP(c_List_Oappend(_u18907), _u18911), _u18913)) = hAPP(hAPP(c_List_Oappend(_u18907), _u18911), c_List_Oremove1(_u18907, _u18909, _u18913))) )).
% 13.05/13.29
% 13.05/13.29 % Formula: fact_length__append ( axiom ) converted to clauses:
% 13.05/13.29 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18914)), hAPP(hAPP(c_List_Oappend(_u18914), _u18915), _u18916)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18914)), _u18915)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18914)), _u18916))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18917)), _u18918) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18919)), _u18920)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18917)), _u18921) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18919)), _u18922)) | ( hAPP(hAPP(c_List_Ozip(_u18917, _u18919), hAPP(hAPP(c_List_Oappend(_u18917), _u18918), _u18921)), hAPP(hAPP(c_List_Oappend(_u18919), _u18920), _u18922)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u18917, _u18919)), hAPP(hAPP(c_List_Ozip(_u18917, _u18919), _u18918), _u18920)), hAPP(hAPP(c_List_Ozip(_u18917, _u18919), _u18921), _u18922))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18923, _u18924), _u18925), hAPP(hAPP(c_List_Oappend(_u18923), _u18926), _u18927)) = hAPP(hAPP(c_List_Oappend(_u18924), hAPP(hAPP(c_List_Omap(_u18923, _u18924), _u18925), _u18926)), hAPP(hAPP(c_List_Omap(_u18923, _u18924), _u18925), _u18927))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u18928), hAPP(hAPP(c_List_Oappend(_u18928), _u18929), _u18930)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18928)), _u18929)), _u18931)) = hAPP(hAPP(c_List_Onth(_u18928), _u18930), _u18931)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u18932, _u18933, _u18934, hAPP(hAPP(c_List_Oappend(_u18932), _u18935), _u18936), _u18937) = c_List_Ofoldr(_u18932, _u18933, _u18934, _u18935, c_List_Ofoldr(_u18932, _u18933, _u18934, _u18936, _u18937))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__of__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__of__append-1, axiom, ( ( c_Map_Omap__of(_u18938, _u18939, hAPP(hAPP(c_List_Oappend(tc_prod(_u18938, _u18939)), _u18940), _u18941)) = c_Map_Omap__add(_u18938, _u18939, c_Map_Omap__of(_u18938, _u18939, _u18941), c_Map_Omap__of(_u18938, _u18939, _u18940))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18942), hAPP(hAPP(c_List_Oappend(_u18942), _u18943), _u18944)), _u18945) = hAPP(hAPP(c_List_Oappend(_u18942), _u18943), hAPP(hAPP(c_List_Oappend(_u18942), _u18944), _u18945))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( _u18959 = hAPP(hAPP(c_List_Oappend(_u18957), _u18963), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957))) | ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)) = _u18963) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( _u18959 = hAPP(hAPP(c_List_Oappend(_u18957), _u18963), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957))) | ( _u18961 = hAPP(hAPP(c_List_Oappend(_u18957), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18965)) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( hAPP(hAPP(c_List_Oappend(_u18957), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18961) = _u18965) | ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)) = _u18963) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( hAPP(hAPP(c_List_Oappend(_u18957), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18961) = _u18965) | ( _u18961 = hAPP(hAPP(c_List_Oappend(_u18957), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18965)) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18958), _u18960), _u18962) = hAPP(hAPP(c_List_Oappend(_u18958), _u18964), _u18966)) | ( _u18960 != hAPP(hAPP(c_List_Oappend(_u18958), _u18964), _u18955)) | ( hAPP(hAPP(c_List_Oappend(_u18958), _u18955), _u18962) != _u18966) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18958), _u18960), _u18962) = hAPP(hAPP(c_List_Oappend(_u18958), _u18964), _u18966)) | ( hAPP(hAPP(c_List_Oappend(_u18958), _u18960), _u18956) != _u18964) | ( _u18962 != hAPP(hAPP(c_List_Oappend(_u18958), _u18956), _u18966)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_same__append__eq-1, axiom, ( ( _u18975 = _u18977) | ( hAPP(hAPP(c_List_Oappend(_u18971), _u18973), _u18975) != hAPP(hAPP(c_List_Oappend(_u18971), _u18973), _u18977)) )).
% 13.06/13.29 cnf(fact_same__append__eq-2, axiom, ( ( _u18976 != _u18978) | ( hAPP(hAPP(c_List_Oappend(_u18972), _u18974), _u18976) = hAPP(hAPP(c_List_Oappend(_u18972), _u18974), _u18978)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__same__eq-1, axiom, ( ( _u18985 = _u18989) | ( hAPP(hAPP(c_List_Oappend(_u18983), _u18985), _u18987) != hAPP(hAPP(c_List_Oappend(_u18983), _u18989), _u18987)) )).
% 13.06/13.29 cnf(fact_append__same__eq-2, axiom, ( ( _u18986 != _u18990) | ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) = hAPP(hAPP(c_List_Oappend(_u18984), _u18990), _u18988)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18991), _u18992), _u18993) != _u18994) | ( _u18995 != hAPP(hAPP(c_List_Oappend(_u18991), _u18993), _u18996)) | ( hAPP(hAPP(c_List_Oappend(_u18991), _u18992), _u18995) = hAPP(hAPP(c_List_Oappend(_u18991), _u18994), _u18996)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u18997), hAPP(hAPP(c_List_Oappend(_u18997), _u18998), _u18999)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18997, tc_HOL_Obool)), hAPP(c_List_Oset(_u18997), _u18998)), hAPP(c_List_Oset(_u18997), _u18999))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u19000) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19000), hAPP(hAPP(c_List_Oappend(_u19000), _u19001), _u19002)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19000), hAPP(c_List_Omonoid__add__class_Olistsum(_u19000), _u19001)), hAPP(c_List_Omonoid__add__class_Olistsum(_u19000), _u19002))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u19003 != _u19004) | ( _u19003 = hAPP(hAPP(c_List_Oappend(_u19005), c_List_Olist_ONil(_u19005)), _u19004)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19009), _u19011), _u19013) != _u19013) | ( _u19011 = c_List_Olist_ONil(_u19009)) )).
% 13.06/13.29 cnf(fact_append__self__conv2-2, axiom, ( ( _u19012 != c_List_Olist_ONil(_u19010)) | ( hAPP(hAPP(c_List_Oappend(_u19010), _u19012), _u19014) = _u19014) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19018), _u19020), _u19022) != _u19020) | ( _u19022 = c_List_Olist_ONil(_u19018)) )).
% 13.06/13.29 cnf(fact_append__self__conv-2, axiom, ( ( _u19023 != c_List_Olist_ONil(_u19019)) | ( hAPP(hAPP(c_List_Oappend(_u19019), _u19021), _u19023) = _u19021) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19027), _u19029), _u19031) != c_List_Olist_ONil(_u19027)) | ( _u19029 = c_List_Olist_ONil(_u19027)) )).
% 13.06/13.29 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19027), _u19029), _u19031) != c_List_Olist_ONil(_u19027)) | ( _u19031 = c_List_Olist_ONil(_u19027)) )).
% 13.06/13.29 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u19030 != c_List_Olist_ONil(_u19028)) | ( _u19032 != c_List_Olist_ONil(_u19028)) | ( hAPP(hAPP(c_List_Oappend(_u19028), _u19030), _u19032) = c_List_Olist_ONil(_u19028)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_self__append__conv2-1, axiom, ( ( _u19040 = c_List_Olist_ONil(_u19038)) | ( _u19036 != hAPP(hAPP(c_List_Oappend(_u19038), _u19040), _u19036)) )).
% 13.06/13.29 cnf(fact_self__append__conv2-2, axiom, ( ( _u19041 != c_List_Olist_ONil(_u19039)) | ( _u19037 = hAPP(hAPP(c_List_Oappend(_u19039), _u19041), _u19037)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_self__append__conv-1, axiom, ( ( _u19049 = c_List_Olist_ONil(_u19047)) | ( _u19045 != hAPP(hAPP(c_List_Oappend(_u19047), _u19045), _u19049)) )).
% 13.06/13.29 cnf(fact_self__append__conv-2, axiom, ( ( _u19050 != c_List_Olist_ONil(_u19048)) | ( _u19046 = hAPP(hAPP(c_List_Oappend(_u19048), _u19046), _u19050)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19051), _u19052), c_List_Olist_ONil(_u19051)) = _u19052) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u19056) != hAPP(hAPP(c_List_Oappend(_u19056), _u19058), _u19060)) | ( _u19058 = c_List_Olist_ONil(_u19056)) )).
% 13.06/13.29 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u19056) != hAPP(hAPP(c_List_Oappend(_u19056), _u19058), _u19060)) | ( _u19060 = c_List_Olist_ONil(_u19056)) )).
% 13.06/13.29 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u19059 != c_List_Olist_ONil(_u19057)) | ( _u19061 != c_List_Olist_ONil(_u19057)) | ( c_List_Olist_ONil(_u19057) = hAPP(hAPP(c_List_Oappend(_u19057), _u19059), _u19061)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19062), c_List_Olist_ONil(_u19062)), _u19063) = _u19063) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19064), tc_List_Olist(_u19064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19064), tc_List_Olist(_u19064)), _u19065), _u19066)), c_List_Olexord(_u19064, _u19067))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19064), tc_List_Olist(_u19064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19064), tc_List_Olist(_u19064)), hAPP(hAPP(c_List_Oappend(_u19064), _u19068), _u19065)), hAPP(hAPP(c_List_Oappend(_u19064), _u19068), _u19066))), c_List_Olexord(_u19064, _u19067))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19072), hAPP(hAPP(c_List_Oappend(_u19072), _u19074), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19072), _u19074)) )).
% 13.06/13.29 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19072), hAPP(hAPP(c_List_Oappend(_u19072), _u19074), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19072), _u19076)) )).
% 13.06/13.29 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19072), hAPP(hAPP(c_List_Oappend(_u19072), _u19074), _u19076))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19072, tc_HOL_Obool)), hAPP(c_List_Oset(_u19072), _u19074)), hAPP(c_List_Oset(_u19072), _u19076)) = c_Orderings_Obot__class_Obot(tc_fun(_u19072, tc_HOL_Obool))) )).
% 13.06/13.29 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19073), _u19075)) | ~hBOOL(hAPP(c_List_Odistinct(_u19073), _u19077)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19073, tc_HOL_Obool)), hAPP(c_List_Oset(_u19073), _u19075)), hAPP(c_List_Oset(_u19073), _u19077)) != c_Orderings_Obot__class_Obot(tc_fun(_u19073, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u19073), hAPP(hAPP(c_List_Oappend(_u19073), _u19075), _u19077))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19082), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19084)), _u19086))) | ( hAPP(hAPP(c_List_Onth(_u19084), hAPP(hAPP(c_List_Oappend(_u19084), _u19086), _u19088)), _u19082) = hAPP(hAPP(c_List_Onth(_u19084), _u19086), _u19082)) )).
% 13.06/13.29 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19083), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19085)), _u19087))) | ( hAPP(hAPP(c_List_Onth(_u19085), hAPP(hAPP(c_List_Oappend(_u19085), _u19087), _u19089)), _u19083) = hAPP(hAPP(c_List_Onth(_u19085), _u19089), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19083), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19085)), _u19087)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19095), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19097)), _u19099))) | ( hAPP(hAPP(c_List_Olist__update(_u19097, hAPP(hAPP(c_List_Oappend(_u19097), _u19099), _u19101)), _u19095), _u19103) = hAPP(hAPP(c_List_Oappend(_u19097), hAPP(hAPP(c_List_Olist__update(_u19097, _u19099), _u19095), _u19103)), _u19101)) )).
% 13.06/13.29 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19096), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19098)), _u19100))) | ( hAPP(hAPP(c_List_Olist__update(_u19098, hAPP(hAPP(c_List_Oappend(_u19098), _u19100), _u19102)), _u19096), _u19104) = hAPP(hAPP(c_List_Oappend(_u19098), _u19100), hAPP(hAPP(c_List_Olist__update(_u19098, _u19102), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19096), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19098)), _u19100))), _u19104))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u19105, hAPP(hAPP(c_List_Oappend(_u19105), _u19106), _u19107), _u19108) = hAPP(hAPP(c_List_Oappend(_u19105), c_List_Osublist(_u19105, _u19106, _u19108)), c_List_Osublist(_u19105, _u19107, 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(_u19105)), _u19106)))), _u19108))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19109, _u19109)), hAPP(hAPP(c_Product__Type_OPair(_u19109, _u19109), _u19110), _u19111)), _u19112)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19109), tc_List_Olist(_u19109))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19109), tc_List_Olist(_u19109)), hAPP(hAPP(c_List_Oappend(_u19109), _u19113), hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19110), _u19114))), hAPP(hAPP(c_List_Oappend(_u19109), _u19113), hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19111), _u19115)))), c_List_Olexord(_u19109, _u19112))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19116), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19117)), _u19118))) | ( hAPP(hAPP(c_List_Otake(_u19117), hAPP(c_Nat_OSuc, _u19116)), _u19118) = hAPP(hAPP(c_List_Oappend(_u19117), hAPP(hAPP(c_List_Otake(_u19117), _u19116), _u19118)), hAPP(hAPP(c_List_Olist_OCons(_u19117), hAPP(hAPP(c_List_Onth(_u19117), _u19118), _u19116)), c_List_Olist_ONil(_u19117)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), _u19127), _u19131)), c_List_Olistrel1(_u19125, _u19135))) | ( _u19127 = _u19131) )).
% 13.06/13.29 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), _u19127), _u19131)), c_List_Olistrel1(_u19125, _u19135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19125, _u19125)), hAPP(hAPP(c_Product__Type_OPair(_u19125, _u19125), _u19129), _u19133)), _u19135)) )).
% 13.06/13.29 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | ( _u19129 = _u19133) | ( _u19127 = _u19131) )).
% 13.06/13.29 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | ( _u19129 = _u19133) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19125, _u19125)), hAPP(hAPP(c_Product__Type_OPair(_u19125, _u19125), _u19129), _u19133)), _u19135)) )).
% 13.06/13.29 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19126), tc_List_Olist(_u19126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19126), tc_List_Olist(_u19126)), hAPP(hAPP(c_List_Oappend(_u19126), _u19128), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19130), c_List_Olist_ONil(_u19126)))), hAPP(hAPP(c_List_Oappend(_u19126), _u19132), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19134), c_List_Olist_ONil(_u19126))))), c_List_Olistrel1(_u19126, _u19136))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19126), tc_List_Olist(_u19126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19126), tc_List_Olist(_u19126)), _u19128), _u19132)), c_List_Olistrel1(_u19126, _u19136))) | ( _u19130 != _u19134) )).
% 13.06/13.29 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19126), tc_List_Olist(_u19126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19126), tc_List_Olist(_u19126)), hAPP(hAPP(c_List_Oappend(_u19126), _u19128), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19130), c_List_Olist_ONil(_u19126)))), hAPP(hAPP(c_List_Oappend(_u19126), _u19132), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19134), c_List_Olist_ONil(_u19126))))), c_List_Olistrel1(_u19126, _u19136))) | ( _u19128 != _u19132) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19126, _u19126)), hAPP(hAPP(c_Product__Type_OPair(_u19126, _u19126), _u19130), _u19134)), _u19136)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19138), tc_List_Olist(_u19138))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19138), tc_List_Olist(_u19138)), hAPP(hAPP(c_List_Oappend(_u19138), _u19139), _u19140)), hAPP(hAPP(c_List_Oappend(_u19138), _u19139), _u19141))), c_List_Olexord(_u19138, _u19142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19138, _u19138)), hAPP(hAPP(c_Product__Type_OPair(_u19138, _u19138), skolem475(_u19142, _u19141, _u19140, _u19139, _u19138)), skolem475(_u19142, _u19141, _u19140, _u19139, _u19138))), _u19142)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19138), tc_List_Olist(_u19138))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19138), tc_List_Olist(_u19138)), _u19140), _u19141)), c_List_Olexord(_u19138, _u19142))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19143), _u19144), c_Wellfounded_Oacc(_u19143, _u19145))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19143)), _u19146), c_Wellfounded_Oacc(tc_List_Olist(_u19143), c_List_Olistrel1(_u19143, _u19145)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19143)), hAPP(hAPP(c_List_Olist_OCons(_u19143), _u19144), _u19146)), c_Wellfounded_Oacc(tc_List_Olist(_u19143), c_List_Olistrel1(_u19143, _u19145)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u19147, hAPP(c_Relation_Oconverse(_u19147, _u19147), _u19148)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u19147), tc_List_Olist(_u19147)), c_List_Olistrel1(_u19147, _u19148))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u19149, c_Transitive__Closure_Ortrancl(_u19149, _u19150)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19149), c_List_Olistrel1(_u19149, _u19150))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19151, _u19151), tc_HOL_Obool)), _u19152), _u19153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19151), tc_List_Olist(_u19151)), tc_HOL_Obool)), c_List_Olistrel1(_u19151, _u19152)), c_List_Olistrel1(_u19151, _u19153))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 13.06/13.29 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(_u19154), tc_List_Olist(_u19154)), tc_HOL_Obool)), c_List_Olistrel1(_u19154, c_Transitive__Closure_Ortrancl(_u19154, _u19155))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19154), c_List_Olistrel1(_u19154, _u19155)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19156), tc_List_Olist(_u19156)), tc_HOL_Obool)), c_List_Olistrel(_u19156, _u19157)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19156), c_List_Olistrel1(_u19156, _u19157)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19158), tc_List_Olist(_u19158))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19158), tc_List_Olist(_u19158)), _u19159), _u19160)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19158), c_List_Olistrel1(_u19158, _u19161)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19158), tc_List_Olist(_u19158))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19158), tc_List_Olist(_u19158)), hAPP(hAPP(c_List_Olist_OCons(_u19158), _u19162), _u19159)), hAPP(hAPP(c_List_Olist_OCons(_u19158), _u19162), _u19160))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19158), c_List_Olistrel1(_u19158, _u19161)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19163), tc_List_Olist(_u19163))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19163), tc_List_Olist(_u19163)), _u19164), _u19165)), c_List_Olistrel1(_u19163, _u19166))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19163), tc_List_Olist(_u19163))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19163), tc_List_Olist(_u19163)), hAPP(hAPP(c_List_Olist_OCons(_u19163), _u19167), _u19164)), hAPP(hAPP(c_List_Olist_OCons(_u19163), _u19167), _u19165))), c_List_Olistrel1(_u19163, _u19166))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19168), tc_List_Olist(_u19168))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19168), tc_List_Olist(_u19168)), _u19169), _u19170)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19168), c_List_Olistrel1(_u19168, _u19171)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19168)), _u19169) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19168)), _u19170)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19172), tc_List_Olist(_u19172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19172), tc_List_Olist(_u19172)), _u19173), _u19174)), c_List_Olistrel1(_u19172, _u19175))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19172)), _u19173) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19172)), _u19174)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19176), tc_List_Olist(_u19176))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19176), tc_List_Olist(_u19176)), c_List_Olist_ONil(_u19176)), _u19177)), c_List_Olistrel1(_u19176, _u19178))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19179), tc_List_Olist(_u19179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19179), tc_List_Olist(_u19179)), _u19180), c_List_Olist_ONil(_u19179))), c_List_Olistrel1(_u19179, _u19181))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), hAPP(hAPP(c_List_Oappend(_u19182), _u19183), _u19186)), hAPP(hAPP(c_List_Oappend(_u19182), _u19184), _u19187))), c_List_Olistrel1(_u19182, _u19185))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), _u19183), _u19184)), c_List_Olistrel1(_u19182, _u19185))) | ( _u19186 != _u19187) )).
% 13.06/13.29 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), hAPP(hAPP(c_List_Oappend(_u19182), _u19183), _u19186)), hAPP(hAPP(c_List_Oappend(_u19182), _u19184), _u19187))), c_List_Olistrel1(_u19182, _u19185))) | ( _u19183 != _u19184) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), _u19186), _u19187)), c_List_Olistrel1(_u19182, _u19185))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19192), tc_List_Olist(_u19192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19192), tc_List_Olist(_u19192)), _u19194), _u19196)), c_List_Olistrel1(_u19192, hAPP(c_Relation_Oconverse(_u19192, _u19192), _u19198)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19192), tc_List_Olist(_u19192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19192), tc_List_Olist(_u19192)), _u19194), _u19196)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19192), tc_List_Olist(_u19192)), c_List_Olistrel1(_u19192, _u19198)))) )).
% 13.06/13.29 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19193), tc_List_Olist(_u19193))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19193), tc_List_Olist(_u19193)), _u19195), _u19197)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19193), tc_List_Olist(_u19193)), c_List_Olistrel1(_u19193, _u19199)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19193), tc_List_Olist(_u19193))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19193), tc_List_Olist(_u19193)), _u19195), _u19197)), c_List_Olistrel1(_u19193, hAPP(c_Relation_Oconverse(_u19193, _u19193), _u19199)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19200), tc_List_Olist(_u19200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19200), tc_List_Olist(_u19200)), _u19201), _u19202)), c_List_Olistrel(_u19200, _u19203))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19200), tc_List_Olist(_u19200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19200), tc_List_Olist(_u19200)), _u19201), _u19202)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19200), c_List_Olistrel1(_u19200, _u19203)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19204), tc_List_Olist(_u19204))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19204), tc_List_Olist(_u19204)), _u19205), _u19206)), c_List_Olistrel1(_u19204, _u19207))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19204), tc_List_Olist(_u19204))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19204), tc_List_Olist(_u19204)), _u19205), _u19206)), c_List_Olistrel(_u19204, c_Transitive__Closure_Ortrancl(_u19204, _u19207)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19208, _u19208)), hAPP(hAPP(c_Product__Type_OPair(_u19208, _u19208), _u19209), _u19210)), _u19211)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19208), tc_List_Olist(_u19208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19208), tc_List_Olist(_u19208)), hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19209), _u19212)), hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19210), _u19212))), c_List_Olistrel1(_u19208, _u19211))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19219, _u19219)), hAPP(hAPP(c_Product__Type_OPair(_u19219, _u19219), _u19221), _u19225)), _u19229)) | ( _u19221 = _u19225) )).
% 13.06/13.29 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19219, _u19219)), hAPP(hAPP(c_Product__Type_OPair(_u19219, _u19219), _u19221), _u19225)), _u19229)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), _u19223), _u19227)), c_List_Olistrel1(_u19219, _u19229))) )).
% 13.06/13.29 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | ( _u19223 = _u19227) | ( _u19221 = _u19225) )).
% 13.06/13.29 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | ( _u19223 = _u19227) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), _u19223), _u19227)), c_List_Olistrel1(_u19219, _u19229))) )).
% 13.06/13.29 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19220), tc_List_Olist(_u19220))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19220), tc_List_Olist(_u19220)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19222), _u19224)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19226), _u19228))), c_List_Olistrel1(_u19220, _u19230))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19220, _u19220)), hAPP(hAPP(c_Product__Type_OPair(_u19220, _u19220), _u19222), _u19226)), _u19230)) | ( _u19224 != _u19228) )).
% 13.06/13.29 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19220), tc_List_Olist(_u19220))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19220), tc_List_Olist(_u19220)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19222), _u19224)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19226), _u19228))), c_List_Olistrel1(_u19220, _u19230))) | ( _u19222 != _u19226) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19220), tc_List_Olist(_u19220))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19220), tc_List_Olist(_u19220)), _u19224), _u19228)), c_List_Olistrel1(_u19220, _u19230))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19231, _u19231), tc_HOL_Obool)), _u19232), _u19233)) | ~c_Relation_Orefl__on(_u19231, c_Orderings_Otop__class_Otop(tc_fun(_u19231, tc_HOL_Obool)), _u19233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19231), tc_List_Olist(_u19231)), tc_HOL_Obool)), c_List_Olistrel1(_u19231, _u19232)), c_List_Olistrel(_u19231, _u19233))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19234, _u19234)), hAPP(hAPP(c_Product__Type_OPair(_u19234, _u19234), _u19235), _u19236)), _u19237)) | ( _u19238 != hAPP(hAPP(c_List_Oappend(_u19234), _u19239), hAPP(hAPP(c_List_Olist_OCons(_u19234), _u19235), _u19240))) | ( _u19241 != hAPP(hAPP(c_List_Oappend(_u19234), _u19239), hAPP(hAPP(c_List_Olist_OCons(_u19234), _u19236), _u19240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19234), tc_List_Olist(_u19234))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19234), tc_List_Olist(_u19234)), _u19238), _u19241)), c_List_Olistrel1(_u19234, _u19237))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19242, _u19242)), hAPP(hAPP(c_Product__Type_OPair(_u19242, _u19242), _u19243), _u19244)), c_Transitive__Closure_Ortrancl(_u19242, _u19245))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19242), tc_List_Olist(_u19242))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19242), tc_List_Olist(_u19242)), _u19246), _u19247)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19242), c_List_Olistrel1(_u19242, _u19245)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19242), tc_List_Olist(_u19242))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19242), tc_List_Olist(_u19242)), hAPP(hAPP(c_List_Olist_OCons(_u19242), _u19243), _u19246)), hAPP(hAPP(c_List_Olist_OCons(_u19242), _u19244), _u19247))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19242), c_List_Olistrel1(_u19242, _u19245)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19256), tc_List_Olist(_u19256))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19256), tc_List_Olist(_u19256)), _u19258), _u19260)), c_List_Olistrel1(_u19256, _u19262))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19256, _u19256)), hAPP(hAPP(c_Product__Type_OPair(_u19256, _u19256), hAPP(hAPP(c_List_Onth(_u19256), _u19258), skolem477(_u19262, _u19260, _u19258, _u19256))), skolem476(_u19262, _u19260, _u19258, _u19256))), _u19262)) )).
% 13.06/13.29 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19256), tc_List_Olist(_u19256))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19256), tc_List_Olist(_u19256)), _u19258), _u19260)), c_List_Olistrel1(_u19256, _u19262))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19262, _u19260, _u19258, _u19256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19256)), _u19258))) )).
% 13.06/13.29 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19256), tc_List_Olist(_u19256))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19256), tc_List_Olist(_u19256)), _u19258), _u19260)), c_List_Olistrel1(_u19256, _u19262))) | ( _u19260 = hAPP(hAPP(c_List_Olist__update(_u19256, _u19258), skolem477(_u19262, _u19260, _u19258, _u19256)), skolem476(_u19262, _u19260, _u19258, _u19256))) )).
% 13.06/13.29 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19257, _u19257)), hAPP(hAPP(c_Product__Type_OPair(_u19257, _u19257), hAPP(hAPP(c_List_Onth(_u19257), _u19259), _u19250)), _u19251)), _u19263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19250), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19257)), _u19259))) | ( _u19261 != hAPP(hAPP(c_List_Olist__update(_u19257, _u19259), _u19250), _u19251)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19257), tc_List_Olist(_u19257))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19257), tc_List_Olist(_u19257)), _u19259), _u19261)), c_List_Olistrel1(_u19257, _u19263))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19268), tc_List_Olist(_u19268))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19268), tc_List_Olist(_u19268)), _u19269), _u19270)), c_List_Olistrel1(_u19268, _u19271))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19268, _u19268)), hAPP(hAPP(c_Product__Type_OPair(_u19268, _u19268), skolem478(_u19271, _u19270, _u19269, _u19268)), skolem479(_u19271, _u19270, _u19269, _u19268))), _u19271)) )).
% 13.06/13.29 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19268), tc_List_Olist(_u19268))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19268), tc_List_Olist(_u19268)), _u19269), _u19270)), c_List_Olistrel1(_u19268, _u19271))) | ( _u19269 = hAPP(hAPP(c_List_Oappend(_u19268), skolem480(_u19271, _u19270, _u19269, _u19268)), hAPP(hAPP(c_List_Olist_OCons(_u19268), skolem478(_u19271, _u19270, _u19269, _u19268)), skolem481(_u19271, _u19270, _u19269, _u19268)))) )).
% 13.06/13.29 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19268), tc_List_Olist(_u19268))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19268), tc_List_Olist(_u19268)), _u19269), _u19270)), c_List_Olistrel1(_u19268, _u19271))) | ( _u19270 = hAPP(hAPP(c_List_Oappend(_u19268), skolem480(_u19271, _u19270, _u19269, _u19268)), hAPP(hAPP(c_List_Olist_OCons(_u19268), skolem479(_u19271, _u19270, _u19269, _u19268)), skolem481(_u19271, _u19270, _u19269, _u19268)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u19272), _u19273) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19272), _u19272, c_List_Olist_ONil(_u19272), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19272), tc_fun(tc_List_Olist(_u19272), tc_List_Olist(_u19272)), _u19272), hAPP(c_COMBC(tc_List_Olist(_u19272), tc_List_Olist(_u19272), tc_List_Olist(_u19272)), c_List_Oappend(_u19272))), hAPP(hAPP(c_COMBC(_u19272, tc_List_Olist(_u19272), tc_List_Olist(_u19272)), c_List_Olist_OCons(_u19272)), c_List_Olist_ONil(_u19272)))), _u19273)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19274), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19275)), _u19276))) | ( hAPP(hAPP(c_List_Olist__update(_u19275, _u19276), _u19274), _u19277) = hAPP(hAPP(c_List_Oappend(_u19275), hAPP(hAPP(c_List_Otake(_u19275), _u19274), _u19276)), hAPP(hAPP(c_List_Olist_OCons(_u19275), _u19277), hAPP(hAPP(c_List_Odrop(_u19275), hAPP(c_Nat_OSuc, _u19274)), _u19276)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19278), _u19279), hAPP(hAPP(c_List_Oappend(_u19278), _u19280), _u19281)) = hAPP(hAPP(c_List_Oappend(_u19278), hAPP(hAPP(c_List_Odrop(_u19278), _u19279), _u19280)), hAPP(hAPP(c_List_Odrop(_u19278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19279), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19278)), _u19280))), _u19281))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19282), _u19283), c_List_Olist_ONil(_u19282)) = c_List_Olist_ONil(_u19282)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u19286), _u19288) != c_List_Olist_ONil(_u19286)) | ( _u19288 = c_List_Olist_ONil(_u19286)) )).
% 13.06/13.29 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u19289 != c_List_Olist_ONil(_u19287)) | ( hAPP(c_List_Orotate1(_u19287), _u19289) = c_List_Olist_ONil(_u19287)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19290), _u19291), hAPP(hAPP(c_List_Otake(_u19290), _u19292), _u19293)) = hAPP(hAPP(c_List_Otake(_u19290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19292), _u19291)), hAPP(hAPP(c_List_Odrop(_u19290), _u19291), _u19293))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19294), _u19295), hAPP(hAPP(c_List_Odrop(_u19294), _u19296), _u19297)) = hAPP(hAPP(c_List_Odrop(_u19294), _u19296), hAPP(hAPP(c_List_Otake(_u19294), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19295), _u19296)), _u19297))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19298), _u19299), hAPP(c_List_Oset(_u19298), hAPP(hAPP(c_List_Odrop(_u19298), _u19300), _u19301)))) | hBOOL(hAPP(hAPP(c_member(_u19298), _u19299), hAPP(c_List_Oset(_u19298), _u19301))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u19302), hAPP(c_List_Orotate1(_u19302), _u19303)) = hAPP(c_List_Oset(_u19302), _u19303)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19304, tc_HOL_Obool)), hAPP(c_List_Oset(_u19304), hAPP(hAPP(c_List_Odrop(_u19304), _u19305), _u19306))), hAPP(c_List_Oset(_u19304), _u19306))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19309), hAPP(c_List_Orotate1(_u19309), _u19311))) | hBOOL(hAPP(c_List_Odistinct(_u19309), _u19311)) )).
% 13.06/13.29 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19310), _u19312)) | hBOOL(hAPP(c_List_Odistinct(_u19310), hAPP(c_List_Orotate1(_u19310), _u19312))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19313), _u19314)) | hBOOL(hAPP(c_List_Odistinct(_u19313), hAPP(hAPP(c_List_Odrop(_u19313), _u19315), _u19314))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19316), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19317) = _u19317) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19318), _u19319), hAPP(hAPP(c_List_Odrop(_u19318), _u19320), _u19321)) = hAPP(hAPP(c_List_Odrop(_u19318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19319), _u19320)), _u19321)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u19322, _u19323)), _u19324), hAPP(hAPP(c_List_Ozip(_u19322, _u19323), _u19325), _u19326)) = hAPP(hAPP(c_List_Ozip(_u19322, _u19323), hAPP(hAPP(c_List_Odrop(_u19322), _u19324), _u19325)), hAPP(hAPP(c_List_Odrop(_u19323), _u19324), _u19326))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19327), _u19328), hAPP(hAPP(c_List_Omap(_u19329, _u19327), _u19330), _u19331)) = hAPP(hAPP(c_List_Omap(_u19329, _u19327), _u19330), hAPP(hAPP(c_List_Odrop(_u19329), _u19328), _u19331))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19332)), hAPP(c_List_Orotate1(_u19332), _u19333)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19332)), _u19333)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19334)), hAPP(hAPP(c_List_Odrop(_u19334), _u19335), _u19336)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19334)), _u19336)), _u19335)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19337), hAPP(c_Nat_OSuc, _u19338)), hAPP(hAPP(c_List_Olist_OCons(_u19337), _u19339), _u19340)) = hAPP(hAPP(c_List_Odrop(_u19337), _u19338), _u19340)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19341), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19341), _u19342), _u19343)) = _u19343) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19344), _u19345), _u19346) != hAPP(hAPP(c_List_Olist_OCons(_u19344), _u19347), _u19348)) | ( hAPP(hAPP(c_List_Onth(_u19344), _u19346), _u19345) = _u19347) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 13.06/13.29 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(_u19349)), _u19350)), _u19351)) | ( hAPP(hAPP(c_List_Odrop(_u19349), _u19351), _u19350) = c_List_Olist_ONil(_u19349)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19355), _u19357), _u19359) != c_List_Olist_ONil(_u19355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19355)), _u19359)), _u19357)) )).
% 13.06/13.29 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(_u19356)), _u19360)), _u19358)) | ( hAPP(hAPP(c_List_Odrop(_u19356), _u19358), _u19360) = c_List_Olist_ONil(_u19356)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19361), _u19362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19363, tc_HOL_Obool)), hAPP(c_List_Oset(_u19363), hAPP(hAPP(c_List_Odrop(_u19363), _u19362), _u19364))), hAPP(c_List_Oset(_u19363), hAPP(hAPP(c_List_Odrop(_u19363), _u19361), _u19364)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19365), hAPP(hAPP(c_List_Otake(_u19365), _u19366), _u19367)), hAPP(hAPP(c_List_Odrop(_u19365), _u19366), _u19367)) = _u19367) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19372), _u19374), _u19376) != _u19378) | ( _u19374 = hAPP(hAPP(c_List_Otake(_u19372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19372)), _u19374)), _u19378)) )).
% 13.06/13.29 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19372), _u19374), _u19376) != _u19378) | ( _u19376 = hAPP(hAPP(c_List_Odrop(_u19372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19372)), _u19374)), _u19378)) )).
% 13.06/13.29 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u19375 != hAPP(hAPP(c_List_Otake(_u19373), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19373)), _u19375)), _u19379)) | ( _u19377 != hAPP(hAPP(c_List_Odrop(_u19373), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19373)), _u19375)), _u19379)) | ( hAPP(hAPP(c_List_Oappend(_u19373), _u19375), _u19377) = _u19379) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19380), _u19381), hAPP(hAPP(c_List_Olist_OCons(_u19380), _u19382), _u19383)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19380), hAPP(hAPP(c_List_Olist_OCons(_u19380), _u19382), _u19383), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19380), tc_List_Olist(_u19380)), c_List_Odrop(_u19380)), _u19383), _u19381)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__Cons_H-1, axiom, ( ( _u19388 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19390), _u19388), hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394)) = hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394)) )).
% 13.06/13.29 cnf(fact_drop__Cons_H-2, axiom, ( ( _u19389 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19391), _u19389), hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19395)) = hAPP(hAPP(c_List_Odrop(_u19391), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19389), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19395)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 13.06/13.29 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), _u19396), _u19397)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19398)), _u19399))) | ( hAPP(hAPP(c_List_Onth(_u19398), hAPP(hAPP(c_List_Odrop(_u19398), _u19396), _u19399)), _u19397) = hAPP(hAPP(c_List_Onth(_u19398), _u19399), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19396), _u19397))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( _u19407 = hAPP(hAPP(c_List_Otake(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), _u19411)) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( _u19409 = hAPP(hAPP(c_List_Oappend(_u19405), hAPP(hAPP(c_List_Odrop(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), _u19411)), _u19413)) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( hAPP(hAPP(c_List_Otake(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411)), _u19407) = _u19411) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( hAPP(hAPP(c_List_Oappend(_u19405), hAPP(hAPP(c_List_Odrop(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411)), _u19407)), _u19409) = _u19413) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19406), _u19408), _u19410) = hAPP(hAPP(c_List_Oappend(_u19406), _u19412), _u19414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412))) | ( hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408) != _u19412) | ( hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408)), _u19410) != _u19414) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19406), _u19408), _u19410) = hAPP(hAPP(c_List_Oappend(_u19406), _u19412), _u19414)) | ( _u19408 != hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)) | ( _u19410 != hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)), _u19414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412))) )).
% 13.06/13.29 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19406), _u19408), _u19410) = hAPP(hAPP(c_List_Oappend(_u19406), _u19412), _u19414)) | ( _u19408 != hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)) | ( _u19410 != hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)), _u19414)) | ( hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408) != _u19412) | ( hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408)), _u19410) != _u19414) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19415), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19416)), _u19417))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19416), hAPP(hAPP(c_List_Onth(_u19416), _u19417), _u19415)), hAPP(hAPP(c_List_Odrop(_u19416), hAPP(c_Nat_OSuc, _u19415)), _u19417)) = hAPP(hAPP(c_List_Odrop(_u19416), _u19415), _u19417)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u19418), c_List_Olist_ONil(_u19418)) = c_List_Olist_ONil(_u19418)) )).
% 13.06/13.29 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u19419), hAPP(hAPP(c_List_Olist_OCons(_u19419), _u19420), _u19421)) = hAPP(hAPP(c_List_Oappend(_u19419), _u19421), hAPP(hAPP(c_List_Olist_OCons(_u19419), _u19420), c_List_Olist_ONil(_u19419)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19426) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19428), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19426)), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19430), _u19432)) = hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19430), _u19432)) )).
% 13.06/13.29 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19427) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19429), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19427)), hAPP(hAPP(c_List_Olist_OCons(_u19429), _u19431), _u19433)) = hAPP(hAPP(c_List_Odrop(_u19429), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19427)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19433)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__add ( axiom ) converted to clauses:
% 13.06/13.29 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), _u19434), _u19435)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19436)), _u19437))) | ( hAPP(hAPP(c_List_Otake(_u19436), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19434), _u19435)), _u19437) = hAPP(hAPP(c_List_Oappend(_u19436), hAPP(hAPP(c_List_Otake(_u19436), _u19434), _u19437)), hAPP(hAPP(c_List_Otake(_u19436), _u19435), hAPP(hAPP(c_List_Odrop(_u19436), _u19434), _u19437)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 13.06/13.29 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(_u19438)), _u19439)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u19438), _u19439) = _u19439) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19440, _u19441), hAPP(hAPP(c_List_Oappend(_u19440), _u19442), _u19443)), _u19444) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19440, _u19441)), hAPP(hAPP(c_List_Ozip(_u19440, _u19441), _u19442), hAPP(hAPP(c_List_Otake(_u19441), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19440)), _u19442)), _u19444))), hAPP(hAPP(c_List_Ozip(_u19440, _u19441), _u19443), hAPP(hAPP(c_List_Odrop(_u19441), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19440)), _u19442)), _u19444)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19445, _u19446), _u19447), hAPP(hAPP(c_List_Oappend(_u19446), _u19448), _u19449)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19445, _u19446)), hAPP(hAPP(c_List_Ozip(_u19445, _u19446), hAPP(hAPP(c_List_Otake(_u19445), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19446)), _u19448)), _u19447)), _u19448)), hAPP(hAPP(c_List_Ozip(_u19445, _u19446), hAPP(hAPP(c_List_Odrop(_u19445), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19446)), _u19448)), _u19447)), _u19449))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19450), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19451)), _u19452))) | ( _u19452 = hAPP(hAPP(c_List_Oappend(_u19451), hAPP(hAPP(c_List_Otake(_u19451), _u19450), _u19452)), hAPP(hAPP(c_List_Olist_OCons(_u19451), hAPP(hAPP(c_List_Onth(_u19451), _u19452), _u19450)), hAPP(hAPP(c_List_Odrop(_u19451), hAPP(c_Nat_OSuc, _u19450)), _u19452)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19453), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19454)), _u19455))) | ( hAPP(hAPP(c_List_Oappend(_u19454), hAPP(hAPP(c_List_Otake(_u19454), _u19453), _u19455)), hAPP(hAPP(c_List_Olist_OCons(_u19454), hAPP(c_List_Ohd(_u19454), hAPP(hAPP(c_List_Odrop(_u19454), _u19453), _u19455))), c_List_Olist_ONil(_u19454))) = hAPP(hAPP(c_List_Otake(_u19454), hAPP(c_Nat_OSuc, _u19453)), _u19455)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u19456 = c_List_Olist_ONil(_u19457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19458), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19457)), _u19456))) | ( hAPP(c_List_Ohd(_u19457), hAPP(hAPP(c_List_Odrop(_u19457), _u19458), _u19456)) = hAPP(hAPP(c_List_Onth(_u19457), _u19456), _u19458)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__append2-1, axiom, ( ( _u19459 = c_List_Olist_ONil(_u19460)) | ( hAPP(c_List_Ohd(_u19460), hAPP(hAPP(c_List_Oappend(_u19460), _u19459), _u19461)) = hAPP(c_List_Ohd(_u19460), _u19459)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__append-1, axiom, ( ( _u19465 != c_List_Olist_ONil(_u19467)) | ( hAPP(c_List_Ohd(_u19467), hAPP(hAPP(c_List_Oappend(_u19467), _u19465), _u19469)) = hAPP(c_List_Ohd(_u19467), _u19469)) )).
% 13.06/13.29 cnf(fact_hd__append-2, axiom, ( ( _u19466 = c_List_Olist_ONil(_u19468)) | ( hAPP(c_List_Ohd(_u19468), hAPP(hAPP(c_List_Oappend(_u19468), _u19466), _u19470)) = hAPP(c_List_Ohd(_u19468), _u19466)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u19471), hAPP(hAPP(c_List_Olist_OCons(_u19471), _u19472), _u19473)) = _u19472) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__map-1, axiom, ( ( _u19474 = c_List_Olist_ONil(_u19475)) | ( hAPP(c_List_Ohd(_u19476), hAPP(hAPP(c_List_Omap(_u19475, _u19476), _u19477), _u19474)) = hAPP(_u19477, hAPP(c_List_Ohd(_u19475), _u19474))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__in__set-1, axiom, ( ( _u19478 = c_List_Olist_ONil(_u19479)) | hBOOL(hAPP(hAPP(c_member(_u19479), hAPP(c_List_Ohd(_u19479), _u19478)), hAPP(c_List_Oset(_u19479), _u19478))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__conv__nth-1, axiom, ( ( _u19480 = c_List_Olist_ONil(_u19481)) | ( hAPP(c_List_Ohd(_u19481), _u19480) = hAPP(hAPP(c_List_Onth(_u19481), _u19480), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u19482 = c_List_Olist_ONil(_u19483)) | ( hAPP(c_List_Orotate1(_u19483), _u19482) = hAPP(hAPP(c_List_Oappend(_u19483), hAPP(c_List_Otl(_u19483), _u19482)), hAPP(hAPP(c_List_Olist_OCons(_u19483), hAPP(c_List_Ohd(_u19483), _u19482)), c_List_Olist_ONil(_u19483)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u19484 = c_List_Olist_ONil(_u19485)) | ( hAPP(c_List_Ohd(_u19485), hAPP(c_List_Orotate(_u19485, _u19486), _u19484)) = hAPP(hAPP(c_List_Onth(_u19485), _u19484), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19486, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19485)), _u19484)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19487), hAPP(c_Nat_OSuc, _u19488)), _u19489) = hAPP(hAPP(c_List_Odrop(_u19487), _u19488), hAPP(c_List_Otl(_u19487), _u19489))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19490), _u19491), hAPP(c_List_Otl(_u19490), _u19492)) = hAPP(c_List_Otl(_u19490), hAPP(hAPP(c_List_Odrop(_u19490), _u19491), _u19492))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u19493), hAPP(hAPP(c_List_Odrop(_u19493), _u19494), _u19495)) = hAPP(hAPP(c_List_Odrop(_u19493), _u19494), hAPP(c_List_Otl(_u19493), _u19495))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u19496), c_List_Olist_ONil(_u19496)) = c_List_Olist_ONil(_u19496)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u19500, _u19502), _u19504) != c_List_Olist_ONil(_u19500)) | ( _u19504 = c_List_Olist_ONil(_u19500)) )).
% 13.06/13.29 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u19505 != c_List_Olist_ONil(_u19501)) | ( hAPP(c_List_Orotate(_u19501, _u19503), _u19505) = c_List_Olist_ONil(_u19501)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19506), _u19507), hAPP(c_List_Otl(_u19506), _u19508)) = hAPP(c_List_Otl(_u19506), hAPP(hAPP(c_List_Otake(_u19506), hAPP(c_Nat_OSuc, _u19507)), _u19508))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u19509), hAPP(c_List_Orotate(_u19509, _u19510), _u19511)) = hAPP(c_List_Oset(_u19509), _u19511)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19515), hAPP(c_List_Orotate(_u19515, _u19517), _u19519))) | hBOOL(hAPP(c_List_Odistinct(_u19515), _u19519)) )).
% 13.06/13.29 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19516), _u19520)) | hBOOL(hAPP(c_List_Odistinct(_u19516), hAPP(c_List_Orotate(_u19516, _u19518), _u19520))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19521), _u19522)) | hBOOL(hAPP(c_List_Odistinct(_u19521), hAPP(c_List_Otl(_u19521), _u19522))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u19523, _u19524), hAPP(c_List_Orotate(_u19523, _u19525), _u19526)) = hAPP(c_List_Orotate(_u19523, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19524), _u19525)), _u19526)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u19527, _u19528), hAPP(hAPP(c_List_Omap(_u19529, _u19527), _u19530), _u19531)) = hAPP(hAPP(c_List_Omap(_u19529, _u19527), _u19530), hAPP(c_List_Orotate(_u19529, _u19528), _u19531))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19532, _u19533), _u19534), hAPP(c_List_Otl(_u19532), _u19535)) = hAPP(c_List_Otl(_u19533), hAPP(hAPP(c_List_Omap(_u19532, _u19533), _u19534), _u19535))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19536)), hAPP(c_List_Orotate(_u19536, _u19537), _u19538)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19536)), _u19538)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u19539, _u19540), _u19541) = hAPP(c_List_Orotate(_u19539, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19540, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19539)), _u19541))), _u19541)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u19542), hAPP(hAPP(c_List_Olist_OCons(_u19542), _u19543), _u19544)) = _u19544) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_tl__append2-1, axiom, ( ( _u19545 = c_List_Olist_ONil(_u19546)) | ( hAPP(c_List_Otl(_u19546), hAPP(hAPP(c_List_Oappend(_u19546), _u19545), _u19547)) = hAPP(hAPP(c_List_Oappend(_u19546), hAPP(c_List_Otl(_u19546), _u19545)), _u19547)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u19548), hAPP(c_List_Orotate(_u19548, _u19549), _u19550)) = hAPP(c_List_Orotate(_u19548, _u19549), hAPP(c_List_Orotate1(_u19548), _u19550))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u19551, hAPP(c_Nat_OSuc, _u19552)), _u19553) = hAPP(c_List_Orotate1(_u19551), hAPP(c_List_Orotate(_u19551, _u19552), _u19553))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u19554, _u19555) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u19554), tc_List_Olist(_u19554)), _u19555), c_List_Orotate1(_u19554))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u19556), hAPP(hAPP(c_List_Oappend(_u19556), _u19557), _u19558)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19556), _u19556, hAPP(c_List_Otl(_u19556), _u19558), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19556), tc_List_Olist(_u19556)), _u19556), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19556), tc_List_Olist(_u19556), tc_List_Olist(_u19556)), c_List_Oappend(_u19556)), _u19558))), _u19557)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u19559, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u19559))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u19560, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19561), _u19562)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u19560), tc_List_Olist(_u19560), tc_List_Olist(_u19560), c_List_Orotate(_u19560, _u19561)), c_List_Orotate(_u19560, _u19562))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19563, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19564)), _u19565)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u19564, _u19563), _u19565) = _u19565) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 13.06/13.29 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(_u19566)), _u19567)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u19566, _u19568), _u19567) = _u19567) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19569)), hAPP(c_List_Otl(_u19569), _u19570)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19569)), _u19570)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u19571), hAPP(hAPP(c_List_Otake(_u19571), _u19572), _u19573)) = hAPP(hAPP(c_List_Otake(_u19571), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19572), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u19571), _u19573))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_take__Suc-1, axiom, ( ( _u19574 = c_List_Olist_ONil(_u19575)) | ( hAPP(hAPP(c_List_Otake(_u19575), hAPP(c_Nat_OSuc, _u19576)), _u19574) = hAPP(hAPP(c_List_Olist_OCons(_u19575), hAPP(c_List_Ohd(_u19575), _u19574)), hAPP(hAPP(c_List_Otake(_u19575), _u19576), hAPP(c_List_Otl(_u19575), _u19574)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u19577, _u19578), _u19579) = hAPP(hAPP(c_List_Oappend(_u19577), hAPP(hAPP(c_List_Odrop(_u19577), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19578, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19577)), _u19579))), _u19579)), hAPP(hAPP(c_List_Otake(_u19577), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19578, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19577)), _u19579))), _u19579))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19580) | ( _u19581 = c_List_Olist_ONil(_u19580)) | ( hAPP(c_Finite__Set_Ofold1(_u19580, c_Groups_Otimes__class_Otimes(_u19580)), hAPP(c_List_Oset(_u19580), _u19581)) = hAPP(c_List_Ofoldl(_u19580, _u19580, c_Groups_Otimes__class_Otimes(_u19580), hAPP(c_List_Ohd(_u19580), _u19581)), hAPP(c_List_Otl(_u19580), _u19581))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u19582, _u19583, hAPP(hAPP(c_List_Olist_OCons(_u19582), _u19584), _u19585)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19583, _u19584)), c_List_Olist_Olist__size(_u19582, _u19583, _u19585))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19586, _u19587, _u19588, _u19589), hAPP(hAPP(c_List_Oappend(_u19587), _u19590), _u19591)) = hAPP(c_List_Ofoldl(_u19586, _u19587, _u19588, hAPP(c_List_Ofoldl(_u19586, _u19587, _u19588, _u19589), _u19590)), _u19591)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19592, _u19593, _u19594, _u19595), hAPP(hAPP(c_List_Olist_OCons(_u19593), _u19596), _u19597)) = hAPP(c_List_Ofoldl(_u19592, _u19593, _u19594, hAPP(hAPP(_u19594, _u19595), _u19596)), _u19597)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19598, _u19599, _u19600, _u19601), hAPP(hAPP(c_List_Omap(_u19602, _u19599), _u19603), _u19604)) = hAPP(c_List_Ofoldl(_u19598, _u19602, hAPP(hAPP(c_COMBC(_u19598, tc_fun(_u19602, _u19599), tc_fun(_u19602, _u19598)), hAPP(hAPP(c_COMBB(tc_fun(_u19599, _u19598), tc_fun(tc_fun(_u19602, _u19599), tc_fun(_u19602, _u19598)), _u19598), c_COMBB(_u19599, _u19598, _u19602)), _u19600)), _u19603), _u19601), _u19604)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u19605, _u19606, hAPP(hAPP(c_List_Omap(_u19607, _u19605), _u19608), _u19609)) = c_List_Olist_Olist__size(_u19607, hAPP(c_Fun_Ocomp(_u19605, tc_Nat_Onat, _u19607, _u19606), _u19608), _u19609)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u19610) | ( c_List_Ofoldr(_u19610, _u19610, c_Groups_Oplus__class_Oplus(_u19610), _u19611, _u19612) = hAPP(c_List_Ofoldl(_u19610, _u19610, c_Groups_Oplus__class_Oplus(_u19610), _u19612), _u19611)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u19613) | ( hAPP(c_List_Ofoldl(_u19613, _u19613, c_Groups_Oplus__class_Oplus(_u19613), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19613), _u19614), _u19615)), _u19616) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19613), _u19614), hAPP(c_List_Ofoldl(_u19613, _u19613, c_Groups_Oplus__class_Oplus(_u19613), _u19615), _u19616))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u19617) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19617), _u19618), hAPP(c_List_Ofoldl(_u19617, _u19617, c_Groups_Oplus__class_Oplus(_u19617), c_Groups_Ozero__class_Ozero(_u19617)), _u19619)) = hAPP(c_List_Ofoldl(_u19617, _u19617, c_Groups_Oplus__class_Oplus(_u19617), _u19618), _u19619)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19620), _u19621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19620), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19621), _u19622))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19623, _u19624, _u19625, _u19626), c_List_Olist_ONil(_u19624)) = _u19626) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u19627) | ( c_List_Omonoid__add__class_Olistsum(_u19627) = c_List_Ofoldl(_u19627, _u19627, c_Groups_Oplus__class_Oplus(_u19627), c_Groups_Ozero__class_Ozero(_u19627))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u19628) | ( hAPP(c_List_Ofoldl(_u19628, _u19628, c_Groups_Oplus__class_Oplus(_u19628), c_Groups_Ozero__class_Ozero(_u19628)), _u19629) = c_List_Ofoldr(_u19628, _u19628, c_Groups_Oplus__class_Oplus(_u19628), _u19629, c_Groups_Ozero__class_Ozero(_u19628))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u19630) | ( hAPP(c_List_Ofoldl(_u19630, _u19630, c_Groups_Oplus__class_Oplus(_u19630), _u19631), _u19632) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19630), _u19631), c_List_Ofoldr(_u19630, _u19630, c_Groups_Oplus__class_Oplus(_u19630), _u19632, c_Groups_Ozero__class_Ozero(_u19630)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 13.06/13.29 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), _u19637), _u19639) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19637 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.29 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), _u19637), _u19639) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19633), hAPP(c_List_Oset(tc_Nat_Onat), _u19639))) | ( _u19633 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.29 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), _u19638), _u19640) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19638 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem482(_u19640, _u19638)), hAPP(c_List_Oset(tc_Nat_Onat), _u19640))) )).
% 13.06/13.29 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), _u19638), _u19640) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19638 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem482(_u19640, _u19638) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u19641, _u19642, c_List_Olist_ONil(_u19641)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19643, _u19644, _u19645) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19643, _u19644, _u19645), _u19646), hAPP(c_List_Oset(_u19643), _u19647)) = hAPP(c_List_Ofoldl(_u19644, _u19643, hAPP(c_COMBC(_u19643, _u19644, _u19644), _u19645), _u19646), _u19647)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19648) | ( c_Complete__Lattice_OSup__class_OSup(_u19648, hAPP(c_List_Oset(_u19648), _u19649)) = hAPP(c_List_Ofoldl(_u19648, _u19648, c_Lattices_Osemilattice__sup__class_Osup(_u19648), c_Orderings_Obot__class_Obot(_u19648)), _u19649)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19650) | ( c_Complete__Lattice_OInf__class_OInf(_u19650, hAPP(c_List_Oset(_u19650), _u19651)) = hAPP(c_List_Ofoldl(_u19650, _u19650, c_Lattices_Osemilattice__inf__class_Oinf(_u19650), c_Orderings_Otop__class_Otop(_u19650)), _u19651)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u19652) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19652, hAPP(c_List_Oset(_u19652), hAPP(hAPP(c_List_Olist_OCons(_u19652), _u19653), _u19654))) = hAPP(c_List_Ofoldl(_u19652, _u19652, c_Lattices_Osemilattice__sup__class_Osup(_u19652), _u19653), _u19654)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u19655) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19655, hAPP(c_List_Oset(_u19655), hAPP(hAPP(c_List_Olist_OCons(_u19655), _u19656), _u19657))) = hAPP(c_List_Ofoldl(_u19655, _u19655, c_Lattices_Osemilattice__inf__class_Oinf(_u19655), _u19656), _u19657)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19658) | ( c_Big__Operators_Olinorder__class_OMin(_u19658, hAPP(c_List_Oset(_u19658), hAPP(hAPP(c_List_Olist_OCons(_u19658), _u19659), _u19660))) = hAPP(c_List_Ofoldl(_u19658, _u19658, c_Orderings_Oord__class_Omin(_u19658), _u19659), _u19660)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19661) | ( c_Big__Operators_Olinorder__class_OMax(_u19661, hAPP(c_List_Oset(_u19661), hAPP(hAPP(c_List_Olist_OCons(_u19661), _u19662), _u19663))) = hAPP(c_List_Ofoldl(_u19661, _u19661, c_Orderings_Oord__class_Omax(_u19661), _u19662), _u19663)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19664) | ( c_Big__Operators_Olattice_OInf__fin(_u19664, c_Orderings_Oord__class_Omin(_u19664), hAPP(c_List_Oset(_u19664), hAPP(hAPP(c_List_Olist_OCons(_u19664), _u19665), _u19666))) = hAPP(c_List_Ofoldl(_u19664, _u19664, c_Orderings_Oord__class_Omin(_u19664), _u19665), _u19666)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u19667) | ( c_Big__Operators_Olattice_OSup__fin(_u19667, c_Orderings_Oord__class_Omax(_u19667), hAPP(c_List_Oset(_u19667), hAPP(hAPP(c_List_Olist_OCons(_u19667), _u19668), _u19669))) = hAPP(c_List_Ofoldl(_u19667, _u19667, c_Orderings_Oord__class_Omax(_u19667), _u19668), _u19669)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19670) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19671, _u19670), hAPP(c_List_Oset(_u19671), _u19672)), _u19673) = hAPP(c_List_Ofoldl(_u19670, _u19671, hAPP(c_COMBC(_u19671, _u19670, _u19670), hAPP(hAPP(c_COMBB(_u19670, tc_fun(_u19670, _u19670), _u19671), c_Lattices_Osemilattice__sup__class_Osup(_u19670)), _u19673)), c_Orderings_Obot__class_Obot(_u19670)), _u19672)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19674) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19675, _u19674), hAPP(c_List_Oset(_u19675), _u19676)), _u19677) = hAPP(c_List_Ofoldl(_u19674, _u19675, hAPP(c_COMBC(_u19675, _u19674, _u19674), hAPP(hAPP(c_COMBB(_u19674, tc_fun(_u19674, _u19674), _u19675), c_Lattices_Osemilattice__inf__class_Oinf(_u19674)), _u19677)), c_Orderings_Otop__class_Otop(_u19674)), _u19676)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19678), _u19679), hAPP(c_List_Oset(_u19678), _u19680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19681), hAPP(_u19682, _u19679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19681), c_List_Olist_Olist__size(_u19678, _u19682, _u19680))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19683), _u19684), hAPP(c_List_Oset(_u19683), _u19685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19686), hAPP(_u19687, _u19684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19686), c_List_Olist_Olist__size(_u19683, _u19687, _u19685))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__upds__fold__map__upd ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__upds__fold__map__upd-1, axiom, ( ( c_Map_Omap__upds(_u19688, _u19689, _u19690, _u19691, _u19692) = hAPP(c_List_Ofoldl(tc_fun(_u19688, tc_Option_Ooption(_u19689)), tc_prod(_u19688, _u19689), hAPP(hAPP(c_COMBB(tc_fun(_u19688, tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689)))), tc_fun(tc_prod(_u19688, _u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689))), tc_fun(_u19688, tc_Option_Ooption(_u19689))), c_Product__Type_Oprod_Oprod__case(_u19688, _u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689)))), hAPP(hAPP(c_COMBC(tc_fun(_u19688, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19688, tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), hAPP(hAPP(c_COMBB(tc_fun(_u19688, tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19688, tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), tc_fun(_u19688, tc_Option_Ooption(_u19689))), c_COMBC(_u19688, tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), hAPP(hAPP(c_COMBB(tc_fun(_u19688, tc_fun(tc_Option_Ooption(_u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689)))), tc_fun(_u19688, tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), tc_fun(_u19688, tc_Option_Ooption(_u19689))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689))), tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689)))), _u19688), c_COMBB(tc_Option_Ooption(_u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689)), _u19689))), c_Fun_Ofun__upd(_u19688, tc_Option_Ooption(_u19689))))), c_Option_Ooption_OSome(_u19689))), _u19690), hAPP(hAPP(c_List_Ozip(_u19688, _u19689), _u19691), _u19692))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19693), hAPP(c_List_Oset(tc_Nat_Onat), _u19694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19693), 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)), _u19694))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u19695, _u19696, _u19697) = 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(_u19695, tc_Nat_Onat), _u19696), _u19697))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19695)), _u19697))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19698, _u19698), tc_HOL_Obool)), _u19699), hAPP(hAPP(c_Product__Type_OSigma(_u19698, _u19698), _u19700), hAPP(c_COMBK(tc_fun(_u19698, tc_HOL_Obool), _u19698), _u19700)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19698), tc_List_Olist(_u19698)), tc_HOL_Obool)), c_List_Olistrel(_u19698, _u19699)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u19698), tc_List_Olist(_u19698)), c_List_Olists(_u19698, _u19700)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19698), tc_HOL_Obool), tc_List_Olist(_u19698)), c_List_Olists(_u19698, _u19700))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19701)), _u19702), c_Wellfounded_Oacc(tc_List_Olist(_u19701), c_List_Olistrel1(_u19701, _u19703)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19701)), _u19702), c_List_Olists(_u19701, c_Wellfounded_Oacc(_u19701, _u19703)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19704)), c_List_Olist_ONil(_u19704)), c_List_Olists(_u19704, _u19705))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u19706, _u19707, _u19708) | c_Relation_Orefl__on(tc_List_Olist(_u19706), c_List_Olists(_u19706, _u19707), c_List_Olistrel(_u19706, _u19708)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u19709, c_Orderings_Otop__class_Otop(tc_fun(_u19709, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u19709), tc_HOL_Obool))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19710, _u19711, _u19712) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u19710), c_List_Olists(_u19710, _u19711), c_List_Olistrel(_u19710, _u19712)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19713, tc_HOL_Obool)), _u19714), _u19715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u19713), tc_HOL_Obool)), c_List_Olists(_u19713, _u19714)), c_List_Olists(_u19713, _u19715))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), hAPP(hAPP(c_List_Oappend(_u19720), _u19722), _u19724)), c_List_Olists(_u19720, _u19726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), _u19722), c_List_Olists(_u19720, _u19726))) )).
% 13.06/13.29 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), hAPP(hAPP(c_List_Oappend(_u19720), _u19722), _u19724)), c_List_Olists(_u19720, _u19726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), _u19724), c_List_Olists(_u19720, _u19726))) )).
% 13.06/13.29 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19721)), _u19723), c_List_Olists(_u19721, _u19727))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19721)), _u19725), c_List_Olists(_u19721, _u19727))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19721)), hAPP(hAPP(c_List_Oappend(_u19721), _u19723), _u19725)), c_List_Olists(_u19721, _u19727))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19732)), hAPP(hAPP(c_List_Olist_OCons(_u19732), _u19734), _u19736)), c_List_Olists(_u19732, _u19738))) | hBOOL(hAPP(hAPP(c_member(_u19732), _u19734), _u19738)) )).
% 13.06/13.29 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19732)), hAPP(hAPP(c_List_Olist_OCons(_u19732), _u19734), _u19736)), c_List_Olists(_u19732, _u19738))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19732)), _u19736), c_List_Olists(_u19732, _u19738))) )).
% 13.06/13.29 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19733), _u19735), _u19739)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19733)), _u19737), c_List_Olists(_u19733, _u19739))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19733)), hAPP(hAPP(c_List_Olist_OCons(_u19733), _u19735), _u19737)), c_List_Olists(_u19733, _u19739))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), _u19747), c_List_Olists(_u19745, _u19749))) | ~hBOOL(hAPP(hAPP(c_member(_u19745), _u19740), hAPP(c_List_Oset(_u19745), _u19747))) | hBOOL(hAPP(hAPP(c_member(_u19745), _u19740), _u19749)) )).
% 13.06/13.29 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19746)), _u19748), c_List_Olists(_u19746, _u19750))) | hBOOL(hAPP(hAPP(c_member(_u19746), skolem483(_u19750, _u19748, _u19746)), hAPP(c_List_Oset(_u19746), _u19748))) )).
% 13.06/13.29 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19746)), _u19748), c_List_Olists(_u19746, _u19750))) | ~hBOOL(hAPP(hAPP(c_member(_u19746), skolem483(_u19750, _u19748, _u19746)), _u19750)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u19751, _u19752) = hAPP(c_Set_OCollect(tc_List_Olist(_u19751)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19751), tc_fun(_u19751, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u19751, tc_HOL_Obool), tc_fun(tc_fun(_u19751, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u19751)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u19751, tc_HOL_Obool))), c_List_Oset(_u19751))), _u19752))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u19753, c_Orderings_Obot__class_Obot(tc_fun(_u19753, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u19753)), c_List_Olist_ONil(_u19753)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u19753), tc_HOL_Obool)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19754)), _u19755), c_List_Olists(_u19754, c_Wellfounded_Oacc(_u19754, _u19756)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19754)), _u19755), c_Wellfounded_Oacc(tc_List_Olist(_u19754), c_List_Olistrel1(_u19754, _u19756)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u19759 != hAPP(hAPP(c_List_Olist_OCons(_u19760), _u19758), _u19757)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19760), tc_List_Olist(_u19760))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19760), tc_List_Olist(_u19760)), _u19761), hAPP(hAPP(c_List_Oappend(_u19760), _u19761), _u19759))), c_List_Olexord(_u19760, _u19762))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19770), tc_List_Olist(_u19770))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19770), tc_List_Olist(_u19770)), c_List_Olist_ONil(_u19770)), _u19772)), c_List_Olexord(_u19770, _u19774))) | ( _u19772 = hAPP(hAPP(c_List_Olist_OCons(_u19770), skolem484(_u19774, _u19772, _u19770)), skolem485(_u19774, _u19772, _u19770))) )).
% 13.06/13.29 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u19773 != hAPP(hAPP(c_List_Olist_OCons(_u19771), _u19766), _u19765)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19771), tc_List_Olist(_u19771))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19771), tc_List_Olist(_u19771)), c_List_Olist_ONil(_u19771)), _u19773)), c_List_Olexord(_u19771, _u19775))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__list__update-1, axiom, ( ( _u19776 = c_List_Olist_ONil(_u19777)) | ( _u19778 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19777)), _u19776)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19777, hAPP(hAPP(c_List_Olist__update(_u19777, _u19776), _u19778), _u19779)) = _u19779) )).
% 13.06/13.29 cnf(fact_last__list__update-2, axiom, ( ( _u19776 = c_List_Olist_ONil(_u19777)) | ( _u19778 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19777)), _u19776)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19777, hAPP(hAPP(c_List_Olist__update(_u19777, _u19776), _u19778), _u19779)) = c_List_Olast(_u19777, _u19776)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u19781) | ~class_Groups_Oordered__ab__semigroup__add(_u19781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19781), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19784), _u19783))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19785), _u19783)))) | hBOOL(hAPP(hAPP(c_member(_u19782), skolem486(_u19785, _u19784, _u19783, _u19782, _u19781)), hAPP(c_List_Oset(_u19782), _u19783))) )).
% 13.06/13.29 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u19781) | ~class_Groups_Oordered__ab__semigroup__add(_u19781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19781), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19784), _u19783))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19785), _u19783)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19781), hAPP(_u19784, skolem486(_u19785, _u19784, _u19783, _u19782, _u19781))), hAPP(_u19785, skolem486(_u19785, _u19784, _u19783, _u19782, _u19781)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last_Osimps-1, axiom, ( ( _u19789 != c_List_Olist_ONil(_u19791)) | ( c_List_Olast(_u19791, hAPP(hAPP(c_List_Olist_OCons(_u19791), _u19793), _u19789)) = _u19793) )).
% 13.06/13.29 cnf(fact_last_Osimps-2, axiom, ( ( _u19790 = c_List_Olist_ONil(_u19792)) | ( c_List_Olast(_u19792, hAPP(hAPP(c_List_Olist_OCons(_u19792), _u19794), _u19790)) = c_List_Olast(_u19792, _u19790)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__ConsR-1, axiom, ( ( _u19795 = c_List_Olist_ONil(_u19796)) | ( c_List_Olast(_u19796, hAPP(hAPP(c_List_Olist_OCons(_u19796), _u19797), _u19795)) = c_List_Olast(_u19796, _u19795)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__ConsL-1, axiom, ( ( _u19798 != c_List_Olist_ONil(_u19799)) | ( c_List_Olast(_u19799, hAPP(hAPP(c_List_Olist_OCons(_u19799), _u19800), _u19798)) = _u19800) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__append-1, axiom, ( ( _u19804 != c_List_Olist_ONil(_u19806)) | ( c_List_Olast(_u19806, hAPP(hAPP(c_List_Oappend(_u19806), _u19808), _u19804)) = c_List_Olast(_u19806, _u19808)) )).
% 13.06/13.29 cnf(fact_last__append-2, axiom, ( ( _u19805 = c_List_Olist_ONil(_u19807)) | ( c_List_Olast(_u19807, hAPP(hAPP(c_List_Oappend(_u19807), _u19809), _u19805)) = c_List_Olast(_u19807, _u19805)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__appendR-1, axiom, ( ( _u19810 = c_List_Olist_ONil(_u19811)) | ( c_List_Olast(_u19811, hAPP(hAPP(c_List_Oappend(_u19811), _u19812), _u19810)) = c_List_Olast(_u19811, _u19810)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__appendL-1, axiom, ( ( _u19813 != c_List_Olist_ONil(_u19814)) | ( c_List_Olast(_u19814, hAPP(hAPP(c_List_Oappend(_u19814), _u19815), _u19813)) = c_List_Olast(_u19814, _u19815)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__map-1, axiom, ( ( _u19816 = c_List_Olist_ONil(_u19817)) | ( c_List_Olast(_u19818, hAPP(hAPP(c_List_Omap(_u19817, _u19818), _u19819), _u19816)) = hAPP(_u19819, c_List_Olast(_u19817, _u19816))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__in__set-1, axiom, ( ( _u19820 = c_List_Olist_ONil(_u19821)) | hBOOL(hAPP(hAPP(c_member(_u19821), c_List_Olast(_u19821, _u19820)), hAPP(c_List_Oset(_u19821), _u19820))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u19822, hAPP(hAPP(c_List_Oappend(_u19822), _u19823), hAPP(hAPP(c_List_Olist_OCons(_u19822), _u19824), c_List_Olist_ONil(_u19822)))) = _u19824) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19825), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19826)), _u19827))) | ( c_List_Olast(_u19826, hAPP(hAPP(c_List_Odrop(_u19826), _u19825), _u19827)) = c_List_Olast(_u19826, _u19827)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__conv__nth-1, axiom, ( ( _u19828 = c_List_Olist_ONil(_u19829)) | ( c_List_Olast(_u19829, _u19828) = hAPP(hAPP(c_List_Onth(_u19829), _u19828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19829)), _u19828)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19834), _u19835)), c_List_Olexord(_u19832, _u19833))) | ( _u19834 = _u19835) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19835), _u19834)), c_List_Olexord(_u19832, _u19833))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19832, _u19832)), hAPP(hAPP(c_Product__Type_OPair(_u19832, _u19832), skolem487(_u19835, _u19834, _u19833, _u19832)), skolem488(_u19835, _u19834, _u19833, _u19832))), _u19833)) )).
% 13.06/13.29 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19834), _u19835)), c_List_Olexord(_u19832, _u19833))) | ( _u19834 = _u19835) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19835), _u19834)), c_List_Olexord(_u19832, _u19833))) | ( skolem487(_u19835, _u19834, _u19833, _u19832) != skolem488(_u19835, _u19834, _u19833, _u19832)) )).
% 13.06/13.29 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19834), _u19835)), c_List_Olexord(_u19832, _u19833))) | ( _u19834 = _u19835) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19835), _u19834)), c_List_Olexord(_u19832, _u19833))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19832, _u19832)), hAPP(hAPP(c_Product__Type_OPair(_u19832, _u19832), skolem488(_u19835, _u19834, _u19833, _u19832)), skolem487(_u19835, _u19834, _u19833, _u19832))), _u19833)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19837, _u19837)), hAPP(hAPP(c_Product__Type_OPair(_u19837, _u19837), skolem489(_u19839, _u19838, _u19837)), skolem489(_u19839, _u19838, _u19837))), _u19838)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19837), tc_List_Olist(_u19837))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19837), tc_List_Olist(_u19837)), _u19839), _u19839)), c_List_Olexord(_u19837, _u19838))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), _u19849), c_List_Olists(_u19847, _u19851))) | ( _u19849 = c_List_Olist_ONil(_u19847)) | hBOOL(hAPP(hAPP(c_member(_u19847), skolem490(_u19851, _u19849, _u19847)), _u19851)) )).
% 13.06/13.29 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), _u19849), c_List_Olists(_u19847, _u19851))) | ( _u19849 = c_List_Olist_ONil(_u19847)) | ( _u19849 = hAPP(hAPP(c_List_Olist_OCons(_u19847), skolem490(_u19851, _u19849, _u19847)), skolem491(_u19851, _u19849, _u19847))) )).
% 13.06/13.29 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), _u19849), c_List_Olists(_u19847, _u19851))) | ( _u19849 = c_List_Olist_ONil(_u19847)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), skolem491(_u19851, _u19849, _u19847)), c_List_Olists(_u19847, _u19851))) )).
% 13.06/13.29 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19848)), _u19850), c_List_Olists(_u19848, _u19852))) | ( _u19850 != c_List_Olist_ONil(_u19848)) )).
% 13.06/13.29 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19848)), _u19850), c_List_Olists(_u19848, _u19852))) | ~hBOOL(hAPP(hAPP(c_member(_u19848), _u19843), _u19852)) | ( _u19850 != hAPP(hAPP(c_List_Olist_OCons(_u19848), _u19843), _u19842)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19848)), _u19842), c_List_Olists(_u19848, _u19852))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u19854, _u19856, _u19855)), c_List_Olist_Olist__size(_u19854, _u19857, _u19855))) | hBOOL(hAPP(hAPP(c_member(_u19854), skolem492(_u19857, _u19856, _u19855, _u19854)), hAPP(c_List_Oset(_u19854), _u19855))) )).
% 13.06/13.29 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u19854, _u19856, _u19855)), c_List_Olist_Olist__size(_u19854, _u19857, _u19855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19856, skolem492(_u19857, _u19856, _u19855, _u19854))), hAPP(_u19857, skolem492(_u19857, _u19856, _u19855, _u19854)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19858), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19859)), _u19860))) | ( c_List_Obutlast(_u19859, hAPP(hAPP(c_List_Otake(_u19859), _u19858), _u19860)) = hAPP(hAPP(c_List_Otake(_u19859), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19858), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19860)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19865))) | ( hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19864) = hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem493(_u19865, _u19864, _u19863, _u19862)), _u19862)) )).
% 13.06/13.29 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19865))) | ( hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19864) = hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19865)) | ( hAPP(hAPP(c_List_Onth(_u19863), _u19864), skolem493(_u19865, _u19864, _u19863, _u19862)) != hAPP(hAPP(c_List_Onth(_u19863), _u19865), skolem493(_u19865, _u19864, _u19863, _u19862))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19866, _u19867), _u19868), c_List_Obutlast(_u19866, _u19869)) = c_List_Obutlast(_u19867, hAPP(hAPP(c_List_Omap(_u19866, _u19867), _u19868), _u19869))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast__append-1, axiom, ( ( _u19873 != c_List_Olist_ONil(_u19875)) | ( c_List_Obutlast(_u19875, hAPP(hAPP(c_List_Oappend(_u19875), _u19877), _u19873)) = c_List_Obutlast(_u19875, _u19877)) )).
% 13.06/13.29 cnf(fact_butlast__append-2, axiom, ( ( _u19874 = c_List_Olist_ONil(_u19876)) | ( c_List_Obutlast(_u19876, hAPP(hAPP(c_List_Oappend(_u19876), _u19878), _u19874)) = hAPP(hAPP(c_List_Oappend(_u19876), _u19878), c_List_Obutlast(_u19876, _u19874))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u19882 != c_List_Olist_ONil(_u19884)) | ( c_List_Obutlast(_u19884, hAPP(hAPP(c_List_Olist_OCons(_u19884), _u19886), _u19882)) = c_List_Olist_ONil(_u19884)) )).
% 13.06/13.29 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u19883 = c_List_Olist_ONil(_u19885)) | ( c_List_Obutlast(_u19885, hAPP(hAPP(c_List_Olist_OCons(_u19885), _u19887), _u19883)) = hAPP(hAPP(c_List_Olist_OCons(_u19885), _u19887), c_List_Obutlast(_u19885, _u19883))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19888), _u19889), hAPP(c_List_Oset(_u19888), c_List_Obutlast(_u19888, _u19890)))) | hBOOL(hAPP(hAPP(c_member(_u19888), _u19889), hAPP(c_List_Oset(_u19888), _u19890))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__butlast-1, axiom, ( ( _u19891 = c_List_Olist_ONil(_u19892)) | ~hBOOL(hAPP(c_List_Odistinct(_u19892), _u19891)) | hBOOL(hAPP(c_List_Odistinct(_u19892), c_List_Obutlast(_u19892, _u19891))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u19893, c_List_Olist_ONil(_u19893)) = c_List_Olist_ONil(_u19893)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u19894, hAPP(hAPP(c_List_Odrop(_u19894), _u19895), _u19896)) = hAPP(hAPP(c_List_Odrop(_u19894), _u19895), c_List_Obutlast(_u19894, _u19896))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19897), _u19898), c_List_Obutlast(_u19897, _u19899)) = c_List_Obutlast(_u19897, hAPP(hAPP(c_List_Odrop(_u19897), _u19898), _u19899))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, hAPP(hAPP(c_List_Oappend(_u19900), _u19902), _u19903))))) | ~hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, _u19902)))) )).
% 13.06/13.29 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, hAPP(hAPP(c_List_Oappend(_u19900), _u19902), _u19903))))) | ~hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, _u19903)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u19904, hAPP(hAPP(c_List_Oappend(_u19904), _u19905), hAPP(hAPP(c_List_Olist_OCons(_u19904), _u19906), c_List_Olist_ONil(_u19904)))) = _u19905) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19907), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19908)), _u19909))) | ( hAPP(hAPP(c_List_Otake(_u19908), _u19907), c_List_Obutlast(_u19908, _u19909)) = hAPP(hAPP(c_List_Otake(_u19908), _u19907), _u19909)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19910)), c_List_Obutlast(_u19910, _u19911)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19910)), _u19911)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u19912, _u19913) = hAPP(hAPP(c_List_Otake(_u19912), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19912)), _u19913)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19913)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_butlast__list__update-1, axiom, ( ( _u19918 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19920)), _u19922)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u19920, hAPP(hAPP(c_List_Olist__update(_u19920, _u19922), _u19918), _u19924)) = c_List_Obutlast(_u19920, _u19922)) )).
% 13.06/13.29 cnf(fact_butlast__list__update-2, axiom, ( ( _u19919 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19921)), _u19923)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u19921, hAPP(hAPP(c_List_Olist__update(_u19921, _u19923), _u19919), _u19925)) = hAPP(hAPP(c_List_Olist__update(_u19921, c_List_Obutlast(_u19921, _u19923)), _u19919), _u19925)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u19926 = c_List_Olist_ONil(_u19927)) | ( hAPP(hAPP(c_List_Oappend(_u19927), c_List_Obutlast(_u19927, _u19926)), hAPP(hAPP(c_List_Olist_OCons(_u19927), c_List_Olast(_u19927, _u19926)), c_List_Olist_ONil(_u19927))) = _u19926) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19932), _u19934), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19936), c_List_Olist_ONil(_u19932))) != _u19938) | ( _u19938 != c_List_Olist_ONil(_u19932)) )).
% 13.06/13.29 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19932), _u19934), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19936), c_List_Olist_ONil(_u19932))) != _u19938) | ( c_List_Obutlast(_u19932, _u19938) = _u19934) )).
% 13.06/13.29 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19932), _u19934), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19936), c_List_Olist_ONil(_u19932))) != _u19938) | ( c_List_Olast(_u19932, _u19938) = _u19936) )).
% 13.06/13.29 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u19939 = c_List_Olist_ONil(_u19933)) | ( c_List_Obutlast(_u19933, _u19939) != _u19935) | ( c_List_Olast(_u19933, _u19939) != _u19937) | ( hAPP(hAPP(c_List_Oappend(_u19933), _u19935), hAPP(hAPP(c_List_Olist_OCons(_u19933), _u19937), c_List_Olist_ONil(_u19933))) = _u19939) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 13.06/13.29 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(_u19940)), _u19941))), c_List_Ofoldr(tc_List_Olist(_u19942), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u19942)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19942))), _u19943, 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(_u19940)), _u19941)), c_List_Ofoldr(tc_List_Olist(_u19942), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u19942)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19942), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u19942)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19942)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u19942), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u19942)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19942), tc_List_Olist(_u19942), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u19942)))), _u19943), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u19944, _u19945, _u19946) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19944), tc_List_Olist(_u19944)), _u19947), _u19948)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19944, tc_HOL_Obool)), hAPP(c_List_Oset(_u19944), _u19947)), hAPP(c_List_Oset(_u19944), _u19948)) = hAPP(c_List_Oset(_u19944), _u19946)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 13.06/13.29 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(_u19949)), hAPP(c_List_Ofilter(_u19949, _u19950), _u19951))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19949)), _u19951))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19952, tc_HOL_Obool)), hAPP(c_List_Oset(_u19952), hAPP(c_List_Ofilter(_u19952, _u19953), _u19954))), hAPP(c_List_Oset(_u19952), _u19954))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u19955, _u19956), c_List_Olist_ONil(_u19955)) = c_List_Olist_ONil(_u19955)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u19962, _u19964), _u19966) != c_List_Olist_ONil(_u19962)) | ~hBOOL(hAPP(hAPP(c_member(_u19962), _u19957), hAPP(c_List_Oset(_u19962), _u19966))) | ~hBOOL(hAPP(_u19964, _u19957)) )).
% 13.06/13.29 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u19963, _u19965), _u19967) = c_List_Olist_ONil(_u19963)) | hBOOL(hAPP(hAPP(c_member(_u19963), skolem494(_u19967, _u19965, _u19963)), hAPP(c_List_Oset(_u19963), _u19967))) )).
% 13.06/13.29 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u19963, _u19965), _u19967) = c_List_Olist_ONil(_u19963)) | hBOOL(hAPP(_u19965, skolem494(_u19967, _u19965, _u19963))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u19973, _u19975), _u19977) != _u19977) | ~hBOOL(hAPP(hAPP(c_member(_u19973), _u19968), hAPP(c_List_Oset(_u19973), _u19977))) | hBOOL(hAPP(_u19975, _u19968)) )).
% 13.06/13.29 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u19974, _u19976), _u19978) = _u19978) | hBOOL(hAPP(hAPP(c_member(_u19974), skolem495(_u19978, _u19976, _u19974)), hAPP(c_List_Oset(_u19974), _u19978))) )).
% 13.06/13.29 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u19974, _u19976), _u19978) = _u19978) | ~hBOOL(hAPP(_u19976, skolem495(_u19978, _u19976, _u19974))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u19979) | hBOOL(hAPP(_u19980, _u19981)) | ( hAPP(c_List_Ofilter(_u19982, _u19980), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19982, _u19979, _u19983), _u19981), _u19984)) = hAPP(c_List_Ofilter(_u19982, _u19980), _u19984)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19985), _u19986)) | hBOOL(hAPP(c_List_Odistinct(_u19985), hAPP(c_List_Ofilter(_u19985, _u19987), _u19986))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u19988, _u19989), c_List_Oremove1(_u19988, _u19990, _u19991)) = c_List_Oremove1(_u19988, _u19990, hAPP(c_List_Ofilter(_u19988, _u19989), _u19991))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u19992, _u19993)) | ( c_List_Oremove1(_u19994, _u19993, hAPP(c_List_Ofilter(_u19994, _u19992), _u19995)) = hAPP(c_List_Ofilter(_u19994, _u19992), _u19995)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u19996, _u19997), hAPP(c_List_Ofilter(_u19996, _u19998), _u19999)) = hAPP(c_List_Ofilter(_u19996, hAPP(hAPP(c_COMBS(_u19996, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19996), c_fconj), _u19998)), _u19997)), _u19999)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u20000), tc_List_Olist(_u20000)), c_List_Opartition(_u20000, _u20001, _u20002)) = hAPP(c_List_Ofilter(_u20000, _u20001), _u20002)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20003)), hAPP(c_List_Ofilter(_u20003, _u20004), _u20005))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20003)), hAPP(c_List_Ofilter(_u20003, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20003), c_fNot), _u20004)), _u20005))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20003)), _u20005)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u20010, _u20012)) | ( hAPP(c_List_Ofilter(_u20014, _u20010), hAPP(hAPP(c_List_Olist_OCons(_u20014), _u20012), _u20016)) = hAPP(hAPP(c_List_Olist_OCons(_u20014), _u20012), hAPP(c_List_Ofilter(_u20014, _u20010), _u20016))) )).
% 13.06/13.29 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u20011, _u20013)) | ( hAPP(c_List_Ofilter(_u20015, _u20011), hAPP(hAPP(c_List_Olist_OCons(_u20015), _u20013), _u20017)) = hAPP(c_List_Ofilter(_u20015, _u20011), _u20017)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u20018, _u20019), hAPP(hAPP(c_List_Oappend(_u20018), _u20020), _u20021)) = hAPP(hAPP(c_List_Oappend(_u20018), hAPP(c_List_Ofilter(_u20018, _u20019), _u20020)), hAPP(c_List_Ofilter(_u20018, _u20019), _u20021))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u20022, _u20023, _u20024) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20022), tc_List_Olist(_u20022)), hAPP(c_List_Ofilter(_u20022, _u20023), _u20024)), hAPP(c_List_Ofilter(_u20022, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20022, c_fNot), _u20023)), _u20024))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u20025, _u20026), hAPP(hAPP(c_List_Omap(_u20027, _u20025), _u20028), _u20029)) = hAPP(hAPP(c_List_Omap(_u20027, _u20025), _u20028), hAPP(c_List_Ofilter(_u20027, hAPP(c_Fun_Ocomp(_u20025, tc_HOL_Obool, _u20027, _u20026), _u20028)), _u20029))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u20030), tc_List_Olist(_u20030)), c_List_Opartition(_u20030, _u20031, _u20032)) = hAPP(c_List_Ofilter(_u20030, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20030, c_fNot), _u20031)), _u20032)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u20033), hAPP(c_List_Ofilter(_u20033, _u20034), _u20035)) = hAPP(c_Set_OCollect(_u20033), hAPP(hAPP(c_COMBS(_u20033, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20033), c_fconj), hAPP(hAPP(c_COMBC(_u20033, tc_fun(_u20033, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20033)), hAPP(c_List_Oset(_u20033), _u20035)))), _u20034))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20036)), hAPP(c_List_Ofilter(_u20036, _u20037), hAPP(hAPP(c_List_Omap(_u20038, _u20036), _u20039), _u20040))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20038)), hAPP(c_List_Ofilter(_u20038, hAPP(c_Fun_Ocomp(_u20036, tc_HOL_Obool, _u20038, _u20037), _u20039)), _u20040))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20041), _u20042), hAPP(c_List_Oset(_u20041), _u20043))) | hBOOL(hAPP(_u20044, _u20042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20041)), hAPP(c_List_Ofilter(_u20041, _u20044), _u20043))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20041)), _u20043))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20045, tc_HOL_Obool)), hAPP(c_List_Oset(_u20045), _u20046)), hAPP(hAPP(c_Set_Oinsert(_u20045), _u20047), c_Orderings_Obot__class_Obot(tc_fun(_u20045, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u20045), hAPP(c_List_Ofilter(_u20045, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20045), c_fNot), hAPP(hAPP(c_COMBC(_u20045, _u20045, tc_HOL_Obool), c_fequal), _u20047))), _u20046))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u20050, _u20051, _u20052) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20050), tc_List_Olist(_u20050)), _u20053), _u20054)) | ~hBOOL(hAPP(hAPP(c_member(_u20050), _u20048), hAPP(c_List_Oset(_u20050), _u20053))) | hBOOL(hAPP(_u20051, _u20048)) )).
% 13.06/13.29 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u20050, _u20051, _u20052) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20050), tc_List_Olist(_u20050)), _u20053), _u20054)) | ~hBOOL(hAPP(hAPP(c_member(_u20050), _u20049), hAPP(c_List_Oset(_u20050), _u20054))) | ~hBOOL(hAPP(_u20051, _u20049)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u20055, _u20056, c_List_Olist_ONil(_u20055)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20055), tc_List_Olist(_u20055)), c_List_Olist_ONil(_u20055)), c_List_Olist_ONil(_u20055))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20057), _u20058)) | ( hAPP(c_List_Ofilter(_u20057, hAPP(hAPP(c_COMBC(_u20057, tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20057)), hAPP(c_List_Oset(_u20057), c_List_Osublist(_u20057, _u20058, _u20059)))), _u20058) = c_List_Osublist(_u20057, _u20058, _u20059)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u20060, _u20061, hAPP(hAPP(c_List_Olist_OCons(_u20060), _u20062), _u20063)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20060), tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u20060), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20060), tc_fun(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_fun(tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_List_Olist(_u20060)), c_COMBS(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_List_Olist(_u20060), tc_fun(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_List_Olist(_u20060)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_fun(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_List_Olist(_u20060)), hAPP(c_If(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), hAPP(_u20061, _u20062)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20060), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_List_Olist(_u20060)), c_Product__Type_OPair(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), hAPP(c_List_Olist_OCons(_u20060), _u20062))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20060), tc_fun(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_fun(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_List_Olist(_u20060)), c_COMBB(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_List_Olist(_u20060))), c_Product__Type_OPair(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(c_List_Olist_OCons(_u20060), _u20062)))), c_List_Opartition(_u20060, _u20061, _u20063))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20064)), hAPP(c_List_Ofilter(_u20064, _u20065), _u20066)) = 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(_u20064)), _u20066)))), hAPP(hAPP(c_COMBB(_u20064, tc_HOL_Obool, tc_Nat_Onat), _u20065), hAPP(c_List_Onth(_u20064), _u20066)))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__filter__def ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__filter__def-1, axiom, ( ( c_List_Omap__filter(_u20067, _u20068, _u20069, _u20070) = hAPP(hAPP(c_List_Omap(_u20067, _u20068), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20068), _u20068, _u20067, c_Option_Othe(_u20068)), _u20069)), hAPP(c_List_Ofilter(_u20067, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20067), c_fNot), hAPP(hAPP(c_COMBC(_u20067, tc_Option_Ooption(_u20068), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u20068), tc_fun(tc_Option_Ooption(_u20068), tc_HOL_Obool), _u20067), c_fequal), _u20069)), c_Option_Ooption_ONone(_u20068)))), _u20070))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u20071), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20071)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20071))), c_List_Otranspose(_u20071, _u20072), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20071))), hAPP(c_List_Ofilter(tc_List_Olist(_u20071), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20071)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20071), tc_List_Olist(_u20071), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20071)))), _u20072))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__of__filter__in ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__of__filter__in-1, axiom, ( ( hAPP(c_Map_Omap__of(_u20073, _u20074, _u20075), _u20076) != hAPP(c_Option_Ooption_OSome(_u20074), _u20077)) | ~hBOOL(hAPP(hAPP(_u20078, _u20076), _u20077)) | ( hAPP(c_Map_Omap__of(_u20073, _u20074, hAPP(c_List_Ofilter(tc_prod(_u20073, _u20074), hAPP(c_Product__Type_Oprod_Oprod__case(_u20073, _u20074, tc_HOL_Obool), _u20078)), _u20075)), _u20076) = hAPP(c_Option_Ooption_OSome(_u20074), _u20077)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u20079, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20080), tc_List_Olist(_u20079)), hAPP(c_List_Omap(_u20080, _u20079), _u20081)), _u20082)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20080), tc_List_Olist(_u20079)), hAPP(c_List_Omap(_u20080, _u20079), _u20081)), c_List_Otranspose(_u20080, _u20082))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u20083, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20083)), c_List_Olist_ONil(_u20083)), _u20084)) = c_List_Otranspose(_u20083, _u20084)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u20089, _u20091) != c_List_Olist_ONil(tc_List_Olist(_u20089))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20089)), _u20085), hAPP(c_List_Oset(tc_List_Olist(_u20089)), _u20091))) | ( _u20085 = c_List_Olist_ONil(_u20089)) )).
% 13.06/13.29 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u20090, _u20092) = c_List_Olist_ONil(tc_List_Olist(_u20090))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20090)), skolem496(_u20092, _u20090)), hAPP(c_List_Oset(tc_List_Olist(_u20090)), _u20092))) )).
% 13.06/13.29 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u20090, _u20092) = c_List_Olist_ONil(tc_List_Olist(_u20090))) | ( skolem496(_u20092, _u20090) != c_List_Olist_ONil(_u20090)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__filter__simps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__filter__simps_I2_J-1, axiom, ( ( c_List_Omap__filter(_u20093, _u20094, _u20095, c_List_Olist_ONil(_u20093)) = c_List_Olist_ONil(_u20094)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u20096, c_List_Olist_ONil(tc_List_Olist(_u20096))) = c_List_Olist_ONil(tc_List_Olist(_u20096))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__filter__simps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__filter__simps_I1_J-1, axiom, ( ( c_List_Omap__filter(_u20097, _u20098, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20100), _u20101)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u20098), _u20098, c_List_Omap__filter(_u20097, _u20098, _u20099, _u20101), hAPP(hAPP(c_COMBC(_u20098, tc_List_Olist(_u20098), tc_List_Olist(_u20098)), c_List_Olist_OCons(_u20098)), c_List_Omap__filter(_u20097, _u20098, _u20099, _u20101))), hAPP(_u20099, _u20100))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20102, tc_Nat_Onat), _u20102), c_Product__Type_Ofst(_u20102, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20102, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20102, tc_Nat_Onat)), _u20103), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u20102, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u20102, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u20102, tc_Nat_Onat), _u20104), _u20105))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20102, tc_Nat_Onat), _u20102), c_Product__Type_Ofst(_u20102, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20102, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20102, tc_Nat_Onat)), _u20103), c_Product__Type_Osnd(_u20102, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u20102, tc_Nat_Onat), _u20104), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u20105))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u20106, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20106), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20106, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20106, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20106)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20107)) = c_Random_Oselect__weight(_u20106, _u20107)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u20108, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20108), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20108, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20108, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20108)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20109)) = c_Random_Opick(_u20108, _u20109)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20110), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20111))), c_List_Otranspose(_u20111, _u20112)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20111)), c_List_Otranspose(_u20111, _u20112)), _u20110) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20111), _u20111), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20111), tc_Nat_Onat, _u20111), c_List_Onth(_u20111)), _u20110)), hAPP(c_List_Ofilter(tc_List_Olist(_u20111), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20111)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20110)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20111)))), _u20112))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20113))), c_List_Otranspose(_u20113, _u20114)) = c_List_Ofoldr(tc_List_Olist(_u20113), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20113)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20113))), _u20114, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__filter__map__filter ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__filter__map__filter-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20115, _u20116), _u20117), hAPP(c_List_Ofilter(_u20115, _u20118), _u20119)) = c_List_Omap__filter(_u20115, _u20116, hAPP(hAPP(c_COMBC(_u20115, tc_Option_Ooption(_u20116), tc_Option_Ooption(_u20116)), hAPP(hAPP(c_COMBS(_u20115, tc_Option_Ooption(_u20116), tc_fun(tc_Option_Ooption(_u20116), tc_Option_Ooption(_u20116))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u20116), tc_fun(tc_Option_Ooption(_u20116), tc_Option_Ooption(_u20116))), _u20115), c_If(tc_Option_Ooption(_u20116))), _u20118)), hAPP(hAPP(c_COMBB(_u20116, tc_Option_Ooption(_u20116), _u20115), c_Option_Ooption_OSome(_u20116)), _u20117))), c_Option_Ooption_ONone(_u20116)), _u20119)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20120) | ~hBOOL(hAPP(hAPP(c_member(_u20121), _u20122), hAPP(c_List_Oset(_u20121), _u20123))) | ~c_List_Olinorder__class_Osorted(_u20120, hAPP(hAPP(c_List_Omap(_u20121, _u20120), _u20124), _u20123)) | ( hAPP(c_List_Ohd(_u20121), hAPP(c_List_Ofilter(_u20121, hAPP(hAPP(c_COMBB(_u20120, tc_HOL_Obool, _u20121), hAPP(c_fequal, hAPP(_u20124, _u20122))), _u20124)), _u20123)) != _u20122) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20121, _u20120, _u20124), _u20122), c_List_Oremove1(_u20121, _u20122, _u20123)) = _u20123) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u20125, _u20126, _u20127) = hAPP(hAPP(c_List_Omap(tc_prod(_u20125, tc_Nat_Onat), _u20125), c_Product__Type_Ofst(_u20125, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20125, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20125, 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(_u20125, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20125, tc_Nat_Onat))), _u20127)), hAPP(hAPP(c_List_Ozip(_u20125, tc_Nat_Onat), _u20126), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20125)), _u20126)))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u20128) | c_List_Olinorder__class_Osorted(_u20128, c_List_Olist_ONil(_u20128)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u20129) | c_List_Olinorder__class_Osorted(_u20129, hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20130), c_List_Olist_ONil(_u20129))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u20131) | c_List_Olinorder__class_Osorted(_u20131, hAPP(c_List_Ofilter(_u20131, hAPP(hAPP(c_COMBC(_u20131, _u20131, tc_HOL_Obool), c_fequal), hAPP(_u20132, _u20133))), _u20133)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u20134) | c_List_Olinorder__class_Osorted(_u20134, hAPP(hAPP(c_List_Omap(_u20135, _u20134), _u20136), hAPP(c_List_Ofilter(_u20135, hAPP(hAPP(c_COMBC(_u20135, _u20134, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20134, tc_fun(_u20134, tc_HOL_Obool), _u20135), c_fequal), _u20136)), hAPP(_u20137, _u20138))), _u20138))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u20139) | ~c_List_Olinorder__class_Osorted(_u20139, hAPP(hAPP(c_List_Omap(_u20140, _u20139), _u20141), _u20142)) | c_List_Olinorder__class_Osorted(_u20139, hAPP(hAPP(c_List_Omap(_u20140, _u20139), _u20141), hAPP(c_List_Ofilter(_u20140, _u20143), _u20142))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u20144, _u20145)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20145), _u20144)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u20150, _u20152) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20154), _u20156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20150), _u20152)) )).
% 13.06/13.29 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u20150, _u20152) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20154), _u20156)) | ( _u20150 = _u20154) )).
% 13.06/13.29 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u20150, _u20152) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20154), _u20156)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20150), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20152) = _u20156) )).
% 13.06/13.29 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20151), _u20153)) | ( _u20151 != _u20155) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20151), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20153) != _u20157) | ( c_List_Oupt(_u20151, _u20153) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20155), _u20157)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u20158) | ( _u20159 = c_List_Olist_ONil(_u20158)) | ~c_List_Olinorder__class_Osorted(_u20158, _u20159) | c_List_Olinorder__class_Osorted(_u20158, c_List_Obutlast(_u20158, _u20159)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 13.06/13.29 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), _u20162)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20164))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20162), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20164)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20162)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20162)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20164)))) )).
% 13.06/13.29 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), _u20163)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20165))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20163), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20165)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u20170) | ~c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | c_List_Olinorder__class_Osorted(_u20170, _u20171) )).
% 13.06/13.29 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u20170) | ~c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | c_List_Olinorder__class_Osorted(_u20170, _u20172) )).
% 13.06/13.29 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u20170) | ~c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~hBOOL(hAPP(hAPP(c_member(_u20170), _u20167), hAPP(c_List_Oset(_u20170), _u20171))) | ~hBOOL(hAPP(hAPP(c_member(_u20170), _u20166), hAPP(c_List_Oset(_u20170), _u20172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20170), _u20167), _u20166)) )).
% 13.06/13.29 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u20170) | c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~c_List_Olinorder__class_Osorted(_u20170, _u20171) | ~c_List_Olinorder__class_Osorted(_u20170, _u20172) | hBOOL(hAPP(hAPP(c_member(_u20170), skolem497(_u20172, _u20171, _u20170)), hAPP(c_List_Oset(_u20170), _u20171))) )).
% 13.06/13.29 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u20170) | c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~c_List_Olinorder__class_Osorted(_u20170, _u20171) | ~c_List_Olinorder__class_Osorted(_u20170, _u20172) | hBOOL(hAPP(hAPP(c_member(_u20170), skolem498(_u20172, _u20171, _u20170)), hAPP(c_List_Oset(_u20170), _u20172))) )).
% 13.06/13.29 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u20170) | c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~c_List_Olinorder__class_Osorted(_u20170, _u20171) | ~c_List_Olinorder__class_Osorted(_u20170, _u20172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20170), skolem497(_u20172, _u20171, _u20170)), skolem498(_u20172, _u20171, _u20170))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u20175) | ~c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | c_List_Olinorder__class_Osorted(_u20175, _u20177) )).
% 13.06/13.29 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u20175) | ~c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | ~hBOOL(hAPP(hAPP(c_member(_u20175), _u20173), hAPP(c_List_Oset(_u20175), _u20177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20175), _u20176), _u20173)) )).
% 13.06/13.29 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u20175) | c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | ~c_List_Olinorder__class_Osorted(_u20175, _u20177) | hBOOL(hAPP(hAPP(c_member(_u20175), skolem499(_u20177, _u20176, _u20175)), hAPP(c_List_Oset(_u20175), _u20177))) )).
% 13.06/13.29 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u20175) | c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | ~c_List_Olinorder__class_Osorted(_u20175, _u20177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20175), _u20176), skolem499(_u20177, _u20176, _u20175))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20180), _u20182)) | ( c_List_Oupt(_u20180, hAPP(c_Nat_OSuc, _u20182)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20180, _u20182)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20182), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 13.06/13.29 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20181), _u20183)) | ( c_List_Oupt(_u20181, hAPP(c_Nat_OSuc, _u20183)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20184), _u20185)) | ( c_List_Oupt(_u20184, hAPP(c_Nat_OSuc, _u20185)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20184, _u20185)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20185), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20186), _u20187)) | ( c_List_Oupt(_u20186, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20187), _u20188)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20186, _u20187)), c_List_Oupt(_u20187, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20187), _u20188)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u20189) | ~c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20190), hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20189), _u20190), _u20191)) )).
% 13.06/13.29 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u20189) | ~c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20190), hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192))) | c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192)) )).
% 13.06/13.29 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u20189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20189), _u20190), _u20191)) | ~c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192)) | c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20190), hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u20193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20193), _u20194), _u20195)) | ~c_List_Olinorder__class_Osorted(_u20193, hAPP(hAPP(c_List_Olist_OCons(_u20193), _u20195), _u20196)) | c_List_Olinorder__class_Osorted(_u20193, hAPP(hAPP(c_List_Olist_OCons(_u20193), _u20194), hAPP(hAPP(c_List_Olist_OCons(_u20193), _u20195), _u20196))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 13.06/13.29 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), _u20197), _u20198)), _u20199)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u20198), c_List_Oupt(_u20197, _u20199)) = c_List_Oupt(_u20197, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20197), _u20198))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u20202, _u20204) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20204 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20204), _u20202)) )).
% 13.06/13.29 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u20203, _u20205) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20205 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.29 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u20203, _u20205) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20205), _u20203)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20206), _u20207)) | ( c_List_Oupt(_u20207, _u20206) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u20208) | ~c_List_Olinorder__class_Osorted(_u20208, _u20209) | c_List_Olinorder__class_Osorted(_u20208, hAPP(hAPP(c_List_Odrop(_u20208), _u20210), _u20209)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u20211), c_List_Oupt(_u20212, _u20213)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20212), _u20211), _u20213)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20214), _u20215)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u20214, _u20215)) = _u20214) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u20216) | c_List_Olinorder__class_Osorted(_u20216, c_List_Olist_ONil(_u20216)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u20217, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u20218) | ~c_List_Olinorder__class_Osorted(_u20218, _u20219) | c_List_Olinorder__class_Osorted(_u20218, hAPP(hAPP(c_List_Otake(_u20218), _u20220), _u20219)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20221, _u20222)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20221), _u20222)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20223), _u20224) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20223, _u20224))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u20225) | ~c_List_Olinorder__class_Osorted(_u20225, _u20226) | ~hBOOL(hAPP(c_List_Odistinct(_u20225), _u20226)) | ~c_List_Olinorder__class_Osorted(_u20225, _u20227) | ~hBOOL(hAPP(c_List_Odistinct(_u20225), _u20227)) | ( hAPP(c_List_Oset(_u20225), _u20226) != hAPP(c_List_Oset(_u20225), _u20227)) | ( _u20226 = _u20227) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u20228) | ~c_List_Olinorder__class_Osorted(_u20228, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20228, _u20228, c_COMBI(_u20228)), _u20229), _u20230)) | c_List_Olinorder__class_Osorted(_u20228, _u20230) )).
% 13.06/13.29 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u20228) | ~c_List_Olinorder__class_Osorted(_u20228, _u20230) | c_List_Olinorder__class_Osorted(_u20228, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20228, _u20228, c_COMBI(_u20228)), _u20229), _u20230)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u20231, _u20232))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20233) | ~c_List_Olinorder__class_Osorted(_u20233, _u20234) | c_List_Olinorder__class_Osorted(_u20233, c_List_Oremove1(_u20233, _u20235, _u20234)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u20236, _u20237)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u20238, _u20239)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 13.06/13.29 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, _u20240), _u20241)) = c_List_Oupt(_u20240, _u20241)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u20242) | ~c_List_Olinorder__class_Osorted(_u20242, _u20243) | c_List_Olinorder__class_Osorted(_u20242, c_List_Olinorder__class_Oinsort__insert__key(_u20242, _u20242, c_COMBI(_u20242), _u20244, _u20243)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20245), _u20246)) | ( c_List_Oupt(_u20245, _u20246) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20245), c_List_Oupt(hAPP(c_Nat_OSuc, _u20245), _u20246))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20249), _u20251)) | ( c_List_Oupt(_u20249, _u20251) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20249), c_List_Oupt(hAPP(c_Nat_OSuc, _u20249), _u20251))) )).
% 13.06/13.29 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20250), _u20252)) | ( c_List_Oupt(_u20250, _u20252) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u20253) | ~c_List_Olinorder__class_Osorted(_u20253, _u20254) | c_List_Olinorder__class_Osorted(_u20253, hAPP(c_List_Otl(_u20253), _u20254)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u20255) | ~c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20256, _u20255, _u20257), _u20258), _u20259))) | c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), _u20259)) )).
% 13.06/13.29 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u20255) | ~c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), _u20259)) | c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20256, _u20255, _u20257), _u20258), _u20259))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20260) | ~c_List_Olinorder__class_Osorted(_u20260, hAPP(hAPP(c_List_Omap(_u20261, _u20260), _u20262), _u20263)) | c_List_Olinorder__class_Osorted(_u20260, hAPP(hAPP(c_List_Omap(_u20261, _u20260), _u20262), c_List_Oremove1(_u20261, _u20264, _u20263))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u20265, _u20266)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u20265), hAPP(c_Nat_OSuc, _u20266))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u20267) | ~c_List_Olinorder__class_Osorted(_u20267, hAPP(hAPP(c_List_Omap(_u20268, _u20267), _u20269), _u20270)) | c_List_Olinorder__class_Osorted(_u20267, hAPP(hAPP(c_List_Omap(_u20268, _u20267), _u20269), c_List_Olinorder__class_Oinsort__insert__key(_u20268, _u20267, _u20269, _u20271, _u20270))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20272), _u20273)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u20272, _u20273)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20273), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u20274) | ~c_List_Olinorder__class_Osorted(_u20274, hAPP(hAPP(c_List_Omap(_u20275, _u20274), _u20276), _u20277)) | ~hBOOL(hAPP(_u20278, _u20279)) | ( hAPP(c_List_Ofilter(_u20275, _u20278), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20275, _u20274, _u20276), _u20279), _u20277)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20275, _u20274, _u20276), _u20279), hAPP(c_List_Ofilter(_u20275, _u20278), _u20277))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20280), hAPP(c_List_Onth(_u20280), _u20281)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20280)), _u20281))) = _u20281) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u20282, _u20283) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20282, hAPP(c_Nat_OSuc, _u20283)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u20284) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20284))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20285) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20285), _u20286), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20287, _u20288))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20285), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20285), _u20286), c_List_Oupt(_u20287, _u20288)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20289) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20289), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20289), _u20290), c_List_Oupt(_u20291, _u20292))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20289), _u20290), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20291, _u20292)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 13.06/13.29 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), _u20293), _u20294)), _u20295)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u20293, _u20295)), _u20294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20293), _u20294)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u20296, _u20297) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20296), hAPP(c_Nat_OSuc, _u20297)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u20300) | ~c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | ~hBOOL(hAPP(hAPP(c_member(_u20300), _u20298), hAPP(c_List_Oset(_u20300), _u20302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20300), _u20301), _u20298)) )).
% 13.06/13.29 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u20300) | ~c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | c_List_Olinorder__class_Osorted(_u20300, _u20302) )).
% 13.06/13.29 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u20300) | c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | ~c_List_Olinorder__class_Osorted(_u20300, _u20302) | hBOOL(hAPP(hAPP(c_member(_u20300), skolem500(_u20302, _u20301, _u20300)), hAPP(c_List_Oset(_u20300), _u20302))) )).
% 13.06/13.29 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u20300) | c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | ~c_List_Olinorder__class_Osorted(_u20300, _u20302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20300), _u20301), skolem500(_u20302, _u20301, _u20300))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u20303, _u20304) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20303), _u20304))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20306), _u20307))) | ( hAPP(hAPP(c_List_Onth(_u20308), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20308), _u20309), c_List_Oupt(_u20307, _u20306))), _u20305) = hAPP(_u20309, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20307), _u20305))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u20310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | ( hAPP(c_List_Oset(_u20310), c_List_Olinorder__class_Osorted__list__of__set(_u20310, _u20311)) = _u20311) )).
% 13.06/13.29 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u20310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | c_List_Olinorder__class_Osorted(_u20310, c_List_Olinorder__class_Osorted__list__of__set(_u20310, _u20311)) )).
% 13.06/13.29 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u20310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | hBOOL(hAPP(c_List_Odistinct(_u20310), c_List_Olinorder__class_Osorted__list__of__set(_u20310, _u20311))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u20312) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u20312)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u20313) | ~hBOOL(hAPP(hAPP(c_member(_u20313), _u20314), hAPP(c_List_Oset(_u20313), _u20315))) | ~c_List_Olinorder__class_Osorted(_u20313, _u20315) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20313, _u20313, c_COMBI(_u20313)), _u20314), c_List_Oremove1(_u20313, _u20314, _u20315)) = _u20315) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20316) | ~c_List_Olinorder__class_Osorted(_u20316, _u20317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20318), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20319), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20316)), _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20316), hAPP(hAPP(c_List_Onth(_u20316), _u20317), _u20318)), hAPP(hAPP(c_List_Onth(_u20316), _u20317), _u20319))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20324) | ~c_List_Olinorder__class_Osorted(_u20324, _u20325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20321), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20324)), _u20325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20320), _u20321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20324), hAPP(hAPP(c_List_Onth(_u20324), _u20325), _u20320)), hAPP(hAPP(c_List_Onth(_u20324), _u20325), _u20321))) )).
% 13.06/13.29 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u20324) | c_List_Olinorder__class_Osorted(_u20324, _u20325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem501(_u20325, _u20324)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20324)), _u20325))) )).
% 13.06/13.29 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u20324) | c_List_Olinorder__class_Osorted(_u20324, _u20325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem502(_u20325, _u20324)), skolem501(_u20325, _u20324))) )).
% 13.06/13.29 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u20324) | c_List_Olinorder__class_Osorted(_u20324, _u20325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20324), hAPP(hAPP(c_List_Onth(_u20324), _u20325), skolem502(_u20325, _u20324))), hAPP(hAPP(c_List_Onth(_u20324), _u20325), skolem501(_u20325, _u20324)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u20326) | ~c_Fun_Oinj__on(_u20327, _u20326, _u20328, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20327, tc_HOL_Obool)), hAPP(c_List_Oset(_u20327), _u20329)), hAPP(c_List_Oset(_u20327), _u20330))) | ~c_List_Olinorder__class_Osorted(_u20326, hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20329)) | ~hBOOL(hAPP(c_List_Odistinct(_u20326), hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20329))) | ~c_List_Olinorder__class_Osorted(_u20326, hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20330)) | ~hBOOL(hAPP(c_List_Odistinct(_u20326), hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20330))) | ( hAPP(c_List_Oset(_u20327), _u20329) != hAPP(c_List_Oset(_u20327), _u20330)) | ( _u20329 = _u20330) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20331, tc_Nat_Onat), _u20331), c_Product__Type_Ofst(_u20331, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20331, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20331, 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(_u20331, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20331, tc_Nat_Onat))), _u20332)), hAPP(hAPP(c_List_Ozip(_u20331, tc_Nat_Onat), _u20333), c_List_Oupt(_u20334, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20331)), _u20333)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20331, tc_Nat_Onat), _u20331), c_Product__Type_Ofst(_u20331, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20331, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20331, 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(_u20331, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u20331, 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(_u20331, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u20331, tc_Nat_Onat))), _u20334))), _u20332)), hAPP(hAPP(c_List_Ozip(_u20331, tc_Nat_Onat), _u20333), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20331)), _u20333)))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose__rectangle-1, axiom, ( ( _u20336 = c_List_Olist_ONil(tc_List_Olist(_u20337))) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem503(_u20338, _u20337, _u20336)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336))) )).
% 13.06/13.29 cnf(fact_transpose__rectangle-2, axiom, ( ( _u20336 = c_List_Olist_ONil(tc_List_Olist(_u20337))) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20337)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336), skolem503(_u20338, _u20337, _u20336))) != _u20338) )).
% 13.06/13.29 cnf(fact_transpose__rectangle-3, axiom, ( ( _u20338 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem503(_u20338, _u20337, _u20336)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336))) )).
% 13.06/13.29 cnf(fact_transpose__rectangle-4, axiom, ( ( _u20338 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20337)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336), skolem503(_u20338, _u20337, _u20336))) != _u20338) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20339)), c_List_Otranspose__rel(_u20339)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20339)), c_List_Olist_ONil(_u20339)), _u20340))) | ( c_List_Otranspose(_u20339, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20339)), c_List_Olist_ONil(_u20339)), _u20340)) = c_List_Otranspose(_u20339, _u20340)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20341)), c_List_Otranspose__rel(_u20341)), c_List_Olist_ONil(tc_List_Olist(_u20341)))) | ( c_List_Otranspose(_u20341, c_List_Olist_ONil(tc_List_Olist(_u20341))) = c_List_Olist_ONil(tc_List_Olist(_u20341))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20342), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20342))), _u20343))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20344), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20342))), _u20343))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20342), _u20342), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20342), tc_Nat_Onat, _u20342), c_List_Onth(_u20342)), _u20344)), hAPP(c_List_Ofilter(tc_List_Olist(_u20342), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20342)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20344)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20342)))), c_List_Otranspose(_u20342, _u20343))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20342)), _u20343), _u20344)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u20345, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20345), tc_List_Olist(_u20345)), c_List_Olist_Olist__case(tc_List_Olist(_u20345), _u20345, c_List_Olist_ONil(_u20345), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20345), tc_fun(tc_List_Olist(_u20345), tc_List_Olist(_u20345)), _u20345), c_COMBK(tc_List_Olist(_u20345), tc_List_Olist(_u20345))), hAPP(hAPP(c_COMBC(_u20345, tc_List_Olist(_u20345), tc_List_Olist(_u20345)), c_List_Olist_OCons(_u20345)), c_List_Olist_ONil(_u20345))))), _u20346)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20345), _u20345), c_List_Ohd(_u20345)), hAPP(c_List_Ofilter(tc_List_Olist(_u20345), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20345)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20345), tc_List_Olist(_u20345), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20345)))), _u20346))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u20347), tc_List_Olist(_u20347), c_List_Orev(_u20347), _u20348) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u20349, _u20350), c_List_Oconcat(_u20349, _u20351)) = c_List_Oconcat(_u20349, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20349), tc_List_Olist(_u20349)), c_List_Ofilter(_u20349, _u20350)), _u20351))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20352)), c_List_Oconcat(_u20352, _u20353)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20352), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20352))), _u20353))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u20358), _u20360) != hAPP(hAPP(c_List_Olist_OCons(_u20358), _u20362), _u20364)) | ( _u20360 = hAPP(hAPP(c_List_Oappend(_u20358), hAPP(c_List_Orev(_u20358), _u20364)), hAPP(hAPP(c_List_Olist_OCons(_u20358), _u20362), c_List_Olist_ONil(_u20358)))) )).
% 13.06/13.29 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u20361 != hAPP(hAPP(c_List_Oappend(_u20359), hAPP(c_List_Orev(_u20359), _u20365)), hAPP(hAPP(c_List_Olist_OCons(_u20359), _u20363), c_List_Olist_ONil(_u20359)))) | ( hAPP(c_List_Orev(_u20359), _u20361) = hAPP(hAPP(c_List_Olist_OCons(_u20359), _u20363), _u20365)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u20366), hAPP(hAPP(c_List_Olist_OCons(_u20366), _u20367), _u20368)) = hAPP(hAPP(c_List_Oappend(_u20366), hAPP(c_List_Orev(_u20366), _u20368)), hAPP(hAPP(c_List_Olist_OCons(_u20366), _u20367), c_List_Olist_ONil(_u20366)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u20369), c_List_Olist_ONil(_u20369)) = c_List_Olist_ONil(_u20369)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u20370, c_List_Olist_ONil(tc_List_Olist(_u20370))) = c_List_Olist_ONil(_u20370)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u20373) != hAPP(c_List_Orev(_u20373), _u20375)) | ( _u20375 = c_List_Olist_ONil(_u20373)) )).
% 13.06/13.29 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u20376 != c_List_Olist_ONil(_u20374)) | ( c_List_Olist_ONil(_u20374) = hAPP(c_List_Orev(_u20374), _u20376)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u20379), _u20381) != c_List_Olist_ONil(_u20379)) | ( _u20381 = c_List_Olist_ONil(_u20379)) )).
% 13.06/13.29 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u20382 != c_List_Olist_ONil(_u20380)) | ( hAPP(c_List_Orev(_u20380), _u20382) = c_List_Olist_ONil(_u20380)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u20387) != c_List_Oconcat(_u20387, _u20389)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20387)), _u20383), hAPP(c_List_Oset(tc_List_Olist(_u20387)), _u20389))) | ( _u20383 = c_List_Olist_ONil(_u20387)) )).
% 13.06/13.29 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u20388) = c_List_Oconcat(_u20388, _u20390)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20388)), skolem504(_u20390, _u20388)), hAPP(c_List_Oset(tc_List_Olist(_u20388)), _u20390))) )).
% 13.06/13.29 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u20388) = c_List_Oconcat(_u20388, _u20390)) | ( skolem504(_u20390, _u20388) != c_List_Olist_ONil(_u20388)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u20395, _u20397) != c_List_Olist_ONil(_u20395)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20395)), _u20391), hAPP(c_List_Oset(tc_List_Olist(_u20395)), _u20397))) | ( _u20391 = c_List_Olist_ONil(_u20395)) )).
% 13.06/13.29 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u20396, _u20398) = c_List_Olist_ONil(_u20396)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20396)), skolem505(_u20398, _u20396)), hAPP(c_List_Oset(tc_List_Olist(_u20396)), _u20398))) )).
% 13.06/13.29 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u20396, _u20398) = c_List_Olist_ONil(_u20396)) | ( skolem505(_u20398, _u20396) != c_List_Olist_ONil(_u20396)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u20402), _u20404) != hAPP(hAPP(c_List_Olist_OCons(_u20402), _u20406), c_List_Olist_ONil(_u20402))) | ( _u20404 = hAPP(hAPP(c_List_Olist_OCons(_u20402), _u20406), c_List_Olist_ONil(_u20402))) )).
% 13.06/13.29 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u20405 != hAPP(hAPP(c_List_Olist_OCons(_u20403), _u20407), c_List_Olist_ONil(_u20403))) | ( hAPP(c_List_Orev(_u20403), _u20405) = hAPP(hAPP(c_List_Olist_OCons(_u20403), _u20407), c_List_Olist_ONil(_u20403))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u20411), _u20413), c_List_Olist_ONil(_u20411)) != hAPP(c_List_Orev(_u20411), _u20415)) | ( _u20415 = hAPP(hAPP(c_List_Olist_OCons(_u20411), _u20413), c_List_Olist_ONil(_u20411))) )).
% 13.06/13.29 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u20416 != hAPP(hAPP(c_List_Olist_OCons(_u20412), _u20414), c_List_Olist_ONil(_u20412))) | ( hAPP(hAPP(c_List_Olist_OCons(_u20412), _u20414), c_List_Olist_ONil(_u20412)) = hAPP(c_List_Orev(_u20412), _u20416)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u20417, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20417)), _u20418), _u20419)) = hAPP(hAPP(c_List_Oappend(_u20417), _u20418), c_List_Oconcat(_u20417, _u20419))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u20420), c_List_Oconcat(_u20420, _u20421)) = c_List_Oconcat(_u20420, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20420), tc_List_Olist(_u20420)), c_List_Orev(_u20420)), hAPP(c_List_Orev(tc_List_Olist(_u20420)), _u20421)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u20422), hAPP(hAPP(c_List_Omap(_u20423, _u20422), _u20424), _u20425)) = hAPP(hAPP(c_List_Omap(_u20423, _u20422), _u20424), hAPP(c_List_Orev(_u20423), _u20425))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u20426, _u20427), _u20428), c_List_Oconcat(_u20426, _u20429)) = c_List_Oconcat(_u20427, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20426), tc_List_Olist(_u20427)), hAPP(c_List_Omap(_u20426, _u20427), _u20428)), _u20429))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u20430), _u20431) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20430), _u20430, hAPP(c_COMBC(_u20430, tc_List_Olist(_u20430), tc_List_Olist(_u20430)), c_List_Olist_OCons(_u20430)), c_List_Olist_ONil(_u20430)), _u20431)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u20432, _u20433) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20432), tc_List_Olist(_u20432), c_List_Oappend(_u20432), c_List_Olist_ONil(_u20432)), _u20433)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u20434), tc_List_Olist(_u20434), c_List_Oappend(_u20434), _u20435), _u20436) = hAPP(hAPP(c_List_Oappend(_u20434), _u20435), c_List_Oconcat(_u20434, _u20436))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u20437), hAPP(hAPP(c_List_Oappend(_u20437), _u20438), _u20439)) = hAPP(hAPP(c_List_Oappend(_u20437), hAPP(c_List_Orev(_u20437), _u20439)), hAPP(c_List_Orev(_u20437), _u20438))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u20440, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u20440)), _u20441), _u20442)) = hAPP(hAPP(c_List_Oappend(_u20440), c_List_Oconcat(_u20440, _u20441)), c_List_Oconcat(_u20440, _u20442))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20445), hAPP(c_List_Orev(_u20445), _u20447))) | hBOOL(hAPP(c_List_Odistinct(_u20445), _u20447)) )).
% 13.06/13.29 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20446), _u20448)) | hBOOL(hAPP(c_List_Odistinct(_u20446), hAPP(c_List_Orev(_u20446), _u20448))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u20449), c_List_Oconcat(_u20449, _u20450)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20449), tc_fun(_u20449, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20449)), _u20450)), c_List_Oset(_u20449))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20451)), hAPP(c_List_Orev(_u20451), _u20452)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20451)), _u20452)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20453) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20453), hAPP(c_List_Orev(_u20453), _u20454)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20453), _u20454)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u20460 = _u20462) | ( hAPP(c_List_Orev(_u20458), _u20460) != hAPP(c_List_Orev(_u20458), _u20462)) )).
% 13.06/13.29 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u20461 != _u20463) | ( hAPP(c_List_Orev(_u20459), _u20461) = hAPP(c_List_Orev(_u20459), _u20463)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u20467), _u20469) != _u20471) | ( _u20469 = hAPP(c_List_Orev(_u20467), _u20471)) )).
% 13.06/13.29 cnf(fact_rev__swap-2, axiom, ( ( _u20470 != hAPP(c_List_Orev(_u20468), _u20472)) | ( hAPP(c_List_Orev(_u20468), _u20470) = _u20472) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u20473), hAPP(c_List_Orev(_u20473), _u20474)) = _u20474) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u20475, _u20476, _u20477, _u20478, _u20479) = hAPP(c_List_Ofoldl(_u20476, _u20475, hAPP(c_COMBC(_u20475, _u20476, _u20476), _u20477), _u20479), hAPP(c_List_Orev(_u20475), _u20478))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u20480, _u20481, _u20482, _u20483), _u20484) = c_List_Ofoldr(_u20481, _u20480, hAPP(c_COMBC(_u20480, _u20481, _u20480), _u20482), hAPP(c_List_Orev(_u20481), _u20484), _u20483)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u20485), hAPP(c_List_Orev(_u20485), _u20486)) = hAPP(c_List_Oset(_u20485), _u20486)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20487)), _u20488) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20489)), _u20490)) | ( hAPP(hAPP(c_List_Ozip(_u20487, _u20489), hAPP(c_List_Orev(_u20487), _u20488)), hAPP(c_List_Orev(_u20489), _u20490)) = hAPP(c_List_Orev(tc_prod(_u20487, _u20489)), hAPP(hAPP(c_List_Ozip(_u20487, _u20489), _u20488), _u20490))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u20491), hAPP(c_List_Ofilter(_u20491, _u20492), _u20493)) = hAPP(c_List_Ofilter(_u20491, _u20492), hAPP(c_List_Orev(_u20491), _u20493))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_last__rev-1, axiom, ( ( _u20494 = c_List_Olist_ONil(_u20495)) | ( c_List_Olast(_u20495, hAPP(c_List_Orev(_u20495), _u20494)) = hAPP(c_List_Ohd(_u20495), _u20494)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__rev-1, axiom, ( ( _u20496 = c_List_Olist_ONil(_u20497)) | ( hAPP(c_List_Ohd(_u20497), hAPP(c_List_Orev(_u20497), _u20496)) = c_List_Olast(_u20497, _u20496)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20498), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20498))), c_List_Otranspose(_u20498, _u20499)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u20500), hAPP(hAPP(c_List_Odrop(_u20500), _u20501), _u20502)) = hAPP(hAPP(c_List_Otake(_u20500), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20500)), _u20502)), _u20501)), hAPP(c_List_Orev(_u20500), _u20502))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u20503), hAPP(hAPP(c_List_Otake(_u20503), _u20504), _u20505)) = hAPP(hAPP(c_List_Odrop(_u20503), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20503)), _u20505)), _u20504)), hAPP(c_List_Orev(_u20503), _u20505))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u20506, _u20507), hAPP(c_List_Orev(_u20506), _u20508)) = hAPP(c_List_Orev(_u20506), hAPP(c_List_Orotate(_u20506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20506)), _u20508)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u20507, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20506)), _u20508)))), _u20508))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u20509, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20509)), hAPP(hAPP(c_List_Olist_OCons(_u20509), _u20510), _u20511)), _u20512)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20509)), hAPP(hAPP(c_List_Olist_OCons(_u20509), _u20510), c_List_Oconcat(_u20509, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20509), tc_List_Olist(_u20509)), c_List_Olist_Olist__case(tc_List_Olist(_u20509), _u20509, c_List_Olist_ONil(_u20509), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20509), tc_fun(tc_List_Olist(_u20509), tc_List_Olist(_u20509)), _u20509), c_COMBK(tc_List_Olist(_u20509), tc_List_Olist(_u20509))), hAPP(hAPP(c_COMBC(_u20509, tc_List_Olist(_u20509), tc_List_Olist(_u20509)), c_List_Olist_OCons(_u20509)), c_List_Olist_ONil(_u20509))))), _u20512)))), c_List_Otranspose(_u20509, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20509)), _u20511), c_List_Oconcat(tc_List_Olist(_u20509), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20509), tc_List_Olist(tc_List_Olist(_u20509))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20509)), _u20509, c_List_Olist_ONil(tc_List_Olist(_u20509)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20509), tc_List_Olist(tc_List_Olist(_u20509))), _u20509), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20509), tc_List_Olist(tc_List_Olist(_u20509)), tc_List_Olist(tc_List_Olist(_u20509))), c_List_Olist_OCons(tc_List_Olist(_u20509))), c_List_Olist_ONil(tc_List_Olist(_u20509)))))), _u20512)))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20513), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20514)), _u20515))) | ( hAPP(hAPP(c_List_Onth(_u20514), hAPP(c_List_Orev(_u20514), _u20515)), _u20513) = hAPP(hAPP(c_List_Onth(_u20514), _u20515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20514)), _u20515)), hAPP(c_Nat_OSuc, _u20513)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u20517, _u20518) != c_List_Oconcat(_u20517, _u20519)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20518) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20519)) | ( _u20518 = _u20519) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20517), tc_List_Olist(_u20517))), skolem506(_u20519, _u20518, _u20517)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20517), tc_List_Olist(_u20517))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20517), tc_List_Olist(_u20517)), _u20518), _u20519)))) )).
% 13.06/13.29 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u20517, _u20518) != c_List_Oconcat(_u20517, _u20519)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20518) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20519)) | ( _u20518 = _u20519) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20517), tc_List_Olist(_u20517), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20517), tc_fun(tc_List_Olist(_u20517), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20517), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20517), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20517), tc_HOL_Obool)), tc_List_Olist(_u20517)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20517))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20517)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20517))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20517)))), skolem506(_u20519, _u20518, _u20517))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), skolem507(_u20523, _u20522, _u20521)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20521), tc_List_Olist(_u20521)), _u20522), _u20523)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( c_List_Oconcat(_u20521, _u20522) != c_List_Oconcat(_u20521, _u20523)) | ( _u20522 = _u20523) )).
% 13.06/13.29 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), skolem507(_u20523, _u20522, _u20521)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20521), tc_List_Olist(_u20521)), _u20522), _u20523)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( _u20522 != _u20523) | ( c_List_Oconcat(_u20521, _u20522) = c_List_Oconcat(_u20521, _u20523)) )).
% 13.06/13.29 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20521), tc_List_Olist(_u20521), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20521), tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), tc_List_Olist(_u20521)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20521))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20521)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521)))), skolem507(_u20523, _u20522, _u20521))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( c_List_Oconcat(_u20521, _u20522) != c_List_Oconcat(_u20521, _u20523)) | ( _u20522 = _u20523) )).
% 13.06/13.29 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20521), tc_List_Olist(_u20521), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20521), tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), tc_List_Olist(_u20521)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20521))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20521)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521)))), skolem507(_u20523, _u20522, _u20521))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( _u20522 != _u20523) | ( c_List_Oconcat(_u20521, _u20522) = c_List_Oconcat(_u20521, _u20523)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20524), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20525)), _u20526))) | ( hAPP(c_List_Orev(_u20525), hAPP(hAPP(c_List_Olist__update(_u20525, _u20526), _u20524), _u20527)) = hAPP(hAPP(c_List_Olist__update(_u20525, hAPP(c_List_Orev(_u20525), _u20526)), 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(_u20525)), _u20526)), _u20524)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20527)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u20528, hAPP(hAPP(c_List_Omap(_u20529, tc_List_Olist(_u20528)), hAPP(hAPP(c_COMBC(_u20529, tc_List_Olist(_u20528), tc_List_Olist(_u20528)), hAPP(hAPP(c_COMBB(_u20528, tc_fun(tc_List_Olist(_u20528), tc_List_Olist(_u20528)), _u20529), c_List_Olist_OCons(_u20528)), _u20530)), c_List_Olist_ONil(_u20528))), _u20531)) = hAPP(hAPP(c_List_Omap(_u20529, _u20528), _u20530), _u20531)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u20532) | ~c_List_Olinorder__class_Osorted(_u20532, hAPP(c_List_Orev(_u20532), _u20533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20534), _u20535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20535), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20532)), _u20533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20532), hAPP(hAPP(c_List_Onth(_u20532), _u20533), _u20535)), hAPP(hAPP(c_List_Onth(_u20532), _u20533), _u20534))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u20536) | ~c_List_Olinorder__class_Osorted(_u20536, hAPP(c_List_Orev(_u20536), _u20537)) | ( _u20537 != c_List_Olist_ONil(_u20536)) | ( c_List_Ofoldr(_u20536, _u20536, c_Orderings_Oord__class_Omax(_u20536), _u20537, _u20538) = _u20538) )).
% 13.06/13.29 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u20536) | ~c_List_Olinorder__class_Osorted(_u20536, hAPP(c_List_Orev(_u20536), _u20537)) | ( _u20537 = c_List_Olist_ONil(_u20536)) | ( c_List_Ofoldr(_u20536, _u20536, c_Orderings_Oord__class_Omax(_u20536), _u20537, _u20538) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20536), hAPP(hAPP(c_List_Onth(_u20536), _u20537), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20538)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20539)), c_List_Otranspose__rel(_u20539)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), hAPP(hAPP(c_List_Olist_OCons(_u20539), _u20540), _u20541)), _u20542))) | ( c_List_Otranspose(_u20539, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), hAPP(hAPP(c_List_Olist_OCons(_u20539), _u20540), _u20541)), _u20542)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), hAPP(hAPP(c_List_Olist_OCons(_u20539), _u20540), c_List_Oconcat(_u20539, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20539), tc_List_Olist(_u20539)), c_List_Olist_Olist__case(tc_List_Olist(_u20539), _u20539, c_List_Olist_ONil(_u20539), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20539), tc_fun(tc_List_Olist(_u20539), tc_List_Olist(_u20539)), _u20539), c_COMBK(tc_List_Olist(_u20539), tc_List_Olist(_u20539))), hAPP(hAPP(c_COMBC(_u20539, tc_List_Olist(_u20539), tc_List_Olist(_u20539)), c_List_Olist_OCons(_u20539)), c_List_Olist_ONil(_u20539))))), _u20542)))), c_List_Otranspose(_u20539, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), _u20541), c_List_Oconcat(tc_List_Olist(_u20539), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20539), tc_List_Olist(tc_List_Olist(_u20539))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20539)), _u20539, c_List_Olist_ONil(tc_List_Olist(_u20539)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20539), tc_List_Olist(tc_List_Olist(_u20539))), _u20539), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20539), tc_List_Olist(tc_List_Olist(_u20539)), tc_List_Olist(tc_List_Olist(_u20539))), c_List_Olist_OCons(tc_List_Olist(_u20539))), c_List_Olist_ONil(tc_List_Olist(_u20539)))))), _u20542)))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20543), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20543))), _u20544))) | ( _u20544 != c_List_Olist_ONil(tc_List_Olist(_u20543))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20543))), c_List_Otranspose(_u20543, _u20544)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.29 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(_u20543), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20543))), _u20544))) | ( _u20544 = c_List_Olist_ONil(tc_List_Olist(_u20543))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20543))), c_List_Otranspose(_u20543, _u20544)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20543)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20543)), _u20544), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20545), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20545))), _u20546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20547), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20545))), _u20546))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20545))), hAPP(c_List_Ofilter(tc_List_Olist(_u20545), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20545)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20547)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20545)))), c_List_Otranspose(_u20545, _u20546))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20545)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20545)), _u20546), _u20547))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u20548), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20548), tc_List_Olist(tc_List_Olist(_u20548))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20548)), _u20548, c_List_Olist_ONil(tc_List_Olist(_u20548)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20548), tc_List_Olist(tc_List_Olist(_u20548))), _u20548), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20548), tc_List_Olist(tc_List_Olist(_u20548)), tc_List_Olist(tc_List_Olist(_u20548))), c_List_Olist_OCons(tc_List_Olist(_u20548))), c_List_Olist_ONil(tc_List_Olist(_u20548)))))), _u20549)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20548), tc_List_Olist(_u20548)), c_List_Otl(_u20548)), hAPP(c_List_Ofilter(tc_List_Olist(_u20548), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20548)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20548), tc_List_Olist(_u20548), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20548)))), _u20549))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20550), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20550))), _u20551))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20552), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20550))), c_List_Otranspose(_u20550, _u20551)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20553), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20550))), hAPP(c_List_Ofilter(tc_List_Olist(_u20550), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20550)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20552)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20550)))), _u20551)))) | ( hAPP(hAPP(c_List_Onth(_u20550), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20550)), c_List_Otranspose(_u20550, _u20551)), _u20552)), _u20553) = hAPP(hAPP(c_List_Onth(_u20550), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20550)), _u20551), _u20553)), _u20552)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20554), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20554))), _u20555))) | ( c_List_Otranspose(_u20554, c_List_Otranspose(_u20554, _u20555)) = c_List_OtakeWhile(tc_List_Olist(_u20554), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20554)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20554), tc_List_Olist(_u20554), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20554))), _u20555)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 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))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u20556, _u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20556), _u20559), _u20560)) = hAPP(hAPP(c_List_Omap(_u20558, _u20556), _u20559), c_List_OtakeWhile(_u20558, hAPP(c_Fun_Ocomp(_u20556, tc_HOL_Obool, _u20558, _u20557), _u20559), _u20560))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u20561) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u20561)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u20562, _u20563), _u20564), c_List_OtakeWhile(_u20563, _u20565, _u20566)) = c_List_OtakeWhile(tc_prod(_u20562, _u20563), hAPP(c_Fun_Ocomp(_u20563, tc_HOL_Obool, tc_prod(_u20562, _u20563), _u20565), c_Product__Type_Osnd(_u20562, _u20563)), hAPP(hAPP(c_List_Ozip(_u20562, _u20563), _u20564), _u20566))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u20567, _u20568), c_List_OtakeWhile(_u20567, _u20569, _u20570)), _u20571) = c_List_OtakeWhile(tc_prod(_u20567, _u20568), hAPP(c_Fun_Ocomp(_u20567, tc_HOL_Obool, tc_prod(_u20567, _u20568), _u20569), c_Product__Type_Ofst(_u20567, _u20568)), hAPP(hAPP(c_List_Ozip(_u20567, _u20568), _u20570), _u20571))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20572), _u20573), hAPP(c_List_Oset(_u20572), c_List_OtakeWhile(_u20572, _u20574, _u20575)))) | hBOOL(hAPP(hAPP(c_member(_u20572), _u20573), hAPP(c_List_Oset(_u20572), _u20575))) )).
% 13.06/13.29 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20572), _u20573), hAPP(c_List_Oset(_u20572), c_List_OtakeWhile(_u20572, _u20574, _u20575)))) | hBOOL(hAPP(_u20574, _u20573)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u20581, _u20583, _u20585) != _u20585) | ~hBOOL(hAPP(hAPP(c_member(_u20581), _u20576), hAPP(c_List_Oset(_u20581), _u20585))) | hBOOL(hAPP(_u20583, _u20576)) )).
% 13.06/13.29 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u20582, _u20584, _u20586) = _u20586) | hBOOL(hAPP(hAPP(c_member(_u20582), skolem508(_u20586, _u20584, _u20582)), hAPP(c_List_Oset(_u20582), _u20586))) )).
% 13.06/13.29 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u20582, _u20584, _u20586) = _u20586) | ~hBOOL(hAPP(_u20584, skolem508(_u20586, _u20584, _u20582))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20587)), c_List_OtakeWhile(_u20587, _u20588, _u20589))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20587)), _u20589))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u20590, _u20591, _u20592) = hAPP(hAPP(c_List_Otake(_u20590), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20590)), c_List_OtakeWhile(_u20590, _u20591, _u20592))), _u20592)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20593), _u20594)) | hBOOL(hAPP(c_List_Odistinct(_u20593), c_List_OtakeWhile(_u20593, _u20595, _u20594))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u20596, _u20597)) | ( c_List_OtakeWhile(_u20598, _u20596, hAPP(hAPP(c_List_Oappend(_u20598), _u20599), hAPP(hAPP(c_List_Olist_OCons(_u20598), _u20597), _u20600))) = c_List_OtakeWhile(_u20598, _u20596, _u20599)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u20605, _u20607)) | ( c_List_OtakeWhile(_u20609, _u20605, hAPP(hAPP(c_List_Olist_OCons(_u20609), _u20607), _u20611)) = hAPP(hAPP(c_List_Olist_OCons(_u20609), _u20607), c_List_OtakeWhile(_u20609, _u20605, _u20611))) )).
% 13.06/13.29 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u20606, _u20608)) | ( c_List_OtakeWhile(_u20610, _u20606, hAPP(hAPP(c_List_Olist_OCons(_u20610), _u20608), _u20612)) = c_List_Olist_ONil(_u20610)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u20613) | ~c_List_Olinorder__class_Osorted(_u20613, _u20614) | c_List_Olinorder__class_Osorted(_u20613, c_List_OtakeWhile(_u20613, _u20615, _u20614)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u20616, _u20617, c_List_Olist_ONil(_u20616)) = c_List_Olist_ONil(_u20616)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20618), _u20619), hAPP(c_List_Oset(_u20618), _u20620))) | hBOOL(hAPP(_u20621, _u20619)) | ( c_List_OtakeWhile(_u20618, _u20621, hAPP(hAPP(c_List_Oappend(_u20618), _u20620), _u20622)) = c_List_OtakeWhile(_u20618, _u20621, _u20620)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20623)), c_List_OtakeWhile(_u20623, _u20624, _u20625))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20623)), _u20625))) | ~hBOOL(hAPP(_u20624, hAPP(hAPP(c_List_Onth(_u20623), _u20625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20623)), c_List_OtakeWhile(_u20623, _u20624, _u20625))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20626), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20627)), c_List_OtakeWhile(_u20627, _u20628, _u20629)))) | ( hAPP(hAPP(c_List_Onth(_u20627), c_List_OtakeWhile(_u20627, _u20628, _u20629)), _u20626) = hAPP(hAPP(c_List_Onth(_u20627), _u20629), _u20626)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_map__upds__def ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_map__upds__def-1, axiom, ( ( c_Map_Omap__upds(_u20630, _u20631, _u20632, _u20633, _u20634) = c_Map_Omap__add(_u20630, _u20631, _u20632, c_Map_Omap__of(_u20630, _u20631, hAPP(c_List_Orev(tc_prod(_u20630, _u20631)), hAPP(hAPP(c_List_Ozip(_u20630, _u20631), _u20633), _u20634))))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u20635 = c_List_Olist_ONil(_u20636)) | ~hBOOL(hAPP(c_List_Odistinct(_u20636), _u20635)) | ( c_List_OtakeWhile(_u20636, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20636), c_fNot), hAPP(hAPP(c_COMBC(_u20636, _u20636, tc_HOL_Obool), c_fequal), c_List_Olast(_u20636, _u20635))), _u20635) = c_List_Obutlast(_u20636, _u20635)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u20637) | ~c_List_Olinorder__class_Osorted(_u20637, hAPP(c_List_Orev(_u20637), hAPP(hAPP(c_List_Omap(_u20638, _u20637), _u20639), _u20640))) | ( hAPP(c_List_Ofilter(_u20638, hAPP(hAPP(c_COMBB(_u20637, tc_HOL_Obool, _u20638), hAPP(c_Orderings_Oord__class_Oless(_u20637), _u20641)), _u20639)), _u20640) = c_List_OtakeWhile(_u20638, hAPP(hAPP(c_COMBB(_u20637, tc_HOL_Obool, _u20638), hAPP(c_Orderings_Oord__class_Oless(_u20637), _u20641)), _u20639), _u20640)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u20642) | ( c_List_Oembed__list(c_List_Oreturn__list(_u20642)) = _u20642) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20643)), c_List_Oremdups(_u20643, c_List_Oconcat(_u20643, _u20644))) = hAPP(c_Finite__Set_Ocard(_u20643), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20643), tc_fun(_u20643, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20643)), _u20644)), c_List_Oset(_u20643)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u20645), c_List_Oremdups(_u20645, _u20646))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20647)), c_List_Oremdups(_u20647, _u20648))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20647)), _u20648))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u20649, hAPP(hAPP(c_List_Omap(_u20650, _u20649), _u20651), c_List_Oremdups(_u20650, _u20652))) = c_List_Oremdups(_u20649, hAPP(hAPP(c_List_Omap(_u20650, _u20649), _u20651), _u20652))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u20653) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u20653)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u20654), c_List_Oremdups(_u20654, _u20655)) = hAPP(c_List_Oset(_u20654), _u20655)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u20656, c_List_Olist_ONil(_u20656)) = c_List_Olist_ONil(_u20656)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u20659) != c_List_Oremdups(_u20659, _u20661)) | ( _u20661 = c_List_Olist_ONil(_u20659)) )).
% 13.06/13.29 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u20662 != c_List_Olist_ONil(_u20660)) | ( c_List_Olist_ONil(_u20660) = c_List_Oremdups(_u20660, _u20662)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u20665, _u20667) != c_List_Olist_ONil(_u20665)) | ( _u20667 = c_List_Olist_ONil(_u20665)) )).
% 13.06/13.29 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u20668 != c_List_Olist_ONil(_u20666)) | ( c_List_Oremdups(_u20666, _u20668) = c_List_Olist_ONil(_u20666)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u20669) | ~c_List_Olinorder__class_Osorted(_u20669, _u20670) | c_List_Olinorder__class_Osorted(_u20669, c_List_Oremdups(_u20669, _u20670)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20671), _u20672)) | ( c_List_Oremove1(_u20671, _u20673, c_List_Oremdups(_u20671, _u20672)) = c_List_Oremdups(_u20671, c_List_Oremove1(_u20671, _u20673, _u20672))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20674), _u20675)) | ( c_List_Oremdups(_u20674, _u20675) = _u20675) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u20678, _u20680) != _u20680) | hBOOL(hAPP(c_List_Odistinct(_u20678), _u20680)) )).
% 13.06/13.29 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20679), _u20681)) | ( c_List_Oremdups(_u20679, _u20681) = _u20681) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20684)), c_List_Oremdups(_u20684, _u20686)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20684)), _u20686)) | ( c_List_Oremdups(_u20684, _u20686) = _u20686) )).
% 13.06/13.29 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u20685, _u20687) != _u20687) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20685)), c_List_Oremdups(_u20685, _u20687)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20685)), _u20687)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u20688, c_List_Oremdups(_u20688, _u20689)) = c_List_Oremdups(_u20688, _u20689)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u20690, hAPP(c_List_Ofilter(_u20690, _u20691), _u20692)) = hAPP(c_List_Ofilter(_u20690, _u20691), c_List_Oremdups(_u20690, _u20692))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20696), _u20698), hAPP(c_List_Oset(_u20696), _u20700))) | ( c_List_Oremdups(_u20696, hAPP(hAPP(c_List_Olist_OCons(_u20696), _u20698), _u20700)) = c_List_Oremdups(_u20696, _u20700)) )).
% 13.06/13.29 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u20697), _u20699), hAPP(c_List_Oset(_u20697), _u20701))) | ( c_List_Oremdups(_u20697, hAPP(hAPP(c_List_Olist_OCons(_u20697), _u20699), _u20701)) = hAPP(hAPP(c_List_Olist_OCons(_u20697), _u20699), c_List_Oremdups(_u20697, _u20701))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20702)), c_List_Oremdups(_u20702, _u20703)) = hAPP(c_Finite__Set_Ocard(_u20702), hAPP(c_List_Oset(_u20702), _u20703))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20704, _u20705, _u20706) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20704, _u20705, _u20706), _u20707), hAPP(c_List_Oset(_u20704), _u20708)) = hAPP(c_List_Ofoldl(_u20705, _u20704, hAPP(c_COMBC(_u20704, _u20705, _u20705), _u20706), _u20707), c_List_Oremdups(_u20704, _u20708))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u20709), _u20710) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u20709)), c_List_Oembed__list(_u20710)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20711), _u20712)) | ~hBOOL(hAPP(hAPP(c_member(_u20711), _u20713), hAPP(c_List_Oset(_u20711), _u20712))) | ( c_List_OtakeWhile(_u20711, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20711), c_fNot), hAPP(hAPP(c_COMBC(_u20711, _u20711, tc_HOL_Obool), c_fequal), _u20713)), hAPP(c_List_Orev(_u20711), _u20712)) = hAPP(c_List_Orev(_u20711), hAPP(c_List_Otl(_u20711), c_List_OdropWhile(_u20711, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20711), c_fNot), hAPP(hAPP(c_COMBC(_u20711, _u20711, tc_HOL_Obool), c_fequal), _u20713)), _u20712)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20714), _u20715)) | ~hBOOL(hAPP(hAPP(c_member(_u20714), _u20716), hAPP(c_List_Oset(_u20714), _u20715))) | ( c_List_OdropWhile(_u20714, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20714), c_fNot), hAPP(hAPP(c_COMBC(_u20714, _u20714, tc_HOL_Obool), c_fequal), _u20716)), hAPP(c_List_Orev(_u20714), _u20715)) = hAPP(hAPP(c_List_Olist_OCons(_u20714), _u20716), hAPP(c_List_Orev(_u20714), c_List_OtakeWhile(_u20714, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20714), c_fNot), hAPP(hAPP(c_COMBC(_u20714, _u20714, tc_HOL_Obool), c_fequal), _u20716)), _u20715)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u20717, _u20718, hAPP(hAPP(c_List_Omap(_u20719, _u20717), _u20720), _u20721)) = hAPP(hAPP(c_List_Omap(_u20719, _u20717), _u20720), c_List_OdropWhile(_u20719, hAPP(c_Fun_Ocomp(_u20717, tc_HOL_Obool, _u20719, _u20718), _u20720), _u20721))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20722), c_List_OtakeWhile(_u20722, _u20723, _u20724)), c_List_OdropWhile(_u20722, _u20723, _u20724)) = _u20724) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 13.06/13.29 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(_u20725)), c_List_OdropWhile(_u20725, _u20726, _u20727))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20725)), _u20727))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u20728), _u20729)) | hBOOL(hAPP(c_List_Odistinct(_u20728), c_List_OdropWhile(_u20728, _u20730, _u20729))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u20735, _u20737)) | ( c_List_OdropWhile(_u20739, _u20735, hAPP(hAPP(c_List_Olist_OCons(_u20739), _u20737), _u20741)) = c_List_OdropWhile(_u20739, _u20735, _u20741)) )).
% 13.06/13.29 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u20736, _u20738)) | ( c_List_OdropWhile(_u20740, _u20736, hAPP(hAPP(c_List_Olist_OCons(_u20740), _u20738), _u20742)) = hAPP(hAPP(c_List_Olist_OCons(_u20740), _u20738), _u20742)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u20743) | ~c_List_Olinorder__class_Osorted(_u20743, _u20744) | c_List_Olinorder__class_Osorted(_u20743, c_List_OdropWhile(_u20743, _u20745, _u20744)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u20746, _u20747, c_List_Olist_ONil(_u20746)) = c_List_Olist_ONil(_u20746)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 13.06/13.29 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u20748, _u20749, _u20750) = c_List_Olist_ONil(_u20748)) | ~hBOOL(hAPP(_u20749, hAPP(c_List_Ohd(_u20748), c_List_OdropWhile(_u20748, _u20749, _u20750)))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20751) | class_Lattices_Obounded__lattice(tc_fun(_u20752, _u20751)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20753) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20754, _u20753)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20755) | class_Lattices_Obounded__lattice__top(tc_fun(_u20756, _u20755)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20757) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20758, _u20757)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20759) | class_Lattices_Osemilattice__sup(tc_fun(_u20760, _u20759)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20761) | class_Lattices_Osemilattice__inf(tc_fun(_u20762, _u20761)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20763) | class_Lattices_Odistrib__lattice(tc_fun(_u20764, _u20763)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20765) | class_Lattices_Oboolean__algebra(tc_fun(_u20766, _u20765)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20767) | class_Orderings_Opreorder(tc_fun(_u20768, _u20767)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20769) | ~class_Finite__Set_Ofinite(_u20770) | class_Finite__Set_Ofinite(tc_fun(_u20769, _u20770)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20771) | class_Lattices_Olattice(tc_fun(_u20772, _u20771)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20773) | class_Orderings_Oorder(tc_fun(_u20774, _u20773)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20775) | class_Orderings_Otop(tc_fun(_u20776, _u20775)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20777) | class_Orderings_Oord(tc_fun(_u20778, _u20777)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20779) | class_Orderings_Obot(tc_fun(_u20780, _u20779)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20781) | class_Groups_Ouminus(tc_fun(_u20782, _u20781)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20783) | class_Groups_Ominus(tc_fun(_u20784, _u20783)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Smallcheck_Osmall ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20785) | ~class_Finite__Set_Ofinite(_u20786) | class_Finite__Set_Ofinite(tc_sum(_u20785, _u20786)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20787) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20787)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20788) | ~class_Finite__Set_Ofinite(_u20789) | class_Finite__Set_Ofinite(tc_prod(_u20788, _u20789)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_prod__Smallcheck_Osmall ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_prod__Smallcheck_Osmall-1, axiom, ( ~class_Smallcheck_Osmall(_u20790) | ~class_Smallcheck_Osmall(_u20791) | class_Smallcheck_Osmall(tc_prod(_u20790, _u20791)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Product____Type__Ounit__Smallcheck_Osmall ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Product____Type__Ounit__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 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) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 13.06/13.29 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) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 13.06/13.29 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20792), _u20793) = _u20793) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20794, _u20795), _u20796), _u20797) = _u20796) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20798, _u20799, _u20800), _u20801), _u20802), _u20803) = hAPP(_u20801, hAPP(_u20802, _u20803))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20804, _u20805, _u20806), _u20807), _u20808), _u20809) = hAPP(hAPP(_u20807, _u20809), _u20808)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20810, _u20811, _u20812), _u20813), _u20814), _u20815) = hAPP(hAPP(_u20813, _u20815), hAPP(_u20814, _u20815))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20816), _u20817)) | ( _u20816 = _u20817) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fequal__2-1, axiom, ( ( _u20818 != _u20819) | hBOOL(hAPP(hAPP(c_fequal, _u20818), _u20819)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20820)) | ~hBOOL(_u20820) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20821) | hBOOL(hAPP(c_fNot, _u20821)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20823) | ~hBOOL(_u20822) | hBOOL(hAPP(hAPP(c_fconj, _u20822), _u20823)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20824), _u20825)) | hBOOL(_u20824) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20827) | ~hBOOL(hAPP(hAPP(c_fconj, _u20826), _u20827)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20828) | hBOOL(hAPP(hAPP(c_fdisj, _u20828), _u20829)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20830) | hBOOL(hAPP(hAPP(c_fdisj, _u20831), _u20830)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20833) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20832), _u20833)) | hBOOL(_u20832) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20834) | hBOOL(hAPP(hAPP(c_fimplies, _u20834), _u20835)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20836) | hBOOL(hAPP(hAPP(c_fimplies, _u20837), _u20836)) )).
% 13.06/13.29
% 13.06/13.29 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 13.06/13.29 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20839) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20838), _u20839)) | ~hBOOL(_u20838) )).
% 13.06/13.29
% 13.06/13.29 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 13.06/13.29 cnf(conj_0-1, hypothesis, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)), _u20840), v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a, hAPP(c_Nat_OSuc, v_na), _u20840) )).
% 13.06/13.29
% 13.06/13.29 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 13.06/13.29 cnf(conj_1-1, hypothesis, ( ~v_P(_u20843, _u20842) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, v_pn), _u20842, hAPP(c_Nat_OSuc, v_na), _u20841) | v_Q(_u20843, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u20841), hAPP(c_Natural_Ogetlocs, v_s_H))), v_X), hAPP(hAPP(c_Natural_Ogetlocs, _u20841), c_Com_ORes))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 13.06/13.29 cnf(conj_2-1, hypothesis, ( v_P(v_Z, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, v_s_H), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), v_a(v_s_H))) )).
% 13.06/13.29
% 13.06/13.29 % Formula: conj_3 ( hypothesis ) converted to clauses:
% 13.06/13.29 cnf(conj_3-1, hypothesis, ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, v_s_H), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), v_a(v_s_H)), v_na, v_s1) )).
% 13.06/13.29
% 13.06/13.29 % Formula: conj_4 ( conjecture ) (definitionally) converted to clauses:
% 13.06/13.29 cnf(conj_4-1, negated_conjecture, ( ~v_Q(v_Z, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, v_s1), hAPP(c_Natural_Ogetlocs, v_s_H))), v_X), hAPP(hAPP(c_Natural_Ogetlocs, v_s1), c_Com_ORes))) )).
% 13.06/13.29
% 13.06/13.29 % Problem matrix:
% 13.06/13.29 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 13.06/13.29 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 13.06/13.29 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 13.06/13.29 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_OLoc(__eqx_0) = c_Com_Ovname_OLoc(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OCall(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OCall(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.29 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Natural_Oevalc(__eqx_0) = c_Natural_Oevalc(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OLocal(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OLocal(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.29 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.29 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.29 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Com_Ovname_Ovname__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Com_Ovname_Ovname__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.29 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Com_Ovname_Ovname__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Com_Ovname_Ovname__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.29 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OAss(__eqx_0, __eqx_1) = c_Com_Ocom_OAss(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Hoare__Mirabelle_Otriple_Otriple__size(__eqx_0, __eqx_1, __eqx_2) = c_Hoare__Mirabelle_Otriple_Otriple__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.29 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_Ovname__size(__eqx_0) = c_Com_Ovname_Ovname__size(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_OGlb(__eqx_0) = c_Com_Ovname_OGlb(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_OSome(__eqx_0) = c_Option_Ooption_OSome(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-25, 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)) )).
% 13.06/13.29 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Option_Ooption_Ooption__size(__eqx_0, __eqx_1, __eqx_2) = c_Option_Ooption_Ooption__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.29 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OSemi(__eqx_0, __eqx_1) = c_Com_Ocom_OSemi(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OCond(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OCond(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.29 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.29 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.29 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OWhile(__eqx_0, __eqx_1) = c_Com_Ocom_OWhile(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-41, 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)) )).
% 13.06/13.29 cnf(matrix-42, 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)) )).
% 13.06/13.29 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-45, 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)) )).
% 13.06/13.29 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-48, 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)) )).
% 13.06/13.29 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-54, 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)) )).
% 13.06/13.29 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-60, 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)) )).
% 13.06/13.29 cnf(matrix-61, 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)) )).
% 13.06/13.29 cnf(matrix-62, 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)) )).
% 13.06/13.29 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-65, 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)) )).
% 13.06/13.29 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-67, 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)) )).
% 13.06/13.29 cnf(matrix-68, 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)) )).
% 13.06/13.29 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-73, 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)) )).
% 13.06/13.29 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-76, 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)) )).
% 13.06/13.29 cnf(matrix-77, 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)) )).
% 13.06/13.29 cnf(matrix-78, 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)) )).
% 13.06/13.29 cnf(matrix-79, 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)) )).
% 13.06/13.29 cnf(matrix-80, 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)) )).
% 13.06/13.29 cnf(matrix-81, 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)) )).
% 13.06/13.29 cnf(matrix-82, 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)) )).
% 13.06/13.29 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-84, 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)) )).
% 13.06/13.29 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-86, 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)) )).
% 13.06/13.29 cnf(matrix-87, 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)) )).
% 13.06/13.29 cnf(matrix-88, 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)) )).
% 13.06/13.29 cnf(matrix-89, 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)) )).
% 13.06/13.29 cnf(matrix-90, 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)) )).
% 13.06/13.29 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-92, 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)) )).
% 13.06/13.29 cnf(matrix-93, 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)) )).
% 13.06/13.29 cnf(matrix-94, 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)) )).
% 13.06/13.29 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-96, 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)) )).
% 13.06/13.29 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-99, 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)) )).
% 13.06/13.29 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-101, 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)) )).
% 13.06/13.29 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omax(__eqx_0, __eqx_1) = c_Orderings_Oord_Omax(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-103, 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)) )).
% 13.06/13.29 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)) )).
% 13.06/13.29 cnf(matrix-105, 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)) )).
% 13.06/13.29 cnf(matrix-106, 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)) )).
% 13.06/13.29 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-108, 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)) )).
% 13.06/13.29 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-110, 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)) )).
% 13.06/13.29 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-112, 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)) )).
% 13.06/13.29 cnf(matrix-113, 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)) )).
% 13.06/13.29 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-116, 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)) )).
% 13.06/13.29 cnf(matrix-117, 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)) )).
% 13.06/13.29 cnf(matrix-118, 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)) )).
% 13.06/13.29 cnf(matrix-119, 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)) )).
% 13.06/13.29 cnf(matrix-120, 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)) )).
% 13.06/13.29 cnf(matrix-121, 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)) )).
% 13.06/13.29 cnf(matrix-122, 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)) )).
% 13.06/13.29 cnf(matrix-123, 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)) )).
% 13.06/13.29 cnf(matrix-124, 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)) )).
% 13.06/13.29 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 13.06/13.29 cnf(matrix-126, 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)) )).
% 13.06/13.29 cnf(matrix-127, 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)) )).
% 13.06/13.29 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 13.06/13.29 cnf(matrix-132, 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)) )).
% 13.06/13.30 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-137, 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)) )).
% 13.06/13.30 cnf(matrix-138, 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)) )).
% 13.06/13.30 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-141, plain, ( ( __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)) )).
% 13.06/13.30 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-143, 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)) )).
% 13.06/13.30 cnf(matrix-144, 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)) )).
% 13.06/13.30 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-146, 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)) )).
% 13.06/13.30 cnf(matrix-147, 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)) )).
% 13.06/13.30 cnf(matrix-148, 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)) )).
% 13.06/13.30 cnf(matrix-149, plain, ( ( __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)) )).
% 13.06/13.30 cnf(matrix-150, 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)) )).
% 13.06/13.30 cnf(matrix-151, 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)) )).
% 13.06/13.30 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-153, 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)) )).
% 13.06/13.30 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-156, 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)) )).
% 13.06/13.30 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Oset(__eqx_0, __eqx_1) = c_Option_Oset(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-159, 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)) )).
% 13.06/13.30 cnf(matrix-160, 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)) )).
% 13.06/13.30 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-162, 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)) )).
% 13.06/13.30 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-165, 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)) )).
% 13.06/13.30 cnf(matrix-166, 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)) )).
% 13.06/13.30 cnf(matrix-167, 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)) )).
% 13.06/13.30 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-169, 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)) )).
% 13.06/13.30 cnf(matrix-170, 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)) )).
% 13.06/13.30 cnf(matrix-171, 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)) )).
% 13.06/13.30 cnf(matrix-172, 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)) )).
% 13.06/13.30 cnf(matrix-173, 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)) )).
% 13.06/13.30 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-180, 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)) )).
% 13.06/13.30 cnf(matrix-181, 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)) )).
% 13.06/13.30 cnf(matrix-182, 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)) )).
% 13.06/13.30 cnf(matrix-183, 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)) )).
% 13.06/13.30 cnf(matrix-184, 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)) )).
% 13.06/13.30 cnf(matrix-185, 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)) )).
% 13.06/13.30 cnf(matrix-186, 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)) )).
% 13.06/13.30 cnf(matrix-187, 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)) )).
% 13.06/13.30 cnf(matrix-188, 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)) )).
% 13.06/13.30 cnf(matrix-189, 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)) )).
% 13.06/13.30 cnf(matrix-190, 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)) )).
% 13.06/13.30 cnf(matrix-191, 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)) )).
% 13.06/13.30 cnf(matrix-192, 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)) )).
% 13.06/13.30 cnf(matrix-193, 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)) )).
% 13.06/13.30 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-196, 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)) )).
% 13.06/13.30 cnf(matrix-197, 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)) )).
% 13.06/13.30 cnf(matrix-198, 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)) )).
% 13.06/13.30 cnf(matrix-199, 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)) )).
% 13.06/13.30 cnf(matrix-200, 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)) )).
% 13.06/13.30 cnf(matrix-201, 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)) )).
% 13.06/13.30 cnf(matrix-202, 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)) )).
% 13.06/13.30 cnf(matrix-203, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-204, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-205, 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)) )).
% 13.06/13.30 cnf(matrix-206, 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)) )).
% 13.06/13.30 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1) = c_Fun_Ofun__upd(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-209, 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)) )).
% 13.06/13.30 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-211, 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)) )).
% 13.06/13.30 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Oran(__eqx_0, __eqx_1, __eqx_2) = c_Map_Oran(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Orestrict__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Orestrict__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Odom(__eqx_0, __eqx_1, __eqx_2) = c_Map_Odom(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-217, 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)) )).
% 13.06/13.30 cnf(matrix-218, 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)) )).
% 13.06/13.30 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-220, 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)) )).
% 13.06/13.30 cnf(matrix-221, 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)) )).
% 13.06/13.30 cnf(matrix-222, 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)) )).
% 13.06/13.30 cnf(matrix-223, plain, ( ( __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)) )).
% 13.06/13.30 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-225, 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)) )).
% 13.06/13.30 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-227, 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)) )).
% 13.06/13.30 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-229, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-231, 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)) )).
% 13.06/13.30 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-237, 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)) )).
% 13.06/13.30 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-239, 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)) )).
% 13.06/13.30 cnf(matrix-240, 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)) )).
% 13.06/13.30 cnf(matrix-241, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Hoare__Mirabelle_Opeek__and(__eqx_0, __eqx_1, __eqx_2) = c_Hoare__Mirabelle_Opeek__and(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-243, 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)) )).
% 13.06/13.30 cnf(matrix-244, 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)) )).
% 13.06/13.30 cnf(matrix-245, 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)) )).
% 13.06/13.30 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-247, 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)) )).
% 13.06/13.30 cnf(matrix-248, 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)) )).
% 13.06/13.30 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-250, 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)) )).
% 13.06/13.30 cnf(matrix-251, 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)) )).
% 13.06/13.30 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osingle(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osingle(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-253, 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)) )).
% 13.06/13.30 cnf(matrix-254, 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)) )).
% 13.06/13.30 cnf(matrix-255, 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)) )).
% 13.06/13.30 cnf(matrix-256, 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)) )).
% 13.06/13.30 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-258, 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)) )).
% 13.06/13.30 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-264, 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)) )).
% 13.06/13.30 cnf(matrix-265, 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)) )).
% 13.06/13.30 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Omap__add(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Omap__add(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-267, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Omap__of(__eqx_0, __eqx_1, __eqx_2) = c_Map_Omap__of(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldr(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldr(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Oorelse(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Oorelse(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Ofull__small__class_Ofull__small(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Ofull__small__class_Ofull__small(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Ofull__small_H(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Ofull__small_H(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Osmall_H(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Osmall_H(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-273, plain, ( ( __eqx_0 != __eqy_0) | ( c_Smallcheck_Osmall__class_Osmall(__eqx_0) = c_Smallcheck_Osmall__class_Osmall(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Map_Omap__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Map_Omap__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Omap(__eqx_0, __eqx_1) = c_Option_Omap(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-279, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-280, 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)) )).
% 13.06/13.30 cnf(matrix-281, 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)) )).
% 13.06/13.30 cnf(matrix-282, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-283, 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)) )).
% 13.06/13.30 cnf(matrix-284, 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)) )).
% 13.06/13.30 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-286, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-287, 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)) )).
% 13.06/13.30 cnf(matrix-288, 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)) )).
% 13.06/13.30 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-290, 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)) )).
% 13.06/13.30 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-292, 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)) )).
% 13.06/13.30 cnf(matrix-293, 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)) )).
% 13.06/13.30 cnf(matrix-294, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-295, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-298, 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)) )).
% 13.06/13.30 cnf(matrix-299, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Oanamorph(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Oanamorph(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-301, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-302, 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)) )).
% 13.06/13.30 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Map_Omap__upds(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Map_Omap__upds(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-304, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-311, 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)) )).
% 13.06/13.30 cnf(matrix-312, 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)) )).
% 13.06/13.30 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-317, 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)) )).
% 13.06/13.30 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omap__filter(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omap__filter(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-324, 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)) )).
% 13.06/13.30 cnf(matrix-325, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-328, 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)) )).
% 13.06/13.30 cnf(matrix-329, plain, ( ( __eqx_0 != __eqy_0) | ( v_a(__eqx_0) = v_a(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-336, 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)) )).
% 13.06/13.30 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-341, 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)) )).
% 13.06/13.30 cnf(matrix-342, 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)) )).
% 13.06/13.30 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-345, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem16(__eqx_0, __eqx_1, __eqx_2) = skolem16(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem19(__eqx_0, __eqx_1) = skolem19(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( skolem20(__eqx_0) = skolem20(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem21(__eqx_0, __eqx_1) = skolem21(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem22(__eqx_0, __eqx_1) = skolem22(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem23(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem23(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-355, 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)) )).
% 13.06/13.30 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem28(__eqx_0, __eqx_1, __eqx_2) = skolem28(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem29(__eqx_0, __eqx_1) = skolem29(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem30(__eqx_0, __eqx_1) = skolem30(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( skolem31(__eqx_0) = skolem31(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-361, 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)) )).
% 13.06/13.30 cnf(matrix-362, 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)) )).
% 13.06/13.30 cnf(matrix-363, 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)) )).
% 13.06/13.30 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem36(__eqx_0, __eqx_1) = skolem36(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( skolem37(__eqx_0) = skolem37(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem38(__eqx_0, __eqx_1) = skolem38(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( skolem39(__eqx_0) = skolem39(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem40(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem40(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem41(__eqx_0, __eqx_1) = skolem41(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( skolem42(__eqx_0) = skolem42(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( skolem43(__eqx_0) = skolem43(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( skolem44(__eqx_0) = skolem44(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( skolem45(__eqx_0) = skolem45(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( skolem46(__eqx_0) = skolem46(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( skolem47(__eqx_0) = skolem47(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( skolem48(__eqx_0) = skolem48(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( skolem49(__eqx_0) = skolem49(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem50(__eqx_0, __eqx_1) = skolem50(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem51(__eqx_0, __eqx_1) = skolem51(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem52(__eqx_0, __eqx_1) = skolem52(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem53(__eqx_0, __eqx_1, __eqx_2) = skolem53(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem54(__eqx_0, __eqx_1, __eqx_2) = skolem54(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem55(__eqx_0, __eqx_1, __eqx_2) = skolem55(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem56(__eqx_0, __eqx_1, __eqx_2) = skolem56(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-386, 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)) )).
% 13.06/13.30 cnf(matrix-387, 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)) )).
% 13.06/13.30 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem59(__eqx_0, __eqx_1, __eqx_2) = skolem59(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem60(__eqx_0, __eqx_1, __eqx_2) = skolem60(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-390, 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)) )).
% 13.06/13.30 cnf(matrix-391, 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)) )).
% 13.06/13.30 cnf(matrix-392, 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)) )).
% 13.06/13.30 cnf(matrix-393, 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)) )).
% 13.06/13.30 cnf(matrix-394, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem65(__eqx_0, __eqx_1, __eqx_2) = skolem65(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-395, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem66(__eqx_0, __eqx_1) = skolem66(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-396, 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)) )).
% 13.06/13.30 cnf(matrix-397, 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)) )).
% 13.06/13.30 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem69(__eqx_0, __eqx_1, __eqx_2) = skolem69(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem70(__eqx_0, __eqx_1, __eqx_2) = skolem70(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem71(__eqx_0, __eqx_1, __eqx_2) = skolem71(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem72(__eqx_0, __eqx_1, __eqx_2) = skolem72(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem73(__eqx_0, __eqx_1, __eqx_2) = skolem73(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem74(__eqx_0, __eqx_1, __eqx_2) = skolem74(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-404, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem75(__eqx_0, __eqx_1, __eqx_2) = skolem75(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem76(__eqx_0, __eqx_1, __eqx_2) = skolem76(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-406, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem77(__eqx_0, __eqx_1, __eqx_2) = skolem77(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem78(__eqx_0, __eqx_1, __eqx_2) = skolem78(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem79(__eqx_0, __eqx_1, __eqx_2) = skolem79(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-409, 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)) )).
% 13.06/13.30 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem81(__eqx_0, __eqx_1, __eqx_2) = skolem81(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem82(__eqx_0, __eqx_1, __eqx_2) = skolem82(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-412, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem83(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem83(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem84(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem84(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem85(__eqx_0, __eqx_1, __eqx_2) = skolem85(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem86(__eqx_0, __eqx_1, __eqx_2) = skolem86(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem87(__eqx_0, __eqx_1, __eqx_2) = skolem87(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem88(__eqx_0, __eqx_1, __eqx_2) = skolem88(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem89(__eqx_0, __eqx_1, __eqx_2) = skolem89(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem90(__eqx_0, __eqx_1, __eqx_2) = skolem90(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem91(__eqx_0, __eqx_1, __eqx_2) = skolem91(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem92(__eqx_0, __eqx_1, __eqx_2) = skolem92(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem93(__eqx_0, __eqx_1, __eqx_2) = skolem93(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem94(__eqx_0, __eqx_1, __eqx_2) = skolem94(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem95(__eqx_0, __eqx_1, __eqx_2) = skolem95(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem96(__eqx_0, __eqx_1, __eqx_2) = skolem96(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-426, 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)) )).
% 13.06/13.30 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem98(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem98(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-428, plain, ( ( __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) | ( skolem99(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem99(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-429, 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)) )).
% 13.06/13.30 cnf(matrix-430, 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)) )).
% 13.06/13.30 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem102(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem102(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem103(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem103(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem104(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem104(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-434, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem105(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem105(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem106(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem106(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem108(__eqx_0, __eqx_1) = skolem108(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem109(__eqx_0, __eqx_1) = skolem109(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem110(__eqx_0, __eqx_1) = skolem110(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem111(__eqx_0, __eqx_1) = skolem111(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem112(__eqx_0, __eqx_1) = skolem112(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem113(__eqx_0, __eqx_1) = skolem113(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem114(__eqx_0, __eqx_1) = skolem114(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem115(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem115(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-445, plain, ( ( __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) | ( skolem116(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem116(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem117(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem117(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem118(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem118(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem119(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem119(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem120(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem120(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem121(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem121(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem122(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem122(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem123(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem123(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem124(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem124(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem125(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem125(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem126(__eqx_0, __eqx_1) = skolem126(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( skolem127(__eqx_0) = skolem127(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( skolem128(__eqx_0) = skolem128(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem129(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem129(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( skolem130(__eqx_0) = skolem130(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem131(__eqx_0, __eqx_1, __eqx_2) = skolem131(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-461, plain, ( ( __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) | ( skolem132(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8) = skolem132(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8)) )).
% 13.06/13.30 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( skolem133(__eqx_0) = skolem133(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem134(__eqx_0, __eqx_1) = skolem134(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( skolem135(__eqx_0) = skolem135(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem136(__eqx_0, __eqx_1) = skolem136(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem137(__eqx_0, __eqx_1, __eqx_2) = skolem137(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem138(__eqx_0, __eqx_1, __eqx_2) = skolem138(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem139(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem139(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem140(__eqx_0, __eqx_1) = skolem140(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem141(__eqx_0, __eqx_1) = skolem141(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem142(__eqx_0, __eqx_1) = skolem142(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem143(__eqx_0, __eqx_1) = skolem143(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem144(__eqx_0, __eqx_1) = skolem144(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem145(__eqx_0, __eqx_1) = skolem145(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem146(__eqx_0, __eqx_1) = skolem146(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem147(__eqx_0, __eqx_1) = skolem147(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem148(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem148(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem149(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem149(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem150(__eqx_0, __eqx_1) = skolem150(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem151(__eqx_0, __eqx_1) = skolem151(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem152(__eqx_0, __eqx_1) = skolem152(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem153(__eqx_0, __eqx_1) = skolem153(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-483, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem154(__eqx_0, __eqx_1, __eqx_2) = skolem154(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem155(__eqx_0, __eqx_1, __eqx_2) = skolem155(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem156(__eqx_0, __eqx_1, __eqx_2) = skolem156(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-486, 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)) )).
% 13.06/13.30 cnf(matrix-487, 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)) )).
% 13.06/13.30 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem159(__eqx_0, __eqx_1, __eqx_2) = skolem159(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem160(__eqx_0, __eqx_1, __eqx_2) = skolem160(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem161(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem161(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem162(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem162(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem163(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem163(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-493, 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)) )).
% 13.06/13.30 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem165(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem165(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem166(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem166(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem167(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem167(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-497, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem170(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem170(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-500, 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)) )).
% 13.06/13.30 cnf(matrix-501, 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)) )).
% 13.06/13.30 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem173(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem173(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem174(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem174(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem175(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem175(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 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) | ( __eqx_6 != __eqy_6) | ( skolem176(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem176(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 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) | ( __eqx_6 != __eqy_6) | ( skolem177(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem177(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-507, plain, ( ( __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) | ( skolem178(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem178(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 13.06/13.30 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem179(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem179(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 13.06/13.30 cnf(matrix-509, plain, ( ( __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) | ( skolem180(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem180(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-510, plain, ( ( __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) | ( skolem181(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem181(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem182(__eqx_0, __eqx_1, __eqx_2) = skolem182(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem183(__eqx_0, __eqx_1, __eqx_2) = skolem183(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem184(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem184(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem185(__eqx_0, __eqx_1, __eqx_2) = skolem185(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem186(__eqx_0, __eqx_1, __eqx_2) = skolem186(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-516, 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)) )).
% 13.06/13.30 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem188(__eqx_0, __eqx_1, __eqx_2) = skolem188(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-518, 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)) )).
% 13.06/13.30 cnf(matrix-519, 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)) )).
% 13.06/13.30 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem191(__eqx_0, __eqx_1, __eqx_2) = skolem191(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem192(__eqx_0, __eqx_1, __eqx_2) = skolem192(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem193(__eqx_0, __eqx_1, __eqx_2) = skolem193(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem194(__eqx_0, __eqx_1, __eqx_2) = skolem194(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem195(__eqx_0, __eqx_1, __eqx_2) = skolem195(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem196(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem196(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem197(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem197(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem198(__eqx_0, __eqx_1, __eqx_2) = skolem198(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem199(__eqx_0, __eqx_1, __eqx_2) = skolem199(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem200(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem200(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem201(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem201(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem202(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem202(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem203(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem203(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-533, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem204(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem204(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem205(__eqx_0, __eqx_1) = skolem205(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem206(__eqx_0, __eqx_1) = skolem206(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem207(__eqx_0, __eqx_1) = skolem207(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem208(__eqx_0, __eqx_1) = skolem208(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem209(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem209(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem210(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem210(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem211(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem211(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem212(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem212(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem213(__eqx_0, __eqx_1, __eqx_2) = skolem213(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-543, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem214(__eqx_0, __eqx_1, __eqx_2) = skolem214(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem215(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem215(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem216(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem216(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem217(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem217(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem218(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem218(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-548, 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)) )).
% 13.06/13.30 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem220(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem220(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem221(__eqx_0, __eqx_1, __eqx_2) = skolem221(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem222(__eqx_0, __eqx_1, __eqx_2) = skolem222(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-552, 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)) )).
% 13.06/13.30 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem224(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem224(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem225(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem225(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-555, 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)) )).
% 13.06/13.30 cnf(matrix-556, 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)) )).
% 13.06/13.30 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem228(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem228(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem229(__eqx_0, __eqx_1) = skolem229(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem230(__eqx_0, __eqx_1) = skolem230(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem231(__eqx_0, __eqx_1) = skolem231(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem232(__eqx_0, __eqx_1) = skolem232(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem233(__eqx_0, __eqx_1) = skolem233(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem234(__eqx_0, __eqx_1) = skolem234(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem235(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem235(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem236(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem236(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem237(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem237(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem238(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem238(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem239(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem239(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem240(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem240(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem241(__eqx_0, __eqx_1) = skolem241(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem242(__eqx_0, __eqx_1) = skolem242(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem243(__eqx_0, __eqx_1) = skolem243(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem244(__eqx_0, __eqx_1) = skolem244(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-574, 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)) )).
% 13.06/13.30 cnf(matrix-575, 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)) )).
% 13.06/13.30 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem247(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem247(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem248(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem248(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-578, 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)) )).
% 13.06/13.30 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem252(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem252(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem253(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem253(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-583, 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)) )).
% 13.06/13.30 cnf(matrix-584, 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)) )).
% 13.06/13.30 cnf(matrix-585, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem256(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem256(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-586, 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)) )).
% 13.06/13.30 cnf(matrix-587, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem258(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem258(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-588, 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)) )).
% 13.06/13.30 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem260(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem260(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem261(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem261(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem262(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem262(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem263(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem263(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem264(__eqx_0, __eqx_1, __eqx_2) = skolem264(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-594, 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)) )).
% 13.06/13.30 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem266(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem266(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem267(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem267(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem268(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem268(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem269(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem269(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-599, 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)) )).
% 13.06/13.30 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem271(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem271(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem272(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem272(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-602, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem273(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem273(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem274(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem274(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem275(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem275(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-605, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem276(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem276(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-606, 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)) )).
% 13.06/13.30 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( skolem278(__eqx_0) = skolem278(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( skolem279(__eqx_0) = skolem279(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( skolem280(__eqx_0) = skolem280(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( skolem281(__eqx_0) = skolem281(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem282(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem282(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem283(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem283(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-614, 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)) )).
% 13.06/13.30 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem286(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem286(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem287(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem287(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem288(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem288(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem289(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem289(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem290(__eqx_0, __eqx_1, __eqx_2) = skolem290(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-620, 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)) )).
% 13.06/13.30 cnf(matrix-621, 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)) )).
% 13.06/13.30 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem293(__eqx_0, __eqx_1, __eqx_2) = skolem293(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-623, 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)) )).
% 13.06/13.30 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem296(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem296(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem297(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem297(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem298(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem298(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem299(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem299(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem300(__eqx_0, __eqx_1) = skolem300(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem301(__eqx_0, __eqx_1) = skolem301(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem302(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem302(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-632, 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)) )).
% 13.06/13.30 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem304(__eqx_0, __eqx_1, __eqx_2) = skolem304(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem306(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem306(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-636, plain, ( ( __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) | ( skolem307(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem307(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 13.06/13.30 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem308(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem308(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 13.06/13.30 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem309(__eqx_0, __eqx_1, __eqx_2) = skolem309(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem310(__eqx_0, __eqx_1, __eqx_2) = skolem310(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem311(__eqx_0, __eqx_1, __eqx_2) = skolem311(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem312(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem312(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem313(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem313(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem314(__eqx_0, __eqx_1) = skolem314(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( skolem315(__eqx_0) = skolem315(__eqy_0)) )).
% 13.06/13.30 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) | ( __eqx_6 != __eqy_6) | ( skolem316(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem316(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( skolem317(__eqx_0) = skolem317(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( skolem318(__eqx_0) = skolem318(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem319(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem319(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem320(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem320(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem321(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem321(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem322(__eqx_0, __eqx_1) = skolem322(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem323(__eqx_0, __eqx_1) = skolem323(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem324(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem324(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem325(__eqx_0, __eqx_1) = skolem325(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem326(__eqx_0, __eqx_1, __eqx_2) = skolem326(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem327(__eqx_0, __eqx_1) = skolem327(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem328(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem328(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem329(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem329(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem330(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem330(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-660, 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)) )).
% 13.06/13.30 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem332(__eqx_0, __eqx_1) = skolem332(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem333(__eqx_0, __eqx_1) = skolem333(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-663, 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)) )).
% 13.06/13.30 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem335(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem335(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem336(__eqx_0, __eqx_1) = skolem336(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-666, 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)) )).
% 13.06/13.30 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem338(__eqx_0, __eqx_1, __eqx_2) = skolem338(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem339(__eqx_0, __eqx_1, __eqx_2) = skolem339(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem340(__eqx_0, __eqx_1, __eqx_2) = skolem340(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem341(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem341(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( skolem342(__eqx_0) = skolem342(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem343(__eqx_0, __eqx_1) = skolem343(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem344(__eqx_0, __eqx_1, __eqx_2) = skolem344(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-674, 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)) )).
% 13.06/13.30 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem346(__eqx_0, __eqx_1, __eqx_2) = skolem346(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem347(__eqx_0, __eqx_1, __eqx_2) = skolem347(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem348(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem348(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem349(__eqx_0, __eqx_1) = skolem349(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-679, 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)) )).
% 13.06/13.30 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem351(__eqx_0, __eqx_1, __eqx_2) = skolem351(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-681, 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)) )).
% 13.06/13.30 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem353(__eqx_0, __eqx_1, __eqx_2) = skolem353(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem354(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem354(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem355(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem355(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem356(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem356(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem357(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem357(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem358(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem358(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem359(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem359(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem360(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem360(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem361(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem361(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 13.06/13.30 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem362(__eqx_0, __eqx_1) = skolem362(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem363(__eqx_0, __eqx_1) = skolem363(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-693, plain, ( ( __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)) )).
% 13.06/13.30 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem365(__eqx_0, __eqx_1, __eqx_2) = skolem365(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem366(__eqx_0, __eqx_1, __eqx_2) = skolem366(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem367(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem367(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem368(__eqx_0, __eqx_1) = skolem368(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-698, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem369(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem369(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 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) | ( skolem371(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem371(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem372(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem372(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem373(__eqx_0, __eqx_1, __eqx_2) = skolem373(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem374(__eqx_0, __eqx_1, __eqx_2) = skolem374(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-704, 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)) )).
% 13.06/13.30 cnf(matrix-705, plain, ( ( __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)) )).
% 13.06/13.30 cnf(matrix-706, plain, ( ( __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)) )).
% 13.06/13.30 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem378(__eqx_0, __eqx_1) = skolem378(__eqy_0, __eqy_1)) )).
% 13.06/13.30 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) | ( skolem379(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem379(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem380(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem380(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-710, 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)) )).
% 13.06/13.30 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem382(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem382(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem383(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem383(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem384(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem384(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem385(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem385(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem386(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem386(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem387(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem387(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem388(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem388(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-718, plain, ( ( __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) | ( skolem389(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem389(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 13.06/13.30 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem390(__eqx_0, __eqx_1, __eqx_2) = skolem390(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem391(__eqx_0, __eqx_1, __eqx_2) = skolem391(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem392(__eqx_0, __eqx_1, __eqx_2) = skolem392(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem393(__eqx_0, __eqx_1, __eqx_2) = skolem393(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem394(__eqx_0, __eqx_1, __eqx_2) = skolem394(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem395(__eqx_0, __eqx_1, __eqx_2) = skolem395(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem396(__eqx_0, __eqx_1, __eqx_2) = skolem396(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-726, 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)) )).
% 13.06/13.30 cnf(matrix-727, 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)) )).
% 13.06/13.30 cnf(matrix-728, 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)) )).
% 13.06/13.30 cnf(matrix-729, 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)) )).
% 13.06/13.30 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem401(__eqx_0, __eqx_1, __eqx_2) = skolem401(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem402(__eqx_0, __eqx_1, __eqx_2) = skolem402(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem403(__eqx_0, __eqx_1, __eqx_2) = skolem403(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem404(__eqx_0, __eqx_1, __eqx_2) = skolem404(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem405(__eqx_0, __eqx_1, __eqx_2) = skolem405(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-735, 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)) )).
% 13.06/13.30 cnf(matrix-736, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem407(__eqx_0, __eqx_1, __eqx_2) = skolem407(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem408(__eqx_0, __eqx_1) = skolem408(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem409(__eqx_0, __eqx_1, __eqx_2) = skolem409(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-739, 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)) )).
% 13.06/13.30 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem411(__eqx_0, __eqx_1, __eqx_2) = skolem411(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem412(__eqx_0, __eqx_1, __eqx_2) = skolem412(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-742, 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)) )).
% 13.06/13.30 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem414(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem414(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-744, plain, ( ( __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) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem416(__eqx_0, __eqx_1) = skolem416(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem417(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem417(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem418(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem418(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem420(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem420(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem421(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem421(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-751, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem422(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem422(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem423(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem423(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem424(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem424(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem426(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem426(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem427(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem427(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem428(__eqx_0, __eqx_1, __eqx_2) = skolem428(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem429(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem429(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem430(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem430(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem431(__eqx_0, __eqx_1) = skolem431(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem432(__eqx_0, __eqx_1, __eqx_2) = skolem432(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem433(__eqx_0, __eqx_1) = skolem433(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem434(__eqx_0, __eqx_1) = skolem434(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-764, 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)) )).
% 13.06/13.30 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem436(__eqx_0, __eqx_1) = skolem436(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem437(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem437(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem438(__eqx_0, __eqx_1, __eqx_2) = skolem438(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem439(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem439(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem440(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem440(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem441(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem441(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-771, 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)) )).
% 13.06/13.30 cnf(matrix-772, 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)) )).
% 13.06/13.30 cnf(matrix-773, 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)) )).
% 13.06/13.30 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem445(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem445(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem446(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem446(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-776, plain, ( ( __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) | ( skolem447(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem447(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 13.06/13.30 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem448(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem448(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.06/13.30 cnf(matrix-778, 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)) )).
% 13.06/13.30 cnf(matrix-779, 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)) )).
% 13.06/13.30 cnf(matrix-780, 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)) )).
% 13.06/13.30 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem453(__eqx_0, __eqx_1, __eqx_2) = skolem453(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem454(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem454(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-783, 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)) )).
% 13.06/13.30 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem456(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem456(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-785, 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)) )).
% 13.06/13.30 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem458(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem458(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem459(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem459(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( skolem460(__eqx_0) = skolem460(__eqy_0)) )).
% 13.06/13.30 cnf(matrix-789, 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)) )).
% 13.06/13.30 cnf(matrix-790, 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)) )).
% 13.06/13.30 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem463(__eqx_0, __eqx_1, __eqx_2) = skolem463(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem464(__eqx_0, __eqx_1) = skolem464(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem465(__eqx_0, __eqx_1) = skolem465(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem466(__eqx_0, __eqx_1, __eqx_2) = skolem466(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-795, 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)) )).
% 13.06/13.30 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem468(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem468(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem469(__eqx_0, __eqx_1, __eqx_2) = skolem469(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem470(__eqx_0, __eqx_1, __eqx_2) = skolem470(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem471(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem471(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem472(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem472(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem473(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem473(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem474(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem474(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem475(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem475(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.06/13.30 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem476(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem476(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem477(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem477(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem478(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem478(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem479(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem479(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem480(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem480(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem481(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem481(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem482(__eqx_0, __eqx_1) = skolem482(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem483(__eqx_0, __eqx_1, __eqx_2) = skolem483(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-812, 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)) )).
% 13.06/13.30 cnf(matrix-813, 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)) )).
% 13.06/13.30 cnf(matrix-814, 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)) )).
% 13.06/13.30 cnf(matrix-815, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem487(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem487(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem488(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem488(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-817, 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)) )).
% 13.06/13.30 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem490(__eqx_0, __eqx_1, __eqx_2) = skolem490(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem491(__eqx_0, __eqx_1, __eqx_2) = skolem491(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem492(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem492(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem493(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem493(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.06/13.30 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem494(__eqx_0, __eqx_1, __eqx_2) = skolem494(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem495(__eqx_0, __eqx_1, __eqx_2) = skolem495(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem496(__eqx_0, __eqx_1) = skolem496(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem497(__eqx_0, __eqx_1, __eqx_2) = skolem497(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem498(__eqx_0, __eqx_1, __eqx_2) = skolem498(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem499(__eqx_0, __eqx_1, __eqx_2) = skolem499(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem500(__eqx_0, __eqx_1, __eqx_2) = skolem500(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem501(__eqx_0, __eqx_1) = skolem501(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-830, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem502(__eqx_0, __eqx_1) = skolem502(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem503(__eqx_0, __eqx_1, __eqx_2) = skolem503(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem504(__eqx_0, __eqx_1) = skolem504(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem505(__eqx_0, __eqx_1) = skolem505(__eqy_0, __eqy_1)) )).
% 13.06/13.30 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem506(__eqx_0, __eqx_1, __eqx_2) = skolem506(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem507(__eqx_0, __eqx_1, __eqx_2) = skolem507(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem508(__eqx_0, __eqx_1, __eqx_2) = skolem508(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.06/13.30 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Otriple__valid(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Otriple__valid(__eqy_0, __eqy_1, __eqy_2) )).
% 13.06/13.30 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Natural_Oevaln(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Natural_Oevaln(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 13.06/13.30 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 13.06/13.30 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 13.06/13.30 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 13.06/13.30 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-844, 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) )).
% 13.06/13.30 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-850, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 13.06/13.30 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 13.06/13.30 cnf(matrix-853, 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) )).
% 13.06/13.30 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 13.06/13.30 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Option_Ois__none(__eqx_0, __eqx_1) | c_Option_Ois__none(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 13.06/13.30 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 13.06/13.30 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 13.06/13.30 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 13.06/13.30 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 13.06/13.30 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 13.06/13.30 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 13.06/13.30 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 13.06/13.30 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 13.06/13.30 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 13.06/13.30 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 13.06/13.30 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 13.06/13.30 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 13.06/13.30 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 13.06/13.30 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 13.06/13.30 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 13.06/13.30 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 13.06/13.30 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 13.06/13.30 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 13.06/13.30 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 13.06/13.30 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 13.06/13.30 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 13.06/13.30 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 13.06/13.30 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 13.06/13.30 cnf(matrix-893, 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) )).
% 13.06/13.30 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 13.06/13.30 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 13.06/13.30 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 13.06/13.30 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 13.06/13.30 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 13.06/13.30 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 13.06/13.30 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 13.06/13.30 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 13.06/13.30 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 13.06/13.30 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 13.06/13.30 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 13.06/13.30 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 13.06/13.30 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 13.06/13.30 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 13.06/13.30 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 13.06/13.30 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 13.06/13.30 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 13.06/13.30 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 13.06/13.30 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 13.06/13.30 cnf(matrix-916, 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) )).
% 13.06/13.30 cnf(matrix-917, 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) )).
% 13.06/13.30 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 13.06/13.30 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 13.06/13.30 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Orderings_Oorder_Ostrict__mono(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Orderings_Oorder_Ostrict__mono(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 13.06/13.30 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Orderings_Oorder_Omono(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Orderings_Oorder_Omono(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 13.06/13.30 cnf(matrix-922, 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) )).
% 13.06/13.30 cnf(matrix-923, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 13.06/13.30 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) | ~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) )).
% 13.06/13.30 cnf(matrix-925, 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) )).
% 13.06/13.30 cnf(matrix-926, 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) )).
% 13.06/13.30 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 13.06/13.30 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 13.06/13.30 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 13.06/13.30 cnf(matrix-930, 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) )).
% 13.06/13.30 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__valids(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__valids(__eqy_0, __eqy_1, __eqy_2) )).
% 13.06/13.30 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 13.06/13.30 cnf(matrix-934, 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) )).
% 13.06/13.30 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 13.06/13.30 cnf(matrix-936, 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) )).
% 13.06/13.30 cnf(matrix-937, plain, ( ( __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) )).
% 13.06/13.30 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 13.06/13.30 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 13.06/13.30 cnf(matrix-940, plain, ( ( __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) )).
% 13.06/13.30 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 13.06/13.30 cnf(matrix-942, 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) )).
% 13.06/13.30 cnf(matrix-943, 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) )).
% 13.06/13.30 cnf(matrix-944, 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) )).
% 13.06/13.30 cnf(matrix-945, 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) )).
% 13.06/13.30 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 13.06/13.30 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 13.06/13.30 cnf(matrix-948, 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) )).
% 13.06/13.30 cnf(matrix-949, 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) )).
% 13.06/13.30 cnf(matrix-950, 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) )).
% 13.06/13.30 cnf(matrix-951, 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) )).
% 13.06/13.30 cnf(matrix-952, 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) )).
% 13.06/13.30 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ~c_Predicate_Opred__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) | c_Predicate_Opred__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6) )).
% 13.06/13.30 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 13.06/13.30 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-960, 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) )).
% 13.06/13.30 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 13.06/13.30 cnf(matrix-962, 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) )).
% 13.06/13.30 cnf(matrix-963, 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) )).
% 13.06/13.30 cnf(matrix-964, 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) )).
% 13.06/13.30 cnf(matrix-965, 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) )).
% 13.06/13.30 cnf(matrix-966, 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) )).
% 13.06/13.30 cnf(matrix-967, 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) )).
% 13.06/13.30 cnf(matrix-968, plain, ( ( __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) )).
% 13.06/13.30 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Smallcheck_Osmall(__eqx_0) | class_Smallcheck_Osmall(__eqy_0) )).
% 13.06/13.30 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 13.06/13.30 cnf(matrix-971, 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) )).
% 13.06/13.30 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 13.06/13.30 cnf(matrix-973, 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) )).
% 13.06/13.30 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 13.06/13.30 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_P(__eqx_0, __eqx_1) | v_P(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_Q(__eqx_0, __eqx_1) | v_Q(__eqy_0, __eqy_1) )).
% 13.06/13.30 cnf(matrix-977, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 13.06/13.30 cnf(matrix-978, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u3, hAPP(c_Nat_OSuc, _u4), _u5) | c_Hoare__Mirabelle_Otriple__valid(_u3, _u4, _u5) )).
% 13.06/13.30 cnf(matrix-979, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u6)), _u7, _u8, _u9) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u6), _u7, hAPP(c_Nat_OSuc, _u8), _u9) )).
% 13.06/13.30 cnf(matrix-980, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u14), _u16, hAPP(c_Nat_OSuc, _u18), _u20) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u14)), _u16, _u18, _u20) )).
% 13.06/13.30 cnf(matrix-981, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u15)), _u17, _u19, _u21) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u15), _u17, hAPP(c_Nat_OSuc, _u19), _u21) )).
% 13.06/13.30 cnf(matrix-982, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u22), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u23), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u24, _u23)), _u25, _u26) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u27, _u22, _u24), _u23, _u25, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u26), hAPP(c_Natural_Ogetlocs, _u23))), _u27), hAPP(hAPP(c_Natural_Ogetlocs, _u26), c_Com_ORes))) )).
% 13.06/13.30 cnf(matrix-983, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u36, _u38, _u40), _u42, _u44, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u46), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, _u46), c_Com_ORes))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u46), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, _u46), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem2(_u46, _u44, _u42, _u40, _u38, _u36)), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, skolem2(_u46, _u44, _u42, _u40, _u38, _u36)), c_Com_ORes))) )).
% 13.06/13.30 cnf(matrix-984, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u36, _u38, _u40), _u42, _u44, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u46), hAPP(c_Natural_Ogetlocs, _u42))), _u36), hAPP(hAPP(c_Natural_Ogetlocs, _u46), c_Com_ORes))) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u38), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u42), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u40, _u42)), _u44, skolem2(_u46, _u44, _u42, _u40, _u38, _u36)) )).
% 13.06/13.30 cnf(matrix-985, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u47), hAPP(c_Natural_Ogetlocs, _u43))), _u37), hAPP(hAPP(c_Natural_Ogetlocs, _u47), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u29), hAPP(c_Natural_Ogetlocs, _u43))), _u37), hAPP(hAPP(c_Natural_Ogetlocs, _u29), c_Com_ORes))) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u39), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u43), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u41, _u43)), _u45, _u29) | c_Natural_Oevaln(c_Com_Ocom_OCall(_u37, _u39, _u41), _u43, _u45, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u47), hAPP(c_Natural_Ogetlocs, _u43))), _u37), hAPP(hAPP(c_Natural_Ogetlocs, _u47), c_Com_ORes))) )).
% 13.06/13.30 cnf(matrix-986, plain, ( ~c_Natural_Oevaln(_u48, _u49, _u50, _u51) | c_Natural_Oevaln(_u48, _u49, hAPP(c_Nat_OSuc, _u50), _u51) )).
% 13.06/13.30 cnf(matrix-987, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u57, _u59, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u57), _u61), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u63))), _u65)) | c_Hoare__Mirabelle_Otriple__valid(_u57, hAPP(c_Nat_OSuc, _u59), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u57), _u61), hAPP(c_Com_Ocom_OBODY, _u63)), _u65)) )).
% 13.06/13.30 cnf(matrix-988, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u58, hAPP(c_Nat_OSuc, _u60), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u58), _u62), hAPP(c_Com_Ocom_OBODY, _u64)), _u66)) | c_Hoare__Mirabelle_Otriple__valid(_u58, _u60, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u58), _u62), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u64))), _u66)) )).
% 13.06/13.30 cnf(matrix-989, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u68, _u69, _u70), _u71, _u72, _u73) | ( _u73 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem3(_u73, _u72, _u71, _u70, _u69, _u68)), hAPP(c_Natural_Ogetlocs, _u71))), _u68), hAPP(hAPP(c_Natural_Ogetlocs, skolem3(_u73, _u72, _u71, _u70, _u69, _u68)), c_Com_ORes))) )).
% 13.06/13.30 cnf(matrix-990, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCall(_u68, _u69, _u70), _u71, _u72, _u73) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u69), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u71), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u70, _u71)), _u72, skolem3(_u73, _u72, _u71, _u70, _u69, _u68)) )).
% 13.06/13.30 cnf(matrix-991, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u75), _u76, _u77, _u78) | ( _u77 = hAPP(c_Nat_OSuc, skolem4(_u78, _u77, _u76, _u75))) )).
% 13.06/13.30 cnf(matrix-992, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u75), _u76, _u77, _u78) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u75)), _u76, skolem4(_u78, _u77, _u76, _u75), _u78) )).
% 13.06/13.30 cnf(matrix-993, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u79)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u80), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u81, _u80))), _u82)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u83, _u79, _u81)), _u80), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u82), hAPP(c_Natural_Ogetlocs, _u80))), _u83), hAPP(hAPP(c_Natural_Ogetlocs, _u82), c_Com_ORes)))) )).
% 13.06/13.30 cnf(matrix-994, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u91, _u93, _u95)), _u97), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u99), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, _u99), c_Com_ORes)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u99), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, _u99), c_Com_ORes)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem5(_u99, _u97, _u95, _u93, _u91)), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, skolem5(_u99, _u97, _u95, _u93, _u91)), c_Com_ORes))) )).
% 13.06/13.30 cnf(matrix-995, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u91, _u93, _u95)), _u97), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u99), hAPP(c_Natural_Ogetlocs, _u97))), _u91), hAPP(hAPP(c_Natural_Ogetlocs, _u99), c_Com_ORes)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u93)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u97), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u95, _u97))), skolem5(_u99, _u97, _u95, _u93, _u91))) )).
% 13.06/13.30 cnf(matrix-996, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u100), hAPP(c_Natural_Ogetlocs, _u98))), _u92), hAPP(hAPP(c_Natural_Ogetlocs, _u100), c_Com_ORes)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u85), hAPP(c_Natural_Ogetlocs, _u98))), _u92), hAPP(hAPP(c_Natural_Ogetlocs, _u85), c_Com_ORes))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u94)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u98), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u96, _u98))), _u85)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u92, _u94, _u96)), _u98), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u100), hAPP(c_Natural_Ogetlocs, _u98))), _u92), hAPP(hAPP(c_Natural_Ogetlocs, _u100), c_Com_ORes)))) )).
% 13.06/13.30 cnf(matrix-997, plain, ( ~c_Natural_Oevaln(_u101, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u102), c_Com_Ovname_OLoc(_u103)), hAPP(_u104, _u102)), _u105, _u106) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u103, _u104, _u101), _u102, _u105, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u106), c_Com_Ovname_OLoc(_u103)), hAPP(hAPP(c_Natural_Ogetlocs, _u102), _u103))) )).
% 13.06/13.30 cnf(matrix-998, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u107))), _u108), _u109)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u107)), _u108), _u109)) )).
% 13.06/13.30 cnf(matrix-999, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u110)), _u111), _u112)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u110))), _u111), _u112)) )).
% 13.06/13.30 cnf(matrix-1000, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u113), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u114), c_Com_Ovname_OLoc(_u115)), hAPP(_u116, _u114))), _u117)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u115, _u116, _u113)), _u114), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u117), c_Com_Ovname_OLoc(_u115)), hAPP(hAPP(c_Natural_Ogetlocs, _u114), _u115)))) )).
% 13.06/13.30 cnf(matrix-1001, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u127), _u129), _u131) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u133), _u135), _u137)) | ( _u127 = _u133) )).
% 13.06/13.30 cnf(matrix-1002, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u127), _u129), _u131) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u133), _u135), _u137)) | ( _u129 = _u135) )).
% 13.06/13.30 cnf(matrix-1003, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u127), _u129), _u131) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u125), _u133), _u135), _u137)) | ( _u131 = _u137) )).
% 13.06/13.30 cnf(matrix-1004, plain, ( ( _u128 != _u134) | ( _u130 != _u136) | ( _u132 != _u138) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u126), _u128), _u130), _u132) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u126), _u134), _u136), _u138)) )).
% 13.06/13.30 cnf(matrix-1005, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u139), _u140), _u141)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u139), _u140), _u142)) | ( _u142 = _u141) )).
% 13.06/13.30 cnf(matrix-1006, plain, ( ~c_Natural_Oevaln(_u143, _u144, _u145, _u146) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u143), _u144), _u146)) )).
% 13.06/13.30 cnf(matrix-1007, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u152), _u154), _u156)) | c_Natural_Oevaln(_u152, _u154, skolem6(_u156, _u154, _u152), _u156) )).
% 13.06/13.30 cnf(matrix-1008, plain, ( ~c_Natural_Oevaln(_u153, _u155, _u148, _u157) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u153), _u155), _u157)) )).
% 13.06/13.30 cnf(matrix-1009, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u165, _u167, _u169)), _u171), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u173), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u173), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem7(_u173, _u171, _u169, _u167, _u165)), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165))) )).
% 13.06/13.30 cnf(matrix-1010, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u165, _u167, _u169)), _u171), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u173), c_Com_Ovname_OLoc(_u165)), hAPP(hAPP(c_Natural_Ogetlocs, _u171), _u165)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u169), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u171), c_Com_Ovname_OLoc(_u165)), hAPP(_u167, _u171))), skolem7(_u173, _u171, _u169, _u167, _u165))) )).
% 13.06/13.30 cnf(matrix-1011, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u174), c_Com_Ovname_OLoc(_u166)), hAPP(hAPP(c_Natural_Ogetlocs, _u172), _u166)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u159), c_Com_Ovname_OLoc(_u166)), hAPP(hAPP(c_Natural_Ogetlocs, _u172), _u166))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u170), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u172), c_Com_Ovname_OLoc(_u166)), hAPP(_u168, _u172))), _u159)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u166, _u168, _u170)), _u172), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u174), c_Com_Ovname_OLoc(_u166)), hAPP(hAPP(c_Natural_Ogetlocs, _u172), _u166)))) )).
% 13.06/13.30 cnf(matrix-1012, plain, ( ~hBOOL(hAPP(hAPP(_u190, _u177), _u176)) | ~c_Natural_Oevaln(_u192, _u176, _u188, _u175) | hBOOL(hAPP(hAPP(_u194, _u177), _u175)) | ~c_Hoare__Mirabelle_Otriple__valid(_u186, _u188, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u186), _u190), _u192), _u194)) )).
% 13.06/13.30 cnf(matrix-1013, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u187, _u189, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u187), _u191), _u193), _u195)) | hBOOL(hAPP(hAPP(_u191, skolem8(_u195, _u193, _u191, _u189)), skolem9(_u195, _u193, _u191, _u189))) )).
% 13.06/13.30 cnf(matrix-1014, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u187, _u189, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u187), _u191), _u193), _u195)) | c_Natural_Oevaln(_u193, skolem9(_u195, _u193, _u191, _u189), _u189, skolem10(_u195, _u193, _u191, _u189)) )).
% 13.06/13.30 cnf(matrix-1015, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u187, _u189, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u187), _u191), _u193), _u195)) | ~hBOOL(hAPP(hAPP(_u195, skolem8(_u195, _u193, _u191, _u189)), skolem10(_u195, _u193, _u191, _u189))) )).
% 13.06/13.30 cnf(matrix-1016, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u199)), _u201), _u203)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u199))), _u201), _u203)) )).
% 13.06/13.30 cnf(matrix-1017, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u200))), _u202), _u204)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u200)), _u202), _u204)) )).
% 13.06/13.30 cnf(matrix-1018, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u213, _u215, _u217), _u219, _u221, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u223), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u223), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem11(_u223, _u221, _u219, _u217, _u215, _u213)), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213))) )).
% 13.06/13.30 cnf(matrix-1019, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u213, _u215, _u217), _u219, _u221, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u223), c_Com_Ovname_OLoc(_u213)), hAPP(hAPP(c_Natural_Ogetlocs, _u219), _u213))) | c_Natural_Oevaln(_u217, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u219), c_Com_Ovname_OLoc(_u213)), hAPP(_u215, _u219)), _u221, skolem11(_u223, _u221, _u219, _u217, _u215, _u213)) )).
% 13.06/13.30 cnf(matrix-1020, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u224), c_Com_Ovname_OLoc(_u214)), hAPP(hAPP(c_Natural_Ogetlocs, _u220), _u214)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u206), c_Com_Ovname_OLoc(_u214)), hAPP(hAPP(c_Natural_Ogetlocs, _u220), _u214))) | ~c_Natural_Oevaln(_u218, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u220), c_Com_Ovname_OLoc(_u214)), hAPP(_u216, _u220)), _u222, _u206) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u214, _u216, _u218), _u220, _u222, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u224), c_Com_Ovname_OLoc(_u214)), hAPP(hAPP(c_Natural_Ogetlocs, _u220), _u214))) )).
% 13.06/13.30 cnf(matrix-1021, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u226, _u227, _u228)), _u229), _u230)) | ( _u230 = hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, skolem12(_u230, _u229, _u228, _u227, _u226)), hAPP(c_Natural_Ogetlocs, _u229))), _u226), hAPP(hAPP(c_Natural_Ogetlocs, skolem12(_u230, _u229, _u228, _u227, _u226)), c_Com_ORes))) )).
% 13.06/13.30 cnf(matrix-1022, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCall(_u226, _u227, _u228)), _u229), _u230)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u227)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u229), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), hAPP(_u228, _u229))), skolem12(_u230, _u229, _u228, _u227, _u226))) )).
% 13.06/13.30 cnf(matrix-1023, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u232, _u233, _u234)), _u235), _u236)) | ( _u236 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem13(_u236, _u235, _u234, _u233, _u232)), c_Com_Ovname_OLoc(_u232)), hAPP(hAPP(c_Natural_Ogetlocs, _u235), _u232))) )).
% 13.06/13.30 cnf(matrix-1024, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u232, _u233, _u234)), _u235), _u236)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u234), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u235), c_Com_Ovname_OLoc(_u232)), hAPP(_u233, _u235))), skolem13(_u236, _u235, _u234, _u233, _u232))) )).
% 13.06/13.30 cnf(matrix-1025, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u238, _u239, _u240), _u241, _u242, _u243) | ( _u243 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem14(_u243, _u242, _u241, _u240, _u239, _u238)), c_Com_Ovname_OLoc(_u238)), hAPP(hAPP(c_Natural_Ogetlocs, _u241), _u238))) )).
% 13.06/13.30 cnf(matrix-1026, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u238, _u239, _u240), _u241, _u242, _u243) | c_Natural_Oevaln(_u240, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u241), c_Com_Ovname_OLoc(_u238)), hAPP(_u239, _u241)), _u242, skolem14(_u243, _u242, _u241, _u240, _u239, _u238)) )).
% 13.06/13.30 cnf(matrix-1027, plain, ( ( c_Com_Ocom_OCall(_u244, _u245, _u246) != c_Com_Ocom_OLocal(_u247, _u248, _u249)) )).
% 13.06/13.30 cnf(matrix-1028, plain, ( ( c_Com_Ocom_OLocal(_u250, _u251, _u252) != c_Com_Ocom_OCall(_u253, _u254, _u255)) )).
% 13.06/13.30 cnf(matrix-1029, plain, ( ( c_Com_Ocom_OLocal(_u256, _u257, _u258) != hAPP(c_Com_Ocom_OBODY, _u259)) )).
% 13.06/13.30 cnf(matrix-1030, plain, ( ( c_Com_Ocom_OCall(_u260, _u261, _u262) != hAPP(c_Com_Ocom_OBODY, _u263)) )).
% 13.06/13.30 cnf(matrix-1031, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u264) != c_Com_Ocom_OLocal(_u265, _u266, _u267)) )).
% 13.06/13.30 cnf(matrix-1032, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u268) != c_Com_Ocom_OCall(_u269, _u270, _u271)) )).
% 13.06/13.30 cnf(matrix-1033, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u272, _u273, _u274, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u272), _u275), _u276), _u277)) = hAPP(hAPP(hAPP(_u274, _u275), _u276), _u277)) )).
% 13.06/13.30 cnf(matrix-1034, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u278, _u279, _u280, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u278), _u281), _u282), _u283)) = hAPP(hAPP(hAPP(_u280, _u281), _u282), _u283)) )).
% 13.06/13.30 cnf(matrix-1035, plain, ( ( c_Com_Ocom_OCall(_u290, _u292, _u294) != c_Com_Ocom_OCall(_u296, _u298, _u300)) | ( _u290 = _u296) )).
% 13.06/13.30 cnf(matrix-1036, plain, ( ( c_Com_Ocom_OCall(_u290, _u292, _u294) != c_Com_Ocom_OCall(_u296, _u298, _u300)) | ( _u292 = _u298) )).
% 13.06/13.30 cnf(matrix-1037, plain, ( ( c_Com_Ocom_OCall(_u290, _u292, _u294) != c_Com_Ocom_OCall(_u296, _u298, _u300)) | ( _u294 = _u300) )).
% 13.06/13.30 cnf(matrix-1038, plain, ( ( _u291 != _u297) | ( _u293 != _u299) | ( _u295 != _u301) | ( c_Com_Ocom_OCall(_u291, _u293, _u295) = c_Com_Ocom_OCall(_u297, _u299, _u301)) )).
% 13.06/13.30 cnf(matrix-1039, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u304) != hAPP(c_Com_Ocom_OBODY, _u306)) | ( _u304 = _u306) )).
% 13.06/13.30 cnf(matrix-1040, plain, ( ( _u305 != _u307) | ( hAPP(c_Com_Ocom_OBODY, _u305) = hAPP(c_Com_Ocom_OBODY, _u307)) )).
% 13.06/13.30 cnf(matrix-1041, plain, ( ( c_Com_Ovname_OLoc(_u310) != c_Com_Ovname_OLoc(_u312)) | ( _u310 = _u312) )).
% 13.06/13.30 cnf(matrix-1042, plain, ( ( _u311 != _u313) | ( c_Com_Ovname_OLoc(_u311) = c_Com_Ovname_OLoc(_u313)) )).
% 13.06/13.30 cnf(matrix-1043, plain, ( ( c_Com_Ocom_OLocal(_u320, _u322, _u324) != c_Com_Ocom_OLocal(_u326, _u328, _u330)) | ( _u320 = _u326) )).
% 13.06/13.30 cnf(matrix-1044, plain, ( ( c_Com_Ocom_OLocal(_u320, _u322, _u324) != c_Com_Ocom_OLocal(_u326, _u328, _u330)) | ( _u322 = _u328) )).
% 13.06/13.30 cnf(matrix-1045, plain, ( ( c_Com_Ocom_OLocal(_u320, _u322, _u324) != c_Com_Ocom_OLocal(_u326, _u328, _u330)) | ( _u324 = _u330) )).
% 13.06/13.30 cnf(matrix-1046, plain, ( ( _u321 != _u327) | ( _u323 != _u329) | ( _u325 != _u331) | ( c_Com_Ocom_OLocal(_u321, _u323, _u325) = c_Com_Ocom_OLocal(_u327, _u329, _u331)) )).
% 13.06/13.30 cnf(matrix-1047, plain, ( ( c_Com_Ovname_Ovname__rec(_u332, _u333, _u334, c_Com_Ovname_OLoc(_u335)) = hAPP(_u334, _u335)) )).
% 13.06/13.30 cnf(matrix-1048, plain, ( ( c_Com_Ovname_Ovname__case(_u336, _u337, _u338, c_Com_Ovname_OLoc(_u339)) = hAPP(_u338, _u339)) )).
% 13.06/13.30 cnf(matrix-1049, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u340, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u340), _u341), hAPP(c_Com_Ocom_OBODY, _u342)), _u343)) )).
% 13.06/13.30 cnf(matrix-1050, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u344, _u345)), _u346), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u346), _u344), hAPP(_u345, _u346)))) )).
% 13.06/13.30 cnf(matrix-1051, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u347, _u348)), _u349), _u350)) | ( _u350 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u349), _u347), hAPP(_u348, _u349))) )).
% 13.06/13.30 cnf(matrix-1052, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u351, _u352), _u353, _u354, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u353), _u351), hAPP(_u352, _u353))) )).
% 13.06/13.30 cnf(matrix-1053, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u355, _u356), _u357, _u358, _u359) | ( _u359 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u357), _u355), hAPP(_u356, _u357))) )).
% 13.06/13.30 cnf(matrix-1054, plain, ( ( _u360 != hAPP(c_Nat_OSuc, _u360)) )).
% 13.06/13.30 cnf(matrix-1055, plain, ( ( hAPP(c_Nat_OSuc, _u361) != _u361) )).
% 13.06/13.30 cnf(matrix-1056, plain, ( ( hAPP(c_Nat_OSuc, _u364) != hAPP(c_Nat_OSuc, _u366)) | ( _u364 = _u366) )).
% 13.06/13.30 cnf(matrix-1057, plain, ( ( _u365 != _u367) | ( hAPP(c_Nat_OSuc, _u365) = hAPP(c_Nat_OSuc, _u367)) )).
% 13.06/13.30 cnf(matrix-1058, plain, ( ( hAPP(c_Nat_OSuc, _u368) != hAPP(c_Nat_OSuc, _u369)) | ( _u368 = _u369) )).
% 13.06/13.30 cnf(matrix-1059, plain, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u371))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u370, _u371, _u372))) )).
% 13.06/13.30 cnf(matrix-1060, plain, ( hBOOL(hAPP(c_Com_OWT, _u375)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u373, _u374, _u375))) )).
% 13.06/13.30 cnf(matrix-1061, plain, ( ( c_Com_Ocom_OAss(_u380, _u382) != c_Com_Ocom_OAss(_u384, _u386)) | ( _u380 = _u384) )).
% 13.06/13.30 cnf(matrix-1062, plain, ( ( c_Com_Ocom_OAss(_u380, _u382) != c_Com_Ocom_OAss(_u384, _u386)) | ( _u382 = _u386) )).
% 13.06/13.30 cnf(matrix-1063, plain, ( ( _u381 != _u385) | ( _u383 != _u387) | ( c_Com_Ocom_OAss(_u381, _u383) = c_Com_Ocom_OAss(_u385, _u387)) )).
% 13.06/13.30 cnf(matrix-1064, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u388, _u389))) )).
% 13.06/13.30 cnf(matrix-1065, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OAss(_u390, _u391))) )).
% 13.06/13.30 cnf(matrix-1066, plain, ( ( hAPP(c_Nat_OSuc, _u392) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1067, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u393)) )).
% 13.06/13.30 cnf(matrix-1068, plain, ( ( hAPP(c_Nat_OSuc, _u394) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1069, plain, ( ( hAPP(c_Nat_OSuc, _u395) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1070, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u396)) )).
% 13.06/13.30 cnf(matrix-1071, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u397)) )).
% 13.06/13.30 cnf(matrix-1072, plain, ( hBOOL(hAPP(c_Com_OWT, _u405)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u401, _u403, _u405))) )).
% 13.06/13.30 cnf(matrix-1073, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u406)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u402, _u404, _u406))) )).
% 13.06/13.30 cnf(matrix-1074, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u407)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OLocal(_u408, _u409, _u407))) )).
% 13.06/13.30 cnf(matrix-1075, plain, ( ( c_Com_Ocom_OAss(_u410, _u411) != hAPP(c_Com_Ocom_OBODY, _u412)) )).
% 13.06/13.30 cnf(matrix-1076, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u413) != c_Com_Ocom_OAss(_u414, _u415)) )).
% 13.06/13.30 cnf(matrix-1077, plain, ( ( c_Com_Ocom_OAss(_u416, _u417) != c_Com_Ocom_OCall(_u418, _u419, _u420)) )).
% 13.06/13.30 cnf(matrix-1078, plain, ( ( c_Com_Ocom_OAss(_u421, _u422) != c_Com_Ocom_OLocal(_u423, _u424, _u425)) )).
% 13.06/13.30 cnf(matrix-1079, plain, ( ( c_Com_Ocom_OCall(_u426, _u427, _u428) != c_Com_Ocom_OAss(_u429, _u430)) )).
% 13.06/13.30 cnf(matrix-1080, plain, ( ( c_Com_Ocom_OLocal(_u431, _u432, _u433) != c_Com_Ocom_OAss(_u434, _u435)) )).
% 13.06/13.30 cnf(matrix-1081, plain, ( hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u441))) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u439, _u441, _u443))) )).
% 13.06/13.30 cnf(matrix-1082, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u442))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u440, _u442, _u444))) )).
% 13.06/13.30 cnf(matrix-1083, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u445))) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCall(_u446, _u445, _u447))) )).
% 13.06/13.30 cnf(matrix-1084, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u448, _u449), _u450, _u451, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u450), _u448), hAPP(_u449, _u450))) )).
% 13.06/13.30 cnf(matrix-1085, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u452, _u453)), _u454), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u454), _u452), hAPP(_u453, _u454)))) )).
% 13.06/13.30 cnf(matrix-1086, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u455, _u456, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u455), _u457), _u458), _u459)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1087, plain, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(_u460)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1088, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u461)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u461), _u462), _u463), _u464)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1089, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OLoc(_u465)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1090, plain, ( ( c_Com_Ovname_Ovname__case(_u466, _u467, _u468, c_Com_Ovname_OGlb(_u469)) = hAPP(_u467, _u469)) )).
% 13.06/13.30 cnf(matrix-1091, plain, ( ( c_Com_Ovname_Ovname__rec(_u470, _u471, _u472, c_Com_Ovname_OGlb(_u473)) = hAPP(_u471, _u473)) )).
% 13.06/13.30 cnf(matrix-1092, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u474, _u475, _u476)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1093, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u477, _u478)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1094, plain, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u479)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1095, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u480, _u481, _u482)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1096, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u483, _u484)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1097, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u485)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1098, plain, ( ( c_Com_Ovname_OGlb(_u488) != c_Com_Ovname_OGlb(_u490)) | ( _u488 = _u490) )).
% 13.06/13.30 cnf(matrix-1099, plain, ( ( _u489 != _u491) | ( c_Com_Ovname_OGlb(_u489) = c_Com_Ovname_OGlb(_u491)) )).
% 13.06/13.30 cnf(matrix-1100, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OGlb(_u492)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1101, plain, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(_u493)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1102, plain, ( ( c_Com_Ovname_OGlb(_u494) != c_Com_Ovname_OLoc(_u495)) )).
% 13.06/13.30 cnf(matrix-1103, plain, ( ( c_Com_Ovname_OLoc(_u496) != c_Com_Ovname_OGlb(_u497)) )).
% 13.06/13.30 cnf(matrix-1104, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u498, _u499, _u500)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u500)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1105, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u501, _u502, _u503)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u503)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1106, plain, ( ( hAPP(c_Com_Obody, _u504) = c_Option_Ooption_ONone(tc_Com_Ocom)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u504))) )).
% 13.06/13.30 cnf(matrix-1107, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u508))) | ( hAPP(c_Com_Obody, _u508) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem15(_u508))) )).
% 13.06/13.30 cnf(matrix-1108, plain, ( ( hAPP(c_Com_Obody, _u509) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u506)) | hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u509))) )).
% 13.06/13.30 cnf(matrix-1109, plain, ( ~class_Groups_Ozero(_u510) | ( c_Groups_Ozero__class_Ozero(_u510) != _u511) | ( _u511 = c_Groups_Ozero__class_Ozero(_u510)) )).
% 13.06/13.30 cnf(matrix-1110, plain, ( ~class_Groups_Ozero(_u510) | ( _u511 != c_Groups_Ozero__class_Ozero(_u510)) | ( c_Groups_Ozero__class_Ozero(_u510) = _u511) )).
% 13.06/13.30 cnf(matrix-1111, plain, ( ~class_Rings_Osemiring__1(_u512) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u512, _u513, hAPP(c_Nat_OSuc, _u514), _u515) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u512, _u513, _u514, hAPP(_u513, _u515))) )).
% 13.06/13.30 cnf(matrix-1112, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1113, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1114, plain, ( ~class_Rings_Osemiring__1(_u516) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u516, _u517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u518) = _u518) )).
% 13.06/13.30 cnf(matrix-1115, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u520), _u521), _u522)) | c_Natural_Oevaln(_u520, _u521, skolem16(_u522, _u521, _u520), _u522) )).
% 13.06/13.30 cnf(matrix-1116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u523))) )).
% 13.06/13.30 cnf(matrix-1117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u524), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u525), _u526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u525)), hAPP(c_Nat_OSuc, _u526))) )).
% 13.06/13.30 cnf(matrix-1119, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u527), hAPP(c_Nat_OSuc, _u527))) )).
% 13.06/13.30 cnf(matrix-1120, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u528, _u529, _u530) | ( _u530 = _u528) )).
% 13.06/13.30 cnf(matrix-1121, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u531, _u532, _u531) )).
% 13.06/13.30 cnf(matrix-1122, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u533), _u533)) )).
% 13.06/13.30 cnf(matrix-1123, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u534), _u535)) | ( _u535 = _u534) )).
% 13.06/13.30 cnf(matrix-1124, plain, ( ~class_Groups_Oab__semigroup__add(_u536) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), _u537), _u538)), _u539) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), _u537), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u536), _u538), _u539))) )).
% 13.06/13.30 cnf(matrix-1125, plain, ( ~class_Groups_Ocancel__semigroup__add(_u540) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u542) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u543)) | ( _u542 = _u543) )).
% 13.06/13.30 cnf(matrix-1126, plain, ( ~class_Groups_Ocancel__semigroup__add(_u540) | ( _u542 != _u543) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u542) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u540), _u541), _u543)) )).
% 13.06/13.30 cnf(matrix-1127, plain, ( ~class_Groups_Ocancel__semigroup__add(_u544) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u545), _u546) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u547), _u546)) | ( _u545 = _u547) )).
% 13.06/13.30 cnf(matrix-1128, plain, ( ~class_Groups_Ocancel__semigroup__add(_u544) | ( _u545 != _u547) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u545), _u546) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u544), _u547), _u546)) )).
% 13.06/13.30 cnf(matrix-1129, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u549), _u550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u551), _u550))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u549), _u551)) )).
% 13.06/13.30 cnf(matrix-1130, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u549), _u551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u549), _u550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u548), _u551), _u550))) )).
% 13.06/13.30 cnf(matrix-1131, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u554)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u555))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), _u554), _u555)) )).
% 13.06/13.30 cnf(matrix-1132, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), _u554), _u555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u552), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u554)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u552), _u553), _u555))) )).
% 13.06/13.30 cnf(matrix-1133, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u556), _u557), _u558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u556), _u557), _u559)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u556), _u558), _u559))) )).
% 13.06/13.30 cnf(matrix-1134, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), _u561), _u562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u560), _u563), _u561)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u560), _u563), _u562))) )).
% 13.06/13.30 cnf(matrix-1135, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u564), _u565), _u566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u564), _u567), _u568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u564), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u564), _u565), _u567)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u564), _u566), _u568))) )).
% 13.06/13.30 cnf(matrix-1136, plain, ( ~class_Groups_Ocancel__semigroup__add(_u569) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u569), _u570), _u571) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u569), _u570), _u572)) | ( _u571 = _u572) )).
% 13.06/13.30 cnf(matrix-1137, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u573) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u573), _u574), _u575) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u573), _u574), _u576)) | ( _u575 = _u576) )).
% 13.06/13.30 cnf(matrix-1138, plain, ( ~class_Groups_Ocancel__semigroup__add(_u577) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u577), _u578), _u579) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u577), _u580), _u579)) | ( _u578 = _u580) )).
% 13.06/13.30 cnf(matrix-1139, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u581), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u581), _u582), _u583)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u581), _u584), _u583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u581), _u582), _u584)) )).
% 13.06/13.30 cnf(matrix-1140, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u585), _u586), _u587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u585), _u586), _u588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u585), _u587), _u588)) )).
% 13.06/13.30 cnf(matrix-1141, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u589), _u590)) | ( _u589 = _u590) | hBOOL(hAPP(hAPP(_u591, _u590), _u589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u590), _u589)) )).
% 13.06/13.30 cnf(matrix-1142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u592), _u593)), _u594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u592), _u594)) )).
% 13.06/13.30 cnf(matrix-1143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u595), _u596)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u597), _u596) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u595), _u598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u597), _u598)) )).
% 13.06/13.30 cnf(matrix-1144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u599), _u600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u601), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u599), _u601)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u600), _u602))) )).
% 13.06/13.30 cnf(matrix-1145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u603), _u604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u603), _u605)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u604), _u605))) )).
% 13.06/13.30 cnf(matrix-1146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u606), _u607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u606), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u608), _u607))) )).
% 13.06/13.30 cnf(matrix-1147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u609), _u610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u609), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u610), _u611))) )).
% 13.06/13.30 cnf(matrix-1148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u612), _u613)) | ( _u612 != _u613) )).
% 13.06/13.30 cnf(matrix-1149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u614), _u615)) | ( _u615 != _u614) )).
% 13.06/13.30 cnf(matrix-1150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u616), _u616)) )).
% 13.06/13.30 cnf(matrix-1151, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u617), _u618), c_Groups_Ozero__class_Ozero(_u617))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u617), _u619), c_Groups_Ozero__class_Ozero(_u617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u617), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u617), _u618), _u619)), c_Groups_Ozero__class_Ozero(_u617))) )).
% 13.06/13.30 cnf(matrix-1152, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u620), c_Groups_Ozero__class_Ozero(_u620)), _u621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u620), c_Groups_Ozero__class_Ozero(_u620)), _u622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u620), c_Groups_Ozero__class_Ozero(_u620)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u620), _u621), _u622))) )).
% 13.06/13.30 cnf(matrix-1153, plain, ( ( _u623 = _u624) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u623), _u624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u624), _u623)) )).
% 13.06/13.30 cnf(matrix-1154, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u630), _u632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u628), _u630)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u628), _u632))) )).
% 13.06/13.30 cnf(matrix-1155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u631), _u633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u629), _u631)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u629), _u633))) )).
% 13.06/13.30 cnf(matrix-1156, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u637), _u639) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u641), _u639)) | ( _u637 = _u641) )).
% 13.06/13.30 cnf(matrix-1157, plain, ( ( _u638 != _u642) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u638), _u640) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u642), _u640)) )).
% 13.06/13.30 cnf(matrix-1158, plain, ( ( _u648 = _u650) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u646), _u648) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u646), _u650)) )).
% 13.06/13.30 cnf(matrix-1159, plain, ( ( _u649 != _u651) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u647), _u649) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u647), _u651)) )).
% 13.06/13.30 cnf(matrix-1160, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u652), _u653)), _u654) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u652), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u653), _u654))) )).
% 13.06/13.30 cnf(matrix-1161, plain, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656)), c_Groups_Ozero__class_Ozero(_u655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), _u656), c_Groups_Ozero__class_Ozero(_u655))) )).
% 13.06/13.30 cnf(matrix-1162, plain, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), _u656), c_Groups_Ozero__class_Ozero(_u655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656)), c_Groups_Ozero__class_Ozero(_u655))) )).
% 13.06/13.30 cnf(matrix-1163, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u658), _u659)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u658), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u657), _u659))) )).
% 13.06/13.30 cnf(matrix-1164, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u660), _u661) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u661), _u660)) )).
% 13.06/13.30 cnf(matrix-1165, plain, ( ~class_Groups_Olinordered__ab__group__add(_u662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u662), _u663), _u663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), _u663)) )).
% 13.06/13.30 cnf(matrix-1166, plain, ( ~class_Groups_Olinordered__ab__group__add(_u662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), _u663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u662), c_Groups_Ozero__class_Ozero(_u662)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u662), _u663), _u663))) )).
% 13.06/13.30 cnf(matrix-1167, plain, ( ( _u666 = _u668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u666), _u668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u668), _u666)) )).
% 13.06/13.30 cnf(matrix-1168, plain, ( ( _u667 != _u669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u667), _u669)) )).
% 13.06/13.30 cnf(matrix-1169, plain, ( ( _u667 != _u669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u669), _u667)) )).
% 13.06/13.30 cnf(matrix-1170, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u670), _u671)), _u671)) )).
% 13.06/13.30 cnf(matrix-1171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u672), _u673)), _u672)) )).
% 13.06/13.30 cnf(matrix-1172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u674), _u674)) )).
% 13.06/13.30 cnf(matrix-1173, 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), _u677), _u679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u679)) )).
% 13.06/13.30 cnf(matrix-1174, 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), _u678), _u680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u678)) )).
% 13.06/13.30 cnf(matrix-1175, 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), _u678), _u680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u680)) )).
% 13.06/13.30 cnf(matrix-1176, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u681), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u681), _u682)))) )).
% 13.06/13.30 cnf(matrix-1177, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u683), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u684), _u683)))) )).
% 13.06/13.30 cnf(matrix-1178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u689), _u691)) | ( _u691 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u689), skolem17(_u691, _u689)))) )).
% 13.06/13.30 cnf(matrix-1179, plain, ( ( _u692 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u690), _u686))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u690), _u692)) )).
% 13.06/13.30 cnf(matrix-1180, plain, ( ~class_Groups_Omonoid__add(_u693) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u693), c_Groups_Ozero__class_Ozero(_u693)), _u694) = _u694) )).
% 13.06/13.30 cnf(matrix-1181, plain, ( ~class_Groups_Ocomm__monoid__add(_u695) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u695), c_Groups_Ozero__class_Ozero(_u695)), _u696) = _u696) )).
% 13.06/13.30 cnf(matrix-1182, plain, ( ~class_Groups_Olinordered__ab__group__add(_u697) | ( c_Groups_Ozero__class_Ozero(_u697) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u697), _u698), _u698)) | ( _u698 = c_Groups_Ozero__class_Ozero(_u697)) )).
% 13.06/13.30 cnf(matrix-1183, plain, ( ~class_Groups_Olinordered__ab__group__add(_u697) | ( _u698 != c_Groups_Ozero__class_Ozero(_u697)) | ( c_Groups_Ozero__class_Ozero(_u697) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u697), _u698), _u698)) )).
% 13.06/13.30 cnf(matrix-1184, plain, ( ~class_Groups_Omonoid__add(_u699) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u699), _u700), c_Groups_Ozero__class_Ozero(_u699)) = _u700) )).
% 13.06/13.30 cnf(matrix-1185, plain, ( ~class_Groups_Ocomm__monoid__add(_u701) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u701), _u702), c_Groups_Ozero__class_Ozero(_u701)) = _u702) )).
% 13.06/13.30 cnf(matrix-1186, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u703) = _u703) )).
% 13.06/13.30 cnf(matrix-1187, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u704), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u704) )).
% 13.06/13.30 cnf(matrix-1188, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u707), _u709) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1189, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u707), _u709) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u709 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1190, plain, ( ( _u708 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u710 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u708), _u710) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1191, plain, ( ( _u712 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u711), _u712) != _u711) )).
% 13.06/13.30 cnf(matrix-1192, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u713)), _u714) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u713), hAPP(c_Nat_OSuc, _u714))) )).
% 13.06/13.30 cnf(matrix-1193, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u715)), _u716) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u715), _u716))) )).
% 13.06/13.30 cnf(matrix-1194, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u717), hAPP(c_Nat_OSuc, _u718)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u717), _u718))) )).
% 13.06/13.30 cnf(matrix-1195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u719), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1196, plain, ( ( _u721 = 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)), _u721)) )).
% 13.06/13.30 cnf(matrix-1197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u722)) | ( _u722 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u723), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1199, plain, ( ( _u725 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u724), _u725)) )).
% 13.06/13.30 cnf(matrix-1200, plain, ( ( _u726 = 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)), _u726)) )).
% 13.06/13.30 cnf(matrix-1201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u727)), hAPP(c_Nat_OSuc, _u728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), _u728)) )).
% 13.06/13.30 cnf(matrix-1202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u729)), _u730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u729), _u730)) )).
% 13.06/13.30 cnf(matrix-1203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), hAPP(c_Nat_OSuc, _u732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), _u732)) | ( _u731 = _u732) )).
% 13.06/13.30 cnf(matrix-1204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u733), _u734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u734), _u735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u733)), _u735)) )).
% 13.06/13.30 cnf(matrix-1205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u736), _u737)) | ( hAPP(c_Nat_OSuc, _u736) = _u737) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u736)), _u737)) )).
% 13.06/13.30 cnf(matrix-1206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), _u739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), hAPP(c_Nat_OSuc, _u739))) )).
% 13.06/13.30 cnf(matrix-1207, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u740), _u741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u740), hAPP(c_Nat_OSuc, _u741))) | ( _u741 = _u740) )).
% 13.06/13.30 cnf(matrix-1208, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), _u743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), hAPP(c_Nat_OSuc, _u743))) | ( _u742 = _u743) )).
% 13.06/13.30 cnf(matrix-1209, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), _u743)) | ( _u742 != _u743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), hAPP(c_Nat_OSuc, _u743))) )).
% 13.06/13.30 cnf(matrix-1210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u746)), hAPP(c_Nat_OSuc, _u748))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u746), _u748)) )).
% 13.06/13.30 cnf(matrix-1211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u747)), hAPP(c_Nat_OSuc, _u749))) )).
% 13.06/13.30 cnf(matrix-1212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u752), hAPP(c_Nat_OSuc, _u754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u752), _u754)) | ( _u752 = _u754) )).
% 13.06/13.30 cnf(matrix-1213, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u753), hAPP(c_Nat_OSuc, _u755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u753), _u755)) )).
% 13.06/13.30 cnf(matrix-1214, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u753), hAPP(c_Nat_OSuc, _u755))) | ( _u753 != _u755) )).
% 13.06/13.30 cnf(matrix-1215, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u758), _u760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u760), hAPP(c_Nat_OSuc, _u758))) )).
% 13.06/13.30 cnf(matrix-1216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u761), hAPP(c_Nat_OSuc, _u759))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u759), _u761)) )).
% 13.06/13.30 cnf(matrix-1217, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u762, _u763, _u762) )).
% 13.06/13.30 cnf(matrix-1218, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u764), _u764)) )).
% 13.06/13.30 cnf(matrix-1219, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 13.06/13.30 cnf(matrix-1220, plain, ( hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSKIP)) )).
% 13.06/13.30 cnf(matrix-1221, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u765) != c_Com_Ocom_OSKIP) )).
% 13.06/13.30 cnf(matrix-1222, plain, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u766)) )).
% 13.06/13.30 cnf(matrix-1223, plain, ( ( c_Com_Ocom_OAss(_u767, _u768) != c_Com_Ocom_OSKIP) )).
% 13.06/13.30 cnf(matrix-1224, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u769, _u770)) )).
% 13.06/13.30 cnf(matrix-1225, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u771, _u772, _u773)) )).
% 13.06/13.30 cnf(matrix-1226, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u774, _u775, _u776)) )).
% 13.06/13.30 cnf(matrix-1227, plain, ( ( c_Com_Ocom_OCall(_u777, _u778, _u779) != c_Com_Ocom_OSKIP) )).
% 13.06/13.30 cnf(matrix-1228, plain, ( ( c_Com_Ocom_OLocal(_u780, _u781, _u782) != c_Com_Ocom_OSKIP) )).
% 13.06/13.30 cnf(matrix-1229, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u785), _u787)) | ( _u785 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u785 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1230, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u785), _u787)) | ( _u785 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u787 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1231, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u785), _u787)) | ( _u787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u785 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1232, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u785), _u787)) | ( _u787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u787 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1233, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u786), _u788)) | ( _u786 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1234, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u786), _u788)) | ( _u786 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u788 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1235, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1236, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u793 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1237, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u793 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1238, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u791), _u793) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u793 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u793 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1239, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u792), _u794) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u792 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u794 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1240, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u792), _u794) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u792 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u794 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u798)) | ( _u798 = hAPP(c_Nat_OSuc, skolem18(_u798))) )).
% 13.06/13.30 cnf(matrix-1242, plain, ( ( _u799 != hAPP(c_Nat_OSuc, _u796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u799)) )).
% 13.06/13.30 cnf(matrix-1243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u801), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u801 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1244, plain, ( ( _u802 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u802), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u807), hAPP(c_Nat_OSuc, _u809))) | ( _u807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u807 = hAPP(c_Nat_OSuc, skolem19(_u809, _u807))) )).
% 13.06/13.30 cnf(matrix-1246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u807), hAPP(c_Nat_OSuc, _u809))) | ( _u807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem19(_u809, _u807)), _u809)) )).
% 13.06/13.30 cnf(matrix-1247, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u808), hAPP(c_Nat_OSuc, _u810))) | ( _u808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1248, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u808), hAPP(c_Nat_OSuc, _u810))) | ( _u808 != hAPP(c_Nat_OSuc, _u804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u804), _u810)) )).
% 13.06/13.30 cnf(matrix-1249, plain, ( ~c_Com_OWT__bodies | hBOOL(hAPP(c_Com_OWT, _u812)) | ( hAPP(c_Com_Obody, _u811) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _u812)) )).
% 13.06/13.30 cnf(matrix-1250, plain, ( ~class_Rings_Olinordered__semidom(_u813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u813), c_Groups_Ozero__class_Ozero(_u813)), _u814)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u813), _u815), _u816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u813), _u815), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u813), _u814), _u816))) )).
% 13.06/13.30 cnf(matrix-1251, plain, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) )).
% 13.06/13.30 cnf(matrix-1252, plain, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) )).
% 13.06/13.30 cnf(matrix-1253, plain, ( ~hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _u820))) | ( hAPP(c_Com_Obody, _u820) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), skolem20(_u820))) )).
% 13.06/13.30 cnf(matrix-1254, plain, ( ( hAPP(c_Option_Othe(_u821), hAPP(c_Option_Ooption_OSome(_u821), _u822)) = _u822) )).
% 13.06/13.30 cnf(matrix-1255, plain, ( ( c_Option_Ooption_ONone(_u823) != hAPP(c_Option_Ooption_OSome(_u823), _u824)) )).
% 13.06/13.30 cnf(matrix-1256, plain, ( ( hAPP(c_Option_Ooption_OSome(_u825), _u826) != c_Option_Ooption_ONone(_u825)) )).
% 13.06/13.30 cnf(matrix-1257, plain, ( ( _u831 = hAPP(c_Option_Ooption_OSome(_u833), skolem21(_u833, _u831))) | ( _u831 = c_Option_Ooption_ONone(_u833)) )).
% 13.06/13.30 cnf(matrix-1258, plain, ( ( _u832 != c_Option_Ooption_ONone(_u834)) | ( _u832 != hAPP(c_Option_Ooption_OSome(_u834), _u828)) )).
% 13.06/13.30 cnf(matrix-1259, plain, ( ( _u839 = c_Option_Ooption_ONone(_u841)) | ( _u839 = hAPP(c_Option_Ooption_OSome(_u841), skolem22(_u841, _u839))) )).
% 13.06/13.30 cnf(matrix-1260, plain, ( ( _u840 != hAPP(c_Option_Ooption_OSome(_u842), _u836)) | ( _u840 != c_Option_Ooption_ONone(_u842)) )).
% 13.06/13.30 cnf(matrix-1261, plain, ( ( c_Option_Ooption_Ooption__size(_u843, _u844, hAPP(c_Option_Ooption_OSome(_u843), _u845)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u844, _u845)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u846), _u847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u847), _u848))) )).
% 13.06/13.30 cnf(matrix-1263, plain, ( ~class_Rings_Olinordered__idom(_u849) | ( _u850 = _u851) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u849), _u850), _u851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u849), _u851), _u850)) )).
% 13.06/13.30 cnf(matrix-1264, plain, ( ( c_Option_Ooption_Ooption__size(_u852, _u853, c_Option_Ooption_ONone(_u852)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1265, plain, ( ( _u859 = _u861) | ( hAPP(c_Option_Ooption_OSome(_u857), _u859) != hAPP(c_Option_Ooption_OSome(_u857), _u861)) )).
% 13.06/13.30 cnf(matrix-1266, plain, ( ( _u860 != _u862) | ( hAPP(c_Option_Ooption_OSome(_u858), _u860) = hAPP(c_Option_Ooption_OSome(_u858), _u862)) )).
% 13.06/13.30 cnf(matrix-1267, plain, ( ~class_Groups_Olinordered__ab__group__add(_u863) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u863), _u864), _u864) != c_Groups_Ozero__class_Ozero(_u863)) | ( _u864 = c_Groups_Ozero__class_Ozero(_u863)) )).
% 13.06/13.30 cnf(matrix-1268, plain, ( ~class_Groups_Olinordered__ab__group__add(_u863) | ( _u864 != c_Groups_Ozero__class_Ozero(_u863)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u863), _u864), _u864) = c_Groups_Ozero__class_Ozero(_u863)) )).
% 13.06/13.30 cnf(matrix-1269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u865), _u866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u867), _u866))) )).
% 13.06/13.30 cnf(matrix-1270, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u868)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u868)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1271, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u869)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u869)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1272, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u870)), hAPP(c_Option_Ooption_OSome(_u870), _u871)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1273, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u872)), c_Option_Ooption_ONone(_u872)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1274, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u873) | ( _u874 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u873), _u874), _u875)) | ( _u875 = c_Groups_Ozero__class_Ozero(_u873)) )).
% 13.06/13.30 cnf(matrix-1275, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u873) | ( _u875 != c_Groups_Ozero__class_Ozero(_u873)) | ( _u874 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u873), _u874), _u875)) )).
% 13.06/13.30 cnf(matrix-1276, plain, ( ~class_Rings_Ocomm__semiring__1(_u876) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u876), _u877), c_Groups_Ozero__class_Ozero(_u876)) = _u877) )).
% 13.06/13.30 cnf(matrix-1277, plain, ( ~class_Rings_Ocomm__semiring__1(_u878) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u878), c_Groups_Ozero__class_Ozero(_u878)), _u879) = _u879) )).
% 13.06/13.30 cnf(matrix-1278, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u880, _u881)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u880)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u881))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1279, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u882, _u883)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u882)), c_Com_Ocom_Ocom__size(_u883))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1280, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u884, _u885, _u886)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u885)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u886))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1281, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u887, _u888, _u889)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u888)), c_Com_Ocom_Ocom__size(_u889))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1282, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u890, _u891, _u892), _u893, _u894, _u895) | hBOOL(hAPP(_u890, _u893)) | c_Natural_Oevaln(_u892, _u893, _u894, _u895) )).
% 13.06/13.30 cnf(matrix-1283, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u890, _u891, _u892), _u893, _u894, _u895) | c_Natural_Oevaln(_u891, _u893, _u894, _u895) | ~hBOOL(hAPP(_u890, _u893)) )).
% 13.06/13.30 cnf(matrix-1284, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u890, _u891, _u892), _u893, _u894, _u895) | c_Natural_Oevaln(_u891, _u893, _u894, _u895) | c_Natural_Oevaln(_u892, _u893, _u894, _u895) )).
% 13.06/13.30 cnf(matrix-1285, plain, ( ~hBOOL(hAPP(_u896, _u897)) | ~c_Natural_Oevaln(_u898, _u897, _u899, _u900) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u896, _u898, _u901), _u897, _u899, _u900) )).
% 13.06/13.30 cnf(matrix-1286, plain, ( hBOOL(hAPP(_u902, _u903)) | ~c_Natural_Oevaln(_u904, _u903, _u905, _u906) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u902, _u907, _u904), _u903, _u905, _u906) )).
% 13.06/13.30 cnf(matrix-1287, plain, ( hBOOL(hAPP(_u908, _u909)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u910), _u909), _u911)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u908, _u912, _u910)), _u909), _u911)) )).
% 13.06/13.30 cnf(matrix-1288, plain, ( ~hBOOL(hAPP(_u913, _u914)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u915), _u914), _u916)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u913, _u915, _u917)), _u914), _u916)) )).
% 13.06/13.30 cnf(matrix-1289, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u918, _u919, _u920)), _u921), _u922)) | hBOOL(hAPP(_u918, _u921)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u920), _u921), _u922)) )).
% 13.06/13.30 cnf(matrix-1290, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u918, _u919, _u920)), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u919), _u921), _u922)) | ~hBOOL(hAPP(_u918, _u921)) )).
% 13.06/13.30 cnf(matrix-1291, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u918, _u919, _u920)), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u919), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u920), _u921), _u922)) )).
% 13.06/13.30 cnf(matrix-1292, plain, ( ~c_Natural_Oevaln(_u923, _u924, _u925, _u926) | ~c_Natural_Oevaln(_u927, _u926, _u925, _u928) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u923, _u927), _u924, _u925, _u928) )).
% 13.06/13.30 cnf(matrix-1293, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u929), _u930), _u931)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u932), _u931), _u933)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u929, _u932)), _u930), _u933)) )).
% 13.06/13.30 cnf(matrix-1294, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u934, _u935, _u936))) | hBOOL(hAPP(c_Com_OWT, _u935)) )).
% 13.06/13.30 cnf(matrix-1295, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u934, _u935, _u936))) | hBOOL(hAPP(c_Com_OWT, _u936)) )).
% 13.06/13.30 cnf(matrix-1296, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u937, _u938))) | hBOOL(hAPP(c_Com_OWT, _u937)) )).
% 13.06/13.30 cnf(matrix-1297, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u937, _u938))) | hBOOL(hAPP(c_Com_OWT, _u938)) )).
% 13.06/13.30 cnf(matrix-1298, plain, ( ( c_Com_Ocom_OCond(_u945, _u947, _u949) != c_Com_Ocom_OCond(_u951, _u953, _u955)) | ( _u945 = _u951) )).
% 13.06/13.30 cnf(matrix-1299, plain, ( ( c_Com_Ocom_OCond(_u945, _u947, _u949) != c_Com_Ocom_OCond(_u951, _u953, _u955)) | ( _u947 = _u953) )).
% 13.06/13.30 cnf(matrix-1300, plain, ( ( c_Com_Ocom_OCond(_u945, _u947, _u949) != c_Com_Ocom_OCond(_u951, _u953, _u955)) | ( _u949 = _u955) )).
% 13.06/13.30 cnf(matrix-1301, plain, ( ( _u946 != _u952) | ( _u948 != _u954) | ( _u950 != _u956) | ( c_Com_Ocom_OCond(_u946, _u948, _u950) = c_Com_Ocom_OCond(_u952, _u954, _u956)) )).
% 13.06/13.30 cnf(matrix-1302, plain, ( ( c_Com_Ocom_OSemi(_u961, _u963) != c_Com_Ocom_OSemi(_u965, _u967)) | ( _u961 = _u965) )).
% 13.06/13.30 cnf(matrix-1303, plain, ( ( c_Com_Ocom_OSemi(_u961, _u963) != c_Com_Ocom_OSemi(_u965, _u967)) | ( _u963 = _u967) )).
% 13.06/13.30 cnf(matrix-1304, plain, ( ( _u962 != _u966) | ( _u964 != _u968) | ( c_Com_Ocom_OSemi(_u962, _u964) = c_Com_Ocom_OSemi(_u966, _u968)) )).
% 13.06/13.30 cnf(matrix-1305, plain, ( ( c_Com_Ocom_OCond(_u969, _u970, _u971) != c_Com_Ocom_OSemi(_u972, _u973)) )).
% 13.06/13.30 cnf(matrix-1306, plain, ( ( c_Com_Ocom_OSemi(_u974, _u975) != c_Com_Ocom_OCond(_u976, _u977, _u978)) )).
% 13.06/13.30 cnf(matrix-1307, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u979) = _u979) )).
% 13.06/13.30 cnf(matrix-1308, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u986, _u988, _u990), _u992, _u994, _u996) | hBOOL(hAPP(_u986, _u992)) | c_Natural_Oevaln(_u990, _u992, _u994, _u996) )).
% 13.06/13.30 cnf(matrix-1309, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u986, _u988, _u990), _u992, _u994, _u996) | c_Natural_Oevaln(_u988, _u992, _u994, _u996) | ~hBOOL(hAPP(_u986, _u992)) )).
% 13.06/13.30 cnf(matrix-1310, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u986, _u988, _u990), _u992, _u994, _u996) | c_Natural_Oevaln(_u988, _u992, _u994, _u996) | c_Natural_Oevaln(_u990, _u992, _u994, _u996) )).
% 13.06/13.30 cnf(matrix-1311, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u987, _u989, _u991), _u993, _u995, _u997) | ~hBOOL(hAPP(_u987, _u993)) | ~c_Natural_Oevaln(_u989, _u993, _u995, _u997) )).
% 13.06/13.30 cnf(matrix-1312, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u987, _u989, _u991), _u993, _u995, _u997) | hBOOL(hAPP(_u987, _u993)) | ~c_Natural_Oevaln(_u991, _u993, _u995, _u997) )).
% 13.06/13.30 cnf(matrix-1313, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u1004, _u1006, _u1008), _u1010, _u1012, _u1014) | hBOOL(hAPP(_u1004, _u1010)) | c_Natural_Oevaln(_u1008, _u1010, _u1012, _u1014) )).
% 13.06/13.30 cnf(matrix-1314, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u1004, _u1006, _u1008), _u1010, _u1012, _u1014) | c_Natural_Oevaln(_u1006, _u1010, _u1012, _u1014) | ~hBOOL(hAPP(_u1004, _u1010)) )).
% 13.06/13.30 cnf(matrix-1315, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u1004, _u1006, _u1008), _u1010, _u1012, _u1014) | c_Natural_Oevaln(_u1006, _u1010, _u1012, _u1014) | c_Natural_Oevaln(_u1008, _u1010, _u1012, _u1014) )).
% 13.06/13.30 cnf(matrix-1316, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u1005, _u1007, _u1009), _u1011, _u1013, _u1015) | ~hBOOL(hAPP(_u1005, _u1011)) | ~c_Natural_Oevaln(_u1007, _u1011, _u1013, _u1015) )).
% 13.06/13.30 cnf(matrix-1317, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u1005, _u1007, _u1009), _u1011, _u1013, _u1015) | hBOOL(hAPP(_u1005, _u1011)) | ~c_Natural_Oevaln(_u1009, _u1011, _u1013, _u1015) )).
% 13.06/13.30 cnf(matrix-1318, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1021, _u1023, _u1025)), _u1027), _u1029)) | hBOOL(hAPP(_u1021, _u1027)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1025), _u1027), _u1029)) )).
% 13.06/13.30 cnf(matrix-1319, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1021, _u1023, _u1025)), _u1027), _u1029)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1023), _u1027), _u1029)) | ~hBOOL(hAPP(_u1021, _u1027)) )).
% 13.06/13.30 cnf(matrix-1320, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1021, _u1023, _u1025)), _u1027), _u1029)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1023), _u1027), _u1029)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1025), _u1027), _u1029)) )).
% 13.06/13.30 cnf(matrix-1321, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1022, _u1024, _u1026)), _u1028), _u1030)) | ~hBOOL(hAPP(_u1022, _u1028)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1024), _u1028), _u1030)) )).
% 13.06/13.30 cnf(matrix-1322, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1022, _u1024, _u1026)), _u1028), _u1030)) | hBOOL(hAPP(_u1022, _u1028)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1026), _u1028), _u1030)) )).
% 13.06/13.30 cnf(matrix-1323, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1036, _u1038, _u1040)), _u1042), _u1044)) | hBOOL(hAPP(_u1036, _u1042)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1040), _u1042), _u1044)) )).
% 13.06/13.30 cnf(matrix-1324, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1036, _u1038, _u1040)), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1038), _u1042), _u1044)) | ~hBOOL(hAPP(_u1036, _u1042)) )).
% 13.06/13.30 cnf(matrix-1325, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1036, _u1038, _u1040)), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1038), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1040), _u1042), _u1044)) )).
% 13.06/13.30 cnf(matrix-1326, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1037, _u1039, _u1041)), _u1043), _u1045)) | ~hBOOL(hAPP(_u1037, _u1043)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1039), _u1043), _u1045)) )).
% 13.06/13.30 cnf(matrix-1327, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u1037, _u1039, _u1041)), _u1043), _u1045)) | hBOOL(hAPP(_u1037, _u1043)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1041), _u1043), _u1045)) )).
% 13.06/13.30 cnf(matrix-1328, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u1046)) | ~hBOOL(hAPP(c_Com_OWT, _u1047)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1048, _u1046, _u1047))) )).
% 13.06/13.30 cnf(matrix-1329, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1052, _u1054, _u1056))) | hBOOL(hAPP(c_Com_OWT, _u1054)) )).
% 13.06/13.30 cnf(matrix-1330, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1052, _u1054, _u1056))) | hBOOL(hAPP(c_Com_OWT, _u1056)) )).
% 13.06/13.30 cnf(matrix-1331, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u1055)) | ~hBOOL(hAPP(c_Com_OWT, _u1057)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OCond(_u1053, _u1055, _u1057))) )).
% 13.06/13.30 cnf(matrix-1332, plain, ( ( c_Com_Ocom_OCond(_u1058, _u1059, _u1060) != hAPP(c_Com_Ocom_OBODY, _u1061)) )).
% 13.06/13.30 cnf(matrix-1333, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u1062) != c_Com_Ocom_OCond(_u1063, _u1064, _u1065)) )).
% 13.06/13.30 cnf(matrix-1334, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1073, _u1075), _u1077, _u1079, _u1081) | c_Natural_Oevaln(_u1073, _u1077, _u1079, skolem23(_u1081, _u1079, _u1077, _u1075, _u1073)) )).
% 13.06/13.30 cnf(matrix-1335, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1073, _u1075), _u1077, _u1079, _u1081) | c_Natural_Oevaln(_u1075, skolem23(_u1081, _u1079, _u1077, _u1075, _u1073), _u1079, _u1081) )).
% 13.06/13.30 cnf(matrix-1336, plain, ( ~c_Natural_Oevaln(_u1074, _u1078, _u1080, _u1067) | ~c_Natural_Oevaln(_u1076, _u1067, _u1080, _u1082) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1074, _u1076), _u1078, _u1080, _u1082) )).
% 13.06/13.30 cnf(matrix-1337, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1089, _u1091)), _u1093), _u1095)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1089), _u1093), skolem24(_u1095, _u1093, _u1091, _u1089))) )).
% 13.06/13.30 cnf(matrix-1338, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1089, _u1091)), _u1093), _u1095)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1091), skolem24(_u1095, _u1093, _u1091, _u1089)), _u1095)) )).
% 13.06/13.30 cnf(matrix-1339, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1090), _u1094), _u1084)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1092), _u1084), _u1096)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1090, _u1092)), _u1094), _u1096)) )).
% 13.06/13.30 cnf(matrix-1340, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u1097)) | ~hBOOL(hAPP(c_Com_OWT, _u1098)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1097, _u1098))) )).
% 13.06/13.30 cnf(matrix-1341, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1101, _u1103))) | hBOOL(hAPP(c_Com_OWT, _u1101)) )).
% 13.06/13.30 cnf(matrix-1342, plain, ( ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1101, _u1103))) | hBOOL(hAPP(c_Com_OWT, _u1103)) )).
% 13.06/13.30 cnf(matrix-1343, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u1102)) | ~hBOOL(hAPP(c_Com_OWT, _u1104)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OSemi(_u1102, _u1104))) )).
% 13.06/13.30 cnf(matrix-1344, plain, ( ( c_Com_Ocom_OSemi(_u1105, _u1106) != hAPP(c_Com_Ocom_OBODY, _u1107)) )).
% 13.06/13.30 cnf(matrix-1345, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u1108) != c_Com_Ocom_OSemi(_u1109, _u1110)) )).
% 13.06/13.30 cnf(matrix-1346, plain, ( ( c_Com_Ocom_OCond(_u1111, _u1112, _u1113) != c_Com_Ocom_OAss(_u1114, _u1115)) )).
% 13.06/13.30 cnf(matrix-1347, plain, ( ( c_Com_Ocom_OAss(_u1116, _u1117) != c_Com_Ocom_OCond(_u1118, _u1119, _u1120)) )).
% 13.06/13.30 cnf(matrix-1348, plain, ( ( c_Com_Ocom_OCall(_u1121, _u1122, _u1123) != c_Com_Ocom_OCond(_u1124, _u1125, _u1126)) )).
% 13.06/13.30 cnf(matrix-1349, plain, ( ( c_Com_Ocom_OCond(_u1127, _u1128, _u1129) != c_Com_Ocom_OCall(_u1130, _u1131, _u1132)) )).
% 13.06/13.30 cnf(matrix-1350, plain, ( ( c_Com_Ocom_OCond(_u1133, _u1134, _u1135) != c_Com_Ocom_OLocal(_u1136, _u1137, _u1138)) )).
% 13.06/13.30 cnf(matrix-1351, plain, ( ( c_Com_Ocom_OLocal(_u1139, _u1140, _u1141) != c_Com_Ocom_OCond(_u1142, _u1143, _u1144)) )).
% 13.06/13.30 cnf(matrix-1352, plain, ( ( c_Com_Ocom_OCond(_u1145, _u1146, _u1147) != c_Com_Ocom_OSKIP) )).
% 13.06/13.30 cnf(matrix-1353, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u1148, _u1149, _u1150)) )).
% 13.06/13.30 cnf(matrix-1354, plain, ( ( c_Com_Ocom_OSemi(_u1151, _u1152) != c_Com_Ocom_OAss(_u1153, _u1154)) )).
% 13.06/13.30 cnf(matrix-1355, plain, ( ( c_Com_Ocom_OAss(_u1155, _u1156) != c_Com_Ocom_OSemi(_u1157, _u1158)) )).
% 13.06/13.30 cnf(matrix-1356, plain, ( ( c_Com_Ocom_OSemi(_u1159, _u1160) != c_Com_Ocom_OCall(_u1161, _u1162, _u1163)) )).
% 13.06/13.30 cnf(matrix-1357, plain, ( ( c_Com_Ocom_OSemi(_u1164, _u1165) != c_Com_Ocom_OLocal(_u1166, _u1167, _u1168)) )).
% 13.06/13.30 cnf(matrix-1358, plain, ( ( c_Com_Ocom_OCall(_u1169, _u1170, _u1171) != c_Com_Ocom_OSemi(_u1172, _u1173)) )).
% 13.06/13.30 cnf(matrix-1359, plain, ( ( c_Com_Ocom_OLocal(_u1174, _u1175, _u1176) != c_Com_Ocom_OSemi(_u1177, _u1178)) )).
% 13.06/13.30 cnf(matrix-1360, plain, ( ( c_Com_Ocom_OSemi(_u1179, _u1180) != c_Com_Ocom_OSKIP) )).
% 13.06/13.30 cnf(matrix-1361, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u1181, _u1182)) )).
% 13.06/13.30 cnf(matrix-1362, 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)) )).
% 13.06/13.30 cnf(matrix-1363, plain, ( ~class_Rings_Ocomm__semiring__1(_u1183) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1183), _u1184), _u1185) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1183), _u1185), _u1184)) )).
% 13.06/13.30 cnf(matrix-1364, plain, ( ~class_Rings_Ocomm__semiring__1(_u1186) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1187), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1188), _u1189)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1186), _u1187), _u1189))) )).
% 13.06/13.30 cnf(matrix-1365, plain, ( ~class_Rings_Ocomm__semiring__1(_u1190) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), _u1191), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), _u1192), _u1193)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1190), _u1191), _u1192)), _u1193)) )).
% 13.06/13.30 cnf(matrix-1366, plain, ( ~class_Rings_Ocomm__semiring__1(_u1194) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), _u1195), _u1196)), _u1197) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), _u1195), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1194), _u1196), _u1197))) )).
% 13.06/13.30 cnf(matrix-1367, plain, ( ~class_Rings_Ocomm__semiring__1(_u1198) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), _u1199), _u1200)), _u1201) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1198), _u1199), _u1201)), _u1200)) )).
% 13.06/13.30 cnf(matrix-1368, plain, ( ~class_Rings_Ocomm__semiring__1(_u1202) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1203), _u1204)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1205), _u1206)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1203), _u1205)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1202), _u1204), _u1206))) )).
% 13.06/13.30 cnf(matrix-1369, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1370, plain, ( ( c_Option_Ooption_Ooption__rec(_u1207, _u1208, _u1209, _u1210, hAPP(c_Option_Ooption_OSome(_u1208), _u1211)) = hAPP(_u1210, _u1211)) )).
% 13.06/13.30 cnf(matrix-1371, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1212, _u1213, _u1214, _u1215), hAPP(c_Option_Ooption_OSome(_u1213), _u1216)) = hAPP(_u1215, _u1216)) )).
% 13.06/13.30 cnf(matrix-1372, plain, ( ( c_Option_Ooption_Ooption__rec(_u1217, _u1218, _u1219, _u1220, c_Option_Ooption_ONone(_u1218)) = _u1219) )).
% 13.06/13.30 cnf(matrix-1373, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u1221, _u1222, _u1223, _u1224), c_Option_Ooption_ONone(_u1222)) = _u1223) )).
% 13.06/13.30 cnf(matrix-1374, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1375, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1376, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u1225, _u1226)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1226)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1377, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u1227, _u1228)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1228)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-1378, plain, ( ~c_Option_Ois__none(_u1229, hAPP(c_Option_Ooption_OSome(_u1229), _u1230)) )).
% 13.06/13.30 cnf(matrix-1379, plain, ( c_Option_Ois__none(_u1231, c_Option_Ooption_ONone(_u1231)) )).
% 13.06/13.30 cnf(matrix-1380, plain, ( ~c_Option_Ois__none(_u1234, _u1236) | ( _u1236 = c_Option_Ooption_ONone(_u1234)) )).
% 13.06/13.30 cnf(matrix-1381, plain, ( ( _u1237 != c_Option_Ooption_ONone(_u1235)) | c_Option_Ois__none(_u1235, _u1237) )).
% 13.06/13.30 cnf(matrix-1382, plain, ( hBOOL(hAPP(_u1238, _u1239)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1238, _u1240), _u1239, _u1241, _u1239) )).
% 13.06/13.30 cnf(matrix-1383, plain, ( ~hBOOL(hAPP(_u1242, _u1243)) | ~c_Natural_Oevaln(_u1244, _u1243, _u1245, _u1246) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1242, _u1244), _u1246, _u1245, _u1247) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1242, _u1244), _u1243, _u1245, _u1247) )).
% 13.06/13.30 cnf(matrix-1384, plain, ( ~hBOOL(hAPP(_u1248, _u1249)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1250), _u1249), _u1251)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1248, _u1250)), _u1251), _u1252)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1248, _u1250)), _u1249), _u1252)) )).
% 13.06/13.30 cnf(matrix-1385, plain, ( hBOOL(hAPP(_u1253, _u1254)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1253, _u1255)), _u1254), _u1254)) )).
% 13.06/13.30 cnf(matrix-1386, plain, ( hBOOL(hAPP(c_Com_OWT, _u1257)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1256, _u1257))) )).
% 13.06/13.30 cnf(matrix-1387, plain, ( ( c_Com_Ocom_OWhile(_u1262, _u1264) != c_Com_Ocom_OWhile(_u1266, _u1268)) | ( _u1262 = _u1266) )).
% 13.06/13.30 cnf(matrix-1388, plain, ( ( c_Com_Ocom_OWhile(_u1262, _u1264) != c_Com_Ocom_OWhile(_u1266, _u1268)) | ( _u1264 = _u1268) )).
% 13.06/13.30 cnf(matrix-1389, plain, ( ( _u1263 != _u1267) | ( _u1265 != _u1269) | ( c_Com_Ocom_OWhile(_u1263, _u1265) = c_Com_Ocom_OWhile(_u1267, _u1269)) )).
% 13.06/13.30 cnf(matrix-1390, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1276, _u1278), _u1280, _u1282, _u1280) | ~hBOOL(hAPP(_u1276, _u1280)) | c_Natural_Oevaln(_u1278, _u1280, _u1282, skolem25(_u1282, _u1280, _u1278, _u1276)) )).
% 13.06/13.30 cnf(matrix-1391, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1276, _u1278), _u1280, _u1282, _u1280) | ~hBOOL(hAPP(_u1276, _u1280)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1276, _u1278), skolem25(_u1282, _u1280, _u1278, _u1276), _u1282, _u1280) )).
% 13.06/13.30 cnf(matrix-1392, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1277, _u1279), _u1281, _u1283, _u1281) | hBOOL(hAPP(_u1277, _u1281)) )).
% 13.06/13.30 cnf(matrix-1393, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1277, _u1279), _u1281, _u1283, _u1281) | ~c_Natural_Oevaln(_u1279, _u1281, _u1283, _u1271) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1277, _u1279), _u1271, _u1283, _u1281) )).
% 13.06/13.30 cnf(matrix-1394, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ( _u1299 = _u1295) | hBOOL(hAPP(_u1291, _u1295)) )).
% 13.06/13.30 cnf(matrix-1395, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ( _u1299 = _u1295) | c_Natural_Oevaln(_u1293, _u1295, _u1297, skolem26(_u1299, _u1297, _u1295, _u1293, _u1291)) )).
% 13.06/13.30 cnf(matrix-1396, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ( _u1299 = _u1295) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), skolem26(_u1299, _u1297, _u1295, _u1293, _u1291), _u1297, _u1299) )).
% 13.06/13.30 cnf(matrix-1397, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ~hBOOL(hAPP(_u1291, _u1295)) | c_Natural_Oevaln(_u1293, _u1295, _u1297, skolem26(_u1299, _u1297, _u1295, _u1293, _u1291)) )).
% 13.06/13.30 cnf(matrix-1398, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), _u1295, _u1297, _u1299) | ~hBOOL(hAPP(_u1291, _u1295)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1291, _u1293), skolem26(_u1299, _u1297, _u1295, _u1293, _u1291), _u1297, _u1299) )).
% 13.06/13.30 cnf(matrix-1399, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1292, _u1294), _u1296, _u1298, _u1300) | ( _u1300 != _u1296) | hBOOL(hAPP(_u1292, _u1296)) )).
% 13.06/13.30 cnf(matrix-1400, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1292, _u1294), _u1296, _u1298, _u1300) | ~hBOOL(hAPP(_u1292, _u1296)) | ~c_Natural_Oevaln(_u1294, _u1296, _u1298, _u1285) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1292, _u1294), _u1285, _u1298, _u1300) )).
% 13.06/13.30 cnf(matrix-1401, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ( _u1313 = _u1311) | hBOOL(hAPP(_u1307, _u1311)) )).
% 13.06/13.30 cnf(matrix-1402, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ( _u1313 = _u1311) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1309), _u1311), skolem27(_u1313, _u1311, _u1309, _u1307))) )).
% 13.06/13.30 cnf(matrix-1403, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ( _u1313 = _u1311) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), skolem27(_u1313, _u1311, _u1309, _u1307)), _u1313)) )).
% 13.06/13.30 cnf(matrix-1404, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ~hBOOL(hAPP(_u1307, _u1311)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1309), _u1311), skolem27(_u1313, _u1311, _u1309, _u1307))) )).
% 13.06/13.30 cnf(matrix-1405, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), _u1311), _u1313)) | ~hBOOL(hAPP(_u1307, _u1311)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1307, _u1309)), skolem27(_u1313, _u1311, _u1309, _u1307)), _u1313)) )).
% 13.06/13.30 cnf(matrix-1406, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1308, _u1310)), _u1312), _u1314)) | ( _u1314 != _u1312) | hBOOL(hAPP(_u1308, _u1312)) )).
% 13.06/13.30 cnf(matrix-1407, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1308, _u1310)), _u1312), _u1314)) | ~hBOOL(hAPP(_u1308, _u1312)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1310), _u1312), _u1302)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1308, _u1310)), _u1302), _u1314)) )).
% 13.06/13.30 cnf(matrix-1408, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1320, _u1322)), _u1324), _u1324)) | ~hBOOL(hAPP(_u1320, _u1324)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1322), _u1324), skolem28(_u1324, _u1322, _u1320))) )).
% 13.06/13.30 cnf(matrix-1409, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1320, _u1322)), _u1324), _u1324)) | ~hBOOL(hAPP(_u1320, _u1324)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1320, _u1322)), skolem28(_u1324, _u1322, _u1320)), _u1324)) )).
% 13.06/13.30 cnf(matrix-1410, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1321, _u1323)), _u1325), _u1325)) | hBOOL(hAPP(_u1321, _u1325)) )).
% 13.06/13.30 cnf(matrix-1411, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1321, _u1323)), _u1325), _u1325)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1323), _u1325), _u1316)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1321, _u1323)), _u1316), _u1325)) )).
% 13.06/13.30 cnf(matrix-1412, plain, ( hBOOL(hAPP(c_Com_OWT, _u1330)) | ~hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1328, _u1330))) )).
% 13.06/13.30 cnf(matrix-1413, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u1331)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1329, _u1331))) )).
% 13.06/13.30 cnf(matrix-1414, plain, ( ~hBOOL(hAPP(c_Com_OWT, _u1332)) | hBOOL(hAPP(c_Com_OWT, c_Com_Ocom_OWhile(_u1333, _u1332))) )).
% 13.06/13.30 cnf(matrix-1415, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u1334) != c_Com_Ocom_OWhile(_u1335, _u1336)) )).
% 13.06/13.30 cnf(matrix-1416, plain, ( ( c_Com_Ocom_OWhile(_u1337, _u1338) != hAPP(c_Com_Ocom_OBODY, _u1339)) )).
% 13.06/13.30 cnf(matrix-1417, plain, ( ( c_Com_Ocom_OWhile(_u1340, _u1341) != c_Com_Ocom_OCond(_u1342, _u1343, _u1344)) )).
% 13.06/13.30 cnf(matrix-1418, plain, ( ( c_Com_Ocom_OCond(_u1345, _u1346, _u1347) != c_Com_Ocom_OWhile(_u1348, _u1349)) )).
% 13.06/13.30 cnf(matrix-1419, plain, ( ( c_Com_Ocom_OAss(_u1350, _u1351) != c_Com_Ocom_OWhile(_u1352, _u1353)) )).
% 13.06/13.30 cnf(matrix-1420, plain, ( ( c_Com_Ocom_OWhile(_u1354, _u1355) != c_Com_Ocom_OAss(_u1356, _u1357)) )).
% 13.06/13.30 cnf(matrix-1421, plain, ( ( c_Com_Ocom_OLocal(_u1358, _u1359, _u1360) != c_Com_Ocom_OWhile(_u1361, _u1362)) )).
% 13.06/13.30 cnf(matrix-1422, plain, ( ( c_Com_Ocom_OCall(_u1363, _u1364, _u1365) != c_Com_Ocom_OWhile(_u1366, _u1367)) )).
% 13.06/13.30 cnf(matrix-1423, plain, ( ( c_Com_Ocom_OWhile(_u1368, _u1369) != c_Com_Ocom_OLocal(_u1370, _u1371, _u1372)) )).
% 13.06/13.30 cnf(matrix-1424, plain, ( ( c_Com_Ocom_OWhile(_u1373, _u1374) != c_Com_Ocom_OCall(_u1375, _u1376, _u1377)) )).
% 13.06/13.30 cnf(matrix-1425, plain, ( ( c_Com_Ocom_OSemi(_u1378, _u1379) != c_Com_Ocom_OWhile(_u1380, _u1381)) )).
% 13.06/13.30 cnf(matrix-1426, plain, ( ( c_Com_Ocom_OWhile(_u1382, _u1383) != c_Com_Ocom_OSemi(_u1384, _u1385)) )).
% 13.06/13.30 cnf(matrix-1427, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u1386, _u1387)) )).
% 13.06/13.30 cnf(matrix-1428, plain, ( ( c_Com_Ocom_OWhile(_u1388, _u1389) != c_Com_Ocom_OSKIP) )).
% 13.06/13.30 cnf(matrix-1429, plain, ( ~class_Rings_Olinordered__semidom(_u1390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1390), c_Groups_Ozero__class_Ozero(_u1390)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1390), _u1391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1391)) )).
% 13.06/13.30 cnf(matrix-1430, plain, ( ~class_Rings_Olinordered__semidom(_u1390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1390), c_Groups_Ozero__class_Ozero(_u1390)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1390), _u1391))) )).
% 13.06/13.30 cnf(matrix-1431, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1432, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1393), _u1394)) | ( _u1394 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1393), skolem29(_u1394, _u1393)))) )).
% 13.06/13.30 cnf(matrix-1434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1396), _u1397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem30(_u1397, _u1396))) )).
% 13.06/13.30 cnf(matrix-1435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1396), _u1397)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1396), skolem30(_u1397, _u1396)) = _u1397) )).
% 13.06/13.30 cnf(matrix-1436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1399)) | ( _u1399 = hAPP(c_Nat_OSuc, skolem31(_u1399))) )).
% 13.06/13.30 cnf(matrix-1437, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1401, _u1402)), _u1403), _u1404)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1401), _u1403), skolem32(_u1404, _u1403, _u1402, _u1401))) )).
% 13.06/13.30 cnf(matrix-1438, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1401, _u1402)), _u1403), _u1404)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1402), skolem32(_u1404, _u1403, _u1402, _u1401)), _u1404)) )).
% 13.06/13.30 cnf(matrix-1439, plain, ( ~class_Orderings_Oorder(_u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, skolem33(_u1409, _u1408, _u1407, _u1406))), hAPP(_u1407, hAPP(c_Nat_OSuc, skolem33(_u1409, _u1408, _u1407, _u1406))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, _u1408)), hAPP(_u1407, _u1409))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1408), _u1409)) )).
% 13.06/13.30 cnf(matrix-1440, plain, ( ~class_Orderings_Oorder(_u1406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, skolem33(_u1409, _u1408, _u1407, _u1406))), hAPP(_u1407, hAPP(c_Nat_OSuc, skolem33(_u1409, _u1408, _u1407, _u1406))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1408), _u1409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1406), hAPP(_u1407, _u1408)), hAPP(_u1407, _u1409))) )).
% 13.06/13.30 cnf(matrix-1441, plain, ( ~class_Orderings_Oorder(_u1411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), hAPP(_u1412, skolem34(_u1414, _u1413, _u1412, _u1411))), hAPP(_u1412, hAPP(c_Nat_OSuc, skolem34(_u1414, _u1413, _u1412, _u1411))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1413), _u1414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1411), hAPP(_u1412, _u1413)), hAPP(_u1412, _u1414))) )).
% 13.06/13.30 cnf(matrix-1442, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1416, _u1417), _u1418, _u1419, _u1420) | c_Natural_Oevaln(_u1416, _u1418, _u1419, skolem35(_u1420, _u1419, _u1418, _u1417, _u1416)) )).
% 13.06/13.30 cnf(matrix-1443, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1416, _u1417), _u1418, _u1419, _u1420) | c_Natural_Oevaln(_u1417, skolem35(_u1420, _u1419, _u1418, _u1417, _u1416), _u1419, _u1420) )).
% 13.06/13.30 cnf(matrix-1444, plain, ( ~class_Nat_Osemiring__char__0(_u1421) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1422) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1423)) | ( _u1422 = _u1423) )).
% 13.06/13.30 cnf(matrix-1445, plain, ( ~class_Nat_Osemiring__char__0(_u1421) | ( _u1422 != _u1423) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1422) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1421), _u1423)) )).
% 13.06/13.30 cnf(matrix-1446, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1425) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1425 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1447, plain, ( ( _u1426 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1448, 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)) )).
% 13.06/13.30 cnf(matrix-1449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1431), _u1433)) | ( _u1433 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1431), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem36(_u1433, _u1431))))) )).
% 13.06/13.30 cnf(matrix-1450, plain, ( ( _u1434 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1432), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1428)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1432), _u1434)) )).
% 13.06/13.30 cnf(matrix-1451, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1437)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1437), _u1439)) )).
% 13.06/13.30 cnf(matrix-1452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1438), _u1440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1438)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1440))) )).
% 13.06/13.30 cnf(matrix-1453, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1442)), _u1443)) = 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), _u1441), _u1442))), _u1443)) )).
% 13.06/13.30 cnf(matrix-1454, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1444)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1445)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1444), _u1445))) )).
% 13.06/13.30 cnf(matrix-1455, 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), _u1447))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1447)) )).
% 13.06/13.30 cnf(matrix-1456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1448)) | 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), _u1448))) )).
% 13.06/13.30 cnf(matrix-1457, plain, ( ~class_Rings_Olinordered__semidom(_u1449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1449), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1449), _u1450)), c_Groups_Ozero__class_Ozero(_u1449))) )).
% 13.06/13.30 cnf(matrix-1458, plain, ( ~class_Rings_Osemiring__1(_u1451) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1451), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1451)) )).
% 13.06/13.30 cnf(matrix-1459, plain, ( ~class_Rings_Olinordered__semidom(_u1452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1452), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1452), _u1453)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1452), _u1454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1453), _u1454)) )).
% 13.06/13.30 cnf(matrix-1460, plain, ( ~class_Rings_Olinordered__semidom(_u1455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1456), _u1457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1455), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1455), _u1456)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1455), _u1457))) )).
% 13.06/13.30 cnf(matrix-1461, plain, ( ~class_Rings_Olinordered__semidom(_u1458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1458), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1459)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1459), _u1460)) )).
% 13.06/13.30 cnf(matrix-1462, plain, ( ~class_Rings_Olinordered__semidom(_u1458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1459), _u1460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1458), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1459)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1458), _u1460))) )).
% 13.06/13.30 cnf(matrix-1463, plain, ( ~class_Rings_Osemiring__1(_u1461) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1461), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1462), _u1463)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1461), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1461), _u1462)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1461), _u1463))) )).
% 13.06/13.30 cnf(matrix-1464, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1464)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1465)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1464), _u1465))) )).
% 13.06/13.30 cnf(matrix-1465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1468)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1470))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1468), _u1470)) )).
% 13.06/13.30 cnf(matrix-1466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1469), _u1471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1469)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1471))) )).
% 13.06/13.30 cnf(matrix-1467, 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))) )).
% 13.06/13.30 cnf(matrix-1468, plain, ( ~class_Orderings_Opreorder(_u1472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1472), _u1473), _u1473)) )).
% 13.06/13.30 cnf(matrix-1469, plain, ( ~class_Orderings_Olinorder(_u1474) | ( _u1475 = _u1476) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1475), _u1476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1476), _u1475)) )).
% 13.06/13.30 cnf(matrix-1470, plain, ( ~class_Orderings_Olinorder(_u1474) | ( _u1475 != _u1476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1475), _u1476)) )).
% 13.06/13.30 cnf(matrix-1471, plain, ( ~class_Orderings_Olinorder(_u1474) | ( _u1475 != _u1476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1474), _u1476), _u1475)) )).
% 13.06/13.30 cnf(matrix-1472, plain, ( ~class_Orderings_Olinorder(_u1477) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1478), _u1479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1479), _u1478)) | ( _u1478 = _u1479) )).
% 13.06/13.30 cnf(matrix-1473, plain, ( ~class_Orderings_Olinorder(_u1477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1478), _u1479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1479), _u1478)) )).
% 13.06/13.30 cnf(matrix-1474, plain, ( ~class_Orderings_Olinorder(_u1477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1477), _u1478), _u1479)) | ( _u1478 != _u1479) )).
% 13.06/13.30 cnf(matrix-1475, plain, ( ~class_Orderings_Olinorder(_u1480) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1480), _u1481), _u1482)) | ( _u1481 = _u1482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1480), _u1482), _u1481)) )).
% 13.06/13.30 cnf(matrix-1476, plain, ( ~class_Orderings_Olinorder(_u1483) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1484), _u1485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1485), _u1484)) | ( _u1485 = _u1484) )).
% 13.06/13.30 cnf(matrix-1477, plain, ( ~class_Orderings_Olinorder(_u1483) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1484), _u1485)) | ( _u1485 != _u1484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1483), _u1485), _u1484)) )).
% 13.06/13.30 cnf(matrix-1478, plain, ( ~class_Orderings_Olinorder(_u1486) | ( _u1487 = _u1488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1486), _u1487), _u1488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1486), _u1488), _u1487)) )).
% 13.06/13.30 cnf(matrix-1479, plain, ( ~class_Orderings_Oorder(_u1489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1489), _u1490), _u1491)) | ( _u1490 != _u1491) )).
% 13.06/13.30 cnf(matrix-1480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1492)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1481, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1495) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1497)) | ( _u1495 = _u1497) )).
% 13.06/13.30 cnf(matrix-1482, plain, ( ( _u1496 != _u1498) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1496) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1498)) )).
% 13.06/13.30 cnf(matrix-1483, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1501) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1503)) | ( _u1501 = _u1503) )).
% 13.06/13.30 cnf(matrix-1484, plain, ( ( _u1502 != _u1504) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1502) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1504)) )).
% 13.06/13.30 cnf(matrix-1485, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1505) = _u1505) )).
% 13.06/13.30 cnf(matrix-1486, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1506), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1506) )).
% 13.06/13.30 cnf(matrix-1487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1507), _u1508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1507), _u1509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1508), _u1509))) )).
% 13.06/13.30 cnf(matrix-1488, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1510), _u1511)), _u1512) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1511), _u1512))) )).
% 13.06/13.30 cnf(matrix-1489, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1514), _u1515)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1514), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1513), _u1515))) )).
% 13.06/13.30 cnf(matrix-1490, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1516), _u1517)) | ( _u1516 = _u1517) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1517), _u1516)) )).
% 13.06/13.30 cnf(matrix-1491, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1518), _u1519) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1519), _u1518)) )).
% 13.06/13.30 cnf(matrix-1492, plain, ( ~class_Orderings_Olinorder(_u1520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1520), _u1521), _u1522)) | ( _u1521 = _u1522) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1520), _u1522), _u1521)) )).
% 13.06/13.30 cnf(matrix-1493, plain, ( ~class_Orderings_Opreorder(_u1523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1524), _u1525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1523), _u1525), _u1524)) )).
% 13.06/13.30 cnf(matrix-1494, plain, ( ~class_Orderings_Oorder(_u1526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1527), _u1528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1529), _u1527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1526), _u1529), _u1528)) )).
% 13.06/13.30 cnf(matrix-1495, plain, ( ~class_Orderings_Opreorder(_u1530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), _u1531), _u1532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), _u1532), _u1533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1530), _u1531), _u1533)) )).
% 13.06/13.30 cnf(matrix-1496, plain, ( ~class_Orderings_Oorder(_u1534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1534), _u1535), _u1536)) | ( _u1535 != _u1537) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1534), _u1537), _u1536)) )).
% 13.06/13.30 cnf(matrix-1497, plain, ( ~class_Orderings_Oord(_u1538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1540)) | ( _u1540 != _u1541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1538), _u1539), _u1541)) )).
% 13.06/13.30 cnf(matrix-1498, plain, ( ~class_Orderings_Oorder(_u1542) | ( _u1543 != _u1544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1542), _u1545), _u1544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1542), _u1545), _u1543)) )).
% 13.06/13.30 cnf(matrix-1499, plain, ( ~class_Orderings_Oord(_u1546) | ( _u1547 != _u1548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1546), _u1548), _u1549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1546), _u1547), _u1549)) )).
% 13.06/13.30 cnf(matrix-1500, plain, ( ~class_Orderings_Oorder(_u1550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1550), _u1551), _u1552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1550), _u1552), _u1551)) )).
% 13.06/13.30 cnf(matrix-1501, plain, ( ~class_Orderings_Opreorder(_u1553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1553), _u1554), _u1555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1553), _u1555), _u1554)) )).
% 13.06/13.30 cnf(matrix-1502, plain, ( ~class_Orderings_Oorder(_u1556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1556), _u1557), _u1558)) | ( _u1558 != _u1557) )).
% 13.06/13.30 cnf(matrix-1503, plain, ( ~class_Orderings_Oorder(_u1559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1559), _u1560), _u1561)) | ( _u1560 != _u1561) )).
% 13.06/13.30 cnf(matrix-1504, plain, ( ~class_Orderings_Opreorder(_u1562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1563), _u1564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1562), _u1564), _u1563)) )).
% 13.06/13.30 cnf(matrix-1505, plain, ( ~class_Orderings_Opreorder(_u1565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1565), _u1566), _u1567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1565), _u1567), _u1566)) )).
% 13.06/13.30 cnf(matrix-1506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem37(_u1569))) )).
% 13.06/13.30 cnf(matrix-1507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1569)) | ( _u1569 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem37(_u1569))) )).
% 13.06/13.30 cnf(matrix-1508, plain, ( ~class_Rings_Olinordered__idom(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), c_Groups_Ozero__class_Ozero(_u1570)), hAPP(c_Int_Oring__1__class_Oof__int(_u1570), _u1571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1571)) )).
% 13.06/13.30 cnf(matrix-1509, plain, ( ~class_Rings_Olinordered__idom(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), c_Groups_Ozero__class_Ozero(_u1570)), hAPP(c_Int_Oring__1__class_Oof__int(_u1570), _u1571))) )).
% 13.06/13.30 cnf(matrix-1510, plain, ( ~class_Rings_Olinordered__idom(_u1572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1572), hAPP(c_Int_Oring__1__class_Oof__int(_u1572), _u1573)), c_Groups_Ozero__class_Ozero(_u1572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1573), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1511, plain, ( ~class_Rings_Olinordered__idom(_u1572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1573), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1572), hAPP(c_Int_Oring__1__class_Oof__int(_u1572), _u1573)), c_Groups_Ozero__class_Ozero(_u1572))) )).
% 13.06/13.30 cnf(matrix-1512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1574), _u1575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1576)) | 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), _u1576)), _u1574)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1576)), _u1575))) )).
% 13.06/13.30 cnf(matrix-1513, 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, _u1577)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1514, plain, ( ~hBOOL(hAPP(_u1582, hAPP(c_Int_Onat, _u1584))) | ( _u1584 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1578)) | hBOOL(hAPP(_u1582, _u1578)) )).
% 13.06/13.30 cnf(matrix-1515, plain, ( ~hBOOL(hAPP(_u1582, hAPP(c_Int_Onat, _u1584))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1584), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1582, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1516, plain, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ( _u1585 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem38(_u1585, _u1583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1585), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1517, plain, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ( _u1585 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem38(_u1585, _u1583))) | ~hBOOL(hAPP(_u1583, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1518, plain, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ~hBOOL(hAPP(_u1583, skolem38(_u1585, _u1583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1585), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1519, plain, ( hBOOL(hAPP(_u1583, hAPP(c_Int_Onat, _u1585))) | ~hBOOL(hAPP(_u1583, skolem38(_u1585, _u1583))) | ~hBOOL(hAPP(_u1583, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1520, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1587)) )).
% 13.06/13.30 cnf(matrix-1521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1588))) )).
% 13.06/13.30 cnf(matrix-1522, 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, _u1589)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1590))) )).
% 13.06/13.30 cnf(matrix-1523, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1591)) = 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), _u1591))) )).
% 13.06/13.30 cnf(matrix-1524, 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)), _u1593)), _u1593)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1593), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1594), 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)), _u1594)), _u1594)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1526, plain, ( ~class_Rings_Olinordered__semidom(_u1595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1595), c_Groups_Oone__class_Oone(_u1595)), _u1596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1595), c_Groups_Oone__class_Oone(_u1595)), _u1597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1595), c_Groups_Oone__class_Oone(_u1595)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1595), _u1596), _u1597))) )).
% 13.06/13.30 cnf(matrix-1527, plain, ( ~class_Rings_Ocomm__semiring__1(_u1598) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1598), _u1599), _u1600)), _u1600) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1598), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1598), _u1599), c_Groups_Oone__class_Oone(_u1598))), _u1600)) )).
% 13.06/13.30 cnf(matrix-1528, plain, ( ~class_Rings_Ocomm__semiring__1(_u1601) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1601), _u1602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1601), _u1603), _u1602)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1601), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1601), _u1603), c_Groups_Oone__class_Oone(_u1601))), _u1602)) )).
% 13.06/13.30 cnf(matrix-1529, plain, ( ~class_Rings_Ocomm__semiring__1(_u1604) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1604), _u1605), _u1605) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1604), c_Groups_Oone__class_Oone(_u1604)), c_Groups_Oone__class_Oone(_u1604))), _u1605)) )).
% 13.06/13.30 cnf(matrix-1530, plain, ( ~class_Rings_Oidom(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1608), _u1608)) | ( _u1607 = _u1608) | ( _u1607 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1606), _u1608)) )).
% 13.06/13.30 cnf(matrix-1531, plain, ( ~class_Rings_Oidom(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1608), _u1608)) | ( _u1607 != _u1608) )).
% 13.06/13.30 cnf(matrix-1532, plain, ( ~class_Rings_Oidom(_u1606) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1607), _u1607) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1606), _u1608), _u1608)) | ( _u1607 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1606), _u1608)) )).
% 13.06/13.30 cnf(matrix-1533, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1609), _u1610)), _u1611) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1610), _u1611))) )).
% 13.06/13.30 cnf(matrix-1534, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1613) != c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 = c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1612), c_Groups_Oone__class_Oone(_u1612))) )).
% 13.06/13.30 cnf(matrix-1535, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1613) = c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 != c_Groups_Oone__class_Oone(_u1612)) )).
% 13.06/13.30 cnf(matrix-1536, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1613) = c_Groups_Oone__class_Oone(_u1612)) | ( _u1613 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1612), c_Groups_Oone__class_Oone(_u1612))) )).
% 13.06/13.30 cnf(matrix-1537, plain, ( ~class_Rings_Oring(_u1614) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1614), hAPP(c_Groups_Ouminus__class_Ouminus(_u1614), _u1615)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1614), _u1616)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1614), _u1615), _u1616)) )).
% 13.06/13.30 cnf(matrix-1538, plain, ( ~class_Int_Oring__char__0(_u1617) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1618) != hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1619)) | ( _u1618 = _u1619) )).
% 13.06/13.30 cnf(matrix-1539, plain, ( ~class_Int_Oring__char__0(_u1617) | ( _u1618 != _u1619) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1618) = hAPP(c_Int_Oring__1__class_Oof__int(_u1617), _u1619)) )).
% 13.06/13.30 cnf(matrix-1540, plain, ( ~class_Rings_Oring(_u1620) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), hAPP(c_Groups_Ouminus__class_Ouminus(_u1620), _u1621)), _u1622) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), _u1621), hAPP(c_Groups_Ouminus__class_Ouminus(_u1620), _u1622))) )).
% 13.06/13.30 cnf(matrix-1541, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1623)), _u1624) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1623), _u1624))) )).
% 13.06/13.30 cnf(matrix-1542, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1625), _u1626) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1626), _u1625)) )).
% 13.06/13.30 cnf(matrix-1543, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1627), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1627) )).
% 13.06/13.30 cnf(matrix-1544, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1628) = _u1628) )).
% 13.06/13.30 cnf(matrix-1545, plain, ( ~class_Rings_Oring__1(_u1629) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1630), _u1631)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), hAPP(c_Int_Oring__1__class_Oof__int(_u1629), _u1630)), hAPP(c_Int_Oring__1__class_Oof__int(_u1629), _u1631))) )).
% 13.06/13.30 cnf(matrix-1546, plain, ( ~class_Rings_Oring(_u1632) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1632), _u1633), _u1634)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1632), hAPP(c_Groups_Ouminus__class_Ouminus(_u1632), _u1633)), _u1634)) )).
% 13.06/13.30 cnf(matrix-1547, plain, ( ~class_Rings_Oring(_u1635) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1635), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1635), _u1636), _u1637)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1635), _u1636), hAPP(c_Groups_Ouminus__class_Ouminus(_u1635), _u1637))) )).
% 13.06/13.30 cnf(matrix-1548, plain, ( ~class_Rings_Oring__1(_u1638) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1639)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1638), hAPP(c_Int_Oring__1__class_Oof__int(_u1638), _u1639))) )).
% 13.06/13.30 cnf(matrix-1549, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1640)) = _u1640) )).
% 13.06/13.30 cnf(matrix-1550, plain, ( ~class_Rings_Oring__1(_u1641) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1641), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1641)) )).
% 13.06/13.30 cnf(matrix-1551, plain, ( ~class_Groups_Oab__semigroup__mult(_u1642) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), _u1643), _u1644)), _u1645) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), _u1643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1642), _u1644), _u1645))) )).
% 13.06/13.30 cnf(matrix-1552, plain, ( ~class_Groups_Ogroup__add(_u1646) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1647) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1648)) | ( _u1647 = _u1648) )).
% 13.06/13.30 cnf(matrix-1553, plain, ( ~class_Groups_Ogroup__add(_u1646) | ( _u1647 != _u1648) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1647) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1646), _u1648)) )).
% 13.06/13.30 cnf(matrix-1554, plain, ( ~class_Groups_Ogroup__add(_u1649) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650) != _u1651) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1651) = _u1650) )).
% 13.06/13.30 cnf(matrix-1555, plain, ( ~class_Groups_Ogroup__add(_u1649) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1651) != _u1650) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650) = _u1651) )).
% 13.06/13.30 cnf(matrix-1556, plain, ( ~class_Groups_Ogroup__add(_u1652) | ( _u1653 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1654)) | ( _u1654 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1653)) )).
% 13.06/13.30 cnf(matrix-1557, plain, ( ~class_Groups_Ogroup__add(_u1652) | ( _u1654 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1653)) | ( _u1653 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1652), _u1654)) )).
% 13.06/13.30 cnf(matrix-1558, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1655) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1655), _u1656), c_Groups_Oone__class_Oone(_u1655)) = _u1656) )).
% 13.06/13.30 cnf(matrix-1559, plain, ( ~class_Groups_Omonoid__mult(_u1657) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), c_Groups_Oone__class_Oone(_u1657)) = _u1658) )).
% 13.06/13.30 cnf(matrix-1560, plain, ( ~class_Groups_Oone(_u1659) | ( c_Groups_Oone__class_Oone(_u1659) != _u1660) | ( _u1660 = c_Groups_Oone__class_Oone(_u1659)) )).
% 13.06/13.30 cnf(matrix-1561, plain, ( ~class_Groups_Oone(_u1659) | ( _u1660 != c_Groups_Oone__class_Oone(_u1659)) | ( c_Groups_Oone__class_Oone(_u1659) = _u1660) )).
% 13.06/13.30 cnf(matrix-1562, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1661) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1661), c_Groups_Oone__class_Oone(_u1661)), _u1662) = _u1662) )).
% 13.06/13.30 cnf(matrix-1563, plain, ( ~class_Groups_Omonoid__mult(_u1663) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), c_Groups_Oone__class_Oone(_u1663)), _u1664) = _u1664) )).
% 13.06/13.30 cnf(matrix-1564, plain, ( ~class_Groups_Ogroup__add(_u1665) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1665), hAPP(c_Groups_Ouminus__class_Ouminus(_u1665), _u1666)) = _u1666) )).
% 13.06/13.30 cnf(matrix-1565, plain, ( ~class_Rings_Ocomm__semiring__1(_u1667) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1668), _u1669)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1670), _u1671)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1668), _u1670)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1669), _u1671))) )).
% 13.06/13.30 cnf(matrix-1566, plain, ( ~class_Rings_Ocomm__semiring__1(_u1672) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1673), _u1674)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1675), _u1676)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1672), _u1673), _u1674)), _u1676))) )).
% 13.06/13.30 cnf(matrix-1567, plain, ( ~class_Rings_Ocomm__semiring__1(_u1677) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1678), _u1679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1680), _u1681)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1680), _u1681)))) )).
% 13.06/13.30 cnf(matrix-1568, plain, ( ~class_Rings_Ocomm__semiring__1(_u1682) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), _u1683), _u1684)), _u1685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1682), _u1683), _u1685)), _u1684)) )).
% 13.06/13.30 cnf(matrix-1569, plain, ( ~class_Rings_Ocomm__semiring__1(_u1686) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1687), _u1688)), _u1689) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1688), _u1689))) )).
% 13.06/13.30 cnf(matrix-1570, plain, ( ~class_Rings_Ocomm__semiring__1(_u1690) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), _u1691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), _u1692), _u1693)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1690), _u1691), _u1692)), _u1693)) )).
% 13.06/13.30 cnf(matrix-1571, plain, ( ~class_Rings_Ocomm__semiring__1(_u1694) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1696), _u1697)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1694), _u1695), _u1697))) )).
% 13.06/13.30 cnf(matrix-1572, plain, ( ~class_Rings_Ocomm__semiring__1(_u1698) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1698), _u1699), _u1700) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1698), _u1700), _u1699)) )).
% 13.06/13.30 cnf(matrix-1573, plain, ( ~class_Rings_Ocomm__semiring__1(_u1701) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1701), _u1702), c_Groups_Oone__class_Oone(_u1701)) = _u1702) )).
% 13.06/13.30 cnf(matrix-1574, plain, ( ~class_Rings_Ocomm__semiring__1(_u1703) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1703), c_Groups_Oone__class_Oone(_u1703)), _u1704) = _u1704) )).
% 13.06/13.30 cnf(matrix-1575, plain, ( ~class_Rings_Ocomm__ring__1(_u1705) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1705), _u1706) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1705), hAPP(c_Groups_Ouminus__class_Ouminus(_u1705), c_Groups_Oone__class_Oone(_u1705))), _u1706)) )).
% 13.06/13.30 cnf(matrix-1576, plain, ( ~class_Rings_Osemiring__1(_u1707) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1708), _u1709)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1707), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1707), _u1708)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1707), _u1709))) )).
% 13.06/13.30 cnf(matrix-1577, plain, ( ~class_Rings_Osemiring__1(_u1710) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1710), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1710)) )).
% 13.06/13.30 cnf(matrix-1578, plain, ( ~class_Rings_Oring__1(_u1711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1712), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1711), _u1712) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1711), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1711), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1712))))) )).
% 13.06/13.30 cnf(matrix-1579, plain, ( ~class_Rings_Oring__1(_u1711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1712), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1711), _u1712) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1711), hAPP(c_Int_Onat, _u1712))) )).
% 13.06/13.30 cnf(matrix-1580, 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), _u1713))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1581, 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))) )).
% 13.06/13.30 cnf(matrix-1582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1714)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1714), _u1715) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1714 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1714)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1714), _u1715) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1715 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1714)) | ( _u1714 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1715 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1714), _u1715) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1585, plain, ( ~class_Groups_Ogroup__add(_u1716) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1716), c_Groups_Ozero__class_Ozero(_u1716)) = c_Groups_Ozero__class_Ozero(_u1716)) )).
% 13.06/13.30 cnf(matrix-1586, plain, ( ~class_Groups_Ogroup__add(_u1717) | ( c_Groups_Ozero__class_Ozero(_u1717) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1717), _u1718)) | ( c_Groups_Ozero__class_Ozero(_u1717) = _u1718) )).
% 13.06/13.30 cnf(matrix-1587, plain, ( ~class_Groups_Ogroup__add(_u1717) | ( c_Groups_Ozero__class_Ozero(_u1717) != _u1718) | ( c_Groups_Ozero__class_Ozero(_u1717) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1717), _u1718)) )).
% 13.06/13.30 cnf(matrix-1588, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1719) | ( _u1720 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1719), _u1720)) | ( _u1720 = c_Groups_Ozero__class_Ozero(_u1719)) )).
% 13.06/13.30 cnf(matrix-1589, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1719) | ( _u1720 != c_Groups_Ozero__class_Ozero(_u1719)) | ( _u1720 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1719), _u1720)) )).
% 13.06/13.30 cnf(matrix-1590, plain, ( ~class_Groups_Ogroup__add(_u1721) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1721), _u1722) != c_Groups_Ozero__class_Ozero(_u1721)) | ( _u1722 = c_Groups_Ozero__class_Ozero(_u1721)) )).
% 13.06/13.30 cnf(matrix-1591, plain, ( ~class_Groups_Ogroup__add(_u1721) | ( _u1722 != c_Groups_Ozero__class_Ozero(_u1721)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1721), _u1722) = c_Groups_Ozero__class_Ozero(_u1721)) )).
% 13.06/13.30 cnf(matrix-1592, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1723) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1723), _u1724) != _u1724) | ( _u1724 = c_Groups_Ozero__class_Ozero(_u1723)) )).
% 13.06/13.30 cnf(matrix-1593, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1723) | ( _u1724 != c_Groups_Ozero__class_Ozero(_u1723)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1723), _u1724) = _u1724) )).
% 13.06/13.30 cnf(matrix-1594, plain, ( ~class_Groups_Oordered__ab__group__add(_u1725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1726), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1727), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1726))) )).
% 13.06/13.30 cnf(matrix-1595, plain, ( ~class_Groups_Oordered__ab__group__add(_u1725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1727), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1725), _u1726), hAPP(c_Groups_Ouminus__class_Ouminus(_u1725), _u1727))) )).
% 13.06/13.30 cnf(matrix-1596, plain, ( ~class_Groups_Oordered__ab__group__add(_u1728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1729)), _u1730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1730)), _u1729)) )).
% 13.06/13.30 cnf(matrix-1597, plain, ( ~class_Groups_Oordered__ab__group__add(_u1728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1730)), _u1729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1728), hAPP(c_Groups_Ouminus__class_Ouminus(_u1728), _u1729)), _u1730)) )).
% 13.06/13.30 cnf(matrix-1598, plain, ( ~class_Groups_Oordered__ab__group__add(_u1731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1732)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), _u1733), _u1732)) )).
% 13.06/13.30 cnf(matrix-1599, plain, ( ~class_Groups_Oordered__ab__group__add(_u1731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), _u1733), _u1732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1731), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1732)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1731), _u1733))) )).
% 13.06/13.30 cnf(matrix-1600, plain, ( ~class_Groups_Oab__group__add(_u1734) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1734), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1734), _u1735), _u1736)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1734), hAPP(c_Groups_Ouminus__class_Ouminus(_u1734), _u1735)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1734), _u1736))) )).
% 13.06/13.30 cnf(matrix-1601, plain, ( ~class_Groups_Ogroup__add(_u1737) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1737), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1737), _u1738), _u1739)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1737), hAPP(c_Groups_Ouminus__class_Ouminus(_u1737), _u1739)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1737), _u1738))) )).
% 13.06/13.30 cnf(matrix-1602, plain, ( ~class_Groups_Ogroup__add(_u1740) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1740), _u1741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1740), hAPP(c_Groups_Ouminus__class_Ouminus(_u1740), _u1741)), _u1742)) = _u1742) )).
% 13.06/13.30 cnf(matrix-1603, plain, ( ~class_Groups_Ogroup__add(_u1743) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1743), hAPP(c_Groups_Ouminus__class_Ouminus(_u1743), _u1744)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1743), _u1744), _u1745)) = _u1745) )).
% 13.06/13.30 cnf(matrix-1604, plain, ( ~class_Rings_Ocomm__semiring__1(_u1746) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1746), c_Groups_Ozero__class_Ozero(_u1746)), _u1747) = c_Groups_Ozero__class_Ozero(_u1746)) )).
% 13.06/13.30 cnf(matrix-1605, plain, ( ~class_Rings_Ocomm__semiring__1(_u1748) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1748), _u1749), c_Groups_Ozero__class_Ozero(_u1748)) = c_Groups_Ozero__class_Ozero(_u1748)) )).
% 13.06/13.30 cnf(matrix-1606, plain, ( ~class_Rings_Omult__zero(_u1750) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1750), c_Groups_Ozero__class_Ozero(_u1750)), _u1751) = c_Groups_Ozero__class_Ozero(_u1750)) )).
% 13.06/13.30 cnf(matrix-1607, plain, ( ~class_Rings_Omult__zero(_u1752) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1752), _u1753), c_Groups_Ozero__class_Ozero(_u1752)) = c_Groups_Ozero__class_Ozero(_u1752)) )).
% 13.06/13.30 cnf(matrix-1608, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), _u1756) != c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1755 = c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1756 = c_Groups_Ozero__class_Ozero(_u1754)) )).
% 13.06/13.30 cnf(matrix-1609, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), _u1756) = c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1755 != c_Groups_Ozero__class_Ozero(_u1754)) )).
% 13.06/13.30 cnf(matrix-1610, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), _u1756) = c_Groups_Ozero__class_Ozero(_u1754)) | ( _u1756 != c_Groups_Ozero__class_Ozero(_u1754)) )).
% 13.06/13.30 cnf(matrix-1611, plain, ( ~class_Rings_Ono__zero__divisors(_u1757) | ( _u1758 = c_Groups_Ozero__class_Ozero(_u1757)) | ( _u1759 = c_Groups_Ozero__class_Ozero(_u1757)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1757), _u1758), _u1759) != c_Groups_Ozero__class_Ozero(_u1757)) )).
% 13.06/13.30 cnf(matrix-1612, plain, ( ~class_Rings_Ono__zero__divisors(_u1760) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1760), _u1761), _u1762) != c_Groups_Ozero__class_Ozero(_u1760)) | ( _u1761 = c_Groups_Ozero__class_Ozero(_u1760)) | ( _u1762 = c_Groups_Ozero__class_Ozero(_u1760)) )).
% 13.06/13.30 cnf(matrix-1613, plain, ( ~class_Rings_Ozero__neq__one(_u1763) | ( c_Groups_Oone__class_Oone(_u1763) != c_Groups_Ozero__class_Ozero(_u1763)) )).
% 13.06/13.30 cnf(matrix-1614, plain, ( ~class_Rings_Ozero__neq__one(_u1764) | ( c_Groups_Ozero__class_Ozero(_u1764) != c_Groups_Oone__class_Oone(_u1764)) )).
% 13.06/13.30 cnf(matrix-1615, 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)) )).
% 13.06/13.30 cnf(matrix-1616, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1765)) = _u1765) )).
% 13.06/13.30 cnf(matrix-1617, plain, ( ~class_Rings_Ocomm__semiring__1(_u1766) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1766), _u1767), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1766), _u1768), _u1769)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1766), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1766), _u1767), _u1768)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1766), _u1767), _u1769))) )).
% 13.06/13.30 cnf(matrix-1618, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1770) | ( _u1771 = _u1772) | ( _u1773 = _u1774) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1774)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1773))) )).
% 13.06/13.30 cnf(matrix-1619, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1770) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1774)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1773))) | ( _u1771 != _u1772) )).
% 13.06/13.30 cnf(matrix-1620, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1770) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1774)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1773))) | ( _u1773 != _u1774) )).
% 13.06/13.30 cnf(matrix-1621, plain, ( ~class_Rings_Ocomm__semiring__1(_u1775) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1775), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1775), _u1776), _u1777)), _u1778) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1775), _u1776), _u1778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1775), _u1777), _u1778))) )).
% 13.06/13.30 cnf(matrix-1622, plain, ( ~class_Rings_Ocomm__semiring__1(_u1779) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), _u1780), _u1781)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), _u1782), _u1781)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1779), _u1780), _u1782)), _u1781)) )).
% 13.06/13.30 cnf(matrix-1623, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1783) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1787)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1785))) | ( _u1784 = _u1786) | ( _u1785 = _u1787) )).
% 13.06/13.30 cnf(matrix-1624, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1783) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1785))) | ( _u1784 != _u1786) )).
% 13.06/13.30 cnf(matrix-1625, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1783) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1784), _u1787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1783), _u1786), _u1785))) | ( _u1785 != _u1787) )).
% 13.06/13.30 cnf(matrix-1626, plain, ( ~class_Rings_Ocomm__semiring(_u1788) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1788), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1788), _u1789), _u1790)), _u1791) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1788), _u1789), _u1791)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1788), _u1790), _u1791))) )).
% 13.06/13.30 cnf(matrix-1627, plain, ( ~class_Rings_Osemiring(_u1792) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1792), _u1793), _u1794)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1792), _u1795), _u1794)), _u1796)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1792), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1792), _u1793), _u1795)), _u1794)), _u1796)) )).
% 13.06/13.30 cnf(matrix-1628, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1797), _u1798)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1797)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1798))) )).
% 13.06/13.30 cnf(matrix-1629, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1799), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1800), _u1801)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1799), _u1800)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1799), _u1801))) )).
% 13.06/13.30 cnf(matrix-1630, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1802), _u1803)), _u1804) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1802), _u1804)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1803), _u1804))) )).
% 13.06/13.30 cnf(matrix-1631, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1632, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1805)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1805)) )).
% 13.06/13.30 cnf(matrix-1633, 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, _u1807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1807)) )).
% 13.06/13.30 cnf(matrix-1634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1808)) | 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, _u1808))) )).
% 13.06/13.30 cnf(matrix-1635, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), hAPP(c_Groups_Ouminus__class_Ouminus(_u1809), _u1810)), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), c_Groups_Ozero__class_Ozero(_u1809)), _u1810)) )).
% 13.06/13.30 cnf(matrix-1636, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), c_Groups_Ozero__class_Ozero(_u1809)), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), hAPP(c_Groups_Ouminus__class_Ouminus(_u1809), _u1810)), _u1810)) )).
% 13.06/13.30 cnf(matrix-1637, plain, ( ~class_Groups_Oordered__ab__group__add(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), hAPP(c_Groups_Ouminus__class_Ouminus(_u1811), _u1812)), c_Groups_Ozero__class_Ozero(_u1811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), c_Groups_Ozero__class_Ozero(_u1811)), _u1812)) )).
% 13.06/13.30 cnf(matrix-1638, plain, ( ~class_Groups_Oordered__ab__group__add(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), c_Groups_Ozero__class_Ozero(_u1811)), _u1812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), hAPP(c_Groups_Ouminus__class_Ouminus(_u1811), _u1812)), c_Groups_Ozero__class_Ozero(_u1811))) )).
% 13.06/13.30 cnf(matrix-1639, plain, ( ~class_Groups_Oordered__ab__group__add(_u1813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), c_Groups_Ozero__class_Ozero(_u1813)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1813), _u1814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1814), c_Groups_Ozero__class_Ozero(_u1813))) )).
% 13.06/13.30 cnf(matrix-1640, plain, ( ~class_Groups_Oordered__ab__group__add(_u1813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1814), c_Groups_Ozero__class_Ozero(_u1813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), c_Groups_Ozero__class_Ozero(_u1813)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1813), _u1814))) )).
% 13.06/13.30 cnf(matrix-1641, plain, ( ~class_Rings_Olinordered__idom(_u1815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), hAPP(c_Groups_Ouminus__class_Ouminus(_u1815), _u1816))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), c_Groups_Ozero__class_Ozero(_u1815))) )).
% 13.06/13.30 cnf(matrix-1642, plain, ( ~class_Rings_Olinordered__idom(_u1815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), c_Groups_Ozero__class_Ozero(_u1815))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1815), _u1816), hAPP(c_Groups_Ouminus__class_Ouminus(_u1815), _u1816))) )).
% 13.06/13.30 cnf(matrix-1643, plain, ( ~class_Groups_Ogroup__add(_u1817) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1817), _u1818), _u1819) != c_Groups_Ozero__class_Ozero(_u1817)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1817), _u1818) = _u1819) )).
% 13.06/13.30 cnf(matrix-1644, plain, ( ~class_Groups_Oab__group__add(_u1820) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1820), hAPP(c_Groups_Ouminus__class_Ouminus(_u1820), _u1821)), _u1821) = c_Groups_Ozero__class_Ozero(_u1820)) )).
% 13.06/13.30 cnf(matrix-1645, plain, ( ~class_Groups_Ogroup__add(_u1822) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1822), hAPP(c_Groups_Ouminus__class_Ouminus(_u1822), _u1823)), _u1823) = c_Groups_Ozero__class_Ozero(_u1822)) )).
% 13.06/13.30 cnf(matrix-1646, plain, ( ~class_Groups_Ogroup__add(_u1824) | ( _u1825 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1824), _u1826)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1824), _u1825), _u1826) = c_Groups_Ozero__class_Ozero(_u1824)) )).
% 13.06/13.30 cnf(matrix-1647, plain, ( ~class_Groups_Ogroup__add(_u1824) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1824), _u1825), _u1826) != c_Groups_Ozero__class_Ozero(_u1824)) | ( _u1825 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1824), _u1826)) )).
% 13.06/13.30 cnf(matrix-1648, plain, ( ~class_Groups_Ogroup__add(_u1827) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1827), _u1828), hAPP(c_Groups_Ouminus__class_Ouminus(_u1827), _u1828)) = c_Groups_Ozero__class_Ozero(_u1827)) )).
% 13.06/13.30 cnf(matrix-1649, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1650, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1651, plain, ( ~class_Rings_Olinordered__ring__strict(_u1829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1830), _u1831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1832), c_Groups_Ozero__class_Ozero(_u1829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1829), _u1832), _u1831)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1829), _u1832), _u1830))) )).
% 13.06/13.30 cnf(matrix-1652, plain, ( ~class_Rings_Olinordered__ring__strict(_u1833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1833), _u1834), _u1835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1833), _u1836), c_Groups_Ozero__class_Ozero(_u1833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1833), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1833), _u1835), _u1836)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1833), _u1834), _u1836))) )).
% 13.06/13.30 cnf(matrix-1653, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u1837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1837), _u1838), _u1839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1837), c_Groups_Ozero__class_Ozero(_u1837)), _u1840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1837), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1837), _u1840), _u1838)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1837), _u1840), _u1839))) )).
% 13.06/13.30 cnf(matrix-1654, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), c_Groups_Ozero__class_Ozero(_u1841)), _u1844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1844), _u1842)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1841), _u1844), _u1843))) )).
% 13.06/13.30 cnf(matrix-1655, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1845), _u1846), _u1847)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1845), c_Groups_Ozero__class_Ozero(_u1845)), _u1848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1845), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1845), _u1846), _u1848)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1845), _u1847), _u1848))) )).
% 13.06/13.30 cnf(matrix-1656, plain, ( ~class_Rings_Olinordered__ring__strict(_u1849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1849), _u1850), c_Groups_Ozero__class_Ozero(_u1849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1849), _u1851), c_Groups_Ozero__class_Ozero(_u1849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1849), c_Groups_Ozero__class_Ozero(_u1849)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1849), _u1850), _u1851))) )).
% 13.06/13.30 cnf(matrix-1657, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), _u1853), c_Groups_Ozero__class_Ozero(_u1852))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), c_Groups_Ozero__class_Ozero(_u1852)), _u1854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1852), _u1853), _u1854)), c_Groups_Ozero__class_Ozero(_u1852))) )).
% 13.06/13.30 cnf(matrix-1658, plain, ( ~class_Rings_Olinordered__ring__strict(_u1855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1856), c_Groups_Ozero__class_Ozero(_u1855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1857)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1858), _u1857)) )).
% 13.06/13.30 cnf(matrix-1659, plain, ( ~class_Rings_Olinordered__ring__strict(_u1855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1856), c_Groups_Ozero__class_Ozero(_u1855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), _u1858), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1857)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1855), _u1856), _u1858))) )).
% 13.06/13.30 cnf(matrix-1660, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1859), c_Groups_Ozero__class_Ozero(_u1859)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1859), _u1860), _u1861))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1859), c_Groups_Ozero__class_Ozero(_u1859)), _u1861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1859), c_Groups_Ozero__class_Ozero(_u1859)), _u1860)) )).
% 13.06/13.30 cnf(matrix-1661, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1862) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1862), c_Groups_Ozero__class_Ozero(_u1862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1862), _u1863), _u1864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1862), c_Groups_Ozero__class_Ozero(_u1862)), _u1863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1862), c_Groups_Ozero__class_Ozero(_u1862)), _u1864)) )).
% 13.06/13.30 cnf(matrix-1662, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), c_Groups_Ozero__class_Ozero(_u1865)), _u1866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), _u1867), c_Groups_Ozero__class_Ozero(_u1865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1867), _u1866)), c_Groups_Ozero__class_Ozero(_u1865))) )).
% 13.06/13.30 cnf(matrix-1663, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1868), c_Groups_Ozero__class_Ozero(_u1868)), _u1869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1868), _u1870), c_Groups_Ozero__class_Ozero(_u1868))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1868), _u1869), _u1870)), c_Groups_Ozero__class_Ozero(_u1868))) )).
% 13.06/13.30 cnf(matrix-1664, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1871) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1871), c_Groups_Ozero__class_Ozero(_u1871)), _u1872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1871), c_Groups_Ozero__class_Ozero(_u1871)), _u1873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1871), c_Groups_Ozero__class_Ozero(_u1871)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1871), _u1872), _u1873))) )).
% 13.06/13.30 cnf(matrix-1665, plain, ( ~class_Rings_Olinordered__ring__strict(_u1874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), c_Groups_Ozero__class_Ozero(_u1874)), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), _u1876), _u1877)) )).
% 13.06/13.30 cnf(matrix-1666, plain, ( ~class_Rings_Olinordered__ring__strict(_u1874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), c_Groups_Ozero__class_Ozero(_u1874)), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), _u1876), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1874), _u1875), _u1877))) )).
% 13.06/13.30 cnf(matrix-1667, plain, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), c_Groups_Ozero__class_Ozero(_u1878)), _u1879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), c_Groups_Ozero__class_Ozero(_u1878))) )).
% 13.06/13.30 cnf(matrix-1668, plain, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), c_Groups_Ozero__class_Ozero(_u1878)), _u1879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1881), _u1880)) )).
% 13.06/13.30 cnf(matrix-1669, plain, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1880), _u1881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), c_Groups_Ozero__class_Ozero(_u1878))) )).
% 13.06/13.30 cnf(matrix-1670, plain, ( ~class_Rings_Olinordered__ring__strict(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1880), _u1881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1881), _u1880)) )).
% 13.06/13.30 cnf(matrix-1671, plain, ( ~class_Rings_Olinordered__ring__strict(_u1878) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), c_Groups_Ozero__class_Ozero(_u1878)), _u1879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1880), _u1881)) )).
% 13.06/13.30 cnf(matrix-1672, plain, ( ~class_Rings_Olinordered__ring__strict(_u1878) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1880)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1878), _u1879), _u1881))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), c_Groups_Ozero__class_Ozero(_u1878))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1881), _u1880)) )).
% 13.06/13.30 cnf(matrix-1673, plain, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), c_Groups_Ozero__class_Ozero(_u1882)), _u1884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1884), c_Groups_Ozero__class_Ozero(_u1882))) )).
% 13.06/13.30 cnf(matrix-1674, plain, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), c_Groups_Ozero__class_Ozero(_u1882)), _u1884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1885), _u1883)) )).
% 13.06/13.30 cnf(matrix-1675, plain, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1884), c_Groups_Ozero__class_Ozero(_u1882))) )).
% 13.06/13.30 cnf(matrix-1676, plain, ( ~class_Rings_Olinordered__ring__strict(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1885)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1885), _u1883)) )).
% 13.06/13.30 cnf(matrix-1677, plain, ( ~class_Rings_Olinordered__ring__strict(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), c_Groups_Ozero__class_Ozero(_u1882)), _u1884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1883), _u1885)) )).
% 13.06/13.30 cnf(matrix-1678, plain, ( ~class_Rings_Olinordered__ring__strict(_u1882) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1883), _u1884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1882), _u1885), _u1884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1884), c_Groups_Ozero__class_Ozero(_u1882))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1882), _u1885), _u1883)) )).
% 13.06/13.30 cnf(matrix-1679, plain, ( ~class_Rings_Olinordered__ring(_u1886) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1886), _u1887), _u1887)), c_Groups_Ozero__class_Ozero(_u1886))) )).
% 13.06/13.30 cnf(matrix-1680, plain, ( ~class_Rings_Olinordered__semidom(_u1888) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), c_Groups_Ozero__class_Ozero(_u1888)), c_Groups_Oone__class_Oone(_u1888))) )).
% 13.06/13.30 cnf(matrix-1681, plain, ( ~class_Rings_Olinordered__semidom(_u1889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1889), c_Groups_Oone__class_Oone(_u1889)), c_Groups_Ozero__class_Ozero(_u1889))) )).
% 13.06/13.30 cnf(matrix-1682, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1890) | ( _u1891 = c_Groups_Ozero__class_Ozero(_u1890)) | ( _u1892 != _u1893) | ( _u1894 = _u1895) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1890), _u1892), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1890), _u1891), _u1894)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1890), _u1893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1890), _u1891), _u1895))) )).
% 13.06/13.30 cnf(matrix-1683, plain, ( ~class_Rings_Olinordered__ring__strict(_u1896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1898), _u1898)) != c_Groups_Ozero__class_Ozero(_u1896)) | ( _u1897 = c_Groups_Ozero__class_Ozero(_u1896)) )).
% 13.06/13.30 cnf(matrix-1684, plain, ( ~class_Rings_Olinordered__ring__strict(_u1896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1898), _u1898)) != c_Groups_Ozero__class_Ozero(_u1896)) | ( _u1898 = c_Groups_Ozero__class_Ozero(_u1896)) )).
% 13.06/13.30 cnf(matrix-1685, plain, ( ~class_Rings_Olinordered__ring__strict(_u1896) | ( _u1897 != c_Groups_Ozero__class_Ozero(_u1896)) | ( _u1898 != c_Groups_Ozero__class_Ozero(_u1896)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1898), _u1898)) = c_Groups_Ozero__class_Ozero(_u1896)) )).
% 13.06/13.30 cnf(matrix-1686, plain, ( ~class_Rings_Olinordered__semidom(_u1899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1899), _u1900), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1899), _u1900), c_Groups_Oone__class_Oone(_u1899)))) )).
% 13.06/13.30 cnf(matrix-1687, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1901)), _u1901) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1688, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1904)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1906)) | ( _u1904 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1689, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1904)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1906)) | ( _u1906 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1690, plain, ( ( _u1905 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1907 != 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), _u1905)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1907)) )).
% 13.06/13.30 cnf(matrix-1691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1908)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1909)))) )).
% 13.06/13.30 cnf(matrix-1692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1910), _u1911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1912), _u1910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1912), _u1911))) )).
% 13.06/13.30 cnf(matrix-1693, 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))) )).
% 13.06/13.30 cnf(matrix-1694, 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)), _u1913)), _u1913) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1916), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1918), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1916), _u1918)) | ( _u1916 = _u1918) )).
% 13.06/13.30 cnf(matrix-1696, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1919), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1917), _u1919)) )).
% 13.06/13.30 cnf(matrix-1697, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1919), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u1917 != _u1919) )).
% 13.06/13.30 cnf(matrix-1698, plain, ( ~class_Rings_Oring__1(_u1920) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1920), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u1920)) )).
% 13.06/13.30 cnf(matrix-1699, plain, ( ~class_Int_Oring__char__0(_u1921) | ( c_Groups_Ozero__class_Ozero(_u1921) != hAPP(c_Int_Oring__1__class_Oof__int(_u1921), _u1922)) | ( _u1922 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1700, plain, ( ~class_Int_Oring__char__0(_u1921) | ( _u1922 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u1921) = hAPP(c_Int_Oring__1__class_Oof__int(_u1921), _u1922)) )).
% 13.06/13.30 cnf(matrix-1701, plain, ( ~class_Int_Oring__char__0(_u1923) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1923), _u1924) != c_Groups_Ozero__class_Ozero(_u1923)) | ( _u1924 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1702, plain, ( ~class_Int_Oring__char__0(_u1923) | ( _u1924 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1923), _u1924) = c_Groups_Ozero__class_Ozero(_u1923)) )).
% 13.06/13.30 cnf(matrix-1703, plain, ( ~class_Rings_Olinordered__idom(_u1925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1925), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1926)), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1927))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1926), _u1927)) )).
% 13.06/13.30 cnf(matrix-1704, plain, ( ~class_Rings_Olinordered__idom(_u1925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1926), _u1927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1925), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1926)), hAPP(c_Int_Oring__1__class_Oof__int(_u1925), _u1927))) )).
% 13.06/13.30 cnf(matrix-1705, plain, ( ~class_Rings_Oring__1(_u1928) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1928), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1929), _u1930)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1928), hAPP(c_Int_Oring__1__class_Oof__int(_u1928), _u1929)), hAPP(c_Int_Oring__1__class_Oof__int(_u1928), _u1930))) )).
% 13.06/13.30 cnf(matrix-1706, plain, ( ~class_Rings_Oring__1(_u1931) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1931), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1932)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1931), _u1932)) )).
% 13.06/13.30 cnf(matrix-1707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1935)), hAPP(c_Int_Onat, _u1937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1937)) )).
% 13.06/13.30 cnf(matrix-1708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1935)), hAPP(c_Int_Onat, _u1937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1935), _u1937)) )).
% 13.06/13.30 cnf(matrix-1709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1936), _u1938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1936)), hAPP(c_Int_Onat, _u1938))) )).
% 13.06/13.30 cnf(matrix-1710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1940)), hAPP(c_Int_Onat, _u1939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1940), _u1939)) )).
% 13.06/13.30 cnf(matrix-1711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1940), _u1939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1940)), hAPP(c_Int_Onat, _u1939))) )).
% 13.06/13.30 cnf(matrix-1712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1943), hAPP(c_Int_Onat, _u1945))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1943)), _u1945)) )).
% 13.06/13.30 cnf(matrix-1713, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1944)), _u1946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1944), hAPP(c_Int_Onat, _u1946))) )).
% 13.06/13.30 cnf(matrix-1714, plain, ( ~class_Rings_Olinordered__ring(_u1947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1947), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1947), _u1948), _u1948)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1947), _u1949), _u1949))), c_Groups_Ozero__class_Ozero(_u1947))) )).
% 13.06/13.30 cnf(matrix-1715, plain, ( ~class_Rings_Olinordered__ring__strict(_u1950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), c_Groups_Ozero__class_Ozero(_u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1951), _u1951)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1952)))) | ( _u1951 != c_Groups_Ozero__class_Ozero(_u1950)) | ( _u1952 != c_Groups_Ozero__class_Ozero(_u1950)) )).
% 13.06/13.30 cnf(matrix-1716, plain, ( ~class_Rings_Olinordered__ring__strict(_u1950) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), c_Groups_Ozero__class_Ozero(_u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1951), _u1951)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1952)))) | ( _u1951 = c_Groups_Ozero__class_Ozero(_u1950)) )).
% 13.06/13.30 cnf(matrix-1717, plain, ( ~class_Rings_Olinordered__ring__strict(_u1950) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), c_Groups_Ozero__class_Ozero(_u1950)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1951), _u1951)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1952)))) | ( _u1952 = c_Groups_Ozero__class_Ozero(_u1950)) )).
% 13.06/13.30 cnf(matrix-1718, plain, ( ~class_Rings_Olinordered__semidom(_u1953) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1953), c_Groups_Ozero__class_Ozero(_u1953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1953), c_Groups_Oone__class_Oone(_u1953)), c_Groups_Oone__class_Oone(_u1953)))) )).
% 13.06/13.30 cnf(matrix-1719, plain, ( ~class_Rings_Osemiring__1(_u1954) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1954), hAPP(c_Nat_OSuc, _u1955)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1954), c_Groups_Oone__class_Oone(_u1954)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1954), _u1955))) )).
% 13.06/13.30 cnf(matrix-1720, 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)) )).
% 13.06/13.30 cnf(matrix-1721, plain, ( ( c_Int_Onat__aux(_u1956, _u1957) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1956)), _u1957)) )).
% 13.06/13.30 cnf(matrix-1722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1959), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u1959 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem39(_u1959))))) )).
% 13.06/13.30 cnf(matrix-1723, plain, ( ~class_Groups_Osgn__if(_u1960) | ( _u1961 != c_Groups_Ozero__class_Ozero(_u1960)) | ( c_Groups_Osgn__class_Osgn(_u1960, _u1961) = c_Groups_Ozero__class_Ozero(_u1960)) )).
% 13.06/13.30 cnf(matrix-1724, plain, ( ~class_Groups_Osgn__if(_u1960) | ( _u1961 = c_Groups_Ozero__class_Ozero(_u1960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1960), c_Groups_Ozero__class_Ozero(_u1960)), _u1961)) | ( c_Groups_Osgn__class_Osgn(_u1960, _u1961) = c_Groups_Oone__class_Oone(_u1960)) )).
% 13.06/13.30 cnf(matrix-1725, plain, ( ~class_Groups_Osgn__if(_u1960) | ( _u1961 = c_Groups_Ozero__class_Ozero(_u1960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1960), c_Groups_Ozero__class_Ozero(_u1960)), _u1961)) | ( c_Groups_Osgn__class_Osgn(_u1960, _u1961) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1960), c_Groups_Oone__class_Oone(_u1960))) )).
% 13.06/13.30 cnf(matrix-1726, plain, ( ~class_Rings_Olinordered__idom(_u1962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1962), _u1963), c_Groups_Ozero__class_Ozero(_u1962))) | ( c_Groups_Osgn__class_Osgn(_u1962, _u1963) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1962), c_Groups_Oone__class_Oone(_u1962))) )).
% 13.06/13.30 cnf(matrix-1727, plain, ( ~class_Rings_Olinordered__idom(_u1964) | ( c_Groups_Osgn__class_Osgn(_u1964, _u1965) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1964), c_Groups_Oone__class_Oone(_u1964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1964), _u1965), c_Groups_Ozero__class_Ozero(_u1964))) )).
% 13.06/13.30 cnf(matrix-1728, plain, ( ~class_Rings_Olinordered__idom(_u1964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1964), _u1965), c_Groups_Ozero__class_Ozero(_u1964))) | ( c_Groups_Osgn__class_Osgn(_u1964, _u1965) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1964), c_Groups_Oone__class_Oone(_u1964))) )).
% 13.06/13.30 cnf(matrix-1729, plain, ( ( _u1967 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1967) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1730, plain, ( ( _u1968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1968)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1968) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-1731, plain, ( ( _u1968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1968)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1968) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1969)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u1969)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1969))) )).
% 13.06/13.30 cnf(matrix-1733, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1970)), _u1971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1970), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1971))) )).
% 13.06/13.30 cnf(matrix-1734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1970), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1970)), _u1971)) )).
% 13.06/13.30 cnf(matrix-1735, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u1972) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), _u1973), _u1974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), _u1975), _u1974)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1972), c_Groups_Ozero__class_Ozero(_u1972)), _u1976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1972), c_Groups_Ozero__class_Ozero(_u1972)), _u1977)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), _u1976), _u1977) != c_Groups_Oone__class_Oone(_u1972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1972), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1972), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1972), _u1976), _u1973)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1972), _u1977), _u1975))), _u1974)) )).
% 13.06/13.30 cnf(matrix-1736, plain, ( ~class_Rings_Olinordered__idom(_u1978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1978), c_Groups_Ozero__class_Ozero(_u1978)), _u1979)) | ( c_Groups_Osgn__class_Osgn(_u1978, _u1979) = c_Groups_Oone__class_Oone(_u1978)) )).
% 13.06/13.30 cnf(matrix-1737, plain, ( ~class_Orderings_Opreorder(_u1980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1980), _u1981), _u1981)) )).
% 13.06/13.30 cnf(matrix-1738, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1982)) )).
% 13.06/13.30 cnf(matrix-1739, 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), _u1983))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1984))) )).
% 13.06/13.30 cnf(matrix-1740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1985), _u1986)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1987), _u1988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1985), _u1987)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1986), _u1988))) )).
% 13.06/13.30 cnf(matrix-1741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1989), _u1990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1991), _u1989)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1991), _u1990))) )).
% 13.06/13.30 cnf(matrix-1742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1992), _u1993)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1992), _u1994)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1993), _u1994))) )).
% 13.06/13.30 cnf(matrix-1743, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1995), _u1996)), _u1997) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1996), _u1997))) )).
% 13.06/13.30 cnf(matrix-1744, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2000), _u2002) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2000 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1745, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2000), _u2002) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2002 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1746, plain, ( ( _u2001 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2003 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2001), _u2003) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1747, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2004), _u2005) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2005), _u2004)) )).
% 13.06/13.30 cnf(matrix-1748, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2006), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2006) )).
% 13.06/13.30 cnf(matrix-1749, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2009), _u2011)) | ( _u2009 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1750, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2009), _u2011)) | ( _u2011 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1751, plain, ( ( _u2010 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2012 != 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), _u2010), _u2012)) )).
% 13.06/13.30 cnf(matrix-1752, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2013) = _u2013) )).
% 13.06/13.30 cnf(matrix-1753, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2014), _u2014)))) )).
% 13.06/13.30 cnf(matrix-1754, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2015), _u2015))) )).
% 13.06/13.30 cnf(matrix-1755, plain, ( ( _u2016 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2016), _u2017)) | ( _u2017 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2016 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1756, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2018), _u2018)) )).
% 13.06/13.30 cnf(matrix-1757, plain, ( ~class_Rings_Olinordered__idom(_u2019) | ( c_Groups_Osgn__class_Osgn(_u2019, c_Groups_Osgn__class_Osgn(_u2019, _u2020)) = c_Groups_Osgn__class_Osgn(_u2019, _u2020)) )).
% 13.06/13.30 cnf(matrix-1758, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2021), _u2022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2022), _u2021)) )).
% 13.06/13.30 cnf(matrix-1759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2023), _u2024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2024), _u2025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2023), _u2025)) )).
% 13.06/13.30 cnf(matrix-1760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2026), _u2027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2027), _u2026)) | ( _u2026 = _u2027) )).
% 13.06/13.30 cnf(matrix-1761, plain, ( ~class_Orderings_Oord(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2031, _u2030)), _u2032), _u2033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), hAPP(_u2032, _u2028)), hAPP(_u2033, _u2028))) )).
% 13.06/13.30 cnf(matrix-1762, plain, ( ~class_Orderings_Oord(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), hAPP(_u2032, skolem40(_u2033, _u2032, _u2031, _u2030))), hAPP(_u2033, skolem40(_u2033, _u2032, _u2031, _u2030)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2031, _u2030)), _u2032), _u2033)) )).
% 13.06/13.30 cnf(matrix-1763, plain, ( ~class_Orderings_Olinorder(_u2034) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2034), _u2035), _u2036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2034), _u2036), _u2035)) )).
% 13.06/13.30 cnf(matrix-1764, plain, ( ~class_Orderings_Oorder(_u2037) | ( _u2038 != _u2039) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2038), _u2039)) )).
% 13.06/13.30 cnf(matrix-1765, plain, ( ~class_Orderings_Oorder(_u2037) | ( _u2038 != _u2039) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2039), _u2038)) )).
% 13.06/13.30 cnf(matrix-1766, plain, ( ~class_Orderings_Oorder(_u2037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2038), _u2039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2037), _u2039), _u2038)) | ( _u2038 = _u2039) )).
% 13.06/13.30 cnf(matrix-1767, plain, ( ~class_Orderings_Opreorder(_u2040) | ( _u2041 != _u2042) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2040), _u2041), _u2042)) )).
% 13.06/13.30 cnf(matrix-1768, plain, ( ~class_Orderings_Oord(_u2043) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2044, _u2043)), _u2045), _u2046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2043), hAPP(_u2045, _u2047)), hAPP(_u2046, _u2047))) )).
% 13.06/13.30 cnf(matrix-1769, plain, ( ~class_Orderings_Oorder(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2049), _u2050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2050), _u2049)) | ( _u2050 = _u2049) )).
% 13.06/13.30 cnf(matrix-1770, plain, ( ~class_Orderings_Oorder(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2049), _u2050)) | ( _u2050 != _u2049) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2048), _u2050), _u2049)) )).
% 13.06/13.30 cnf(matrix-1771, plain, ( ~class_Orderings_Oord(_u2051) | ( _u2052 != _u2053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2051), _u2053), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2051), _u2052), _u2054)) )).
% 13.06/13.30 cnf(matrix-1772, plain, ( ~class_Orderings_Oorder(_u2055) | ( _u2056 != _u2057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2055), _u2058), _u2057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2055), _u2058), _u2056)) )).
% 13.06/13.30 cnf(matrix-1773, plain, ( ~class_Orderings_Oord(_u2059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), _u2061)) | ( _u2061 != _u2062) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), _u2062)) )).
% 13.06/13.30 cnf(matrix-1774, plain, ( ~class_Orderings_Oorder(_u2063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2063), _u2064), _u2065)) | ( _u2064 != _u2066) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2063), _u2066), _u2065)) )).
% 13.06/13.30 cnf(matrix-1775, plain, ( ~class_Orderings_Oorder(_u2067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2067), _u2068), _u2069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2067), _u2069), _u2068)) | ( _u2068 = _u2069) )).
% 13.06/13.30 cnf(matrix-1776, plain, ( ~class_Orderings_Opreorder(_u2070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2070), _u2071), _u2072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2070), _u2072), _u2073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2070), _u2071), _u2073)) )).
% 13.06/13.30 cnf(matrix-1777, plain, ( ~class_Orderings_Oorder(_u2074) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2074), _u2075), _u2076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2074), _u2076), _u2075)) | ( _u2076 = _u2075) )).
% 13.06/13.30 cnf(matrix-1778, plain, ( ~class_Orderings_Oorder(_u2077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2077), _u2078), _u2079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2077), _u2080), _u2078)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2077), _u2080), _u2079)) )).
% 13.06/13.30 cnf(matrix-1779, plain, ( ~class_Orderings_Oord(_u2081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2082, _u2081)), _u2083), _u2084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2081), hAPP(_u2083, _u2085)), hAPP(_u2084, _u2085))) )).
% 13.06/13.30 cnf(matrix-1780, plain, ( ~class_Orderings_Olinorder(_u2086) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2086), _u2087), _u2088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2086), _u2088), _u2087)) )).
% 13.06/13.30 cnf(matrix-1781, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2094), _u2096)) | ~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, _u2092)), _u2094)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2092)), _u2096))) )).
% 13.06/13.30 cnf(matrix-1782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2095), _u2097)) | 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, _u2093)), _u2095)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2093)), _u2097))) )).
% 13.06/13.30 cnf(matrix-1783, plain, ( ~class_Rings_Olinordered__semidom(_u2098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2098), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2099), _u2100)) )).
% 13.06/13.30 cnf(matrix-1784, plain, ( ~class_Rings_Olinordered__semidom(_u2098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2099), _u2100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2098), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2098), _u2100))) )).
% 13.06/13.30 cnf(matrix-1785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2103)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2103), _u2105)) )).
% 13.06/13.30 cnf(matrix-1786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2104), _u2106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2104)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2106))) )).
% 13.06/13.30 cnf(matrix-1787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2109)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2109), _u2111)) )).
% 13.06/13.30 cnf(matrix-1788, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2110), _u2112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2110)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2112))) )).
% 13.06/13.30 cnf(matrix-1789, plain, ( ~class_Rings_Olinordered__idom(_u2113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2113), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2114)), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2115))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2114), _u2115)) )).
% 13.06/13.30 cnf(matrix-1790, plain, ( ~class_Rings_Olinordered__idom(_u2113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2114), _u2115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2113), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2114)), hAPP(c_Int_Oring__1__class_Oof__int(_u2113), _u2115))) )).
% 13.06/13.30 cnf(matrix-1791, 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), _u2118), _u2120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2118)) )).
% 13.06/13.30 cnf(matrix-1792, 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), _u2118), _u2120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2120)) )).
% 13.06/13.30 cnf(matrix-1793, 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))), _u2119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2121)) | 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), _u2119), _u2121))) )).
% 13.06/13.30 cnf(matrix-1794, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2125), _u2127)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2125), _u2129))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2127), _u2129)) )).
% 13.06/13.30 cnf(matrix-1795, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2126), _u2128)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2126), _u2130))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2126)) )).
% 13.06/13.30 cnf(matrix-1796, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2126), _u2128)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2126), _u2130))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2128), _u2130)) )).
% 13.06/13.30 cnf(matrix-1797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2134), _u2136)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2138), _u2136))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2134), _u2138)) )).
% 13.06/13.30 cnf(matrix-1798, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2135), _u2137)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2139), _u2137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2137)) )).
% 13.06/13.30 cnf(matrix-1799, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2135), _u2137)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2139), _u2137))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2135), _u2139)) )).
% 13.06/13.30 cnf(matrix-1800, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2140)), hAPP(c_Int_Onat, _u2141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2140), _u2141)) )).
% 13.06/13.30 cnf(matrix-1801, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2140), _u2141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2140)), hAPP(c_Int_Onat, _u2141))) )).
% 13.06/13.30 cnf(matrix-1802, plain, ( ~class_Orderings_Oorder(_u2142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2142), _u2143), _u2144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2142), _u2145), _u2143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2142), _u2145), _u2144)) )).
% 13.06/13.30 cnf(matrix-1803, plain, ( ~class_Orderings_Opreorder(_u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2146), _u2147), _u2148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2148), _u2149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2146), _u2147), _u2149)) )).
% 13.06/13.30 cnf(matrix-1804, plain, ( ~class_Orderings_Oorder(_u2150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), _u2151), _u2152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2150), _u2153), _u2151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2150), _u2153), _u2152)) )).
% 13.06/13.30 cnf(matrix-1805, plain, ( ~class_Orderings_Opreorder(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2154), _u2155), _u2156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), _u2157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2154), _u2155), _u2157)) )).
% 13.06/13.30 cnf(matrix-1806, plain, ( ~class_Orderings_Oorder(_u2158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2158), _u2159), _u2160)) | ( _u2160 = _u2159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2158), _u2159), _u2160)) )).
% 13.06/13.30 cnf(matrix-1807, plain, ( ~class_Orderings_Oorder(_u2161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2161), _u2162), _u2163)) | ( _u2162 = _u2163) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2161), _u2162), _u2163)) )).
% 13.06/13.30 cnf(matrix-1808, plain, ( ~class_Orderings_Oorder(_u2164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2164), _u2165), _u2166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2164), _u2165), _u2166)) | ( _u2165 = _u2166) )).
% 13.06/13.30 cnf(matrix-1809, plain, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2168), _u2169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2167), _u2168), _u2169)) | ( _u2168 = _u2169) )).
% 13.06/13.30 cnf(matrix-1810, plain, ( ~class_Orderings_Olinorder(_u2167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2167), _u2168), _u2169)) | ( _u2168 != _u2169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2167), _u2168), _u2169)) )).
% 13.06/13.30 cnf(matrix-1811, plain, ( ~class_Orderings_Opreorder(_u2170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2170), _u2171), _u2172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2170), _u2171), _u2172)) )).
% 13.06/13.30 cnf(matrix-1812, plain, ( ~class_Orderings_Olinorder(_u2173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), _u2175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2173), _u2175), _u2174)) )).
% 13.06/13.30 cnf(matrix-1813, plain, ( ~class_Orderings_Oorder(_u2176) | ( _u2177 = _u2178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2176), _u2178), _u2177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2176), _u2178), _u2177)) )).
% 13.06/13.30 cnf(matrix-1814, plain, ( ~class_Orderings_Oorder(_u2179) | ( _u2180 = _u2181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), _u2180), _u2181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2179), _u2180), _u2181)) )).
% 13.06/13.30 cnf(matrix-1815, plain, ( ~class_Orderings_Olinorder(_u2182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2182), _u2183), _u2184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2184)) | ( _u2183 = _u2184) )).
% 13.06/13.30 cnf(matrix-1816, plain, ( ~class_Orderings_Olinorder(_u2182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2182), _u2183), _u2184)) | ( _u2183 != _u2184) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2184)) )).
% 13.06/13.30 cnf(matrix-1817, plain, ( ~class_Orderings_Olinorder(_u2185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2185), _u2186), _u2187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2185), _u2187), _u2186)) )).
% 13.06/13.30 cnf(matrix-1818, plain, ( ~class_Orderings_Olinorder(_u2188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2188), _u2189), _u2190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2188), _u2190), _u2189)) )).
% 13.06/13.30 cnf(matrix-1819, plain, ( ~class_Orderings_Oorder(_u2191) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2191), _u2192), _u2193)) | ( _u2192 = _u2193) )).
% 13.06/13.30 cnf(matrix-1820, plain, ( ~class_Orderings_Oorder(_u2191) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2191), _u2192), _u2193)) )).
% 13.06/13.30 cnf(matrix-1821, plain, ( ~class_Orderings_Oorder(_u2191) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | ( _u2192 != _u2193) )).
% 13.06/13.30 cnf(matrix-1822, plain, ( ~class_Orderings_Opreorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2194), _u2195), _u2196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), _u2196)) )).
% 13.06/13.30 cnf(matrix-1823, plain, ( ~class_Orderings_Opreorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2194), _u2195), _u2196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2196), _u2195)) )).
% 13.06/13.30 cnf(matrix-1824, plain, ( ~class_Orderings_Opreorder(_u2194) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2195), _u2196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2194), _u2196), _u2195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2194), _u2195), _u2196)) )).
% 13.06/13.30 cnf(matrix-1825, plain, ( ~class_Orderings_Oorder(_u2197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2197), _u2198), _u2199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2197), _u2198), _u2199)) )).
% 13.06/13.30 cnf(matrix-1826, plain, ( ~class_Orderings_Oorder(_u2197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2197), _u2198), _u2199)) | ( _u2198 != _u2199) )).
% 13.06/13.30 cnf(matrix-1827, plain, ( ~class_Orderings_Oorder(_u2197) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2197), _u2198), _u2199)) | ( _u2198 = _u2199) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2197), _u2198), _u2199)) )).
% 13.06/13.30 cnf(matrix-1828, plain, ( ~class_Orderings_Olinorder(_u2200) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2201), _u2202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2200), _u2202), _u2201)) )).
% 13.06/13.30 cnf(matrix-1829, plain, ( ~class_Orderings_Olinorder(_u2203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2203), _u2204), _u2205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2203), _u2205), _u2204)) )).
% 13.06/13.30 cnf(matrix-1830, plain, ( ~class_Orderings_Olinorder(_u2203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2203), _u2205), _u2204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2203), _u2204), _u2205)) )).
% 13.06/13.30 cnf(matrix-1831, plain, ( ~class_Orderings_Olinorder(_u2206) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2206), _u2207), _u2208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2206), _u2208), _u2207)) )).
% 13.06/13.30 cnf(matrix-1832, plain, ( ~class_Orderings_Olinorder(_u2206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2206), _u2208), _u2207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2206), _u2207), _u2208)) )).
% 13.06/13.30 cnf(matrix-1833, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2209), _u2210), _u2211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2209), _u2210), _u2212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2209), _u2211), _u2212)) )).
% 13.06/13.30 cnf(matrix-1834, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), _u2214), _u2215)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2213), _u2216), _u2215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2213), _u2214), _u2216)) )).
% 13.06/13.30 cnf(matrix-1835, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2218), _u2219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2220), _u2221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2217), _u2218), _u2220)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2217), _u2219), _u2221))) )).
% 13.06/13.30 cnf(matrix-1836, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2222), _u2223), _u2224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), _u2225), _u2223)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2222), _u2225), _u2224))) )).
% 13.06/13.30 cnf(matrix-1837, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2226), _u2227), _u2228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), _u2227), _u2229)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2226), _u2228), _u2229))) )).
% 13.06/13.30 cnf(matrix-1838, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2232)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), _u2232), _u2233)) )).
% 13.06/13.30 cnf(matrix-1839, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), _u2232), _u2233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2230), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2232)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2230), _u2231), _u2233))) )).
% 13.06/13.30 cnf(matrix-1840, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2235), _u2236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2237), _u2236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), _u2235), _u2237)) )).
% 13.06/13.30 cnf(matrix-1841, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), _u2235), _u2237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2234), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2235), _u2236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2234), _u2237), _u2236))) )).
% 13.06/13.30 cnf(matrix-1842, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2241), _u2243) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2245), _u2243)) | ( _u2241 = _u2245) | ( _u2243 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1843, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2242), _u2244) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2246), _u2244)) | ( _u2242 != _u2246) )).
% 13.06/13.30 cnf(matrix-1844, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2242), _u2244) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2246), _u2244)) | ( _u2244 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1845, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2250), _u2252) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2250), _u2254)) | ( _u2252 = _u2254) | ( _u2250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1846, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2253) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2255)) | ( _u2253 != _u2255) )).
% 13.06/13.30 cnf(matrix-1847, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2253) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2251), _u2255)) | ( _u2251 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1848, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2258), _u2260) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2258 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2260 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1849, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2261) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2259 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1850, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2261) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2261 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1851, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1852, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2263) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1853, plain, ( ( _u2269 = _u2271) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2267)), _u2269) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2267)), _u2271)) )).
% 13.06/13.30 cnf(matrix-1854, plain, ( ( _u2270 != _u2272) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2268)), _u2270) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2268)), _u2272)) )).
% 13.06/13.30 cnf(matrix-1855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2274), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2274 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-1856, plain, ( ( _u2275 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2275), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1857, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2276)) )).
% 13.06/13.30 cnf(matrix-1858, plain, ( ~class_Groups_Oordered__ab__group__add(_u2277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2278))) )).
% 13.06/13.30 cnf(matrix-1859, plain, ( ~class_Groups_Oordered__ab__group__add(_u2277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2279), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2277), _u2278), hAPP(c_Groups_Ouminus__class_Ouminus(_u2277), _u2279))) )).
% 13.06/13.30 cnf(matrix-1860, plain, ( ~class_Groups_Oordered__ab__group__add(_u2280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2281)), _u2282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2282)), _u2281)) )).
% 13.06/13.30 cnf(matrix-1861, plain, ( ~class_Groups_Oordered__ab__group__add(_u2280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2282)), _u2281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2280), hAPP(c_Groups_Ouminus__class_Ouminus(_u2280), _u2281)), _u2282)) )).
% 13.06/13.30 cnf(matrix-1862, plain, ( ~class_Groups_Oordered__ab__group__add(_u2283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2284)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), _u2285), _u2284)) )).
% 13.06/13.30 cnf(matrix-1863, plain, ( ~class_Groups_Oordered__ab__group__add(_u2283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), _u2285), _u2284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2283), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2284)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2283), _u2285))) )).
% 13.06/13.30 cnf(matrix-1864, plain, ( ~class_Groups_Oordered__ab__group__add(_u2286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2286), _u2287), _u2288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2286), hAPP(c_Groups_Ouminus__class_Ouminus(_u2286), _u2288)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2286), _u2287))) )).
% 13.06/13.30 cnf(matrix-1865, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2290), _u2291)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), _u2290)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2289), _u2291))) )).
% 13.06/13.30 cnf(matrix-1866, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2292), _u2293)), _u2294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2292), _u2294)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2293), _u2294))) )).
% 13.06/13.30 cnf(matrix-1867, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2295)), _u2295)) )).
% 13.06/13.30 cnf(matrix-1868, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2298), _u2300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2300)), _u2298)) )).
% 13.06/13.30 cnf(matrix-1869, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2301)), _u2299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2299), _u2301)) )).
% 13.06/13.30 cnf(matrix-1870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2304), hAPP(c_Nat_OSuc, _u2306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2304), _u2306)) | ( _u2304 = hAPP(c_Nat_OSuc, _u2306)) )).
% 13.06/13.30 cnf(matrix-1871, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), hAPP(c_Nat_OSuc, _u2307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), _u2307)) )).
% 13.06/13.30 cnf(matrix-1872, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2305), hAPP(c_Nat_OSuc, _u2307))) | ( _u2305 != hAPP(c_Nat_OSuc, _u2307)) )).
% 13.06/13.30 cnf(matrix-1873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2310)), hAPP(c_Nat_OSuc, _u2312))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2310), _u2312)) )).
% 13.06/13.30 cnf(matrix-1874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2311), _u2313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2311)), hAPP(c_Nat_OSuc, _u2313))) )).
% 13.06/13.30 cnf(matrix-1875, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2314), _u2315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2314), hAPP(c_Nat_OSuc, _u2315))) )).
% 13.06/13.30 cnf(matrix-1876, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2316), hAPP(c_Nat_OSuc, _u2317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2316), _u2317)) | ( _u2316 = hAPP(c_Nat_OSuc, _u2317)) )).
% 13.06/13.30 cnf(matrix-1877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2318)), _u2319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2318), _u2319)) )).
% 13.06/13.30 cnf(matrix-1878, 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))) )).
% 13.06/13.30 cnf(matrix-1879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2320), _u2321)) )).
% 13.06/13.30 cnf(matrix-1880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2324), _u2326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2324), _u2326)) )).
% 13.06/13.30 cnf(matrix-1881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2324), _u2326)) | ( _u2324 != _u2326) )).
% 13.06/13.30 cnf(matrix-1882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2325), _u2327)) | ( _u2325 = _u2327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2325), _u2327)) )).
% 13.06/13.30 cnf(matrix-1883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2330), _u2332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2330), _u2332)) | ( _u2330 = _u2332) )).
% 13.06/13.30 cnf(matrix-1884, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2331), _u2333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2331), _u2333)) )).
% 13.06/13.30 cnf(matrix-1885, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2331), _u2333)) | ( _u2331 != _u2333) )).
% 13.06/13.30 cnf(matrix-1886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2334), _u2335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2334), _u2335)) )).
% 13.06/13.30 cnf(matrix-1887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2336), _u2337)) | ( _u2336 = _u2337) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2336), _u2337)) )).
% 13.06/13.30 cnf(matrix-1888, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2338), _u2339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2338), _u2339)) )).
% 13.06/13.30 cnf(matrix-1889, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2338), _u2339)) | ( _u2338 != _u2339) )).
% 13.06/13.30 cnf(matrix-1890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2340), _u2341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2340), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2342), _u2341))) )).
% 13.06/13.30 cnf(matrix-1891, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2343), _u2344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2343), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2344), _u2345))) )).
% 13.06/13.30 cnf(matrix-1892, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2347), _u2346))) )).
% 13.06/13.30 cnf(matrix-1893, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2348), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2348), _u2349))) )).
% 13.06/13.30 cnf(matrix-1894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2354), _u2356)) | ( _u2356 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2354), skolem41(_u2356, _u2354))) )).
% 13.06/13.30 cnf(matrix-1895, plain, ( ( _u2357 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2355), _u2351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2355), _u2357)) )).
% 13.06/13.30 cnf(matrix-1896, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2363), _u2365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2361), _u2363)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2361), _u2365))) )).
% 13.06/13.30 cnf(matrix-1897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2364), _u2366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2362), _u2364)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2362), _u2366))) )).
% 13.06/13.30 cnf(matrix-1898, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2367), _u2368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2368), _u2369))) )).
% 13.06/13.30 cnf(matrix-1899, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2370), _u2371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2370), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2372), _u2371))) )).
% 13.06/13.30 cnf(matrix-1900, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2373), _u2374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2373), _u2375)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2374), _u2375))) )).
% 13.06/13.30 cnf(matrix-1901, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2376), _u2377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2378), _u2379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2376), _u2378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2377), _u2379))) )).
% 13.06/13.30 cnf(matrix-1902, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2381), _u2382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2380), _u2381)), _u2382)) )).
% 13.06/13.30 cnf(matrix-1903, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2383), _u2384)), _u2385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2383), _u2385)) )).
% 13.06/13.30 cnf(matrix-1904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2386), _u2387)), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2386), _u2388)) )).
% 13.06/13.30 cnf(matrix-1905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2386), _u2387)), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2387), _u2388)) )).
% 13.06/13.30 cnf(matrix-1906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2391), _u2393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2391), _u2393)) )).
% 13.06/13.30 cnf(matrix-1907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2391), _u2393)) | ( _u2391 != _u2393) )).
% 13.06/13.30 cnf(matrix-1908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2392), _u2394)) | ( _u2392 = _u2394) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2392), _u2394)) )).
% 13.06/13.30 cnf(matrix-1909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2395), _u2396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2397), _u2395)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2397), _u2396))) )).
% 13.06/13.30 cnf(matrix-1910, plain, ( ~c_Natural_Oevaln(_u2398, _u2399, _u2400, _u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2400), _u2402)) | c_Natural_Oevaln(_u2398, _u2399, _u2402, _u2401) )).
% 13.06/13.30 cnf(matrix-1911, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) )).
% 13.06/13.30 cnf(matrix-1912, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) )).
% 13.06/13.30 cnf(matrix-1913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) )).
% 13.06/13.30 cnf(matrix-1914, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2404)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2403), _u2404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2403)), hAPP(c_Int_Onat, _u2404))) )).
% 13.06/13.30 cnf(matrix-1915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2405)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2405), _u2406)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2405)), hAPP(c_Int_Onat, _u2406))) )).
% 13.06/13.30 cnf(matrix-1916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2408)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2407)), hAPP(c_Int_Onat, _u2408)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2407), _u2408))) )).
% 13.06/13.30 cnf(matrix-1917, plain, ( ~class_Rings_Olinordered__idom(_u2409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), hAPP(c_Int_Oring__1__class_Oof__int(_u2409), _u2410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2410)) )).
% 13.06/13.30 cnf(matrix-1918, plain, ( ~class_Rings_Olinordered__idom(_u2409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), hAPP(c_Int_Oring__1__class_Oof__int(_u2409), _u2410))) )).
% 13.06/13.30 cnf(matrix-1919, plain, ( ~class_Rings_Olinordered__idom(_u2411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Int_Oring__1__class_Oof__int(_u2411), _u2412)), c_Groups_Ozero__class_Ozero(_u2411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-1920, plain, ( ~class_Rings_Olinordered__idom(_u2411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2412), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2411), hAPP(c_Int_Oring__1__class_Oof__int(_u2411), _u2412)), c_Groups_Ozero__class_Ozero(_u2411))) )).
% 13.06/13.30 cnf(matrix-1921, plain, ( ~class_Rings_Olinordered__idom(_u2413) | ( c_Groups_Osgn__class_Osgn(_u2413, _u2414) != c_Groups_Ozero__class_Ozero(_u2413)) | ( _u2414 = c_Groups_Ozero__class_Ozero(_u2413)) )).
% 13.06/13.30 cnf(matrix-1922, plain, ( ~class_Rings_Olinordered__idom(_u2413) | ( _u2414 != c_Groups_Ozero__class_Ozero(_u2413)) | ( c_Groups_Osgn__class_Osgn(_u2413, _u2414) = c_Groups_Ozero__class_Ozero(_u2413)) )).
% 13.06/13.30 cnf(matrix-1923, plain, ( ~class_Groups_Osgn__if(_u2415) | ( c_Groups_Osgn__class_Osgn(_u2415, c_Groups_Ozero__class_Ozero(_u2415)) = c_Groups_Ozero__class_Ozero(_u2415)) )).
% 13.06/13.30 cnf(matrix-1924, plain, ( ~class_Rings_Olinordered__idom(_u2416) | ( c_Groups_Osgn__class_Osgn(_u2416, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2416), _u2417), _u2418)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2416), c_Groups_Osgn__class_Osgn(_u2416, _u2417)), c_Groups_Osgn__class_Osgn(_u2416, _u2418))) )).
% 13.06/13.30 cnf(matrix-1925, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2419), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2419), _u2420)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2419))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2420)))) )).
% 13.06/13.30 cnf(matrix-1926, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2421), _u2422), _u2422))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), _u2422)) )).
% 13.06/13.30 cnf(matrix-1927, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), _u2422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2421), c_Groups_Ozero__class_Ozero(_u2421)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2421), _u2422), _u2422))) )).
% 13.06/13.30 cnf(matrix-1928, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2423), _u2424), _u2424)), c_Groups_Ozero__class_Ozero(_u2423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), _u2424), c_Groups_Ozero__class_Ozero(_u2423))) )).
% 13.06/13.30 cnf(matrix-1929, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), _u2424), c_Groups_Ozero__class_Ozero(_u2423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2423), _u2424), _u2424)), c_Groups_Ozero__class_Ozero(_u2423))) )).
% 13.06/13.30 cnf(matrix-1930, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), _u2426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), _u2427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2425), _u2426), _u2427))) )).
% 13.06/13.30 cnf(matrix-1931, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2430)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), _u2429), _u2430) != c_Groups_Ozero__class_Ozero(_u2428)) | ( _u2429 = c_Groups_Ozero__class_Ozero(_u2428)) )).
% 13.06/13.30 cnf(matrix-1932, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2430)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), _u2429), _u2430) != c_Groups_Ozero__class_Ozero(_u2428)) | ( _u2430 = c_Groups_Ozero__class_Ozero(_u2428)) )).
% 13.06/13.30 cnf(matrix-1933, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2428), c_Groups_Ozero__class_Ozero(_u2428)), _u2430)) | ( _u2429 != c_Groups_Ozero__class_Ozero(_u2428)) | ( _u2430 != c_Groups_Ozero__class_Ozero(_u2428)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), _u2429), _u2430) = c_Groups_Ozero__class_Ozero(_u2428)) )).
% 13.06/13.30 cnf(matrix-1934, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2431), c_Groups_Ozero__class_Ozero(_u2431)), _u2432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2431), _u2433), _u2434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2431), _u2433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2431), _u2432), _u2434))) )).
% 13.06/13.30 cnf(matrix-1935, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2435), c_Groups_Ozero__class_Ozero(_u2435)), _u2436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2435), _u2437), _u2438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2435), _u2437), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2435), _u2438), _u2436))) )).
% 13.06/13.30 cnf(matrix-1936, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2440), c_Groups_Ozero__class_Ozero(_u2439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), _u2441), c_Groups_Ozero__class_Ozero(_u2439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), _u2441)), c_Groups_Ozero__class_Ozero(_u2439))) )).
% 13.06/13.30 cnf(matrix-1937, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2442) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2442), _u2443), _u2444)), c_Groups_Ozero__class_Ozero(_u2442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), c_Groups_Ozero__class_Ozero(_u2442)), _u2443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2444), c_Groups_Ozero__class_Ozero(_u2442))) )).
% 13.06/13.30 cnf(matrix-1938, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2442) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2442), _u2443), _u2444)), c_Groups_Ozero__class_Ozero(_u2442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), _u2443), c_Groups_Ozero__class_Ozero(_u2442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2442), c_Groups_Ozero__class_Ozero(_u2442)), _u2444)) )).
% 13.06/13.30 cnf(matrix-1939, plain, ( ~class_Rings_Oordered__ring(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2445), _u2446), _u2447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), _u2446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), _u2447)) )).
% 13.06/13.30 cnf(matrix-1940, plain, ( ~class_Rings_Oordered__ring(_u2445) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), c_Groups_Ozero__class_Ozero(_u2445)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2445), _u2446), _u2447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2446), c_Groups_Ozero__class_Ozero(_u2445))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), _u2447), c_Groups_Ozero__class_Ozero(_u2445))) )).
% 13.06/13.30 cnf(matrix-1941, plain, ( ~class_Rings_Oordered__semiring(_u2448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), _u2449), _u2450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), _u2451), _u2452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), c_Groups_Ozero__class_Ozero(_u2448)), _u2450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), c_Groups_Ozero__class_Ozero(_u2448)), _u2451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2448), _u2449), _u2451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2448), _u2450), _u2452))) )).
% 13.06/13.30 cnf(matrix-1942, plain, ( ~class_Rings_Oordered__semiring(_u2453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), _u2454), _u2455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), _u2456), _u2457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), c_Groups_Ozero__class_Ozero(_u2453)), _u2454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), c_Groups_Ozero__class_Ozero(_u2453)), _u2456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2453), _u2454), _u2456)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2453), _u2455), _u2457))) )).
% 13.06/13.30 cnf(matrix-1943, plain, ( ~class_Rings_Oordered__ring(_u2458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2458), _u2459), _u2460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2458), _u2461), c_Groups_Ozero__class_Ozero(_u2458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2458), _u2461), _u2460)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2458), _u2461), _u2459))) )).
% 13.06/13.30 cnf(matrix-1944, plain, ( ~class_Rings_Oordered__ring(_u2462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2462), _u2463), _u2464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2462), _u2465), c_Groups_Ozero__class_Ozero(_u2462))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2462), _u2464), _u2465)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2462), _u2463), _u2465))) )).
% 13.06/13.30 cnf(matrix-1945, plain, ( ~class_Rings_Oordered__comm__semiring(_u2466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), _u2467), _u2468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), c_Groups_Ozero__class_Ozero(_u2466)), _u2469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2466), _u2469), _u2467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2466), _u2469), _u2468))) )).
% 13.06/13.30 cnf(matrix-1946, plain, ( ~class_Rings_Oordered__semiring(_u2470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2470), _u2471), _u2472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2470), c_Groups_Ozero__class_Ozero(_u2470)), _u2473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2470), _u2473), _u2471)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2470), _u2473), _u2472))) )).
% 13.06/13.30 cnf(matrix-1947, plain, ( ~class_Rings_Oordered__semiring(_u2474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2474), _u2475), _u2476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2474), c_Groups_Ozero__class_Ozero(_u2474)), _u2477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2474), _u2475), _u2477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2474), _u2476), _u2477))) )).
% 13.06/13.30 cnf(matrix-1948, plain, ( ~class_Rings_Oordered__ring(_u2478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), _u2479), c_Groups_Ozero__class_Ozero(_u2478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), _u2480), c_Groups_Ozero__class_Ozero(_u2478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2478), c_Groups_Ozero__class_Ozero(_u2478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2478), _u2479), _u2480))) )).
% 13.06/13.30 cnf(matrix-1949, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), _u2482), c_Groups_Ozero__class_Ozero(_u2481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), c_Groups_Ozero__class_Ozero(_u2481)), _u2483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2481), _u2482), _u2483)), c_Groups_Ozero__class_Ozero(_u2481))) )).
% 13.06/13.30 cnf(matrix-1950, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2484), c_Groups_Ozero__class_Ozero(_u2484)), _u2485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2484), _u2486), c_Groups_Ozero__class_Ozero(_u2484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2484), _u2486), _u2485)), c_Groups_Ozero__class_Ozero(_u2484))) )).
% 13.06/13.30 cnf(matrix-1951, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2487), c_Groups_Ozero__class_Ozero(_u2487)), _u2488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2487), _u2489), c_Groups_Ozero__class_Ozero(_u2487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2487), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2487), _u2488), _u2489)), c_Groups_Ozero__class_Ozero(_u2487))) )).
% 13.06/13.30 cnf(matrix-1952, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2490), c_Groups_Ozero__class_Ozero(_u2490)), _u2491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2490), c_Groups_Ozero__class_Ozero(_u2490)), _u2492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2490), c_Groups_Ozero__class_Ozero(_u2490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2490), _u2491), _u2492))) )).
% 13.06/13.30 cnf(matrix-1953, plain, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), c_Groups_Ozero__class_Ozero(_u2493))) )).
% 13.06/13.30 cnf(matrix-1954, plain, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2495)) )).
% 13.06/13.30 cnf(matrix-1955, plain, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2495), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), c_Groups_Ozero__class_Ozero(_u2493))) )).
% 13.06/13.30 cnf(matrix-1956, plain, ( ~class_Rings_Olinordered__ring__strict(_u2493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2495), c_Groups_Ozero__class_Ozero(_u2493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2495)) )).
% 13.06/13.30 cnf(matrix-1957, plain, ( ~class_Rings_Olinordered__ring__strict(_u2493) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2495), c_Groups_Ozero__class_Ozero(_u2493))) )).
% 13.06/13.30 cnf(matrix-1958, plain, ( ~class_Rings_Olinordered__ring__strict(_u2493) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2493), _u2494), _u2495)), c_Groups_Ozero__class_Ozero(_u2493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), _u2494), c_Groups_Ozero__class_Ozero(_u2493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2493), c_Groups_Ozero__class_Ozero(_u2493)), _u2495)) )).
% 13.06/13.30 cnf(matrix-1959, plain, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2497), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.06/13.30 cnf(matrix-1960, plain, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2498), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.06/13.30 cnf(matrix-1961, plain, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2497), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.06/13.30 cnf(matrix-1962, plain, ( ~class_Rings_Olinordered__ring__strict(_u2496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2498), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.06/13.30 cnf(matrix-1963, plain, ( ~class_Rings_Olinordered__ring__strict(_u2496) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), _u2498)) )).
% 13.06/13.30 cnf(matrix-1964, plain, ( ~class_Rings_Olinordered__ring__strict(_u2496) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), c_Groups_Ozero__class_Ozero(_u2496)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2496), _u2497), _u2498))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2497), c_Groups_Ozero__class_Ozero(_u2496))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2496), _u2498), c_Groups_Ozero__class_Ozero(_u2496))) )).
% 13.06/13.30 cnf(matrix-1965, plain, ( ~class_Rings_Olinordered__ring(_u2499) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2499), c_Groups_Ozero__class_Ozero(_u2499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2499), _u2500), _u2500))) )).
% 13.06/13.30 cnf(matrix-1966, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2501), _u2502), _u2503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2501), _u2504), _u2505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2502), _u2504)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2501), _u2503), _u2505))) )).
% 13.06/13.30 cnf(matrix-1967, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2506), _u2507), _u2508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2506), _u2509), _u2510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2506), _u2507), _u2509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2506), _u2508), _u2510))) )).
% 13.06/13.30 cnf(matrix-1968, plain, ( ~class_Rings_Olinordered__semidom(_u2511) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2511), c_Groups_Ozero__class_Ozero(_u2511)), c_Groups_Oone__class_Oone(_u2511))) )).
% 13.06/13.30 cnf(matrix-1969, plain, ( ~class_Rings_Olinordered__semidom(_u2512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2512), c_Groups_Oone__class_Oone(_u2512)), c_Groups_Ozero__class_Ozero(_u2512))) )).
% 13.06/13.30 cnf(matrix-1970, plain, ( ~class_Groups_Oordered__ab__group__add(_u2513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), c_Groups_Ozero__class_Ozero(_u2513)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2513), _u2514))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), _u2514), c_Groups_Ozero__class_Ozero(_u2513))) )).
% 13.06/13.30 cnf(matrix-1971, plain, ( ~class_Groups_Oordered__ab__group__add(_u2513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), _u2514), c_Groups_Ozero__class_Ozero(_u2513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2513), c_Groups_Ozero__class_Ozero(_u2513)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2513), _u2514))) )).
% 13.06/13.30 cnf(matrix-1972, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), hAPP(c_Groups_Ouminus__class_Ouminus(_u2515), _u2516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), c_Groups_Ozero__class_Ozero(_u2515))) )).
% 13.06/13.30 cnf(matrix-1973, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2515) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), c_Groups_Ozero__class_Ozero(_u2515))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2516), hAPP(c_Groups_Ouminus__class_Ouminus(_u2515), _u2516))) )).
% 13.06/13.30 cnf(matrix-1974, plain, ( ~class_Groups_Oordered__ab__group__add(_u2517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), hAPP(c_Groups_Ouminus__class_Ouminus(_u2517), _u2518)), c_Groups_Ozero__class_Ozero(_u2517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), c_Groups_Ozero__class_Ozero(_u2517)), _u2518)) )).
% 13.06/13.30 cnf(matrix-1975, plain, ( ~class_Groups_Oordered__ab__group__add(_u2517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), c_Groups_Ozero__class_Ozero(_u2517)), _u2518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), hAPP(c_Groups_Ouminus__class_Ouminus(_u2517), _u2518)), c_Groups_Ozero__class_Ozero(_u2517))) )).
% 13.06/13.30 cnf(matrix-1976, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), hAPP(c_Groups_Ouminus__class_Ouminus(_u2519), _u2520)), _u2520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), c_Groups_Ozero__class_Ozero(_u2519)), _u2520)) )).
% 13.06/13.30 cnf(matrix-1977, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), c_Groups_Ozero__class_Ozero(_u2519)), _u2520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), hAPP(c_Groups_Ouminus__class_Ouminus(_u2519), _u2520)), _u2520)) )).
% 13.06/13.30 cnf(matrix-1978, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2523), _u2525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2523 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1979, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2523), _u2525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1980, plain, ( ( _u2524 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2526 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2524), _u2526) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1981, plain, ( ~class_Rings_Olinordered__semidom(_u2527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2527), c_Groups_Ozero__class_Ozero(_u2527)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2527), _u2528))) )).
% 13.06/13.30 cnf(matrix-1982, plain, ( ~class_Rings_Olinordered__semidom(_u2529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2529), c_Groups_Ozero__class_Ozero(_u2529)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2529), _u2530))) )).
% 13.06/13.30 cnf(matrix-1983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2531), _u2532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2533), _u2531)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2533), _u2532))) )).
% 13.06/13.30 cnf(matrix-1984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2534), _u2535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2534), _u2536)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2535), _u2536))) )).
% 13.06/13.30 cnf(matrix-1985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2540), _u2542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2544), _u2542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2542)) )).
% 13.06/13.30 cnf(matrix-1986, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2540), _u2542)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2544), _u2542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2540), _u2544)) )).
% 13.06/13.30 cnf(matrix-1987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2541), _u2545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2541), _u2543)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2545), _u2543))) )).
% 13.06/13.30 cnf(matrix-1988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2549), _u2551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2549), _u2553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2549)) )).
% 13.06/13.30 cnf(matrix-1989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2549), _u2551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2549), _u2553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2551), _u2553)) )).
% 13.06/13.30 cnf(matrix-1990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2552), _u2554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2550), _u2552)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2550), _u2554))) )).
% 13.06/13.30 cnf(matrix-1991, 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), _u2557), _u2559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2557)) )).
% 13.06/13.30 cnf(matrix-1992, 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), _u2557), _u2559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2559)) )).
% 13.06/13.30 cnf(matrix-1993, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2560)) | 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), _u2558), _u2560))) )).
% 13.06/13.30 cnf(matrix-1994, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2566), _u2568)) | ~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, _u2564)), _u2566)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2564)), _u2568))) )).
% 13.06/13.30 cnf(matrix-1995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2567), _u2569)) | 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, _u2565)), _u2567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2565)), _u2569))) )).
% 13.06/13.30 cnf(matrix-1996, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2570)), _u2571) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2570), _u2571))) )).
% 13.06/13.30 cnf(matrix-1997, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2572), hAPP(c_Nat_OSuc, _u2573)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2572), _u2573))) )).
% 13.06/13.30 cnf(matrix-1998, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-1999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2574)), _u2575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2574), _u2575)) )).
% 13.06/13.30 cnf(matrix-2000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2576), _u2577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2577), hAPP(c_Nat_OSuc, _u2576))) | ( _u2577 = _u2576) )).
% 13.06/13.30 cnf(matrix-2001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2576), _u2577)) | ( _u2577 != _u2576) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2577), hAPP(c_Nat_OSuc, _u2576))) )).
% 13.06/13.30 cnf(matrix-2002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2578), _u2579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2578)), _u2579)) )).
% 13.06/13.30 cnf(matrix-2003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2580), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2580), hAPP(c_Nat_OSuc, _u2581))) )).
% 13.06/13.30 cnf(matrix-2004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2584)), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2584), _u2586)) )).
% 13.06/13.30 cnf(matrix-2005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2585), _u2587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2585)), _u2587)) )).
% 13.06/13.30 cnf(matrix-2006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2590), hAPP(c_Nat_OSuc, _u2592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2590), _u2592)) )).
% 13.06/13.30 cnf(matrix-2007, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2591), _u2593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2591), hAPP(c_Nat_OSuc, _u2593))) )).
% 13.06/13.30 cnf(matrix-2008, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2596), _u2598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2596)), _u2598)) )).
% 13.06/13.30 cnf(matrix-2009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2597)), _u2599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2597), _u2599)) )).
% 13.06/13.30 cnf(matrix-2010, plain, ( ( hAPP(c_Nat_OSuc, _u2600) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2600), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.30 cnf(matrix-2011, plain, ( ( hAPP(c_Nat_OSuc, _u2601) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2601)) )).
% 13.06/13.30 cnf(matrix-2012, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2603)) | 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), _u2602), _u2603))) )).
% 13.06/13.30 cnf(matrix-2013, 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), _u2604))) )).
% 13.06/13.30 cnf(matrix-2014, 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), _u2605))) )).
% 13.06/13.30 cnf(matrix-2015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2606)) | ~hBOOL(hAPP(_u2611, _u2606)) | hBOOL(hAPP(_u2611, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem42(_u2611)))) )).
% 13.06/13.30 cnf(matrix-2016, plain, ( ~hBOOL(hAPP(_u2612, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem43(_u2612))) )).
% 13.06/13.30 cnf(matrix-2017, plain, ( ~hBOOL(hAPP(_u2612, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2608))) | hBOOL(hAPP(_u2612, skolem43(_u2612))) )).
% 13.06/13.30 cnf(matrix-2018, plain, ( hBOOL(hAPP(_u2618, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2614))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem44(_u2618))) )).
% 13.06/13.30 cnf(matrix-2019, plain, ( hBOOL(hAPP(_u2618, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2614))) | ~hBOOL(hAPP(_u2618, skolem44(_u2618))) )).
% 13.06/13.30 cnf(matrix-2020, plain, ( ~hBOOL(hAPP(_u2619, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem45(_u2619)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2616)) | hBOOL(hAPP(_u2619, _u2616)) )).
% 13.06/13.30 cnf(matrix-2021, 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))) )).
% 13.06/13.30 cnf(matrix-2022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2621)) | ( hAPP(c_Int_Onat, _u2620) != hAPP(c_Int_Onat, _u2621)) | ( _u2620 = _u2621) )).
% 13.06/13.30 cnf(matrix-2023, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2621)) | ( _u2620 != _u2621) | ( hAPP(c_Int_Onat, _u2620) = hAPP(c_Int_Onat, _u2621)) )).
% 13.06/13.30 cnf(matrix-2024, plain, ( ~hBOOL(hAPP(_u2627, _u2622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem46(_u2627))) )).
% 13.06/13.30 cnf(matrix-2025, plain, ( ~hBOOL(hAPP(_u2627, _u2622)) | hBOOL(hAPP(_u2627, hAPP(c_Int_Onat, skolem46(_u2627)))) )).
% 13.06/13.30 cnf(matrix-2026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2624)) | ~hBOOL(hAPP(_u2628, hAPP(c_Int_Onat, _u2624))) | hBOOL(hAPP(_u2628, skolem47(_u2628))) )).
% 13.06/13.30 cnf(matrix-2027, plain, ( ~hBOOL(hAPP(_u2634, skolem48(_u2634))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2630)) | hBOOL(hAPP(_u2634, hAPP(c_Int_Onat, _u2630))) )).
% 13.06/13.30 cnf(matrix-2028, plain, ( hBOOL(hAPP(_u2635, _u2632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem49(_u2635))) )).
% 13.06/13.30 cnf(matrix-2029, plain, ( hBOOL(hAPP(_u2635, _u2632)) | ~hBOOL(hAPP(_u2635, hAPP(c_Int_Onat, skolem49(_u2635)))) )).
% 13.06/13.30 cnf(matrix-2030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2637)) | ( hAPP(c_Int_Onat, _u2636) != hAPP(c_Int_Onat, _u2637)) | ( _u2636 = _u2637) )).
% 13.06/13.30 cnf(matrix-2031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2636)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2637)) | ( _u2636 != _u2637) | ( hAPP(c_Int_Onat, _u2636) = hAPP(c_Int_Onat, _u2637)) )).
% 13.06/13.30 cnf(matrix-2032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2638), _u2639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2640), _u2641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2638), _u2640)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2639), _u2641))) )).
% 13.06/13.30 cnf(matrix-2033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2642)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2643)) | 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), _u2642), _u2643))) )).
% 13.06/13.30 cnf(matrix-2034, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2644)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2645)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2644), _u2645))) )).
% 13.06/13.30 cnf(matrix-2035, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2646), _u2647)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2646)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2647))) )).
% 13.06/13.30 cnf(matrix-2036, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2648)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2649)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2648), _u2649))) )).
% 13.06/13.30 cnf(matrix-2037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2654), _u2656)) | ( _u2656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2654), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem50(_u2656, _u2654)))) )).
% 13.06/13.30 cnf(matrix-2038, plain, ( ( _u2657 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2655), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2655), _u2657)) )).
% 13.06/13.30 cnf(matrix-2039, 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)) )).
% 13.06/13.30 cnf(matrix-2040, 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))) )).
% 13.06/13.30 cnf(matrix-2041, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2042, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2658), c_Groups_Ozero__class_Ozero(_u2658)), _u2659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2658), c_Groups_Ozero__class_Ozero(_u2658)), _u2660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2658), c_Groups_Ozero__class_Ozero(_u2658)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2658), _u2659), _u2660))) )).
% 13.06/13.30 cnf(matrix-2043, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2661), c_Groups_Ozero__class_Ozero(_u2661)), _u2662)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2661), c_Groups_Ozero__class_Ozero(_u2661)), _u2663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2661), c_Groups_Ozero__class_Ozero(_u2661)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2661), _u2662), _u2663))) )).
% 13.06/13.30 cnf(matrix-2044, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2664), c_Groups_Ozero__class_Ozero(_u2664)), _u2665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2664), _u2666), _u2667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2664), _u2666), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2664), _u2665), _u2667))) )).
% 13.06/13.30 cnf(matrix-2045, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2668), c_Groups_Ozero__class_Ozero(_u2668)), _u2669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), _u2671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2668), _u2669), _u2671))) )).
% 13.06/13.30 cnf(matrix-2046, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2672), _u2673), c_Groups_Ozero__class_Ozero(_u2672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2672), _u2674), c_Groups_Ozero__class_Ozero(_u2672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2672), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2672), _u2673), _u2674)), c_Groups_Ozero__class_Ozero(_u2672))) )).
% 13.06/13.30 cnf(matrix-2047, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2675), _u2676), c_Groups_Ozero__class_Ozero(_u2675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2675), _u2677), c_Groups_Ozero__class_Ozero(_u2675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2675), _u2676), _u2677)), c_Groups_Ozero__class_Ozero(_u2675))) )).
% 13.06/13.30 cnf(matrix-2048, plain, ( ~class_Rings_Olinordered__ring__strict(_u2678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2678), c_Groups_Ozero__class_Ozero(_u2678)), _u2679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2680)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), _u2680), _u2681)) )).
% 13.06/13.30 cnf(matrix-2049, plain, ( ~class_Rings_Olinordered__ring__strict(_u2678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2678), c_Groups_Ozero__class_Ozero(_u2678)), _u2679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), _u2680), _u2681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2678), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2680)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2678), _u2679), _u2681))) )).
% 13.06/13.30 cnf(matrix-2050, plain, ( ~class_Rings_Olinordered__ring__strict(_u2682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2682), _u2683), c_Groups_Ozero__class_Ozero(_u2682))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), _u2685), _u2684)) )).
% 13.06/13.30 cnf(matrix-2051, plain, ( ~class_Rings_Olinordered__ring__strict(_u2682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2682), _u2683), c_Groups_Ozero__class_Ozero(_u2682))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), _u2685), _u2684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2684)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2682), _u2683), _u2685))) )).
% 13.06/13.30 cnf(matrix-2052, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2687), _u2688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2689), _u2690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), c_Groups_Ozero__class_Ozero(_u2686)), _u2688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2686), c_Groups_Ozero__class_Ozero(_u2686)), _u2689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2686), _u2687), _u2689)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2686), _u2688), _u2690))) )).
% 13.06/13.30 cnf(matrix-2053, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2691), _u2692), _u2693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2691), _u2694), _u2695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2691), c_Groups_Ozero__class_Ozero(_u2691)), _u2692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2691), c_Groups_Ozero__class_Ozero(_u2691)), _u2694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2692), _u2694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2691), _u2693), _u2695))) )).
% 13.06/13.30 cnf(matrix-2054, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), _u2697), _u2698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2696), _u2699), _u2700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2696), c_Groups_Ozero__class_Ozero(_u2696)), _u2697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), c_Groups_Ozero__class_Ozero(_u2696)), _u2699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2697), _u2699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2698), _u2700))) )).
% 13.06/13.30 cnf(matrix-2055, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2701), _u2702), _u2703)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2701), _u2704), _u2705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2701), c_Groups_Ozero__class_Ozero(_u2701)), _u2702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2701), c_Groups_Ozero__class_Ozero(_u2701)), _u2704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2701), _u2702), _u2704)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2701), _u2703), _u2705))) )).
% 13.06/13.30 cnf(matrix-2056, plain, ( ~class_Rings_Olinordered__semiring(_u2706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2706), _u2707), _u2708)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2706), _u2709), _u2708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2706), c_Groups_Ozero__class_Ozero(_u2706)), _u2708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2706), _u2707), _u2709)) )).
% 13.06/13.30 cnf(matrix-2057, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2710), _u2711), _u2712)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2710), _u2713), _u2712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2710), c_Groups_Ozero__class_Ozero(_u2710)), _u2712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2710), _u2711), _u2713)) )).
% 13.06/13.30 cnf(matrix-2058, plain, ( ~class_Rings_Olinordered__semiring(_u2714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2716)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2714), _u2715), _u2717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2714), c_Groups_Ozero__class_Ozero(_u2714)), _u2715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2714), _u2716), _u2717)) )).
% 13.06/13.30 cnf(matrix-2059, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2718), c_Groups_Ozero__class_Ozero(_u2718)), _u2719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2718), _u2720), _u2721)) )).
% 13.06/13.30 cnf(matrix-2060, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2722), _u2723), _u2724)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2722), _u2725), _u2724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2722), c_Groups_Ozero__class_Ozero(_u2722)), _u2724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2722), _u2723), _u2725)) )).
% 13.06/13.30 cnf(matrix-2061, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2726), _u2727), _u2728)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2726), _u2727), _u2729))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2726), c_Groups_Ozero__class_Ozero(_u2726)), _u2727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2726), _u2728), _u2729)) )).
% 13.06/13.30 cnf(matrix-2062, plain, ( ~class_Rings_Olinordered__ring__strict(_u2730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2731)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2732), _u2732))), c_Groups_Ozero__class_Ozero(_u2730))) | ( _u2731 = c_Groups_Ozero__class_Ozero(_u2730)) )).
% 13.06/13.30 cnf(matrix-2063, plain, ( ~class_Rings_Olinordered__ring__strict(_u2730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2731)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2732), _u2732))), c_Groups_Ozero__class_Ozero(_u2730))) | ( _u2732 = c_Groups_Ozero__class_Ozero(_u2730)) )).
% 13.06/13.30 cnf(matrix-2064, plain, ( ~class_Rings_Olinordered__ring__strict(_u2730) | ( _u2731 != c_Groups_Ozero__class_Ozero(_u2730)) | ( _u2732 != c_Groups_Ozero__class_Ozero(_u2730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2731), _u2731)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2730), _u2732), _u2732))), c_Groups_Ozero__class_Ozero(_u2730))) )).
% 13.06/13.30 cnf(matrix-2065, plain, ( ~class_Rings_Olinordered__ring(_u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2733), c_Groups_Ozero__class_Ozero(_u2733)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2734), _u2734)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2733), _u2735), _u2735)))) )).
% 13.06/13.30 cnf(matrix-2066, plain, ( ~class_Rings_Olinordered__idom(_u2736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), c_Groups_Ozero__class_Ozero(_u2736)), _u2738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), _u2738), c_Groups_Oone__class_Oone(_u2736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2736), _u2738), _u2737)), _u2737)) )).
% 13.06/13.30 cnf(matrix-2067, plain, ( ~class_Rings_Olinordered__idom(_u2739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), c_Groups_Ozero__class_Ozero(_u2739)), _u2740)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), c_Groups_Ozero__class_Ozero(_u2739)), _u2741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), _u2741), c_Groups_Oone__class_Oone(_u2739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2739), _u2740), _u2741)), _u2740)) )).
% 13.06/13.30 cnf(matrix-2068, plain, ( ~class_Rings_Olinordered__idom(_u2742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), c_Groups_Osgn__class_Osgn(_u2742, _u2743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), _u2743)) )).
% 13.06/13.30 cnf(matrix-2069, plain, ( ~class_Rings_Olinordered__idom(_u2742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), _u2743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2742), c_Groups_Ozero__class_Ozero(_u2742)), c_Groups_Osgn__class_Osgn(_u2742, _u2743))) )).
% 13.06/13.30 cnf(matrix-2070, plain, ( ~class_Rings_Olinordered__idom(_u2744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), c_Groups_Osgn__class_Osgn(_u2744, _u2745)), c_Groups_Ozero__class_Ozero(_u2744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), c_Groups_Ozero__class_Ozero(_u2744))) )).
% 13.06/13.30 cnf(matrix-2071, plain, ( ~class_Rings_Olinordered__idom(_u2744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), c_Groups_Ozero__class_Ozero(_u2744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), c_Groups_Osgn__class_Osgn(_u2744, _u2745)), c_Groups_Ozero__class_Ozero(_u2744))) )).
% 13.06/13.30 cnf(matrix-2072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2747)) | 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), _u2747), _u2746))) )).
% 13.06/13.30 cnf(matrix-2073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2748), _u2749))) )).
% 13.06/13.30 cnf(matrix-2074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2751), _u2750))) )).
% 13.06/13.30 cnf(matrix-2075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2753)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2753 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2076, plain, ( ( _u2754 != 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), _u2754)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2077, plain, ( ( hAPP(c_Int_Onat, _u2756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2756), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2078, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2757), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2758), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2758) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2080, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2760)) )).
% 13.06/13.30 cnf(matrix-2081, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2761)) )).
% 13.06/13.30 cnf(matrix-2082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2762)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2762)) = _u2762) )).
% 13.06/13.30 cnf(matrix-2083, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2765) != _u2767) | ( _u2765 = hAPP(c_Int_Onat, _u2767)) )).
% 13.06/13.30 cnf(matrix-2084, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2765) != _u2767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2767)) )).
% 13.06/13.30 cnf(matrix-2085, plain, ( ( _u2766 != hAPP(c_Int_Onat, _u2768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2768)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2766) = _u2768) )).
% 13.06/13.30 cnf(matrix-2086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2770)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2770)) = _u2770) )).
% 13.06/13.30 cnf(matrix-2087, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2771)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2771)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-2088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2772), _u2773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2772), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2773)) )).
% 13.06/13.30 cnf(matrix-2089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2776), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2776), _u2778)) )).
% 13.06/13.30 cnf(matrix-2090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2777), _u2779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2777), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2779)) )).
% 13.06/13.30 cnf(matrix-2091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2782), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2784), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2782), _u2784)) )).
% 13.06/13.30 cnf(matrix-2092, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2783), _u2785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2783), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2785), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.06/13.30 cnf(matrix-2093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2788)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2790)))) | ( _u2788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2788)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2790)))) | ( _u2790 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2095, plain, ( ( _u2789 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2791 != 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), _u2789)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2791)))) )).
% 13.06/13.30 cnf(matrix-2096, 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), _u2792))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2097, plain, ( ~class_Rings_Olinordered__semiring__1(_u2793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), _u2794), _u2795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), _u2796), _u2795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), c_Groups_Ozero__class_Ozero(_u2793)), _u2797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), c_Groups_Ozero__class_Ozero(_u2793)), _u2798)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2793), _u2797), _u2798) != c_Groups_Oone__class_Oone(_u2793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2793), _u2797), _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2793), _u2798), _u2796))), _u2795)) )).
% 13.06/13.30 cnf(matrix-2098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2799)), hAPP(c_Int_Onat, _u2800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2799), _u2800)) )).
% 13.06/13.30 cnf(matrix-2099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2799), _u2800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2799)), hAPP(c_Int_Onat, _u2800))) )).
% 13.06/13.30 cnf(matrix-2100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2801)), hAPP(c_Int_Onat, _u2802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2801), _u2802)) )).
% 13.06/13.30 cnf(matrix-2101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2801), _u2802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2801)), hAPP(c_Int_Onat, _u2802))) )).
% 13.06/13.30 cnf(matrix-2102, plain, ( ( hAPP(c_Int_Onat, _u2805) != _u2807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2805)) | ( _u2805 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2807)) )).
% 13.06/13.30 cnf(matrix-2103, plain, ( ( hAPP(c_Int_Onat, _u2805) != _u2807) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2805)) | ( _u2807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2104, plain, ( ( hAPP(c_Int_Onat, _u2806) = _u2808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2806)) | ( _u2808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2105, plain, ( ( hAPP(c_Int_Onat, _u2806) = _u2808) | ( _u2806 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2806)) )).
% 13.06/13.30 cnf(matrix-2106, plain, ( ( hAPP(c_Int_Onat, _u2806) = _u2808) | ( _u2806 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2808)) | ( _u2808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2107, plain, ( ( _u2811 != hAPP(c_Int_Onat, _u2813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2813)) | ( _u2813 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2811)) )).
% 13.06/13.30 cnf(matrix-2108, plain, ( ( _u2811 != hAPP(c_Int_Onat, _u2813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2813)) | ( _u2811 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2109, plain, ( ( _u2812 = hAPP(c_Int_Onat, _u2814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2814)) | ( _u2812 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2110, plain, ( ( _u2812 = hAPP(c_Int_Onat, _u2814)) | ( _u2814 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2814)) )).
% 13.06/13.30 cnf(matrix-2111, plain, ( ( _u2812 = hAPP(c_Int_Onat, _u2814)) | ( _u2814 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2812)) | ( _u2812 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2816)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2815)), hAPP(c_Int_Onat, _u2816)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2815), _u2816))) )).
% 13.06/13.30 cnf(matrix-2113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2818)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2817), _u2818)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u2817)), hAPP(c_Int_Onat, _u2818))) )).
% 13.06/13.30 cnf(matrix-2114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2819)) | 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)), _u2819))) )).
% 13.06/13.30 cnf(matrix-2115, 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, _u2820))))) )).
% 13.06/13.30 cnf(matrix-2116, plain, ( ~class_Rings_Oring__1(_u2821) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2822)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2821), hAPP(c_Int_Onat, _u2822)) = hAPP(c_Int_Oring__1__class_Oof__int(_u2821), _u2822)) )).
% 13.06/13.30 cnf(matrix-2117, plain, ( ~class_Rings_Olinordered__idom(_u2823) | ( c_Groups_Osgn__class_Osgn(_u2823, _u2824) != c_Groups_Oone__class_Oone(_u2823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2823), c_Groups_Ozero__class_Ozero(_u2823)), _u2824)) )).
% 13.06/13.30 cnf(matrix-2118, plain, ( ~class_Rings_Olinordered__idom(_u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2823), c_Groups_Ozero__class_Ozero(_u2823)), _u2824)) | ( c_Groups_Osgn__class_Osgn(_u2823, _u2824) = c_Groups_Oone__class_Oone(_u2823)) )).
% 13.06/13.30 cnf(matrix-2119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2825)) | ( _u2825 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2825), _u2827))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2827), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2828)) | ( _u2828 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2829), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2828), _u2830))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2829), _u2828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2830)) )).
% 13.06/13.30 cnf(matrix-2121, 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), _u2831), _u2832)), _u2833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2833), _u2831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2832)) )).
% 13.06/13.30 cnf(matrix-2122, 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), _u2834), _u2835)), _u2836)), 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)), _u2836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2834)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2835), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2123, 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), _u2837), _u2838)), _u2839)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2837), _u2840)), _u2841))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2839), _u2837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2841), _u2837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2838), _u2840)) )).
% 13.06/13.30 cnf(matrix-2124, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2842), _u2843)), _u2844) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2845), _u2846)), _u2847)) | ~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), _u2845), _u2846)), _u2847))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2847), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2845), _u2842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2843), _u2846)) )).
% 13.06/13.30 cnf(matrix-2125, 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), _u2848), _u2849)), _u2850)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2848), _u2851)), _u2852))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2852), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2848), _u2852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2848), _u2850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2851), _u2849)) )).
% 13.06/13.30 cnf(matrix-2126, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2853), _u2854)), _u2855) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2856), _u2857)), _u2858)) | ~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), _u2856), _u2857)), _u2858)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2855), _u2853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2856), _u2853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2857), _u2854)) )).
% 13.06/13.30 cnf(matrix-2127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2860), _u2861)) )).
% 13.06/13.30 cnf(matrix-2128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2860), _u2861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2859), _u2861))) )).
% 13.06/13.30 cnf(matrix-2129, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2862), _u2862)) )).
% 13.06/13.30 cnf(matrix-2130, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2863), _u2864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2864), _u2863)) )).
% 13.06/13.30 cnf(matrix-2131, plain, ( ( _u2865 != _u2866) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2865), _u2866)) )).
% 13.06/13.30 cnf(matrix-2132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2867), _u2868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2868), _u2869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2867), _u2869)) )).
% 13.06/13.30 cnf(matrix-2133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2870), _u2871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2871), _u2870)) | ( _u2870 = _u2871) )).
% 13.06/13.30 cnf(matrix-2134, plain, ( ~class_Orderings_Oord(_u2872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2873, _u2872)), _u2874), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2874), _u2875)) )).
% 13.06/13.30 cnf(matrix-2135, plain, ( ~class_Orderings_Oord(_u2872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2873, _u2872)), _u2874), _u2875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2875), _u2874)) )).
% 13.06/13.30 cnf(matrix-2136, plain, ( ~class_Orderings_Oord(_u2872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2874), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2873, _u2872)), _u2875), _u2874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2873, _u2872)), _u2874), _u2875)) )).
% 13.06/13.30 cnf(matrix-2137, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2879), _u2881) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2879), _u2883)) | ( _u2879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2881 = _u2883) )).
% 13.06/13.30 cnf(matrix-2138, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2882) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2884)) | ( _u2880 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.30 cnf(matrix-2139, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2882) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2880), _u2884)) | ( _u2882 != _u2884) )).
% 13.06/13.30 cnf(matrix-2140, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2885), _u2886)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2887), _u2886)), _u2888)) = 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), _u2885), _u2887)), _u2886)), _u2888)) )).
% 13.06/13.30 cnf(matrix-2141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2890)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2890), _u2891)) )).
% 13.06/13.30 cnf(matrix-2142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2890), _u2891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2890)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2889), _u2891))) )).
% 13.06/13.30 cnf(matrix-2143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2892)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2893) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2894)) | ( _u2893 = _u2894) )).
% 13.06/13.30 cnf(matrix-2144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2892)) | ( _u2893 != _u2894) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2893) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2892), _u2894)) )).
% 13.06/13.30 cnf(matrix-2145, 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))) )).
% 13.06/13.30 cnf(matrix-2146, plain, ( ~class_Lattices_Oboolean__algebra(_u2895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2896)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2897))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), _u2897), _u2896)) )).
% 13.06/13.30 cnf(matrix-2147, plain, ( ~class_Lattices_Oboolean__algebra(_u2895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), _u2897), _u2896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2895), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2896)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2895), _u2897))) )).
% 13.06/13.30 cnf(matrix-2148, plain, ( ~class_Lattices_Oboolean__algebra(_u2898) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2898), _u2899), _u2900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2898), hAPP(c_Groups_Ouminus__class_Ouminus(_u2898), _u2900)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2898), _u2899))) )).
% 13.06/13.30 cnf(matrix-2149, plain, ( hBOOL(hAPP(_u2903, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2903, _u2904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem51(_u2904, _u2903)), _u2904)) )).
% 13.06/13.30 cnf(matrix-2150, plain, ( hBOOL(hAPP(_u2903, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2903, _u2904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2901), skolem51(_u2904, _u2903))) | ~hBOOL(hAPP(_u2903, _u2901)) )).
% 13.06/13.30 cnf(matrix-2151, plain, ( hBOOL(hAPP(_u2903, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2903, _u2904)) | hBOOL(hAPP(_u2903, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem51(_u2904, _u2903)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.06/13.30 cnf(matrix-2152, plain, ( ( _u2905 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2906), _u2907)), _u2908)) | ( _u2906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2905, _u2906) = _u2908) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2906), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2908), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2153, plain, ( ( _u2905 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2906), _u2907)), _u2908)) | ( _u2906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2905, _u2906) = _u2908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2908), _u2906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2906)) )).
% 13.06/13.30 cnf(matrix-2154, plain, ( ( _u2905 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2906), _u2907)), _u2908)) | ( _u2906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2905, _u2906) = _u2908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2908), _u2906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2906), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2908), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2910), _u2911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2911), 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), _u2910), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2912, _u2909))), _u2911)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2914), _u2915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2915), 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), _u2914), _u2913)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2914), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2916, _u2913))), _u2915))) )).
% 13.06/13.30 cnf(matrix-2157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2918), _u2919)) | 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), _u2919), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2920, _u2917))), _u2918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2919), _u2917))) )).
% 13.06/13.30 cnf(matrix-2158, plain, ( ~class_Divides_Osemiring__div(_u2921) | ( c_Divides_Odiv__class_Omod(_u2921, c_Divides_Odiv__class_Omod(_u2921, _u2922, _u2923), _u2923) = c_Divides_Odiv__class_Omod(_u2921, _u2922, _u2923)) )).
% 13.06/13.30 cnf(matrix-2159, plain, ( ~class_Divides_Osemiring__div(_u2924) | ( c_Divides_Odiv__class_Omod(_u2924, c_Groups_Ozero__class_Ozero(_u2924), _u2925) = c_Groups_Ozero__class_Ozero(_u2924)) )).
% 13.06/13.30 cnf(matrix-2160, plain, ( ~class_Divides_Osemiring__div(_u2926) | ( c_Divides_Odiv__class_Omod(_u2926, _u2927, c_Groups_Ozero__class_Ozero(_u2926)) = _u2927) )).
% 13.06/13.30 cnf(matrix-2161, plain, ( ~class_Divides_Osemiring__div(_u2928) | ( c_Divides_Odiv__class_Omod(_u2928, _u2929, _u2929) = c_Groups_Ozero__class_Ozero(_u2928)) )).
% 13.06/13.30 cnf(matrix-2162, plain, ( ~class_Divides_Osemiring__div(_u2930) | ( c_Divides_Odiv__class_Omod(_u2930, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2930), _u2931), _u2932), _u2932) = c_Divides_Odiv__class_Omod(_u2930, _u2931, _u2932)) )).
% 13.06/13.30 cnf(matrix-2163, plain, ( ~class_Divides_Osemiring__div(_u2933) | ( c_Divides_Odiv__class_Omod(_u2933, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), _u2934), _u2935), _u2934) = c_Divides_Odiv__class_Omod(_u2933, _u2935, _u2934)) )).
% 13.06/13.30 cnf(matrix-2164, plain, ( ~class_Divides_Osemiring__div(_u2936) | ( c_Divides_Odiv__class_Omod(_u2936, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2936), _u2937), _u2938), _u2939) = c_Divides_Odiv__class_Omod(_u2936, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2936), _u2937), c_Divides_Odiv__class_Omod(_u2936, _u2938, _u2939)), _u2939)) )).
% 13.06/13.30 cnf(matrix-2165, plain, ( ~class_Divides_Osemiring__div(_u2940) | ( c_Divides_Odiv__class_Omod(_u2940, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2940), _u2941), _u2942), _u2943) = c_Divides_Odiv__class_Omod(_u2940, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2940), c_Divides_Odiv__class_Omod(_u2940, _u2941, _u2943)), _u2942), _u2943)) )).
% 13.06/13.30 cnf(matrix-2166, plain, ( ~class_Divides_Osemiring__div(_u2944) | ( c_Divides_Odiv__class_Omod(_u2944, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2944), _u2945), _u2946), _u2947) = c_Divides_Odiv__class_Omod(_u2944, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2944), c_Divides_Odiv__class_Omod(_u2944, _u2945, _u2947)), c_Divides_Odiv__class_Omod(_u2944, _u2946, _u2947)), _u2947)) )).
% 13.06/13.30 cnf(matrix-2167, plain, ( ~class_Divides_Osemiring__div(_u2948) | ( c_Divides_Odiv__class_Omod(_u2948, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2948), _u2949), c_Divides_Odiv__class_Omod(_u2948, _u2950, _u2951)), _u2951) = c_Divides_Odiv__class_Omod(_u2948, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2948), _u2949), _u2950), _u2951)) )).
% 13.06/13.30 cnf(matrix-2168, plain, ( ~class_Divides_Osemiring__div(_u2952) | ( c_Divides_Odiv__class_Omod(_u2952, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2952), c_Divides_Odiv__class_Omod(_u2952, _u2953, _u2954)), _u2955), _u2954) = c_Divides_Odiv__class_Omod(_u2952, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2952), _u2953), _u2955), _u2954)) )).
% 13.06/13.30 cnf(matrix-2169, plain, ( ~class_Divides_Osemiring__div(_u2956) | ( c_Divides_Odiv__class_Omod(_u2956, _u2957, _u2958) != c_Divides_Odiv__class_Omod(_u2956, _u2959, _u2958)) | ( c_Divides_Odiv__class_Omod(_u2956, _u2960, _u2958) != c_Divides_Odiv__class_Omod(_u2956, _u2961, _u2958)) | ( c_Divides_Odiv__class_Omod(_u2956, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2956), _u2957), _u2960), _u2958) = c_Divides_Odiv__class_Omod(_u2956, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2956), _u2959), _u2961), _u2958)) )).
% 13.06/13.30 cnf(matrix-2170, plain, ( ~class_Divides_Osemiring__div(_u2962) | ( c_Divides_Odiv__class_Omod(_u2962, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2962), _u2963), _u2964), _u2965) = c_Divides_Odiv__class_Omod(_u2962, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2962), _u2963), c_Divides_Odiv__class_Omod(_u2962, _u2964, _u2965)), _u2965)) )).
% 13.06/13.30 cnf(matrix-2171, plain, ( ~class_Divides_Osemiring__div(_u2966) | ( c_Divides_Odiv__class_Omod(_u2966, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), _u2967), _u2968), _u2969) = c_Divides_Odiv__class_Omod(_u2966, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2966), c_Divides_Odiv__class_Omod(_u2966, _u2967, _u2969)), _u2968), _u2969)) )).
% 13.06/13.30 cnf(matrix-2172, plain, ( ~class_Divides_Osemiring__div(_u2970) | ( c_Divides_Odiv__class_Omod(_u2970, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), _u2971), _u2972), _u2973) = c_Divides_Odiv__class_Omod(_u2970, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2970), c_Divides_Odiv__class_Omod(_u2970, _u2971, _u2973)), c_Divides_Odiv__class_Omod(_u2970, _u2972, _u2973)), _u2973)) )).
% 13.06/13.30 cnf(matrix-2173, plain, ( ~class_Divides_Osemiring__div(_u2974) | ( c_Divides_Odiv__class_Omod(_u2974, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2976), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), _u2977)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2974), _u2975), c_Divides_Odiv__class_Omod(_u2974, _u2976, _u2977))) )).
% 13.06/13.30 cnf(matrix-2174, plain, ( ~class_Divides_Osemiring__div(_u2978) | ( c_Divides_Odiv__class_Omod(_u2978, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2979), _u2980), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), _u2981), _u2980)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2978), c_Divides_Odiv__class_Omod(_u2978, _u2979, _u2981)), _u2980)) )).
% 13.06/13.30 cnf(matrix-2175, plain, ( ~class_Divides_Osemiring__div(_u2982) | ( c_Divides_Odiv__class_Omod(_u2982, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), c_Divides_Odiv__class_Omod(_u2982, _u2983, _u2984)), _u2985), _u2984) = c_Divides_Odiv__class_Omod(_u2982, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2982), _u2983), _u2985), _u2984)) )).
% 13.06/13.30 cnf(matrix-2176, plain, ( ~class_Divides_Osemiring__div(_u2986) | ( c_Divides_Odiv__class_Omod(_u2986, _u2987, _u2988) != c_Divides_Odiv__class_Omod(_u2986, _u2989, _u2988)) | ( c_Divides_Odiv__class_Omod(_u2986, _u2990, _u2988) != c_Divides_Odiv__class_Omod(_u2986, _u2991, _u2988)) | ( c_Divides_Odiv__class_Omod(_u2986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2987), _u2990), _u2988) = c_Divides_Odiv__class_Omod(_u2986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2986), _u2989), _u2991), _u2988)) )).
% 13.06/13.30 cnf(matrix-2177, plain, ( ~class_Divides_Oring__div(_u2992) | ( c_Divides_Odiv__class_Omod(_u2992, hAPP(c_Groups_Ouminus__class_Ouminus(_u2992), _u2993), _u2994) = c_Divides_Odiv__class_Omod(_u2992, hAPP(c_Groups_Ouminus__class_Ouminus(_u2992), c_Divides_Odiv__class_Omod(_u2992, _u2993, _u2994)), _u2994)) )).
% 13.06/13.30 cnf(matrix-2178, plain, ( ~class_Divides_Oring__div(_u2995) | ( c_Divides_Odiv__class_Omod(_u2995, _u2996, _u2997) != c_Divides_Odiv__class_Omod(_u2995, _u2998, _u2997)) | ( c_Divides_Odiv__class_Omod(_u2995, hAPP(c_Groups_Ouminus__class_Ouminus(_u2995), _u2996), _u2997) = c_Divides_Odiv__class_Omod(_u2995, hAPP(c_Groups_Ouminus__class_Ouminus(_u2995), _u2998), _u2997)) )).
% 13.06/13.30 cnf(matrix-2179, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2999, _u2999) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-2180, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3000) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-2181, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3001), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3002, _u3003)), _u3003) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3001), _u3002), _u3003)) )).
% 13.06/13.30 cnf(matrix-2182, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3004), _u3005), _u3006) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3004), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3005, _u3006)), _u3006)) )).
% 13.06/13.30 cnf(matrix-2183, 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, _u3007, _u3008)), _u3008) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3007), _u3008)) )).
% 13.06/13.30 cnf(matrix-2184, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3009), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3010)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3009, _u3010))) )).
% 13.06/13.30 cnf(matrix-2185, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3011, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3012)) = 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), _u3011), _u3012))) )).
% 13.06/13.30 cnf(matrix-2186, plain, ( ~class_Divides_Osemiring__div(_u3013) | ( c_Divides_Odiv__class_Omod(_u3013, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3013), _u3014), _u3015), _u3015) = c_Groups_Ozero__class_Ozero(_u3013)) )).
% 13.06/13.30 cnf(matrix-2187, plain, ( ~class_Divides_Osemiring__div(_u3016) | ( c_Divides_Odiv__class_Omod(_u3016, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3016), _u3017), _u3018), _u3017) = c_Groups_Ozero__class_Ozero(_u3016)) )).
% 13.06/13.30 cnf(matrix-2188, plain, ( ~class_Divides_Osemiring__div(_u3019) | ( c_Divides_Odiv__class_Omod(_u3019, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3019), _u3020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3019), _u3021), _u3022)), _u3021) = c_Divides_Odiv__class_Omod(_u3019, _u3020, _u3021)) )).
% 13.06/13.30 cnf(matrix-2189, plain, ( ~class_Divides_Osemiring__div(_u3023) | ( c_Divides_Odiv__class_Omod(_u3023, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3023), _u3024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3023), _u3025), _u3026)), _u3026) = c_Divides_Odiv__class_Omod(_u3023, _u3024, _u3026)) )).
% 13.06/13.30 cnf(matrix-2190, plain, ( ~class_Divides_Osemiring__div(_u3027) | ( c_Divides_Odiv__class_Omod(_u3027, _u3028, c_Groups_Oone__class_Oone(_u3027)) = c_Groups_Ozero__class_Ozero(_u3027)) )).
% 13.06/13.30 cnf(matrix-2191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3029, _u3030)), _u3029)) )).
% 13.06/13.30 cnf(matrix-2192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3032)) | 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, _u3031, _u3032))) )).
% 13.06/13.30 cnf(matrix-2193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3033)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3034, _u3033)), _u3033)) )).
% 13.06/13.30 cnf(matrix-2194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3035), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3035), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3036, _u3035))) )).
% 13.06/13.30 cnf(matrix-2195, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3041, _u3043) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3041 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3043), skolem52(_u3043, _u3041))) )).
% 13.06/13.30 cnf(matrix-2196, plain, ( ( _u3042 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3044), _u3038)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3042, _u3044) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-2197, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3045, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3046)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3045, _u3046) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-2198, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3047), _u3048) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3047, _u3048) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.30 cnf(matrix-2199, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3049)) | 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, _u3050, _u3049))) )).
% 13.06/13.30 cnf(matrix-2200, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3051)) | 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, _u3052, _u3051))) )).
% 13.06/13.30 cnf(matrix-2201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3052, _u3051)), _u3051)) )).
% 13.06/13.30 cnf(matrix-2202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3053), _u3054)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3053, _u3054) = _u3053) )).
% 13.06/13.30 cnf(matrix-2203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3055), 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, _u3056, _u3055)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3057), 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, _u3058, _u3057)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3057), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3057), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3058, _u3057))) )).
% 13.06/13.30 cnf(matrix-2206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3059), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3060), _u3059)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3059, _u3060) = _u3059) )).
% 13.06/13.30 cnf(matrix-2207, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3061) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3061), _u3062), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3061), _u3062), _u3063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3061), _u3062), _u3063)) )).
% 13.06/13.30 cnf(matrix-2208, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3064) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3064), _u3065), _u3065) = _u3065) )).
% 13.06/13.30 cnf(matrix-2209, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3066) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3066), _u3067), _u3067) = _u3067) )).
% 13.06/13.30 cnf(matrix-2210, plain, ( ~class_Lattices_Oboolean__algebra(_u3068) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3069) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3070)) | ( _u3069 = _u3070) )).
% 13.06/13.30 cnf(matrix-2211, plain, ( ~class_Lattices_Oboolean__algebra(_u3068) | ( _u3069 != _u3070) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3069) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3068), _u3070)) )).
% 13.06/13.30 cnf(matrix-2212, plain, ( ~class_Groups_Ouminus(_u3071) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3072, _u3071)), _u3073), _u3074) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3071), hAPP(_u3073, _u3074))) )).
% 13.06/13.30 cnf(matrix-2213, plain, ( ~class_Lattices_Oboolean__algebra(_u3075) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3075), hAPP(c_Groups_Ouminus__class_Ouminus(_u3075), _u3076)) = _u3076) )).
% 13.06/13.30 cnf(matrix-2214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3077), _u3078)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3077, _u3078) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3077), _u3078)) )).
% 13.06/13.30 cnf(matrix-2215, plain, ( ~hBOOL(hAPP(_u3090, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3092, _u3094))) | ( _u3094 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3090, _u3092)) )).
% 13.06/13.30 cnf(matrix-2216, plain, ( ~hBOOL(hAPP(_u3090, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3092, _u3094))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3079), _u3094)) | ( _u3092 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3094), _u3080)), _u3079)) | hBOOL(hAPP(_u3090, _u3079)) )).
% 13.06/13.30 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(_u3090, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3092, _u3094))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3094), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3094), _u3081)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3081), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3092 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3094), _u3082)), _u3081)) | hBOOL(hAPP(_u3090, _u3081)) )).
% 13.06/13.30 cnf(matrix-2218, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2219, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2220, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2221, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2222, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2223, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2224, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2225, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2226, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2227, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2228, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2229, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2230, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2231, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2232, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2233, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2234, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2235, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2236, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2237, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2238, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2239, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2240, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2241, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2242, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2243, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2244, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = 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)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2245, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2246, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2247, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ( _u3095 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2248, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2249, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2250, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2251, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2252, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3095), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2253, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2254, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2255, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2256, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2257, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem56(_u3095, _u3093, _u3091)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2258, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2259, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2260, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2261, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2262, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem55(_u3095, _u3093, _u3091))), skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2263, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2264, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2265, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem54(_u3095, _u3093, _u3091)), _u3095)) )).
% 13.06/13.30 cnf(matrix-2266, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ( _u3093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3095), skolem53(_u3095, _u3093, _u3091))), skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2267, plain, ( hBOOL(hAPP(_u3091, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3093, _u3095))) | ~hBOOL(hAPP(_u3091, skolem56(_u3095, _u3093, _u3091))) | ~hBOOL(hAPP(_u3091, _u3093)) | ~hBOOL(hAPP(_u3091, skolem54(_u3095, _u3093, _u3091))) )).
% 13.06/13.30 cnf(matrix-2268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3097), _u3098)) | 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), _u3098), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3099, _u3096))), _u3097))) )).
% 13.06/13.30 cnf(matrix-2269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3102)) | ( c_SMT_Oz3mod(_u3104, _u3102) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3104, _u3102)) )).
% 13.06/13.30 cnf(matrix-2270, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3103)) | ( c_SMT_Oz3mod(_u3105, _u3103) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3105, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3103))) )).
% 13.06/13.30 cnf(matrix-2271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3110)) | ~hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3106), _u3110)) | ( _u3112 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3110), _u3107)), _u3106)) | hBOOL(hAPP(hAPP(_u3111, _u3107), _u3106)) )).
% 13.06/13.30 cnf(matrix-2272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem58(_u3112, _u3111, _u3110))) )).
% 13.06/13.30 cnf(matrix-2273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem58(_u3112, _u3111, _u3110)), _u3110)) )).
% 13.06/13.30 cnf(matrix-2274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | ( _u3112 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3110), skolem57(_u3112, _u3111, _u3110))), skolem58(_u3112, _u3111, _u3110))) )).
% 13.06/13.30 cnf(matrix-2275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3110)) | hBOOL(hAPP(hAPP(_u3111, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3112), _u3110)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3112, _u3110))) | ~hBOOL(hAPP(hAPP(_u3111, skolem57(_u3112, _u3111, _u3110)), skolem58(_u3112, _u3111, _u3110))) )).
% 13.06/13.30 cnf(matrix-2276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), _u3113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3113), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3119 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3117), _u3114)), _u3113)) | hBOOL(hAPP(hAPP(_u3118, _u3114), _u3113)) )).
% 13.06/13.30 cnf(matrix-2277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), skolem60(_u3119, _u3118, _u3117))) )).
% 13.06/13.30 cnf(matrix-2278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem60(_u3119, _u3118, _u3117)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | ( _u3119 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3117), skolem59(_u3119, _u3118, _u3117))), skolem60(_u3119, _u3118, _u3117))) )).
% 13.06/13.30 cnf(matrix-2280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3118, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3119), _u3117)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3119, _u3117))) | ~hBOOL(hAPP(hAPP(_u3118, skolem59(_u3119, _u3118, _u3117)), skolem60(_u3119, _u3118, _u3117))) )).
% 13.06/13.30 cnf(matrix-2281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3120)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3121, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3122), _u3120)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3122), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3121), _u3122), _u3120))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3121, _u3122))) )).
% 13.06/13.30 cnf(matrix-2282, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3123, _u3124))) )).
% 13.06/13.30 cnf(matrix-2283, plain, ( ~hBOOL(hAPP(_u3136, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3138), _u3140))) | ( _u3140 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3136, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.30 cnf(matrix-2284, plain, ( ~hBOOL(hAPP(_u3136, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3138), _u3140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3125), _u3140)) | ( _u3138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3140), _u3126)), _u3125)) | hBOOL(hAPP(_u3136, _u3126)) )).
% 13.06/13.30 cnf(matrix-2285, plain, ( ~hBOOL(hAPP(_u3136, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3138), _u3140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3140), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3140), _u3127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3127), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3140), _u3128)), _u3127)) | hBOOL(hAPP(_u3136, _u3128)) )).
% 13.06/13.30 cnf(matrix-2286, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.30 cnf(matrix-2287, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.30 cnf(matrix-2288, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.30 cnf(matrix-2289, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.30 cnf(matrix-2290, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.30 cnf(matrix-2291, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.30 cnf(matrix-2292, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.30 cnf(matrix-2293, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.30 cnf(matrix-2294, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.30 cnf(matrix-2295, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.30 cnf(matrix-2296, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.30 cnf(matrix-2297, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.30 cnf(matrix-2298, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.30 cnf(matrix-2299, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2300, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2301, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2302, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2303, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2304, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2305, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2306, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2307, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2308, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2309, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2310, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2311, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2312, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2313, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2314, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2315, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ( _u3141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2316, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2317, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2318, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2319, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2320, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3141), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2321, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2322, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2323, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2324, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2325, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem64(_u3141, _u3139, _u3137)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2326, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2327, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2328, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2329, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2330, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem63(_u3141, _u3139, _u3137))), skolem64(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2331, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2332, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, 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)), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2333, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem62(_u3141, _u3139, _u3137)), _u3141)) )).
% 13.06/13.31 cnf(matrix-2334, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3141), skolem61(_u3141, _u3139, _u3137))), skolem62(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2335, plain, ( hBOOL(hAPP(_u3137, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3139), _u3141))) | ~hBOOL(hAPP(_u3137, skolem63(_u3141, _u3139, _u3137))) | ~hBOOL(hAPP(_u3137, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3137, skolem61(_u3141, _u3139, _u3137))) )).
% 13.06/13.31 cnf(matrix-2336, plain, ( ( _u3142 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3144)), _u3145)) | ( _u3143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3143) = _u3144) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3145), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2337, plain, ( ( _u3142 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3144)), _u3145)) | ( _u3143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3143) = _u3144) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3145), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3143)) )).
% 13.06/13.31 cnf(matrix-2338, plain, ( ( _u3142 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3144)), _u3145)) | ( _u3143 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3143) = _u3144) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3145), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), _u3145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3145), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2339, plain, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | ( _u3155 = 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), _u3155), skolem65(_u3155, _u3153, _u3151))), _u3153)) )).
% 13.06/13.31 cnf(matrix-2340, plain, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | ( _u3155 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3155), hAPP(c_Nat_OSuc, skolem65(_u3155, _u3153, _u3151))))) )).
% 13.06/13.31 cnf(matrix-2341, plain, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | ( _u3155 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3151, skolem65(_u3155, _u3153, _u3151))) )).
% 13.06/13.31 cnf(matrix-2342, plain, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | hBOOL(hAPP(_u3151, 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), _u3155), skolem65(_u3155, _u3153, _u3151))), _u3153)) )).
% 13.06/13.31 cnf(matrix-2343, plain, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | hBOOL(hAPP(_u3151, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3155), hAPP(c_Nat_OSuc, skolem65(_u3155, _u3153, _u3151))))) )).
% 13.06/13.31 cnf(matrix-2344, plain, ( ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3153), _u3155))) | hBOOL(hAPP(_u3151, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3151, skolem65(_u3155, _u3153, _u3151))) )).
% 13.06/13.31 cnf(matrix-2345, plain, ( hBOOL(hAPP(_u3152, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3154), _u3156))) | ( _u3156 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3152, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2346, plain, ( hBOOL(hAPP(_u3152, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3154), _u3156))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3156), _u3147)), _u3154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3154), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3156), hAPP(c_Nat_OSuc, _u3147)))) | ~hBOOL(hAPP(_u3152, _u3147)) )).
% 13.06/13.31 cnf(matrix-2347, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3157), _u3158)), _u3159) = 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), _u3157), _u3159)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3158), _u3159))), 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, _u3157, _u3159)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3158, _u3159))), _u3159))) )).
% 13.06/13.31 cnf(matrix-2348, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3160)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3161)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3160), _u3161))) )).
% 13.06/13.31 cnf(matrix-2349, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3162), _u3163)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3162)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3163))) )).
% 13.06/13.31 cnf(matrix-2350, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3164, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3165), _u3166)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3165), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3164), _u3165), _u3166))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3164, _u3165))) )).
% 13.06/13.31 cnf(matrix-2351, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), _u3168)), _u3169) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3168), _u3169))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3167), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3168, _u3169))), _u3169))) )).
% 13.06/13.31 cnf(matrix-2352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3170), _u3171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3170), _u3172)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3171), _u3172))) )).
% 13.06/13.31 cnf(matrix-2353, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3173), _u3174)), _u3173)) )).
% 13.06/13.31 cnf(matrix-2354, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3175) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2355, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3176), _u3177) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3176, _u3177)), _u3177)) )).
% 13.06/13.31 cnf(matrix-2356, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3179), _u3180)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3178), _u3179)), _u3180)) )).
% 13.06/13.31 cnf(matrix-2357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3181), _u3182)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3181, _u3182) = _u3181) )).
% 13.06/13.31 cnf(matrix-2358, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3183, _u3184)), _u3183)) )).
% 13.06/13.31 cnf(matrix-2359, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3185, _u3186)), _u3187) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3185), _u3187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3186), _u3187))) )).
% 13.06/13.31 cnf(matrix-2360, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3189, _u3190)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), _u3189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), _u3190))) )).
% 13.06/13.31 cnf(matrix-2361, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3191), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3192)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3191)), _u3192)) )).
% 13.06/13.31 cnf(matrix-2362, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3193)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3194)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3193), _u3194)) )).
% 13.06/13.31 cnf(matrix-2363, plain, ( ~class_Divides_Osemiring__div(_u3195) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3195), c_Groups_Ozero__class_Ozero(_u3195)), _u3196) = c_Groups_Ozero__class_Ozero(_u3195)) )).
% 13.06/13.31 cnf(matrix-2364, plain, ( ~class_Divides_Osemiring__div(_u3197) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3197), _u3198), c_Groups_Ozero__class_Ozero(_u3197)) = c_Groups_Ozero__class_Ozero(_u3197)) )).
% 13.06/13.31 cnf(matrix-2365, plain, ( ~class_Divides_Osemiring__div(_u3199) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3199), _u3200), c_Groups_Oone__class_Oone(_u3199)) = _u3200) )).
% 13.06/13.31 cnf(matrix-2366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3201)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3201), _u3202)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3201)), hAPP(c_Int_Onat, _u3202))) )).
% 13.06/13.31 cnf(matrix-2367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3204)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3203)), hAPP(c_Int_Onat, _u3204)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3203), _u3204))) )).
% 13.06/13.31 cnf(matrix-2368, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3205), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3205) )).
% 13.06/13.31 cnf(matrix-2369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3206), _u3207)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3206), _u3207) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2370, plain, ( ( _u3211 != 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), _u3211), _u3213)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3211), _u3215)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2371, plain, ( ( _u3212 = 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), _u3212), _u3214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3212), _u3216)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3214), _u3216)) )).
% 13.06/13.31 cnf(matrix-2372, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3217, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2373, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3220, _u3222)) != _u3222) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3220), _u3222) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2374, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3221, _u3223)) = _u3223) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3221), _u3223) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3221, _u3223))) )).
% 13.06/13.31 cnf(matrix-2375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3225)) | 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), _u3224), _u3225))) )).
% 13.06/13.31 cnf(matrix-2376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3227, _u3226)), _u3226)) )).
% 13.06/13.31 cnf(matrix-2377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3228), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3228), _u3229)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3230), 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), _u3231), _u3230)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3231)) )).
% 13.06/13.31 cnf(matrix-2379, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3230), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3231), _u3230)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3233), _u3232)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2381, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), 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), _u3233), _u3232)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2382, plain, ( ( _u3234 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3234), _u3234) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2383, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3239, _u3241) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3239 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3241), skolem66(_u3241, _u3239))) )).
% 13.06/13.31 cnf(matrix-2384, plain, ( ( _u3240 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3242), _u3236)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3240, _u3242) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2385, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3244), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2386, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3245, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3245) )).
% 13.06/13.31 cnf(matrix-2387, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3246, _u3247)), _u3247) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2388, 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), _u3248), _u3249)), _u3250), _u3249) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3250, _u3249)) )).
% 13.06/13.31 cnf(matrix-2389, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3251), _u3252)), _u3253) = 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), _u3251), _u3253)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3252), _u3253))), 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, _u3251, _u3253)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3252, _u3253))), _u3253))) )).
% 13.06/13.31 cnf(matrix-2390, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3254), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3255)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3254, _u3255))) )).
% 13.06/13.31 cnf(matrix-2391, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3256, _u3257)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3256), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3257))) )).
% 13.06/13.31 cnf(matrix-2392, plain, ( ~class_Divides_Osemiring__div(_u3258) | ( _u3259 = c_Groups_Ozero__class_Ozero(_u3258)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3258), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3258), _u3259), _u3260)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3258), _u3259), _u3261)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3258), _u3260), _u3261)) )).
% 13.06/13.31 cnf(matrix-2393, plain, ( ~class_Divides_Osemiring__div(_u3262) | ( _u3263 = c_Groups_Ozero__class_Ozero(_u3262)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3262), _u3264), _u3263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3262), _u3265), _u3263)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3262), _u3264), _u3265)) )).
% 13.06/13.31 cnf(matrix-2394, plain, ( ~class_Divides_Osemiring__div(_u3266) | ( _u3267 = c_Groups_Ozero__class_Ozero(_u3266)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3266), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3266), _u3267), _u3268)), _u3267) = _u3268) )).
% 13.06/13.31 cnf(matrix-2395, plain, ( ~class_Divides_Osemiring__div(_u3269) | ( _u3270 = c_Groups_Ozero__class_Ozero(_u3269)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), _u3271), _u3270)), _u3270) = _u3271) )).
% 13.06/13.31 cnf(matrix-2396, plain, ( ~class_Divides_Osemiring__div(_u3272) | ( _u3273 != c_Groups_Ozero__class_Ozero(_u3272)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3275)) = c_Groups_Ozero__class_Ozero(_u3272)) )).
% 13.06/13.31 cnf(matrix-2397, plain, ( ~class_Divides_Osemiring__div(_u3272) | ( _u3273 = c_Groups_Ozero__class_Ozero(_u3272)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3274)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3273), _u3275)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), _u3274), _u3275)) )).
% 13.06/13.31 cnf(matrix-2398, plain, ( ~class_Divides_Osemiring__div(_u3276) | ( _u3277 = c_Groups_Ozero__class_Ozero(_u3276)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3276), _u3277), _u3277) = c_Groups_Oone__class_Oone(_u3276)) )).
% 13.06/13.31 cnf(matrix-2399, plain, ( ~class_Divides_Osemiring__div(_u3278) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3278), c_Divides_Odiv__class_Omod(_u3278, _u3279, _u3280)), _u3280) = c_Groups_Ozero__class_Ozero(_u3278)) )).
% 13.06/13.31 cnf(matrix-2400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3281)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3281), _u3282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3283), _u3282)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3283), _u3281))) )).
% 13.06/13.31 cnf(matrix-2401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3284)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3284), _u3285)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3284), _u3286)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3285), _u3286)) )).
% 13.06/13.31 cnf(matrix-2402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3287)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3287), _u3288)), _u3287) = _u3288) )).
% 13.06/13.31 cnf(matrix-2403, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3289)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3290), _u3289)), _u3289) = _u3290) )).
% 13.06/13.31 cnf(matrix-2404, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3292), _u3291)), _u3292)) )).
% 13.06/13.31 cnf(matrix-2405, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3293), _u3294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3295), 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), _u3294), _u3295)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3293), _u3295))) )).
% 13.06/13.31 cnf(matrix-2406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3296), _u3297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3298)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3296), _u3298)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3297), _u3298))) )).
% 13.06/13.31 cnf(matrix-2407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3299), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3300), _u3299)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3299), _u3300) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3301), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3302), _u3303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3301), _u3302)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3301), _u3303))) )).
% 13.06/13.31 cnf(matrix-2409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3304), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3304), _u3305)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3306), 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), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3307), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3306), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3307), 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), _u3307), _u3306))) )).
% 13.06/13.31 cnf(matrix-2412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3308), _u3309)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3308), _u3309) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3311), 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), _u3310), _u3311)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2414, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3313), _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3312), _u3314)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3312), _u3313))) )).
% 13.06/13.31 cnf(matrix-2415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3315)) | ~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), _u3315), _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3316), _u3315)) )).
% 13.06/13.31 cnf(matrix-2416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3315)) | ~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), _u3315), _u3316))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) )).
% 13.06/13.31 cnf(matrix-2417, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3316), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) | 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), _u3315), _u3316))) )).
% 13.06/13.31 cnf(matrix-2418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3317)) | ~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), _u3318), _u3317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3317), _u3318)) )).
% 13.06/13.31 cnf(matrix-2419, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3317), _u3318)) | 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), _u3318), _u3317))) )).
% 13.06/13.31 cnf(matrix-2420, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3319)) | ~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), _u3320), _u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3320)) )).
% 13.06/13.31 cnf(matrix-2421, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3320)) | 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), _u3320), _u3319))) )).
% 13.06/13.31 cnf(matrix-2422, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = 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)), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3323), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2423, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = 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)), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3325), _u3323)) )).
% 13.06/13.31 cnf(matrix-2424, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3323), _u3325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3323), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2425, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3323), _u3325) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3325 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3323), _u3325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3325), _u3323)) )).
% 13.06/13.31 cnf(matrix-2426, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3324), _u3326) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3326 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2427, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3324), _u3326) = 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)), _u3324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3324), _u3326)) )).
% 13.06/13.31 cnf(matrix-2428, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3324), _u3326) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3324), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3326), _u3324)) )).
% 13.06/13.31 cnf(matrix-2429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3328, _u3327)), _u3327)) )).
% 13.06/13.31 cnf(matrix-2430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3329), _u3330)), _u3329)) )).
% 13.06/13.31 cnf(matrix-2431, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3331)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3333), _u3331)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3332), _u3333)), _u3331)) )).
% 13.06/13.31 cnf(matrix-2432, 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), _u3334), _u3335)), _u3336)), _u3335) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3336), _u3335)) )).
% 13.06/13.31 cnf(matrix-2433, 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), _u3337), _u3338)), _u3338)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3337, _u3338))), _u3339) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3337), _u3339)) )).
% 13.06/13.31 cnf(matrix-2434, 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), _u3340), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3341), _u3340))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3341, _u3340))), _u3342) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3341), _u3342)) )).
% 13.06/13.31 cnf(matrix-2435, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), _u3344)), _u3345) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3344), _u3345))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3343), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3344, _u3345))), _u3345))) )).
% 13.06/13.31 cnf(matrix-2436, plain, ( ( _u3346 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3347), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3346), _u3347))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3346, _u3347))) )).
% 13.06/13.31 cnf(matrix-2437, plain, ( ~class_Divides_Osemiring__div(_u3348) | ( _u3349 = c_Groups_Ozero__class_Ozero(_u3348)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3348), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3348), _u3350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3348), _u3351), _u3349))), _u3349) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3348), _u3351), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3348), _u3350), _u3349))) )).
% 13.06/13.31 cnf(matrix-2438, plain, ( ~class_Divides_Osemiring__div(_u3352) | ( _u3353 = c_Groups_Ozero__class_Ozero(_u3352)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3352), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3352), _u3354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3352), _u3353), _u3355))), _u3353) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3352), _u3355), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3352), _u3354), _u3353))) )).
% 13.06/13.31 cnf(matrix-2439, plain, ( ~class_Divides_Osemiring__div(_u3356) | ( _u3357 = c_Groups_Ozero__class_Ozero(_u3356)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3356), _u3357), _u3358)), _u3357) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3356), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3356), _u3358), _u3357)), c_Groups_Oone__class_Oone(_u3356))) )).
% 13.06/13.31 cnf(matrix-2440, plain, ( ~class_Divides_Osemiring__div(_u3359) | ( _u3360 = c_Groups_Ozero__class_Ozero(_u3359)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), _u3361), _u3360)), _u3360) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), _u3361), _u3360)), c_Groups_Oone__class_Oone(_u3359))) )).
% 13.06/13.31 cnf(matrix-2441, plain, ( ~class_Divides_Osemiring__div(_u3362) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3362), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3362), _u3363), _u3364)), _u3364)), c_Divides_Odiv__class_Omod(_u3362, _u3363, _u3364))), _u3365) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3363), _u3365)) )).
% 13.06/13.31 cnf(matrix-2442, plain, ( ~class_Divides_Osemiring__div(_u3366) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3366), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3366), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3366), _u3367), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3366), _u3368), _u3367))), c_Divides_Odiv__class_Omod(_u3366, _u3368, _u3367))), _u3369) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3366), _u3368), _u3369)) )).
% 13.06/13.31 cnf(matrix-2443, plain, ( ~class_Divides_Osemiring__div(_u3370) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3370), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3370), _u3371), _u3372)), _u3372)), c_Divides_Odiv__class_Omod(_u3370, _u3371, _u3372)) = _u3371) )).
% 13.06/13.31 cnf(matrix-2444, plain, ( ~class_Divides_Osemiring__div(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3373), _u3375), _u3374))), c_Divides_Odiv__class_Omod(_u3373, _u3375, _u3374)) = _u3375) )).
% 13.06/13.31 cnf(matrix-2445, plain, ( ~class_Divides_Osemiring__div(_u3376) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3376), c_Divides_Odiv__class_Omod(_u3376, _u3377, _u3378)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3376), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3376), _u3377), _u3378)), _u3378)) = _u3377) )).
% 13.06/13.31 cnf(matrix-2446, plain, ( ~hBOOL(hAPP(_u3386, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3388), _u3390))) | ( _u3390 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3386, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2447, plain, ( ~hBOOL(hAPP(_u3386, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3388), _u3390))) | ( _u3390 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3379), _u3390)) | ( _u3388 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3390), _u3380)), _u3379)) | hBOOL(hAPP(_u3386, _u3380)) )).
% 13.06/13.31 cnf(matrix-2448, plain, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ( _u3391 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem68(_u3391, _u3389, _u3387)), _u3391)) )).
% 13.06/13.31 cnf(matrix-2449, plain, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ( _u3391 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3389 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3391), skolem67(_u3391, _u3389, _u3387))), skolem68(_u3391, _u3389, _u3387))) )).
% 13.06/13.31 cnf(matrix-2450, plain, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ( _u3391 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3387, skolem67(_u3391, _u3389, _u3387))) )).
% 13.06/13.31 cnf(matrix-2451, plain, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3391 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2452, plain, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem68(_u3391, _u3389, _u3387)), _u3391)) )).
% 13.06/13.31 cnf(matrix-2453, plain, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3389 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3391), skolem67(_u3391, _u3389, _u3387))), skolem68(_u3391, _u3389, _u3387))) )).
% 13.06/13.31 cnf(matrix-2454, plain, ( hBOOL(hAPP(_u3387, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3389), _u3391))) | ~hBOOL(hAPP(_u3387, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3387, skolem67(_u3391, _u3389, _u3387))) )).
% 13.06/13.31 cnf(matrix-2455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3392)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3393), _u3394)) | 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), _u3394), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3395, _u3392))), _u3393)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3394), _u3392))) )).
% 13.06/13.31 cnf(matrix-2456, plain, ( ~hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3403, _u3405)) )).
% 13.06/13.31 cnf(matrix-2457, plain, ( ~hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3396), _u3407)) | ( _u3405 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), _u3397)), _u3396)) | hBOOL(hAPP(_u3403, _u3396)) )).
% 13.06/13.31 cnf(matrix-2458, plain, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ( _u3408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3408, _u3406, _u3404)), _u3408)) )).
% 13.06/13.31 cnf(matrix-2459, plain, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ( _u3408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3406 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3408), skolem69(_u3408, _u3406, _u3404))), skolem70(_u3408, _u3406, _u3404))) )).
% 13.06/13.31 cnf(matrix-2460, plain, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ( _u3408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3404, skolem70(_u3408, _u3406, _u3404))) )).
% 13.06/13.31 cnf(matrix-2461, plain, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | ( _u3408 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2462, plain, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem70(_u3408, _u3406, _u3404)), _u3408)) )).
% 13.06/13.31 cnf(matrix-2463, plain, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | ( _u3406 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3408), skolem69(_u3408, _u3406, _u3404))), skolem70(_u3408, _u3406, _u3404))) )).
% 13.06/13.31 cnf(matrix-2464, plain, ( hBOOL(hAPP(_u3404, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3406, _u3408))) | ~hBOOL(hAPP(_u3404, _u3406)) | ~hBOOL(hAPP(_u3404, skolem70(_u3408, _u3406, _u3404))) )).
% 13.06/13.31 cnf(matrix-2465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3409)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3409), _u3410)), _u3409) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3412)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3411, _u3412)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3411), hAPP(c_Int_Onat, _u3412))) )).
% 13.06/13.31 cnf(matrix-2467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3414)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3413), hAPP(c_Int_Onat, _u3414)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3413, _u3414))) )).
% 13.06/13.31 cnf(matrix-2468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), _u3416)), _u3417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3417), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), hAPP(c_Nat_OSuc, _u3416)))) | ( _u3416 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3417), _u3415)) )).
% 13.06/13.31 cnf(matrix-2469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3415)) | ( _u3416 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3417), _u3415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), _u3416)), _u3417)) )).
% 13.06/13.31 cnf(matrix-2470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3415)) | ( _u3416 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3417), _u3415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3417), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3415), hAPP(c_Nat_OSuc, _u3416)))) )).
% 13.06/13.31 cnf(matrix-2471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3420)) | ( c_SMT_Oz3div(_u3422, _u3420) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3422), _u3420)) )).
% 13.06/13.31 cnf(matrix-2472, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3421)) | ( c_SMT_Oz3div(_u3423, _u3421) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3423), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3421)))) )).
% 13.06/13.31 cnf(matrix-2473, plain, ( ( _u3424 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3425, _u3424) != 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), _u3425)), _u3424) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3425), _u3424))) )).
% 13.06/13.31 cnf(matrix-2474, plain, ( ( _u3424 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3425, _u3424) = 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), _u3425)), _u3424) = 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), _u3425), _u3424))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2475, plain, ( ( _u3426 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3427, _u3426) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3427), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3426)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3427), _u3426))) )).
% 13.06/13.31 cnf(matrix-2476, plain, ( ( _u3426 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3427, _u3426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3427), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3426)) = 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), _u3427), _u3426))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3428), _u3429)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3429), _u3428) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3429), _u3428)), _u3428))) )).
% 13.06/13.31 cnf(matrix-2478, plain, ( ~class_Divides_Osemiring__div(_u3430) | ( _u3431 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3430), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3430), _u3431), _u3432)), _u3432)), c_Divides_Odiv__class_Omod(_u3430, _u3431, _u3432))) )).
% 13.06/13.31 cnf(matrix-2479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3434)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3433)), hAPP(c_Int_Onat, _u3434)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3433, _u3434))) )).
% 13.06/13.31 cnf(matrix-2480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3439)) | ~hBOOL(hAPP(_u3438, _u3436)) | hBOOL(hAPP(_u3438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3439), _u3437)))) | hBOOL(hAPP(_u3438, skolem71(_u3439, _u3438, _u3437))) )).
% 13.06/13.31 cnf(matrix-2481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3439)) | ~hBOOL(hAPP(_u3438, _u3436)) | hBOOL(hAPP(_u3438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3439), _u3437)))) | ~hBOOL(hAPP(_u3438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem71(_u3439, _u3438, _u3437)), _u3437))) )).
% 13.06/13.31 cnf(matrix-2482, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), _u3442), _u3443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), c_Groups_Ozero__class_Ozero(_u3441)), skolem72(_u3443, _u3442, _u3441))) )).
% 13.06/13.31 cnf(matrix-2483, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), _u3442), _u3443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), skolem72(_u3443, _u3442, _u3441)), c_Groups_Oone__class_Oone(_u3441))) )).
% 13.06/13.31 cnf(matrix-2484, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), skolem72(_u3443, _u3442, _u3441)), _u3442)), _u3443)) )).
% 13.06/13.31 cnf(matrix-2485, plain, ( ~class_Groups_Oab__group__add(_u3444) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3445), _u3446) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3447), _u3448)) | ( _u3445 != _u3446) | ( _u3447 = _u3448) )).
% 13.06/13.31 cnf(matrix-2486, plain, ( ~class_Groups_Oab__group__add(_u3444) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3445), _u3446) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3444), _u3447), _u3448)) | ( _u3447 != _u3448) | ( _u3445 = _u3446) )).
% 13.06/13.31 cnf(matrix-2487, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3449), _u3450)), _u3451) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3449), _u3451)), _u3450)) )).
% 13.06/13.31 cnf(matrix-2488, plain, ( ~class_Rings_Oring__1(_u3452) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3453), _u3454)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3452), hAPP(c_Int_Oring__1__class_Oof__int(_u3452), _u3453)), hAPP(c_Int_Oring__1__class_Oof__int(_u3452), _u3454))) )).
% 13.06/13.31 cnf(matrix-2489, plain, ( ~class_Groups_Ominus(_u3455) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3456, _u3455)), _u3457), _u3458), _u3459) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3455), hAPP(_u3457, _u3459)), hAPP(_u3458, _u3459))) )).
% 13.06/13.31 cnf(matrix-2490, plain, ( ~class_Rings_Oring__1(_u3460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3461), _u3462)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3460), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3462), _u3461)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3460), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3460), _u3462)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3460), _u3461))) )).
% 13.06/13.31 cnf(matrix-2491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3463), _u3464)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3464)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3463)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3464), _u3463))) )).
% 13.06/13.31 cnf(matrix-2492, plain, ( ~class_Groups_Oordered__ab__group__add(_u3465) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3466), _u3467) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3468), _u3469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3466), _u3467)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3468), _u3469)) )).
% 13.06/13.31 cnf(matrix-2493, plain, ( ~class_Groups_Oordered__ab__group__add(_u3465) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3466), _u3467) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3465), _u3468), _u3469)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3468), _u3469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3465), _u3466), _u3467)) )).
% 13.06/13.31 cnf(matrix-2494, plain, ( ~class_Groups_Ogroup__add(_u3470) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3470), _u3471), _u3472) != c_Groups_Ozero__class_Ozero(_u3470)) | ( _u3471 = _u3472) )).
% 13.06/13.31 cnf(matrix-2495, plain, ( ~class_Groups_Ogroup__add(_u3470) | ( _u3471 != _u3472) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3470), _u3471), _u3472) = c_Groups_Ozero__class_Ozero(_u3470)) )).
% 13.06/13.31 cnf(matrix-2496, plain, ( ~class_Groups_Oab__group__add(_u3473) | ( _u3474 != _u3475) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) = c_Groups_Ozero__class_Ozero(_u3473)) )).
% 13.06/13.31 cnf(matrix-2497, plain, ( ~class_Groups_Oab__group__add(_u3473) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) != c_Groups_Ozero__class_Ozero(_u3473)) | ( _u3474 = _u3475) )).
% 13.06/13.31 cnf(matrix-2498, plain, ( ~class_Groups_Ogroup__add(_u3476) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3476), _u3477), _u3477) = c_Groups_Ozero__class_Ozero(_u3476)) )).
% 13.06/13.31 cnf(matrix-2499, plain, ( ~class_Groups_Ogroup__add(_u3478) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3478), _u3479), c_Groups_Ozero__class_Ozero(_u3478)) = _u3479) )).
% 13.06/13.31 cnf(matrix-2500, plain, ( ~class_Groups_Oordered__ab__group__add(_u3480) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3481), _u3482) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3483), _u3484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3481), _u3482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3483), _u3484)) )).
% 13.06/13.31 cnf(matrix-2501, plain, ( ~class_Groups_Oordered__ab__group__add(_u3480) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3481), _u3482) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3480), _u3483), _u3484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3483), _u3484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3480), _u3481), _u3482)) )).
% 13.06/13.31 cnf(matrix-2502, plain, ( ~class_Groups_Ogroup__add(_u3485) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3485), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3485), _u3486), _u3487)), _u3487) = _u3486) )).
% 13.06/13.31 cnf(matrix-2503, plain, ( ~class_Groups_Ogroup__add(_u3488) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3488), _u3489), _u3490)), _u3490) = _u3489) )).
% 13.06/13.31 cnf(matrix-2504, plain, ( ~class_Groups_Oab__group__add(_u3491) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3491), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3491), _u3492), _u3493)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3491), _u3493), _u3492)) )).
% 13.06/13.31 cnf(matrix-2505, plain, ( ~class_Divides_Oring__div(_u3494) | ( c_Divides_Odiv__class_Omod(_u3494, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3495), _u3496), _u3497) = c_Divides_Odiv__class_Omod(_u3494, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3495), c_Divides_Odiv__class_Omod(_u3494, _u3496, _u3497)), _u3497)) )).
% 13.06/13.31 cnf(matrix-2506, plain, ( ~class_Divides_Oring__div(_u3498) | ( c_Divides_Odiv__class_Omod(_u3498, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3498), _u3499), _u3500), _u3501) = c_Divides_Odiv__class_Omod(_u3498, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3498), c_Divides_Odiv__class_Omod(_u3498, _u3499, _u3501)), _u3500), _u3501)) )).
% 13.06/13.31 cnf(matrix-2507, plain, ( ~class_Divides_Oring__div(_u3502) | ( c_Divides_Odiv__class_Omod(_u3502, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3502), _u3503), _u3504), _u3505) = c_Divides_Odiv__class_Omod(_u3502, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3502), c_Divides_Odiv__class_Omod(_u3502, _u3503, _u3505)), c_Divides_Odiv__class_Omod(_u3502, _u3504, _u3505)), _u3505)) )).
% 13.06/13.31 cnf(matrix-2508, plain, ( ~class_Divides_Oring__div(_u3506) | ( c_Divides_Odiv__class_Omod(_u3506, _u3507, _u3508) != c_Divides_Odiv__class_Omod(_u3506, _u3509, _u3508)) | ( c_Divides_Odiv__class_Omod(_u3506, _u3510, _u3508) != c_Divides_Odiv__class_Omod(_u3506, _u3511, _u3508)) | ( c_Divides_Odiv__class_Omod(_u3506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3506), _u3507), _u3510), _u3508) = c_Divides_Odiv__class_Omod(_u3506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3506), _u3509), _u3511), _u3508)) )).
% 13.06/13.31 cnf(matrix-2509, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3512), _u3513) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3513), _u3512) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3512 = _u3513) )).
% 13.06/13.31 cnf(matrix-2510, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3514), _u3514) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2511, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3515), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3515) )).
% 13.06/13.31 cnf(matrix-2512, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3516) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2513, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3517)), hAPP(c_Nat_OSuc, _u3518)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3517), _u3518)) )).
% 13.06/13.31 cnf(matrix-2514, 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, _u3519)), _u3520)), hAPP(c_Nat_OSuc, _u3521)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3519), _u3520)), _u3521)) )).
% 13.06/13.31 cnf(matrix-2515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3522), _u3523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3522), _u3524)), _u3523)) )).
% 13.06/13.31 cnf(matrix-2516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3527), _u3526)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3527), _u3525))) )).
% 13.06/13.31 cnf(matrix-2517, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3530), _u3532)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3530, _u3532) = _u3530) )).
% 13.06/13.31 cnf(matrix-2518, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3531), _u3533)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3531, _u3533) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3531), _u3533), _u3533)) )).
% 13.06/13.31 cnf(matrix-2519, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3534), _u3535)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3534, _u3535) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3534), _u3535), _u3535)) )).
% 13.06/13.31 cnf(matrix-2520, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3536), _u3537)), _u3537) = _u3536) )).
% 13.06/13.31 cnf(matrix-2521, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3538), _u3539)), _u3538) = _u3539) )).
% 13.06/13.31 cnf(matrix-2522, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3540), _u3541)), _u3542) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3541), _u3542))) )).
% 13.06/13.31 cnf(matrix-2523, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3543), _u3544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3543), _u3545)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3544), _u3545)) )).
% 13.06/13.31 cnf(matrix-2524, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3546), _u3547)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3548), _u3547)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3546), _u3548)) )).
% 13.06/13.31 cnf(matrix-2525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3550), _u3549)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3551), _u3549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3550), _u3551)) )).
% 13.06/13.31 cnf(matrix-2526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3549), _u3551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3550), _u3551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3550), _u3549)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3551), _u3549))) )).
% 13.06/13.31 cnf(matrix-2527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3554)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3552)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3554), _u3552)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3554)) )).
% 13.06/13.31 cnf(matrix-2528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3557)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3555) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3557), _u3555)) | ( _u3556 = _u3557) )).
% 13.06/13.31 cnf(matrix-2529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3557)) | ( _u3556 != _u3557) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3555) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3557), _u3555)) )).
% 13.06/13.31 cnf(matrix-2530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3559)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), _u3558)) = _u3558) )).
% 13.06/13.31 cnf(matrix-2531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3560), _u3561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3562)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3561), _u3562))) )).
% 13.06/13.31 cnf(matrix-2532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3563), _u3564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3565), _u3564)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3565), _u3563))) )).
% 13.06/13.31 cnf(matrix-2533, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3566), _u3567)), _u3566)) )).
% 13.06/13.31 cnf(matrix-2534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3568), _u3569)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3569, _u3568) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3569), _u3568), _u3568)) )).
% 13.06/13.31 cnf(matrix-2535, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3570), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3571), _u3572)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3570), _u3571)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3570), _u3572))) )).
% 13.06/13.31 cnf(matrix-2536, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3573), _u3574)), _u3575) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), _u3575)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3574), _u3575))) )).
% 13.06/13.31 cnf(matrix-2537, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3576), _u3577)), _u3578) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3576), _u3578)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3577), _u3578))) )).
% 13.06/13.31 cnf(matrix-2538, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3580), _u3581)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), _u3581))) )).
% 13.06/13.31 cnf(matrix-2539, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3582), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3583, _u3584)), _u3584) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3582), _u3583), _u3584)) )).
% 13.06/13.31 cnf(matrix-2540, 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, _u3585, _u3586)), _u3587), _u3586) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3585), _u3587), _u3586)) )).
% 13.06/13.31 cnf(matrix-2541, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3588), _u3589)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3589), _u3588)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3589)), hAPP(c_Int_Onat, _u3588))) )).
% 13.06/13.31 cnf(matrix-2542, plain, ( ~hBOOL(hAPP(_u3593, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3595), _u3597)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3597), _u3595)) | hBOOL(hAPP(_u3593, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3595)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3597)))) )).
% 13.06/13.31 cnf(matrix-2543, plain, ( ~hBOOL(hAPP(_u3593, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3595), _u3597)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3595), _u3597)) | hBOOL(hAPP(_u3593, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2544, plain, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3598), _u3596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3596), _u3598)) )).
% 13.06/13.31 cnf(matrix-2545, plain, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3598), _u3596)) | ~hBOOL(hAPP(_u3594, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2546, plain, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | ~hBOOL(hAPP(_u3594, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3596)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3598)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3596), _u3598)) )).
% 13.06/13.31 cnf(matrix-2547, plain, ( hBOOL(hAPP(_u3594, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3596), _u3598)))) | ~hBOOL(hAPP(_u3594, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3596)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3598)))) | ~hBOOL(hAPP(_u3594, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2548, plain, ( ~class_Groups_Oordered__ab__group__add(_u3599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), _u3600), _u3601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3599), _u3600), _u3601)), c_Groups_Ozero__class_Ozero(_u3599))) )).
% 13.06/13.31 cnf(matrix-2549, plain, ( ~class_Groups_Oordered__ab__group__add(_u3599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3599), _u3600), _u3601)), c_Groups_Ozero__class_Ozero(_u3599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3599), _u3600), _u3601)) )).
% 13.06/13.31 cnf(matrix-2550, plain, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), _u3603), _u3604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) )).
% 13.06/13.31 cnf(matrix-2551, plain, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3602), _u3603), _u3604)) )).
% 13.06/13.31 cnf(matrix-2552, plain, ( ~class_Rings_Oring(_u3605) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3606), _u3607)), _u3608) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3609), _u3607)), _u3610)) | ( _u3608 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3609), _u3606)), _u3607)), _u3610)) )).
% 13.06/13.31 cnf(matrix-2553, plain, ( ~class_Rings_Oring(_u3605) | ( _u3608 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3609), _u3606)), _u3607)), _u3610)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3606), _u3607)), _u3608) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3605), _u3609), _u3607)), _u3610)) )).
% 13.06/13.31 cnf(matrix-2554, plain, ( ~class_Rings_Oring(_u3611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3613)), _u3614) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3615), _u3613)), _u3616)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3611), _u3612), _u3615)), _u3613)), _u3614) = _u3616) )).
% 13.06/13.31 cnf(matrix-2555, plain, ( ~class_Rings_Oring(_u3611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3611), _u3612), _u3615)), _u3613)), _u3614) != _u3616) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3613)), _u3614) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3615), _u3613)), _u3616)) )).
% 13.06/13.31 cnf(matrix-2556, plain, ( ~class_Groups_Ogroup__add(_u3617) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3617), c_Groups_Ozero__class_Ozero(_u3617)), _u3618) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3617), _u3618)) )).
% 13.06/13.31 cnf(matrix-2557, plain, ( ~class_Groups_Ogroup__add(_u3619) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3619), _u3620), hAPP(c_Groups_Ouminus__class_Ouminus(_u3619), _u3621)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3619), _u3620), _u3621)) )).
% 13.06/13.31 cnf(matrix-2558, plain, ( ~class_Groups_Oab__group__add(_u3622) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3622), _u3623), _u3624) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3622), _u3623), hAPP(c_Groups_Ouminus__class_Ouminus(_u3622), _u3624))) )).
% 13.06/13.31 cnf(matrix-2559, plain, ( ~class_Groups_Ogroup__add(_u3625) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3625), _u3626), _u3627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3625), _u3626), hAPP(c_Groups_Ouminus__class_Ouminus(_u3625), _u3627))) )).
% 13.06/13.31 cnf(matrix-2560, plain, ( ~class_Rings_Ocomm__ring__1(_u3628) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3628), _u3629), _u3630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3628), _u3629), hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), _u3630))) )).
% 13.06/13.31 cnf(matrix-2561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3633), _u3635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3633), _u3635)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3634), _u3636)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3634), _u3636)) )).
% 13.06/13.31 cnf(matrix-2563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3638), _u3637)), _u3638)) )).
% 13.06/13.31 cnf(matrix-2564, 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), _u3641), _u3643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3643), _u3641)) )).
% 13.06/13.31 cnf(matrix-2565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3644), _u3642)) | 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), _u3642), _u3644))) )).
% 13.06/13.31 cnf(matrix-2566, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3645), _u3646)), hAPP(c_Nat_OSuc, _u3645))) )).
% 13.06/13.31 cnf(matrix-2567, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3647), _u3648)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2568, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3651), _u3653) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3651), _u3653)) )).
% 13.06/13.31 cnf(matrix-2569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3654)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3652), _u3654) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3655), _u3656)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3655), _u3656) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3660), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3662), _u3664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3660), _u3664)), _u3662)) )).
% 13.06/13.31 cnf(matrix-2572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3661), _u3665)), _u3663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3661), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3663), _u3665))) )).
% 13.06/13.31 cnf(matrix-2573, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3666), _u3667)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3666), _u3667)) = _u3666) )).
% 13.06/13.31 cnf(matrix-2574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3668), _u3669)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3669)), _u3668) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3669), _u3668))) )).
% 13.06/13.31 cnf(matrix-2575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3671), _u3670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3672), _u3670))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3671), _u3672)) )).
% 13.06/13.31 cnf(matrix-2576, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3670), _u3672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3671), _u3672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3671), _u3670)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3672), _u3670))) )).
% 13.06/13.31 cnf(matrix-2577, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3673), _u3674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3675), _u3673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3673), _u3675)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), _u3675))) )).
% 13.06/13.31 cnf(matrix-2578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3676), _u3677)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3677), _u3678)), _u3676) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3677), _u3676)), _u3678)) )).
% 13.06/13.31 cnf(matrix-2579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), _u3680)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3680), _u3679)), _u3681) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3680), _u3681)), _u3679)) )).
% 13.06/13.31 cnf(matrix-2580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), _u3683)), _u3682) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682))) )).
% 13.06/13.31 cnf(matrix-2581, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3685), _u3686)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3686), _u3685) != _u3687) | ( _u3686 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), _u3685)) )).
% 13.06/13.31 cnf(matrix-2582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3685), _u3686)) | ( _u3686 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), _u3685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3686), _u3685) = _u3687) )).
% 13.06/13.31 cnf(matrix-2583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3688), _u3689)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3688)), _u3688) = _u3689) )).
% 13.06/13.31 cnf(matrix-2584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3690), _u3691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3692), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3691), _u3690))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), _u3690)), _u3691)) )).
% 13.06/13.31 cnf(matrix-2585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3690), _u3691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), _u3690)), _u3691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3692), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3691), _u3690))) )).
% 13.06/13.31 cnf(matrix-2586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3694)), _u3693)) )).
% 13.06/13.31 cnf(matrix-2587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3696), _u3697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3696), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3697), _u3696)) = _u3697) )).
% 13.06/13.31 cnf(matrix-2588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3698), _u3699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3700), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3699), _u3700)), _u3698))) )).
% 13.06/13.31 cnf(matrix-2589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3704), _u3706)), _u3708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3704), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3708), _u3706))) )).
% 13.06/13.31 cnf(matrix-2590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3709), _u3707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3705), _u3707)), _u3709)) )).
% 13.06/13.31 cnf(matrix-2591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3710), _u3711)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3711), _u3710)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3712), _u3710)), _u3711)) )).
% 13.06/13.31 cnf(matrix-2592, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3713), _u3714) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3713), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3714))) )).
% 13.06/13.31 cnf(matrix-2593, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3715), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3716)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3715), _u3716)) )).
% 13.06/13.31 cnf(matrix-2594, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3717)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3717) )).
% 13.06/13.31 cnf(matrix-2595, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3718), hAPP(c_Nat_OSuc, _u3719)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3718), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3719)) )).
% 13.06/13.31 cnf(matrix-2596, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3720), _u3721)), _u3721) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3720), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3720, _u3721))) )).
% 13.06/13.31 cnf(matrix-2597, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3722), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3723), _u3722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3723), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3723, _u3722))) )).
% 13.06/13.31 cnf(matrix-2598, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3724, _u3725) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3724), _u3725)), _u3725))) )).
% 13.06/13.31 cnf(matrix-2599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3726), _u3727)) | ( c_Nat__Transfer_Otsub(_u3727, _u3726) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3727), _u3726)) )).
% 13.06/13.31 cnf(matrix-2600, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3728), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3729)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3728), _u3729))) )).
% 13.06/13.31 cnf(matrix-2601, plain, ( ~class_Rings_Oordered__ring(_u3730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3731), _u3732)), _u3733)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3734), _u3732)), _u3735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3730), _u3734), _u3731)), _u3732)), _u3735))) )).
% 13.06/13.31 cnf(matrix-2602, plain, ( ~class_Rings_Oordered__ring(_u3730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), _u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3730), _u3734), _u3731)), _u3732)), _u3735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3731), _u3732)), _u3733)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3730), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3730), _u3734), _u3732)), _u3735))) )).
% 13.06/13.31 cnf(matrix-2603, plain, ( ~class_Rings_Oordered__ring(_u3736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3737), _u3738)), _u3739)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3740), _u3738)), _u3741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3736), _u3737), _u3740)), _u3738)), _u3739)), _u3741)) )).
% 13.06/13.31 cnf(matrix-2604, plain, ( ~class_Rings_Oordered__ring(_u3736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3736), _u3737), _u3740)), _u3738)), _u3739)), _u3741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3737), _u3738)), _u3739)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3736), _u3740), _u3738)), _u3741))) )).
% 13.06/13.31 cnf(matrix-2605, plain, ( ~class_Rings_Oordered__ring(_u3742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3743), _u3744)), _u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3746), _u3744)), _u3747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3742), _u3743), _u3746)), _u3744)), _u3745)), _u3747)) )).
% 13.06/13.31 cnf(matrix-2606, plain, ( ~class_Rings_Oordered__ring(_u3742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3742), _u3743), _u3746)), _u3744)), _u3745)), _u3747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3742), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3743), _u3744)), _u3745)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3742), _u3746), _u3744)), _u3747))) )).
% 13.06/13.31 cnf(matrix-2607, plain, ( ~class_Rings_Oordered__ring(_u3748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3749), _u3750)), _u3751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3752), _u3750)), _u3753))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), _u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3748), _u3752), _u3749)), _u3750)), _u3753))) )).
% 13.06/13.31 cnf(matrix-2608, plain, ( ~class_Rings_Oordered__ring(_u3748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), _u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3748), _u3752), _u3749)), _u3750)), _u3753))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3749), _u3750)), _u3751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3748), _u3752), _u3750)), _u3753))) )).
% 13.06/13.31 cnf(matrix-2609, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3754), hAPP(c_Nat_OSuc, _u3755))), _u3754)) )).
% 13.06/13.31 cnf(matrix-2610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3756)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3756), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3756) )).
% 13.06/13.31 cnf(matrix-2611, plain, ( ~hBOOL(hAPP(_u3762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3764), _u3766))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3764), _u3766)) | hBOOL(hAPP(_u3762, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2612, plain, ( ~hBOOL(hAPP(_u3762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3764), _u3766))) | ( _u3764 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3766), _u3757)) | hBOOL(hAPP(_u3762, _u3757)) )).
% 13.06/13.31 cnf(matrix-2613, plain, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3765), _u3767)) | ( _u3765 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3767), skolem73(_u3767, _u3765, _u3763))) )).
% 13.06/13.31 cnf(matrix-2614, plain, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3765), _u3767)) | ~hBOOL(hAPP(_u3763, skolem73(_u3767, _u3765, _u3763))) )).
% 13.06/13.31 cnf(matrix-2615, plain, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | ~hBOOL(hAPP(_u3763, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3765 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3767), skolem73(_u3767, _u3765, _u3763))) )).
% 13.06/13.31 cnf(matrix-2616, plain, ( hBOOL(hAPP(_u3763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3765), _u3767))) | ~hBOOL(hAPP(_u3763, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3763, skolem73(_u3767, _u3765, _u3763))) )).
% 13.06/13.31 cnf(matrix-2617, plain, ( ~hBOOL(hAPP(_u3773, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3775), _u3777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3775), _u3777)) | hBOOL(hAPP(_u3773, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2618, plain, ( ~hBOOL(hAPP(_u3773, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3775), _u3777))) | ( _u3775 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3777), _u3768)) | hBOOL(hAPP(_u3773, _u3768)) )).
% 13.06/13.31 cnf(matrix-2619, plain, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3776), _u3778)) | ( _u3776 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3778), skolem74(_u3778, _u3776, _u3774))) )).
% 13.06/13.31 cnf(matrix-2620, plain, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3776), _u3778)) | ~hBOOL(hAPP(_u3774, skolem74(_u3778, _u3776, _u3774))) )).
% 13.06/13.31 cnf(matrix-2621, plain, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | ~hBOOL(hAPP(_u3774, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3776 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3778), skolem74(_u3778, _u3776, _u3774))) )).
% 13.06/13.31 cnf(matrix-2622, plain, ( hBOOL(hAPP(_u3774, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3776), _u3778))) | ~hBOOL(hAPP(_u3774, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3774, skolem74(_u3778, _u3776, _u3774))) )).
% 13.06/13.31 cnf(matrix-2623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3781), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3783), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3781), _u3783)) )).
% 13.06/13.31 cnf(matrix-2624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3782), _u3784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3782), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3784), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.06/13.31 cnf(matrix-2625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3785), _u3786)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3787), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3786), _u3785))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3787), _u3785)), hAPP(c_Nat_OSuc, _u3786))) )).
% 13.06/13.31 cnf(matrix-2626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3789)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3789), _u3788))), _u3790) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3789)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3788), _u3790))) )).
% 13.06/13.31 cnf(matrix-2627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3791), _u3792)) | ~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), _u3792), _u3793)), _u3794)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3791), _u3793)), _u3795))) | 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), _u3792), _u3791)), _u3793)), _u3794)), _u3795)) )).
% 13.06/13.31 cnf(matrix-2628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3791), _u3792)) | ~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), _u3792), _u3791)), _u3793)), _u3794)), _u3795)) | 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), _u3792), _u3793)), _u3794)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3791), _u3793)), _u3795))) )).
% 13.06/13.31 cnf(matrix-2629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3796), _u3797)) | ( 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), _u3797), _u3798)), _u3799)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3796), _u3798)), _u3800)) = 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), _u3797), _u3796)), _u3798)), _u3799)), _u3800)) )).
% 13.06/13.31 cnf(matrix-2630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3801), _u3802)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3802), _u3803)), _u3804) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3801), _u3803)), _u3805)) | ( 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), _u3802), _u3801)), _u3803)), _u3804) = _u3805) )).
% 13.06/13.31 cnf(matrix-2631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3801), _u3802)) | ( 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), _u3802), _u3801)), _u3803)), _u3804) != _u3805) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3802), _u3803)), _u3804) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3801), _u3803)), _u3805)) )).
% 13.06/13.31 cnf(matrix-2632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3806), _u3807)) | ~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), _u3806), _u3808)), _u3809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3807), _u3808)), _u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), 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), _u3807), _u3806)), _u3808)), _u3810))) )).
% 13.06/13.31 cnf(matrix-2633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), 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), _u3807), _u3806)), _u3808)), _u3810))) | 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), _u3806), _u3808)), _u3809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3807), _u3808)), _u3810))) )).
% 13.06/13.31 cnf(matrix-2634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3811), _u3812)) | ( 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), _u3811), _u3813)), _u3814)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3812), _u3813)), _u3815)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3814), 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), _u3812), _u3811)), _u3813)), _u3815))) )).
% 13.06/13.31 cnf(matrix-2635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), _u3817)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3816), _u3818)), _u3819) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3817), _u3818)), _u3820)) | ( _u3819 = 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), _u3817), _u3816)), _u3818)), _u3820)) )).
% 13.06/13.31 cnf(matrix-2636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), _u3817)) | ( _u3819 != 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), _u3817), _u3816)), _u3818)), _u3820)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3816), _u3818)), _u3819) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3817), _u3818)), _u3820)) )).
% 13.06/13.31 cnf(matrix-2637, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3823, _u3825) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3823, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3825)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2638, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3824, _u3826) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3824, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3826)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3824, _u3826)), _u3826)) )).
% 13.06/13.31 cnf(matrix-2639, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3829, _u3831) != 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), _u3829), _u3831) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2640, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3830, _u3832) = 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), _u3830), _u3832) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3832), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3830, _u3832))) )).
% 13.06/13.31 cnf(matrix-2641, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3833, _u3834) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3833), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3833), _u3834)), _u3834))) )).
% 13.06/13.31 cnf(matrix-2642, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3835), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3836), _u3835)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3836), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3836, _u3835))) )).
% 13.06/13.31 cnf(matrix-2643, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3839), _u3841)) | ( c_Nat__Transfer_Otsub(_u3841, _u3839) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3841), _u3839)) )).
% 13.06/13.31 cnf(matrix-2644, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3840), _u3842)) | ( c_Nat__Transfer_Otsub(_u3842, _u3840) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3843)) | ( _u3843 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3843), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.06/13.31 cnf(matrix-2646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3844)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3844), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3844) )).
% 13.06/13.31 cnf(matrix-2647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3845), _u3846)) | ~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), _u3845), _u3847)), _u3848)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3846), _u3847)), _u3849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3848), 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), _u3846), _u3845)), _u3847)), _u3849))) )).
% 13.06/13.31 cnf(matrix-2648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3845), _u3846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3848), 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), _u3846), _u3845)), _u3847)), _u3849))) | 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), _u3845), _u3847)), _u3848)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3846), _u3847)), _u3849))) )).
% 13.06/13.31 cnf(matrix-2649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3851)) | ~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), _u3851), _u3852)), _u3853)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3850), _u3852)), _u3854))) | 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), _u3851), _u3850)), _u3852)), _u3853)), _u3854)) )).
% 13.06/13.31 cnf(matrix-2650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3850), _u3851)) | ~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), _u3851), _u3850)), _u3852)), _u3853)), _u3854)) | 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), _u3851), _u3852)), _u3853)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3850), _u3852)), _u3854))) )).
% 13.06/13.31 cnf(matrix-2651, plain, ( ( _u3857 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3857), _u3859) = _u3859) )).
% 13.06/13.31 cnf(matrix-2652, plain, ( ( _u3858 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3858), _u3860) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3858), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3860))) )).
% 13.06/13.31 cnf(matrix-2653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), _u3861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3862), _u3861) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3862), _u3861)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3862), _u3861) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3862), _u3861)), _u3861))) )).
% 13.06/13.31 cnf(matrix-2655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3864), _u3863)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3864), _u3863) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3864), _u3863)), _u3863))) )).
% 13.06/13.31 cnf(matrix-2656, plain, ( ( _u3867 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3867), _u3869) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2657, plain, ( ( _u3868 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3868), _u3870) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3868), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3870))) )).
% 13.06/13.31 cnf(matrix-2658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3872)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3872), _u3871)), _u3872) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 13.06/13.31 cnf(matrix-2659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3877)) | ~hBOOL(hAPP(_u3876, _u3874)) | hBOOL(hAPP(_u3876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3877), _u3875)))) | hBOOL(hAPP(_u3876, skolem75(_u3877, _u3876, _u3875))) )).
% 13.06/13.31 cnf(matrix-2660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3877)) | ~hBOOL(hAPP(_u3876, _u3874)) | hBOOL(hAPP(_u3876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3877), _u3875)))) | ~hBOOL(hAPP(_u3876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem75(_u3877, _u3876, _u3875)), _u3875))) )).
% 13.06/13.31 cnf(matrix-2661, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3879), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3880), 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), _u3880), _u3879))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3878)))) )).
% 13.06/13.31 cnf(matrix-2662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3882), 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), _u3882), _u3883))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3881))), _u3883)) )).
% 13.06/13.31 cnf(matrix-2663, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3885, _u3886) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3887, _u3886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3887), _u3885)) | ( _u3885 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3886), skolem76(_u3887, _u3886, _u3885)))) )).
% 13.06/13.31 cnf(matrix-2664, plain, ( ~hBOOL(hAPP(_u3890, _u3891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3891), _u3889)) | hBOOL(hAPP(_u3890, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem77(_u3891, _u3890, _u3889)), _u3889)) )).
% 13.06/13.31 cnf(matrix-2665, plain, ( ~hBOOL(hAPP(_u3890, _u3891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3891), _u3889)) | hBOOL(hAPP(_u3890, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3890, skolem77(_u3891, _u3890, _u3889))) )).
% 13.06/13.31 cnf(matrix-2666, plain, ( ~hBOOL(hAPP(_u3890, _u3891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3891), _u3889)) | hBOOL(hAPP(_u3890, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3890, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem77(_u3891, _u3890, _u3889)), _u3889))) )).
% 13.06/13.31 cnf(matrix-2667, 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), _u3892))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3892) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3892)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.06/13.31 cnf(matrix-2668, plain, ( ~class_Fields_Olinordered__field(_u3894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3894), _u3895), _u3896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3894), c_Groups_Ozero__class_Ozero(_u3894)), skolem78(_u3896, _u3895, _u3894))) )).
% 13.06/13.31 cnf(matrix-2669, plain, ( ~class_Fields_Olinordered__field(_u3894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3894), _u3895), _u3896)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3894), _u3895), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3894), _u3896), skolem78(_u3896, _u3895, _u3894)))) )).
% 13.06/13.31 cnf(matrix-2670, plain, ( ~class_Rings_Oring__1(_u3897) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3897), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3898), _u3899)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3897), hAPP(c_Int_Oring__1__class_Oof__int(_u3897), _u3898)), _u3899)) )).
% 13.06/13.31 cnf(matrix-2671, plain, ( ~class_Int_Onumber__ring(_u3900) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u3901)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3900), _u3901)) )).
% 13.06/13.31 cnf(matrix-2672, plain, ( ~class_Int_Onumber__ring(_u3902) | ~class_Int_Oring__char__0(_u3902) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3903) != hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3904)) | ( _u3903 = _u3904) )).
% 13.06/13.31 cnf(matrix-2673, plain, ( ~class_Int_Onumber__ring(_u3902) | ~class_Int_Oring__char__0(_u3902) | ( _u3903 != _u3904) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3903) = hAPP(c_Int_Onumber__class_Onumber__of(_u3902), _u3904)) )).
% 13.06/13.31 cnf(matrix-2674, plain, ( ~class_Int_Onumber(_u3905) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906) != _u3907) | ( _u3907 = hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906)) )).
% 13.06/13.31 cnf(matrix-2675, plain, ( ~class_Int_Onumber(_u3905) | ( _u3907 != hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3905), _u3906) = _u3907) )).
% 13.06/13.31 cnf(matrix-2676, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3908) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3908), hAPP(c_Groups_Oabs__class_Oabs(_u3908), _u3909)) = hAPP(c_Groups_Oabs__class_Oabs(_u3908), _u3909)) )).
% 13.06/13.31 cnf(matrix-2677, 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), _u3910)), _u3911))) )).
% 13.06/13.31 cnf(matrix-2678, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3912), hAPP(c_Groups_Oabs__class_Oabs(_u3912), _u3913)), _u3914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3912), _u3913), _u3914)) )).
% 13.06/13.31 cnf(matrix-2679, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3915) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), _u3916), hAPP(c_Groups_Oabs__class_Oabs(_u3915), _u3916))) )).
% 13.06/13.31 cnf(matrix-2680, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3917) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3917), c_Groups_Ozero__class_Ozero(_u3917)) = c_Groups_Ozero__class_Ozero(_u3917)) )).
% 13.06/13.31 cnf(matrix-2681, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3918) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3918), _u3919) != c_Groups_Ozero__class_Ozero(_u3918)) | ( _u3919 = c_Groups_Ozero__class_Ozero(_u3918)) )).
% 13.06/13.31 cnf(matrix-2682, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3918) | ( _u3919 != c_Groups_Ozero__class_Ozero(_u3918)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3918), _u3919) = c_Groups_Ozero__class_Ozero(_u3918)) )).
% 13.06/13.31 cnf(matrix-2683, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3920) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3920), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3920), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3921)), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3922))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3920), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3921)), hAPP(c_Groups_Oabs__class_Oabs(_u3920), _u3922))) )).
% 13.06/13.31 cnf(matrix-2684, plain, ( ~class_Rings_Olinordered__idom(_u3923) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), _u3924), _u3924)) )).
% 13.06/13.31 cnf(matrix-2685, plain, ( ~class_Rings_Olinordered__idom(_u3925) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3925), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3925), _u3926), _u3927)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3925), hAPP(c_Groups_Oabs__class_Oabs(_u3925), _u3926)), hAPP(c_Groups_Oabs__class_Oabs(_u3925), _u3927))) )).
% 13.06/13.31 cnf(matrix-2686, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3928), _u3929), _u3930)) = hAPP(c_Groups_Oabs__class_Oabs(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3928), _u3930), _u3929))) )).
% 13.06/13.31 cnf(matrix-2687, plain, ( ~class_Rings_Olinordered__idom(_u3931) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3931), c_Groups_Oone__class_Oone(_u3931)) = c_Groups_Oone__class_Oone(_u3931)) )).
% 13.06/13.31 cnf(matrix-2688, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3932) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3932), hAPP(c_Groups_Ouminus__class_Ouminus(_u3932), _u3933)) = hAPP(c_Groups_Oabs__class_Oabs(_u3932), _u3933)) )).
% 13.06/13.31 cnf(matrix-2689, plain, ( ~class_Rings_Ocomm__semiring__1(_u3934) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3934), _u3935), _u3936)), _u3937) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3934), hAPP(hAPP(c_Power_Opower__class_Opower(_u3934), _u3935), _u3937)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3934), _u3936), _u3937))) )).
% 13.06/13.31 cnf(matrix-2690, plain, ( ~class_Rings_Olinordered__idom(_u3938) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3938), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3938), _u3939)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3938), _u3939)) )).
% 13.06/13.31 cnf(matrix-2691, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3940)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3940)) )).
% 13.06/13.31 cnf(matrix-2692, plain, ( ~class_Rings_Ocomm__semiring__1(_u3941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), _u3943)), _u3944) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3941), _u3942), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3943), _u3944))) )).
% 13.06/13.31 cnf(matrix-2693, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3945), _u3946)), _u3947) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3945), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3946), _u3947))) )).
% 13.06/13.31 cnf(matrix-2694, plain, ( ~class_Rings_Ocomm__semiring__1(_u3948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3948), _u3949), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3949) )).
% 13.06/13.31 cnf(matrix-2695, 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, _u3950, _u3951)), _u3952), _u3951) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3950), _u3952), _u3951)) )).
% 13.06/13.31 cnf(matrix-2696, plain, ( ~class_Int_Onumber__ring(_u3953) | ~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), _u3954))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3953), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3954)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3953), _u3954)) )).
% 13.06/13.31 cnf(matrix-2697, plain, ( ~class_Int_Onumber__ring(_u3953) | 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), _u3954))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3953), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3954)) = c_Groups_Ozero__class_Ozero(_u3953)) )).
% 13.06/13.31 cnf(matrix-2698, plain, ( ~class_Int_Onumber__ring(_u3955) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3955), _u3956) = hAPP(c_Int_Oring__1__class_Oof__int(_u3955), _u3956)) )).
% 13.06/13.31 cnf(matrix-2699, plain, ( ~class_Int_Onumber__ring(_u3957) | ~class_Rings_Olinordered__idom(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)), c_Groups_Ozero__class_Ozero(_u3957))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958))) )).
% 13.06/13.31 cnf(matrix-2700, plain, ( ~class_Int_Onumber__ring(_u3957) | ~class_Rings_Olinordered__idom(_u3957) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)), c_Groups_Ozero__class_Ozero(_u3957))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3957), hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3957), _u3958)) )).
% 13.06/13.31 cnf(matrix-2701, 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), _u3961)), _u3963))) | ( _u3961 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3963 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2702, 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), _u3962)), _u3964))) | ( _u3962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2703, 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), _u3962)), _u3964))) | ( _u3964 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2704, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3965), c_Groups_Ozero__class_Ozero(_u3965)), _u3966)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3965), _u3966) = _u3966) )).
% 13.06/13.31 cnf(matrix-2705, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3967), hAPP(c_Groups_Oabs__class_Oabs(_u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3967))) | ( _u3968 = c_Groups_Ozero__class_Ozero(_u3967)) )).
% 13.06/13.31 cnf(matrix-2706, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3967) | ( _u3968 != c_Groups_Ozero__class_Ozero(_u3967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3967), hAPP(c_Groups_Oabs__class_Oabs(_u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3967))) )).
% 13.06/13.31 cnf(matrix-2707, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(c_Groups_Oabs__class_Oabs(_u3969), _u3970))) )).
% 13.06/13.31 cnf(matrix-2708, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3971), c_Groups_Ozero__class_Ozero(_u3971)), _u3972)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3971), _u3972) = _u3972) )).
% 13.06/13.31 cnf(matrix-2709, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3973), c_Groups_Ozero__class_Ozero(_u3973)), hAPP(c_Groups_Oabs__class_Oabs(_u3973), _u3974))) | ( _u3974 != c_Groups_Ozero__class_Ozero(_u3973)) )).
% 13.06/13.31 cnf(matrix-2710, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3973) | ( _u3974 = c_Groups_Ozero__class_Ozero(_u3973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3973), c_Groups_Ozero__class_Ozero(_u3973)), hAPP(c_Groups_Oabs__class_Oabs(_u3973), _u3974))) )).
% 13.06/13.31 cnf(matrix-2711, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3975), hAPP(c_Groups_Oabs__class_Oabs(_u3975), _u3976)), c_Groups_Ozero__class_Ozero(_u3975))) )).
% 13.06/13.31 cnf(matrix-2712, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3977) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3977), hAPP(c_Groups_Oabs__class_Oabs(_u3977), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3977), _u3978), _u3979))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3977), hAPP(c_Groups_Oabs__class_Oabs(_u3977), _u3978)), hAPP(c_Groups_Oabs__class_Oabs(_u3977), _u3979)))) )).
% 13.06/13.31 cnf(matrix-2713, plain, ( ~class_Rings_Olinordered__idom(_u3980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3980), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3981)), _u3982)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3980), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3983)), _u3984)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3980), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3981)), hAPP(c_Groups_Oabs__class_Oabs(_u3980), _u3983))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), _u3982), _u3984))) )).
% 13.06/13.31 cnf(matrix-2714, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3985) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3985), hAPP(c_Groups_Oabs__class_Oabs(_u3985), _u3986)), hAPP(c_Groups_Oabs__class_Oabs(_u3985), _u3987))), hAPP(c_Groups_Oabs__class_Oabs(_u3985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3985), _u3987), _u3986)))) )).
% 13.06/13.31 cnf(matrix-2715, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3988) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3988), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3989)), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3990))), hAPP(c_Groups_Oabs__class_Oabs(_u3988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3988), _u3989), _u3990)))) )).
% 13.06/13.31 cnf(matrix-2716, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3991) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3991), hAPP(c_Groups_Oabs__class_Oabs(_u3991), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3991), hAPP(c_Groups_Oabs__class_Oabs(_u3991), _u3992)), hAPP(c_Groups_Oabs__class_Oabs(_u3991), _u3993)))), hAPP(c_Groups_Oabs__class_Oabs(_u3991), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3991), _u3992), _u3993)))) )).
% 13.06/13.31 cnf(matrix-2717, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3994) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3994), hAPP(c_Groups_Ouminus__class_Ouminus(_u3994), _u3995)), hAPP(c_Groups_Oabs__class_Oabs(_u3994), _u3995))) )).
% 13.06/13.31 cnf(matrix-2718, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), _u3997), _u3998)) )).
% 13.06/13.31 cnf(matrix-2719, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Ouminus__class_Ouminus(_u3996), _u3997)), _u3998)) )).
% 13.06/13.31 cnf(matrix-2720, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), _u3997), _u3998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Ouminus__class_Ouminus(_u3996), _u3997)), _u3998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), _u3998)) )).
% 13.06/13.31 cnf(matrix-2721, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), _u4000), _u4001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), hAPP(c_Groups_Ouminus__class_Ouminus(_u3999), _u4000)), _u4001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), hAPP(c_Groups_Oabs__class_Oabs(_u3999), _u4000)), _u4001)) )).
% 13.06/13.31 cnf(matrix-2722, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4002) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4002), hAPP(c_Groups_Oabs__class_Oabs(_u4002), _u4003)), _u4004)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4002), hAPP(c_Groups_Ouminus__class_Ouminus(_u4002), _u4003)), _u4004)) )).
% 13.06/13.31 cnf(matrix-2723, plain, ( ~class_Rings_Olinordered__idom(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Oabs__class_Oabs(_u4005), _u4006)), _u4007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), _u4006), _u4007)) )).
% 13.06/13.31 cnf(matrix-2724, plain, ( ~class_Rings_Olinordered__idom(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Oabs__class_Oabs(_u4005), _u4006)), _u4007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Ouminus__class_Ouminus(_u4005), _u4006)), _u4007)) )).
% 13.06/13.31 cnf(matrix-2725, plain, ( ~class_Rings_Olinordered__idom(_u4005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), _u4006), _u4007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Ouminus__class_Ouminus(_u4005), _u4006)), _u4007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4005), hAPP(c_Groups_Oabs__class_Oabs(_u4005), _u4006)), _u4007)) )).
% 13.06/13.31 cnf(matrix-2726, plain, ( ~class_Int_Onumber(_u4008) | ~class_Orderings_Olinorder(_u4008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009))) )).
% 13.06/13.31 cnf(matrix-2727, plain, ( ~class_Int_Onumber(_u4008) | ~class_Orderings_Olinorder(_u4008) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4008), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4009)), hAPP(c_Int_Onumber__class_Onumber__of(_u4008), _u4010))) )).
% 13.06/13.31 cnf(matrix-2728, plain, ( ~class_Int_Onumber(_u4011) | ~class_Rings_Osemiring(_u4011) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4011), _u4012), _u4013)), hAPP(c_Int_Onumber__class_Onumber__of(_u4011), _u4014)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4011), _u4012), hAPP(c_Int_Onumber__class_Onumber__of(_u4011), _u4014))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4011), _u4013), hAPP(c_Int_Onumber__class_Onumber__of(_u4011), _u4014)))) )).
% 13.06/13.31 cnf(matrix-2729, plain, ( ~class_Int_Onumber(_u4015) | ~class_Rings_Osemiring(_u4015) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4015), hAPP(c_Int_Onumber__class_Onumber__of(_u4015), _u4016)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4015), _u4017), _u4018)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4015), hAPP(c_Int_Onumber__class_Onumber__of(_u4015), _u4016)), _u4017)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4015), hAPP(c_Int_Onumber__class_Onumber__of(_u4015), _u4016)), _u4018))) )).
% 13.06/13.31 cnf(matrix-2730, plain, ( ~class_Rings_Ocomm__semiring__1(_u4019) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4019), hAPP(hAPP(c_Power_Opower__class_Opower(_u4019), _u4020), _u4021)), _u4020) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4019), _u4020), hAPP(c_Nat_OSuc, _u4021))) )).
% 13.06/13.31 cnf(matrix-2731, plain, ( ~class_Rings_Ocomm__semiring__1(_u4022) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4022), _u4023), hAPP(hAPP(c_Power_Opower__class_Opower(_u4022), _u4023), _u4024)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4022), _u4023), hAPP(c_Nat_OSuc, _u4024))) )).
% 13.06/13.31 cnf(matrix-2732, plain, ( ~class_Rings_Ocomm__semiring__1(_u4025) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4025), _u4026), hAPP(c_Nat_OSuc, _u4027)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4025), _u4026), hAPP(hAPP(c_Power_Opower__class_Opower(_u4025), _u4026), _u4027))) )).
% 13.06/13.31 cnf(matrix-2733, plain, ( ~class_Int_Onumber(_u4028) | ~class_Rings_Oring(_u4028) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4028), _u4029), _u4030)), hAPP(c_Int_Onumber__class_Onumber__of(_u4028), _u4031)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4028), _u4031))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4030), hAPP(c_Int_Onumber__class_Onumber__of(_u4028), _u4031)))) )).
% 13.06/13.31 cnf(matrix-2734, plain, ( ~class_Int_Onumber(_u4032) | ~class_Rings_Oring(_u4032) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4032), _u4034), _u4035)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4032), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4034)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4035))) )).
% 13.06/13.31 cnf(matrix-2735, plain, ( ~class_Int_Onumber__ring(_u4036) | ~class_Rings_Olinordered__idom(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4036), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4037)), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4037), _u4038)) )).
% 13.06/13.31 cnf(matrix-2736, plain, ( ~class_Int_Onumber__ring(_u4036) | ~class_Rings_Olinordered__idom(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4037), _u4038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4036), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4037)), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4038))) )).
% 13.06/13.31 cnf(matrix-2737, plain, ( ~class_Rings_Ocomm__semiring__1(_u4039) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4039), _u4040), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4039)) )).
% 13.06/13.31 cnf(matrix-2738, plain, ( ~class_Rings_Ocomm__semiring__1(_u4041) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4041), hAPP(hAPP(c_Power_Opower__class_Opower(_u4041), _u4042), _u4043)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4041), _u4042), _u4044)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4041), _u4042), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4043), _u4044))) )).
% 13.06/13.31 cnf(matrix-2739, plain, ( ~class_Int_Onumber__ring(_u4045) | ~class_Rings_Olinordered__idom(_u4045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4045), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4046)), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4046), _u4047)) )).
% 13.06/13.31 cnf(matrix-2740, plain, ( ~class_Int_Onumber__ring(_u4045) | ~class_Rings_Olinordered__idom(_u4045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4046), _u4047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4045), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4046)), hAPP(c_Int_Onumber__class_Onumber__of(_u4045), _u4047))) )).
% 13.06/13.31 cnf(matrix-2741, plain, ( ~class_Int_Onumber__ring(_u4048) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4049), _u4050)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), hAPP(c_Int_Onumber__class_Onumber__of(_u4048), _u4049)), hAPP(c_Int_Onumber__class_Onumber__of(_u4048), _u4050))) )).
% 13.06/13.31 cnf(matrix-2742, plain, ( ~class_Int_Onumber__ring(_u4051) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4051), hAPP(c_Int_Onumber__class_Onumber__of(_u4051), _u4052)), hAPP(c_Int_Onumber__class_Onumber__of(_u4051), _u4053)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4051), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4052), _u4053))) )).
% 13.06/13.31 cnf(matrix-2743, plain, ( ~class_Int_Onumber__ring(_u4054) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4054), hAPP(c_Int_Onumber__class_Onumber__of(_u4054), _u4055)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4054), hAPP(c_Int_Onumber__class_Onumber__of(_u4054), _u4056)), _u4057)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4054), hAPP(c_Int_Onumber__class_Onumber__of(_u4054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4055), _u4056))), _u4057)) )).
% 13.06/13.31 cnf(matrix-2744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4058)) | 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), _u4058), _u4059))) )).
% 13.06/13.31 cnf(matrix-2745, plain, ( ~class_Int_Onumber__ring(_u4060) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), hAPP(c_Int_Onumber__class_Onumber__of(_u4060), _u4061)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), hAPP(c_Int_Onumber__class_Onumber__of(_u4060), _u4062)), _u4063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), hAPP(c_Int_Onumber__class_Onumber__of(_u4060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4061), _u4062))), _u4063)) )).
% 13.06/13.31 cnf(matrix-2746, plain, ( ~class_Int_Onumber__ring(_u4064) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4064), hAPP(c_Int_Onumber__class_Onumber__of(_u4064), _u4065)), hAPP(c_Int_Onumber__class_Onumber__of(_u4064), _u4066)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4064), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4065), _u4066))) )).
% 13.06/13.31 cnf(matrix-2747, plain, ( ~class_Int_Onumber__ring(_u4067) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4068), _u4069)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4067), hAPP(c_Int_Onumber__class_Onumber__of(_u4067), _u4068)), hAPP(c_Int_Onumber__class_Onumber__of(_u4067), _u4069))) )).
% 13.06/13.31 cnf(matrix-2748, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4070), _u4071)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4070) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2749, plain, ( ~class_Int_Onumber__ring(_u4072) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4072), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4073), _u4074)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4072), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4073)), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4074))) )).
% 13.06/13.31 cnf(matrix-2750, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4075), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4076), _u4077)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4075), _u4076)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4075), _u4077))) )).
% 13.06/13.31 cnf(matrix-2751, plain, ( ~class_Int_Onumber__ring(_u4078) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4078), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4079)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4078), hAPP(c_Int_Onumber__class_Onumber__of(_u4078), _u4079))) )).
% 13.06/13.31 cnf(matrix-2752, plain, ( ~class_Int_Onumber__ring(_u4080) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4080), hAPP(c_Int_Onumber__class_Onumber__of(_u4080), _u4081)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4080), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4081))) )).
% 13.06/13.31 cnf(matrix-2753, plain, ( ~class_Rings_Olinordered__idom(_u4082) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4082), c_Groups_Osgn__class_Osgn(_u4082, _u4083)), hAPP(c_Groups_Oabs__class_Oabs(_u4082), _u4083)) = _u4083) )).
% 13.06/13.31 cnf(matrix-2754, plain, ( ~class_Rings_Olinordered__idom(_u4084) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4084), _u4085) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4084), _u4085), c_Groups_Osgn__class_Osgn(_u4084, _u4085))) )).
% 13.06/13.31 cnf(matrix-2755, plain, ( ~class_Rings_Olinordered__idom(_u4086) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4086), c_Groups_Ozero__class_Ozero(_u4086)), _u4087)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4086), hAPP(c_Groups_Oabs__class_Oabs(_u4086), _u4088)), _u4087) = hAPP(c_Groups_Oabs__class_Oabs(_u4086), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4086), _u4088), _u4087))) )).
% 13.06/13.31 cnf(matrix-2756, plain, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4091)) )).
% 13.06/13.31 cnf(matrix-2757, plain, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4091), c_Groups_Ozero__class_Ozero(_u4089))) )).
% 13.06/13.31 cnf(matrix-2758, plain, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4090), c_Groups_Ozero__class_Ozero(_u4089))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), c_Groups_Ozero__class_Ozero(_u4089)), _u4091)) )).
% 13.06/13.31 cnf(matrix-2759, plain, ( ~class_Rings_Oordered__ring__abs(_u4089) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4090)), hAPP(c_Groups_Oabs__class_Oabs(_u4089), _u4091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4090), c_Groups_Ozero__class_Ozero(_u4089))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4089), _u4091), c_Groups_Ozero__class_Ozero(_u4089))) )).
% 13.06/13.31 cnf(matrix-2760, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4092) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4092), hAPP(c_Groups_Oabs__class_Oabs(_u4092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4092), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4092), _u4093), _u4094)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4092), _u4095), _u4096)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4092), hAPP(c_Groups_Oabs__class_Oabs(_u4092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4092), _u4093), _u4095))), hAPP(c_Groups_Oabs__class_Oabs(_u4092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4092), _u4094), _u4096))))) )).
% 13.06/13.31 cnf(matrix-2761, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4097) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4097), hAPP(c_Groups_Oabs__class_Oabs(_u4097), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4097), _u4098), _u4099))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4097), hAPP(c_Groups_Oabs__class_Oabs(_u4097), _u4098)), hAPP(c_Groups_Oabs__class_Oabs(_u4097), _u4099)))) )).
% 13.06/13.31 cnf(matrix-2762, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), _u4101), c_Groups_Ozero__class_Ozero(_u4100))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4100), _u4101) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4100), _u4101)) )).
% 13.06/13.31 cnf(matrix-2763, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4102), hAPP(c_Groups_Ouminus__class_Ouminus(_u4102), hAPP(c_Groups_Oabs__class_Oabs(_u4102), _u4103))), c_Groups_Ozero__class_Ozero(_u4102))) )).
% 13.06/13.31 cnf(matrix-2764, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4104), _u4105), c_Groups_Ozero__class_Ozero(_u4104))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4104), _u4105) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4104), _u4105)) )).
% 13.06/13.31 cnf(matrix-2765, plain, ( ~class_Groups_Oabs__if(_u4106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4106), _u4107), c_Groups_Ozero__class_Ozero(_u4106))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4106), _u4107) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4106), _u4107)) )).
% 13.06/13.31 cnf(matrix-2766, plain, ( ~class_Groups_Oabs__if(_u4106) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4106), _u4107), c_Groups_Ozero__class_Ozero(_u4106))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4106), _u4107) = _u4107) )).
% 13.06/13.31 cnf(matrix-2767, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4109)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4109 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2768, plain, ( ( _u4110 != 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), _u4110)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2769, plain, ( ~class_Int_Onumber__ring(_u4111) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4111), hAPP(c_Int_Onumber__class_Onumber__of(_u4111), _u4112)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4111), hAPP(c_Int_Onumber__class_Onumber__of(_u4111), _u4113)), _u4114)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4111), hAPP(c_Int_Onumber__class_Onumber__of(_u4111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4112), _u4113))), _u4114)) )).
% 13.06/13.31 cnf(matrix-2770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4116) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4116)) )).
% 13.06/13.31 cnf(matrix-2771, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4117) = _u4117) )).
% 13.06/13.31 cnf(matrix-2772, plain, ( ~class_Int_Onumber__ring(_u4118) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(c_Groups_Ouminus__class_Ouminus(_u4118), hAPP(c_Int_Onumber__class_Onumber__of(_u4118), _u4119))), _u4120) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(c_Int_Onumber__class_Onumber__of(_u4118), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4119))), _u4120)) )).
% 13.06/13.31 cnf(matrix-2773, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4121), _u4122))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4121))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4122)))) )).
% 13.06/13.31 cnf(matrix-2774, plain, ( ~class_Int_Onumber__ring(_u4123) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4123), hAPP(c_Int_Onumber__class_Onumber__of(_u4123), _u4124)), hAPP(c_Int_Onumber__class_Onumber__of(_u4123), _u4125)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4124), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4125)))) )).
% 13.06/13.31 cnf(matrix-2775, plain, ( ~class_Int_Onumber__ring(_u4126) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), hAPP(c_Int_Onumber__class_Onumber__of(_u4126), _u4127)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4126), _u4128), hAPP(c_Int_Onumber__class_Onumber__of(_u4126), _u4129))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), hAPP(c_Int_Onumber__class_Onumber__of(_u4126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4127), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4129)))), _u4128)) )).
% 13.06/13.31 cnf(matrix-2776, plain, ( ~class_Rings_Olinordered__semidom(_u4130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4130), _u4131), _u4132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4130), c_Groups_Ozero__class_Ozero(_u4130)), _u4131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4130), hAPP(hAPP(c_Power_Opower__class_Opower(_u4130), _u4131), _u4133)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4130), _u4132), _u4133))) )).
% 13.06/13.31 cnf(matrix-2777, plain, ( ~class_Rings_Olinordered__semidom(_u4134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4134), c_Groups_Oone__class_Oone(_u4134)), _u4135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4134), c_Groups_Oone__class_Oone(_u4134)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4134), _u4135), _u4136))) )).
% 13.06/13.31 cnf(matrix-2778, plain, ( ~class_Rings_Olinordered__semidom(_u4137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4137), c_Groups_Oone__class_Oone(_u4137)), _u4138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4139)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4140))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4139), _u4140)) )).
% 13.06/13.31 cnf(matrix-2779, plain, ( ~class_Rings_Olinordered__semidom(_u4137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4137), c_Groups_Oone__class_Oone(_u4137)), _u4138)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4139), _u4140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4139)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4137), _u4138), _u4140))) )).
% 13.06/13.31 cnf(matrix-2780, plain, ( ~class_Rings_Olinordered__semidom(_u4141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4141), c_Groups_Oone__class_Oone(_u4141)), _u4142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4141), hAPP(hAPP(c_Power_Opower__class_Opower(_u4141), _u4142), _u4143)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4141), _u4142), _u4144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4143), _u4144)) )).
% 13.06/13.31 cnf(matrix-2781, plain, ( ~class_Rings_Olinordered__semidom(_u4145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4146), _u4147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4145), c_Groups_Ozero__class_Ozero(_u4145)), _u4148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4145), _u4148), c_Groups_Oone__class_Oone(_u4145))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4145), hAPP(hAPP(c_Power_Opower__class_Opower(_u4145), _u4148), _u4147)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4145), _u4148), _u4146))) )).
% 13.06/13.31 cnf(matrix-2782, plain, ( ~class_Rings_Olinordered__semidom(_u4149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4150), _u4151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4149), c_Groups_Ozero__class_Ozero(_u4149)), _u4152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4149), _u4152), c_Groups_Oone__class_Oone(_u4149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4149), hAPP(hAPP(c_Power_Opower__class_Opower(_u4149), _u4152), _u4151)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4149), _u4152), _u4150))) )).
% 13.06/13.31 cnf(matrix-2783, plain, ( ~class_Rings_Olinordered__semidom(_u4153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4153), c_Groups_Ozero__class_Ozero(_u4153)), _u4154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4153), _u4154), c_Groups_Oone__class_Oone(_u4153))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4153), hAPP(hAPP(c_Power_Opower__class_Opower(_u4153), _u4154), hAPP(c_Nat_OSuc, _u4155))), c_Groups_Oone__class_Oone(_u4153))) )).
% 13.06/13.31 cnf(matrix-2784, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4156) = _u4156) )).
% 13.06/13.31 cnf(matrix-2785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4159)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4161))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4159), _u4161)) )).
% 13.06/13.31 cnf(matrix-2786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4160), _u4162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4160)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4162))) )).
% 13.06/13.31 cnf(matrix-2787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4165)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4167))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4165), _u4167)) )).
% 13.06/13.31 cnf(matrix-2788, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4166), _u4168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4166)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4168))) )).
% 13.06/13.31 cnf(matrix-2789, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4169)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4170)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4169), _u4170))) )).
% 13.06/13.31 cnf(matrix-2790, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4171)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4172)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4171), _u4172))) )).
% 13.06/13.31 cnf(matrix-2791, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4173)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4173))) )).
% 13.06/13.31 cnf(matrix-2792, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4176), _u4178) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4176 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2793, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4177), _u4179) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4179 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2794, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4177), _u4179) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4177 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2795, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4180) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2796, 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), _u4183), _u4185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4183)) | ( _u4185 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2797, 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), _u4184), _u4186))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4184)) )).
% 13.06/13.31 cnf(matrix-2798, 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), _u4184), _u4186))) | ( _u4186 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2799, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4187), _u4188)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4187), _u4189))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4188), _u4189)) )).
% 13.06/13.31 cnf(matrix-2800, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4190) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4190)) )).
% 13.06/13.31 cnf(matrix-2801, 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))), _u4191)) | 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), _u4191), _u4192))) )).
% 13.06/13.31 cnf(matrix-2802, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4193)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4193)) )).
% 13.06/13.31 cnf(matrix-2803, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4194) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4194))) )).
% 13.06/13.31 cnf(matrix-2804, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4195)), _u4196) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4195), _u4196))) )).
% 13.06/13.31 cnf(matrix-2805, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4197), _u4198)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4197)), _u4198)) )).
% 13.06/13.31 cnf(matrix-2806, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4199)), _u4200) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4199), _u4200))) )).
% 13.06/13.31 cnf(matrix-2807, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4201)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4202)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4201), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4202)))) )).
% 13.06/13.31 cnf(matrix-2808, plain, ( ( _u4205 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4207), _u4205) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2809, plain, ( ( _u4206 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4208), _u4206) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4208), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4208), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4206), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 13.06/13.31 cnf(matrix-2810, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4211) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4213)) | ( _u4211 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4213))) )).
% 13.06/13.31 cnf(matrix-2811, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4211) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4213)) | 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), _u4213))) )).
% 13.06/13.31 cnf(matrix-2812, plain, ( ( _u4212 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4214))) | ~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), _u4214))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4212) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4214)) )).
% 13.06/13.31 cnf(matrix-2813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4215)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4215), _u4216)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4215)), _u4216)) )).
% 13.06/13.31 cnf(matrix-2814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4217)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4217)), _u4218) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4217), _u4218))) )).
% 13.06/13.31 cnf(matrix-2815, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4219) | ( _u4220 = c_Groups_Ozero__class_Ozero(_u4219)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4219), _u4220), _u4221) != c_Groups_Ozero__class_Ozero(_u4219)) )).
% 13.06/13.31 cnf(matrix-2816, plain, ( ~class_Groups_Omonoid__mult(_u4222) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4222), hAPP(hAPP(c_Power_Opower__class_Opower(_u4222), _u4223), _u4224)), _u4223) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4222), _u4223), hAPP(hAPP(c_Power_Opower__class_Opower(_u4222), _u4223), _u4224))) )).
% 13.06/13.31 cnf(matrix-2817, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4225) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4225), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4225), _u4226), _u4227)), _u4228) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4225), hAPP(hAPP(c_Power_Opower__class_Opower(_u4225), _u4226), _u4228)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4225), _u4227), _u4228))) )).
% 13.06/13.31 cnf(matrix-2818, plain, ( ~class_Groups_Omonoid__mult(_u4229) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4229), c_Groups_Oone__class_Oone(_u4229)), _u4230) = c_Groups_Oone__class_Oone(_u4229)) )).
% 13.06/13.31 cnf(matrix-2819, plain, ( ~class_Rings_Osemiring__1(_u4231) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4231), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4232), _u4233)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4231), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4231), _u4232)), _u4233)) )).
% 13.06/13.31 cnf(matrix-2820, plain, ( ~class_Groups_Omonoid__mult(_u4234) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4234), _u4235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4236), _u4237)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4234), hAPP(hAPP(c_Power_Opower__class_Opower(_u4234), _u4235), _u4236)), _u4237)) )).
% 13.06/13.31 cnf(matrix-2821, 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), _u4238)) = 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), _u4238)))) )).
% 13.06/13.31 cnf(matrix-2822, plain, ( ~class_Rings_Olinordered__idom(_u4239) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4239), hAPP(hAPP(c_Power_Opower__class_Opower(_u4239), _u4240), _u4241)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4239), hAPP(c_Groups_Oabs__class_Oabs(_u4239), _u4240)), _u4241)) )).
% 13.06/13.31 cnf(matrix-2823, plain, ( ~class_Groups_Omonoid__mult(_u4242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4242), _u4243), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4243) )).
% 13.06/13.31 cnf(matrix-2824, plain, ( ~class_Rings_Olinordered__semidom(_u4244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4244), c_Groups_Ozero__class_Ozero(_u4244)), _u4245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4244), c_Groups_Ozero__class_Ozero(_u4244)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4244), _u4245), _u4246))) )).
% 13.06/13.31 cnf(matrix-2825, plain, ( ~class_Rings_Olinordered__semidom(_u4247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4247), _u4248), _u4249)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4247), c_Groups_Ozero__class_Ozero(_u4247)), _u4248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4247), hAPP(hAPP(c_Power_Opower__class_Opower(_u4247), _u4248), _u4250)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4247), _u4249), _u4250))) )).
% 13.06/13.31 cnf(matrix-2826, plain, ( ~class_Rings_Olinordered__semidom(_u4251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4251), c_Groups_Ozero__class_Ozero(_u4251)), _u4252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4251), c_Groups_Ozero__class_Ozero(_u4251)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4251), _u4252), _u4253))) )).
% 13.06/13.31 cnf(matrix-2827, plain, ( ~class_Power_Opower(_u4254) | ~class_Rings_Omult__zero(_u4254) | ~class_Rings_Ono__zero__divisors(_u4254) | ~class_Rings_Ozero__neq__one(_u4254) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) != c_Groups_Ozero__class_Ozero(_u4254)) | ( _u4255 = c_Groups_Ozero__class_Ozero(_u4254)) )).
% 13.06/13.31 cnf(matrix-2828, plain, ( ~class_Power_Opower(_u4254) | ~class_Rings_Omult__zero(_u4254) | ~class_Rings_Ono__zero__divisors(_u4254) | ~class_Rings_Ozero__neq__one(_u4254) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) != c_Groups_Ozero__class_Ozero(_u4254)) | ( _u4256 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2829, plain, ( ~class_Power_Opower(_u4254) | ~class_Rings_Omult__zero(_u4254) | ~class_Rings_Ono__zero__divisors(_u4254) | ~class_Rings_Ozero__neq__one(_u4254) | ( _u4255 != c_Groups_Ozero__class_Ozero(_u4254)) | ( _u4256 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) = c_Groups_Ozero__class_Ozero(_u4254)) )).
% 13.06/13.31 cnf(matrix-2830, plain, ( ~class_Rings_Olinordered__semidom(_u4257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), c_Groups_Oone__class_Oone(_u4257)), _u4258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), c_Groups_Oone__class_Oone(_u4257)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4257), _u4258), _u4259))) )).
% 13.06/13.31 cnf(matrix-2831, plain, ( ~class_Power_Opower(_u4260) | ~class_Rings_Osemiring__0(_u4260) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), c_Groups_Ozero__class_Ozero(_u4260)), hAPP(c_Nat_OSuc, _u4261)) = c_Groups_Ozero__class_Ozero(_u4260)) )).
% 13.06/13.31 cnf(matrix-2832, plain, ( ~class_Rings_Olinordered__semidom(_u4262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4262), c_Groups_Oone__class_Oone(_u4262)), _u4263)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4264) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4265)) | ( _u4264 = _u4265) )).
% 13.06/13.31 cnf(matrix-2833, plain, ( ~class_Rings_Olinordered__semidom(_u4262) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4262), c_Groups_Oone__class_Oone(_u4262)), _u4263)) | ( _u4264 != _u4265) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4264) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4262), _u4263), _u4265)) )).
% 13.06/13.31 cnf(matrix-2834, plain, ( ~class_Groups_Omonoid__mult(_u4266) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4266), _u4267), hAPP(c_Nat_OSuc, _u4268)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4266), hAPP(hAPP(c_Power_Opower__class_Opower(_u4266), _u4267), _u4268)), _u4267)) )).
% 13.06/13.31 cnf(matrix-2835, plain, ( ~class_Power_Opower(_u4269) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), hAPP(c_Nat_OSuc, _u4271)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4269), _u4270), hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), _u4271))) )).
% 13.06/13.31 cnf(matrix-2836, plain, ( ~class_Power_Opower(_u4272) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4272), _u4273), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4272)) )).
% 13.06/13.31 cnf(matrix-2837, plain, ( ~class_Groups_Omonoid__mult(_u4274) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4276), _u4277)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4274), hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), _u4276)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), _u4277))) )).
% 13.06/13.31 cnf(matrix-2838, plain, ( ~class_Rings_Olinordered__idom(_u4278) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4278), hAPP(hAPP(c_Power_Opower__class_Opower(_u4278), hAPP(c_Groups_Ouminus__class_Ouminus(_u4278), _u4279)), _u4280)) = hAPP(c_Groups_Oabs__class_Oabs(_u4278), hAPP(hAPP(c_Power_Opower__class_Opower(_u4278), _u4279), _u4280))) )).
% 13.06/13.31 cnf(matrix-2839, plain, ( ~class_Rings_Olinordered__semidom(_u4281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Power_Opower__class_Opower(_u4281), _u4282), _u4283)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4281), _u4284), _u4283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4281), c_Groups_Ozero__class_Ozero(_u4281)), _u4284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4282), _u4284)) )).
% 13.06/13.31 cnf(matrix-2840, plain, ( ~class_Rings_Olinordered__semidom(_u4285) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4285), _u4286), hAPP(c_Nat_OSuc, _u4287)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4285), _u4288), hAPP(c_Nat_OSuc, _u4287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4285), c_Groups_Ozero__class_Ozero(_u4285)), _u4286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4285), c_Groups_Ozero__class_Ozero(_u4285)), _u4288)) | ( _u4286 = _u4288) )).
% 13.06/13.31 cnf(matrix-2841, plain, ( ~class_Rings_Olinordered__semidom(_u4289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4289), hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), hAPP(c_Nat_OSuc, _u4291))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4292), hAPP(c_Nat_OSuc, _u4291)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4289), c_Groups_Ozero__class_Ozero(_u4289)), _u4292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4289), _u4290), _u4292)) )).
% 13.06/13.31 cnf(matrix-2842, plain, ( ~class_Rings_Olinordered__semidom(_u4293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), c_Groups_Oone__class_Oone(_u4293)), _u4294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), c_Groups_Oone__class_Oone(_u4293)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4293), _u4294), hAPP(hAPP(c_Power_Opower__class_Opower(_u4293), _u4294), _u4295)))) )).
% 13.06/13.31 cnf(matrix-2843, plain, ( ~class_Rings_Olinordered__semidom(_u4296) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4296), c_Groups_Oone__class_Oone(_u4296)), _u4297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4296), hAPP(hAPP(c_Power_Opower__class_Opower(_u4296), _u4297), _u4298)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4296), _u4297), hAPP(hAPP(c_Power_Opower__class_Opower(_u4296), _u4297), _u4298)))) )).
% 13.06/13.31 cnf(matrix-2844, plain, ( ~class_Power_Opower(_u4299) | ~class_Rings_Osemiring__0(_u4299) | ( _u4300 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4299), c_Groups_Ozero__class_Ozero(_u4299)), _u4300) = c_Groups_Oone__class_Oone(_u4299)) )).
% 13.06/13.31 cnf(matrix-2845, plain, ( ~class_Power_Opower(_u4299) | ~class_Rings_Osemiring__0(_u4299) | ( _u4300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4299), c_Groups_Ozero__class_Ozero(_u4299)), _u4300) = c_Groups_Ozero__class_Ozero(_u4299)) )).
% 13.06/13.31 cnf(matrix-2846, plain, ( ~class_Rings_Olinordered__semidom(_u4301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4301), c_Groups_Oone__class_Oone(_u4301)), _u4302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4301), c_Groups_Oone__class_Oone(_u4301)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4301), _u4302), hAPP(c_Nat_OSuc, _u4303)))) )).
% 13.06/13.31 cnf(matrix-2847, plain, ( ~class_Rings_Olinordered__semidom(_u4304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4305), _u4306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4304), c_Groups_Oone__class_Oone(_u4304)), _u4307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4304), hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4307), _u4305)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4307), _u4306))) )).
% 13.06/13.31 cnf(matrix-2848, plain, ( ~class_Rings_Olinordered__semidom(_u4308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4308), c_Groups_Oone__class_Oone(_u4308)), _u4309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4308), hAPP(hAPP(c_Power_Opower__class_Opower(_u4308), _u4309), _u4310)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4308), _u4309), _u4311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4310), _u4311)) )).
% 13.06/13.31 cnf(matrix-2849, plain, ( ~class_Rings_Olinordered__semidom(_u4312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), c_Groups_Oone__class_Oone(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4314)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4314), _u4315)) )).
% 13.06/13.31 cnf(matrix-2850, plain, ( ~class_Rings_Olinordered__semidom(_u4312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), c_Groups_Oone__class_Oone(_u4312)), _u4313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4314), _u4315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4312), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4314)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4312), _u4313), _u4315))) )).
% 13.06/13.31 cnf(matrix-2851, plain, ( ~class_Rings_Olinordered__idom(_u4316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4316), c_Groups_Ozero__class_Ozero(_u4316)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4316), hAPP(c_Groups_Oabs__class_Oabs(_u4316), _u4317)), _u4318))) )).
% 13.06/13.31 cnf(matrix-2852, plain, ( ~class_Rings_Olinordered__semidom(_u4319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4320), _u4321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4319), c_Groups_Oone__class_Oone(_u4319)), _u4322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4319), hAPP(hAPP(c_Power_Opower__class_Opower(_u4319), _u4322), _u4320)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4319), _u4322), _u4321))) )).
% 13.06/13.31 cnf(matrix-2853, plain, ( ~class_Rings_Oring__1(_u4323) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4323), hAPP(c_Groups_Ouminus__class_Ouminus(_u4323), _u4324)), _u4325) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4323), hAPP(hAPP(c_Power_Opower__class_Opower(_u4323), hAPP(c_Groups_Ouminus__class_Ouminus(_u4323), c_Groups_Oone__class_Oone(_u4323))), _u4325)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4323), _u4324), _u4325))) )).
% 13.06/13.31 cnf(matrix-2854, plain, ( ~class_Rings_Olinordered__semidom(_u4326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4326), c_Groups_Ozero__class_Ozero(_u4326)), _u4327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4326), _u4327), c_Groups_Oone__class_Oone(_u4326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4326), _u4327), hAPP(hAPP(c_Power_Opower__class_Opower(_u4326), _u4327), _u4328))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4326), _u4327), _u4328))) )).
% 13.06/13.31 cnf(matrix-2855, plain, ( ~class_Rings_Olinordered__semidom(_u4329) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4329), _u4330), _u4331) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4329), _u4332), _u4331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), c_Groups_Ozero__class_Ozero(_u4329)), _u4330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4329), c_Groups_Ozero__class_Ozero(_u4329)), _u4332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4331)) | ( _u4330 = _u4332) )).
% 13.06/13.31 cnf(matrix-2856, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4334))) | ( 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), _u4334)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-2857, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4335))) | ( 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), _u4335)) = 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), _u4335)))) )).
% 13.06/13.31 cnf(matrix-2858, plain, ( ~class_Power_Opower(_u4336) | ( c_Power_Opower__class_Opower(_u4336) = c_Power_Opower_Opower(_u4336, c_Groups_Oone__class_Oone(_u4336), c_Groups_Otimes__class_Otimes(_u4336))) )).
% 13.06/13.31 cnf(matrix-2859, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4339))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4339)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4341)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2860, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4340))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4340)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4342)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4340)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4342)))) )).
% 13.06/13.31 cnf(matrix-2861, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4345))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4345), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4347)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2862, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4346))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4348))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4346), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4348)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4346)) )).
% 13.06/13.31 cnf(matrix-2863, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4346))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4348))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4346), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4348)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4346), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4348)))) )).
% 13.06/13.31 cnf(matrix-2864, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4351))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4351)), _u4353) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4353)) )).
% 13.06/13.31 cnf(matrix-2865, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4352))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4352)), _u4354) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4352)), _u4354))) )).
% 13.06/13.31 cnf(matrix-2866, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4357))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4357)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4359)) = 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), _u4359))) )).
% 13.06/13.31 cnf(matrix-2867, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4358))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4358)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4360)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4358)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4360)))) )).
% 13.06/13.31 cnf(matrix-2868, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4361)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4361) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4361), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2869, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 13.06/13.31 cnf(matrix-2870, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2872, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2873, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4362))) )).
% 13.06/13.31 cnf(matrix-2874, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2875, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2876, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2877, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4363) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4363)) )).
% 13.06/13.31 cnf(matrix-2878, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4365)) )).
% 13.06/13.31 cnf(matrix-2879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4366)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4366)) )).
% 13.06/13.31 cnf(matrix-2880, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4368), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4369), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4369)) )).
% 13.06/13.31 cnf(matrix-2882, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4370)) | ( hAPP(c_Int_Onat, _u4370) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2883, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4371)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4371)) = _u4371) )).
% 13.06/13.31 cnf(matrix-2884, plain, ( ~class_Int_Onumber__ring(_u4372) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), c_Int_OMin)), _u4373) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4372), _u4373)) )).
% 13.06/13.31 cnf(matrix-2885, plain, ( ~class_Int_Onumber__ring(_u4374) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4374), _u4375), hAPP(c_Int_Onumber__class_Onumber__of(_u4374), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4374), _u4375)) )).
% 13.06/13.31 cnf(matrix-2886, plain, ( ~class_Int_Onumber__ring(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4376), c_Groups_Oone__class_Oone(_u4376))) )).
% 13.06/13.31 cnf(matrix-2887, plain, ( ~class_Int_Onumber__ring(_u4377) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4377), c_Groups_Oone__class_Oone(_u4377)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4377), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2888, plain, ( ~class_Int_Onumber__ring(_u4378) | ~class_Rings_Olinordered__idom(_u4378) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4378), hAPP(c_Int_Onumber__class_Onumber__of(_u4378), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4378)) )).
% 13.06/13.31 cnf(matrix-2889, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4379, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2890, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4380), _u4381) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4380 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4380 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2891, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2892, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2893, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4384 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2894, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4384), _u4386) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4386 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2895, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4385), _u4387) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4385 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4387 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2896, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4385), _u4387) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4385 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4387 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2897, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4388, _u4389, _u4390), _u4391), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4389) )).
% 13.06/13.31 cnf(matrix-2898, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4392, _u4393, _u4394), _u4395), hAPP(c_Nat_OSuc, _u4396)) = hAPP(hAPP(_u4394, _u4395), hAPP(hAPP(c_Power_Opower_Opower(_u4392, _u4393, _u4394), _u4395), _u4396))) )).
% 13.06/13.31 cnf(matrix-2899, plain, ( ~class_Int_Onumber__ring(_u4397) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4397), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4397), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2900, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4398), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4398)) )).
% 13.06/13.31 cnf(matrix-2901, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4399))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4399) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2902, 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, _u4400))))) )).
% 13.06/13.31 cnf(matrix-2903, plain, ( ~class_Int_Onumber__ring(_u4401) | ~class_Rings_Olinordered__idom(_u4401) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4401), hAPP(hAPP(c_Power_Opower__class_Opower(_u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4401), c_Int_OMin)), _u4402)) = c_Groups_Oone__class_Oone(_u4401)) )).
% 13.06/13.31 cnf(matrix-2904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4403)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4403) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2905, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4406) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4408)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4408)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2906, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4406) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4408)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4408))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2907, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4406) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4408)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4406))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4408))) | ( _u4406 = _u4408) )).
% 13.06/13.31 cnf(matrix-2908, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) | ( _u4407 != _u4409) )).
% 13.06/13.31 cnf(matrix-2909, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) )).
% 13.06/13.31 cnf(matrix-2910, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4407 != _u4409) )).
% 13.06/13.31 cnf(matrix-2911, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407))) )).
% 13.06/13.31 cnf(matrix-2912, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) | ( _u4407 != _u4409) )).
% 13.06/13.31 cnf(matrix-2913, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409))) )).
% 13.06/13.31 cnf(matrix-2914, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4407) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4409)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4409)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4407) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4407 != _u4409) )).
% 13.06/13.31 cnf(matrix-2915, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4413))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4413)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4415)), _u4417)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4415)), _u4417)) )).
% 13.06/13.31 cnf(matrix-2916, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4414))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4416))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4414)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4416)), _u4418)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4414)), _u4418)) )).
% 13.06/13.31 cnf(matrix-2917, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4414))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4416))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4414)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4416)), _u4418)) = 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), _u4414), _u4416))), _u4418)) )).
% 13.06/13.31 cnf(matrix-2918, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4420))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4420)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2919, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4421))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4421)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4421)) )).
% 13.06/13.31 cnf(matrix-2920, plain, ( ~class_Int_Onumber__ring(_u4422) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4423))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4422), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4423)) = c_Groups_Ozero__class_Ozero(_u4422)) )).
% 13.06/13.31 cnf(matrix-2921, plain, ( ~class_Int_Onumber__ring(_u4422) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4423))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4422), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4423)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4422), _u4423)) )).
% 13.06/13.31 cnf(matrix-2922, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4424), _u4425)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4424), _u4425) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2923, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4428))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4428)), _u4430)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4430)) )).
% 13.06/13.31 cnf(matrix-2924, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4429))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4429)), _u4431)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4429))), _u4431)) )).
% 13.06/13.31 cnf(matrix-2925, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4433))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4433)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2926, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4434))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4434)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4434))) )).
% 13.06/13.31 cnf(matrix-2927, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem80(_u4439, _u4438, _u4437)), _u4437)) )).
% 13.06/13.31 cnf(matrix-2928, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | ( hAPP(_u4438, skolem80(_u4439, _u4438, _u4437)) = _u4439) )).
% 13.06/13.31 cnf(matrix-2929, 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(_u4438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4438, skolem79(_u4439, _u4438, _u4437))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem80(_u4439, _u4438, _u4437)), _u4437)) )).
% 13.06/13.31 cnf(matrix-2930, 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(_u4438, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem79(_u4439, _u4438, _u4437)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4438, skolem79(_u4439, _u4438, _u4437))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4438, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4439), hAPP(_u4438, _u4437))) | ( hAPP(_u4438, skolem80(_u4439, _u4438, _u4437)) = _u4439) )).
% 13.06/13.31 cnf(matrix-2931, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem82(_u4444, _u4443, _u4442)), _u4442)) )).
% 13.06/13.31 cnf(matrix-2932, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | ( hAPP(_u4443, skolem82(_u4444, _u4443, _u4442)) = _u4444) )).
% 13.06/13.31 cnf(matrix-2933, 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(_u4443, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4443, skolem81(_u4444, _u4443, _u4442))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem82(_u4444, _u4443, _u4442)), _u4442)) )).
% 13.06/13.31 cnf(matrix-2934, 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(_u4443, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem81(_u4444, _u4443, _u4442)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4443, skolem81(_u4444, _u4443, _u4442))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4443, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4444), hAPP(_u4443, _u4442))) | ( hAPP(_u4443, skolem82(_u4444, _u4443, _u4442)) = _u4444) )).
% 13.06/13.31 cnf(matrix-2935, plain, ( ~class_Int_Onumber__ring(_u4445) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4446) != hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4447)) | c_Int_Oiszero(_u4445, hAPP(c_Int_Onumber__class_Onumber__of(_u4445), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4446), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4447)))) )).
% 13.06/13.31 cnf(matrix-2936, plain, ( ~class_Int_Onumber__ring(_u4445) | ~c_Int_Oiszero(_u4445, hAPP(c_Int_Onumber__class_Onumber__of(_u4445), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4446), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4447)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4446) = hAPP(c_Int_Onumber__class_Onumber__of(_u4445), _u4447)) )).
% 13.06/13.31 cnf(matrix-2937, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u4449)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2938, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4450) != 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(_u4450)))) )).
% 13.06/13.31 cnf(matrix-2939, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4454), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4456)), _u4458)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2940, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4455), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4455)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4457)), _u4459)) = 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), _u4455), _u4457))), _u4459)) )).
% 13.06/13.31 cnf(matrix-2941, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-2942, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 13.06/13.31 cnf(matrix-2943, plain, ( ( c_Int_Osucc(c_Int_Opred(_u4460)) = _u4460) )).
% 13.06/13.31 cnf(matrix-2944, plain, ( ~class_Int_Onumber__ring(_u4461) | c_Int_Oiszero(_u4461, hAPP(c_Int_Onumber__class_Onumber__of(_u4461), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2945, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-2946, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2948, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4462), c_Int_OPls) = _u4462) )).
% 13.06/13.31 cnf(matrix-2949, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4463) = _u4463) )).
% 13.06/13.31 cnf(matrix-2950, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4464) = c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-2951, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4465), c_Int_OPls) = _u4465) )).
% 13.06/13.31 cnf(matrix-2952, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-2953, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-2954, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 13.06/13.31 cnf(matrix-2955, plain, ( ~class_Rings_Osemiring__1(_u4466) | ~c_Int_Oiszero(_u4466, _u4467) | ( _u4467 = c_Groups_Ozero__class_Ozero(_u4466)) )).
% 13.06/13.31 cnf(matrix-2956, plain, ( ~class_Rings_Osemiring__1(_u4466) | ( _u4467 != c_Groups_Ozero__class_Ozero(_u4466)) | c_Int_Oiszero(_u4466, _u4467) )).
% 13.06/13.31 cnf(matrix-2957, plain, ( ~class_Rings_Osemiring__1(_u4468) | c_Int_Oiszero(_u4468, c_Groups_Ozero__class_Ozero(_u4468)) )).
% 13.06/13.31 cnf(matrix-2958, plain, ( ~class_Rings_Osemiring__1(_u4469) | ~c_Int_Oiszero(_u4469, c_Groups_Oone__class_Oone(_u4469)) )).
% 13.06/13.31 cnf(matrix-2959, plain, ( ~class_Int_Onumber__ring(_u4470) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4470), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4470)) )).
% 13.06/13.31 cnf(matrix-2960, plain, ( ~class_Int_Onumber__ring(_u4471) | ( c_Groups_Ozero__class_Ozero(_u4471) = hAPP(c_Int_Onumber__class_Onumber__of(_u4471), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2961, plain, ( ~class_Int_Onumber__ring(_u4472) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4472), _u4473), hAPP(c_Int_Onumber__class_Onumber__of(_u4472), c_Int_OPls)) = _u4473) )).
% 13.06/13.31 cnf(matrix-2962, plain, ( ~class_Int_Onumber__ring(_u4474) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4474), hAPP(c_Int_Onumber__class_Onumber__of(_u4474), c_Int_OPls)), _u4475) = _u4475) )).
% 13.06/13.31 cnf(matrix-2963, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2964, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2965, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2966, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4476)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4477)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4476)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4477), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4476)))) )).
% 13.06/13.31 cnf(matrix-2968, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-2971, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2972, 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)) )).
% 13.06/13.31 cnf(matrix-2973, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 13.06/13.31 cnf(matrix-2974, plain, ( ~class_Int_Onumber__ring(_u4478) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4478), _u4479) != c_Groups_Ozero__class_Ozero(_u4478)) | c_Int_Oiszero(_u4478, hAPP(c_Int_Onumber__class_Onumber__of(_u4478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4479), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 13.06/13.31 cnf(matrix-2975, plain, ( ~class_Int_Onumber__ring(_u4478) | ~c_Int_Oiszero(_u4478, hAPP(c_Int_Onumber__class_Onumber__of(_u4478), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4479), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4478), _u4479) = c_Groups_Ozero__class_Ozero(_u4478)) )).
% 13.06/13.31 cnf(matrix-2976, plain, ( ~class_Int_Onumber__ring(_u4480) | ( c_Groups_Ozero__class_Ozero(_u4480) != hAPP(c_Int_Onumber__class_Onumber__of(_u4480), _u4481)) | c_Int_Oiszero(_u4480, hAPP(c_Int_Onumber__class_Onumber__of(_u4480), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4481)))) )).
% 13.06/13.31 cnf(matrix-2977, plain, ( ~class_Int_Onumber__ring(_u4480) | ~c_Int_Oiszero(_u4480, hAPP(c_Int_Onumber__class_Onumber__of(_u4480), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4481)))) | ( c_Groups_Ozero__class_Ozero(_u4480) = hAPP(c_Int_Onumber__class_Onumber__of(_u4480), _u4481)) )).
% 13.06/13.31 cnf(matrix-2978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4483), 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), _u4483)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2979, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4484), 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), _u4484)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4484))) )).
% 13.06/13.31 cnf(matrix-2980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4486), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4486)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2981, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4487), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4487)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4487))) )).
% 13.06/13.31 cnf(matrix-2982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4490), _u4492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4490)), _u4492)) )).
% 13.06/13.31 cnf(matrix-2983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4491)), _u4493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4491), _u4493)) )).
% 13.06/13.31 cnf(matrix-2984, plain, ( ( c_Int_Opred(_u4494) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4494), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-2985, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4495) = c_Int_Opred(_u4495)) )).
% 13.06/13.31 cnf(matrix-2986, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4496), c_Int_OMin) = c_Int_Opred(_u4496)) )).
% 13.06/13.31 cnf(matrix-2987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4498), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4498)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2988, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4499), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4499)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4499))) )).
% 13.06/13.31 cnf(matrix-2989, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4501) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4501), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4502), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4502) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-2991, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4504), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2992, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4505), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4505)) )).
% 13.06/13.31 cnf(matrix-2993, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 13.06/13.31 cnf(matrix-2994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4508), _u4510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4510)) )).
% 13.06/13.31 cnf(matrix-2995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4508)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4508), _u4510)) )).
% 13.06/13.31 cnf(matrix-2996, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4509)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4511))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4509), _u4511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4511)) )).
% 13.06/13.31 cnf(matrix-2997, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4514)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4514), _u4516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4514), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-2998, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4515)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4517))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4515), _u4517)) )).
% 13.06/13.31 cnf(matrix-2999, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4515)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4517))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4515), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3000, plain, ( ( c_Int_Osucc(_u4518) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4518), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3001, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4519), c_Int_OMin) = c_Int_Osucc(_u4519)) )).
% 13.06/13.31 cnf(matrix-3002, plain, ( ~class_Int_Onumber__ring(_u4520) | ~c_Int_Oiszero(_u4520, hAPP(c_Int_Onumber__class_Onumber__of(_u4520), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3003, plain, ( ~class_Int_Onumber__ring(_u4521) | ~class_Rings_Olinordered__idom(_u4521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4521), hAPP(c_Int_Onumber__class_Onumber__of(_u4521), _u4522)), c_Groups_Ozero__class_Ozero(_u4521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4522), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3004, plain, ( ~class_Int_Onumber__ring(_u4521) | ~class_Rings_Olinordered__idom(_u4521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4522), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4521), hAPP(c_Int_Onumber__class_Onumber__of(_u4521), _u4522)), c_Groups_Ozero__class_Ozero(_u4521))) )).
% 13.06/13.31 cnf(matrix-3005, plain, ( ~class_Int_Onumber__ring(_u4523) | ~class_Rings_Olinordered__idom(_u4523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4523), c_Groups_Ozero__class_Ozero(_u4523)), hAPP(c_Int_Onumber__class_Onumber__of(_u4523), _u4524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4524)) )).
% 13.06/13.31 cnf(matrix-3006, plain, ( ~class_Int_Onumber__ring(_u4523) | ~class_Rings_Olinordered__idom(_u4523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4524)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4523), c_Groups_Ozero__class_Ozero(_u4523)), hAPP(c_Int_Onumber__class_Onumber__of(_u4523), _u4524))) )).
% 13.06/13.31 cnf(matrix-3007, plain, ( ~class_Int_Onumber__ring(_u4525) | ~class_Rings_Olinordered__idom(_u4525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4525), c_Groups_Ozero__class_Ozero(_u4525)), hAPP(c_Int_Onumber__class_Onumber__of(_u4525), _u4526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4526)) )).
% 13.06/13.31 cnf(matrix-3008, plain, ( ~class_Int_Onumber__ring(_u4525) | ~class_Rings_Olinordered__idom(_u4525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4525), c_Groups_Ozero__class_Ozero(_u4525)), hAPP(c_Int_Onumber__class_Onumber__of(_u4525), _u4526))) )).
% 13.06/13.31 cnf(matrix-3009, plain, ( ~class_Int_Onumber__ring(_u4527) | ~class_Rings_Olinordered__idom(_u4527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), hAPP(c_Int_Onumber__class_Onumber__of(_u4527), _u4528)), c_Groups_Ozero__class_Ozero(_u4527))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4528), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3010, plain, ( ~class_Int_Onumber__ring(_u4527) | ~class_Rings_Olinordered__idom(_u4527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4528), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4527), hAPP(c_Int_Onumber__class_Onumber__of(_u4527), _u4528)), c_Groups_Ozero__class_Ozero(_u4527))) )).
% 13.06/13.31 cnf(matrix-3011, 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), _u4530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4530)) )).
% 13.06/13.31 cnf(matrix-3012, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4531)) | 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), _u4531))) )).
% 13.06/13.31 cnf(matrix-3013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4534), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4534)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4536)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4536)) )).
% 13.06/13.31 cnf(matrix-3014, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4535), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4535)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4537)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4535)) )).
% 13.06/13.31 cnf(matrix-3015, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4535), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4537), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4535)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4537)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4535), _u4537))) )).
% 13.06/13.31 cnf(matrix-3016, plain, ( ~class_Int_Onumber__ring(_u4538) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4538), c_Int_Osucc(_u4539)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4538), c_Groups_Oone__class_Oone(_u4538)), hAPP(c_Int_Onumber__class_Onumber__of(_u4538), _u4539))) )).
% 13.06/13.31 cnf(matrix-3017, plain, ( ~class_Int_Onumber__ring(_u4540) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4540), c_Int_Opred(_u4541)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4540), hAPP(c_Groups_Ouminus__class_Ouminus(_u4540), c_Groups_Oone__class_Oone(_u4540))), hAPP(c_Int_Onumber__class_Onumber__of(_u4540), _u4541))) )).
% 13.06/13.31 cnf(matrix-3018, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4544), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4544)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4546)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3019, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4545), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4547)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4545), _u4547))) )).
% 13.06/13.31 cnf(matrix-3020, plain, ( ~class_Int_Onumber__ring(_u4548) | ( c_Groups_Oone__class_Oone(_u4548) != hAPP(c_Int_Onumber__class_Onumber__of(_u4548), _u4549)) | c_Int_Oiszero(_u4548, hAPP(c_Int_Onumber__class_Onumber__of(_u4548), 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), _u4549)))) )).
% 13.06/13.31 cnf(matrix-3021, plain, ( ~class_Int_Onumber__ring(_u4548) | ~c_Int_Oiszero(_u4548, hAPP(c_Int_Onumber__class_Onumber__of(_u4548), 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), _u4549)))) | ( c_Groups_Oone__class_Oone(_u4548) = hAPP(c_Int_Onumber__class_Onumber__of(_u4548), _u4549)) )).
% 13.06/13.31 cnf(matrix-3022, plain, ( ~class_Int_Onumber__ring(_u4550) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4550), _u4551) != c_Groups_Oone__class_Oone(_u4550)) | c_Int_Oiszero(_u4550, hAPP(c_Int_Onumber__class_Onumber__of(_u4550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4551), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3023, plain, ( ~class_Int_Onumber__ring(_u4550) | ~c_Int_Oiszero(_u4550, hAPP(c_Int_Onumber__class_Onumber__of(_u4550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4551), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4550), _u4551) = c_Groups_Oone__class_Oone(_u4550)) )).
% 13.06/13.31 cnf(matrix-3024, plain, ( ~class_Int_Onumber__ring(_u4552) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4552), c_Groups_Oone__class_Oone(_u4552)), hAPP(c_Int_Onumber__class_Onumber__of(_u4552), _u4553)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4552), 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), _u4553)))) )).
% 13.06/13.31 cnf(matrix-3025, plain, ( ~class_Int_Onumber__ring(_u4554) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4554), hAPP(c_Int_Onumber__class_Onumber__of(_u4554), _u4555)), c_Groups_Oone__class_Oone(_u4554)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4554), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4555), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3026, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4556)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4557)) = 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)))), _u4556)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4557))) )).
% 13.06/13.31 cnf(matrix-3027, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4558)))), _u4559) = 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)))), _u4558)), _u4559)) )).
% 13.06/13.31 cnf(matrix-3028, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4560), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4561)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4560), 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)))), _u4561))) )).
% 13.06/13.31 cnf(matrix-3029, plain, ( ( c_Int_OBit1(_u4564) != c_Int_OBit1(_u4566)) | ( _u4564 = _u4566) )).
% 13.06/13.31 cnf(matrix-3030, plain, ( ( _u4565 != _u4567) | ( c_Int_OBit1(_u4565) = c_Int_OBit1(_u4567)) )).
% 13.06/13.31 cnf(matrix-3031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4570)), c_Int_OBit1(_u4572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4570), _u4572)) )).
% 13.06/13.31 cnf(matrix-3032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4571), _u4573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4571)), c_Int_OBit1(_u4573))) )).
% 13.06/13.31 cnf(matrix-3033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4576)), c_Int_OBit1(_u4578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4576), _u4578)) )).
% 13.06/13.31 cnf(matrix-3034, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4577), _u4579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4577)), c_Int_OBit1(_u4579))) )).
% 13.06/13.31 cnf(matrix-3035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4582)), c_Int_OBit1(_u4584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4582), _u4584)) )).
% 13.06/13.31 cnf(matrix-3036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4583), _u4585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4583)), c_Int_OBit1(_u4585))) )).
% 13.06/13.31 cnf(matrix-3037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4588)), c_Int_OBit1(_u4590))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4588), _u4590)) )).
% 13.06/13.31 cnf(matrix-3038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4589), _u4591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4589)), c_Int_OBit1(_u4591))) )).
% 13.06/13.31 cnf(matrix-3039, plain, ( ( c_Int_OBit1(_u4592) != c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-3040, plain, ( ( c_Int_OPls != c_Int_OBit1(_u4593)) )).
% 13.06/13.31 cnf(matrix-3041, plain, ( ( c_Int_OBit1(_u4595) != c_Int_OMin) | ( _u4595 = c_Int_OMin) )).
% 13.06/13.31 cnf(matrix-3042, plain, ( ( _u4596 != c_Int_OMin) | ( c_Int_OBit1(_u4596) = c_Int_OMin) )).
% 13.06/13.31 cnf(matrix-3043, plain, ( ( c_Int_OMin != c_Int_OBit1(_u4598)) | ( c_Int_OMin = _u4598) )).
% 13.06/13.31 cnf(matrix-3044, plain, ( ( c_Int_OMin != _u4599) | ( c_Int_OMin = c_Int_OBit1(_u4599)) )).
% 13.06/13.31 cnf(matrix-3045, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 13.06/13.31 cnf(matrix-3046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4601)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4601), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4602), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4602)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4604)) )).
% 13.06/13.31 cnf(matrix-3049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4605))) )).
% 13.06/13.31 cnf(matrix-3050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4607)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4607), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4608), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4608)), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3052, plain, ( ( c_Int_OBit1(_u4609) = 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)), _u4609)), _u4609)) )).
% 13.06/13.31 cnf(matrix-3053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4611)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4611), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4612), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4612)), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4614))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4614)) )).
% 13.06/13.31 cnf(matrix-3056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4615))) )).
% 13.06/13.31 cnf(matrix-3057, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4617)) )).
% 13.06/13.31 cnf(matrix-3058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4618))) )).
% 13.06/13.31 cnf(matrix-3059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4620)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4620), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3060, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4621), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4621)), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3061, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4623)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4623))) )).
% 13.06/13.31 cnf(matrix-3062, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4624))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4624)))) )).
% 13.06/13.31 cnf(matrix-3063, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4625)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4625)))) )).
% 13.06/13.31 cnf(matrix-3064, plain, ( ~class_Int_Onumber__ring(_u4626) | ~class_Int_Oring__char__0(_u4626) | ~c_Int_Oiszero(_u4626, hAPP(c_Int_Onumber__class_Onumber__of(_u4626), c_Int_OBit1(_u4627))) )).
% 13.06/13.31 cnf(matrix-3065, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3066, plain, ( ~class_Int_Onumber__ring(_u4628) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4628), c_Int_OBit1(_u4629)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4628), c_Groups_Oone__class_Oone(_u4628)), hAPP(c_Int_Onumber__class_Onumber__of(_u4628), _u4629))), hAPP(c_Int_Onumber__class_Onumber__of(_u4628), _u4629))) )).
% 13.06/13.31 cnf(matrix-3067, plain, ( ~class_Int_Onumber__ring(_u4630) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), hAPP(c_Int_Onumber__class_Onumber__of(_u4630), c_Int_OBit1(c_Int_OPls))), _u4631) = _u4631) )).
% 13.06/13.31 cnf(matrix-3068, plain, ( ~class_Int_Onumber__ring(_u4632) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4632), _u4633), hAPP(c_Int_Onumber__class_Onumber__of(_u4632), c_Int_OBit1(c_Int_OPls))) = _u4633) )).
% 13.06/13.31 cnf(matrix-3069, plain, ( ~class_Int_Onumber__ring(_u4634) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4634), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4634)) )).
% 13.06/13.31 cnf(matrix-3070, plain, ( ~class_Int_Onumber__ring(_u4635) | ( c_Groups_Oone__class_Oone(_u4635) = hAPP(c_Int_Onumber__class_Onumber__of(_u4635), c_Int_OBit1(c_Int_OPls))) )).
% 13.06/13.31 cnf(matrix-3071, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4637)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4637), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4638), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4638)), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4640)) )).
% 13.06/13.31 cnf(matrix-3074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4641))) )).
% 13.06/13.31 cnf(matrix-3075, 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))) )).
% 13.06/13.31 cnf(matrix-3076, 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)) )).
% 13.06/13.31 cnf(matrix-3077, 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))) )).
% 13.06/13.31 cnf(matrix-3078, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4642)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4642))) )).
% 13.06/13.31 cnf(matrix-3079, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3080, plain, ( ~class_Int_Onumber__ring(_u4643) | ~c_Int_Oiszero(_u4643, hAPP(c_Int_Onumber__class_Onumber__of(_u4643), c_Int_OBit1(c_Int_OPls))) )).
% 13.06/13.31 cnf(matrix-3081, 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))) )).
% 13.06/13.31 cnf(matrix-3082, 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))))) )).
% 13.06/13.31 cnf(matrix-3083, plain, ( ~class_Groups_Omonoid__mult(_u4644) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4644), _u4645), 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(_u4644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4644), _u4645), _u4645)), _u4645)) )).
% 13.06/13.31 cnf(matrix-3084, 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))))) )).
% 13.06/13.31 cnf(matrix-3085, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4646))) = 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)))), _u4646)) )).
% 13.06/13.31 cnf(matrix-3086, 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))))) )).
% 13.06/13.31 cnf(matrix-3087, 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))))) )).
% 13.06/13.31 cnf(matrix-3088, plain, ( ~class_Int_Onumber__ring(_u4647) | ~class_Rings_Olinordered__idom(_u4647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), c_Groups_Oone__class_Oone(_u4647)), hAPP(c_Int_Onumber__class_Onumber__of(_u4647), _u4648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4648)) )).
% 13.06/13.31 cnf(matrix-3089, plain, ( ~class_Int_Onumber__ring(_u4647) | ~class_Rings_Olinordered__idom(_u4647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), c_Groups_Oone__class_Oone(_u4647)), hAPP(c_Int_Onumber__class_Onumber__of(_u4647), _u4648))) )).
% 13.06/13.31 cnf(matrix-3090, plain, ( ~class_Int_Onumber__ring(_u4649) | ~class_Rings_Olinordered__idom(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4649), hAPP(c_Int_Onumber__class_Onumber__of(_u4649), _u4650)), c_Groups_Oone__class_Oone(_u4649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4650), c_Int_OBit1(c_Int_OPls))) )).
% 13.06/13.31 cnf(matrix-3091, plain, ( ~class_Int_Onumber__ring(_u4649) | ~class_Rings_Olinordered__idom(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4650), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4649), hAPP(c_Int_Onumber__class_Onumber__of(_u4649), _u4650)), c_Groups_Oone__class_Oone(_u4649))) )).
% 13.06/13.31 cnf(matrix-3092, plain, ( ~class_Int_Onumber__ring(_u4651) | ~class_Rings_Olinordered__idom(_u4651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4652)), c_Groups_Oone__class_Oone(_u4651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4652), c_Int_OBit1(c_Int_OPls))) )).
% 13.06/13.31 cnf(matrix-3093, plain, ( ~class_Int_Onumber__ring(_u4651) | ~class_Rings_Olinordered__idom(_u4651) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4652), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4651), hAPP(c_Int_Onumber__class_Onumber__of(_u4651), _u4652)), c_Groups_Oone__class_Oone(_u4651))) )).
% 13.06/13.31 cnf(matrix-3094, plain, ( ~class_Int_Onumber__ring(_u4653) | ~class_Rings_Olinordered__idom(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Oone__class_Oone(_u4653)), hAPP(c_Int_Onumber__class_Onumber__of(_u4653), _u4654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4654)) )).
% 13.06/13.31 cnf(matrix-3095, plain, ( ~class_Int_Onumber__ring(_u4653) | ~class_Rings_Olinordered__idom(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Oone__class_Oone(_u4653)), hAPP(c_Int_Onumber__class_Onumber__of(_u4653), _u4654))) )).
% 13.06/13.31 cnf(matrix-3096, plain, ( ~class_Int_Onumber__ring(_u4655) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4655), hAPP(c_Int_Onumber__class_Onumber__of(_u4655), _u4656)), c_Groups_Oone__class_Oone(_u4655)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4656), c_Int_OBit1(c_Int_OPls)))) )).
% 13.06/13.31 cnf(matrix-3097, plain, ( ~class_Int_Onumber__ring(_u4657) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4657), c_Groups_Oone__class_Oone(_u4657)), hAPP(c_Int_Onumber__class_Onumber__of(_u4657), _u4658)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4658))) )).
% 13.06/13.31 cnf(matrix-3098, 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)), _u4659)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4660)), _u4659) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4660), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4659), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3099, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4661, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4662)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4661, 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)))), _u4662))) )).
% 13.06/13.31 cnf(matrix-3100, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4663))), _u4664) = 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)))), _u4663), _u4664)) )).
% 13.06/13.31 cnf(matrix-3101, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4665))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4666)) = 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)))), _u4665), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4666))) )).
% 13.06/13.31 cnf(matrix-3102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4667), 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)))), _u4668)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4667)) = 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), _u4668), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4667))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3103, 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), _u4671))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4673)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4671))) = 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), _u4673), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4671)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3104, 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), _u4672))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4674)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4672))) = 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), _u4674)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4672)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4675), 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)))), _u4676))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4675)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4676), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4675)) )).
% 13.06/13.31 cnf(matrix-3106, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4677)) | ( 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)))), _u4678))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4677)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4678), _u4677)) )).
% 13.06/13.31 cnf(matrix-3107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4679)) | ( 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)))), _u4680)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4679)) = 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, _u4680, _u4679)))) )).
% 13.06/13.31 cnf(matrix-3108, plain, ( ~class_Rings_Osemiring__1(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4682)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4681), 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)))), _u4682))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4681), hAPP(c_Int_Onat, _u4682))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4681), hAPP(c_Int_Onat, _u4682)))) )).
% 13.06/13.31 cnf(matrix-3109, plain, ( ( c_Int_OBit0(_u4685) != c_Int_OBit0(_u4687)) | ( _u4685 = _u4687) )).
% 13.06/13.31 cnf(matrix-3110, plain, ( ( _u4686 != _u4688) | ( c_Int_OBit0(_u4686) = c_Int_OBit0(_u4688)) )).
% 13.06/13.31 cnf(matrix-3111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4691)), c_Int_OBit0(_u4693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4691), _u4693)) )).
% 13.06/13.31 cnf(matrix-3112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4692), _u4694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4692)), c_Int_OBit0(_u4694))) )).
% 13.06/13.31 cnf(matrix-3113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4697)), c_Int_OBit0(_u4699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4697), _u4699)) )).
% 13.06/13.31 cnf(matrix-3114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4698), _u4700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4698)), c_Int_OBit0(_u4700))) )).
% 13.06/13.31 cnf(matrix-3115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4703)), c_Int_OBit0(_u4705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4703), _u4705)) )).
% 13.06/13.31 cnf(matrix-3116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4704), _u4706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4704)), c_Int_OBit0(_u4706))) )).
% 13.06/13.31 cnf(matrix-3117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4709)), c_Int_OBit0(_u4711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4709), _u4711)) )).
% 13.06/13.31 cnf(matrix-3118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4710), _u4712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4710)), c_Int_OBit0(_u4712))) )).
% 13.06/13.31 cnf(matrix-3119, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-3120, plain, ( ( c_Int_OPls != c_Int_OBit0(_u4714)) | ( c_Int_OPls = _u4714) )).
% 13.06/13.31 cnf(matrix-3121, plain, ( ( c_Int_OPls != _u4715) | ( c_Int_OPls = c_Int_OBit0(_u4715)) )).
% 13.06/13.31 cnf(matrix-3122, plain, ( ( c_Int_OBit0(_u4717) != c_Int_OPls) | ( _u4717 = c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-3123, plain, ( ( _u4718 != c_Int_OPls) | ( c_Int_OBit0(_u4718) = c_Int_OPls) )).
% 13.06/13.31 cnf(matrix-3124, plain, ( ( c_Int_OBit0(_u4719) != c_Int_OBit1(_u4720)) )).
% 13.06/13.31 cnf(matrix-3125, plain, ( ( c_Int_OBit1(_u4721) != c_Int_OBit0(_u4722)) )).
% 13.06/13.31 cnf(matrix-3126, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u4723)), c_Int_OBit0(_u4724)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4723), _u4724))) )).
% 13.06/13.31 cnf(matrix-3127, plain, ( ( c_Int_OBit0(_u4725) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4725), _u4725)) )).
% 13.06/13.31 cnf(matrix-3128, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u4726)), _u4727) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4726), _u4727))) )).
% 13.06/13.31 cnf(matrix-3129, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u4728)), c_Int_OBit0(_u4729)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4728), _u4729))) )).
% 13.06/13.31 cnf(matrix-3130, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u4730)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4730))) )).
% 13.06/13.31 cnf(matrix-3131, plain, ( ( c_Int_OMin != c_Int_OBit0(_u4731)) )).
% 13.06/13.31 cnf(matrix-3132, plain, ( ( c_Int_OBit0(_u4732) != c_Int_OMin) )).
% 13.06/13.31 cnf(matrix-3133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4734)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4734), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4735), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4735)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4737)) )).
% 13.06/13.31 cnf(matrix-3136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4738))) )).
% 13.06/13.31 cnf(matrix-3137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4740)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4740), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4741), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4741)), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4744)), c_Int_OBit1(_u4746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4744), _u4746)) )).
% 13.06/13.31 cnf(matrix-3140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4745), _u4747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4745)), c_Int_OBit1(_u4747))) )).
% 13.06/13.31 cnf(matrix-3141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4750)), c_Int_OBit1(_u4752))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4750), _u4752)) )).
% 13.06/13.31 cnf(matrix-3142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4751), _u4753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4751)), c_Int_OBit1(_u4753))) )).
% 13.06/13.31 cnf(matrix-3143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4755)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4755), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4756), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4756)), c_Int_OPls)) )).
% 13.06/13.31 cnf(matrix-3145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4758)) )).
% 13.06/13.31 cnf(matrix-3146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4759))) )).
% 13.06/13.31 cnf(matrix-3147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4762)), c_Int_OBit0(_u4764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4762), _u4764)) )).
% 13.06/13.31 cnf(matrix-3148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4763), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4763)), c_Int_OBit0(_u4765))) )).
% 13.06/13.31 cnf(matrix-3149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4768)), c_Int_OBit0(_u4770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4768), _u4770)) )).
% 13.06/13.31 cnf(matrix-3150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4769), _u4771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4769)), c_Int_OBit0(_u4771))) )).
% 13.06/13.31 cnf(matrix-3151, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u4772)), c_Int_OBit1(_u4773)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4772), _u4773))) )).
% 13.06/13.31 cnf(matrix-3152, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u4774)), c_Int_OBit0(_u4775)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4774), _u4775))) )).
% 13.06/13.31 cnf(matrix-3153, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u4776)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u4776))) )).
% 13.06/13.31 cnf(matrix-3154, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u4777)), c_Int_OBit0(_u4778)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4777), _u4778))) )).
% 13.06/13.31 cnf(matrix-3155, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u4779)), c_Int_OBit1(_u4780)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4779), _u4780))) )).
% 13.06/13.31 cnf(matrix-3156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4782)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4782), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4783), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4783)), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3158, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u4785))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4785)) )).
% 13.06/13.31 cnf(matrix-3159, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u4786))) )).
% 13.06/13.31 cnf(matrix-3160, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4787))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4788))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4788))) )).
% 13.06/13.31 cnf(matrix-3161, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4790)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4790))) )).
% 13.06/13.31 cnf(matrix-3162, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4791))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4791)))) )).
% 13.06/13.31 cnf(matrix-3163, plain, ( ( c_Int_Opred(c_Int_OBit0(_u4792)) = c_Int_OBit1(c_Int_Opred(_u4792))) )).
% 13.06/13.31 cnf(matrix-3164, plain, ( ( c_Int_Opred(c_Int_OBit1(_u4793)) = c_Int_OBit0(_u4793)) )).
% 13.06/13.31 cnf(matrix-3165, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3166, plain, ( ~class_Int_Onumber__ring(_u4794) | ~class_Int_Oring__char__0(_u4794) | ~c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), c_Int_OBit0(_u4795))) | c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), _u4795)) )).
% 13.06/13.31 cnf(matrix-3167, plain, ( ~class_Int_Onumber__ring(_u4794) | ~class_Int_Oring__char__0(_u4794) | ~c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), _u4795)) | c_Int_Oiszero(_u4794, hAPP(c_Int_Onumber__class_Onumber__of(_u4794), c_Int_OBit0(_u4795))) )).
% 13.06/13.31 cnf(matrix-3168, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u4796)) = c_Int_OBit0(c_Int_Osucc(_u4796))) )).
% 13.06/13.31 cnf(matrix-3169, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u4797)) = c_Int_OBit1(_u4797)) )).
% 13.06/13.31 cnf(matrix-3170, plain, ( ~class_Int_Onumber__ring(_u4798) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4798), c_Int_OBit0(_u4799)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4798), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4798), c_Groups_Ozero__class_Ozero(_u4798)), hAPP(c_Int_Onumber__class_Onumber__of(_u4798), _u4799))), hAPP(c_Int_Onumber__class_Onumber__of(_u4798), _u4799))) )).
% 13.06/13.31 cnf(matrix-3171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4802)), c_Int_OBit1(_u4804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4802), _u4804)) )).
% 13.06/13.31 cnf(matrix-3172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4803), _u4805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4803)), c_Int_OBit1(_u4805))) )).
% 13.06/13.31 cnf(matrix-3173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4808)), c_Int_OBit1(_u4810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4808), _u4810)) )).
% 13.06/13.31 cnf(matrix-3174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4809), _u4811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4809)), c_Int_OBit1(_u4811))) )).
% 13.06/13.31 cnf(matrix-3175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4814)), c_Int_OBit0(_u4816))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), _u4816)) )).
% 13.06/13.31 cnf(matrix-3176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4815)), c_Int_OBit0(_u4817))) )).
% 13.06/13.31 cnf(matrix-3177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4820)), c_Int_OBit0(_u4822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4820), _u4822)) )).
% 13.06/13.31 cnf(matrix-3178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4821), _u4823)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4821)), c_Int_OBit0(_u4823))) )).
% 13.06/13.31 cnf(matrix-3179, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u4824)), _u4825) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4824), _u4825))), _u4825)) )).
% 13.06/13.31 cnf(matrix-3180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u4827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4827)) )).
% 13.06/13.31 cnf(matrix-3181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u4828))) )).
% 13.06/13.31 cnf(matrix-3182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4830)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4830), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4831), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u4831)), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3184, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u4832)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4832))) )).
% 13.06/13.31 cnf(matrix-3185, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4833)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4833))) )).
% 13.06/13.31 cnf(matrix-3186, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u4834)), c_Int_OBit1(_u4835)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u4834)), _u4835))) )).
% 13.06/13.31 cnf(matrix-3187, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u4836)), c_Int_OBit1(_u4837)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4836), c_Int_Osucc(_u4837)))) )).
% 13.06/13.31 cnf(matrix-3188, plain, ( ~class_Int_Onumber__ring(_u4838) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4838), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4838), c_Groups_Oone__class_Oone(_u4838)), c_Groups_Oone__class_Oone(_u4838))), hAPP(c_Int_Onumber__class_Onumber__of(_u4838), _u4839)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4838), c_Int_OBit0(_u4839))) )).
% 13.06/13.31 cnf(matrix-3189, 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), _u4840))) | 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(_u4840)))) )).
% 13.06/13.31 cnf(matrix-3190, 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), _u4840))) | 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(_u4840)))) )).
% 13.06/13.31 cnf(matrix-3191, plain, ( ~class_Int_Onumber__ring(_u4841) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4841), _u4842), hAPP(c_Int_Onumber__class_Onumber__of(_u4841), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4841), _u4842), _u4842)) )).
% 13.06/13.31 cnf(matrix-3192, plain, ( ~class_Int_Onumber__ring(_u4843) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4843), hAPP(c_Int_Onumber__class_Onumber__of(_u4843), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4844) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4843), _u4844), _u4844)) )).
% 13.06/13.31 cnf(matrix-3193, plain, ( ~class_Int_Onumber__ring(_u4845) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4845), c_Groups_Oone__class_Oone(_u4845)), c_Groups_Oone__class_Oone(_u4845)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4845), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 13.06/13.31 cnf(matrix-3194, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4846) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4846), _u4847), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u4846)) | ( _u4847 = c_Groups_Ozero__class_Ozero(_u4846)) )).
% 13.06/13.31 cnf(matrix-3195, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4846) | ( _u4847 != c_Groups_Ozero__class_Ozero(_u4846)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4846), _u4847), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u4846)) )).
% 13.06/13.31 cnf(matrix-3196, plain, ( ~class_Rings_Osemiring__1(_u4848) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4848), c_Groups_Ozero__class_Ozero(_u4848)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u4848)) )).
% 13.06/13.31 cnf(matrix-3197, 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)))) )).
% 13.06/13.31 cnf(matrix-3198, 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)))) )).
% 13.06/13.31 cnf(matrix-3199, plain, ( ~class_Rings_Ocomm__semiring__1(_u4849) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4849), _u4850), _u4850) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4849), _u4850), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3200, plain, ( ~class_Groups_Omonoid__mult(_u4851) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4851), _u4852), 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(_u4851), _u4852), _u4852)) )).
% 13.06/13.31 cnf(matrix-3201, 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))))) )).
% 13.06/13.31 cnf(matrix-3202, 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)))), _u4853) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4853))) )).
% 13.06/13.31 cnf(matrix-3203, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4854), 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, _u4854))) )).
% 13.06/13.31 cnf(matrix-3204, plain, ( ~class_Rings_Osemiring__1(_u4855) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4855), c_Groups_Oone__class_Oone(_u4855)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u4855)) )).
% 13.06/13.31 cnf(matrix-3205, plain, ( ~class_Rings_Oring__1(_u4856) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4856), hAPP(c_Groups_Ouminus__class_Ouminus(_u4856), _u4857)), 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(_u4856), _u4857), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3206, 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)))), _u4858) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4858), _u4858)) )).
% 13.06/13.31 cnf(matrix-3207, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4859), 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), _u4859), _u4859)) )).
% 13.06/13.31 cnf(matrix-3208, plain, ( ~class_Groups_Omonoid__mult(_u4860) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4860), _u4861), 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)))), _u4862)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4860), hAPP(hAPP(c_Power_Opower__class_Opower(_u4860), _u4861), _u4862)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3209, 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))))) )).
% 13.06/13.31 cnf(matrix-3210, 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))))) )).
% 13.06/13.31 cnf(matrix-3211, plain, ( ~class_Rings_Olinordered__idom(_u4863) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4863), hAPP(hAPP(c_Power_Opower__class_Opower(_u4863), _u4864), 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(_u4863), _u4864), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3212, plain, ( ~class_Rings_Olinordered__idom(_u4865) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4865), hAPP(c_Groups_Oabs__class_Oabs(_u4865), _u4866)), 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(_u4865), _u4866), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3213, 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)))) )).
% 13.06/13.31 cnf(matrix-3214, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4867)), 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, _u4867, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 13.06/13.31 cnf(matrix-3215, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4868))), 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), _u4868), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3216, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4869)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4870))) = hAPP(hAPP(c_Groups_Otimes__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), _u4869), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4870)))) )).
% 13.06/13.31 cnf(matrix-3217, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4871), _u4871)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u4871) )).
% 13.06/13.31 cnf(matrix-3218, plain, ( ~class_Rings_Olinordered__semidom(_u4872) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4872), _u4873), 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(_u4872), _u4874), 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(_u4872), c_Groups_Ozero__class_Ozero(_u4872)), _u4873)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4872), c_Groups_Ozero__class_Ozero(_u4872)), _u4874)) | ( _u4873 = _u4874) )).
% 13.06/13.31 cnf(matrix-3219, plain, ( ~class_Rings_Olinordered__semidom(_u4875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4875), hAPP(hAPP(c_Power_Opower__class_Opower(_u4875), _u4876), 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(_u4875), _u4877), 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(_u4875), c_Groups_Ozero__class_Ozero(_u4875)), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4875), _u4876), _u4877)) )).
% 13.06/13.31 cnf(matrix-3220, plain, ( ~class_Rings_Olinordered__idom(_u4878) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4878), c_Groups_Ozero__class_Ozero(_u4878)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4878), _u4879), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3221, plain, ( ~class_Rings_Olinordered__idom(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Ozero__class_Ozero(_u4880)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4880), _u4881), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u4881 != c_Groups_Ozero__class_Ozero(_u4880)) )).
% 13.06/13.31 cnf(matrix-3222, plain, ( ~class_Rings_Olinordered__idom(_u4880) | ( _u4881 = c_Groups_Ozero__class_Ozero(_u4880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), c_Groups_Ozero__class_Ozero(_u4880)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4880), _u4881), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3223, plain, ( ~class_Rings_Olinordered__idom(_u4882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4882), hAPP(hAPP(c_Power_Opower__class_Opower(_u4882), _u4883), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u4882))) )).
% 13.06/13.31 cnf(matrix-3224, plain, ( ~class_Rings_Olinordered__idom(_u4884) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(hAPP(c_Power_Opower__class_Opower(_u4884), _u4885), 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(_u4884), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u4884)) | ( _u4885 = c_Groups_Ozero__class_Ozero(_u4884)) )).
% 13.06/13.31 cnf(matrix-3225, plain, ( ~class_Rings_Olinordered__idom(_u4884) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(hAPP(c_Power_Opower__class_Opower(_u4884), _u4885), 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(_u4884), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u4884)) | ( _u4886 = c_Groups_Ozero__class_Ozero(_u4884)) )).
% 13.06/13.31 cnf(matrix-3226, plain, ( ~class_Rings_Olinordered__idom(_u4884) | ( _u4885 != c_Groups_Ozero__class_Ozero(_u4884)) | ( _u4886 != c_Groups_Ozero__class_Ozero(_u4884)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4884), hAPP(hAPP(c_Power_Opower__class_Opower(_u4884), _u4885), 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(_u4884), _u4886), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u4884)) )).
% 13.06/13.31 cnf(matrix-3227, plain, ( ~class_Groups_Omonoid__mult(_u4887) | ~class_Int_Onumber(_u4887) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4887), hAPP(c_Int_Onumber__class_Onumber__of(_u4887), _u4888)), 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(_u4887), hAPP(c_Int_Onumber__class_Onumber__of(_u4887), _u4888)), hAPP(c_Int_Onumber__class_Onumber__of(_u4887), _u4888))) )).
% 13.06/13.31 cnf(matrix-3228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4889), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u4889 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4889 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-3229, 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)))) )).
% 13.06/13.31 cnf(matrix-3230, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4890) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4890), _u4891), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 = c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4890), c_Groups_Oone__class_Oone(_u4890))) )).
% 13.06/13.31 cnf(matrix-3231, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4890) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4890), _u4891), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 != c_Groups_Oone__class_Oone(_u4890)) )).
% 13.06/13.31 cnf(matrix-3232, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4890) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4890), _u4891), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u4890)) | ( _u4891 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4890), c_Groups_Oone__class_Oone(_u4890))) )).
% 13.06/13.31 cnf(matrix-3233, plain, ( ~class_Rings_Ocomm__semiring__1(_u4892) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4892), _u4893), 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)))), _u4894)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4892), hAPP(hAPP(c_Power_Opower__class_Opower(_u4892), _u4893), _u4894)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4892), _u4893), _u4894))) )).
% 13.06/13.31 cnf(matrix-3234, plain, ( ~class_Rings_Oring__1(_u4895) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4895), hAPP(c_Groups_Ouminus__class_Ouminus(_u4895), _u4896)), 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)))), _u4897)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4895), _u4896), 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)))), _u4897))) )).
% 13.06/13.31 cnf(matrix-3235, plain, ( ~class_Rings_Olinordered__semidom(_u4898) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), hAPP(hAPP(c_Power_Opower__class_Opower(_u4898), _u4899), 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(_u4898), _u4900), 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(_u4898), c_Groups_Ozero__class_Ozero(_u4898)), _u4900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), _u4899), _u4900)) )).
% 13.06/13.31 cnf(matrix-3236, plain, ( ~class_Rings_Olinordered__idom(_u4901) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4901), c_Groups_Ozero__class_Ozero(_u4901)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4901), hAPP(hAPP(c_Power_Opower__class_Opower(_u4901), _u4902), 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(_u4901), _u4903), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 13.06/13.31 cnf(matrix-3237, plain, ( ~class_Rings_Olinordered__idom(_u4904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4904), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4904), hAPP(hAPP(c_Power_Opower__class_Opower(_u4904), _u4905), 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(_u4904), _u4906), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4904))) | ( _u4905 = c_Groups_Ozero__class_Ozero(_u4904)) )).
% 13.06/13.31 cnf(matrix-3238, plain, ( ~class_Rings_Olinordered__idom(_u4904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4904), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4904), hAPP(hAPP(c_Power_Opower__class_Opower(_u4904), _u4905), 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(_u4904), _u4906), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4904))) | ( _u4906 = c_Groups_Ozero__class_Ozero(_u4904)) )).
% 13.06/13.31 cnf(matrix-3239, plain, ( ~class_Rings_Olinordered__idom(_u4904) | ( _u4905 != c_Groups_Ozero__class_Ozero(_u4904)) | ( _u4906 != c_Groups_Ozero__class_Ozero(_u4904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4904), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4904), hAPP(hAPP(c_Power_Opower__class_Opower(_u4904), _u4905), 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(_u4904), _u4906), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4904))) )).
% 13.06/13.31 cnf(matrix-3240, plain, ( ~class_Rings_Olinordered__idom(_u4907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4907), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4907), hAPP(hAPP(c_Power_Opower__class_Opower(_u4907), _u4908), 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(_u4907), _u4909), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u4907))) )).
% 13.06/13.31 cnf(matrix-3241, plain, ( ~class_Rings_Olinordered__idom(_u4910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4910), c_Groups_Ozero__class_Ozero(_u4910)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(hAPP(c_Power_Opower__class_Opower(_u4910), _u4911), 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(_u4910), _u4912), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u4911 != c_Groups_Ozero__class_Ozero(_u4910)) | ( _u4912 != c_Groups_Ozero__class_Ozero(_u4910)) )).
% 13.06/13.31 cnf(matrix-3242, plain, ( ~class_Rings_Olinordered__idom(_u4910) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4910), c_Groups_Ozero__class_Ozero(_u4910)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(hAPP(c_Power_Opower__class_Opower(_u4910), _u4911), 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(_u4910), _u4912), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u4911 = c_Groups_Ozero__class_Ozero(_u4910)) )).
% 13.06/13.31 cnf(matrix-3243, plain, ( ~class_Rings_Olinordered__idom(_u4910) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4910), c_Groups_Ozero__class_Ozero(_u4910)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4910), hAPP(hAPP(c_Power_Opower__class_Opower(_u4910), _u4911), 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(_u4910), _u4912), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u4912 = c_Groups_Ozero__class_Ozero(_u4910)) )).
% 13.06/13.31 cnf(matrix-3244, plain, ( ~class_Int_Onumber__ring(_u4913) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4913), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4913), _u4914), _u4915)), 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(_u4913), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4913), hAPP(hAPP(c_Power_Opower__class_Opower(_u4913), _u4914), 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(_u4913), _u4915), 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(_u4913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4913), hAPP(c_Int_Onumber__class_Onumber__of(_u4913), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4914)), _u4915))) )).
% 13.06/13.31 cnf(matrix-3245, plain, ( ~class_Rings_Olinordered__idom(_u4916) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), c_Groups_Ozero__class_Ozero(_u4916)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4916), _u4917), 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)))), _u4918)))) )).
% 13.06/13.31 cnf(matrix-3246, plain, ( ~class_Rings_Ocomm__semiring__1(_u4919) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4919), _u4920), 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)))), _u4921))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), _u4920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), hAPP(hAPP(c_Power_Opower__class_Opower(_u4919), _u4920), _u4921)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4919), _u4920), _u4921)))) )).
% 13.06/13.31 cnf(matrix-3247, plain, ( ~class_Groups_Omonoid__mult(_u4922) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4922), _u4923), 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)))), _u4924))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4922), _u4923), hAPP(hAPP(c_Power_Opower__class_Opower(_u4922), hAPP(hAPP(c_Power_Opower__class_Opower(_u4922), _u4923), _u4924)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3248, plain, ( ~class_Rings_Oring__1(_u4925) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4925), hAPP(c_Groups_Ouminus__class_Ouminus(_u4925), c_Groups_Oone__class_Oone(_u4925))), 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)))), _u4926)) = c_Groups_Oone__class_Oone(_u4925)) )).
% 13.06/13.31 cnf(matrix-3249, 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), _u4929))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4931))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4929))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4931)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4929))) )).
% 13.06/13.31 cnf(matrix-3250, 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), _u4930))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4932))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4930))) = 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), _u4932)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4930))) )).
% 13.06/13.31 cnf(matrix-3251, 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, _u4934, 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, _u4934, 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)) )).
% 13.06/13.31 cnf(matrix-3252, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4935, 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, _u4935, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4936)) | 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), _u4936), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3254, plain, ( ~class_Int_Onumber__ring(_u4937) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4937), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4937), _u4938), _u4939)), 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(_u4937), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4937), hAPP(hAPP(c_Power_Opower__class_Opower(_u4937), _u4938), 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(_u4937), _u4939), 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(_u4937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4937), hAPP(c_Int_Onumber__class_Onumber__of(_u4937), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u4938)), _u4939))) )).
% 13.06/13.31 cnf(matrix-3255, plain, ( ~class_Rings_Olinordered__idom(_u4940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4940), c_Groups_Ozero__class_Ozero(_u4940)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4940), _u4941), 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)))), _u4942))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4940), c_Groups_Ozero__class_Ozero(_u4940)), _u4941)) )).
% 13.06/13.31 cnf(matrix-3256, plain, ( ~class_Rings_Olinordered__idom(_u4943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4943), _u4944), c_Groups_Ozero__class_Ozero(_u4943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4943), hAPP(hAPP(c_Power_Opower__class_Opower(_u4943), _u4944), 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)))), _u4945)))), c_Groups_Ozero__class_Ozero(_u4943))) )).
% 13.06/13.31 cnf(matrix-3257, plain, ( ~class_Rings_Oring__1(_u4946) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4946), hAPP(c_Groups_Ouminus__class_Ouminus(_u4946), c_Groups_Oone__class_Oone(_u4946))), 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)))), _u4947))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4946), c_Groups_Oone__class_Oone(_u4946))) )).
% 13.06/13.31 cnf(matrix-3258, plain, ( ~class_Int_Onumber__ring(_u4948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4948), hAPP(c_Int_Onumber__class_Onumber__of(_u4948), 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)))), _u4949)) = c_Groups_Oone__class_Oone(_u4948)) )).
% 13.06/13.31 cnf(matrix-3259, plain, ( ~class_Int_Onumber__ring(_u4950) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4950), hAPP(c_Int_Onumber__class_Onumber__of(_u4950), 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)))), _u4951))) = hAPP(c_Int_Onumber__class_Onumber__of(_u4950), c_Int_OMin)) )).
% 13.06/13.31 cnf(matrix-3260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4952)) | 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), _u4952), 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)))))) )).
% 13.06/13.31 cnf(matrix-3261, plain, ( ( _u4954 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u4954) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3262, plain, ( ( _u4955 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u4955, 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, _u4955) = hAPP(hAPP(c_Groups_Otimes__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), _u4955), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 13.06/13.31 cnf(matrix-3263, plain, ( ( _u4955 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u4955, 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, _u4955) = 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), _u4955), 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))) )).
% 13.06/13.31 cnf(matrix-3264, 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))) )).
% 13.06/13.31 cnf(matrix-3265, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4956) | ~class_Int_Onumber__ring(_u4956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4956), _u4957), hAPP(c_Int_Onumber__class_Onumber__of(_u4956), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), _u4957)) )).
% 13.06/13.31 cnf(matrix-3266, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4956) | ~class_Int_Onumber__ring(_u4956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), _u4957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4956), c_Groups_Ozero__class_Ozero(_u4956)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4956), _u4957), hAPP(c_Int_Onumber__class_Onumber__of(_u4956), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3267, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4958) | ~class_Int_Onumber__ring(_u4958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4958), c_Groups_Ozero__class_Ozero(_u4958)), _u4959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4958), c_Groups_Ozero__class_Ozero(_u4958)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4958), _u4959), hAPP(c_Int_Onumber__class_Onumber__of(_u4958), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3268, 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)))) )).
% 13.06/13.31 cnf(matrix-3269, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem83(_u4965, _u4964, _u4963, _u4962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem84(_u4965, _u4964, _u4963, _u4962))) )).
% 13.06/13.31 cnf(matrix-3270, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem83(_u4965, _u4964, _u4963, _u4962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem84(_u4965, _u4964, _u4963, _u4962)), _u4963)) )).
% 13.06/13.31 cnf(matrix-3271, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem83(_u4965, _u4964, _u4963, _u4962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | ( hAPP(_u4964, skolem84(_u4965, _u4964, _u4963, _u4962)) = _u4965) )).
% 13.06/13.31 cnf(matrix-3272, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem84(_u4965, _u4964, _u4963, _u4962))) )).
% 13.06/13.31 cnf(matrix-3273, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem84(_u4965, _u4964, _u4963, _u4962)), _u4963)) )).
% 13.06/13.31 cnf(matrix-3274, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | ( hAPP(_u4964, skolem84(_u4965, _u4964, _u4963, _u4962)) = _u4965) )).
% 13.06/13.31 cnf(matrix-3275, 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(_u4964, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4964, skolem83(_u4965, _u4964, _u4963, _u4962))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4962), skolem84(_u4965, _u4964, _u4963, _u4962))) )).
% 13.06/13.31 cnf(matrix-3276, 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(_u4964, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4964, skolem83(_u4965, _u4964, _u4963, _u4962))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem84(_u4965, _u4964, _u4963, _u4962)), _u4963)) )).
% 13.06/13.31 cnf(matrix-3277, 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(_u4964, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem83(_u4965, _u4964, _u4963, _u4962)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4964, skolem83(_u4965, _u4964, _u4963, _u4962))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4962), _u4963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4964, _u4962)), _u4965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4965), hAPP(_u4964, _u4963))) | ( hAPP(_u4964, skolem84(_u4965, _u4964, _u4963, _u4962)) = _u4965) )).
% 13.06/13.31 cnf(matrix-3278, 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)) )).
% 13.06/13.31 cnf(matrix-3279, plain, ( ~class_Rings_Odivision__ring(_u4966) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4966), c_Groups_Ozero__class_Ozero(_u4966)), _u4967) = c_Groups_Ozero__class_Ozero(_u4966)) )).
% 13.06/13.31 cnf(matrix-3280, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u4968) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4968), _u4969), c_Groups_Ozero__class_Ozero(_u4968)) = c_Groups_Ozero__class_Ozero(_u4968)) )).
% 13.06/13.31 cnf(matrix-3281, plain, ( ~class_Rings_Odivision__ring(_u4970) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4970), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4970), _u4971), _u4972)), _u4973) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4970), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4970), _u4971), _u4973)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4970), _u4972), _u4973))) )).
% 13.06/13.31 cnf(matrix-3282, plain, ( ~class_Rings_Odivision__ring(_u4974) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4974), _u4975), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4974), _u4976), _u4977)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4974), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4974), _u4975), _u4976)), _u4977)) )).
% 13.06/13.31 cnf(matrix-3283, plain, ( ~class_Fields_Ofield__inverse__zero(_u4978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4978), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4978), _u4979), _u4980)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4978), _u4981), _u4982)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4978), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4978), _u4979), _u4981)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4978), _u4980), _u4982))) )).
% 13.06/13.31 cnf(matrix-3284, plain, ( ~class_Rings_Odivision__ring(_u4983) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4983), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4983), _u4984), _u4985)), _u4986) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4983), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4983), _u4984), _u4986)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4983), _u4985), _u4986))) )).
% 13.06/13.31 cnf(matrix-3285, plain, ( ~class_Rings_Odivision__ring(_u4987) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4987), _u4988), c_Groups_Oone__class_Oone(_u4987)) = _u4988) )).
% 13.06/13.31 cnf(matrix-3286, plain, ( ~class_Rings_Odivision__ring(_u4989) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4989), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4989), _u4990), _u4991)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4989), hAPP(c_Groups_Ouminus__class_Ouminus(_u4989), _u4990)), _u4991)) )).
% 13.06/13.31 cnf(matrix-3287, plain, ( ~class_Fields_Ofield__inverse__zero(_u4992) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4992), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4992), _u4993), _u4994)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4992), _u4993), hAPP(c_Groups_Ouminus__class_Ouminus(_u4992), _u4994))) )).
% 13.06/13.31 cnf(matrix-3288, plain, ( ~class_Fields_Ofield__inverse__zero(_u4995) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4995), hAPP(c_Groups_Ouminus__class_Ouminus(_u4995), _u4996)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4995), _u4997)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4995), _u4996), _u4997)) )).
% 13.06/13.31 cnf(matrix-3289, plain, ( ~class_Fields_Ofield__inverse__zero(_u4998) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4998), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4998), _u4999), _u5000)), _u5001) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4998), hAPP(hAPP(c_Power_Opower__class_Opower(_u4998), _u4999), _u5001)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4998), _u5000), _u5001))) )).
% 13.06/13.31 cnf(matrix-3290, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5002) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5002), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5002), _u5003), _u5004)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5002), hAPP(c_Groups_Oabs__class_Oabs(_u5002), _u5003)), hAPP(c_Groups_Oabs__class_Oabs(_u5002), _u5004))) )).
% 13.06/13.31 cnf(matrix-3291, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3292, plain, ( ~c_Nat__Transfer_Ois__nat(_u5005) | ~c_Nat__Transfer_Ois__nat(_u5006) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5005), _u5006)) )).
% 13.06/13.31 cnf(matrix-3293, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5007)) )).
% 13.06/13.31 cnf(matrix-3294, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3295, plain, ( ~c_Nat__Transfer_Ois__nat(_u5008) | ~c_Nat__Transfer_Ois__nat(_u5009) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5008), _u5009)) )).
% 13.06/13.31 cnf(matrix-3296, plain, ( ~c_Nat__Transfer_Ois__nat(_u5010) | ~c_Nat__Transfer_Ois__nat(_u5011) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5010, _u5011)) )).
% 13.06/13.31 cnf(matrix-3297, plain, ( ~c_Nat__Transfer_Ois__nat(_u5012) | ~c_Nat__Transfer_Ois__nat(_u5013) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5012), _u5013)) )).
% 13.06/13.31 cnf(matrix-3298, plain, ( ~c_Nat__Transfer_Ois__nat(_u5014) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5014), _u5015)) )).
% 13.06/13.31 cnf(matrix-3299, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5016), _u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5016), _u5019), c_Groups_Ozero__class_Ozero(_u5016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5016), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5016), _u5018), _u5019)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5016), _u5017), _u5019))) )).
% 13.06/13.31 cnf(matrix-3300, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5020), _u5021), _u5022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5020), c_Groups_Ozero__class_Ozero(_u5020)), _u5023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5020), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5020), _u5021), _u5023)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5020), _u5022), _u5023))) )).
% 13.06/13.31 cnf(matrix-3301, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5025), c_Groups_Ozero__class_Ozero(_u5024))) )).
% 13.06/13.31 cnf(matrix-3302, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5026)) )).
% 13.06/13.31 cnf(matrix-3303, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5026), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5025), c_Groups_Ozero__class_Ozero(_u5024))) )).
% 13.06/13.31 cnf(matrix-3304, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5026), c_Groups_Ozero__class_Ozero(_u5024))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5026)) )).
% 13.06/13.31 cnf(matrix-3305, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5026), c_Groups_Ozero__class_Ozero(_u5024))) )).
% 13.06/13.31 cnf(matrix-3306, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5024) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5024), _u5025), _u5026)), c_Groups_Ozero__class_Ozero(_u5024))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), _u5025), c_Groups_Ozero__class_Ozero(_u5024))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5024), c_Groups_Ozero__class_Ozero(_u5024)), _u5026)) )).
% 13.06/13.31 cnf(matrix-3307, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5028), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.06/13.31 cnf(matrix-3308, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5029), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.06/13.31 cnf(matrix-3309, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5028), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.06/13.31 cnf(matrix-3310, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5029), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.06/13.31 cnf(matrix-3311, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), _u5029)) )).
% 13.06/13.31 cnf(matrix-3312, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5027) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), c_Groups_Ozero__class_Ozero(_u5027)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5027), _u5028), _u5029))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5028), c_Groups_Ozero__class_Ozero(_u5027))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5027), _u5029), c_Groups_Ozero__class_Ozero(_u5027))) )).
% 13.06/13.31 cnf(matrix-3313, plain, ( ~class_Fields_Olinordered__field(_u5030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5030), _u5031), _u5032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5030), _u5033), c_Groups_Ozero__class_Ozero(_u5030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5030), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5030), _u5032), _u5033)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5030), _u5031), _u5033))) )).
% 13.06/13.31 cnf(matrix-3314, plain, ( ~class_Fields_Olinordered__field(_u5034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5034), _u5035), _u5036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5034), c_Groups_Ozero__class_Ozero(_u5034)), _u5037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5034), _u5035), _u5037)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5034), _u5036), _u5037))) )).
% 13.06/13.31 cnf(matrix-3315, plain, ( ~class_Fields_Olinordered__field(_u5038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5038), _u5039), c_Groups_Ozero__class_Ozero(_u5038))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5038), _u5040), c_Groups_Ozero__class_Ozero(_u5038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5038), c_Groups_Ozero__class_Ozero(_u5038)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5038), _u5039), _u5040))) )).
% 13.06/13.31 cnf(matrix-3316, plain, ( ~class_Fields_Olinordered__field(_u5041) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5041), _u5042), c_Groups_Ozero__class_Ozero(_u5041))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5041), c_Groups_Ozero__class_Ozero(_u5041)), _u5043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5041), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5041), _u5042), _u5043)), c_Groups_Ozero__class_Ozero(_u5041))) )).
% 13.06/13.31 cnf(matrix-3317, plain, ( ~class_Fields_Olinordered__field(_u5044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5044), c_Groups_Ozero__class_Ozero(_u5044)), _u5045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5044), _u5046), c_Groups_Ozero__class_Ozero(_u5044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5044), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5044), _u5045), _u5046)), c_Groups_Ozero__class_Ozero(_u5044))) )).
% 13.06/13.31 cnf(matrix-3318, plain, ( ~class_Fields_Olinordered__field(_u5047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), c_Groups_Ozero__class_Ozero(_u5047)), _u5048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), c_Groups_Ozero__class_Ozero(_u5047)), _u5049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), c_Groups_Ozero__class_Ozero(_u5047)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5047), _u5048), _u5049))) )).
% 13.06/13.31 cnf(matrix-3319, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5051), c_Groups_Ozero__class_Ozero(_u5050))) )).
% 13.06/13.31 cnf(matrix-3320, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5052)) )).
% 13.06/13.31 cnf(matrix-3321, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5052), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5051), c_Groups_Ozero__class_Ozero(_u5050))) )).
% 13.06/13.31 cnf(matrix-3322, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5052), c_Groups_Ozero__class_Ozero(_u5050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5052)) )).
% 13.06/13.31 cnf(matrix-3323, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5052), c_Groups_Ozero__class_Ozero(_u5050))) )).
% 13.06/13.31 cnf(matrix-3324, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5050), _u5051), _u5052)), c_Groups_Ozero__class_Ozero(_u5050))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), _u5051), c_Groups_Ozero__class_Ozero(_u5050))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), c_Groups_Ozero__class_Ozero(_u5050)), _u5052)) )).
% 13.06/13.31 cnf(matrix-3325, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5054), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.06/13.31 cnf(matrix-3326, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5055), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.06/13.31 cnf(matrix-3327, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5054), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.06/13.31 cnf(matrix-3328, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5055), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.06/13.31 cnf(matrix-3329, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), _u5055)) )).
% 13.06/13.31 cnf(matrix-3330, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5053) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), c_Groups_Ozero__class_Ozero(_u5053)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5053), _u5054), _u5055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5054), c_Groups_Ozero__class_Ozero(_u5053))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), _u5055), c_Groups_Ozero__class_Ozero(_u5053))) )).
% 13.06/13.31 cnf(matrix-3331, plain, ( ~class_Rings_Odivision__ring(_u5056) | ( _u5057 = c_Groups_Ozero__class_Ozero(_u5056)) | ( _u5058 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5056), _u5059), _u5057)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5056), _u5058), _u5057) = _u5059) )).
% 13.06/13.31 cnf(matrix-3332, plain, ( ~class_Rings_Odivision__ring(_u5056) | ( _u5057 = c_Groups_Ozero__class_Ozero(_u5056)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5056), _u5058), _u5057) != _u5059) | ( _u5058 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5056), _u5059), _u5057)) )).
% 13.06/13.31 cnf(matrix-3333, plain, ( ~class_Rings_Odivision__ring(_u5060) | ( _u5061 = c_Groups_Ozero__class_Ozero(_u5060)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5060), _u5062), _u5061) != _u5063) | ( _u5062 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5060), _u5063), _u5061)) )).
% 13.06/13.31 cnf(matrix-3334, plain, ( ~class_Rings_Odivision__ring(_u5060) | ( _u5061 = c_Groups_Ozero__class_Ozero(_u5060)) | ( _u5062 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5060), _u5063), _u5061)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5060), _u5062), _u5061) = _u5063) )).
% 13.06/13.31 cnf(matrix-3335, plain, ( ~class_Rings_Odivision__ring(_u5064) | ( _u5065 = c_Groups_Ozero__class_Ozero(_u5064)) | ( _u5066 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5064), _u5067), _u5065)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5064), _u5066), _u5065) = _u5067) )).
% 13.06/13.31 cnf(matrix-3336, plain, ( ~class_Rings_Odivision__ring(_u5068) | ( _u5069 = c_Groups_Ozero__class_Ozero(_u5068)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5068), _u5070), _u5069) != _u5071) | ( _u5070 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5068), _u5071), _u5069)) )).
% 13.06/13.31 cnf(matrix-3337, plain, ( ~class_Fields_Ofield(_u5072) | ( _u5073 = c_Groups_Ozero__class_Ozero(_u5072)) | ( _u5074 = c_Groups_Ozero__class_Ozero(_u5072)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5075), _u5073) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5076), _u5074)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5075), _u5074) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5076), _u5073)) )).
% 13.06/13.31 cnf(matrix-3338, plain, ( ~class_Fields_Ofield(_u5072) | ( _u5073 = c_Groups_Ozero__class_Ozero(_u5072)) | ( _u5074 = c_Groups_Ozero__class_Ozero(_u5072)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5075), _u5074) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5072), _u5076), _u5073)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5075), _u5073) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5072), _u5076), _u5074)) )).
% 13.06/13.31 cnf(matrix-3339, plain, ( ~class_Fields_Ofield__inverse__zero(_u5077) | ( _u5078 = c_Groups_Ozero__class_Ozero(_u5077)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5077), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5077), _u5078), _u5079)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5077), _u5078), _u5080)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5077), _u5079), _u5080)) )).
% 13.06/13.31 cnf(matrix-3340, plain, ( ~class_Fields_Ofield__inverse__zero(_u5081) | ( _u5082 = c_Groups_Ozero__class_Ozero(_u5081)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5081), _u5083), _u5082)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5081), _u5084), _u5082)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5081), _u5083), _u5084)) )).
% 13.06/13.31 cnf(matrix-3341, plain, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) != _u5088) | ( _u5087 = c_Groups_Ozero__class_Ozero(_u5085)) | ( _u5086 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5085), _u5088), _u5087)) )).
% 13.06/13.31 cnf(matrix-3342, plain, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) != _u5088) | ( _u5087 != c_Groups_Ozero__class_Ozero(_u5085)) | ( _u5088 = c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.06/13.31 cnf(matrix-3343, plain, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) = _u5088) | ( _u5087 != c_Groups_Ozero__class_Ozero(_u5085)) | ( _u5088 != c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.06/13.31 cnf(matrix-3344, plain, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) = _u5088) | ( _u5086 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5085), _u5088), _u5087)) | ( _u5087 = c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.06/13.31 cnf(matrix-3345, plain, ( ~class_Fields_Ofield__inverse__zero(_u5085) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5085), _u5086), _u5087) = _u5088) | ( _u5086 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5085), _u5088), _u5087)) | ( _u5088 != c_Groups_Ozero__class_Ozero(_u5085)) )).
% 13.06/13.31 cnf(matrix-3346, plain, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( _u5092 = c_Groups_Ozero__class_Ozero(_u5089)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5089), _u5090), _u5092) = _u5091) )).
% 13.06/13.31 cnf(matrix-3347, plain, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( _u5092 != c_Groups_Ozero__class_Ozero(_u5089)) | ( _u5090 = c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.06/13.31 cnf(matrix-3348, plain, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( _u5092 != c_Groups_Ozero__class_Ozero(_u5089)) | ( _u5090 != c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.06/13.31 cnf(matrix-3349, plain, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5089), _u5090), _u5092) != _u5091) | ( _u5092 = c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.06/13.31 cnf(matrix-3350, plain, ( ~class_Fields_Ofield__inverse__zero(_u5089) | ( _u5090 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5089), _u5091), _u5092)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5089), _u5090), _u5092) != _u5091) | ( _u5090 != c_Groups_Ozero__class_Ozero(_u5089)) )).
% 13.06/13.31 cnf(matrix-3351, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5093) | ( _u5094 != c_Groups_Ozero__class_Ozero(_u5093)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5093), _u5094), _u5094) = c_Groups_Ozero__class_Ozero(_u5093)) )).
% 13.06/13.31 cnf(matrix-3352, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5093) | ( _u5094 = c_Groups_Ozero__class_Ozero(_u5093)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5093), _u5094), _u5094) = c_Groups_Oone__class_Oone(_u5093)) )).
% 13.06/13.31 cnf(matrix-3353, plain, ( ~class_Rings_Odivision__ring(_u5095) | ( _u5096 = c_Groups_Ozero__class_Ozero(_u5095)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5095), _u5096), _u5096) = c_Groups_Oone__class_Oone(_u5095)) )).
% 13.06/13.31 cnf(matrix-3354, plain, ( ~class_Rings_Odivision__ring(_u5097) | ( _u5098 = c_Groups_Ozero__class_Ozero(_u5097)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5097), _u5099), _u5098) != c_Groups_Oone__class_Oone(_u5097)) | ( _u5099 = _u5098) )).
% 13.06/13.31 cnf(matrix-3355, plain, ( ~class_Rings_Odivision__ring(_u5097) | ( _u5098 = c_Groups_Ozero__class_Ozero(_u5097)) | ( _u5099 != _u5098) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5097), _u5099), _u5098) = c_Groups_Oone__class_Oone(_u5097)) )).
% 13.06/13.31 cnf(matrix-3356, plain, ( ~class_Rings_Odivision__ring(_u5100) | ( _u5101 = c_Groups_Ozero__class_Ozero(_u5100)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5100), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5100), _u5102), _u5101)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5100), _u5102), hAPP(c_Groups_Ouminus__class_Ouminus(_u5100), _u5101))) )).
% 13.06/13.31 cnf(matrix-3357, plain, ( ~class_Rings_Odivision__ring(_u5103) | ( _u5104 = c_Groups_Ozero__class_Ozero(_u5103)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5103), hAPP(c_Groups_Ouminus__class_Ouminus(_u5103), _u5105)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5103), _u5104)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5103), _u5105), _u5104)) )).
% 13.06/13.31 cnf(matrix-3358, plain, ( ~class_Fields_Ofield(_u5106) | ( _u5107 = c_Groups_Ozero__class_Ozero(_u5106)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5106), _u5108), _u5107)), _u5109) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5106), hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), _u5108), _u5109)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5106), _u5107), _u5109))) )).
% 13.06/13.31 cnf(matrix-3359, plain, ( ~class_Fields_Olinordered__field(_u5110) | ( _u5111 = c_Groups_Ozero__class_Ozero(_u5110)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5110), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5110), _u5112), _u5111)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5110), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5112)), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5111))) )).
% 13.06/13.31 cnf(matrix-3360, plain, ( ~class_Fields_Ofield__inverse__zero(_u5113) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5113), c_Groups_Oone__class_Oone(_u5113)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), _u5114), _u5115)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5113), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5113), c_Groups_Oone__class_Oone(_u5113)), _u5114)), _u5115)) )).
% 13.06/13.31 cnf(matrix-3361, plain, ( ~c_Nat__Transfer_Ois__nat(_u5116) | ~c_Nat__Transfer_Ois__nat(_u5117) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5116, _u5117)) )).
% 13.06/13.31 cnf(matrix-3362, plain, ( ~class_Fields_Olinordered__field(_u5118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5118), _u5119), c_Groups_Ozero__class_Ozero(_u5118))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5118), _u5120), c_Groups_Ozero__class_Ozero(_u5118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5118), c_Groups_Ozero__class_Ozero(_u5118)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5118), _u5119), _u5120))) )).
% 13.06/13.31 cnf(matrix-3363, plain, ( ~class_Fields_Olinordered__field(_u5121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5121), _u5122), c_Groups_Ozero__class_Ozero(_u5121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5121), c_Groups_Ozero__class_Ozero(_u5121)), _u5123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5121), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5121), _u5122), _u5123)), c_Groups_Ozero__class_Ozero(_u5121))) )).
% 13.06/13.31 cnf(matrix-3364, plain, ( ~class_Fields_Olinordered__field(_u5124) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), c_Groups_Ozero__class_Ozero(_u5124)), _u5125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), _u5125), _u5126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5124), c_Groups_Ozero__class_Ozero(_u5124)), _u5127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), _u5127), _u5128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5124), _u5125), _u5128)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5124), _u5126), _u5127))) )).
% 13.06/13.31 cnf(matrix-3365, plain, ( ~class_Fields_Olinordered__field(_u5129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5129), c_Groups_Ozero__class_Ozero(_u5129)), _u5130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5129), _u5130), _u5131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5129), c_Groups_Ozero__class_Ozero(_u5129)), _u5132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5129), _u5132), _u5133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5129), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5129), _u5130), _u5133)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5129), _u5131), _u5132))) )).
% 13.06/13.31 cnf(matrix-3366, plain, ( ~class_Fields_Olinordered__field(_u5134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), c_Groups_Ozero__class_Ozero(_u5134)), _u5135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), _u5135), _u5136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), c_Groups_Ozero__class_Ozero(_u5134)), _u5137)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), _u5137), _u5138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5134), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5134), _u5135), _u5138)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5134), _u5136), _u5137))) )).
% 13.06/13.31 cnf(matrix-3367, plain, ( ~class_Fields_Olinordered__field(_u5139) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5139), c_Groups_Ozero__class_Ozero(_u5139)), _u5140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5139), _u5141), c_Groups_Ozero__class_Ozero(_u5139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5139), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5139), _u5140), _u5141)), c_Groups_Ozero__class_Ozero(_u5139))) )).
% 13.06/13.31 cnf(matrix-3368, plain, ( ~class_Fields_Olinordered__field(_u5142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), _u5143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), _u5144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5142), c_Groups_Ozero__class_Ozero(_u5142)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5142), _u5143), _u5144))) )).
% 13.06/13.31 cnf(matrix-3369, plain, ( ~class_Fields_Olinordered__field(_u5145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), _u5146), _u5147)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), _u5148), c_Groups_Ozero__class_Ozero(_u5145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), c_Groups_Ozero__class_Ozero(_u5145)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), _u5146), _u5147))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5145), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5145), _u5148), _u5146)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5145), _u5148), _u5147))) )).
% 13.06/13.31 cnf(matrix-3370, plain, ( ~class_Fields_Olinordered__field(_u5149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), _u5150), _u5151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), c_Groups_Ozero__class_Ozero(_u5149)), _u5152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), c_Groups_Ozero__class_Ozero(_u5149)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5149), _u5151), _u5150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5149), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5149), _u5152), _u5151)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5149), _u5152), _u5150))) )).
% 13.06/13.31 cnf(matrix-3371, plain, ( ~class_Fields_Olinordered__field(_u5153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), _u5154), c_Groups_Ozero__class_Ozero(_u5153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5153), _u5155), _u5154)), _u5156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5153), _u5156), _u5154)), _u5155)) )).
% 13.06/13.31 cnf(matrix-3372, plain, ( ~class_Fields_Olinordered__field(_u5153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), _u5154), c_Groups_Ozero__class_Ozero(_u5153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5153), _u5156), _u5154)), _u5155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5153), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5153), _u5155), _u5154)), _u5156)) )).
% 13.06/13.31 cnf(matrix-3373, plain, ( ~class_Fields_Olinordered__field(_u5157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5158), c_Groups_Ozero__class_Ozero(_u5157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5159), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5157), _u5160), _u5158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5157), _u5159), _u5158))) )).
% 13.06/13.31 cnf(matrix-3374, plain, ( ~class_Fields_Olinordered__field(_u5157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5158), c_Groups_Ozero__class_Ozero(_u5157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5157), _u5159), _u5158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5157), _u5159), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5157), _u5160), _u5158))) )).
% 13.06/13.31 cnf(matrix-3375, plain, ( ~class_Fields_Olinordered__field(_u5161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5161), c_Groups_Ozero__class_Ozero(_u5161)), _u5162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5161), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5161), _u5163), _u5162)), _u5164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5161), _u5163), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5161), _u5164), _u5162))) )).
% 13.06/13.31 cnf(matrix-3376, plain, ( ~class_Fields_Olinordered__field(_u5165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5165), c_Groups_Ozero__class_Ozero(_u5165)), _u5166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5165), _u5167), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5165), _u5168), _u5166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5165), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5165), _u5167), _u5166)), _u5168)) )).
% 13.06/13.31 cnf(matrix-3377, plain, ( ~class_Fields_Olinordered__field(_u5169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), _u5170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5169), _u5171), _u5170)), _u5172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), _u5171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5169), _u5172), _u5170))) )).
% 13.06/13.31 cnf(matrix-3378, plain, ( ~class_Fields_Olinordered__field(_u5169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), c_Groups_Ozero__class_Ozero(_u5169)), _u5170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), _u5171), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5169), _u5172), _u5170))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5169), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5169), _u5171), _u5170)), _u5172)) )).
% 13.06/13.31 cnf(matrix-3379, plain, ( ~class_Fields_Olinordered__field(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5175), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5173), _u5176), _u5174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5173), _u5175), _u5174)), _u5176)) )).
% 13.06/13.31 cnf(matrix-3380, plain, ( ~class_Fields_Olinordered__field(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), _u5174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5173), _u5175), _u5174)), _u5176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5175), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5173), _u5176), _u5174))) )).
% 13.06/13.31 cnf(matrix-3381, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) )).
% 13.06/13.31 cnf(matrix-3382, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) )).
% 13.06/13.31 cnf(matrix-3383, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.06/13.31 cnf(matrix-3384, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.06/13.31 cnf(matrix-3385, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) )).
% 13.06/13.31 cnf(matrix-3386, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.06/13.31 cnf(matrix-3387, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5179)) )).
% 13.06/13.31 cnf(matrix-3388, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.06/13.31 cnf(matrix-3389, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5179), c_Groups_Ozero__class_Ozero(_u5177))) )).
% 13.06/13.31 cnf(matrix-3390, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5177), _u5178), _u5179)), _u5180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), _u5178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5180), _u5179)), _u5178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5177), c_Groups_Ozero__class_Ozero(_u5177)), _u5180)) )).
% 13.06/13.31 cnf(matrix-3391, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) )).
% 13.06/13.31 cnf(matrix-3392, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) )).
% 13.06/13.31 cnf(matrix-3393, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.06/13.31 cnf(matrix-3394, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.06/13.31 cnf(matrix-3395, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.06/13.31 cnf(matrix-3396, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.06/13.31 cnf(matrix-3397, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), _u5184)) )).
% 13.06/13.31 cnf(matrix-3398, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.06/13.31 cnf(matrix-3399, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5184), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.06/13.31 cnf(matrix-3400, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184)), _u5183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5181), _u5182), _u5184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), _u5182), c_Groups_Ozero__class_Ozero(_u5181))) )).
% 13.06/13.31 cnf(matrix-3401, plain, ( ~c_Nat__Transfer_Ois__nat(_u5186) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5186)) )).
% 13.06/13.31 cnf(matrix-3402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5187)) | c_Nat__Transfer_Ois__nat(_u5187) )).
% 13.06/13.31 cnf(matrix-3403, plain, ( ~class_Fields_Ofield(_u5188) | ( _u5189 = c_Groups_Ozero__class_Ozero(_u5188)) | ( _u5190 = c_Groups_Ozero__class_Ozero(_u5188)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5188), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5188), _u5191), _u5189)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5188), _u5192), _u5190)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), _u5191), _u5190)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), _u5192), _u5189))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5188), _u5189), _u5190))) )).
% 13.06/13.31 cnf(matrix-3404, plain, ( ~class_Fields_Ofield(_u5193) | ( _u5194 = c_Groups_Ozero__class_Ozero(_u5193)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5193), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5193), _u5195), _u5194)), _u5196) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5193), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5193), _u5195), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5193), _u5194), _u5196))), _u5194)) )).
% 13.06/13.31 cnf(matrix-3405, plain, ( ~class_Fields_Ofield__inverse__zero(_u5197) | ( _u5198 = c_Groups_Ozero__class_Ozero(_u5197)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5197), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), _u5199), _u5198)), _u5200) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5197), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5197), _u5199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5197), _u5200), _u5198))), _u5198)) )).
% 13.06/13.31 cnf(matrix-3406, plain, ( ~class_Fields_Ofield(_u5201) | ( _u5202 = c_Groups_Ozero__class_Ozero(_u5201)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5201), _u5203), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), _u5204), _u5202)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5201), _u5202), _u5203)), _u5204)), _u5202)) )).
% 13.06/13.31 cnf(matrix-3407, plain, ( ~class_Fields_Ofield__inverse__zero(_u5205) | ( _u5206 = c_Groups_Ozero__class_Ozero(_u5205)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), _u5207), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5205), _u5208), _u5206)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), _u5208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5205), _u5207), _u5206))), _u5206)) )).
% 13.06/13.31 cnf(matrix-3408, plain, ( ~class_Fields_Ofield(_u5209) | ( _u5210 = c_Groups_Ozero__class_Ozero(_u5209)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5209), _u5211), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5209), _u5212), _u5210)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5209), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5209), _u5210), _u5211)), _u5212)), _u5210)) )).
% 13.06/13.31 cnf(matrix-3409, plain, ( ~class_Fields_Ofield(_u5213) | ( _u5214 = c_Groups_Ozero__class_Ozero(_u5213)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5213), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5213), _u5215), _u5214)), _u5216) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5213), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5213), _u5215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5213), _u5214), _u5216))), _u5214)) )).
% 13.06/13.31 cnf(matrix-3410, plain, ( ~class_Fields_Ofield(_u5217) | ( _u5218 = c_Groups_Ozero__class_Ozero(_u5217)) | ( _u5219 = c_Groups_Ozero__class_Ozero(_u5217)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5217), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5217), _u5220), _u5218)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5217), _u5221), _u5219)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5217), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5217), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5217), _u5220), _u5219)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5217), _u5221), _u5218))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5217), _u5218), _u5219))) )).
% 13.06/13.31 cnf(matrix-3411, plain, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) = c_Groups_Ozero__class_Ozero(_u5222)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5222), _u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225)) = _u5224) )).
% 13.06/13.31 cnf(matrix-3412, plain, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) != c_Groups_Ozero__class_Ozero(_u5222)) | ( _u5223 = c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.06/13.31 cnf(matrix-3413, plain, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) != c_Groups_Ozero__class_Ozero(_u5222)) | ( _u5223 != c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.06/13.31 cnf(matrix-3414, plain, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5222), _u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225)) != _u5224) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225) = c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.06/13.31 cnf(matrix-3415, plain, ( ~class_Fields_Ofield__inverse__zero(_u5222) | ~class_Int_Onumber(_u5222) | ( _u5223 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5224), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5222), _u5223), hAPP(c_Int_Onumber__class_Onumber__of(_u5222), _u5225)) != _u5224) | ( _u5223 != c_Groups_Ozero__class_Ozero(_u5222)) )).
% 13.06/13.31 cnf(matrix-3416, plain, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( _u5229 = c_Groups_Ozero__class_Ozero(_u5226)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227)), _u5229) = _u5228) )).
% 13.06/13.31 cnf(matrix-3417, plain, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( _u5229 != c_Groups_Ozero__class_Ozero(_u5226)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.06/13.31 cnf(matrix-3418, plain, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( _u5229 != c_Groups_Ozero__class_Ozero(_u5226)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.06/13.31 cnf(matrix-3419, plain, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227)), _u5229) != _u5228) | ( _u5229 = c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.06/13.31 cnf(matrix-3420, plain, ( ~class_Fields_Ofield__inverse__zero(_u5226) | ~class_Int_Onumber(_u5226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5226), _u5228), _u5229)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5226), hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227)), _u5229) != _u5228) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5226), _u5227) != c_Groups_Ozero__class_Ozero(_u5226)) )).
% 13.06/13.31 cnf(matrix-3421, plain, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) != hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5232 = c_Groups_Ozero__class_Ozero(_u5230)) | ( _u5231 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5230), hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)), _u5232)) )).
% 13.06/13.31 cnf(matrix-3422, plain, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) != hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5232 != c_Groups_Ozero__class_Ozero(_u5230)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233) = c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.06/13.31 cnf(matrix-3423, plain, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) = hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5232 != c_Groups_Ozero__class_Ozero(_u5230)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233) != c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.06/13.31 cnf(matrix-3424, plain, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) = hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5231 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5230), hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)), _u5232)) | ( _u5232 = c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.06/13.31 cnf(matrix-3425, plain, ( ~class_Fields_Ofield__inverse__zero(_u5230) | ~class_Int_Onumber(_u5230) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5230), _u5231), _u5232) = hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)) | ( _u5231 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5230), hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233)), _u5232)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5230), _u5233) != c_Groups_Ozero__class_Ozero(_u5230)) )).
% 13.06/13.31 cnf(matrix-3426, plain, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) != _u5237) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) = c_Groups_Ozero__class_Ozero(_u5234)) | ( _u5235 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5234), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236))) )).
% 13.06/13.31 cnf(matrix-3427, plain, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) != _u5237) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) != c_Groups_Ozero__class_Ozero(_u5234)) | ( _u5237 = c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.06/13.31 cnf(matrix-3428, plain, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) = _u5237) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) != c_Groups_Ozero__class_Ozero(_u5234)) | ( _u5237 != c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.06/13.31 cnf(matrix-3429, plain, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) = _u5237) | ( _u5235 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5234), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236) = c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.06/13.31 cnf(matrix-3430, plain, ( ~class_Fields_Ofield__inverse__zero(_u5234) | ~class_Int_Onumber(_u5234) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5234), _u5235), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236)) = _u5237) | ( _u5235 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5234), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(_u5234), _u5236))) | ( _u5237 != c_Groups_Ozero__class_Ozero(_u5234)) )).
% 13.06/13.31 cnf(matrix-3431, plain, ( ~class_Fields_Olinordered__field(_u5238) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5238), _u5239), _u5240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5238), _u5239), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5238), _u5239), _u5240)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5238), c_Groups_Oone__class_Oone(_u5238)), c_Groups_Oone__class_Oone(_u5238))))) )).
% 13.06/13.31 cnf(matrix-3432, plain, ( ~class_Fields_Olinordered__field(_u5241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5241), _u5242), _u5243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5241), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5241), _u5242), _u5243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5241), c_Groups_Oone__class_Oone(_u5241)), c_Groups_Oone__class_Oone(_u5241)))), _u5243)) )).
% 13.06/13.31 cnf(matrix-3433, plain, ( ~class_Fields_Ofield__inverse__zero(_u5244) | ~class_Int_Onumber__ring(_u5244) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5244), _u5245), hAPP(c_Int_Onumber__class_Onumber__of(_u5244), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5244)) )).
% 13.06/13.31 cnf(matrix-3434, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5246), c_Groups_Ozero__class_Ozero(_u5246)), _u5247)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5246), hAPP(c_Groups_Oabs__class_Oabs(_u5246), _u5248)), _u5247) = hAPP(c_Groups_Oabs__class_Oabs(_u5246), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5246), _u5248), _u5247))) )).
% 13.06/13.31 cnf(matrix-3435, plain, ( ~class_Fields_Ofield(_u5249) | ~class_Int_Onumber__ring(_u5249) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5249), _u5250), hAPP(c_Int_Onumber__class_Onumber__of(_u5249), c_Int_OBit1(c_Int_OPls))) = _u5250) )).
% 13.06/13.31 cnf(matrix-3436, plain, ( ~class_Fields_Ofield(_u5251) | ~class_Int_Onumber__ring(_u5251) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5252), hAPP(c_Int_Onumber__class_Onumber__of(_u5251), c_Int_OBit1(c_Int_OPls))) = _u5252) )).
% 13.06/13.31 cnf(matrix-3437, plain, ( ~class_Fields_Ofield__inverse__zero(_u5253) | ~class_Int_Onumber__ring(_u5253) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5253), _u5254), hAPP(c_Int_Onumber__class_Onumber__of(_u5253), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5254)) )).
% 13.06/13.31 cnf(matrix-3438, 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)) )).
% 13.06/13.31 cnf(matrix-3439, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) )).
% 13.06/13.31 cnf(matrix-3440, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) )).
% 13.06/13.31 cnf(matrix-3441, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.06/13.31 cnf(matrix-3442, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.06/13.31 cnf(matrix-3443, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.06/13.31 cnf(matrix-3444, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.06/13.31 cnf(matrix-3445, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), c_Groups_Ozero__class_Ozero(_u5255)), _u5258)) )).
% 13.06/13.31 cnf(matrix-3446, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.06/13.31 cnf(matrix-3447, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5255), _u5258), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.06/13.31 cnf(matrix-3448, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5255) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258)), _u5257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5256), _u5258))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5255), _u5256), c_Groups_Ozero__class_Ozero(_u5255))) )).
% 13.06/13.31 cnf(matrix-3449, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) )).
% 13.06/13.31 cnf(matrix-3450, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) )).
% 13.06/13.31 cnf(matrix-3451, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.06/13.31 cnf(matrix-3452, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.06/13.31 cnf(matrix-3453, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) )).
% 13.06/13.31 cnf(matrix-3454, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.06/13.31 cnf(matrix-3455, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5261)) )).
% 13.06/13.31 cnf(matrix-3456, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.06/13.31 cnf(matrix-3457, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), _u5261), c_Groups_Ozero__class_Ozero(_u5259))) )).
% 13.06/13.31 cnf(matrix-3458, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), _u5261)), _u5262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5262), _u5261)), _u5260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5262)) )).
% 13.06/13.31 cnf(matrix-3459, plain, ( ~class_Fields_Olinordered__field(_u5263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), c_Groups_Ozero__class_Ozero(_u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), _u5265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5266), _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5263), _u5265), _u5264)), _u5266)) )).
% 13.06/13.31 cnf(matrix-3460, plain, ( ~class_Fields_Olinordered__field(_u5263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5263), c_Groups_Ozero__class_Ozero(_u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5263), _u5265), _u5264)), _u5266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5263), _u5265), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5266), _u5264))) )).
% 13.06/13.31 cnf(matrix-3461, plain, ( ~class_Fields_Olinordered__field(_u5267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), c_Groups_Ozero__class_Ozero(_u5267)), _u5268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5269), _u5268)), _u5270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), _u5269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5267), _u5270), _u5268))) )).
% 13.06/13.31 cnf(matrix-3462, plain, ( ~class_Fields_Olinordered__field(_u5267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5267), c_Groups_Ozero__class_Ozero(_u5267)), _u5268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), _u5269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5267), _u5270), _u5268))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5267), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5269), _u5268)), _u5270)) )).
% 13.06/13.31 cnf(matrix-3463, plain, ( ~class_Fields_Olinordered__field(_u5271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), c_Groups_Ozero__class_Ozero(_u5271)), _u5272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5271), _u5273), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5271), _u5274), _u5272))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5271), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), _u5273), _u5272)), _u5274)) )).
% 13.06/13.31 cnf(matrix-3464, plain, ( ~class_Fields_Olinordered__field(_u5275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5275), c_Groups_Ozero__class_Ozero(_u5275)), _u5276)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5277), _u5276)), _u5278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5275), _u5277), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5278), _u5276))) )).
% 13.06/13.31 cnf(matrix-3465, plain, ( ~class_Fields_Olinordered__field(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5281), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5282), _u5280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5279), _u5281), _u5280))) )).
% 13.06/13.31 cnf(matrix-3466, plain, ( ~class_Fields_Olinordered__field(_u5279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), _u5280), c_Groups_Ozero__class_Ozero(_u5279))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5279), _u5281), _u5280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5279), _u5281), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5279), _u5282), _u5280))) )).
% 13.06/13.31 cnf(matrix-3467, plain, ( ~class_Fields_Olinordered__field(_u5283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5283), _u5284), c_Groups_Ozero__class_Ozero(_u5283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5283), _u5285), _u5284)), _u5286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5283), _u5286), _u5284)), _u5285)) )).
% 13.06/13.31 cnf(matrix-3468, plain, ( ~class_Fields_Olinordered__field(_u5283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5283), _u5284), c_Groups_Ozero__class_Ozero(_u5283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5283), _u5286), _u5284)), _u5285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5283), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5283), _u5285), _u5284)), _u5286)) )).
% 13.06/13.31 cnf(matrix-3469, plain, ( ~class_Fields_Olinordered__field(_u5287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5287), _u5288), _u5289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5287), c_Groups_Ozero__class_Ozero(_u5287)), _u5290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5287), c_Groups_Ozero__class_Ozero(_u5287)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5287), _u5289), _u5288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5287), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5287), _u5290), _u5289)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5287), _u5290), _u5288))) )).
% 13.06/13.31 cnf(matrix-3470, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5291), _u5292), _u5293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5291), _u5294), c_Groups_Ozero__class_Ozero(_u5291))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5291), c_Groups_Ozero__class_Ozero(_u5291)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5291), _u5292), _u5293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5291), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5294), _u5292)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5291), _u5294), _u5293))) )).
% 13.06/13.31 cnf(matrix-3471, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) )).
% 13.06/13.31 cnf(matrix-3472, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) )).
% 13.06/13.31 cnf(matrix-3473, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.06/13.31 cnf(matrix-3474, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.06/13.31 cnf(matrix-3475, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.06/13.31 cnf(matrix-3476, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.06/13.31 cnf(matrix-3477, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), c_Groups_Ozero__class_Ozero(_u5295)), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))) )).
% 13.06/13.31 cnf(matrix-3478, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.06/13.31 cnf(matrix-3479, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.06/13.31 cnf(matrix-3480, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5295) | ~class_Int_Onumber(_u5295) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5295), _u5297), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298))), _u5297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), hAPP(c_Int_Onumber__class_Onumber__of(_u5295), _u5298)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5295), _u5296), c_Groups_Ozero__class_Ozero(_u5295))) )).
% 13.06/13.31 cnf(matrix-3481, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) )).
% 13.06/13.31 cnf(matrix-3482, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) )).
% 13.06/13.31 cnf(matrix-3483, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.06/13.31 cnf(matrix-3484, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.06/13.31 cnf(matrix-3485, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.06/13.31 cnf(matrix-3486, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.06/13.31 cnf(matrix-3487, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), c_Groups_Ozero__class_Ozero(_u5299)), _u5302)) )).
% 13.06/13.31 cnf(matrix-3488, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.06/13.31 cnf(matrix-3489, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5302), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.06/13.31 cnf(matrix-3490, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5299) | ~class_Int_Onumber(_u5299) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5301), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302)), _u5301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), _u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), _u5302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5299), hAPP(c_Int_Onumber__class_Onumber__of(_u5299), _u5300)), c_Groups_Ozero__class_Ozero(_u5299))) )).
% 13.06/13.31 cnf(matrix-3491, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) )).
% 13.06/13.31 cnf(matrix-3492, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) )).
% 13.06/13.31 cnf(matrix-3493, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.06/13.31 cnf(matrix-3494, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.06/13.31 cnf(matrix-3495, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) )).
% 13.06/13.31 cnf(matrix-3496, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.06/13.31 cnf(matrix-3497, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), _u5305)) )).
% 13.06/13.31 cnf(matrix-3498, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.06/13.31 cnf(matrix-3499, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5305), c_Groups_Ozero__class_Ozero(_u5303))) )).
% 13.06/13.31 cnf(matrix-3500, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ~class_Int_Onumber(_u5303) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), _u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5303), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306)), _u5305)), _u5304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5303), c_Groups_Ozero__class_Ozero(_u5303)), hAPP(c_Int_Onumber__class_Onumber__of(_u5303), _u5306))) )).
% 13.06/13.31 cnf(matrix-3501, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) )).
% 13.06/13.31 cnf(matrix-3502, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) )).
% 13.06/13.31 cnf(matrix-3503, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.06/13.31 cnf(matrix-3504, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.06/13.31 cnf(matrix-3505, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) )).
% 13.06/13.31 cnf(matrix-3506, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.06/13.31 cnf(matrix-3507, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))) )).
% 13.06/13.31 cnf(matrix-3508, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.06/13.31 cnf(matrix-3509, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)), c_Groups_Ozero__class_Ozero(_u5307))) )).
% 13.06/13.31 cnf(matrix-3510, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5307) | ~class_Int_Onumber(_u5307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5307), _u5308), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), _u5308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5307), _u5310), hAPP(c_Int_Onumber__class_Onumber__of(_u5307), _u5309))), _u5308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5307), c_Groups_Ozero__class_Ozero(_u5307)), _u5310)) )).
% 13.06/13.31 cnf(matrix-3511, plain, ( ~class_Fields_Ofield(_u5311) | ( _u5312 = c_Groups_Ozero__class_Ozero(_u5311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5313), _u5314)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5311), _u5312), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5314), _u5313)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5311), hAPP(hAPP(c_Power_Opower__class_Opower(_u5311), _u5312), _u5314)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5311), _u5312), _u5313))) )).
% 13.06/13.31 cnf(matrix-3512, plain, ( ~class_Fields_Ofield__inverse__zero(_u5315) | ~class_Int_Onumber__ring(_u5315) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), hAPP(c_Int_Onumber__class_Onumber__of(_u5315), c_Int_OMin)), _u5316) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5315), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5315), c_Groups_Oone__class_Oone(_u5315)), _u5316))) )).
% 13.06/13.31 cnf(matrix-3513, 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)))) )).
% 13.06/13.31 cnf(matrix-3514, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) )).
% 13.06/13.31 cnf(matrix-3515, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) )).
% 13.06/13.31 cnf(matrix-3516, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.06/13.31 cnf(matrix-3517, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.06/13.31 cnf(matrix-3518, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.06/13.31 cnf(matrix-3519, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.06/13.31 cnf(matrix-3520, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))) )).
% 13.06/13.31 cnf(matrix-3521, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.06/13.31 cnf(matrix-3522, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5317), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.06/13.31 cnf(matrix-3523, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~class_Int_Onumber(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5319), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320))), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5317), _u5318), hAPP(c_Int_Onumber__class_Onumber__of(_u5317), _u5320)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 13.06/13.31 cnf(matrix-3524, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) )).
% 13.06/13.31 cnf(matrix-3525, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) )).
% 13.06/13.31 cnf(matrix-3526, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.06/13.31 cnf(matrix-3527, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.06/13.31 cnf(matrix-3528, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.06/13.31 cnf(matrix-3529, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.06/13.31 cnf(matrix-3530, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), c_Groups_Ozero__class_Ozero(_u5321)), _u5324)) )).
% 13.06/13.31 cnf(matrix-3531, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.06/13.31 cnf(matrix-3532, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5321), _u5324), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.06/13.31 cnf(matrix-3533, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5321) | ~class_Int_Onumber(_u5321) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5321), _u5323), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), _u5323), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), _u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5321), hAPP(c_Int_Onumber__class_Onumber__of(_u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5321))) )).
% 13.06/13.31 cnf(matrix-3534, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) )).
% 13.06/13.31 cnf(matrix-3535, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) )).
% 13.06/13.31 cnf(matrix-3536, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.06/13.31 cnf(matrix-3537, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.06/13.31 cnf(matrix-3538, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) )).
% 13.06/13.31 cnf(matrix-3539, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.06/13.31 cnf(matrix-3540, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), _u5327)) )).
% 13.06/13.31 cnf(matrix-3541, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.06/13.31 cnf(matrix-3542, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5325), _u5327), c_Groups_Ozero__class_Ozero(_u5325))) )).
% 13.06/13.31 cnf(matrix-3543, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5325) | ~class_Int_Onumber(_u5325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5325), _u5326), _u5327)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), _u5326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328)), _u5327)), _u5326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5325), c_Groups_Ozero__class_Ozero(_u5325)), hAPP(c_Int_Onumber__class_Onumber__of(_u5325), _u5328))) )).
% 13.06/13.31 cnf(matrix-3544, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) )).
% 13.06/13.31 cnf(matrix-3545, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) )).
% 13.06/13.31 cnf(matrix-3546, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.06/13.31 cnf(matrix-3547, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.06/13.31 cnf(matrix-3548, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) )).
% 13.06/13.31 cnf(matrix-3549, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.06/13.31 cnf(matrix-3550, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))) )).
% 13.06/13.31 cnf(matrix-3551, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.06/13.31 cnf(matrix-3552, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5329), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)), c_Groups_Ozero__class_Ozero(_u5329))) )).
% 13.06/13.31 cnf(matrix-3553, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5329) | ~class_Int_Onumber(_u5329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5329), _u5330), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), _u5330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5332), hAPP(c_Int_Onumber__class_Onumber__of(_u5329), _u5331))), _u5330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5329), c_Groups_Ozero__class_Ozero(_u5329)), _u5332)) )).
% 13.06/13.31 cnf(matrix-3554, plain, ( ( _u5335 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5335, _u5337) = _u5337) )).
% 13.06/13.31 cnf(matrix-3555, plain, ( ( _u5336 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5336, _u5338) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5336), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5338))) )).
% 13.06/13.31 cnf(matrix-3556, 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)) )).
% 13.06/13.31 cnf(matrix-3557, 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)) )).
% 13.06/13.31 cnf(matrix-3558, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5339, _u5340, _u5341, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5340) )).
% 13.06/13.31 cnf(matrix-3559, plain, ( ( c_Random_Olog(_u5344, _u5346) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5344), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 13.06/13.31 cnf(matrix-3560, plain, ( ( c_Random_Olog(_u5344, _u5346) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5346), _u5344)) )).
% 13.06/13.31 cnf(matrix-3561, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5345), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5347), _u5345)) | ( c_Random_Olog(_u5345, _u5347) = 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(_u5345, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5347), _u5345)))) )).
% 13.06/13.31 cnf(matrix-3562, 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), _u5348))) | ~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), _u5348)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5348)) = 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), _u5348)))) )).
% 13.06/13.31 cnf(matrix-3563, 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), _u5348))) | 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), _u5348)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5348)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5348)), 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), _u5348))))) )).
% 13.06/13.31 cnf(matrix-3564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5349), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5350)) | ( c_Divides_OnegDivAlg(_u5349, _u5350) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5349), _u5350)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5349, _u5350))) )).
% 13.06/13.31 cnf(matrix-3565, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5351) = 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), _u5351), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.06/13.31 cnf(matrix-3566, plain, ( ( c_Divides_OnegDivAlg(_u5354, _u5356) = 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), _u5354), _u5356))) | ~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), _u5354), _u5356))) )).
% 13.06/13.31 cnf(matrix-3567, plain, ( ( c_Divides_OnegDivAlg(_u5354, _u5356) = 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), _u5354), _u5356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5356), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3568, 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), _u5355), _u5357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5357), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5355, _u5357) = hAPP(c_Divides_Oadjust(_u5357), c_Divides_OnegDivAlg(_u5355, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5357)))) )).
% 13.06/13.31 cnf(matrix-3569, 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), _u5358))) | ~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), _u5359)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5359), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)) = 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), _u5359)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)))) )).
% 13.06/13.31 cnf(matrix-3570, 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), _u5358))) | 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), _u5359)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5359), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5358)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5359), hAPP(hAPP(c_Groups_Otimes__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), _u5358))))) )).
% 13.06/13.31 cnf(matrix-3571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5360)) | ~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), _u5361), _u5360))) | ( c_Divides_OnegDivAlg(_u5361, _u5360) = 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), _u5361), _u5360))) )).
% 13.06/13.31 cnf(matrix-3572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5360)) | 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), _u5361), _u5360))) | ( c_Divides_OnegDivAlg(_u5361, _u5360) = hAPP(c_Divides_Oadjust(_u5360), c_Divides_OnegDivAlg(_u5361, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5360)))) )).
% 13.06/13.31 cnf(matrix-3573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5365), _u5367)) | ( c_Random_Ominus__shift(_u5369, _u5365, _u5367) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5369), _u5365)), _u5367)) )).
% 13.06/13.31 cnf(matrix-3574, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5366), _u5368)) | ( c_Random_Ominus__shift(_u5370, _u5366, _u5368) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5366), _u5368)) )).
% 13.06/13.31 cnf(matrix-3575, plain, ( ( _u5373 != _u5375) | ( c_Random_Oinc__shift(_u5373, _u5375) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 13.06/13.31 cnf(matrix-3576, plain, ( ( _u5374 = _u5376) | ( c_Random_Oinc__shift(_u5374, _u5376) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5376), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 13.06/13.31 cnf(matrix-3577, 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), _u5377))) | ~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), _u5377))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5377)) = 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))) )).
% 13.06/13.31 cnf(matrix-3578, 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), _u5377))) | 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), _u5377))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5377)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5377)), 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), _u5377))))) )).
% 13.06/13.31 cnf(matrix-3579, plain, ( ( c_Divides_OposDivAlg(_u5380, _u5382) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5380), _u5382)) )).
% 13.06/13.31 cnf(matrix-3580, plain, ( ( c_Divides_OposDivAlg(_u5380, _u5382) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5382), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3581, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5381), _u5383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5383), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5381, _u5383) = hAPP(c_Divides_Oadjust(_u5383), c_Divides_OposDivAlg(_u5381, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5383)))) )).
% 13.06/13.31 cnf(matrix-3582, 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), _u5384))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384)) = 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), _u5385))) )).
% 13.06/13.31 cnf(matrix-3583, 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), _u5384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5384)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5385), hAPP(hAPP(c_Groups_Otimes__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), _u5384))))) )).
% 13.06/13.31 cnf(matrix-3584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5387), _u5386)) | ( c_Divides_OposDivAlg(_u5387, _u5386) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5387)) )).
% 13.06/13.31 cnf(matrix-3585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5387), _u5386)) | ( c_Divides_OposDivAlg(_u5387, _u5386) = hAPP(c_Divides_Oadjust(_u5386), c_Divides_OposDivAlg(_u5387, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5386)))) )).
% 13.06/13.31 cnf(matrix-3586, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5388) = 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))) )).
% 13.06/13.31 cnf(matrix-3587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5390)) | ( c_Divides_OposDivAlg(_u5389, _u5390) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5389), _u5390)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5389, _u5390))) )).
% 13.06/13.31 cnf(matrix-3588, 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), _u5391), _u5392))) | ( c_Divides_OnegDivAlg(_u5391, _u5392) = 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), _u5391), _u5392))) | ~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), _u5391), _u5392))) )).
% 13.06/13.31 cnf(matrix-3589, 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), _u5391), _u5392))) | ( c_Divides_OnegDivAlg(_u5391, _u5392) = 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), _u5391), _u5392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5392), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3590, 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), _u5391), _u5392))) | 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), _u5391), _u5392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5392), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5391, _u5392) = hAPP(c_Divides_Oadjust(_u5392), c_Divides_OnegDivAlg(_u5391, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5392)))) )).
% 13.06/13.31 cnf(matrix-3591, plain, ( ( _u5395 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u5397, _u5395) = 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), _u5397))) )).
% 13.06/13.31 cnf(matrix-3592, plain, ( ( _u5396 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u5398, _u5396) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5398), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5396))) )).
% 13.06/13.31 cnf(matrix-3593, plain, ( ( c_Divides_Opdivmod(_u5399, _u5400) = 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), _u5399)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5400))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5399), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5400)))) )).
% 13.06/13.31 cnf(matrix-3594, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5401, _u5402), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5403), _u5404))) | ( _u5402 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5405)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5402), _u5405)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5403), _u5405)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5402), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5403, _u5405))), _u5404)))) )).
% 13.06/13.31 cnf(matrix-3595, 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), _u5406), _u5407))) | ( c_Divides_OposDivAlg(_u5406, _u5407) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5406), _u5407)) )).
% 13.06/13.31 cnf(matrix-3596, 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), _u5406), _u5407))) | ( c_Divides_OposDivAlg(_u5406, _u5407) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5407), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3597, 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), _u5406), _u5407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5406), _u5407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5407), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5406, _u5407) = hAPP(c_Divides_Oadjust(_u5407), c_Divides_OposDivAlg(_u5406, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5407)))) )).
% 13.06/13.31 cnf(matrix-3598, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5408, _u5409), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5410), _u5411))) | ( _u5409 = 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), _u5412), _u5408), _u5409), 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), _u5412), _u5410)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5412), _u5411)), _u5409))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5412), _u5411), _u5409)))) )).
% 13.06/13.31 cnf(matrix-3599, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5418, _u5420), _u5422)) | ~hBOOL(hAPP(hAPP(_u5420, _u5413), _u5422)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5418, _u5420), _u5413)) )).
% 13.06/13.31 cnf(matrix-3600, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5419, _u5421), _u5423)) | hBOOL(hAPP(hAPP(_u5421, skolem85(_u5423, _u5421, _u5419)), _u5423)) )).
% 13.06/13.31 cnf(matrix-3601, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5419, _u5421), _u5423)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5419, _u5421), skolem85(_u5423, _u5421, _u5419))) )).
% 13.06/13.31 cnf(matrix-3602, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5429, _u5431), _u5433)) | ~hBOOL(hAPP(hAPP(_u5431, _u5424), _u5433)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5429, _u5431), _u5424)) )).
% 13.06/13.31 cnf(matrix-3603, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5430, _u5432), _u5434)) | hBOOL(hAPP(hAPP(_u5432, skolem86(_u5434, _u5432, _u5430)), _u5434)) )).
% 13.06/13.31 cnf(matrix-3604, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u5430, _u5432), _u5434)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5430, _u5432), skolem86(_u5434, _u5432, _u5430))) )).
% 13.06/13.31 cnf(matrix-3605, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u5435, _u5436), _u5437)) | ~hBOOL(hAPP(hAPP(_u5436, _u5438), _u5437)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u5435, _u5436), _u5438)) )).
% 13.06/13.31 cnf(matrix-3606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5439, tc_fun(_u5439, tc_HOL_Obool))), _u5440), _u5441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5439, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u5439, _u5441)), c_Wellfounded_Oaccp(_u5439, _u5440))) )).
% 13.06/13.31 cnf(matrix-3607, plain, ( ( _u5442 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5442), 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)))) )).
% 13.06/13.31 cnf(matrix-3608, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5443, _u5443), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5444), _u5445))) | ( _u5443 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5445 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3609, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5446, _u5447), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5448), _u5449))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5446, _u5447), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5450), _u5451))) | ( _u5447 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5448 = _u5450) )).
% 13.06/13.31 cnf(matrix-3610, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5452, _u5453), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5454), _u5455))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5452, _u5453), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5456), _u5457))) | ( _u5453 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5455 = _u5457) )).
% 13.06/13.31 cnf(matrix-3611, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5458, _u5458), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5459), _u5460))) | ( _u5458 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5459 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3612, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5461, _u5462), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5463), _u5464))) | ( _u5462 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5461, _u5462) = _u5464) )).
% 13.06/13.31 cnf(matrix-3613, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5465, _u5466), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5467), _u5468))) | ( _u5466 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5465), _u5466) = _u5467) )).
% 13.06/13.31 cnf(matrix-3614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5470)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5469, _u5470), c_Divides_OnegDivAlg(_u5469, _u5470))) )).
% 13.06/13.31 cnf(matrix-3615, plain, ( ( _u5471 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5472, _u5471), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5472), _u5471)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5472, _u5471)))) )).
% 13.06/13.31 cnf(matrix-3616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5474)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5473, _u5474), c_Divides_OposDivAlg(_u5473, _u5474))) )).
% 13.06/13.31 cnf(matrix-3617, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5475, _u5476), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5477), _u5478))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5479, _u5476), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5480), _u5481))) | ( _u5476 = 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), _u5475), _u5479), _u5476), 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), _u5477), _u5480)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5478), _u5481)), _u5476))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5478), _u5481), _u5476)))) )).
% 13.06/13.31 cnf(matrix-3618, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5482, _u5483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5484), _u5485))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5482), _u5483), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u5485), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5484)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5484)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u5485), 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), _u5483), _u5485))))) )).
% 13.06/13.31 cnf(matrix-3619, plain, ( ( _u5486 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5487), _u5488)), _u5489)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5486, _u5487), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5488), _u5489))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5487), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5489), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3620, plain, ( ( _u5486 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5487), _u5488)), _u5489)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5486, _u5487), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5488), _u5489))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5489), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5487)) )).
% 13.06/13.31 cnf(matrix-3621, plain, ( ( _u5486 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5487), _u5488)), _u5489)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5486, _u5487), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5488), _u5489))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5489), _u5487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5487), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5489), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3622, 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), _u5492), _u5493))) | hBOOL(hAPP(hAPP(_u5494, _u5492), _u5493)) | 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), skolem87(_u5494, _u5493, _u5492)), skolem88(_u5494, _u5493, _u5492)))) )).
% 13.06/13.31 cnf(matrix-3623, 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), _u5492), _u5493))) | hBOOL(hAPP(hAPP(_u5494, _u5492), _u5493)) | 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), skolem87(_u5494, _u5493, _u5492)), skolem88(_u5494, _u5493, _u5492)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem88(_u5494, _u5493, _u5492)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5494, skolem87(_u5494, _u5493, _u5492)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem88(_u5494, _u5493, _u5492)))) )).
% 13.06/13.31 cnf(matrix-3624, 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), _u5492), _u5493))) | hBOOL(hAPP(hAPP(_u5494, _u5492), _u5493)) | ~hBOOL(hAPP(hAPP(_u5494, skolem87(_u5494, _u5493, _u5492)), skolem88(_u5494, _u5493, _u5492))) )).
% 13.06/13.31 cnf(matrix-3625, 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), _u5497), _u5498))) | hBOOL(hAPP(hAPP(_u5499, _u5497), _u5498)) | 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), skolem89(_u5499, _u5498, _u5497)), skolem90(_u5499, _u5498, _u5497)))) )).
% 13.06/13.31 cnf(matrix-3626, 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), _u5497), _u5498))) | hBOOL(hAPP(hAPP(_u5499, _u5497), _u5498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem89(_u5499, _u5498, _u5497)), skolem90(_u5499, _u5498, _u5497))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem90(_u5499, _u5498, _u5497)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5499, skolem89(_u5499, _u5498, _u5497)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem90(_u5499, _u5498, _u5497)))) )).
% 13.06/13.31 cnf(matrix-3627, 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), _u5497), _u5498))) | hBOOL(hAPP(hAPP(_u5499, _u5497), _u5498)) | ~hBOOL(hAPP(hAPP(_u5499, skolem89(_u5499, _u5498, _u5497)), skolem90(_u5499, _u5498, _u5497))) )).
% 13.06/13.31 cnf(matrix-3628, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5500)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5500)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.31 cnf(matrix-3629, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5501)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5501)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.31 cnf(matrix-3630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5506)) | ( c_Divides_Odivmod__int(_u5504, _u5506) = c_Divides_OposDivAlg(_u5504, _u5506)) )).
% 13.06/13.31 cnf(matrix-3631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5506)) | ( _u5504 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5504, _u5506) = 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))) )).
% 13.06/13.31 cnf(matrix-3632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5506)) | ( _u5504 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u5504, _u5506) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5504), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5506)))) )).
% 13.06/13.31 cnf(matrix-3633, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5507)) | ( c_Divides_Odivmod__int(_u5505, _u5507) = c_Divides_OnegDivAlg(_u5505, _u5507)) )).
% 13.06/13.31 cnf(matrix-3634, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5507)) | ( c_Divides_Odivmod__int(_u5505, _u5507) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5505), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5507)))) )).
% 13.06/13.31 cnf(matrix-3635, 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), _u5508))) | ( 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), _u5508)) = 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), _u5508)))) )).
% 13.06/13.31 cnf(matrix-3636, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5511) != c_Code__Numeral_OSuc__code__numeral(_u5513)) | ( _u5511 = _u5513) )).
% 13.06/13.31 cnf(matrix-3637, plain, ( ( _u5512 != _u5514) | ( c_Code__Numeral_OSuc__code__numeral(_u5512) = c_Code__Numeral_OSuc__code__numeral(_u5514)) )).
% 13.06/13.31 cnf(matrix-3638, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5515, _u5516) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u5515, _u5516))) )).
% 13.06/13.31 cnf(matrix-3639, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5517) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 13.06/13.31 cnf(matrix-3640, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u5518)) )).
% 13.06/13.31 cnf(matrix-3641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5519)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5520), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5519, _u5520) = 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), _u5519), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5520))))) )).
% 13.06/13.31 cnf(matrix-3642, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5521, _u5522, _u5523, c_Code__Numeral_OSuc__code__numeral(_u5524)) = hAPP(_u5523, _u5524)) )).
% 13.06/13.31 cnf(matrix-3643, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5525), _u5526)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5525), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5526))) )).
% 13.06/13.31 cnf(matrix-3644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5527), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5528), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5527, _u5528) = 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), _u5527), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5528))))) )).
% 13.06/13.31 cnf(matrix-3645, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5529), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5530)), _u5531)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5529, _u5530), hAPP(c_Divides_OnegateSnd, _u5531))) )).
% 13.06/13.31 cnf(matrix-3646, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5532)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5532) )).
% 13.06/13.31 cnf(matrix-3647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5533), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5534)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5533, _u5534) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u5533, _u5534))) )).
% 13.06/13.31 cnf(matrix-3648, plain, ( ( _u5535 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u5536, _u5535), c_Divides_Odivmod__int(_u5536, _u5535))) )).
% 13.06/13.31 cnf(matrix-3649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5537)), 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), _u5537)) = 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), _u5537)))))) )).
% 13.06/13.31 cnf(matrix-3650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5539)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5538, _u5539) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u5538, _u5539))) )).
% 13.06/13.31 cnf(matrix-3651, plain, ( ( c_Divides_Odivmod__int(_u5540, _u5541) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5540), _u5541)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5540, _u5541))) )).
% 13.06/13.31 cnf(matrix-3652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5542, tc_HOL_Obool)), _u5543), _u5544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5542, tc_HOL_Obool)), _u5544), _u5543)) | ( _u5543 = _u5544) )).
% 13.06/13.31 cnf(matrix-3653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5545)), 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), _u5545)) = 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), _u5545)))))) )).
% 13.06/13.31 cnf(matrix-3654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5547), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5546), _u5547) = 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), _u5546), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5547))))) )).
% 13.06/13.31 cnf(matrix-3655, plain, ( ( _u5551 = _u5552) | ( hAPP(c_Product__Type_Osnd(_u5548, _u5549), hAPP(hAPP(c_Product__Type_OPair(_u5548, _u5549), _u5550), _u5551)) != _u5552) )).
% 13.06/13.31 cnf(matrix-3656, plain, ( ( hAPP(c_Product__Type_Osnd(_u5553, _u5554), hAPP(hAPP(c_Product__Type_OPair(_u5553, _u5554), _u5555), _u5556)) = _u5556) )).
% 13.06/13.31 cnf(matrix-3657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5558), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5557), _u5558) = 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), _u5557), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5558))))) )).
% 13.06/13.31 cnf(matrix-3658, plain, ( ( _u5563 != _u5565) | ( hAPP(c_Product__Type_Ofst(_u5567, _u5569), _u5563) = hAPP(c_Product__Type_Ofst(_u5567, _u5569), _u5565)) )).
% 13.06/13.31 cnf(matrix-3659, plain, ( ( _u5563 != _u5565) | ( hAPP(c_Product__Type_Osnd(_u5567, _u5569), _u5563) = hAPP(c_Product__Type_Osnd(_u5567, _u5569), _u5565)) )).
% 13.06/13.31 cnf(matrix-3660, plain, ( ( hAPP(c_Product__Type_Ofst(_u5568, _u5570), _u5564) != hAPP(c_Product__Type_Ofst(_u5568, _u5570), _u5566)) | ( hAPP(c_Product__Type_Osnd(_u5568, _u5570), _u5564) != hAPP(c_Product__Type_Osnd(_u5568, _u5570), _u5566)) | ( _u5564 = _u5566) )).
% 13.06/13.31 cnf(matrix-3661, plain, ( ( hAPP(c_Product__Type_Ofst(_u5571, _u5572), _u5573) != hAPP(c_Product__Type_Ofst(_u5571, _u5572), _u5574)) | ( hAPP(c_Product__Type_Osnd(_u5571, _u5572), _u5573) != hAPP(c_Product__Type_Osnd(_u5571, _u5572), _u5574)) | ( _u5573 = _u5574) )).
% 13.06/13.31 cnf(matrix-3662, plain, ( ( hAPP(c_Product__Type_Ofst(_u5575, _u5576), hAPP(hAPP(c_Product__Type_OPair(_u5575, _u5576), _u5577), _u5578)) = _u5577) )).
% 13.06/13.31 cnf(matrix-3663, plain, ( ( _u5581 = _u5583) | ( hAPP(c_Product__Type_Ofst(_u5579, _u5580), hAPP(hAPP(c_Product__Type_OPair(_u5579, _u5580), _u5581), _u5582)) != _u5583) )).
% 13.06/13.31 cnf(matrix-3664, plain, ( ( _u5584 = hAPP(hAPP(c_Product__Type_OPair(_u5585, _u5586), hAPP(c_Product__Type_Ofst(_u5585, _u5586), _u5584)), hAPP(c_Product__Type_Osnd(_u5585, _u5586), _u5584))) )).
% 13.06/13.31 cnf(matrix-3665, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5587, _u5588), hAPP(c_Product__Type_Ofst(_u5587, _u5588), _u5589)), hAPP(c_Product__Type_Osnd(_u5587, _u5588), _u5589)) = _u5589) )).
% 13.06/13.31 cnf(matrix-3666, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5590), _u5591) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u5590, _u5591))) )).
% 13.06/13.31 cnf(matrix-3667, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5594), _u5595) != hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5596), _u5597)) | ( _u5594 = _u5596) )).
% 13.06/13.31 cnf(matrix-3668, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5594), _u5595) != hAPP(hAPP(c_Product__Type_OPair(_u5592, _u5593), _u5596), _u5597)) | ( _u5595 = _u5597) )).
% 13.06/13.31 cnf(matrix-3669, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5608), _u5610) != hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5612), _u5614)) | ( _u5608 = _u5612) )).
% 13.06/13.31 cnf(matrix-3670, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5608), _u5610) != hAPP(hAPP(c_Product__Type_OPair(_u5604, _u5606), _u5612), _u5614)) | ( _u5610 = _u5614) )).
% 13.06/13.31 cnf(matrix-3671, plain, ( ( _u5609 != _u5613) | ( _u5611 != _u5615) | ( hAPP(hAPP(c_Product__Type_OPair(_u5605, _u5607), _u5609), _u5611) = hAPP(hAPP(c_Product__Type_OPair(_u5605, _u5607), _u5613), _u5615)) )).
% 13.06/13.31 cnf(matrix-3672, plain, ( ~hBOOL(hAPP(_u5625, skolem91(_u5629, _u5627, _u5625))) | hBOOL(hAPP(_u5625, hAPP(hAPP(c_Product__Type_OPair(_u5627, _u5629), _u5618), _u5617))) )).
% 13.06/13.31 cnf(matrix-3673, plain, ( ~hBOOL(hAPP(_u5626, hAPP(hAPP(c_Product__Type_OPair(_u5628, _u5630), skolem92(_u5630, _u5628, _u5626)), skolem93(_u5630, _u5628, _u5626)))) | hBOOL(hAPP(_u5626, _u5621)) )).
% 13.06/13.31 cnf(matrix-3674, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5634, tc_HOL_Obool)), _u5636), _u5638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5634, tc_HOL_Obool)), _u5636), _u5638)) )).
% 13.06/13.31 cnf(matrix-3675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5634, tc_HOL_Obool)), _u5636), _u5638)) | ( _u5636 != _u5638) )).
% 13.06/13.31 cnf(matrix-3676, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5635, tc_HOL_Obool)), _u5637), _u5639)) | ( _u5637 = _u5639) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5635, tc_HOL_Obool)), _u5637), _u5639)) )).
% 13.06/13.31 cnf(matrix-3677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5643, tc_HOL_Obool)), _u5645), _u5647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5643, tc_HOL_Obool)), _u5645), _u5647)) | ( _u5645 = _u5647) )).
% 13.06/13.31 cnf(matrix-3678, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5644, tc_HOL_Obool)), _u5646), _u5648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5644, tc_HOL_Obool)), _u5646), _u5648)) )).
% 13.06/13.31 cnf(matrix-3679, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5644, tc_HOL_Obool)), _u5646), _u5648)) | ( _u5646 != _u5648) )).
% 13.06/13.31 cnf(matrix-3680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5649, tc_HOL_Obool)), _u5650), _u5651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5649, tc_HOL_Obool)), _u5650), _u5651)) )).
% 13.06/13.31 cnf(matrix-3681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5652, tc_HOL_Obool)), _u5653), _u5654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5652, tc_HOL_Obool)), _u5654), _u5655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5652, tc_HOL_Obool)), _u5653), _u5655)) )).
% 13.06/13.31 cnf(matrix-3682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5656, tc_HOL_Obool)), _u5657), _u5658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5656, tc_HOL_Obool)), _u5658), _u5659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5656, tc_HOL_Obool)), _u5657), _u5659)) )).
% 13.06/13.31 cnf(matrix-3683, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5660, tc_HOL_Obool)), _u5661), _u5661)) )).
% 13.06/13.31 cnf(matrix-3684, plain, ( ( _u5665 != _u5667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5669, tc_HOL_Obool)), _u5665), _u5667)) )).
% 13.06/13.31 cnf(matrix-3685, plain, ( ( _u5665 != _u5667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5669, tc_HOL_Obool)), _u5667), _u5665)) )).
% 13.06/13.31 cnf(matrix-3686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5670, tc_HOL_Obool)), _u5666), _u5668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5670, tc_HOL_Obool)), _u5668), _u5666)) | ( _u5666 = _u5668) )).
% 13.06/13.31 cnf(matrix-3687, plain, ( ( _u5671 != _u5672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5673, tc_HOL_Obool)), _u5671), _u5672)) )).
% 13.06/13.31 cnf(matrix-3688, plain, ( ( _u5674 != _u5675) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5676, tc_HOL_Obool)), _u5675), _u5674)) )).
% 13.06/13.31 cnf(matrix-3689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5677, tc_HOL_Obool)), _u5678), _u5679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5677, tc_HOL_Obool)), _u5679), _u5680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5677, tc_HOL_Obool)), _u5678), _u5680)) )).
% 13.06/13.31 cnf(matrix-3690, plain, ( ( _u5681 != _u5682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5683, tc_HOL_Obool)), _u5681), _u5682)) )).
% 13.06/13.31 cnf(matrix-3691, plain, ( ( _u5681 != _u5682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5683, tc_HOL_Obool)), _u5682), _u5681)) )).
% 13.06/13.31 cnf(matrix-3692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5687, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5687, tc_HOL_Obool)), _u5689)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5687, tc_HOL_Obool)), _u5691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5687, tc_HOL_Obool)), _u5691), _u5689)) )).
% 13.06/13.31 cnf(matrix-3693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5688, tc_HOL_Obool)), _u5692), _u5690)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5688, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5688, tc_HOL_Obool)), _u5690)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5688, tc_HOL_Obool)), _u5692))) )).
% 13.06/13.31 cnf(matrix-3694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5693, tc_HOL_Obool)), _u5694), _u5695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5693, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5693, tc_HOL_Obool)), _u5695)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5693, tc_HOL_Obool)), _u5694))) )).
% 13.06/13.31 cnf(matrix-3695, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5696, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5696, tc_HOL_Obool)), _u5697), _u5698)), _u5697)) )).
% 13.06/13.31 cnf(matrix-3696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5699, tc_HOL_Obool)), _u5700), _u5701)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5699, tc_HOL_Obool)), _u5702), _u5703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5699, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5699, tc_HOL_Obool)), _u5700), _u5703)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5699, tc_HOL_Obool)), _u5701), _u5702))) )).
% 13.06/13.31 cnf(matrix-3697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5704, tc_HOL_Obool)), _u5705), _u5706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5704, tc_HOL_Obool)), _u5706), _u5707)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5704, tc_HOL_Obool)), _u5706), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5704, tc_HOL_Obool)), _u5707), _u5705)) = _u5705) )).
% 13.06/13.31 cnf(matrix-3698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5708), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5709)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5708), _u5709) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u5708, _u5709))) )).
% 13.06/13.31 cnf(matrix-3699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5711)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5710), _u5711) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u5710, _u5711))) )).
% 13.06/13.31 cnf(matrix-3700, 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), _u5712))) | ( 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), _u5712)) = 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), _u5712)))) )).
% 13.06/13.31 cnf(matrix-3701, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u5713, _u5714, _u5715, _u5716, _u5717) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u5715, hAPP(c_Product__Type_Ofst(_u5713, _u5714), _u5717))), hAPP(_u5716, hAPP(c_Product__Type_Osnd(_u5713, _u5714), _u5717)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.31 cnf(matrix-3702, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u5718, _u5719) = 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), _u5718), _u5719)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5718, _u5719))) )).
% 13.06/13.31 cnf(matrix-3703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5720), _u5721)) | ( c_Divides_Odivmod__nat(_u5721, _u5720) = 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), _u5721), _u5720)), _u5720))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5721), _u5720), _u5720))) )).
% 13.06/13.31 cnf(matrix-3704, plain, ( ~hBOOL(hAPP(_u5722, _u5723)) | ~hBOOL(hAPP(_u5724, _u5725)) | hBOOL(hAPP(_u5722, hAPP(c_Product__Type_Ofst(_u5726, _u5727), hAPP(hAPP(c_Product__Type_OPair(_u5726, _u5727), _u5723), _u5725)))) )).
% 13.06/13.31 cnf(matrix-3705, plain, ( ~hBOOL(hAPP(_u5722, _u5723)) | ~hBOOL(hAPP(_u5724, _u5725)) | hBOOL(hAPP(_u5724, hAPP(c_Product__Type_Osnd(_u5726, _u5727), hAPP(hAPP(c_Product__Type_OPair(_u5726, _u5727), _u5723), _u5725)))) )).
% 13.06/13.31 cnf(matrix-3706, plain, ( ~hBOOL(hAPP(hAPP(_u5728, _u5729), _u5730)) | hBOOL(hAPP(hAPP(_u5728, hAPP(c_Product__Type_Osnd(_u5731, _u5732), hAPP(hAPP(c_Product__Type_OPair(_u5731, _u5732), _u5730), _u5729))), hAPP(c_Product__Type_Ofst(_u5731, _u5732), hAPP(hAPP(c_Product__Type_OPair(_u5731, _u5732), _u5730), _u5729)))) )).
% 13.06/13.31 cnf(matrix-3707, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5733), _u5734) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u5733, _u5734))) )).
% 13.06/13.31 cnf(matrix-3708, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5735, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5735, tc_HOL_Obool)), _u5736)) = _u5736) )).
% 13.06/13.31 cnf(matrix-3709, plain, ( ( _u5742 = _u5744) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5740, tc_HOL_Obool)), _u5742) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5740, tc_HOL_Obool)), _u5744)) )).
% 13.06/13.31 cnf(matrix-3710, plain, ( ( _u5743 != _u5745) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5741, tc_HOL_Obool)), _u5743) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5741, tc_HOL_Obool)), _u5745)) )).
% 13.06/13.31 cnf(matrix-3711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5746, tc_HOL_Obool)), _u5747), _u5748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5746, tc_HOL_Obool)), _u5748), _u5749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5746, tc_HOL_Obool)), _u5747), _u5749)) )).
% 13.06/13.31 cnf(matrix-3712, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5750, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5750, tc_HOL_Obool)), _u5751), _u5752)), _u5752) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5750, tc_HOL_Obool)), _u5751), _u5752)) )).
% 13.06/13.31 cnf(matrix-3713, plain, ( ( c_Divides_Odivmod__nat(_u5753, 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)), _u5753)) )).
% 13.06/13.31 cnf(matrix-3714, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5754, _u5755) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u5754, _u5755))) )).
% 13.06/13.31 cnf(matrix-3715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5756), _u5757)) | ( c_Divides_Odivmod__nat(_u5756, _u5757) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5756)) )).
% 13.06/13.31 cnf(matrix-3716, plain, ( ( c_Divides_Odivmod__nat(_u5758, _u5759) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5758), _u5759)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5758, _u5759))) )).
% 13.06/13.31 cnf(matrix-3717, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5760, _u5761), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5762), _u5763))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5764)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5760, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5761), _u5764)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5762), _u5764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5761), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5762, _u5764))), _u5763)))) )).
% 13.06/13.31 cnf(matrix-3718, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5765, _u5766), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5767), _u5768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5766)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), _u5765), _u5766), 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), _u5769), _u5767)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), _u5768)), _u5766))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), _u5768), _u5766)))) )).
% 13.06/13.31 cnf(matrix-3719, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5770, _u5771), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5772), _u5773))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5774, _u5771), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5775), _u5776))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5771)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5770), _u5774), _u5771), 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), _u5772), _u5775)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5773), _u5776)), _u5771))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5773), _u5776), _u5771)))) )).
% 13.06/13.31 cnf(matrix-3720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u5777)) | 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(_u5777), _u5778))), _u5777)) )).
% 13.06/13.31 cnf(matrix-3721, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5782 = 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), _u5786)), _u5784)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786))) )).
% 13.06/13.31 cnf(matrix-3722, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5786) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3723, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | 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), _u5786))) )).
% 13.06/13.31 cnf(matrix-3724, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786)), _u5784)) )).
% 13.06/13.31 cnf(matrix-3725, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5784), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786))) )).
% 13.06/13.31 cnf(matrix-3726, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5782, _u5784), _u5786)) | ( _u5784 = 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)), _u5784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5786)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-3727, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( _u5785 = 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)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-3728, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( _u5785 = 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5785)) )).
% 13.06/13.31 cnf(matrix-3729, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( _u5785 = 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-3730, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5785 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3731, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != 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)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-3732, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5785)) )).
% 13.06/13.31 cnf(matrix-3733, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5783, _u5785), _u5787)) | ( _u5783 != 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), _u5787)), _u5785)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u5787) != 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), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), _u5785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u5787)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-3734, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5788, _u5789), _u5790)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5788, _u5789), _u5791)) | ( _u5790 = _u5791) )).
% 13.06/13.31 cnf(matrix-3735, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5792, _u5793), c_Divides_Odivmod__nat(_u5792, _u5793))) )).
% 13.06/13.31 cnf(matrix-3736, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5794, _u5795), _u5796)) | ( c_Divides_Odivmod__nat(_u5794, _u5795) = _u5796) )).
% 13.06/13.31 cnf(matrix-3737, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5797, _u5798), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5799), _u5800))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5797, _u5798) = _u5800) )).
% 13.06/13.31 cnf(matrix-3738, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5801, _u5802), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u5803), _u5804))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5801), _u5802) = _u5803) )).
% 13.06/13.31 cnf(matrix-3739, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u5805, _u5806), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5805), _u5806)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5805, _u5806)))) )).
% 13.06/13.31 cnf(matrix-3740, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u5807, _u5808, _u5809, _u5810, hAPP(hAPP(c_Product__Type_OPair(_u5807, _u5808), _u5811), _u5812)) = hAPP(hAPP(_u5810, _u5811), _u5812)) )).
% 13.06/13.31 cnf(matrix-3741, plain, ( ( hAPP(c_Divides_Oadjust(_u5813), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5814), _u5815)) = 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), _u5815), _u5813)), 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)))), _u5814)), 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)))), _u5814)), _u5815)))) )).
% 13.06/13.31 cnf(matrix-3742, plain, ( ( _u5821 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u5823, _u5825, _u5821, _u5827), _u5829) = hAPP(c_Product__Type_OPair(_u5823, _u5825), _u5829)) )).
% 13.06/13.31 cnf(matrix-3743, plain, ( ( _u5822 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u5824, _u5826, _u5822, _u5828), _u5830) = hAPP(hAPP(c_Product__Type_Oscomp(_u5826, _u5824, _u5826, tc_prod(_u5824, _u5826)), hAPP(_u5828, _u5830)), c_Random_Oiterate(_u5824, _u5826, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5822), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u5828))) )).
% 13.06/13.31 cnf(matrix-3744, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 13.06/13.31 cnf(matrix-3745, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5831), _u5832) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5831), _u5832)) )).
% 13.06/13.31 cnf(matrix-3746, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u5833, _u5834, _u5835, _u5836), _u5837), _u5838), _u5839) = hAPP(hAPP(_u5838, hAPP(c_Product__Type_Ofst(_u5834, _u5835), hAPP(_u5837, _u5839))), hAPP(c_Product__Type_Osnd(_u5834, _u5835), hAPP(_u5837, _u5839)))) )).
% 13.06/13.31 cnf(matrix-3747, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u5840, _u5841, _u5842, _u5843), hAPP(hAPP(c_Product__Type_Oscomp(_u5840, _u5844, _u5845, tc_prod(_u5841, _u5842)), _u5846), _u5847)), _u5848) = hAPP(hAPP(c_Product__Type_Oscomp(_u5840, _u5844, _u5845, _u5843), _u5846), hAPP(hAPP(c_COMBC(_u5844, tc_fun(_u5841, tc_fun(_u5842, _u5843)), tc_fun(_u5845, _u5843)), hAPP(hAPP(c_COMBB(tc_fun(_u5845, tc_prod(_u5841, _u5842)), tc_fun(tc_fun(_u5841, tc_fun(_u5842, _u5843)), tc_fun(_u5845, _u5843)), _u5844), c_Product__Type_Oscomp(_u5845, _u5841, _u5842, _u5843)), _u5847)), _u5848))) )).
% 13.06/13.31 cnf(matrix-3748, plain, ( ~class_Groups_Ouminus(_u5849) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5850, _u5849)), _u5851), _u5852) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5849), hAPP(_u5851, _u5852))) )).
% 13.06/13.31 cnf(matrix-3749, plain, ( ~class_Groups_Ominus(_u5853) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5854, _u5853)), _u5855), _u5856), _u5857) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5853), hAPP(_u5855, _u5857)), hAPP(_u5856, _u5857))) )).
% 13.06/13.31 cnf(matrix-3750, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5858) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5858))) )).
% 13.06/13.31 cnf(matrix-3751, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5859)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5859)), 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)))) )).
% 13.06/13.31 cnf(matrix-3752, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u5860, _u5861, _u5862, tc_prod(_u5861, _u5862)), _u5863), c_Product__Type_OPair(_u5861, _u5862)) = _u5863) )).
% 13.06/13.31 cnf(matrix-3753, plain, ( ~class_Int_Onumber__ring(_u5864) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5864), _u5865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5866))) = hAPP(hAPP(c_HOL_OLet(_u5864, _u5864), hAPP(hAPP(c_Power_Opower__class_Opower(_u5864), _u5865), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5866))), hAPP(hAPP(c_COMBS(_u5864, _u5864, _u5864), c_Groups_Otimes__class_Otimes(_u5864)), c_COMBI(_u5864)))) )).
% 13.06/13.31 cnf(matrix-3754, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5867), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5868))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5867), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5868))), 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)))) )).
% 13.06/13.31 cnf(matrix-3755, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u5869, _u5870, _u5869, _u5871), hAPP(c_Product__Type_OPair(_u5870, _u5869), _u5872)), _u5873) = hAPP(_u5873, _u5872)) )).
% 13.06/13.31 cnf(matrix-3756, plain, ( ~class_Int_Onumber__ring(_u5874) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5874), hAPP(c_Int_Onumber__class_Onumber__of(_u5874), _u5875)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5876))) = hAPP(hAPP(c_HOL_OLet(_u5874, _u5874), hAPP(hAPP(c_Power_Opower__class_Opower(_u5874), hAPP(c_Int_Onumber__class_Onumber__of(_u5874), _u5875)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5876))), hAPP(hAPP(c_COMBS(_u5874, _u5874, _u5874), c_Groups_Otimes__class_Otimes(_u5874)), c_COMBI(_u5874)))) )).
% 13.06/13.31 cnf(matrix-3757, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5881)), hAPP(c_Int_Onat, _u5879)) = hAPP(c_Int_Onat, _u5881)) )).
% 13.06/13.31 cnf(matrix-3758, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5880)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5882)), hAPP(c_Int_Onat, _u5880)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5882), _u5880)), 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))) )).
% 13.06/13.31 cnf(matrix-3759, plain, ( ~class_Rings_Osemiring__1(_u5883) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5883), _u5884) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5883, hAPP(hAPP(c_COMBC(_u5883, _u5883, _u5883), c_Groups_Oplus__class_Oplus(_u5883)), c_Groups_Oone__class_Oone(_u5883)), _u5884, c_Groups_Ozero__class_Ozero(_u5883))) )).
% 13.06/13.31 cnf(matrix-3760, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5887) != hAPP(c_Nat_OSuc, _u5889)) | 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(_u5887))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5889))))) )).
% 13.06/13.31 cnf(matrix-3761, 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(_u5888))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5890))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5888) = hAPP(c_Nat_OSuc, _u5890)) )).
% 13.06/13.31 cnf(matrix-3762, plain, ( ( hAPP(c_Nat_OSuc, _u5893) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5895)) | 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(_u5895))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5893))))) )).
% 13.06/13.31 cnf(matrix-3763, 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(_u5896))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5894))))) | ( hAPP(c_Nat_OSuc, _u5894) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5896)) )).
% 13.06/13.31 cnf(matrix-3764, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5898))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5898)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3765, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5899))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5899)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5899)), 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))))) )).
% 13.06/13.31 cnf(matrix-3766, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5902)), hAPP(c_Nat_OSuc, _u5904))) | 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(_u5902))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5904)))) )).
% 13.06/13.31 cnf(matrix-3767, 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(_u5903))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5905)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5903)), hAPP(c_Nat_OSuc, _u5905))) )).
% 13.06/13.31 cnf(matrix-3768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5908)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5910))) | 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(_u5910))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5908)), c_Int_Onat))))) )).
% 13.06/13.31 cnf(matrix-3769, 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(_u5911))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5909)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5909)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5911))) )).
% 13.06/13.31 cnf(matrix-3770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5914)), hAPP(c_Nat_OSuc, _u5916))) | 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(_u5914))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5916)))) )).
% 13.06/13.31 cnf(matrix-3771, 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(_u5915))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u5917)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5915)), hAPP(c_Nat_OSuc, _u5917))) )).
% 13.06/13.31 cnf(matrix-3772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5922))) | 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(_u5922))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5920)), c_Int_Onat))))) )).
% 13.06/13.31 cnf(matrix-3773, 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(_u5923))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u5921)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5921)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5923))) )).
% 13.06/13.31 cnf(matrix-3774, plain, ( ~class_Int_Onumber__ring(_u5924) | ~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), _u5925))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5925))) = hAPP(hAPP(c_HOL_OLet(_u5924, _u5924), hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5925))), hAPP(hAPP(c_COMBS(_u5924, _u5924, _u5924), hAPP(hAPP(c_COMBB(_u5924, tc_fun(_u5924, _u5924), _u5924), c_Groups_Otimes__class_Otimes(_u5924)), hAPP(c_Groups_Otimes__class_Otimes(_u5924), _u5926))), c_COMBI(_u5924)))) )).
% 13.06/13.31 cnf(matrix-3775, plain, ( ~class_Int_Onumber__ring(_u5924) | 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), _u5925))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5925))) = c_Groups_Oone__class_Oone(_u5924)) )).
% 13.06/13.31 cnf(matrix-3776, 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), _u5929))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5931), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5929))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5931), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5929))), 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), _u5931))), c_COMBI(tc_Int_Oint)))) )).
% 13.06/13.31 cnf(matrix-3777, 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), _u5930))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5932), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5930))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3778, plain, ( ~class_Int_Onumber__ring(_u5933) | ~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), _u5934))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5934))) = hAPP(hAPP(c_HOL_OLet(_u5933, _u5933), hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5934))), hAPP(hAPP(c_COMBS(_u5933, _u5933, _u5933), hAPP(hAPP(c_COMBB(_u5933, tc_fun(_u5933, _u5933), _u5933), c_Groups_Otimes__class_Otimes(_u5933)), hAPP(c_Groups_Otimes__class_Otimes(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)))), c_COMBI(_u5933)))) )).
% 13.06/13.31 cnf(matrix-3779, plain, ( ~class_Int_Onumber__ring(_u5933) | 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), _u5934))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(c_Int_Onumber__class_Onumber__of(_u5933), _u5935)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5934))) = c_Groups_Oone__class_Oone(_u5933)) )).
% 13.06/13.31 cnf(matrix-3780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5938), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5940)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5938)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5940)) )).
% 13.06/13.31 cnf(matrix-3781, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5939), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5941)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5939)) = 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), _u5941), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5939)))), 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))) )).
% 13.06/13.31 cnf(matrix-3782, plain, ( ~class_Rings_Oring__1(_u5942) | ( _u5943 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5942), _u5943) = c_Groups_Ozero__class_Ozero(_u5942)) )).
% 13.06/13.31 cnf(matrix-3783, plain, ( ~class_Rings_Oring__1(_u5942) | ( _u5943 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5942), _u5943) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5942), hAPP(c_Int_Oring__1__class_Oof__int(_u5942), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5943)))) )).
% 13.06/13.31 cnf(matrix-3784, plain, ( ~class_Rings_Oring__1(_u5942) | ( _u5943 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5942), _u5943) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5942), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5942, _u5942)), tc_fun(tc_Int_Oint, _u5942)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5942, _u5942), _u5942), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5942, _u5942)), tc_fun(tc_Int_Oint, _u5942)), tc_Int_Oint), c_COMBB(tc_fun(_u5942, _u5942), _u5942, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5942, tc_fun(tc_fun(_u5942, _u5942), _u5942), tc_Int_Oint), c_HOL_OLet(_u5942, _u5942)), c_Int_Oring__1__class_Oof__int(_u5942)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5942, _u5942), tc_fun(_u5942, _u5942)), hAPP(hAPP(c_COMBB(tc_fun(_u5942, tc_fun(_u5942, _u5942)), tc_fun(tc_fun(_u5942, _u5942), tc_fun(_u5942, _u5942)), tc_Int_Oint), c_COMBS(_u5942, _u5942, _u5942)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5942, _u5942), tc_fun(_u5942, tc_fun(_u5942, _u5942))), hAPP(hAPP(c_COMBB(tc_fun(_u5942, tc_fun(_u5942, _u5942)), tc_fun(tc_fun(_u5942, _u5942), tc_fun(_u5942, tc_fun(_u5942, _u5942))), tc_Int_Oint), c_COMBB(_u5942, tc_fun(_u5942, _u5942), _u5942)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5942, tc_fun(_u5942, _u5942)), tc_Int_Oint), c_If(_u5942)), 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(_u5942, _u5942, _u5942), c_Groups_Oplus__class_Oplus(_u5942)), c_COMBI(_u5942))))), hAPP(hAPP(c_COMBC(_u5942, _u5942, _u5942), hAPP(hAPP(c_COMBB(_u5942, tc_fun(_u5942, _u5942), _u5942), c_Groups_Oplus__class_Oplus(_u5942)), hAPP(hAPP(c_COMBS(_u5942, _u5942, _u5942), c_Groups_Oplus__class_Oplus(_u5942)), c_COMBI(_u5942)))), c_Groups_Oone__class_Oone(_u5942))))), c_Divides_Odivmod__int(_u5943, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 13.06/13.31 cnf(matrix-3785, plain, ( ( c_Nat_Onat_Onat__case(_u5944, _u5945, _u5946, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5947)), _u5948)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5944), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5947))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5944, _u5944), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5944, tc_fun(_u5944, _u5944)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5944, tc_fun(_u5944, _u5944)), tc_Int_Oint), c_If(_u5944)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5944, _u5945, _u5946, _u5948))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5944, tc_Int_Oint), _u5946), 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)), _u5948))))) )).
% 13.06/13.31 cnf(matrix-3786, plain, ( ( c_Divides_Oadjust(_u5949) = 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)), _u5949))))), 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)), _u5949))))), 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)))))))) )).
% 13.06/13.31 cnf(matrix-3787, plain, ( ( c_Nat_Onat_Onat__case(_u5950, _u5951, _u5952, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5953)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5953))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5950, _u5950), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5950, tc_fun(_u5950, _u5950)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5950, tc_fun(_u5950, _u5950)), tc_Int_Oint), c_If(_u5950)), c_Nat__Numeral_Oneg)), _u5951)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5950, tc_Int_Oint), _u5952), c_Int_Onat)))) )).
% 13.06/13.31 cnf(matrix-3788, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5954, _u5955, _u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5957)), _u5958)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5957))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5954, _u5954), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5954, tc_fun(_u5954, _u5954)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5954, tc_fun(_u5954, _u5954)), tc_Int_Oint), c_If(_u5954)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5954, _u5955, _u5956), _u5958))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5954, _u5954), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5954, _u5954), tc_Int_Oint), _u5956), 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)), _u5958))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5954, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5954, _u5955, _u5956)), 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)), _u5958)))))) )).
% 13.06/13.31 cnf(matrix-3789, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5959, _u5960, _u5961), _u5962), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5963, _u5964, tc_prod(_u5959, _u5960)), _u5965), _u5966)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5963, _u5964, _u5961), hAPP(hAPP(c_COMBB(tc_fun(_u5964, tc_prod(_u5959, _u5960)), tc_fun(_u5964, _u5961), _u5963), hAPP(c_COMBB(tc_prod(_u5959, _u5960), _u5961, _u5964), hAPP(c_Product__Type_Oprod_Oprod__case(_u5959, _u5960, _u5961), _u5962))), _u5965)), _u5966)) )).
% 13.06/13.31 cnf(matrix-3790, plain, ( ( _u5967 != _u5968) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5969, _u5970, _u5971), _u5972), _u5967) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5969, _u5970, _u5971), _u5972), _u5968)) )).
% 13.06/13.31 cnf(matrix-3791, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5973, _u5974, _u5975), _u5976), hAPP(hAPP(c_Product__Type_OPair(_u5973, _u5974), _u5977), _u5978)) = hAPP(hAPP(_u5976, _u5977), _u5978)) )).
% 13.06/13.31 cnf(matrix-3792, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5979, _u5980, _u5981), _u5982), hAPP(hAPP(c_Product__Type_OPair(_u5979, _u5980), _u5983), _u5984)) = hAPP(hAPP(_u5982, _u5983), _u5984)) )).
% 13.06/13.31 cnf(matrix-3793, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u5985, _u5986, _u5987, _u5988), _u5989), _u5990), _u5991) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5986, _u5987, _u5988), _u5990), hAPP(_u5989, _u5991))) )).
% 13.06/13.31 cnf(matrix-3794, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u5992, _u5993, _u5994), hAPP(hAPP(c_COMBB(tc_fun(_u5993, tc_prod(_u5992, _u5993)), tc_fun(_u5993, _u5994), _u5992), hAPP(c_COMBB(tc_prod(_u5992, _u5993), _u5994, _u5993), _u5995)), c_Product__Type_OPair(_u5992, _u5993))) = _u5995) )).
% 13.06/13.31 cnf(matrix-3795, plain, ( ( hAPP(c_Product__Type_Ofst(_u5996, _u5997), _u5998) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5996, _u5997, _u5996), c_COMBK(_u5996, _u5997)), _u5998)) )).
% 13.06/13.31 cnf(matrix-3796, plain, ( ( hAPP(c_Product__Type_Osnd(_u5999, _u6000), _u6001) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u5999, _u6000, _u6000), hAPP(c_COMBK(tc_fun(_u6000, _u6000), _u5999), c_COMBI(_u6000))), _u6001)) )).
% 13.06/13.31 cnf(matrix-3797, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u6002, _u6003, _u6004, _u6005), _u6006), _u6007), _u6008) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6003, _u6004, _u6005), _u6007), hAPP(_u6006, _u6008))) )).
% 13.06/13.31 cnf(matrix-3798, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u6009, _u6010, _u6011), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6010) )).
% 13.06/13.31 cnf(matrix-3799, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u6012, _u6013, _u6014), hAPP(c_Nat_OSuc, _u6015)) = hAPP(hAPP(_u6014, _u6015), hAPP(c_Nat_Onat_Onat__rec(_u6012, _u6013, _u6014), _u6015))) )).
% 13.06/13.31 cnf(matrix-3800, plain, ( ( c_Nat_Onat_Onat__case(_u6016, _u6017, _u6018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6017) )).
% 13.06/13.31 cnf(matrix-3801, plain, ( ( c_Nat_Onat_Onat__case(_u6019, _u6020, _u6021, hAPP(c_Nat_OSuc, _u6022)) = hAPP(_u6021, _u6022)) )).
% 13.06/13.31 cnf(matrix-3802, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6023, _u6024, _u6025), _u6026), _u6027) = hAPP(hAPP(_u6026, hAPP(c_Product__Type_Ofst(_u6023, _u6024), _u6027)), hAPP(c_Product__Type_Osnd(_u6023, _u6024), _u6027))) )).
% 13.06/13.31 cnf(matrix-3803, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6028, _u6029, _u6030), _u6031), _u6032) = hAPP(hAPP(_u6031, hAPP(c_Product__Type_Ofst(_u6028, _u6029), _u6032)), hAPP(c_Product__Type_Osnd(_u6028, _u6029), _u6032))) )).
% 13.06/13.31 cnf(matrix-3804, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6033, _u6034), _u6034, _u6035), hAPP(hAPP(c_COMBB(_u6036, tc_fun(_u6034, _u6035), tc_prod(_u6033, _u6034)), _u6037), hAPP(hAPP(c_COMBB(_u6033, _u6036, tc_prod(_u6033, _u6034)), _u6038), c_Product__Type_Ofst(_u6033, _u6034)))), c_Product__Type_Osnd(_u6033, _u6034)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6033, _u6034, _u6035), hAPP(hAPP(c_COMBB(_u6036, tc_fun(_u6034, _u6035), _u6033), _u6037), _u6038))) )).
% 13.06/13.31 cnf(matrix-3805, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6039, _u6040, _u6041), _u6042), _u6043) = hAPP(hAPP(_u6042, hAPP(c_Product__Type_Ofst(_u6039, _u6040), _u6043)), hAPP(c_Product__Type_Osnd(_u6039, _u6040), _u6043))) )).
% 13.06/13.31 cnf(matrix-3806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6046)), _u6048)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6046), _u6048)) )).
% 13.06/13.31 cnf(matrix-3807, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6047), _u6049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6047)), _u6049)) )).
% 13.06/13.31 cnf(matrix-3808, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6050), hAPP(c_Nat_OSuc, _u6051)) = 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), _u6050), _u6051))) )).
% 13.06/13.31 cnf(matrix-3809, plain, ( ( c_Divides_Odivmod__int__rel(_u6052, _u6053) = 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, _u6052))), 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), _u6053)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6053))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u6053))))), 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)), _u6053)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u6053))), 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)))))))) )).
% 13.06/13.31 cnf(matrix-3810, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u6054, _u6055, _u6056), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6057)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6054), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6057))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u6054, _u6054), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u6054, tc_fun(_u6054, _u6054)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6054, tc_fun(_u6054, _u6054)), tc_Int_Oint), c_If(_u6054)), c_Nat__Numeral_Oneg)), _u6055)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u6054, _u6054), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u6054, _u6054), tc_Int_Oint), _u6056), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u6054, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u6054, _u6055, _u6056)), c_Int_Onat))))) )).
% 13.06/13.31 cnf(matrix-3811, plain, ( ( _u6060 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6060, _u6062) = 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))) )).
% 13.06/13.31 cnf(matrix-3812, plain, ( ( _u6061 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6063 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6061, _u6063) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6061)) )).
% 13.06/13.31 cnf(matrix-3813, plain, ( ( _u6061 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6063 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6061, _u6063) = 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, _u6063))), 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)), _u6063)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6061))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6063), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6061), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u6061, _u6063)), 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), _u6063))))), c_Divides_Opdivmod(_u6061, _u6063))))) )).
% 13.06/13.31 cnf(matrix-3814, plain, ( ( _u6066 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6066, _u6068) = 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))) )).
% 13.06/13.31 cnf(matrix-3815, plain, ( ( _u6067 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6069 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6067, _u6069) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6067)) )).
% 13.06/13.31 cnf(matrix-3816, plain, ( ( _u6067 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6069 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6067, _u6069) = 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, _u6069))), 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, _u6067)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6069))), c_Divides_Opdivmod(_u6067, _u6069)), 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), _u6069))))), c_Divides_Opdivmod(_u6067, _u6069))))) )).
% 13.06/13.31 cnf(matrix-3817, plain, ( ( c_Hoare__Mirabelle_OMGT(_u6070) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u6070), c_Natural_Oevalc(_u6070))) )).
% 13.06/13.31 cnf(matrix-3818, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6071)), hAPP(c_Nat_OSuc, _u6072)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6071))), 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)), _u6072))))) )).
% 13.06/13.31 cnf(matrix-3819, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6073)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6074)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6074))), 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), _u6073)), c_Int_Onat))))) )).
% 13.06/13.31 cnf(matrix-3820, plain, ( ~hBOOL(hAPP(hAPP(_u6075, _u6076), _u6077)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6078, _u6079, tc_HOL_Obool), _u6075), hAPP(hAPP(c_Product__Type_OPair(_u6078, _u6079), _u6076), _u6077))) )).
% 13.06/13.31 cnf(matrix-3821, plain, ( ~hBOOL(hAPP(hAPP(_u6080, _u6081), _u6082)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6083, _u6084, tc_HOL_Obool), _u6080), hAPP(hAPP(c_Product__Type_OPair(_u6083, _u6084), _u6081), _u6082))) )).
% 13.06/13.31 cnf(matrix-3822, plain, ( hBOOL(hAPP(hAPP(_u6087, _u6088), _u6089)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6085, _u6086, tc_HOL_Obool), _u6087), hAPP(hAPP(c_Product__Type_OPair(_u6085, _u6086), _u6088), _u6089))) )).
% 13.06/13.31 cnf(matrix-3823, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6090), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3824, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6091) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3825, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6092)), hAPP(c_Nat_OSuc, _u6093)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6092), _u6093))) )).
% 13.06/13.31 cnf(matrix-3826, plain, ( ~class_Groups_Oordered__ab__group__add(_u6094) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6094), _u6095), _u6096)), _u6097) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), _u6095), _u6097)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6094), _u6096), _u6097))) )).
% 13.06/13.31 cnf(matrix-3827, plain, ( ~class_Orderings_Olinorder(_u6098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6098), _u6100), _u6101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), _u6100)) )).
% 13.06/13.31 cnf(matrix-3828, plain, ( ~class_Orderings_Olinorder(_u6098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6098), _u6100), _u6101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), _u6099), _u6101)) )).
% 13.06/13.31 cnf(matrix-3829, plain, ( ~class_Orderings_Olinorder(_u6102) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6102), _u6103), _u6104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6102), _u6105), _u6106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6102), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6102), _u6103), _u6105)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6102), _u6104), _u6106))) )).
% 13.06/13.31 cnf(matrix-3830, plain, ( ~class_Orderings_Olinorder(_u6107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6107), _u6108), _u6109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6107), _u6108), _u6110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6107), _u6108), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6107), _u6109), _u6110))) )).
% 13.06/13.31 cnf(matrix-3831, plain, ( ~class_Orderings_Olinorder(_u6111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6111), _u6112), _u6113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6111), _u6112), _u6114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6111), _u6112), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6111), _u6113), _u6114))) )).
% 13.06/13.31 cnf(matrix-3832, plain, ( ~class_Orderings_Olinorder(_u6115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6115), _u6116), _u6117)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6115), _u6117), _u6116) = _u6116) )).
% 13.06/13.31 cnf(matrix-3833, plain, ( ~class_Orderings_Olinorder(_u6118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6118), _u6119), _u6120)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6118), _u6119), _u6120) = _u6119) )).
% 13.06/13.31 cnf(matrix-3834, plain, ( ~class_Orderings_Olinorder(_u6121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6121), _u6122), _u6123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6121), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6121), _u6124), _u6122)), _u6123)) )).
% 13.06/13.31 cnf(matrix-3835, plain, ( ~class_Orderings_Olinorder(_u6125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6125), _u6126), _u6127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6125), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6125), _u6126), _u6128)), _u6127)) )).
% 13.06/13.31 cnf(matrix-3836, plain, ( ~class_Orderings_Olinorder(_u6129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6129), _u6131), _u6132))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6131)) )).
% 13.06/13.31 cnf(matrix-3837, plain, ( ~class_Orderings_Olinorder(_u6129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6129), _u6131), _u6132))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6132)) )).
% 13.06/13.31 cnf(matrix-3838, plain, ( ~class_Orderings_Olinorder(_u6129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), _u6132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6129), _u6130), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6129), _u6131), _u6132))) )).
% 13.06/13.31 cnf(matrix-3839, plain, ( ~class_Orderings_Olinorder(_u6133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6133), _u6134), _u6135)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6133), _u6134), _u6135) = _u6134) )).
% 13.06/13.31 cnf(matrix-3840, plain, ( ~class_Orderings_Olinorder(_u6133) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6133), _u6134), _u6135) != _u6134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6133), _u6134), _u6135)) )).
% 13.06/13.31 cnf(matrix-3841, plain, ( ~class_Orderings_Olinorder(_u6136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6136), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6136), _u6137), _u6138)), _u6138)) )).
% 13.06/13.31 cnf(matrix-3842, plain, ( ~class_Orderings_Olinorder(_u6139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6139), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6139), _u6140), _u6141)), _u6140)) )).
% 13.06/13.31 cnf(matrix-3843, plain, ( ~class_Orderings_Olinorder(_u6142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6142), _u6143), _u6144)), _u6145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6143), _u6145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6144), _u6145)) )).
% 13.06/13.31 cnf(matrix-3844, plain, ( ~class_Orderings_Olinorder(_u6142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6142), _u6143), _u6144)), _u6145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6143), _u6145)) )).
% 13.06/13.31 cnf(matrix-3845, plain, ( ~class_Orderings_Olinorder(_u6142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6142), _u6143), _u6144)), _u6145)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6142), _u6144), _u6145)) )).
% 13.06/13.31 cnf(matrix-3846, plain, ( ~class_Orderings_Olinorder(_u6146) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), _u6147), _u6148)), _u6149) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), _u6147), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6146), _u6148), _u6149))) )).
% 13.06/13.31 cnf(matrix-3847, plain, ( ~class_Orderings_Olinorder(_u6150) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), _u6151), _u6152)), _u6153) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), _u6151), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6150), _u6152), _u6153))) )).
% 13.06/13.31 cnf(matrix-3848, plain, ( ~class_Orderings_Olinorder(_u6154) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6155), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6156), _u6157)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6156), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6154), _u6155), _u6157))) )).
% 13.06/13.31 cnf(matrix-3849, plain, ( ~class_Orderings_Olinorder(_u6158) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6159), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6160), _u6161)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6160), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6158), _u6159), _u6161))) )).
% 13.06/13.31 cnf(matrix-3850, plain, ( ~class_Orderings_Olinorder(_u6162) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6162), _u6163), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6162), _u6163), _u6164)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6162), _u6163), _u6164)) )).
% 13.06/13.31 cnf(matrix-3851, plain, ( ~class_Orderings_Olinorder(_u6165) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6165), _u6166), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6165), _u6166), _u6167)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6165), _u6166), _u6167)) )).
% 13.06/13.31 cnf(matrix-3852, plain, ( ~class_Orderings_Olinorder(_u6168) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6168), _u6169), _u6170) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6168), _u6170), _u6169)) )).
% 13.06/13.31 cnf(matrix-3853, plain, ( ~class_Orderings_Olinorder(_u6171) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6171), _u6172), _u6173) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6171), _u6173), _u6172)) )).
% 13.06/13.31 cnf(matrix-3854, plain, ( ~class_Orderings_Olinorder(_u6174) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6174), _u6175), _u6175) = _u6175) )).
% 13.06/13.31 cnf(matrix-3855, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6176) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6176), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6176), _u6177), _u6178)), _u6179) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6176), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6176), _u6177), _u6179)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6176), _u6178), _u6179))) )).
% 13.06/13.31 cnf(matrix-3856, plain, ( ~class_Orderings_Olinorder(_u6180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6180), _u6181), _u6182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6180), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6180), _u6181), _u6183)), _u6182)) )).
% 13.06/13.31 cnf(matrix-3857, plain, ( ~class_Orderings_Olinorder(_u6184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6184), _u6185), _u6186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6184), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6184), _u6187), _u6185)), _u6186)) )).
% 13.06/13.31 cnf(matrix-3858, plain, ( ~class_Orderings_Olinorder(_u6188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6188), _u6189), _u6190)), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6189), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6190), _u6191)) )).
% 13.06/13.31 cnf(matrix-3859, plain, ( ~class_Orderings_Olinorder(_u6188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6188), _u6189), _u6190)), _u6191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6189), _u6191)) )).
% 13.06/13.31 cnf(matrix-3860, plain, ( ~class_Orderings_Olinorder(_u6188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6188), _u6189), _u6190)), _u6191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6188), _u6190), _u6191)) )).
% 13.06/13.31 cnf(matrix-3861, plain, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6194)) )).
% 13.06/13.31 cnf(matrix-3862, plain, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6195)) )).
% 13.06/13.31 cnf(matrix-3863, plain, ( ~class_Orderings_Olinorder(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), _u6195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6192), _u6193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6192), _u6194), _u6195))) )).
% 13.06/13.31 cnf(matrix-3864, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6196), _u6197)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6198), _u6197)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6196), _u6198)), _u6197)) )).
% 13.06/13.31 cnf(matrix-3865, plain, ( hBOOL(hAPP(hAPP(hAPP(_u6202, _u6203), _u6204), _u6205)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6199, _u6200, tc_fun(_u6201, tc_HOL_Obool)), _u6202), hAPP(hAPP(c_Product__Type_OPair(_u6199, _u6200), _u6203), _u6204)), _u6205)) )).
% 13.06/13.31 cnf(matrix-3866, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6206, _u6207, _u6208, _u6209), hAPP(hAPP(c_Product__Type_OPair(_u6208, _u6206), _u6210), _u6211)) = hAPP(hAPP(c_Product__Type_OPair(_u6208, _u6207), _u6210), hAPP(_u6209, _u6211))) )).
% 13.06/13.31 cnf(matrix-3867, plain, ( ( hAPP(c_Product__Type_Ofst(_u6212, _u6213), hAPP(c_Product__Type_Oapsnd(_u6214, _u6213, _u6212, _u6215), _u6216)) = hAPP(c_Product__Type_Ofst(_u6212, _u6214), _u6216)) )).
% 13.06/13.31 cnf(matrix-3868, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6223, _u6225, _u6227, _u6229), _u6231) != hAPP(c_Product__Type_Oapsnd(_u6223, _u6225, _u6227, _u6233), _u6231)) | ( hAPP(_u6229, hAPP(c_Product__Type_Osnd(_u6227, _u6223), _u6231)) = hAPP(_u6233, hAPP(c_Product__Type_Osnd(_u6227, _u6223), _u6231))) )).
% 13.06/13.31 cnf(matrix-3869, plain, ( ( hAPP(_u6230, hAPP(c_Product__Type_Osnd(_u6228, _u6224), _u6232)) != hAPP(_u6234, hAPP(c_Product__Type_Osnd(_u6228, _u6224), _u6232))) | ( hAPP(c_Product__Type_Oapsnd(_u6224, _u6226, _u6228, _u6230), _u6232) = hAPP(c_Product__Type_Oapsnd(_u6224, _u6226, _u6228, _u6234), _u6232)) )).
% 13.06/13.31 cnf(matrix-3870, plain, ( ( hAPP(c_Product__Type_Osnd(_u6235, _u6236), hAPP(c_Product__Type_Oapsnd(_u6237, _u6236, _u6235, _u6238), _u6239)) = hAPP(_u6238, hAPP(c_Product__Type_Osnd(_u6235, _u6237), _u6239))) )).
% 13.06/13.31 cnf(matrix-3871, plain, ( ~class_Int_Onumber(_u6240) | ~class_Orderings_Oord(_u6240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)) )).
% 13.06/13.31 cnf(matrix-3872, plain, ( ~class_Int_Onumber(_u6240) | ~class_Orderings_Oord(_u6240) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6240), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6241)), hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6240), _u6242)) )).
% 13.06/13.31 cnf(matrix-3873, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6243)), _u6244) = 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), _u6243)), _u6244)) )).
% 13.06/13.31 cnf(matrix-3874, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6245), hAPP(c_Nat_OSuc, _u6246)) = 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)), _u6246)), _u6245)) )).
% 13.06/13.31 cnf(matrix-3875, 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))) )).
% 13.06/13.31 cnf(matrix-3876, plain, ( ( c_Divides_Odivmod__nat(_u6251, _u6249) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6251)) | ( _u6249 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3877, plain, ( ( c_Divides_Odivmod__nat(_u6251, _u6249) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6251), _u6249)) )).
% 13.06/13.31 cnf(matrix-3878, plain, ( ( _u6250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6252), _u6250)) | ( c_Divides_Odivmod__nat(_u6252, _u6250) = 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), _u6252), _u6250), _u6250))) )).
% 13.06/13.31 cnf(matrix-3879, plain, ( ~class_Orderings_Oord(_u6253) | ( c_Orderings_Oord__class_Omin(_u6253) = c_Orderings_Oord_Omin(_u6253, c_Orderings_Oord__class_Oless__eq(_u6253))) )).
% 13.06/13.31 cnf(matrix-3880, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6254)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6255)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6255))), 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, _u6254))), 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), _u6254)), c_Int_Onat))))) )).
% 13.06/13.31 cnf(matrix-3881, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6256)), hAPP(c_Nat_OSuc, _u6257)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6256))), 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, _u6257))), 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)), _u6257))))) )).
% 13.06/13.31 cnf(matrix-3882, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6258, _u6259, _u6260, _u6261), hAPP(c_Product__Type_Oapsnd(_u6262, _u6260, _u6258, _u6263), _u6264)) = hAPP(hAPP(c_Product__Type_OPair(_u6259, _u6260), hAPP(_u6261, hAPP(c_Product__Type_Ofst(_u6258, _u6262), _u6264))), hAPP(_u6263, hAPP(c_Product__Type_Osnd(_u6258, _u6262), _u6264)))) )).
% 13.06/13.31 cnf(matrix-3883, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6265, _u6266, _u6267, _u6268), hAPP(c_Product__Type_Oapfst(_u6269, _u6267, _u6265, _u6270), _u6271)) = hAPP(hAPP(c_Product__Type_OPair(_u6267, _u6266), hAPP(_u6270, hAPP(c_Product__Type_Ofst(_u6269, _u6265), _u6271))), hAPP(_u6268, hAPP(c_Product__Type_Osnd(_u6269, _u6265), _u6271)))) )).
% 13.06/13.31 cnf(matrix-3884, plain, ( ~class_Orderings_Olinorder(_u6272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), _u6273), _u6274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), _u6273), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6272), _u6274), _u6275))) )).
% 13.06/13.31 cnf(matrix-3885, plain, ( ~class_Orderings_Olinorder(_u6276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6276), _u6277), _u6278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6276), _u6277), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6276), _u6279), _u6278))) )).
% 13.06/13.31 cnf(matrix-3886, plain, ( ~class_Orderings_Olinorder(_u6280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6280), _u6281), _u6282)), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6281), _u6283)) )).
% 13.06/13.31 cnf(matrix-3887, plain, ( ~class_Orderings_Olinorder(_u6280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6280), _u6281), _u6282)), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6282), _u6283)) )).
% 13.06/13.31 cnf(matrix-3888, plain, ( ~class_Orderings_Olinorder(_u6280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6281), _u6283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), _u6282), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6280), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6280), _u6281), _u6282)), _u6283)) )).
% 13.06/13.31 cnf(matrix-3889, plain, ( ~class_Orderings_Olinorder(_u6284) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6284), _u6286), _u6287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6287)) )).
% 13.06/13.31 cnf(matrix-3890, plain, ( ~class_Orderings_Olinorder(_u6284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6284), _u6286), _u6287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6286)) )).
% 13.06/13.31 cnf(matrix-3891, plain, ( ~class_Orderings_Olinorder(_u6284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6284), _u6286), _u6287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6284), _u6285), _u6287)) )).
% 13.06/13.31 cnf(matrix-3892, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6288) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6288), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6288), _u6289), _u6290)), _u6291) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6288), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6288), _u6289), _u6291)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6288), _u6290), _u6291))) )).
% 13.06/13.31 cnf(matrix-3893, plain, ( ~class_Orderings_Olinorder(_u6292) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6292), _u6293), _u6293) = _u6293) )).
% 13.06/13.31 cnf(matrix-3894, plain, ( ~class_Orderings_Olinorder(_u6294) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6294), _u6295), _u6296) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6294), _u6296), _u6295)) )).
% 13.06/13.31 cnf(matrix-3895, plain, ( ~class_Orderings_Olinorder(_u6297) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6297), _u6298), _u6299) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6297), _u6299), _u6298)) )).
% 13.06/13.31 cnf(matrix-3896, plain, ( ~class_Orderings_Olinorder(_u6300) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6300), _u6301), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6300), _u6301), _u6302)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6300), _u6301), _u6302)) )).
% 13.06/13.31 cnf(matrix-3897, plain, ( ~class_Orderings_Olinorder(_u6303) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6303), _u6304), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6303), _u6304), _u6305)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6303), _u6304), _u6305)) )).
% 13.06/13.31 cnf(matrix-3898, plain, ( ~class_Orderings_Olinorder(_u6306) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6307), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6308), _u6309)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6308), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6306), _u6307), _u6309))) )).
% 13.06/13.31 cnf(matrix-3899, plain, ( ~class_Orderings_Olinorder(_u6310) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6311), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6312), _u6313)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6312), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6310), _u6311), _u6313))) )).
% 13.06/13.31 cnf(matrix-3900, plain, ( ~class_Orderings_Olinorder(_u6314) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), _u6315), _u6316)), _u6317) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), _u6315), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6314), _u6316), _u6317))) )).
% 13.06/13.31 cnf(matrix-3901, plain, ( ~class_Orderings_Olinorder(_u6318) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), _u6319), _u6320)), _u6321) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), _u6319), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6318), _u6320), _u6321))) )).
% 13.06/13.31 cnf(matrix-3902, plain, ( ~class_Orderings_Olinorder(_u6322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6322), _u6324), _u6325))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6325)) )).
% 13.06/13.31 cnf(matrix-3903, plain, ( ~class_Orderings_Olinorder(_u6322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6322), _u6324), _u6325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6324)) )).
% 13.06/13.31 cnf(matrix-3904, plain, ( ~class_Orderings_Olinorder(_u6322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6322), _u6324), _u6325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6322), _u6323), _u6325)) )).
% 13.06/13.31 cnf(matrix-3905, plain, ( ~class_Orderings_Olinorder(_u6326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6326), _u6327), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6326), _u6327), _u6328))) )).
% 13.06/13.31 cnf(matrix-3906, plain, ( ~class_Orderings_Olinorder(_u6329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), _u6330), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6329), _u6331), _u6330))) )).
% 13.06/13.31 cnf(matrix-3907, plain, ( ~class_Orderings_Olinorder(_u6332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6332), _u6333), _u6334)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6332), _u6333), _u6334) = _u6334) )).
% 13.06/13.31 cnf(matrix-3908, plain, ( ~class_Orderings_Olinorder(_u6332) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6332), _u6333), _u6334) != _u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6332), _u6333), _u6334)) )).
% 13.06/13.31 cnf(matrix-3909, plain, ( ~class_Orderings_Olinorder(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6335), _u6336), _u6337)), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6336), _u6338)) )).
% 13.06/13.31 cnf(matrix-3910, plain, ( ~class_Orderings_Olinorder(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6335), _u6336), _u6337)), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6337), _u6338)) )).
% 13.06/13.31 cnf(matrix-3911, plain, ( ~class_Orderings_Olinorder(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6336), _u6338)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), _u6337), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6335), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6335), _u6336), _u6337)), _u6338)) )).
% 13.06/13.31 cnf(matrix-3912, plain, ( ~class_Orderings_Olinorder(_u6339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6339), _u6340), _u6341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6339), _u6340), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6339), _u6341), _u6342))) )).
% 13.06/13.31 cnf(matrix-3913, plain, ( ~class_Orderings_Olinorder(_u6343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6343), _u6344), _u6345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6343), _u6344), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6343), _u6346), _u6345))) )).
% 13.06/13.31 cnf(matrix-3914, plain, ( ~class_Orderings_Olinorder(_u6347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6347), _u6348), _u6349)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6347), _u6348), _u6349) = _u6349) )).
% 13.06/13.31 cnf(matrix-3915, plain, ( ~class_Orderings_Olinorder(_u6350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6350), _u6351), _u6352)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6350), _u6352), _u6351) = _u6352) )).
% 13.06/13.31 cnf(matrix-3916, plain, ( ~class_Orderings_Olinorder(_u6353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6353), _u6354), _u6355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6353), _u6356), _u6355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6353), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6353), _u6354), _u6356)), _u6355)) )).
% 13.06/13.31 cnf(matrix-3917, plain, ( ~class_Orderings_Olinorder(_u6357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6357), _u6358), _u6359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6357), _u6360), _u6359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6357), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6357), _u6358), _u6360)), _u6359)) )).
% 13.06/13.31 cnf(matrix-3918, plain, ( ~class_Orderings_Olinorder(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6361), _u6362), _u6363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6361), _u6364), _u6365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6361), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6361), _u6362), _u6364)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6361), _u6363), _u6365))) )).
% 13.06/13.31 cnf(matrix-3919, plain, ( ~class_Orderings_Olinorder(_u6366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6366), _u6367), _u6368)), _u6369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), _u6367), _u6369)) )).
% 13.06/13.31 cnf(matrix-3920, plain, ( ~class_Orderings_Olinorder(_u6366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6366), _u6367), _u6368)), _u6369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6366), _u6368), _u6369)) )).
% 13.06/13.31 cnf(matrix-3921, plain, ( ~class_Groups_Oordered__ab__group__add(_u6370) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6370), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6370), _u6371), _u6372)), _u6373) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6370), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6370), _u6371), _u6373)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6370), _u6372), _u6373))) )).
% 13.06/13.31 cnf(matrix-3922, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6374)), hAPP(c_Nat_OSuc, _u6375)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6374), _u6375))) )).
% 13.06/13.31 cnf(matrix-3923, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6376) = _u6376) )).
% 13.06/13.31 cnf(matrix-3924, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6377), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6377) )).
% 13.06/13.31 cnf(matrix-3925, plain, ( ~class_Orderings_Olinorder(_u6378) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6378), _u6379), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6378), _u6379), _u6380)) = _u6379) )).
% 13.06/13.31 cnf(matrix-3926, plain, ( ~class_Orderings_Olinorder(_u6381) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6381), _u6382), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6381), _u6382), _u6383)) = _u6382) )).
% 13.06/13.31 cnf(matrix-3927, plain, ( ~class_Orderings_Olinorder(_u6384) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6384), _u6385), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6384), _u6386), _u6387)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6384), _u6385), _u6386)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6384), _u6385), _u6387))) )).
% 13.06/13.31 cnf(matrix-3928, plain, ( ~class_Orderings_Olinorder(_u6388) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6388), _u6389), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6388), _u6390), _u6391)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6388), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6388), _u6389), _u6390)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6388), _u6389), _u6391))) )).
% 13.06/13.31 cnf(matrix-3929, plain, ( ~class_Orderings_Olinorder(_u6392) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6392), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6392), _u6393), _u6394)), _u6395) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6392), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6392), _u6393), _u6395)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6392), _u6394), _u6395))) )).
% 13.06/13.31 cnf(matrix-3930, plain, ( ~class_Orderings_Olinorder(_u6396) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6396), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6396), _u6397), _u6398)), _u6399) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6396), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6396), _u6397), _u6399)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6396), _u6398), _u6399))) )).
% 13.06/13.31 cnf(matrix-3931, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6400, _u6401, _u6402, _u6403), hAPP(hAPP(c_Product__Type_OPair(_u6400, _u6402), _u6404), _u6405)) = hAPP(hAPP(c_Product__Type_OPair(_u6401, _u6402), hAPP(_u6403, _u6404)), _u6405)) )).
% 13.06/13.31 cnf(matrix-3932, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6412, _u6414, _u6416, _u6418), _u6420) != hAPP(c_Product__Type_Oapfst(_u6412, _u6414, _u6416, _u6422), _u6420)) | ( hAPP(_u6418, hAPP(c_Product__Type_Ofst(_u6412, _u6416), _u6420)) = hAPP(_u6422, hAPP(c_Product__Type_Ofst(_u6412, _u6416), _u6420))) )).
% 13.06/13.31 cnf(matrix-3933, plain, ( ( hAPP(_u6419, hAPP(c_Product__Type_Ofst(_u6413, _u6417), _u6421)) != hAPP(_u6423, hAPP(c_Product__Type_Ofst(_u6413, _u6417), _u6421))) | ( hAPP(c_Product__Type_Oapfst(_u6413, _u6415, _u6417, _u6419), _u6421) = hAPP(c_Product__Type_Oapfst(_u6413, _u6415, _u6417, _u6423), _u6421)) )).
% 13.06/13.31 cnf(matrix-3934, plain, ( ( hAPP(c_Product__Type_Ofst(_u6424, _u6425), hAPP(c_Product__Type_Oapfst(_u6426, _u6424, _u6425, _u6427), _u6428)) = hAPP(_u6427, hAPP(c_Product__Type_Ofst(_u6426, _u6425), _u6428))) )).
% 13.06/13.31 cnf(matrix-3935, plain, ( ( hAPP(c_Product__Type_Osnd(_u6429, _u6430), hAPP(c_Product__Type_Oapfst(_u6431, _u6429, _u6430, _u6432), _u6433)) = hAPP(c_Product__Type_Osnd(_u6431, _u6430), _u6433)) )).
% 13.06/13.31 cnf(matrix-3936, plain, ( ~class_Int_Onumber(_u6434) | ~class_Orderings_Oord(_u6434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436)) )).
% 13.06/13.31 cnf(matrix-3937, plain, ( ~class_Int_Onumber(_u6434) | ~class_Orderings_Oord(_u6434) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6434), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)), hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6436)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6434), _u6435)) )).
% 13.06/13.31 cnf(matrix-3938, plain, ( ~class_Orderings_Olinorder(_u6437) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6437), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6437), _u6438), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6437), _u6439), _u6440))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6437), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6437), _u6438), _u6439)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6437), _u6438), _u6440)))) )).
% 13.06/13.31 cnf(matrix-3939, plain, ( ~class_Orderings_Olinorder(_u6441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6441), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6441), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6441), _u6442), _u6443)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6441), _u6442), _u6444))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6441), _u6442), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6441), _u6443), _u6444)))) )).
% 13.06/13.31 cnf(matrix-3940, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6445) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6445), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6445), _u6446), _u6447)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6445), hAPP(c_Groups_Ouminus__class_Ouminus(_u6445), _u6446)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6445), _u6447))) )).
% 13.06/13.31 cnf(matrix-3941, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6448) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6448), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6448), _u6449), _u6450)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6448), hAPP(c_Groups_Ouminus__class_Ouminus(_u6448), _u6449)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6448), _u6450))) )).
% 13.06/13.31 cnf(matrix-3942, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6451), _u6452)), _u6452) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6451), _u6452)) )).
% 13.06/13.31 cnf(matrix-3943, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6453, _u6454, _u6455, _u6456), hAPP(c_Product__Type_Oapfst(_u6457, _u6455, _u6453, _u6458), _u6459)) = hAPP(c_Product__Type_Oapfst(_u6457, _u6455, _u6454, _u6458), hAPP(c_Product__Type_Oapsnd(_u6453, _u6454, _u6457, _u6456), _u6459))) )).
% 13.06/13.31 cnf(matrix-3944, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6460)), _u6461) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6460), 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), _u6460)), _u6461)) )).
% 13.06/13.31 cnf(matrix-3945, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6462), hAPP(c_Nat_OSuc, _u6463)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6463), 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)), _u6463)), _u6462)) )).
% 13.06/13.31 cnf(matrix-3946, plain, ( ~class_Orderings_Olinorder(_u6464) | ( c_Orderings_Oord_Omin(_u6464, hAPP(c_COMBC(_u6464, _u6464, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6464))) = c_Orderings_Oord__class_Omax(_u6464)) )).
% 13.06/13.31 cnf(matrix-3947, plain, ( ~class_Orderings_Oord(_u6465) | ( c_Orderings_Oord__class_Omax(_u6465) = c_Orderings_Oord_Omax(_u6465, c_Orderings_Oord__class_Oless__eq(_u6465))) )).
% 13.06/13.31 cnf(matrix-3948, 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))))) )).
% 13.06/13.31 cnf(matrix-3949, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6468), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6470, _u6468) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6470), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6468))) )).
% 13.06/13.31 cnf(matrix-3950, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6471, _u6469) = 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))) | ( _u6471 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3951, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6471, _u6469) = 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))) | ( _u6469 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3952, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6469), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6471 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6469 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u6471, _u6469) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u6471), _u6469)), 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), _u6471))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6469)))) )).
% 13.06/13.31 cnf(matrix-3953, 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), _u6472), _u6473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6472), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6473))) )).
% 13.06/13.31 cnf(matrix-3954, 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), _u6472), _u6473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = 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))) | ( _u6472 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3955, 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), _u6472), _u6473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = 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))) | ( _u6473 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.31 cnf(matrix-3956, 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), _u6472), _u6473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6473), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6472 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6473 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u6472, _u6473) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u6472), _u6473)), 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), _u6472))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6473)))) )).
% 13.06/13.31 cnf(matrix-3957, plain, ( ~class_Orderings_Olinorder(_u6474) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6474), _u6475), _u6475) = _u6475) )).
% 13.06/13.31 cnf(matrix-3958, plain, ( ~class_Orderings_Olinorder(_u6476) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6476), _u6477), _u6477) = _u6477) )).
% 13.06/13.31 cnf(matrix-3959, plain, ( ~class_Orderings_Olinorder(_u6478) | ( c_Orderings_Oord_Omax(_u6478, hAPP(c_COMBC(_u6478, _u6478, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u6478))) = c_Orderings_Oord__class_Omin(_u6478)) )).
% 13.06/13.31 cnf(matrix-3960, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u6479), _u6480) = 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), _u6479)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6480))))) )).
% 13.06/13.31 cnf(matrix-3961, 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), _u6483), _u6484))) | hBOOL(hAPP(hAPP(_u6485, _u6483), _u6484)) | 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), skolem94(_u6485, _u6484, _u6483)), skolem95(_u6485, _u6484, _u6483)))) )).
% 13.06/13.31 cnf(matrix-3962, 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), _u6483), _u6484))) | hBOOL(hAPP(hAPP(_u6485, _u6483), _u6484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem95(_u6485, _u6484, _u6483)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6485, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem94(_u6485, _u6484, _u6483))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem95(_u6485, _u6484, _u6483)))) )).
% 13.06/13.31 cnf(matrix-3963, 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), _u6483), _u6484))) | hBOOL(hAPP(hAPP(_u6485, _u6483), _u6484)) | ~hBOOL(hAPP(hAPP(_u6485, skolem94(_u6485, _u6484, _u6483)), skolem95(_u6485, _u6484, _u6483))) )).
% 13.06/13.31 cnf(matrix-3964, plain, ( ( c_Nitpick_Oint__lcm(_u6486, _u6487) = 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), _u6486)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6487))))) )).
% 13.06/13.31 cnf(matrix-3965, plain, ( ( c_Nitpick_Ozero__frac(_u6488) = c_Nitpick_OAbs__Frac(_u6488, 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)))) )).
% 13.06/13.31 cnf(matrix-3966, plain, ( ( _u6491 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6493, _u6491) = _u6493) )).
% 13.06/13.31 cnf(matrix-3967, plain, ( ( _u6492 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6494, _u6492) = c_Nitpick_Onat__gcd(_u6492, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6494, _u6492))) )).
% 13.06/13.31 cnf(matrix-3968, plain, ( ( c_Nitpick_Onat__lcm(_u6495, _u6496) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6495), _u6496)), c_Nitpick_Onat__gcd(_u6495, _u6496))) )).
% 13.06/13.31 cnf(matrix-3969, plain, ( ( c_Nitpick_Oone__frac(_u6497) = c_Nitpick_OAbs__Frac(_u6497, 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)))) )).
% 13.06/13.31 cnf(matrix-3970, plain, ( ( c_Nitpick_Onumber__of__frac(_u6498, _u6499) = c_Nitpick_OAbs__Frac(_u6498, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6499), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.06/13.31 cnf(matrix-3971, 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), _u6500), _u6501))) | ( _u6501 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6500, _u6501) = _u6500) )).
% 13.06/13.31 cnf(matrix-3972, 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), _u6500), _u6501))) | ( _u6501 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6500, _u6501) = c_Nitpick_Onat__gcd(_u6501, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6500, _u6501))) )).
% 13.06/13.31 cnf(matrix-3973, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u6502), _u6503), _u6504) = c_Nitpick_OAbs__Frac(_u6502, c_Nitpick_Onorm__frac(_u6503, _u6504))) )).
% 13.06/13.31 cnf(matrix-3974, plain, ( ( c_Product__Type_Ointernal__split(_u6505, _u6506, _u6507) = c_Product__Type_Oprod_Oprod__case(_u6505, _u6506, _u6507)) )).
% 13.06/13.31 cnf(matrix-3975, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u6508, _u6509, _u6510), _u6511), hAPP(hAPP(c_Product__Type_OPair(_u6508, _u6509), _u6512), _u6513)) = hAPP(hAPP(_u6511, _u6512), _u6513)) )).
% 13.06/13.31 cnf(matrix-3976, 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), _u6516), _u6517))) | hBOOL(hAPP(hAPP(_u6518, _u6516), _u6517)) | 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), skolem96(_u6518, _u6517, _u6516)), skolem97(_u6518, _u6517, _u6516)))) )).
% 13.06/13.31 cnf(matrix-3977, 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), _u6516), _u6517))) | hBOOL(hAPP(hAPP(_u6518, _u6516), _u6517)) | ( skolem97(_u6518, _u6517, _u6516) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6518, skolem97(_u6518, _u6517, _u6516)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem96(_u6518, _u6517, _u6516), skolem97(_u6518, _u6517, _u6516)))) )).
% 13.06/13.31 cnf(matrix-3978, 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), _u6516), _u6517))) | hBOOL(hAPP(hAPP(_u6518, _u6516), _u6517)) | ~hBOOL(hAPP(hAPP(_u6518, skolem96(_u6518, _u6517, _u6516)), skolem97(_u6518, _u6517, _u6516))) )).
% 13.06/13.31 cnf(matrix-3979, plain, ( ( c_Nitpick_Oplus__frac(_u6519, _u6520, _u6521) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u6519), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u6519), _u6520), hAPP(c_Nitpick_Odenom(_u6519), _u6521))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u6519), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u6519), tc_Int_Oint), c_Nitpick_Ofrac(_u6519)), 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(_u6519), _u6520))), 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(_u6519), _u6520))))), 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(_u6519), _u6521))), 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(_u6519), _u6521)))))), c_COMBI(tc_Int_Oint)))) )).
% 13.06/13.31 cnf(matrix-3980, 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)) )).
% 13.06/13.31 cnf(matrix-3981, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u6522, _u6523, _u6524, _u6525, c_Nitpick_Opair__box_OPairBox(_u6522, _u6523, _u6526, _u6527)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6524, _u6526)), hAPP(_u6525, _u6527))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.31 cnf(matrix-3982, plain, ( ~hBOOL(hAPP(hAPP(_u6528, _u6529), _u6530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6531, tc_fun(_u6532, tc_HOL_Obool))), _u6528), _u6533)) | hBOOL(hAPP(hAPP(_u6533, _u6529), _u6530)) )).
% 13.06/13.31 cnf(matrix-3983, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6544, _u6546) != c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6548, _u6550)) | ( _u6544 = _u6548) )).
% 13.06/13.31 cnf(matrix-3984, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6544, _u6546) != c_Nitpick_Opair__box_OPairBox(_u6540, _u6542, _u6548, _u6550)) | ( _u6546 = _u6550) )).
% 13.06/13.31 cnf(matrix-3985, plain, ( ( _u6545 != _u6549) | ( _u6547 != _u6551) | ( c_Nitpick_Opair__box_OPairBox(_u6541, _u6543, _u6545, _u6547) = c_Nitpick_Opair__box_OPairBox(_u6541, _u6543, _u6549, _u6551)) )).
% 13.06/13.31 cnf(matrix-3986, plain, ( ~hBOOL(hAPP(_u6552, _u6553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6554, tc_HOL_Obool)), _u6552), _u6555)) | hBOOL(hAPP(_u6555, _u6553)) )).
% 13.06/13.31 cnf(matrix-3987, plain, ( ~hBOOL(hAPP(_u6557, _u6559)) | hBOOL(hAPP(_u6558, _u6559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6556, tc_HOL_Obool)), _u6557), _u6558)) )).
% 13.06/13.31 cnf(matrix-3988, plain, ( ~hBOOL(hAPP(hAPP(_u6562, _u6564), _u6565)) | hBOOL(hAPP(hAPP(_u6563, _u6564), _u6565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6560, tc_fun(_u6561, tc_HOL_Obool))), _u6562), _u6563)) )).
% 13.06/13.31 cnf(matrix-3989, plain, ( ( c_Nitpick_Otimes__frac(_u6566, _u6567, _u6568) = hAPP(hAPP(c_Nitpick_Ofrac(_u6566), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6566), _u6567)), hAPP(c_Nitpick_Onum(_u6566), _u6568))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u6566), _u6567)), hAPP(c_Nitpick_Odenom(_u6566), _u6568)))) )).
% 13.06/13.31 cnf(matrix-3990, plain, ( ~class_Rings_Oinverse(_u6569) | ~class_Rings_Oring__1(_u6569) | ( c_Nitpick_Oof__frac(_u6570, _u6569, _u6571) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6569), hAPP(c_Int_Oring__1__class_Oof__int(_u6569), hAPP(c_Nitpick_Onum(_u6570), _u6571))), hAPP(c_Int_Oring__1__class_Oof__int(_u6569), hAPP(c_Nitpick_Odenom(_u6570), _u6571)))) )).
% 13.06/13.31 cnf(matrix-3991, plain, ( ( c_Nitpick_Oinverse__frac(_u6572, _u6573) = hAPP(hAPP(c_Nitpick_Ofrac(_u6572), hAPP(c_Nitpick_Odenom(_u6572), _u6573)), hAPP(c_Nitpick_Onum(_u6572), _u6573))) )).
% 13.06/13.31 cnf(matrix-3992, plain, ( ( c_Nitpick_Ouminus__frac(_u6574, _u6575) = c_Nitpick_OAbs__Frac(_u6574, 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(_u6574), _u6575))), hAPP(c_Nitpick_Odenom(_u6574), _u6575)))) )).
% 13.06/13.31 cnf(matrix-3993, plain, ( ~c_Nitpick_Oless__frac(_u6579, _u6581, _u6583) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6579), c_Nitpick_Oplus__frac(_u6579, _u6581, c_Nitpick_Ouminus__frac(_u6579, _u6583)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6580), c_Nitpick_Oplus__frac(_u6580, _u6582, c_Nitpick_Ouminus__frac(_u6580, _u6584)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u6580, _u6582, _u6584) )).
% 13.06/13.31 cnf(matrix-3995, plain, ( ~c_Nitpick_Oless__eq__frac(_u6588, _u6590, _u6592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6588), c_Nitpick_Oplus__frac(_u6588, _u6590, c_Nitpick_Ouminus__frac(_u6588, _u6592)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 13.06/13.31 cnf(matrix-3996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u6589), c_Nitpick_Oplus__frac(_u6589, _u6591, c_Nitpick_Ouminus__frac(_u6589, _u6593)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u6589, _u6591, _u6593) )).
% 13.06/13.31 cnf(matrix-3997, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u6594, _u6595)), c_Nitpick_Opair__box_OPairBox(_u6594, _u6595, _u6596, _u6597)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-3998, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u6598, _u6599, _u6600, _u6601, c_Nitpick_Opair__box_OPairBox(_u6598, _u6599, _u6602, _u6603)) = hAPP(hAPP(_u6601, _u6602), _u6603)) )).
% 13.06/13.31 cnf(matrix-3999, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u6604, _u6605, _u6606, _u6607, c_Nitpick_Opair__box_OPairBox(_u6604, _u6605, _u6608, _u6609)) = hAPP(hAPP(_u6607, _u6608), _u6609)) )).
% 13.06/13.31 cnf(matrix-4000, plain, ( ( c_HOL_OThe(tc_prod(_u6610, _u6611), hAPP(c_Product__Type_Oprod_Oprod__case(_u6610, _u6611, tc_HOL_Obool), _u6612)) = c_HOL_OThe(tc_prod(_u6610, _u6611), hAPP(hAPP(c_COMBS(tc_prod(_u6610, _u6611), _u6611, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6610, tc_fun(_u6611, tc_HOL_Obool), tc_prod(_u6610, _u6611)), _u6612), c_Product__Type_Ofst(_u6610, _u6611))), c_Product__Type_Osnd(_u6610, _u6611)))) )).
% 13.06/13.31 cnf(matrix-4001, plain, ( ( c_HOL_OThe(tc_prod(_u6613, _u6614), _u6615) = c_HOL_OThe(tc_prod(_u6613, _u6614), hAPP(c_Product__Type_Oprod_Oprod__case(_u6613, _u6614, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6614, tc_prod(_u6613, _u6614)), tc_fun(_u6614, tc_HOL_Obool), _u6613), hAPP(c_COMBB(tc_prod(_u6613, _u6614), tc_HOL_Obool, _u6614), _u6615)), c_Product__Type_OPair(_u6613, _u6614))))) )).
% 13.06/13.31 cnf(matrix-4002, plain, ( ( c_HOL_OThe(tc_prod(_u6616, _u6617), hAPP(c_Product__Type_Oprod_Oprod__case(_u6616, _u6617, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u6616, tc_fun(_u6617, tc_HOL_Obool), tc_fun(_u6617, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u6617, tc_HOL_Obool), tc_fun(_u6617, tc_HOL_Obool)), _u6616), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6617)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6616), c_fconj), hAPP(c_fequal, _u6618)))), hAPP(c_fequal, _u6619)))) = hAPP(hAPP(c_Product__Type_OPair(_u6616, _u6617), _u6618), _u6619)) )).
% 13.06/13.31 cnf(matrix-4003, plain, ( ( c_Divides_Odivmod__nat(_u6620, _u6621) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u6620, _u6621))) )).
% 13.06/13.31 cnf(matrix-4004, plain, ( ( c_HOL_OThe(_u6622, hAPP(hAPP(c_COMBC(_u6622, _u6622, tc_HOL_Obool), c_fequal), _u6623)) = _u6623) )).
% 13.06/13.31 cnf(matrix-4005, plain, ( ( c_HOL_OThe(_u6624, hAPP(c_fequal, _u6625)) = _u6625) )).
% 13.06/13.31 cnf(matrix-4006, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u6626, _u6627, _u6628, c_Code__Numeral_OSuc__code__numeral(_u6629)) = hAPP(hAPP(_u6628, _u6629), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u6626, _u6627, _u6628, _u6629))) )).
% 13.06/13.31 cnf(matrix-4007, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6634), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6636, _u6638, _u6634, _u6640) = 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(_u6636)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u6636))) )).
% 13.06/13.31 cnf(matrix-4008, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6635), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u6637, _u6639, _u6635, _u6641) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u6637, 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u6639, _u6641)), 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(_u6637)))), 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(_u6637)))), 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u6637, 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(_u6637)))), 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u6637, _u6639, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6635), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u6641))), 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(_u6637)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), 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(_u6637)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u6637, 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(_u6637)))), 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(_u6637)))), 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(_u6637))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), 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(_u6637)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637))))), tc_prod(_u6637, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u6637)), hAPP(hAPP(c_COMBB(_u6637, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u6637)))), tc_prod(_u6637, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u6637)), c_Product__Type_Ofst(_u6637, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 13.06/13.31 cnf(matrix-4009, plain, ( ~hBOOL(hAPP(hAPP(_u6644, hAPP(c_Product__Type_Osnd(_u6645, _u6646), _u6647)), hAPP(c_Product__Type_Ofst(_u6645, _u6646), _u6647))) | hBOOL(hAPP(_u6648, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6645, _u6646, _u6650), _u6649), _u6647))) | hBOOL(hAPP(hAPP(_u6644, skolem99(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644)), skolem98(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644))) )).
% 13.06/13.31 cnf(matrix-4010, plain, ( ~hBOOL(hAPP(hAPP(_u6644, hAPP(c_Product__Type_Osnd(_u6645, _u6646), _u6647)), hAPP(c_Product__Type_Ofst(_u6645, _u6646), _u6647))) | hBOOL(hAPP(_u6648, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6645, _u6646, _u6650), _u6649), _u6647))) | ~hBOOL(hAPP(_u6648, hAPP(hAPP(_u6649, skolem98(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644)), skolem99(_u6650, _u6649, _u6648, _u6647, _u6646, _u6645, _u6644)))) )).
% 13.06/13.31 cnf(matrix-4011, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u6651, _u6652, _u6653, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u6652) )).
% 13.06/13.31 cnf(matrix-4012, plain, ( ( c_Random__Sequence_Oempty(_u6654, _u6655, _u6656) = 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(_u6654)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u6654))) )).
% 13.06/13.31 cnf(matrix-4013, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u6657), _u6658), _u6659), _u6660) = 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(_u6657)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u6657), _u6658))) )).
% 13.06/13.31 cnf(matrix-4014, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u6661), _u6662) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u6661, 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)))), _u6662)))) )).
% 13.06/13.31 cnf(matrix-4015, plain, ( ( _u6664 = 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)), _u6664)) )).
% 13.06/13.31 cnf(matrix-4016, 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)), _u6665)) | ( _u6665 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-4017, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6668), _u6670)) | ( c_Quickcheck_Obeyond(_u6668, _u6670) = _u6670) )).
% 13.06/13.31 cnf(matrix-4018, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6669), _u6671)) | ( c_Quickcheck_Obeyond(_u6669, _u6671) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 13.06/13.31 cnf(matrix-4019, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 13.06/13.31 cnf(matrix-4020, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u6674) != hAPP(c_Code__Numeral_Oof__nat, _u6676)) | ( _u6674 = _u6676) )).
% 13.06/13.31 cnf(matrix-4021, plain, ( ( _u6675 != _u6677) | ( hAPP(c_Code__Numeral_Oof__nat, _u6675) = hAPP(c_Code__Numeral_Oof__nat, _u6677)) )).
% 13.06/13.31 cnf(matrix-4022, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6678)), hAPP(c_Code__Numeral_Oof__nat, _u6679)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6678), _u6679))) )).
% 13.06/13.31 cnf(matrix-4023, plain, ( ( c_Quickcheck_Obeyond(_u6680, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 13.06/13.31 cnf(matrix-4024, 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))) )).
% 13.06/13.31 cnf(matrix-4025, 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))) )).
% 13.06/13.31 cnf(matrix-4026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6683)), hAPP(c_Code__Numeral_Oof__nat, _u6685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6683), _u6685)) )).
% 13.06/13.31 cnf(matrix-4027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6684), _u6686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6684)), hAPP(c_Code__Numeral_Oof__nat, _u6686))) )).
% 13.06/13.31 cnf(matrix-4028, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6687)), hAPP(c_Code__Numeral_Oof__nat, _u6688)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6687), _u6688))) )).
% 13.06/13.31 cnf(matrix-4029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6691)), hAPP(c_Code__Numeral_Oof__nat, _u6693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6691), _u6693)) )).
% 13.06/13.31 cnf(matrix-4030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6692), _u6694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u6692)), hAPP(c_Code__Numeral_Oof__nat, _u6694))) )).
% 13.06/13.31 cnf(matrix-4031, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u6695)), hAPP(c_Code__Numeral_Oof__nat, _u6696)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6695), _u6696))) )).
% 13.06/13.31 cnf(matrix-4032, plain, ( ( _u6697 = 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, _u6697)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u6697))) )).
% 13.06/13.31 cnf(matrix-4033, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u6698, _u6699, _u6700, _u6701) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u6698, _u6699), _u6700), _u6701))) )).
% 13.06/13.31 cnf(matrix-4034, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6702, _u6703) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u6702), hAPP(c_Code__Numeral_Onat__of, _u6703)))) )).
% 13.06/13.31 cnf(matrix-4035, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u6704), _u6705) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6704)), hAPP(c_Code__Numeral_Onat__of, _u6705)))) )).
% 13.06/13.31 cnf(matrix-4036, plain, ( ( _u6711 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6713, _u6715, _u6717, _u6719), _u6711) = c_Lazy__Sequence_Oempty(_u6715)) )).
% 13.06/13.31 cnf(matrix-4037, plain, ( ( _u6712 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u6714, _u6716, _u6718, _u6720), _u6712) = c_Lazy__Sequence_Obind(_u6714, _u6716, hAPP(_u6718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6712), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6714, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6716)), _u6720), _u6712))) )).
% 13.06/13.31 cnf(matrix-4038, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6723) != hAPP(c_Code__Numeral_Onat__of, _u6725)) | ( _u6723 = _u6725) )).
% 13.06/13.31 cnf(matrix-4039, plain, ( ( _u6724 != _u6726) | ( hAPP(c_Code__Numeral_Onat__of, _u6724) = hAPP(c_Code__Numeral_Onat__of, _u6726)) )).
% 13.06/13.31 cnf(matrix-4040, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6729) != hAPP(c_Code__Numeral_Onat__of, _u6731)) | ( _u6729 = _u6731) )).
% 13.06/13.31 cnf(matrix-4041, plain, ( ( _u6730 != _u6732) | ( hAPP(c_Code__Numeral_Onat__of, _u6730) = hAPP(c_Code__Numeral_Onat__of, _u6732)) )).
% 13.06/13.31 cnf(matrix-4042, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6733)) = _u6733) )).
% 13.06/13.31 cnf(matrix-4043, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u6734)) = _u6734) )).
% 13.06/13.31 cnf(matrix-4044, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u6735)) = _u6735) )).
% 13.06/13.31 cnf(matrix-4045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6738), _u6740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6738)), hAPP(c_Code__Numeral_Onat__of, _u6740))) )).
% 13.06/13.31 cnf(matrix-4046, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6739)), hAPP(c_Code__Numeral_Onat__of, _u6741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u6739), _u6741)) )).
% 13.06/13.31 cnf(matrix-4047, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u6742)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6742)) )).
% 13.06/13.31 cnf(matrix-4048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6745), _u6747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6745)), hAPP(c_Code__Numeral_Onat__of, _u6747))) )).
% 13.06/13.31 cnf(matrix-4049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6746)), hAPP(c_Code__Numeral_Onat__of, _u6748))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u6746), _u6748)) )).
% 13.06/13.31 cnf(matrix-4050, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u6749) = c_Code__Numeral_Onat__of__aux(_u6749, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-4051, plain, ( ( c_Code__Numeral_Onat__of__aux(_u6750, _u6751) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6750)), _u6751)) )).
% 13.06/13.31 cnf(matrix-4052, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u6752) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u6752)))) )).
% 13.06/13.31 cnf(matrix-4053, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6753), _u6754) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6753)), hAPP(c_Code__Numeral_Onat__of, _u6754)))) )).
% 13.06/13.31 cnf(matrix-4054, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u6755), _u6756) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6755)), hAPP(c_Code__Numeral_Onat__of, _u6756)))) )).
% 13.06/13.31 cnf(matrix-4055, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6757), _u6758) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u6757)), hAPP(c_Code__Numeral_Onat__of, _u6758)))) )).
% 13.06/13.31 cnf(matrix-4056, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u6759, _u6760, _u6761, _u6762, _u6763, _u6764, _u6765) = c_New__DSequence_Opos__decr__bind(_u6759, _u6760, hAPP(hAPP(hAPP(_u6761, _u6763), _u6764), _u6765), hAPP(hAPP(c_COMBC(_u6759, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6760))), hAPP(hAPP(c_COMBC(_u6759, 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(_u6760)))), hAPP(hAPP(c_COMBC(_u6759, 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(_u6760))))), _u6762), _u6763)), _u6764)), _u6765))) )).
% 13.06/13.31 cnf(matrix-4057, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u6766), _u6767) = c_Lazy__Sequence_Oempty(_u6766)) )).
% 13.06/13.31 cnf(matrix-4058, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u6768, _u6769, _u6770, _u6771), _u6772) = c_Lazy__Sequence_Obind(_u6768, _u6769, hAPP(_u6770, _u6772), hAPP(hAPP(c_COMBC(_u6768, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6769)), _u6771), _u6772))) )).
% 13.06/13.31 cnf(matrix-4059, plain, ( ( _u6778 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6780, _u6782, _u6784, _u6786), _u6778) = c_Lazy__Sequence_Ohit__bound(_u6782)) )).
% 13.06/13.31 cnf(matrix-4060, plain, ( ( _u6779 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u6781, _u6783, _u6785, _u6787), _u6779) = c_Lazy__Sequence_Ohb__bind(_u6781, _u6783, hAPP(_u6785, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6779), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u6781, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6783))), _u6787), _u6779))) )).
% 13.06/13.31 cnf(matrix-4061, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u6788, _u6789, _u6790, _u6791), _u6792), _u6793) = hAPP(_u6791, hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6789), _u6792), _u6793))) )).
% 13.06/13.31 cnf(matrix-4062, plain, ( ~hBOOL(hAPP(_u6794, hAPP(hAPP(c_Product__Type_OPair(_u6795, _u6796), _u6797), _u6798))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u6795, _u6796, tc_HOL_Obool, _u6794), _u6797), _u6798)) )).
% 13.06/13.31 cnf(matrix-4063, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u6799, _u6800, tc_HOL_Obool, _u6801), _u6802), _u6803)) | hBOOL(hAPP(_u6801, hAPP(hAPP(c_Product__Type_OPair(_u6799, _u6800), _u6802), _u6803))) )).
% 13.06/13.31 cnf(matrix-4064, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u6804, _u6805, tc_HOL_Obool, _u6806), _u6807), _u6808)) | hBOOL(hAPP(_u6806, hAPP(hAPP(c_Product__Type_OPair(_u6804, _u6805), _u6807), _u6808))) )).
% 13.06/13.31 cnf(matrix-4065, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u6809, _u6810, _u6811, _u6812), _u6813), _u6814) = hAPP(_u6812, hAPP(hAPP(c_Product__Type_OPair(_u6809, _u6810), _u6813), _u6814))) )).
% 13.06/13.31 cnf(matrix-4066, plain, ( ( c_Product__Type_Ocurry(_u6815, _u6816, _u6817, hAPP(c_Product__Type_Oprod_Oprod__case(_u6815, _u6816, _u6817), _u6818)) = _u6818) )).
% 13.06/13.31 cnf(matrix-4067, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u6819, _u6820, _u6821), c_Product__Type_Ocurry(_u6819, _u6820, _u6821, _u6822)) = _u6822) )).
% 13.06/13.31 cnf(matrix-4068, plain, ( ( c_New__Random__Sequence_Opos__empty(_u6823, _u6824, _u6825, _u6826) = c_New__DSequence_Opos__empty(_u6823)) )).
% 13.06/13.31 cnf(matrix-4069, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u6827, _u6828, _u6829, _u6830, _u6831, _u6832, _u6833) = c_New__DSequence_Oneg__decr__bind(_u6827, _u6828, hAPP(hAPP(hAPP(_u6829, _u6831), _u6832), _u6833), hAPP(hAPP(c_COMBC(_u6827, 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(_u6828)))), hAPP(hAPP(c_COMBC(_u6827, 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(_u6828))))), hAPP(hAPP(c_COMBC(_u6827, 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(_u6828)))))), _u6830), _u6831)), _u6832)), _u6833))) )).
% 13.06/13.31 cnf(matrix-4070, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u6834, _u6835, _u6836, _u6837), _u6838), _u6839), _u6840) = c_New__DSequence_Opos__bind(_u6834, _u6835, hAPP(hAPP(hAPP(_u6836, _u6838), _u6839), _u6840), hAPP(hAPP(c_COMBC(_u6834, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u6835))), hAPP(hAPP(c_COMBC(_u6834, 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(_u6835)))), hAPP(hAPP(c_COMBC(_u6834, 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(_u6835))))), _u6837), _u6838)), _u6839)), _u6840))) )).
% 13.06/13.31 cnf(matrix-4071, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u6841, _u6842, _u6843, _u6844), _u6845) = c_Lazy__Sequence_Ohb__bind(_u6841, _u6842, hAPP(_u6843, _u6845), hAPP(hAPP(c_COMBC(_u6841, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u6842))), _u6844), _u6845))) )).
% 13.06/13.31 cnf(matrix-4072, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6846), _u6847)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6846), _u6848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6847), _u6848)) )).
% 13.06/13.31 cnf(matrix-4073, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6849), _u6849)) )).
% 13.06/13.31 cnf(matrix-4074, plain, ( ~class_Rings_Ocomm__semiring__1(_u6850) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6850), _u6851), c_Groups_Ozero__class_Ozero(_u6850))) )).
% 13.06/13.31 cnf(matrix-4075, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6852)) )).
% 13.06/13.31 cnf(matrix-4076, plain, ( ~class_Rings_Ocomm__semiring__1(_u6853) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6853), _u6854), _u6855)), _u6856)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6853), _u6855), _u6856)) )).
% 13.06/13.31 cnf(matrix-4077, plain, ( ~class_Rings_Ocomm__semiring__1(_u6857) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6857), _u6858), _u6859)), _u6860)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6857), _u6858), _u6860)) )).
% 13.06/13.31 cnf(matrix-4078, plain, ( ~class_Rings_Odvd(_u6861) | ( _u6862 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6861), _u6863), _u6864)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6861), _u6863), _u6862)) )).
% 13.06/13.31 cnf(matrix-4079, plain, ( ~class_Rings_Ocomm__semiring__1(_u6865) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6865), _u6866), _u6867)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6865), _u6868), _u6869)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6865), _u6866), _u6868)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6865), _u6867), _u6869))) )).
% 13.06/13.31 cnf(matrix-4080, plain, ( ~class_Rings_Ocomm__semiring__1(_u6870) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6870), _u6871), _u6872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6870), _u6871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6870), _u6873), _u6872))) )).
% 13.06/13.31 cnf(matrix-4081, plain, ( ~class_Rings_Ocomm__semiring__1(_u6874) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6874), _u6875), _u6876)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6874), _u6875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6874), _u6876), _u6877))) )).
% 13.06/13.31 cnf(matrix-4082, plain, ( ~class_Rings_Ocomm__semiring__1(_u6878) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6878), _u6879), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6878), _u6880), _u6879))) )).
% 13.06/13.31 cnf(matrix-4083, plain, ( ~class_Rings_Ocomm__semiring__1(_u6881) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6881), _u6882), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6881), _u6882), _u6883))) )).
% 13.06/13.31 cnf(matrix-4084, plain, ( ~class_Rings_Ocomm__semiring__1(_u6884) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6884), _u6885), _u6886)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6884), hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6885), _u6887)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6884), _u6886), _u6887))) )).
% 13.06/13.31 cnf(matrix-4085, plain, ( ~class_Divides_Osemiring__div(_u6888) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6890)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6891)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6890), _u6889)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6891), _u6889))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6890), _u6891)) )).
% 13.06/13.31 cnf(matrix-4086, plain, ( ~class_Divides_Osemiring__div(_u6888) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6890)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6889), _u6891)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), _u6890), _u6891)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6888), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6890), _u6889)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6888), _u6891), _u6889))) )).
% 13.06/13.31 cnf(matrix-4087, plain, ( ~class_Rings_Ocomm__semiring__1(_u6892) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6892), c_Groups_Oone__class_Oone(_u6892)), _u6893)) )).
% 13.06/13.31 cnf(matrix-4088, plain, ( ~class_Rings_Ocomm__semiring__1(_u6894) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6894), c_Groups_Ozero__class_Ozero(_u6894)), _u6895)) | ( _u6895 = c_Groups_Ozero__class_Ozero(_u6894)) )).
% 13.06/13.31 cnf(matrix-4089, plain, ( ~class_Rings_Ocomm__semiring__1(_u6896) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6896), _u6897), _u6898)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6896), _u6898), _u6899)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6896), _u6897), _u6899)) )).
% 13.06/13.31 cnf(matrix-4090, plain, ( ~class_Rings_Ocomm__semiring__1(_u6900) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6900), _u6901), _u6901)) )).
% 13.06/13.31 cnf(matrix-4091, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6904), _u6905)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6904)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6906)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6906), _u6905)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6904), _u6906)) )).
% 13.06/13.31 cnf(matrix-4092, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6904), _u6905)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6904)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6905), _u6906)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6906), _u6905)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6906), _u6904)) )).
% 13.06/13.31 cnf(matrix-4093, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6909), _u6910)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6909)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6911)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6909), _u6911)) )).
% 13.06/13.31 cnf(matrix-4094, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6909), _u6910)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6909)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6910), _u6911)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6911), _u6909)) )).
% 13.06/13.31 cnf(matrix-4095, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6912), _u6913)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6913), _u6912)) | ( _u6913 != _u6914) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6912), _u6914)) )).
% 13.06/13.31 cnf(matrix-4096, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6912), _u6913)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6913), _u6912)) | ( _u6913 != _u6914) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6914), _u6912)) )).
% 13.06/13.31 cnf(matrix-4097, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6915), _u6916)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6916), _u6915)) | ( _u6916 != _u6915) )).
% 13.06/13.31 cnf(matrix-4098, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6917), _u6918)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6918), _u6917)) | ( _u6917 != _u6918) )).
% 13.06/13.31 cnf(matrix-4099, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6925), _u6926)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6926), _u6925)) | ( _u6925 != _u6926) )).
% 13.06/13.31 cnf(matrix-4100, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6928), _u6929)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6929), _u6928)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6927), _u6929)) )).
% 13.06/13.31 cnf(matrix-4101, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6927), _u6928)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6928), _u6929)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6929), _u6928)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6929), _u6927)) )).
% 13.06/13.31 cnf(matrix-4102, plain, ( ( _u6930 != _u6931) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6931), _u6932)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6932), _u6931)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6930), _u6932)) )).
% 13.06/13.31 cnf(matrix-4103, plain, ( ( _u6930 != _u6931) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6931), _u6932)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6932), _u6931)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6932), _u6930)) )).
% 13.06/13.31 cnf(matrix-4104, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6933), _u6934)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6934), _u6935)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6933), _u6935)) )).
% 13.06/13.31 cnf(matrix-4105, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6936), _u6937)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6937), _u6936)) | ( _u6936 = _u6937) )).
% 13.06/13.31 cnf(matrix-4106, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6938), _u6939)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6939), _u6938)) | ( _u6938 = _u6939) )).
% 13.06/13.31 cnf(matrix-4107, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6940), _u6941)) | ( _u6941 != _u6942) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6940), _u6942)) )).
% 13.06/13.31 cnf(matrix-4108, plain, ( ( _u6943 != _u6944) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6944), _u6945)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6943), _u6945)) )).
% 13.06/13.31 cnf(matrix-4109, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6946), _u6947)) | ( _u6946 = _u6947) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6947), _u6946)) )).
% 13.06/13.31 cnf(matrix-4110, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6948), _u6949)) | ( _u6948 = _u6949) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6949), _u6948)) )).
% 13.06/13.31 cnf(matrix-4111, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6950), _u6951)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6951), _u6950)) | ( _u6951 = _u6950) )).
% 13.06/13.31 cnf(matrix-4112, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6950), _u6951)) | ( _u6951 != _u6950) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6951), _u6950)) )).
% 13.06/13.31 cnf(matrix-4113, plain, ( ( _u6952 != _u6953) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6952), _u6953)) )).
% 13.06/13.31 cnf(matrix-4114, plain, ( ( _u6954 = _u6955) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6954), _u6955)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6955), _u6954)) )).
% 13.06/13.31 cnf(matrix-4115, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6958), _u6960)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6960), _u6958)) | ( _u6958 != _u6960) )).
% 13.06/13.31 cnf(matrix-4116, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6959), _u6961)) | ( _u6959 = _u6961) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6961), _u6959)) )).
% 13.06/13.31 cnf(matrix-4117, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6964), _u6966)) | ( _u6964 = _u6966) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6966), _u6964)) )).
% 13.06/13.31 cnf(matrix-4118, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6965), _u6967)) | ( _u6965 != _u6967) )).
% 13.06/13.31 cnf(matrix-4119, plain, ( ( _u6970 != _u6972) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6970), _u6972)) )).
% 13.06/13.31 cnf(matrix-4120, plain, ( ( _u6970 != _u6972) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6972), _u6970)) )).
% 13.06/13.31 cnf(matrix-4121, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6971), _u6973)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u6973), _u6971)) | ( _u6971 = _u6973) )).
% 13.06/13.31 cnf(matrix-4122, plain, ( ~class_Rings_Ocomm__semiring__1(_u6974) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6974), _u6975), _u6976)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6974), _u6975), _u6977)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6974), _u6975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6974), _u6976), _u6977))) )).
% 13.06/13.31 cnf(matrix-4123, plain, ( ~class_Divides_Osemiring__div(_u6978) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6980)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), c_Divides_Odiv__class_Omod(_u6978, _u6981, _u6980))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6981)) )).
% 13.06/13.31 cnf(matrix-4124, plain, ( ~class_Divides_Osemiring__div(_u6978) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6980)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), _u6981)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6978), _u6979), c_Divides_Odiv__class_Omod(_u6978, _u6981, _u6980))) )).
% 13.06/13.31 cnf(matrix-4125, plain, ( ~class_Divides_Osemiring__div(_u6982) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6982), _u6983), _u6984)) | ( c_Divides_Odiv__class_Omod(_u6982, c_Divides_Odiv__class_Omod(_u6982, _u6985, _u6984), _u6983) = c_Divides_Odiv__class_Omod(_u6982, _u6985, _u6983)) )).
% 13.06/13.31 cnf(matrix-4126, plain, ( ~class_Divides_Osemiring__div(_u6986) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6986), _u6987), _u6988)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6986), _u6987), _u6989)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6986), _u6987), c_Divides_Odiv__class_Omod(_u6986, _u6988, _u6989))) )).
% 13.06/13.31 cnf(matrix-4127, plain, ( ~class_Divides_Osemiring__div(_u6990) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6990), _u6991), c_Divides_Odiv__class_Omod(_u6990, _u6992, _u6993))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6990), _u6991), _u6993)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6990), _u6991), _u6992)) )).
% 13.06/13.31 cnf(matrix-4128, plain, ( ~class_Rings_Ocomm__ring__1(_u6994) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6996))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), _u6996)) )).
% 13.06/13.31 cnf(matrix-4129, plain, ( ~class_Rings_Ocomm__ring__1(_u6994) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), _u6996)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6994), _u6995), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6996))) )).
% 13.06/13.31 cnf(matrix-4130, plain, ( ~class_Rings_Ocomm__ring__1(_u6997) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6998)), _u6999)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), _u6998), _u6999)) )).
% 13.06/13.31 cnf(matrix-4131, plain, ( ~class_Rings_Ocomm__ring__1(_u6997) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), _u6998), _u6999)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u6997), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6998)), _u6999)) )).
% 13.06/13.31 cnf(matrix-4132, plain, ( ~class_Rings_Ocomm__ring__1(_u7000) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7000), _u7001), _u7002)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7000), _u7001), _u7003)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7000), _u7001), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7000), _u7002), _u7003))) )).
% 13.06/13.31 cnf(matrix-4133, plain, ( ~class_Rings_Olinordered__idom(_u7004) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), hAPP(c_Groups_Oabs__class_Oabs(_u7004), _u7006))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), _u7006)) )).
% 13.06/13.31 cnf(matrix-4134, plain, ( ~class_Rings_Olinordered__idom(_u7004) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), _u7006)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7004), _u7005), hAPP(c_Groups_Oabs__class_Oabs(_u7004), _u7006))) )).
% 13.06/13.31 cnf(matrix-4135, plain, ( ~class_Rings_Olinordered__idom(_u7007) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), hAPP(c_Groups_Oabs__class_Oabs(_u7007), _u7008)), _u7009)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), _u7008), _u7009)) )).
% 13.06/13.31 cnf(matrix-4136, plain, ( ~class_Rings_Olinordered__idom(_u7007) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), _u7008), _u7009)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7007), hAPP(c_Groups_Oabs__class_Oabs(_u7007), _u7008)), _u7009)) )).
% 13.06/13.31 cnf(matrix-4137, plain, ( ~class_Rings_Olinordered__idom(_u7010) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7010), _u7011) != hAPP(c_Groups_Oabs__class_Oabs(_u7010), _u7012)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7010), _u7011), _u7012)) )).
% 13.06/13.31 cnf(matrix-4138, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7013), _u7014)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7013), _u7015)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7013), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7014), _u7015))) )).
% 13.06/13.31 cnf(matrix-4139, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7020), _u7018))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7018), _u7020)) )).
% 13.06/13.31 cnf(matrix-4140, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7019), _u7021)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7021), _u7019))) )).
% 13.06/13.31 cnf(matrix-4141, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7023), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u7023 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.31 cnf(matrix-4142, plain, ( ( _u7024 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7024), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.31 cnf(matrix-4143, plain, ( ~class_Rings_Oidom(_u7025) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7026), _u7027)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7028), _u7027))) | ( _u7027 = c_Groups_Ozero__class_Ozero(_u7025)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), _u7026), _u7028)) )).
% 13.06/13.31 cnf(matrix-4144, plain, ( ~class_Rings_Oidom(_u7025) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7026), _u7027)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7028), _u7027))) | ( _u7027 != c_Groups_Ozero__class_Ozero(_u7025)) )).
% 13.06/13.31 cnf(matrix-4145, plain, ( ~class_Rings_Oidom(_u7025) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7026), _u7027)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7025), _u7028), _u7027))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7025), _u7026), _u7028)) )).
% 13.06/13.31 cnf(matrix-4146, plain, ( ~class_Rings_Oidom(_u7029) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7032))) | ( _u7030 = c_Groups_Ozero__class_Ozero(_u7029)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), _u7031), _u7032)) )).
% 13.06/13.31 cnf(matrix-4147, plain, ( ~class_Rings_Oidom(_u7029) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7032))) | ( _u7030 != c_Groups_Ozero__class_Ozero(_u7029)) )).
% 13.06/13.31 cnf(matrix-4148, plain, ( ~class_Rings_Oidom(_u7029) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7029), _u7030), _u7032))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7029), _u7031), _u7032)) )).
% 13.06/13.31 cnf(matrix-4149, plain, ( ~class_Divides_Osemiring__div(_u7033) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7033), _u7034), _u7035)) | ( c_Divides_Odiv__class_Omod(_u7033, _u7035, _u7034) = c_Groups_Ozero__class_Ozero(_u7033)) )).
% 13.06/13.31 cnf(matrix-4150, plain, ( ~class_Divides_Osemiring__div(_u7033) | ( c_Divides_Odiv__class_Omod(_u7033, _u7035, _u7034) != c_Groups_Ozero__class_Ozero(_u7033)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7033), _u7034), _u7035)) )).
% 13.06/13.31 cnf(matrix-4151, plain, ( ~class_Divides_Osemiring__div(_u7036) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7036), _u7037), _u7038)) | ( c_Divides_Odiv__class_Omod(_u7036, _u7038, _u7037) = c_Groups_Ozero__class_Ozero(_u7036)) )).
% 13.06/13.31 cnf(matrix-4152, plain, ( ~class_Divides_Osemiring__div(_u7039) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7039), _u7040), _u7041)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7039), _u7040), _u7042)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7039), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7039), _u7041), _u7042)), _u7040) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7039), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7039), _u7041), _u7040)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7039), _u7042), _u7040))) )).
% 13.06/13.32 cnf(matrix-4153, plain, ( ~class_Divides_Osemiring__div(_u7043) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7043), _u7044), _u7045)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7043), _u7046), _u7047)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7043), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7043), _u7045), _u7044)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7043), _u7047), _u7046)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7043), _u7045), _u7047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7043), _u7044), _u7046))) )).
% 13.06/13.32 cnf(matrix-4154, plain, ( ~class_Divides_Osemiring__div(_u7048) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7048), _u7049), _u7050)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7048), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7048), _u7050), _u7049)), _u7051) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7048), _u7050), _u7051)), _u7049)) )).
% 13.06/13.32 cnf(matrix-4155, plain, ( ~class_Divides_Osemiring__div(_u7052) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7052), _u7053), _u7054)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7052), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7052), _u7054), _u7053)), _u7053) = _u7054) )).
% 13.06/13.32 cnf(matrix-4156, plain, ( ~class_Divides_Osemiring__div(_u7055) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7055), _u7056), _u7057)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7055), _u7058), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7055), _u7057), _u7056)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7055), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7055), _u7058), _u7057)), _u7056)) )).
% 13.06/13.32 cnf(matrix-4157, plain, ( ~class_Divides_Osemiring__div(_u7059) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7059), _u7060), _u7061)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7059), _u7060), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7059), _u7061), _u7060)) = _u7061) )).
% 13.06/13.32 cnf(matrix-4158, plain, ( ~class_Divides_Oring__div(_u7062) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7062), _u7063), _u7064)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7062), hAPP(c_Groups_Ouminus__class_Ouminus(_u7062), _u7064)), _u7063) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7062), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7062), _u7064), _u7063))) )).
% 13.06/13.32 cnf(matrix-4159, plain, ( ~class_Divides_Oring__div(_u7065) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7065), _u7066), _u7067)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7065), _u7067), hAPP(c_Groups_Ouminus__class_Ouminus(_u7065), _u7066)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7065), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7065), _u7067), _u7066))) )).
% 13.06/13.32 cnf(matrix-4160, plain, ( ~class_Rings_Ocomm__semiring__1(_u7068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7069), _u7070)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7068), hAPP(hAPP(c_Power_Opower__class_Opower(_u7068), _u7071), _u7069)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7068), _u7071), _u7070))) )).
% 13.06/13.32 cnf(matrix-4161, plain, ( ~class_Rings_Ocomm__semiring__1(_u7072) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7072), _u7073), _u7074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7075), _u7076)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7072), hAPP(hAPP(c_Power_Opower__class_Opower(_u7072), _u7073), _u7075)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7072), _u7074), _u7076))) )).
% 13.06/13.32 cnf(matrix-4162, plain, ( ~class_Rings_Ocomm__semiring__1(_u7077) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7077), hAPP(hAPP(c_Power_Opower__class_Opower(_u7077), _u7078), _u7079)), _u7080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7081), _u7079)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7077), hAPP(hAPP(c_Power_Opower__class_Opower(_u7077), _u7078), _u7081)), _u7080)) )).
% 13.06/13.32 cnf(matrix-4163, plain, ( ~class_Divides_Osemiring__div(_u7082) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7082), _u7083), _u7084)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7082), _u7084), _u7083)), _u7085) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7082), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), _u7084), _u7085)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7082), _u7083), _u7085))) )).
% 13.06/13.32 cnf(matrix-4164, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7087), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7087 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.32 cnf(matrix-4165, plain, ( ( _u7088 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7088), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.32 cnf(matrix-4166, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7089), _u7090)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7090), _u7089)) )).
% 13.06/13.32 cnf(matrix-4167, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7094), _u7096)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7094), _u7098))) | ( _u7094 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7096), _u7098)) )).
% 13.06/13.32 cnf(matrix-4168, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7095), _u7097)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7095), _u7099))) | ( _u7095 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4169, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7095), _u7097)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7095), _u7099))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7097), _u7099)) )).
% 13.06/13.32 cnf(matrix-4170, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7100), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7101), _u7102))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7100), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7102), _u7101)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7100), _u7101)) )).
% 13.06/13.32 cnf(matrix-4171, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7103), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7104), _u7105))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7103), _u7104)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7105), _u7104)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7103), _u7105)) )).
% 13.06/13.32 cnf(matrix-4172, plain, ( ~class_Rings_Odvd(_u7110) | ~class_Rings_Osemiring__0(_u7110) | ~hBOOL(hAPP(_u7111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7110), _u7112), _u7106))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7110), _u7112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7110), skolem100(_u7112, _u7111, _u7110)), c_Groups_Ozero__class_Ozero(_u7110)))) )).
% 13.06/13.32 cnf(matrix-4173, plain, ( ~class_Rings_Odvd(_u7110) | ~class_Rings_Osemiring__0(_u7110) | ~hBOOL(hAPP(_u7111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7110), _u7112), _u7106))) | hBOOL(hAPP(_u7111, skolem100(_u7112, _u7111, _u7110))) )).
% 13.06/13.32 cnf(matrix-4174, plain, ( ~class_Rings_Odvd(_u7110) | ~class_Rings_Osemiring__0(_u7110) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7110), _u7112), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7110), _u7108), c_Groups_Ozero__class_Ozero(_u7110)))) | ~hBOOL(hAPP(_u7111, _u7108)) | hBOOL(hAPP(_u7111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7110), _u7112), skolem101(_u7112, _u7111, _u7110)))) )).
% 13.06/13.32 cnf(matrix-4175, plain, ( ~class_Rings_Ocomm__ring(_u7115) | ~class_Rings_Odvd(_u7115) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7117)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), _u7121), _u7118))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7115), _u7121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7115), _u7119), _u7117))), _u7118))) )).
% 13.06/13.32 cnf(matrix-4176, plain, ( ~class_Rings_Ocomm__ring(_u7115) | ~class_Rings_Odvd(_u7115) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), _u7117)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), _u7122), _u7118))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7115), _u7116), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7115), _u7122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7115), _u7120), _u7117))), _u7118))) )).
% 13.06/13.32 cnf(matrix-4177, plain, ( ~class_Rings_Ocomm__ring(_u7125) | ~class_Rings_Odvd(_u7125) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), _u7127)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), _u7131), _u7128))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7125), _u7131), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7125), _u7129), _u7127))), _u7128))) )).
% 13.06/13.32 cnf(matrix-4178, plain, ( ~class_Rings_Ocomm__ring(_u7125) | ~class_Rings_Odvd(_u7125) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), _u7127)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), _u7132), _u7128))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7125), _u7126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7125), _u7132), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7125), _u7130), _u7127))), _u7128))) )).
% 13.06/13.32 cnf(matrix-4179, plain, ( ~class_Divides_Osemiring__div(_u7133) | ~class_Int_Onumber(_u7133) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7133), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135))) | ( c_Divides_Odiv__class_Omod(_u7133, hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)) = c_Groups_Ozero__class_Ozero(_u7133)) )).
% 13.06/13.32 cnf(matrix-4180, plain, ( ~class_Divides_Osemiring__div(_u7133) | ~class_Int_Onumber(_u7133) | ( c_Divides_Odiv__class_Omod(_u7133, hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)) != c_Groups_Ozero__class_Ozero(_u7133)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7133), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7134)), hAPP(c_Int_Onumber__class_Onumber__of(_u7133), _u7135))) )).
% 13.06/13.32 cnf(matrix-4181, plain, ( ~class_Divides_Osemiring__div(_u7136) | ( _u7137 = c_Groups_Ozero__class_Ozero(_u7136)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7136), _u7137), _u7138)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7136), _u7138), _u7137) != _u7139) | ( _u7138 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7136), _u7139), _u7137)) )).
% 13.06/13.32 cnf(matrix-4182, plain, ( ~class_Divides_Osemiring__div(_u7136) | ( _u7137 = c_Groups_Ozero__class_Ozero(_u7136)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7136), _u7137), _u7138)) | ( _u7138 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7136), _u7139), _u7137)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7136), _u7138), _u7137) = _u7139) )).
% 13.06/13.32 cnf(matrix-4183, plain, ( ~class_Divides_Osemiring__div(_u7140) | ( _u7141 = c_Groups_Ozero__class_Ozero(_u7140)) | ( _u7142 = c_Groups_Ozero__class_Ozero(_u7140)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7141), _u7143)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7142), _u7144)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7143), _u7141) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7144), _u7142)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7143), _u7142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7141), _u7144)) )).
% 13.06/13.32 cnf(matrix-4184, plain, ( ~class_Divides_Osemiring__div(_u7140) | ( _u7141 = c_Groups_Ozero__class_Ozero(_u7140)) | ( _u7142 = c_Groups_Ozero__class_Ozero(_u7140)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7141), _u7143)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7140), _u7142), _u7144)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7143), _u7142) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7140), _u7141), _u7144)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7143), _u7141) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7140), _u7144), _u7142)) )).
% 13.06/13.32 cnf(matrix-4185, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7145), _u7146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7146)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7145), _u7146)) )).
% 13.06/13.32 cnf(matrix-4186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7147)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7149))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7148), _u7149)) )).
% 13.06/13.32 cnf(matrix-4187, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7147)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7148), _u7149)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7148)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7147), _u7149))) )).
% 13.06/13.32 cnf(matrix-4188, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7150), _u7151)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7150), _u7152))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7150)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7151), _u7152)) )).
% 13.06/13.32 cnf(matrix-4189, plain, ( ~class_Rings_Ocomm__semiring__1(_u7153) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7153), _u7155), hAPP(hAPP(c_Power_Opower__class_Opower(_u7153), _u7155), _u7154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7154)) )).
% 13.06/13.32 cnf(matrix-4190, plain, ( ~class_Rings_Ocomm__semiring__1(_u7153) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u7153), _u7155), hAPP(hAPP(c_Power_Opower__class_Opower(_u7153), _u7155), _u7154))) | ( _u7155 != c_Groups_Oone__class_Oone(_u7153)) )).
% 13.06/13.32 cnf(matrix-4191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7156)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7157), _u7156)), _u7156)) | ( _u7157 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7156)) | ( _u7157 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7157), _u7156)), _u7156)) )).
% 13.06/13.32 cnf(matrix-4193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7158)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7158), _u7159)), _u7158)) | ( _u7159 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7158)) | ( _u7159 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7158), _u7159)), _u7158)) )).
% 13.06/13.32 cnf(matrix-4195, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u7160, _u7161, _u7162, _u7163), _u7164), _u7165), _u7166) = c_New__DSequence_Oneg__bind(_u7160, _u7161, hAPP(hAPP(hAPP(_u7162, _u7164), _u7165), _u7166), hAPP(hAPP(c_COMBC(_u7160, 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(_u7161)))), hAPP(hAPP(c_COMBC(_u7160, 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(_u7161))))), hAPP(hAPP(c_COMBC(_u7160, 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(_u7161)))))), _u7163), _u7164)), _u7165)), _u7166))) )).
% 13.06/13.32 cnf(matrix-4196, plain, ( ~class_Orderings_Oorder(_u7167) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7167, 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)))), _u7168) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7169), _u7170)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7170), _u7169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7167), hAPP(_u7168, _u7169)), hAPP(_u7168, _u7170))) )).
% 13.06/13.32 cnf(matrix-4197, plain, ( ~class_Orderings_Oorder(_u7171) | ~c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7171, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7172) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7173), _u7174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7171), hAPP(_u7172, _u7173)), hAPP(_u7172, _u7174))) )).
% 13.06/13.32 cnf(matrix-4198, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7177)), _u7179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7177)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7177), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7179))) )).
% 13.06/13.32 cnf(matrix-4199, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7177)), _u7179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7177)) | ( _u7179 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4200, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7178)), _u7180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7178)) | ( _u7180 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4201, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7178)), _u7180)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7178), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7180))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7178)) )).
% 13.06/13.32 cnf(matrix-4202, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7178)), _u7180)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7178), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7180))) | ( _u7180 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4203, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7181, _u7182, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7181)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7181), _u7183), hAPP(c_Com_Ocom_OBODY, _u7184)), hAPP(hAPP(c_COMBC(_u7181, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7181), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7185)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), hAPP(c_Natural_Ogetlocs, _u7186)))), _u7187)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Oloc, tc_Nat_Onat), c_Natural_Ogetlocs), c_Com_ORes))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7181), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7181, _u7182, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7181)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7181), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7181), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u7186)))), hAPP(hAPP(c_COMBC(_u7181, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7181), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7183)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), hAPP(hAPP(c_COMBB(tc_Com_Ostate, tc_fun(tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), tc_Com_Ostate), c_Natural_Oupdate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_fun(tc_Com_Oloc, tc_Nat_Onat), tc_Com_Ostate), c_Natural_Osetlocs), c_Natural_Onewlocs))), c_Com_Ovname_OLoc(c_Com_OArg))), _u7188)))), c_Com_Ocom_OCall(_u7187, _u7184, _u7188)), _u7185)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7181), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4204, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7189, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7189, tc_HOL_Obool))), _u7190)) )).
% 13.06/13.32 cnf(matrix-4205, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7191), _u7192)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7191), _u7193)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7191), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7192, _u7193))) )).
% 13.06/13.32 cnf(matrix-4206, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7194), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7195, _u7196))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7194), _u7196)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7194), _u7195)) )).
% 13.06/13.32 cnf(matrix-4207, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7199), _u7201)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7199)), _u7201)) )).
% 13.06/13.32 cnf(matrix-4208, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7200)), _u7202)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7200), _u7202)) )).
% 13.06/13.32 cnf(matrix-4209, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7205), _u7207)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7205), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7207))) )).
% 13.06/13.32 cnf(matrix-4210, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7206), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7208))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7206), _u7208)) )).
% 13.06/13.32 cnf(matrix-4211, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7209), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7210), _u7211))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7209), _u7211)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7209), _u7210)) )).
% 13.06/13.32 cnf(matrix-4212, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7212, tc_HOL_Obool)), _u7213), hAPP(hAPP(c_Set_Oinsert(_u7212), _u7214), _u7213))) )).
% 13.06/13.32 cnf(matrix-4213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7216), _u7217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7216), hAPP(hAPP(c_Set_Oinsert(_u7215), _u7218), _u7217))) )).
% 13.06/13.32 cnf(matrix-4214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7219, tc_HOL_Obool)), _u7220), _u7221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7219, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7219), _u7222), _u7220)), hAPP(hAPP(c_Set_Oinsert(_u7219), _u7222), _u7221))) )).
% 13.06/13.32 cnf(matrix-4215, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7223, _u7224, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7223)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7223), hAPP(hAPP(c_COMBC(_u7223, tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7223), c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7223), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u7225))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u7226))), c_Com_Ocom_OWhile(_u7226, _u7227)), _u7225)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7223), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4216, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7228, _u7229, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7228)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7228), _u7230), _u7231), _u7232)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7228), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7228, _u7229, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7228)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7228), _u7232), _u7233), _u7234)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7228), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7228, _u7229, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7228)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7228), _u7230), c_Com_Ocom_OSemi(_u7231, _u7233)), _u7234)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7228), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4217, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7235, _u7236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7235)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7235), _u7237), c_Com_Ocom_OSKIP), _u7237)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7235), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4218, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7238, _u7239, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7238)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7238), _u7240), c_Com_Ocom_OSKIP), _u7240)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7238), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4219, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7241, tc_HOL_Obool)), _u7242), hAPP(hAPP(c_Set_Oinsert(_u7241), _u7243), _u7244)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7241, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7241, tc_HOL_Obool)), _u7242), _u7244)), hAPP(hAPP(c_Set_Oinsert(_u7241), _u7243), c_Orderings_Obot__class_Obot(tc_fun(_u7241, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4220, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7245, tc_HOL_Obool)), _u7246), hAPP(hAPP(c_Set_Oinsert(_u7245), _u7247), _u7248)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7245, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7245, tc_HOL_Obool)), _u7246), hAPP(hAPP(c_Set_Oinsert(_u7245), _u7247), c_Orderings_Obot__class_Obot(tc_fun(_u7245, tc_HOL_Obool))))), _u7248)) )).
% 13.06/13.32 cnf(matrix-4221, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7249), _u7250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7249, tc_HOL_Obool)), _u7251), hAPP(hAPP(c_Set_Oinsert(_u7249), _u7250), c_Orderings_Obot__class_Obot(tc_fun(_u7249, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u7249), _u7250), _u7251)) )).
% 13.06/13.32 cnf(matrix-4222, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7252, _u7253, _u7254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7252), tc_HOL_Obool)), _u7253), _u7255)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7252, _u7255, _u7254) )).
% 13.06/13.32 cnf(matrix-4223, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7256, _u7257, _u7258) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7256), tc_HOL_Obool)), _u7259), _u7258)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7256, _u7257, _u7259) )).
% 13.06/13.32 cnf(matrix-4224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7260), tc_HOL_Obool)), _u7261), _u7262)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7260, _u7262, _u7261) )).
% 13.06/13.32 cnf(matrix-4225, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7263)), _u7265), _u7266)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7263)), _u7265), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7263), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4226, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7263)), _u7265), _u7266)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7263, _u7264, _u7266) )).
% 13.06/13.32 cnf(matrix-4227, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7267, _u7268, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7267)), _u7269), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7267), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7267, _u7268, _u7270) | c_Hoare__Mirabelle_Ohoare__derivs(_u7267, _u7268, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7267)), _u7269), _u7270)) )).
% 13.06/13.32 cnf(matrix-4228, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7271, _u7272, _u7273) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7271, _u7274, _u7272) | c_Hoare__Mirabelle_Ohoare__derivs(_u7271, _u7274, _u7273) )).
% 13.06/13.32 cnf(matrix-4229, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7275, _u7276, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7275), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4230, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7277, _u7278, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7277), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4231, plain, ( ~class_Orderings_Obot(_u7279) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7280, _u7279)), _u7281) = c_Orderings_Obot__class_Obot(_u7279)) )).
% 13.06/13.32 cnf(matrix-4232, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u7282, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u7282), _u7283), _u7284)) )).
% 13.06/13.32 cnf(matrix-4233, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7285), _u7286), _u7287) != c_Orderings_Obot__class_Obot(tc_fun(_u7285, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4234, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7288), _u7289), hAPP(hAPP(c_Set_Oinsert(_u7288), _u7289), _u7290)) = hAPP(hAPP(c_Set_Oinsert(_u7288), _u7289), _u7290)) )).
% 13.06/13.32 cnf(matrix-4235, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7291), _u7292), hAPP(hAPP(c_Set_Oinsert(_u7291), _u7293), _u7294)) = hAPP(hAPP(c_Set_Oinsert(_u7291), _u7293), hAPP(hAPP(c_Set_Oinsert(_u7291), _u7292), _u7294))) )).
% 13.06/13.32 cnf(matrix-4236, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7302 = _u7306) | ( _u7302 = _u7308) )).
% 13.06/13.32 cnf(matrix-4237, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7302 = _u7306) | ( _u7304 = _u7306) )).
% 13.06/13.32 cnf(matrix-4238, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7304 = _u7308) | ( _u7302 = _u7308) )).
% 13.06/13.32 cnf(matrix-4239, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7300), _u7302), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7304), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u7300), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7300), _u7308), c_Orderings_Obot__class_Obot(tc_fun(_u7300, tc_HOL_Obool))))) | ( _u7304 = _u7308) | ( _u7304 = _u7306) )).
% 13.06/13.32 cnf(matrix-4240, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7301), _u7303), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7305), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u7301), _u7307), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7309), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool))))) | ( _u7303 != _u7307) | ( _u7305 != _u7309) )).
% 13.06/13.32 cnf(matrix-4241, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7301), _u7303), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7305), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u7301), _u7307), hAPP(hAPP(c_Set_Oinsert(_u7301), _u7309), c_Orderings_Obot__class_Obot(tc_fun(_u7301, tc_HOL_Obool))))) | ( _u7303 != _u7309) | ( _u7305 != _u7307) )).
% 13.06/13.32 cnf(matrix-4242, plain, ( ( _u7316 = _u7320) | hBOOL(hAPP(_u7318, _u7320)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u7314), _u7316), _u7318), _u7320)) )).
% 13.06/13.32 cnf(matrix-4243, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u7315), _u7317), _u7319), _u7321)) | ( _u7317 != _u7321) )).
% 13.06/13.32 cnf(matrix-4244, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u7315), _u7317), _u7319), _u7321)) | ~hBOOL(hAPP(_u7319, _u7321)) )).
% 13.06/13.32 cnf(matrix-4245, plain, ( ( _u7323 = _u7324) | ( hAPP(hAPP(c_Set_Oinsert(_u7322), _u7323), c_Orderings_Obot__class_Obot(tc_fun(_u7322, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u7322), _u7324), c_Orderings_Obot__class_Obot(tc_fun(_u7322, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7325, tc_HOL_Obool)), _u7326), hAPP(hAPP(c_Set_Oinsert(_u7325), _u7327), c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_HOL_Obool))))) | ( _u7326 = c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_HOL_Obool))) | ( _u7326 = hAPP(hAPP(c_Set_Oinsert(_u7325), _u7327), c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4247, plain, ( ~class_Orderings_Obot(_u7328) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7329, _u7328)), _u7330) = c_Orderings_Obot__class_Obot(_u7328)) )).
% 13.06/13.32 cnf(matrix-4248, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7331, _u7332, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7331)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7331), hAPP(hAPP(c_COMBC(_u7331, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7331), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7333)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u7334)), _u7335))), c_Com_Ocom_OAss(_u7334, _u7335)), _u7333)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7331), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4249, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7336, _u7337, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7336)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7336), hAPP(hAPP(c_COMBC(_u7336, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7336), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7338)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u7339)), _u7340))), c_Com_Ocom_OAss(_u7339, _u7340)), _u7338)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7336), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4250, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7341), _u7342)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7342), _u7341)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7341) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7342)) )).
% 13.06/13.32 cnf(matrix-4251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7345, tc_HOL_Obool)), _u7347), c_Orderings_Obot__class_Obot(tc_fun(_u7345, tc_HOL_Obool)))) | ( _u7347 = c_Orderings_Obot__class_Obot(tc_fun(_u7345, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4252, plain, ( ( _u7348 != c_Orderings_Obot__class_Obot(tc_fun(_u7346, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7346, tc_HOL_Obool)), _u7348), c_Orderings_Obot__class_Obot(tc_fun(_u7346, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4253, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7349, tc_HOL_Obool)), _u7350), _u7350) = c_Orderings_Obot__class_Obot(tc_fun(_u7349, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4254, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7351, tc_HOL_Obool)), _u7352), c_Orderings_Obot__class_Obot(tc_fun(_u7351, tc_HOL_Obool))) = _u7352) )).
% 13.06/13.32 cnf(matrix-4255, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7353, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7353, tc_HOL_Obool))), _u7354) = c_Orderings_Obot__class_Obot(tc_fun(_u7353, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7355, tc_HOL_Obool)), _u7356), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4257, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7357, _u7358, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7357)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7357), _u7359), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u7360))), _u7361)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7357), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7357, _u7358, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7357)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7357), _u7359), hAPP(c_Com_Ocom_OBODY, _u7360)), _u7361)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7357), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4258, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7362, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7362), _u7363), hAPP(c_Com_Ocom_OBODY, _u7364)), _u7365)), _u7366), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7362), _u7363), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u7364))), _u7365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7362), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7362, _u7366, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7362)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7362), _u7363), hAPP(c_Com_Ocom_OBODY, _u7364)), _u7365)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7362), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4259, plain, ( ~class_Orderings_Obot(_u7367) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7367), c_Orderings_Obot__class_Obot(_u7367)), _u7368)) )).
% 13.06/13.32 cnf(matrix-4260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7369), _u7370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7370), _u7369)) | ( _u7369 = _u7370) )).
% 13.06/13.32 cnf(matrix-4261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7371), _u7372)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7372), _u7371)) )).
% 13.06/13.32 cnf(matrix-4262, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7373, _u7374, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7373)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7373), _u7375), _u7376), hAPP(hAPP(c_COMBC(_u7373, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7373), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7377)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u7378))), hAPP(hAPP(c_Natural_Ogetlocs, _u7379), _u7378))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7373), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7373, _u7374, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7373)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7373), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7373), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u7379)))), hAPP(hAPP(c_COMBC(_u7373, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u7373), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u7375)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u7378))), _u7380)))), c_Com_Ocom_OLocal(_u7378, _u7380, _u7376)), _u7377)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7373), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4263, plain, ( ( _u7381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7382), _u7383)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7383))) )).
% 13.06/13.32 cnf(matrix-4264, plain, ( ( _u7381 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7382)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7381), _u7383))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7382), _u7383)) )).
% 13.06/13.32 cnf(matrix-4265, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7384), _u7385)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7384), _u7386))) | ( _u7384 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7385), _u7386)) )).
% 13.06/13.32 cnf(matrix-4266, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7390), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7390), _u7394)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7390), _u7392)) )).
% 13.06/13.32 cnf(matrix-4267, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7391), _u7393)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7393), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7391), _u7395)))) )).
% 13.06/13.32 cnf(matrix-4268, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), _u7397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), _u7399))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7400), _u7397))), _u7399))) )).
% 13.06/13.32 cnf(matrix-4269, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), _u7397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7400), _u7397))), _u7399))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7398), _u7399))) )).
% 13.06/13.32 cnf(matrix-4270, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7403), _u7405)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7403)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7405))) )).
% 13.06/13.32 cnf(matrix-4271, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7404)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7406))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7404), _u7406)) )).
% 13.06/13.32 cnf(matrix-4272, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7409)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7411))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7409), _u7411)) )).
% 13.06/13.32 cnf(matrix-4273, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7410), _u7412)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7410)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7412))) )).
% 13.06/13.32 cnf(matrix-4274, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7413), _u7414)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7413), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7414), _u7413)) = _u7414) )).
% 13.06/13.32 cnf(matrix-4275, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7418, _u7420) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7422, _u7420)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7420), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7418), _u7422))) )).
% 13.06/13.32 cnf(matrix-4276, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7419), _u7423))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7419, _u7421) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7423, _u7421)) )).
% 13.06/13.32 cnf(matrix-4277, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7425), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7425) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.32 cnf(matrix-4278, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7426) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7426), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 13.06/13.32 cnf(matrix-4279, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7427), _u7428)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7428), _u7427)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7428)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7427))) )).
% 13.06/13.32 cnf(matrix-4280, plain, ( ~class_Orderings_Oorder(_u7429) | ~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7429, 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)))), _u7430) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7429, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7430) )).
% 13.06/13.32 cnf(matrix-4281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7433, tc_HOL_Obool)), _u7435), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7433, tc_HOL_Obool)), _u7435))) | ( _u7435 = c_Orderings_Obot__class_Obot(tc_fun(_u7433, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4282, plain, ( ( _u7436 != c_Orderings_Obot__class_Obot(tc_fun(_u7434, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7434, tc_HOL_Obool)), _u7436), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7434, tc_HOL_Obool)), _u7436))) )).
% 13.06/13.32 cnf(matrix-4283, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7437), _u7438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7437), _u7438)) )).
% 13.06/13.32 cnf(matrix-4284, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7441)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7443))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7443), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7441)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 13.06/13.32 cnf(matrix-4285, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7444), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7442)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7442)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7444))) )).
% 13.06/13.32 cnf(matrix-4286, plain, ( ( _u7445 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7446), _u7445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7446)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7445))) )).
% 13.06/13.32 cnf(matrix-4287, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7448)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7447)), hAPP(c_Int_Onat, _u7448))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7447), _u7448)) )).
% 13.06/13.32 cnf(matrix-4288, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7448)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7447), _u7448)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, _u7447)), hAPP(c_Int_Onat, _u7448))) )).
% 13.06/13.32 cnf(matrix-4289, plain, ( ( _u7449 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7449), _u7450)), _u7449)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7450) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 13.06/13.32 cnf(matrix-4290, plain, ( ( _u7449 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7450) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7449), _u7450)), _u7449)) )).
% 13.06/13.32 cnf(matrix-4291, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7453)), _u7455)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7453), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7455)))) )).
% 13.06/13.32 cnf(matrix-4292, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7454), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7456)))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7454)), _u7456)) )).
% 13.06/13.32 cnf(matrix-4293, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7459), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7461))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7459))), _u7461)) )).
% 13.06/13.32 cnf(matrix-4294, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7460))), _u7462)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u7460), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7462))) )).
% 13.06/13.32 cnf(matrix-4295, plain, ( ( c_Set_Othe__elem(_u7463, _u7464) = c_HOL_OThe(_u7463, hAPP(hAPP(c_COMBB(tc_fun(_u7463, tc_HOL_Obool), tc_HOL_Obool, _u7463), hAPP(c_fequal, _u7464)), hAPP(hAPP(c_COMBC(_u7463, tc_fun(_u7463, tc_HOL_Obool), tc_fun(_u7463, tc_HOL_Obool)), c_Set_Oinsert(_u7463)), c_Orderings_Obot__class_Obot(tc_fun(_u7463, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4296, plain, ( ( c_Set_Othe__elem(_u7465, hAPP(hAPP(c_Set_Oinsert(_u7465), _u7466), c_Orderings_Obot__class_Obot(tc_fun(_u7465, tc_HOL_Obool)))) = _u7466) )).
% 13.06/13.32 cnf(matrix-4297, plain, ( ( c_Option_Oset(_u7467, hAPP(c_Option_Ooption_OSome(_u7467), _u7468)) = hAPP(hAPP(c_Set_Oinsert(_u7467), _u7468), c_Orderings_Obot__class_Obot(tc_fun(_u7467, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4298, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7472, _u7473, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7472)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7472), _u7471), _u7474), _u7475)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7472), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7471, skolem102(_u7475, _u7474, _u7473, _u7472, _u7471)), skolem103(_u7475, _u7474, _u7473, _u7472, _u7471))) )).
% 13.06/13.32 cnf(matrix-4299, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7472, _u7473, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7472)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7472), _u7471), _u7474), _u7475)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7472), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7472, _u7473, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7472)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7472), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7472), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem103(_u7475, _u7474, _u7473, _u7472, _u7471)))), _u7474), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7472), hAPP(_u7475, skolem102(_u7475, _u7474, _u7473, _u7472, _u7471))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7472), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4300, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7480), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7483), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7483, skolem104(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478)), skolem105(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478))) )).
% 13.06/13.32 cnf(matrix-4301, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7480), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7478, _u7479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7478), _u7483), _u7481), _u7482)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7478), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u7480, skolem104(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478)), skolem105(_u7483, _u7482, _u7481, _u7480, _u7479, _u7478))) )).
% 13.06/13.32 cnf(matrix-4302, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4303, plain, ( ( c_Option_Oset(_u7486, _u7488) != c_Orderings_Obot__class_Obot(tc_fun(_u7486, tc_HOL_Obool))) | ( _u7488 = c_Option_Ooption_ONone(_u7486)) )).
% 13.06/13.32 cnf(matrix-4304, plain, ( ( _u7489 != c_Option_Ooption_ONone(_u7487)) | ( c_Option_Oset(_u7487, _u7489) = c_Orderings_Obot__class_Obot(tc_fun(_u7487, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4305, plain, ( ( c_Option_Oset(_u7490, c_Option_Ooption_ONone(_u7490)) = c_Orderings_Obot__class_Obot(tc_fun(_u7490, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4306, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7497)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7498)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7497, skolem106(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493)), skolem107(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493))) )).
% 13.06/13.32 cnf(matrix-4307, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7497)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), _u7495), _u7496), _u7498)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u7498, skolem106(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493)), skolem107(_u7498, _u7497, _u7496, _u7495, _u7494, _u7493))) )).
% 13.06/13.32 cnf(matrix-4308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), _u7509))) | ~hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), _u7509)) )).
% 13.06/13.32 cnf(matrix-4309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), _u7509))) | hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7509)) | ~hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), c_Orderings_Obot__class_Obot(tc_fun(_u7503, tc_HOL_Obool))))), _u7509)) )).
% 13.06/13.32 cnf(matrix-4310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7503, tc_HOL_Obool)), _u7505), hAPP(hAPP(c_Set_Oinsert(_u7503), _u7507), _u7509))) | hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7509)) | hBOOL(hAPP(hAPP(c_member(_u7503), _u7507), _u7505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7503, tc_HOL_Obool)), _u7505), _u7509)) )).
% 13.06/13.32 cnf(matrix-4311, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.06/13.32 cnf(matrix-4312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) )).
% 13.06/13.32 cnf(matrix-4313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.06/13.32 cnf(matrix-4314, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | ~hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7510)) )).
% 13.06/13.32 cnf(matrix-4315, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.06/13.32 cnf(matrix-4316, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_member(_u7504), _u7508), _u7506)) )).
% 13.06/13.32 cnf(matrix-4317, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), _u7510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7504, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7504, tc_HOL_Obool)), _u7506), hAPP(hAPP(c_Set_Oinsert(_u7504), _u7508), c_Orderings_Obot__class_Obot(tc_fun(_u7504, tc_HOL_Obool))))), _u7510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7504, tc_HOL_Obool)), _u7506), _u7510)) )).
% 13.06/13.32 cnf(matrix-4318, plain, ( ~class_Orderings_Oorder(_u7513) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7513, 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)))), _u7514) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem108(_u7514, _u7513)), skolem109(_u7514, _u7513))) )).
% 13.06/13.32 cnf(matrix-4319, plain, ( ~class_Orderings_Oorder(_u7513) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7513, 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)))), _u7514) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem109(_u7514, _u7513)), skolem108(_u7514, _u7513))) )).
% 13.06/13.32 cnf(matrix-4320, plain, ( ~class_Orderings_Oorder(_u7513) | c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat, _u7513, 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)))), _u7514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7513), hAPP(_u7514, skolem108(_u7514, _u7513))), hAPP(_u7514, skolem109(_u7514, _u7513)))) )).
% 13.06/13.32 cnf(matrix-4321, plain, ( ~class_Orderings_Oorder(_u7517) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7517, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7518) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), skolem110(_u7518, _u7517)), skolem111(_u7518, _u7517))) )).
% 13.06/13.32 cnf(matrix-4322, plain, ( ~class_Orderings_Oorder(_u7517) | c_Orderings_Oorder_Omono(tc_Nat_Onat, _u7517, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u7518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7517), hAPP(_u7518, skolem110(_u7518, _u7517))), hAPP(_u7518, skolem111(_u7518, _u7517)))) )).
% 13.06/13.32 cnf(matrix-4323, plain, ( ( _u7519 != _u7520) | hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7519)) | ~hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7520)) )).
% 13.06/13.32 cnf(matrix-4324, plain, ( ( _u7519 != _u7520) | hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7520)) | ~hBOOL(hAPP(hAPP(c_member(_u7521), _u7522), _u7519)) )).
% 13.06/13.32 cnf(matrix-4325, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7523), _u7524), c_Orderings_Obot__class_Obot(tc_fun(_u7523, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4326, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7525), _u7526), hAPP(hAPP(c_Set_Oinsert(_u7525), _u7527), _u7528))) | ( _u7526 = _u7527) | hBOOL(hAPP(hAPP(c_member(_u7525), _u7526), _u7528)) )).
% 13.06/13.32 cnf(matrix-4327, plain, ( hBOOL(hAPP(hAPP(c_member(_u7529), _u7530), hAPP(hAPP(c_Set_Oinsert(_u7529), _u7532), _u7531))) | ~hBOOL(hAPP(hAPP(c_member(_u7529), _u7530), _u7531)) )).
% 13.06/13.32 cnf(matrix-4328, plain, ( hBOOL(hAPP(hAPP(c_member(_u7529), _u7530), hAPP(hAPP(c_Set_Oinsert(_u7529), _u7532), _u7531))) | ( _u7530 != _u7532) )).
% 13.06/13.32 cnf(matrix-4329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7533, tc_HOL_Obool)), _u7534), _u7535)) | ~hBOOL(hAPP(hAPP(c_member(_u7533), _u7536), _u7534)) | hBOOL(hAPP(hAPP(c_member(_u7533), _u7536), _u7535)) )).
% 13.06/13.32 cnf(matrix-4330, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7537, tc_HOL_Obool)), _u7539), _u7540))) | hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), _u7539)) )).
% 13.06/13.32 cnf(matrix-4331, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7537, tc_HOL_Obool)), _u7539), _u7540))) | ~hBOOL(hAPP(hAPP(c_member(_u7537), _u7538), _u7540)) )).
% 13.06/13.32 cnf(matrix-4332, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7541), _u7542), _u7543)) | hBOOL(hAPP(hAPP(c_member(_u7541), _u7542), _u7544)) | hBOOL(hAPP(hAPP(c_member(_u7541), _u7542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7541, tc_HOL_Obool)), _u7543), _u7544))) )).
% 13.06/13.32 cnf(matrix-4333, plain, ( hBOOL(hAPP(hAPP(c_member(_u7545), _u7546), _u7547)) | hBOOL(hAPP(hAPP(c_member(_u7545), _u7546), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7545, tc_HOL_Obool)), _u7547))) )).
% 13.06/13.32 cnf(matrix-4334, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7548), _u7549), hAPP(hAPP(_u7550, _u7551), _u7552))) | hBOOL(hAPP(hAPP(c_member(_u7548), _u7549), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7553, _u7554, tc_fun(_u7548, tc_HOL_Obool)), _u7550), hAPP(hAPP(c_Product__Type_OPair(_u7553, _u7554), _u7551), _u7552)))) )).
% 13.06/13.32 cnf(matrix-4335, plain, ( hBOOL(hAPP(hAPP(c_member(_u7555), _u7556), hAPP(hAPP(c_Set_Oinsert(_u7555), _u7556), _u7557))) )).
% 13.06/13.32 cnf(matrix-4336, plain, ( hBOOL(hAPP(hAPP(c_member(_u7562), skolem112(_u7564, _u7562)), _u7564)) | ( _u7564 = c_Orderings_Obot__class_Obot(tc_fun(_u7562, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4337, plain, ( ( _u7565 != c_Orderings_Obot__class_Obot(tc_fun(_u7563, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7563), _u7559), _u7565)) )).
% 13.06/13.32 cnf(matrix-4338, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7570), _u7566), _u7572)) | ( _u7572 != c_Orderings_Obot__class_Obot(tc_fun(_u7570, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4339, plain, ( ( _u7573 = c_Orderings_Obot__class_Obot(tc_fun(_u7571, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u7571), skolem113(_u7573, _u7571)), _u7573)) )).
% 13.06/13.32 cnf(matrix-4340, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7574), _u7575), c_Orderings_Obot__class_Obot(tc_fun(_u7574, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4341, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7580), _u7582), hAPP(hAPP(c_Set_Oinsert(_u7580), _u7584), _u7586))) | ( _u7582 = _u7584) | hBOOL(hAPP(hAPP(c_member(_u7580), _u7582), _u7586)) )).
% 13.06/13.32 cnf(matrix-4342, plain, ( hBOOL(hAPP(hAPP(c_member(_u7581), _u7583), hAPP(hAPP(c_Set_Oinsert(_u7581), _u7585), _u7587))) | ( _u7583 != _u7585) )).
% 13.06/13.32 cnf(matrix-4343, plain, ( hBOOL(hAPP(hAPP(c_member(_u7581), _u7583), hAPP(hAPP(c_Set_Oinsert(_u7581), _u7585), _u7587))) | ~hBOOL(hAPP(hAPP(c_member(_u7581), _u7583), _u7587)) )).
% 13.06/13.32 cnf(matrix-4344, plain, ( hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7590)) | hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7591)) | ( hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7590) != hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7591)) | ( _u7590 = _u7591) )).
% 13.06/13.32 cnf(matrix-4345, plain, ( hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7590)) | hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7591)) | ( _u7590 != _u7591) | ( hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7590) = hAPP(hAPP(c_Set_Oinsert(_u7588), _u7589), _u7591)) )).
% 13.06/13.32 cnf(matrix-4346, plain, ( ( _u7592 != c_Orderings_Obot__class_Obot(tc_fun(_u7593, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7593), _u7594), _u7592)) )).
% 13.06/13.32 cnf(matrix-4347, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7595), _u7596), _u7597)) | hBOOL(hAPP(hAPP(c_member(_u7595), _u7596), hAPP(hAPP(c_Set_Oinsert(_u7595), _u7598), _u7597))) )).
% 13.06/13.32 cnf(matrix-4348, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7599), _u7600), _u7601)) | ( hAPP(hAPP(c_Set_Oinsert(_u7599), _u7600), _u7601) = _u7601) )).
% 13.06/13.32 cnf(matrix-4349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7602, tc_HOL_Obool)), _u7603), _u7604)) | ~hBOOL(hAPP(hAPP(c_member(_u7602), _u7605), _u7603)) | hBOOL(hAPP(hAPP(c_member(_u7602), _u7605), _u7604)) )).
% 13.06/13.32 cnf(matrix-4350, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7606), _u7607), _u7608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7606, tc_HOL_Obool)), _u7608), _u7609)) | hBOOL(hAPP(hAPP(c_member(_u7606), _u7607), _u7609)) )).
% 13.06/13.32 cnf(matrix-4351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7610, tc_HOL_Obool)), _u7611), _u7612)) | ~hBOOL(hAPP(hAPP(c_member(_u7610), _u7613), _u7611)) | hBOOL(hAPP(hAPP(c_member(_u7610), _u7613), _u7612)) )).
% 13.06/13.32 cnf(matrix-4352, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7617), _u7619), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7617, tc_HOL_Obool)), _u7621))) | ~hBOOL(hAPP(hAPP(c_member(_u7617), _u7619), _u7621)) )).
% 13.06/13.32 cnf(matrix-4353, plain, ( hBOOL(hAPP(hAPP(c_member(_u7618), _u7620), _u7622)) | hBOOL(hAPP(hAPP(c_member(_u7618), _u7620), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7618, tc_HOL_Obool)), _u7622))) )).
% 13.06/13.32 cnf(matrix-4354, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7623), _u7624), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7623, tc_HOL_Obool)), _u7625))) | ~hBOOL(hAPP(hAPP(c_member(_u7623), _u7624), _u7625)) )).
% 13.06/13.32 cnf(matrix-4355, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7626), _u7627), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7626, tc_HOL_Obool)), _u7628))) | ~hBOOL(hAPP(hAPP(c_member(_u7626), _u7627), _u7628)) )).
% 13.06/13.32 cnf(matrix-4356, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7633, tc_HOL_Obool)), _u7637), _u7639))) | hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), _u7637)) )).
% 13.06/13.32 cnf(matrix-4357, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7633, tc_HOL_Obool)), _u7637), _u7639))) | ~hBOOL(hAPP(hAPP(c_member(_u7633), _u7635), _u7639)) )).
% 13.06/13.32 cnf(matrix-4358, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7634), _u7636), _u7638)) | hBOOL(hAPP(hAPP(c_member(_u7634), _u7636), _u7640)) | hBOOL(hAPP(hAPP(c_member(_u7634), _u7636), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7638), _u7640))) )).
% 13.06/13.32 cnf(matrix-4359, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7641), _u7642), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7641, tc_HOL_Obool)), _u7643), _u7644))) | hBOOL(hAPP(hAPP(c_member(_u7641), _u7642), _u7643)) )).
% 13.06/13.32 cnf(matrix-4360, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7645), _u7646), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7645, tc_HOL_Obool)), _u7647), _u7648))) | ~hBOOL(hAPP(hAPP(c_member(_u7645), _u7646), _u7648)) )).
% 13.06/13.32 cnf(matrix-4361, plain, ( hBOOL(hAPP(_u7656, _u7654)) | ~hBOOL(hAPP(hAPP(c_member(_u7652), _u7654), _u7656)) )).
% 13.06/13.32 cnf(matrix-4362, plain, ( ~hBOOL(hAPP(_u7657, _u7655)) | hBOOL(hAPP(hAPP(c_member(_u7653), _u7655), _u7657)) )).
% 13.06/13.32 cnf(matrix-4363, plain, ( ( _u7658 != _u7659) | ~hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7658)) | hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7659)) )).
% 13.06/13.32 cnf(matrix-4364, plain, ( ( _u7658 != _u7659) | ~hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7659)) | hBOOL(hAPP(hAPP(c_member(_u7660), _u7661), _u7658)) )).
% 13.06/13.32 cnf(matrix-4365, plain, ( ( _u7662 != _u7663) | ~hBOOL(hAPP(hAPP(c_member(_u7664), _u7662), _u7665)) | hBOOL(hAPP(hAPP(c_member(_u7664), _u7663), _u7665)) )).
% 13.06/13.32 cnf(matrix-4366, plain, ( ( _u7662 != _u7663) | ~hBOOL(hAPP(hAPP(c_member(_u7664), _u7663), _u7665)) | hBOOL(hAPP(hAPP(c_member(_u7664), _u7662), _u7665)) )).
% 13.06/13.32 cnf(matrix-4367, plain, ( ( _u7666 != _u7667) | ~hBOOL(hAPP(hAPP(c_member(_u7668), _u7667), _u7669)) | hBOOL(hAPP(hAPP(c_member(_u7668), _u7666), _u7669)) )).
% 13.06/13.32 cnf(matrix-4368, plain, ( ( _u7675 = _u7677) | ( hAPP(hAPP(c_COMBC(_u7673, tc_fun(_u7673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7673)), _u7675) != hAPP(hAPP(c_COMBC(_u7673, tc_fun(_u7673, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7673)), _u7677)) )).
% 13.06/13.32 cnf(matrix-4369, plain, ( ( _u7676 != _u7678) | ( hAPP(hAPP(c_COMBC(_u7674, tc_fun(_u7674, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7674)), _u7676) = hAPP(hAPP(c_COMBC(_u7674, tc_fun(_u7674, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7674)), _u7678)) )).
% 13.06/13.32 cnf(matrix-4370, plain, ( ( _u7684 = _u7686) | ~hBOOL(hAPP(hAPP(c_member(_u7682), _u7684), hAPP(c_fequal, _u7686))) )).
% 13.06/13.32 cnf(matrix-4371, plain, ( ( _u7685 != _u7687) | hBOOL(hAPP(hAPP(c_member(_u7683), _u7685), hAPP(c_fequal, _u7687))) )).
% 13.06/13.32 cnf(matrix-4372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7688, tc_HOL_Obool)), _u7689), _u7690)) | ~hBOOL(hAPP(hAPP(c_member(_u7688), _u7691), _u7689)) | hBOOL(hAPP(hAPP(c_member(_u7688), _u7691), _u7690)) )).
% 13.06/13.32 cnf(matrix-4373, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7694, tc_HOL_Obool)), _u7696)) | hBOOL(hAPP(hAPP(c_member(_u7694), _u7696), c_Orderings_Obot__class_Obot(tc_fun(_u7694, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4374, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7695), _u7697), c_Orderings_Obot__class_Obot(tc_fun(_u7695, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7695, tc_HOL_Obool)), _u7697)) )).
% 13.06/13.32 cnf(matrix-4375, plain, ( ( _u7706 = _u7708) | ( hAPP(hAPP(c_COMBC(_u7702, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), _u7702), c_COMBC(_u7704, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_prod(_u7702, _u7704)), tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), _u7702), hAPP(c_COMBB(tc_prod(_u7702, _u7704), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool), _u7704), c_member(tc_prod(_u7702, _u7704)))), c_Product__Type_OPair(_u7702, _u7704)))), _u7706) != hAPP(hAPP(c_COMBC(_u7702, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_fun(_u7704, tc_HOL_Obool)), _u7702), c_COMBC(_u7704, tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7704, tc_prod(_u7702, _u7704)), tc_fun(_u7704, tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool)), _u7702), hAPP(c_COMBB(tc_prod(_u7702, _u7704), tc_fun(tc_fun(tc_prod(_u7702, _u7704), tc_HOL_Obool), tc_HOL_Obool), _u7704), c_member(tc_prod(_u7702, _u7704)))), c_Product__Type_OPair(_u7702, _u7704)))), _u7708)) )).
% 13.06/13.32 cnf(matrix-4376, plain, ( ( _u7707 != _u7709) | ( hAPP(hAPP(c_COMBC(_u7703, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), _u7703), c_COMBC(_u7705, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_prod(_u7703, _u7705)), tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), _u7703), hAPP(c_COMBB(tc_prod(_u7703, _u7705), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool), _u7705), c_member(tc_prod(_u7703, _u7705)))), c_Product__Type_OPair(_u7703, _u7705)))), _u7707) = hAPP(hAPP(c_COMBC(_u7703, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_fun(_u7705, tc_HOL_Obool)), _u7703), c_COMBC(_u7705, tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7705, tc_prod(_u7703, _u7705)), tc_fun(_u7705, tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool)), _u7703), hAPP(c_COMBB(tc_prod(_u7703, _u7705), tc_fun(tc_fun(tc_prod(_u7703, _u7705), tc_HOL_Obool), tc_HOL_Obool), _u7705), c_member(tc_prod(_u7703, _u7705)))), c_Product__Type_OPair(_u7703, _u7705)))), _u7709)) )).
% 13.06/13.32 cnf(matrix-4377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7714, tc_fun(_u7716, tc_HOL_Obool))), _u7718), _u7720)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7714, _u7716)), hAPP(hAPP(c_Product__Type_OPair(_u7714, _u7716), _u7718), _u7720)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7714, _u7716), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4378, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7715, _u7717)), hAPP(hAPP(c_Product__Type_OPair(_u7715, _u7717), _u7719), _u7721)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7715, _u7717), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7715, tc_fun(_u7717, tc_HOL_Obool))), _u7719), _u7721)) )).
% 13.06/13.32 cnf(matrix-4379, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7725, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7725, tc_fun(_u7725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7725)), _u7727)), hAPP(hAPP(c_COMBC(_u7725, tc_fun(_u7725, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7725)), _u7729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7725, tc_HOL_Obool)), _u7727), _u7729)) )).
% 13.06/13.32 cnf(matrix-4380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7726, tc_HOL_Obool)), _u7728), _u7730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7726, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7726, tc_fun(_u7726, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7726)), _u7728)), hAPP(hAPP(c_COMBC(_u7726, tc_fun(_u7726, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7726)), _u7730))) )).
% 13.06/13.32 cnf(matrix-4381, plain, ( ( _u7736 = _u7738) | ~hBOOL(hAPP(hAPP(c_member(_u7734), _u7736), hAPP(hAPP(c_Set_Oinsert(_u7734), _u7738), c_Orderings_Obot__class_Obot(tc_fun(_u7734, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4382, plain, ( ( _u7737 != _u7739) | hBOOL(hAPP(hAPP(c_member(_u7735), _u7737), hAPP(hAPP(c_Set_Oinsert(_u7735), _u7739), c_Orderings_Obot__class_Obot(tc_fun(_u7735, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4383, plain, ( ( _u7741 = _u7742) | ~hBOOL(hAPP(hAPP(c_member(_u7740), _u7741), hAPP(hAPP(c_Set_Oinsert(_u7740), _u7742), c_Orderings_Obot__class_Obot(tc_fun(_u7740, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4384, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7747, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7747), _u7749), _u7751)), _u7753)) | hBOOL(hAPP(hAPP(c_member(_u7747), _u7749), _u7753)) )).
% 13.06/13.32 cnf(matrix-4385, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7747, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7747), _u7749), _u7751)), _u7753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7747, tc_HOL_Obool)), _u7751), _u7753)) )).
% 13.06/13.32 cnf(matrix-4386, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7748), _u7750), _u7754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7748, tc_HOL_Obool)), _u7752), _u7754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7748, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7748), _u7750), _u7752)), _u7754)) )).
% 13.06/13.32 cnf(matrix-4387, plain, ( hBOOL(hAPP(hAPP(c_member(_u7755), _u7756), _u7757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), hAPP(hAPP(c_Set_Oinsert(_u7755), _u7756), _u7758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), _u7758)) )).
% 13.06/13.32 cnf(matrix-4388, plain, ( hBOOL(hAPP(hAPP(c_member(_u7755), _u7756), _u7757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), _u7758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7755, tc_HOL_Obool)), _u7757), hAPP(hAPP(c_Set_Oinsert(_u7755), _u7756), _u7758))) )).
% 13.06/13.32 cnf(matrix-4389, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7763), _u7765), _u7767)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7763, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7763), _u7765), _u7769)), _u7767) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7763, tc_HOL_Obool)), _u7769), _u7767)) )).
% 13.06/13.32 cnf(matrix-4390, plain, ( hBOOL(hAPP(hAPP(c_member(_u7764), _u7766), _u7768)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7764, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7764), _u7766), _u7770)), _u7768) = hAPP(hAPP(c_Set_Oinsert(_u7764), _u7766), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7764, tc_HOL_Obool)), _u7770), _u7768))) )).
% 13.06/13.32 cnf(matrix-4391, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7771), _u7772), _u7773)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7771, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7771), _u7772), _u7774)), _u7773) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7771, tc_HOL_Obool)), _u7774), _u7773)) )).
% 13.06/13.32 cnf(matrix-4392, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7778), _u7780), c_Option_Oset(_u7778, _u7782))) | ( _u7782 = hAPP(c_Option_Ooption_OSome(_u7778), _u7780)) )).
% 13.06/13.32 cnf(matrix-4393, plain, ( ( _u7783 != hAPP(c_Option_Ooption_OSome(_u7779), _u7781)) | hBOOL(hAPP(hAPP(c_member(_u7779), _u7781), c_Option_Oset(_u7779, _u7783))) )).
% 13.06/13.32 cnf(matrix-4394, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7788, tc_fun(_u7790, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7788, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), _u7788), c_COMBC(_u7790, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_prod(_u7788, _u7790)), tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), _u7788), hAPP(c_COMBB(tc_prod(_u7788, _u7790), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool), _u7790), c_member(tc_prod(_u7788, _u7790)))), c_Product__Type_OPair(_u7788, _u7790)))), _u7792)), hAPP(hAPP(c_COMBC(_u7788, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_fun(_u7790, tc_HOL_Obool)), _u7788), c_COMBC(_u7790, tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7790, tc_prod(_u7788, _u7790)), tc_fun(_u7790, tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool)), _u7788), hAPP(c_COMBB(tc_prod(_u7788, _u7790), tc_fun(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool), tc_HOL_Obool), _u7790), c_member(tc_prod(_u7788, _u7790)))), c_Product__Type_OPair(_u7788, _u7790)))), _u7794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7788, _u7790), tc_HOL_Obool)), _u7792), _u7794)) )).
% 13.06/13.32 cnf(matrix-4395, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool)), _u7793), _u7795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7789, tc_fun(_u7791, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7789, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), _u7789), c_COMBC(_u7791, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_prod(_u7789, _u7791)), tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), _u7789), hAPP(c_COMBB(tc_prod(_u7789, _u7791), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool), _u7791), c_member(tc_prod(_u7789, _u7791)))), c_Product__Type_OPair(_u7789, _u7791)))), _u7793)), hAPP(hAPP(c_COMBC(_u7789, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_fun(_u7791, tc_HOL_Obool)), _u7789), c_COMBC(_u7791, tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7791, tc_prod(_u7789, _u7791)), tc_fun(_u7791, tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool)), _u7789), hAPP(c_COMBB(tc_prod(_u7789, _u7791), tc_fun(tc_fun(tc_prod(_u7789, _u7791), tc_HOL_Obool), tc_HOL_Obool), _u7791), c_member(tc_prod(_u7789, _u7791)))), c_Product__Type_OPair(_u7789, _u7791)))), _u7795))) )).
% 13.06/13.32 cnf(matrix-4396, plain, ( hBOOL(hAPP(hAPP(c_member(_u7796), _u7797), _u7798)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7796, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7796), _u7797), _u7798)), hAPP(hAPP(c_Set_Oinsert(_u7796), _u7797), c_Orderings_Obot__class_Obot(tc_fun(_u7796, tc_HOL_Obool)))) = _u7798) )).
% 13.06/13.32 cnf(matrix-4397, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7799), _u7800), _u7801)) | ( hAPP(hAPP(c_Set_Oinsert(_u7799), _u7800), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7799, tc_HOL_Obool)), _u7801), hAPP(hAPP(c_Set_Oinsert(_u7799), _u7800), c_Orderings_Obot__class_Obot(tc_fun(_u7799, tc_HOL_Obool))))) = _u7801) )).
% 13.06/13.32 cnf(matrix-4398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7802, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7802, tc_HOL_Obool)), _u7803), hAPP(hAPP(c_Set_Oinsert(_u7802), _u7804), c_Orderings_Obot__class_Obot(tc_fun(_u7802, tc_HOL_Obool))))), _u7805)) | ~hBOOL(hAPP(hAPP(c_member(_u7802), _u7804), _u7803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7802, tc_HOL_Obool)), _u7803), hAPP(hAPP(c_Set_Oinsert(_u7802), _u7804), _u7805))) )).
% 13.06/13.32 cnf(matrix-4399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), _u7812), hAPP(hAPP(c_Set_Oinsert(_u7810), _u7814), _u7816))) | ~hBOOL(hAPP(hAPP(c_member(_u7810), _u7814), _u7812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7810, tc_HOL_Obool)), _u7812), hAPP(hAPP(c_Set_Oinsert(_u7810), _u7814), c_Orderings_Obot__class_Obot(tc_fun(_u7810, tc_HOL_Obool))))), _u7816)) )).
% 13.06/13.32 cnf(matrix-4400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), _u7812), hAPP(hAPP(c_Set_Oinsert(_u7810), _u7814), _u7816))) | hBOOL(hAPP(hAPP(c_member(_u7810), _u7814), _u7812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7810, tc_HOL_Obool)), _u7812), _u7816)) )).
% 13.06/13.32 cnf(matrix-4401, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), _u7817))) | hBOOL(hAPP(hAPP(c_member(_u7811), _u7815), _u7813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), _u7817)) )).
% 13.06/13.32 cnf(matrix-4402, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), _u7817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), c_Orderings_Obot__class_Obot(tc_fun(_u7811, tc_HOL_Obool))))), _u7817)) | ~hBOOL(hAPP(hAPP(c_member(_u7811), _u7815), _u7813)) )).
% 13.06/13.32 cnf(matrix-4403, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), _u7817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7811, tc_HOL_Obool)), _u7813), hAPP(hAPP(c_Set_Oinsert(_u7811), _u7815), c_Orderings_Obot__class_Obot(tc_fun(_u7811, tc_HOL_Obool))))), _u7817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7811, tc_HOL_Obool)), _u7813), _u7817)) )).
% 13.06/13.32 cnf(matrix-4404, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7823, _u7825, _u7827), _u7829), _u7831)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7823, _u7825)), hAPP(hAPP(c_Product__Type_OPair(_u7823, _u7825), _u7829), _u7831)), _u7827)) )).
% 13.06/13.32 cnf(matrix-4405, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7824, _u7826)), hAPP(hAPP(c_Product__Type_OPair(_u7824, _u7826), _u7830), _u7832)), _u7828)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7824, _u7826, _u7828), _u7830), _u7832)) )).
% 13.06/13.32 cnf(matrix-4406, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7833), _u7834), _u7835)) | ~c_Nitpick_Ofold__graph_H(_u7833, _u7836, _u7837, _u7838, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7833, tc_HOL_Obool)), _u7835), hAPP(hAPP(c_Set_Oinsert(_u7833), _u7834), c_Orderings_Obot__class_Obot(tc_fun(_u7833, tc_HOL_Obool)))), _u7839) | c_Nitpick_Ofold__graph_H(_u7833, _u7836, _u7837, _u7838, _u7835, hAPP(hAPP(_u7837, _u7834), _u7839)) )).
% 13.06/13.32 cnf(matrix-4407, plain, ( ~c_Nitpick_Orefl_H(_u7844, _u7846) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7844, _u7844)), hAPP(hAPP(c_Product__Type_OPair(_u7844, _u7844), _u7840), _u7840)), _u7846)) )).
% 13.06/13.32 cnf(matrix-4408, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7845, _u7845)), hAPP(hAPP(c_Product__Type_OPair(_u7845, _u7845), skolem114(_u7847, _u7845)), skolem114(_u7847, _u7845))), _u7847)) | c_Nitpick_Orefl_H(_u7845, _u7847) )).
% 13.06/13.32 cnf(matrix-4409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7851, tc_HOL_Obool)), _u7853), hAPP(hAPP(c_Set_Oinsert(_u7851), _u7855), c_Orderings_Obot__class_Obot(tc_fun(_u7851, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u7851, _u7855, _u7853) = _u7855) )).
% 13.06/13.32 cnf(matrix-4410, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7852, tc_HOL_Obool)), _u7854), hAPP(hAPP(c_Set_Oinsert(_u7852), _u7856), c_Orderings_Obot__class_Obot(tc_fun(_u7852, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u7852, _u7856, _u7854) = c_HOL_OThe(_u7852, hAPP(hAPP(c_COMBC(_u7852, tc_fun(_u7852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7852)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7852, tc_HOL_Obool)), _u7854), hAPP(hAPP(c_Set_Oinsert(_u7852), _u7856), c_Orderings_Obot__class_Obot(tc_fun(_u7852, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7857, tc_fun(_u7858, tc_HOL_Obool))), _u7859), _u7860)) )).
% 13.06/13.32 cnf(matrix-4412, plain, ( ( _u7861 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7862, _u7862), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7862, _u7862), tc_HOL_Obool)), _u7861), _u7863)) )).
% 13.06/13.32 cnf(matrix-4413, plain, ( c_Nitpick_Ofold__graph_H(_u7864, _u7865, _u7866, _u7867, c_Orderings_Obot__class_Obot(tc_fun(_u7864, tc_HOL_Obool)), _u7867) )).
% 13.06/13.32 cnf(matrix-4414, plain, ( c_Nitpick_Ofold__graph_H(_u7868, _u7869, _u7870, _u7871, c_Orderings_Obot__class_Obot(tc_fun(_u7868, tc_HOL_Obool)), _u7871) )).
% 13.06/13.32 cnf(matrix-4415, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7882, _u7878)), hAPP(_u7882, _u7880))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7876, _u7876)), hAPP(hAPP(c_Product__Type_OPair(_u7876, _u7876), _u7878), _u7880)), hAPP(c_Wellfounded_Omeasure(_u7876), _u7882))) )).
% 13.06/13.32 cnf(matrix-4416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7883, _u7879)), hAPP(_u7883, _u7881))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7877, _u7877)), hAPP(hAPP(c_Product__Type_OPair(_u7877, _u7877), _u7879), _u7881)), hAPP(c_Wellfounded_Omeasure(_u7877), _u7883))) )).
% 13.06/13.32 cnf(matrix-4417, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7884, _u7885)), hAPP(_u7884, _u7886))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7887, _u7887)), hAPP(hAPP(c_Product__Type_OPair(_u7887, _u7887), _u7885), _u7886)), _u7888)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7887, _u7887)), hAPP(hAPP(c_Product__Type_OPair(_u7887, _u7887), _u7885), _u7886)), c_Wellfounded_Omlex__prod(_u7887, _u7884, _u7888))) )).
% 13.06/13.32 cnf(matrix-4418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u7889, _u7890)), hAPP(_u7889, _u7891))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7892, _u7892)), hAPP(hAPP(c_Product__Type_OPair(_u7892, _u7892), _u7890), _u7891)), c_Wellfounded_Omlex__prod(_u7892, _u7889, _u7893))) )).
% 13.06/13.32 cnf(matrix-4419, plain, ( ~class_Int_Onumber__ring(_u7894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7895)) | hBOOL(hAPP(hAPP(c_member(_u7894), hAPP(c_Int_Onumber__class_Onumber__of(_u7894), _u7895)), c_Nat_Osemiring__1__class_ONats(_u7894))) )).
% 13.06/13.32 cnf(matrix-4420, plain, ( ~class_Rings_Osemiring__1(_u7896) | hBOOL(hAPP(hAPP(c_member(_u7896), c_Groups_Ozero__class_Ozero(_u7896)), c_Nat_Osemiring__1__class_ONats(_u7896))) )).
% 13.06/13.32 cnf(matrix-4421, plain, ( ~class_Rings_Osemiring__1(_u7897) | ~hBOOL(hAPP(hAPP(c_member(_u7897), _u7898), c_Nat_Osemiring__1__class_ONats(_u7897))) | ~hBOOL(hAPP(hAPP(c_member(_u7897), _u7899), c_Nat_Osemiring__1__class_ONats(_u7897))) | hBOOL(hAPP(hAPP(c_member(_u7897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7897), _u7898), _u7899)), c_Nat_Osemiring__1__class_ONats(_u7897))) )).
% 13.06/13.32 cnf(matrix-4422, plain, ( ~class_Rings_Osemiring__1(_u7900) | ~hBOOL(hAPP(hAPP(c_member(_u7900), _u7901), c_Nat_Osemiring__1__class_ONats(_u7900))) | ~hBOOL(hAPP(hAPP(c_member(_u7900), _u7902), c_Nat_Osemiring__1__class_ONats(_u7900))) | hBOOL(hAPP(hAPP(c_member(_u7900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7900), _u7901), _u7902)), c_Nat_Osemiring__1__class_ONats(_u7900))) )).
% 13.06/13.32 cnf(matrix-4423, plain, ( ~class_Rings_Osemiring__1(_u7903) | hBOOL(hAPP(hAPP(c_member(_u7903), c_Groups_Oone__class_Oone(_u7903)), c_Nat_Osemiring__1__class_ONats(_u7903))) )).
% 13.06/13.32 cnf(matrix-4424, plain, ( ~class_Rings_Osemiring__1(_u7904) | hBOOL(hAPP(hAPP(c_member(_u7904), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7904), _u7905)), c_Nat_Osemiring__1__class_ONats(_u7904))) )).
% 13.06/13.32 cnf(matrix-4425, plain, ( ~class_Rings_Olinordered__idom(_u7906) | ~hBOOL(hAPP(hAPP(c_member(_u7906), _u7907), c_Int_Oring__1__class_OInts(_u7906))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), c_Groups_Oone__class_Oone(_u7906)), _u7907)), _u7907)), c_Groups_Ozero__class_Ozero(_u7906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), _u7907), c_Groups_Ozero__class_Ozero(_u7906))) )).
% 13.06/13.32 cnf(matrix-4426, plain, ( ~class_Rings_Olinordered__idom(_u7906) | ~hBOOL(hAPP(hAPP(c_member(_u7906), _u7907), c_Int_Oring__1__class_OInts(_u7906))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), _u7907), c_Groups_Ozero__class_Ozero(_u7906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7906), c_Groups_Oone__class_Oone(_u7906)), _u7907)), _u7907)), c_Groups_Ozero__class_Ozero(_u7906))) )).
% 13.06/13.32 cnf(matrix-4427, plain, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( _u7927 = c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), _u7927)) )).
% 13.06/13.32 cnf(matrix-4428, plain, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( _u7927 = c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool))) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = hAPP(hAPP(_u7923, skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919))) )).
% 13.06/13.32 cnf(matrix-4429, plain, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( _u7927 = c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7919, tc_HOL_Obool)), _u7927), hAPP(hAPP(c_Set_Oinsert(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool)))), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)) )).
% 13.06/13.32 cnf(matrix-4430, plain, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = _u7925) | hBOOL(hAPP(hAPP(c_member(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), _u7927)) )).
% 13.06/13.32 cnf(matrix-4431, plain, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = _u7925) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = hAPP(hAPP(_u7923, skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919))) )).
% 13.06/13.32 cnf(matrix-4432, plain, ( ~c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, _u7927, hAPP(hAPP(_u7923, _u7929), _u7931)) | ( hAPP(hAPP(_u7923, _u7929), _u7931) = _u7925) | c_Nitpick_Ofold__graph_H(_u7919, _u7921, _u7923, _u7925, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7919, tc_HOL_Obool)), _u7927), hAPP(hAPP(c_Set_Oinsert(_u7919), skolem115(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)), c_Orderings_Obot__class_Obot(tc_fun(_u7919, tc_HOL_Obool)))), skolem116(_u7931, _u7929, _u7927, _u7925, _u7923, _u7921, _u7919)) )).
% 13.06/13.32 cnf(matrix-4433, plain, ( c_Nitpick_Ofold__graph_H(_u7920, _u7922, _u7924, _u7926, _u7928, hAPP(hAPP(_u7924, _u7930), _u7932)) | ( _u7928 != c_Orderings_Obot__class_Obot(tc_fun(_u7920, tc_HOL_Obool))) | ( hAPP(hAPP(_u7924, _u7930), _u7932) != _u7926) )).
% 13.06/13.32 cnf(matrix-4434, plain, ( c_Nitpick_Ofold__graph_H(_u7920, _u7922, _u7924, _u7926, _u7928, hAPP(hAPP(_u7924, _u7930), _u7932)) | ~hBOOL(hAPP(hAPP(c_member(_u7920), _u7911), _u7928)) | ( hAPP(hAPP(_u7924, _u7930), _u7932) != hAPP(hAPP(_u7924, _u7911), _u7910)) | ~c_Nitpick_Ofold__graph_H(_u7920, _u7922, _u7924, _u7926, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7920, tc_HOL_Obool)), _u7928), hAPP(hAPP(c_Set_Oinsert(_u7920), _u7911), c_Orderings_Obot__class_Obot(tc_fun(_u7920, tc_HOL_Obool)))), _u7910) )).
% 13.06/13.32 cnf(matrix-4435, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7945), _u7947)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7949), _u7951))), c_Wellfounded_Olex__prod(_u7941, _u7943, _u7953, _u7955))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7941, _u7941)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7941), _u7945), _u7949)), _u7953)) | ( _u7945 = _u7949) )).
% 13.06/13.32 cnf(matrix-4436, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7941, _u7943), tc_prod(_u7941, _u7943)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7945), _u7947)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7943), _u7949), _u7951))), c_Wellfounded_Olex__prod(_u7941, _u7943, _u7953, _u7955))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7941, _u7941)), hAPP(hAPP(c_Product__Type_OPair(_u7941, _u7941), _u7945), _u7949)), _u7953)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7943, _u7943)), hAPP(hAPP(c_Product__Type_OPair(_u7943, _u7943), _u7947), _u7951)), _u7955)) )).
% 13.06/13.32 cnf(matrix-4437, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7946), _u7948)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7950), _u7952))), c_Wellfounded_Olex__prod(_u7942, _u7944, _u7954, _u7956))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7942, _u7942)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7942), _u7946), _u7950)), _u7954)) )).
% 13.06/13.32 cnf(matrix-4438, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7942, _u7944), tc_prod(_u7942, _u7944)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7946), _u7948)), hAPP(hAPP(c_Product__Type_OPair(_u7942, _u7944), _u7950), _u7952))), c_Wellfounded_Olex__prod(_u7942, _u7944, _u7954, _u7956))) | ( _u7946 != _u7950) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7944, _u7944)), hAPP(hAPP(c_Product__Type_OPair(_u7944, _u7944), _u7948), _u7952)), _u7956)) )).
% 13.06/13.32 cnf(matrix-4439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7957), _u7958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7959), _u7960)) | 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), _u7957), _u7959)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7958), _u7960))), c_FunDef_Opair__less)) )).
% 13.06/13.32 cnf(matrix-4440, plain, ( ~class_Rings_Oring__1(_u7961) | hBOOL(hAPP(hAPP(c_member(_u7961), c_Groups_Ozero__class_Ozero(_u7961)), c_Int_Oring__1__class_OInts(_u7961))) )).
% 13.06/13.32 cnf(matrix-4441, plain, ( ~class_Rings_Oring__1(_u7962) | ~hBOOL(hAPP(hAPP(c_member(_u7962), _u7963), c_Int_Oring__1__class_OInts(_u7962))) | ~hBOOL(hAPP(hAPP(c_member(_u7962), _u7964), c_Int_Oring__1__class_OInts(_u7962))) | hBOOL(hAPP(hAPP(c_member(_u7962), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7962), _u7963), _u7964)), c_Int_Oring__1__class_OInts(_u7962))) )).
% 13.06/13.32 cnf(matrix-4442, plain, ( ~class_Rings_Oring__1(_u7965) | ~hBOOL(hAPP(hAPP(c_member(_u7965), _u7966), c_Int_Oring__1__class_OInts(_u7965))) | ~hBOOL(hAPP(hAPP(c_member(_u7965), _u7967), c_Int_Oring__1__class_OInts(_u7965))) | hBOOL(hAPP(hAPP(c_member(_u7965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7965), _u7966), _u7967)), c_Int_Oring__1__class_OInts(_u7965))) )).
% 13.06/13.32 cnf(matrix-4443, plain, ( ~class_Rings_Oring__1(_u7968) | ~hBOOL(hAPP(hAPP(c_member(_u7968), _u7969), c_Int_Oring__1__class_OInts(_u7968))) | ~hBOOL(hAPP(hAPP(c_member(_u7968), _u7970), c_Int_Oring__1__class_OInts(_u7968))) | hBOOL(hAPP(hAPP(c_member(_u7968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7968), _u7969), _u7970)), c_Int_Oring__1__class_OInts(_u7968))) )).
% 13.06/13.32 cnf(matrix-4444, plain, ( ~class_Int_Onumber__ring(_u7971) | hBOOL(hAPP(hAPP(c_member(_u7971), hAPP(c_Int_Onumber__class_Onumber__of(_u7971), _u7972)), c_Int_Oring__1__class_OInts(_u7971))) )).
% 13.06/13.32 cnf(matrix-4445, plain, ( ~class_Rings_Oring__1(_u7973) | hBOOL(hAPP(hAPP(c_member(_u7973), c_Groups_Oone__class_Oone(_u7973)), c_Int_Oring__1__class_OInts(_u7973))) )).
% 13.06/13.32 cnf(matrix-4446, plain, ( ~class_Rings_Oring__1(_u7974) | ~hBOOL(hAPP(hAPP(c_member(_u7974), _u7975), c_Int_Oring__1__class_OInts(_u7974))) | hBOOL(hAPP(hAPP(c_member(_u7974), hAPP(c_Groups_Ouminus__class_Ouminus(_u7974), _u7975)), c_Int_Oring__1__class_OInts(_u7974))) )).
% 13.06/13.32 cnf(matrix-4447, plain, ( ~class_Rings_Oring__1(_u7976) | ~hBOOL(hAPP(hAPP(c_member(_u7976), _u7977), c_Int_Oring__1__class_OInts(_u7976))) | hBOOL(hAPP(hAPP(c_member(_u7976), hAPP(hAPP(c_Power_Opower__class_Opower(_u7976), _u7977), _u7978)), c_Int_Oring__1__class_OInts(_u7976))) )).
% 13.06/13.32 cnf(matrix-4448, plain, ( ~class_Rings_Oring__1(_u7979) | hBOOL(hAPP(hAPP(c_member(_u7979), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7979), _u7980)), c_Int_Oring__1__class_OInts(_u7979))) )).
% 13.06/13.32 cnf(matrix-4449, plain, ( ~class_Rings_Oring__1(_u7981) | hBOOL(hAPP(hAPP(c_member(_u7981), hAPP(c_Int_Oring__1__class_Oof__int(_u7981), _u7982)), c_Int_Oring__1__class_OInts(_u7981))) )).
% 13.06/13.32 cnf(matrix-4450, plain, ( ~class_Int_Oring__char__0(_u7983) | ~hBOOL(hAPP(hAPP(c_member(_u7983), _u7984), c_Int_Oring__1__class_OInts(_u7983))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7983), _u7984), _u7984) != c_Groups_Ozero__class_Ozero(_u7983)) | ( _u7984 = c_Groups_Ozero__class_Ozero(_u7983)) )).
% 13.06/13.32 cnf(matrix-4451, plain, ( ~class_Int_Oring__char__0(_u7983) | ~hBOOL(hAPP(hAPP(c_member(_u7983), _u7984), c_Int_Oring__1__class_OInts(_u7983))) | ( _u7984 != c_Groups_Ozero__class_Ozero(_u7983)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7983), _u7984), _u7984) = c_Groups_Ozero__class_Ozero(_u7983)) )).
% 13.06/13.32 cnf(matrix-4452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7985), _u7986)) | 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), _u7985), _u7987)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7986), _u7988))), c_FunDef_Opair__less)) )).
% 13.06/13.32 cnf(matrix-4453, plain, ( ~class_Int_Oring__char__0(_u7989) | ~hBOOL(hAPP(hAPP(c_member(_u7989), _u7990), c_Int_Oring__1__class_OInts(_u7989))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7989), c_Groups_Oone__class_Oone(_u7989)), _u7990)), _u7990) != c_Groups_Ozero__class_Ozero(_u7989)) )).
% 13.06/13.32 cnf(matrix-4454, plain, ( ~hBOOL(hAPP(_u7991, _u7992)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7993, _u7993)), hAPP(hAPP(c_Product__Type_OPair(_u7993, _u7993), _u7994), _u7995)), hAPP(_u7996, _u7992))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7997, _u7993), tc_prod(_u7997, _u7993))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7997, _u7993), tc_prod(_u7997, _u7993)), hAPP(hAPP(c_Product__Type_OPair(_u7997, _u7993), _u7992), _u7994)), hAPP(hAPP(c_Product__Type_OPair(_u7997, _u7993), _u7992), _u7995))), c_Recdef_Osame__fst(_u7997, _u7993, _u7991, _u7996))) )).
% 13.06/13.32 cnf(matrix-4455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7998), _u7999)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8000), _u8001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7998), _u8000)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7999), _u8001))), c_FunDef_Opair__leq)) )).
% 13.06/13.32 cnf(matrix-4456, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8002), _u8003)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8004), _u8002)), 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)), _u8005), _u8003)), 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)), _u8004), _u8005)), _u8003)), c_FunDef_Omax__strict)) )).
% 13.06/13.32 cnf(matrix-4457, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8006), _u8007)) | ~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)), _u8006), _u8008)), 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)), _u8007), _u8009)), 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)), _u8007), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8008), _u8009))), c_FunDef_Omin__strict)) )).
% 13.06/13.32 cnf(matrix-4458, plain, ( ( _u8010 = 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)), _u8010), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 13.06/13.32 cnf(matrix-4459, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8011), _u8012)) | 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), _u8011), _u8013)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8012), _u8014))), c_FunDef_Opair__leq)) )).
% 13.06/13.32 cnf(matrix-4460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8015), _u8016)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8015), _u8017)), 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)), _u8016), _u8018)), 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)), _u8016), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8017), _u8018))), c_FunDef_Omin__weak)) )).
% 13.06/13.32 cnf(matrix-4461, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8019), _u8020)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8021), _u8019)), 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)), _u8022), _u8020)), 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)), _u8021), _u8022)), _u8020)), c_FunDef_Omax__weak)) )).
% 13.06/13.32 cnf(matrix-4462, 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)), _u8023), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 13.06/13.32 cnf(matrix-4463, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 13.06/13.32 cnf(matrix-4464, 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))))) )).
% 13.06/13.32 cnf(matrix-4465, 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)) )).
% 13.06/13.32 cnf(matrix-4466, 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)) )).
% 13.06/13.32 cnf(matrix-4467, 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), _u8026), _u8028)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8026), _u8028)) )).
% 13.06/13.32 cnf(matrix-4468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8027), _u8029)) | 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), _u8027), _u8029)), c_Wellfounded_Oless__than)) )).
% 13.06/13.32 cnf(matrix-4469, plain, ( hBOOL(hAPP(_u8031, _u8033)) | hBOOL(hAPP(_u8032, _u8033)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8030, tc_HOL_Obool)), _u8031), _u8032), _u8033)) )).
% 13.06/13.32 cnf(matrix-4470, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8037, tc_HOL_Obool)), _u8036), _u8034), _u8035)) | ~hBOOL(hAPP(_u8034, _u8035)) )).
% 13.06/13.32 cnf(matrix-4471, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8037, tc_HOL_Obool)), _u8036), _u8034), _u8035)) | ~hBOOL(hAPP(_u8036, _u8035)) )).
% 13.06/13.32 cnf(matrix-4472, plain, ( hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8038, tc_HOL_Obool)), _u8041), _u8040))) | ~hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), _u8040)) )).
% 13.06/13.32 cnf(matrix-4473, plain, ( hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8038, tc_HOL_Obool)), _u8041), _u8040))) | ~hBOOL(hAPP(hAPP(c_member(_u8038), _u8039), _u8041)) )).
% 13.06/13.32 cnf(matrix-4474, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8042), _u8043), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8042, tc_HOL_Obool)), _u8044), _u8045))) | hBOOL(hAPP(hAPP(c_member(_u8042), _u8043), _u8044)) | hBOOL(hAPP(hAPP(c_member(_u8042), _u8043), _u8045)) )).
% 13.06/13.32 cnf(matrix-4475, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8049, tc_HOL_Obool)), _u8051), _u8053) != c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) | ( _u8051 = c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4476, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8049, tc_HOL_Obool)), _u8051), _u8053) != c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) | ( _u8053 = c_Orderings_Obot__class_Obot(tc_fun(_u8049, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4477, plain, ( ( _u8052 != c_Orderings_Obot__class_Obot(tc_fun(_u8050, tc_HOL_Obool))) | ( _u8054 != c_Orderings_Obot__class_Obot(tc_fun(_u8050, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8050, tc_HOL_Obool)), _u8052), _u8054) = c_Orderings_Obot__class_Obot(tc_fun(_u8050, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4478, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8055, tc_HOL_Obool)), _u8056), c_Orderings_Obot__class_Obot(tc_fun(_u8055, tc_HOL_Obool))) = _u8056) )).
% 13.06/13.32 cnf(matrix-4479, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8057, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8057, tc_HOL_Obool))), _u8058) = _u8058) )).
% 13.06/13.32 cnf(matrix-4480, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8059), _u8060), _u8061) != c_Orderings_Obot__class_Obot(_u8059)) | ( _u8060 = c_Orderings_Obot__class_Obot(_u8059)) )).
% 13.06/13.32 cnf(matrix-4481, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8059), _u8060), _u8061) != c_Orderings_Obot__class_Obot(_u8059)) | ( _u8061 = c_Orderings_Obot__class_Obot(_u8059)) )).
% 13.06/13.32 cnf(matrix-4482, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8059) | ( _u8060 != c_Orderings_Obot__class_Obot(_u8059)) | ( _u8061 != c_Orderings_Obot__class_Obot(_u8059)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8059), _u8060), _u8061) = c_Orderings_Obot__class_Obot(_u8059)) )).
% 13.06/13.32 cnf(matrix-4483, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8062) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8062), _u8063), c_Orderings_Obot__class_Obot(_u8062)) = _u8063) )).
% 13.06/13.32 cnf(matrix-4484, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8064) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8064), c_Orderings_Obot__class_Obot(_u8064)), _u8065) = _u8065) )).
% 13.06/13.32 cnf(matrix-4485, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8066, tc_HOL_Obool)), _u8067), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8066, tc_HOL_Obool)), _u8067), _u8068))) )).
% 13.06/13.32 cnf(matrix-4486, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8069, tc_HOL_Obool)), _u8070), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8069, tc_HOL_Obool)), _u8071), _u8070))) )).
% 13.06/13.32 cnf(matrix-4487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8075, tc_HOL_Obool)), _u8077), _u8079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8075, tc_HOL_Obool)), _u8077), _u8079) = _u8079) )).
% 13.06/13.32 cnf(matrix-4488, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8076, tc_HOL_Obool)), _u8078), _u8080) != _u8080) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8076, tc_HOL_Obool)), _u8078), _u8080)) )).
% 13.06/13.32 cnf(matrix-4489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8081, tc_HOL_Obool)), _u8082), _u8083)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8081, tc_HOL_Obool)), _u8082), _u8083) = _u8083) )).
% 13.06/13.32 cnf(matrix-4490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8084, tc_HOL_Obool)), _u8085), _u8086)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8084, tc_HOL_Obool)), _u8086), _u8085) = _u8086) )).
% 13.06/13.32 cnf(matrix-4491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8087, tc_HOL_Obool)), _u8088), _u8089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8087, tc_HOL_Obool)), _u8090), _u8089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8087, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8087, tc_HOL_Obool)), _u8088), _u8090)), _u8089)) )).
% 13.06/13.32 cnf(matrix-4492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8091, tc_HOL_Obool)), _u8092), _u8093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8091, tc_HOL_Obool)), _u8094), _u8095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8091, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8091, tc_HOL_Obool)), _u8092), _u8094)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8091, tc_HOL_Obool)), _u8093), _u8095))) )).
% 13.06/13.32 cnf(matrix-4493, plain, ( ~class_Lattices_Olattice(_u8096) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8096), _u8097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8096), _u8097), _u8098))) )).
% 13.06/13.32 cnf(matrix-4494, plain, ( ~class_Lattices_Osemilattice__sup(_u8099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), _u8100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8099), _u8100), _u8101))) )).
% 13.06/13.32 cnf(matrix-4495, plain, ( ~class_Lattices_Olattice(_u8102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8102), _u8103), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8102), _u8104), _u8103))) )).
% 13.06/13.32 cnf(matrix-4496, plain, ( ~class_Lattices_Osemilattice__sup(_u8105) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8105), _u8106), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8105), _u8107), _u8106))) )).
% 13.06/13.32 cnf(matrix-4497, plain, ( ~class_Lattices_Osemilattice__sup(_u8108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8108), _u8109), _u8110)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8108), _u8109), _u8110) = _u8110) )).
% 13.06/13.32 cnf(matrix-4498, plain, ( ~class_Lattices_Osemilattice__sup(_u8108) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8108), _u8109), _u8110) != _u8110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8108), _u8109), _u8110)) )).
% 13.06/13.32 cnf(matrix-4499, plain, ( ~class_Lattices_Osemilattice__sup(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), _u8112), _u8113)), _u8114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8112), _u8114)) )).
% 13.06/13.32 cnf(matrix-4500, plain, ( ~class_Lattices_Osemilattice__sup(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), _u8112), _u8113)), _u8114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8113), _u8114)) )).
% 13.06/13.32 cnf(matrix-4501, plain, ( ~class_Lattices_Osemilattice__sup(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8112), _u8114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), _u8113), _u8114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), _u8112), _u8113)), _u8114)) )).
% 13.06/13.32 cnf(matrix-4502, plain, ( ~class_Lattices_Osemilattice__sup(_u8115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8115), _u8116), _u8117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8115), _u8116), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8115), _u8117), _u8118))) )).
% 13.06/13.32 cnf(matrix-4503, plain, ( ~class_Lattices_Osemilattice__sup(_u8119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8119), _u8120), _u8121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8119), _u8120), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8119), _u8122), _u8121))) )).
% 13.06/13.32 cnf(matrix-4504, plain, ( ~class_Lattices_Osemilattice__sup(_u8123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), _u8124), _u8125)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8123), _u8124), _u8125) = _u8125) )).
% 13.06/13.32 cnf(matrix-4505, plain, ( ~class_Lattices_Osemilattice__sup(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8126), _u8127), _u8128)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8126), _u8128), _u8127) = _u8128) )).
% 13.06/13.32 cnf(matrix-4506, plain, ( ~class_Lattices_Osemilattice__sup(_u8129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), _u8130), _u8131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), _u8132), _u8131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8129), _u8130), _u8132)), _u8131)) )).
% 13.06/13.32 cnf(matrix-4507, plain, ( ~class_Lattices_Osemilattice__sup(_u8133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8133), _u8134), _u8135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8133), _u8136), _u8135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8133), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8133), _u8134), _u8136)), _u8135)) )).
% 13.06/13.32 cnf(matrix-4508, plain, ( ~class_Lattices_Osemilattice__sup(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8137), _u8138), _u8139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8137), _u8140), _u8141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8137), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8137), _u8138), _u8140)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8137), _u8139), _u8141))) )).
% 13.06/13.32 cnf(matrix-4509, plain, ( ~class_Lattices_Osemilattice__sup(_u8142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8142), _u8143), _u8144)), _u8145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), _u8143), _u8145)) )).
% 13.06/13.32 cnf(matrix-4510, plain, ( ~class_Lattices_Osemilattice__sup(_u8142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8142), _u8143), _u8144)), _u8145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), _u8144), _u8145)) )).
% 13.06/13.32 cnf(matrix-4511, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8147), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8146, tc_HOL_Obool)), _u8148), _u8147)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), _u8147), _u8148)) )).
% 13.06/13.32 cnf(matrix-4512, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8149, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8149, tc_HOL_Obool)), _u8150), _u8151)), _u8151) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8149, tc_HOL_Obool)), _u8150), _u8151)) )).
% 13.06/13.32 cnf(matrix-4513, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8152, tc_HOL_Obool)), _u8153), _u8154)), _u8155) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8152, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8152, tc_HOL_Obool)), _u8153), _u8155)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8152, tc_HOL_Obool)), _u8154), _u8155))) )).
% 13.06/13.32 cnf(matrix-4514, plain, ( ~class_Lattices_Osemilattice__sup(_u8156) | ~class_Orderings_Olinorder(_u8156) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8156) = c_Orderings_Oord__class_Omax(_u8156)) )).
% 13.06/13.32 cnf(matrix-4515, plain, ( ~class_Lattices_Olattice(_u8157) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8157), _u8158), _u8158) = _u8158) )).
% 13.06/13.32 cnf(matrix-4516, plain, ( ~class_Lattices_Osemilattice__sup(_u8159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8159), _u8160), _u8161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8159), _u8160), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8159), _u8161), _u8162))) )).
% 13.06/13.32 cnf(matrix-4517, plain, ( ~class_Lattices_Osemilattice__sup(_u8163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8163), _u8164), _u8165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8163), _u8164), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8163), _u8166), _u8165))) )).
% 13.06/13.32 cnf(matrix-4518, plain, ( ~class_Lattices_Osemilattice__sup(_u8167) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8167), _u8168), _u8168) = _u8168) )).
% 13.06/13.32 cnf(matrix-4519, plain, ( ~class_Lattices_Osemilattice__sup(_u8169) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8169), _u8170), _u8170) = _u8170) )).
% 13.06/13.32 cnf(matrix-4520, plain, ( ~class_Lattices_Osemilattice__sup(_u8171) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8172), _u8173) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8171), _u8173), _u8172)) )).
% 13.06/13.32 cnf(matrix-4521, plain, ( ~class_Lattices_Olattice(_u8174) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8175), _u8176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8174), _u8176), _u8175)) )).
% 13.06/13.32 cnf(matrix-4522, plain, ( ~class_Lattices_Osemilattice__sup(_u8177) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8177), _u8178), _u8179) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8177), _u8179), _u8178)) )).
% 13.06/13.32 cnf(matrix-4523, plain, ( ~class_Lattices_Osemilattice__sup(_u8180) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8180), _u8181), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8180), _u8181), _u8182)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8180), _u8181), _u8182)) )).
% 13.06/13.32 cnf(matrix-4524, plain, ( ~class_Lattices_Olattice(_u8183) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8183), _u8184), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8183), _u8184), _u8185)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8183), _u8184), _u8185)) )).
% 13.06/13.32 cnf(matrix-4525, plain, ( ~class_Lattices_Osemilattice__sup(_u8186) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8186), _u8187), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8186), _u8187), _u8188)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8186), _u8187), _u8188)) )).
% 13.06/13.32 cnf(matrix-4526, plain, ( ~class_Lattices_Osemilattice__sup(_u8189) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8190), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8191), _u8192)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8191), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8189), _u8190), _u8192))) )).
% 13.06/13.32 cnf(matrix-4527, plain, ( ~class_Lattices_Olattice(_u8193) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8194), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8195), _u8196)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8195), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8193), _u8194), _u8196))) )).
% 13.06/13.32 cnf(matrix-4528, plain, ( ~class_Lattices_Osemilattice__sup(_u8197) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8199), _u8200)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8199), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8197), _u8198), _u8200))) )).
% 13.06/13.32 cnf(matrix-4529, plain, ( ~class_Lattices_Osemilattice__sup(_u8201) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), _u8202), _u8203)), _u8204) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), _u8202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8201), _u8203), _u8204))) )).
% 13.06/13.32 cnf(matrix-4530, plain, ( ~class_Lattices_Olattice(_u8205) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), _u8206), _u8207)), _u8208) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), _u8206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8205), _u8207), _u8208))) )).
% 13.06/13.32 cnf(matrix-4531, plain, ( ~class_Lattices_Osemilattice__sup(_u8209) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), _u8210), _u8211)), _u8212) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), _u8210), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8209), _u8211), _u8212))) )).
% 13.06/13.32 cnf(matrix-4532, plain, ( ~class_Lattices_Olattice(_u8213) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8214, _u8213)), _u8215), _u8216), _u8217) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8213), hAPP(_u8215, _u8217)), hAPP(_u8216, _u8217))) )).
% 13.06/13.32 cnf(matrix-4533, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8218, tc_HOL_Obool)), _u8219), _u8219) = _u8219) )).
% 13.06/13.32 cnf(matrix-4534, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8220, tc_HOL_Obool)), _u8221), _u8222) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8220, tc_HOL_Obool)), _u8222), _u8221)) )).
% 13.06/13.32 cnf(matrix-4535, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8223, tc_HOL_Obool)), _u8224), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8223, tc_HOL_Obool)), _u8224), _u8225)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8223, tc_HOL_Obool)), _u8224), _u8225)) )).
% 13.06/13.32 cnf(matrix-4536, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8227), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8228), _u8229)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8228), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8226, tc_HOL_Obool)), _u8227), _u8229))) )).
% 13.06/13.32 cnf(matrix-4537, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), _u8231), _u8232)), _u8233) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), _u8231), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8230, tc_HOL_Obool)), _u8232), _u8233))) )).
% 13.06/13.32 cnf(matrix-4538, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem117(_u8250, _u8248, _u8246, _u8244)), _u8246)) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem118(_u8250, _u8248, _u8246, _u8244)), _u8248)) )).
% 13.06/13.32 cnf(matrix-4539, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem117(_u8250, _u8248, _u8246, _u8244)), _u8246)) | hBOOL(hAPP(_u8250, skolem118(_u8250, _u8248, _u8246, _u8244))) )).
% 13.06/13.32 cnf(matrix-4540, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(_u8250, skolem117(_u8250, _u8248, _u8246, _u8244))) | hBOOL(hAPP(hAPP(c_member(_u8244), skolem118(_u8250, _u8248, _u8246, _u8244)), _u8248)) )).
% 13.06/13.32 cnf(matrix-4541, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8244), _u8234), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8244, tc_HOL_Obool)), _u8246), _u8248))) | ~hBOOL(hAPP(_u8250, _u8234)) | hBOOL(hAPP(_u8250, skolem117(_u8250, _u8248, _u8246, _u8244))) | hBOOL(hAPP(_u8250, skolem118(_u8250, _u8248, _u8246, _u8244))) )).
% 13.06/13.32 cnf(matrix-4542, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8237), _u8247)) | ~hBOOL(hAPP(_u8251, _u8237)) | hBOOL(hAPP(hAPP(c_member(_u8245), skolem119(_u8251, _u8249, _u8247, _u8245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8245, tc_HOL_Obool)), _u8247), _u8249))) )).
% 13.06/13.32 cnf(matrix-4543, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8237), _u8247)) | ~hBOOL(hAPP(_u8251, _u8237)) | hBOOL(hAPP(_u8251, skolem119(_u8251, _u8249, _u8247, _u8245))) )).
% 13.06/13.32 cnf(matrix-4544, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8238), _u8249)) | ~hBOOL(hAPP(_u8251, _u8238)) | hBOOL(hAPP(hAPP(c_member(_u8245), skolem119(_u8251, _u8249, _u8247, _u8245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8245, tc_HOL_Obool)), _u8247), _u8249))) )).
% 13.06/13.32 cnf(matrix-4545, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8245), _u8238), _u8249)) | ~hBOOL(hAPP(_u8251, _u8238)) | hBOOL(hAPP(_u8251, skolem119(_u8251, _u8249, _u8247, _u8245))) )).
% 13.06/13.32 cnf(matrix-4546, plain, ( hBOOL(hAPP(hAPP(c_member(_u8262), skolem120(_u8268, _u8266, _u8264, _u8262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8262, tc_HOL_Obool)), _u8264), _u8266))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8253), _u8264)) | hBOOL(hAPP(_u8268, _u8253)) )).
% 13.06/13.32 cnf(matrix-4547, plain, ( hBOOL(hAPP(hAPP(c_member(_u8262), skolem120(_u8268, _u8266, _u8264, _u8262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8262, tc_HOL_Obool)), _u8264), _u8266))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8254), _u8266)) | hBOOL(hAPP(_u8268, _u8254)) )).
% 13.06/13.32 cnf(matrix-4548, plain, ( ~hBOOL(hAPP(_u8268, skolem120(_u8268, _u8266, _u8264, _u8262))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8253), _u8264)) | hBOOL(hAPP(_u8268, _u8253)) )).
% 13.06/13.32 cnf(matrix-4549, plain, ( ~hBOOL(hAPP(_u8268, skolem120(_u8268, _u8266, _u8264, _u8262))) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8254), _u8266)) | hBOOL(hAPP(_u8268, _u8254)) )).
% 13.06/13.32 cnf(matrix-4550, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem121(_u8269, _u8267, _u8265, _u8263)), _u8265)) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem122(_u8269, _u8267, _u8265, _u8263)), _u8267)) )).
% 13.06/13.32 cnf(matrix-4551, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem121(_u8269, _u8267, _u8265, _u8263)), _u8265)) | ~hBOOL(hAPP(_u8269, skolem122(_u8269, _u8267, _u8265, _u8263))) )).
% 13.06/13.32 cnf(matrix-4552, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | ~hBOOL(hAPP(_u8269, skolem121(_u8269, _u8267, _u8265, _u8263))) | hBOOL(hAPP(hAPP(c_member(_u8263), skolem122(_u8269, _u8267, _u8265, _u8263)), _u8267)) )).
% 13.06/13.32 cnf(matrix-4553, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8263), _u8257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8263, tc_HOL_Obool)), _u8265), _u8267))) | hBOOL(hAPP(_u8269, _u8257)) | ~hBOOL(hAPP(_u8269, skolem121(_u8269, _u8267, _u8265, _u8263))) | ~hBOOL(hAPP(_u8269, skolem122(_u8269, _u8267, _u8265, _u8263))) )).
% 13.06/13.32 cnf(matrix-4554, plain, ( ~class_Lattices_Olattice(_u8270) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8271, _u8270)), _u8272), _u8273), _u8274) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8270), hAPP(_u8272, _u8274)), hAPP(_u8273, _u8274))) )).
% 13.06/13.32 cnf(matrix-4555, plain, ( ~hBOOL(hAPP(_u8275, _u8276)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8277, tc_HOL_Obool)), _u8275), _u8278), _u8276)) )).
% 13.06/13.32 cnf(matrix-4556, plain, ( ~hBOOL(hAPP(_u8279, _u8280)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8281, tc_HOL_Obool)), _u8282), _u8279), _u8280)) )).
% 13.06/13.32 cnf(matrix-4557, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8283, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8283), _u8284), _u8285)), _u8286) = hAPP(hAPP(c_Set_Oinsert(_u8283), _u8284), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8283, tc_HOL_Obool)), _u8285), _u8286))) )).
% 13.06/13.32 cnf(matrix-4558, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8287, tc_HOL_Obool)), _u8288), hAPP(hAPP(c_Set_Oinsert(_u8287), _u8289), _u8290)) = hAPP(hAPP(c_Set_Oinsert(_u8287), _u8289), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8287, tc_HOL_Obool)), _u8288), _u8290))) )).
% 13.06/13.32 cnf(matrix-4559, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8295), _u8297), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8295, tc_HOL_Obool)), _u8299), _u8301))) | hBOOL(hAPP(hAPP(c_member(_u8295), _u8297), _u8299)) | hBOOL(hAPP(hAPP(c_member(_u8295), _u8297), _u8301)) )).
% 13.06/13.32 cnf(matrix-4560, plain, ( hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8296, tc_HOL_Obool)), _u8300), _u8302))) | ~hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), _u8300)) )).
% 13.06/13.32 cnf(matrix-4561, plain, ( hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8296, tc_HOL_Obool)), _u8300), _u8302))) | ~hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), _u8302)) )).
% 13.06/13.32 cnf(matrix-4562, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8303), _u8304), _u8305)) | hBOOL(hAPP(hAPP(c_member(_u8303), _u8304), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8303, tc_HOL_Obool)), _u8305), _u8306))) )).
% 13.06/13.32 cnf(matrix-4563, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8307), _u8308), _u8309)) | hBOOL(hAPP(hAPP(c_member(_u8307), _u8308), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8307, tc_HOL_Obool)), _u8310), _u8309))) )).
% 13.06/13.32 cnf(matrix-4564, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8315, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8315, tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8315)), _u8317)), hAPP(hAPP(c_COMBC(_u8315, tc_fun(_u8315, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8315)), _u8319)), _u8321)) | hBOOL(hAPP(hAPP(c_member(_u8315), _u8321), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8315, tc_HOL_Obool)), _u8317), _u8319))) )).
% 13.06/13.32 cnf(matrix-4565, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8316), _u8322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8316, tc_HOL_Obool)), _u8318), _u8320))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8316, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8316, tc_fun(_u8316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8316)), _u8318)), hAPP(hAPP(c_COMBC(_u8316, tc_fun(_u8316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8316)), _u8320)), _u8322)) )).
% 13.06/13.32 cnf(matrix-4566, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8323), _u8324), _u8325) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8323, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8324), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool)))), _u8325)) )).
% 13.06/13.32 cnf(matrix-4567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8326, tc_HOL_Obool)), _u8327), _u8328)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8326, tc_HOL_Obool)), _u8327), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8326, tc_HOL_Obool)), _u8328), _u8327)) = _u8328) )).
% 13.06/13.32 cnf(matrix-4568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8333, tc_HOL_Obool)), _u8335), _u8337)), _u8339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8333, tc_HOL_Obool)), _u8335), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8333, tc_HOL_Obool)), _u8337), _u8339))) )).
% 13.06/13.32 cnf(matrix-4569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8334, tc_HOL_Obool)), _u8336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8334, tc_HOL_Obool)), _u8338), _u8340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8334, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8334, tc_HOL_Obool)), _u8336), _u8338)), _u8340)) )).
% 13.06/13.32 cnf(matrix-4570, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8341, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8341, tc_HOL_Obool)), _u8342), _u8343)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8341, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8341, tc_HOL_Obool)), _u8342)), _u8343)) )).
% 13.06/13.32 cnf(matrix-4571, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 13.06/13.32 cnf(matrix-4572, 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))))) )).
% 13.06/13.32 cnf(matrix-4573, plain, ( ( c_Wellfounded_Omlex__prod(_u8344, _u8345, _u8346) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u8344), _u8344), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u8344, c_Wellfounded_Oless__than, _u8346)), hAPP(hAPP(c_COMBS(_u8344, _u8344, tc_prod(tc_Nat_Onat, _u8344)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u8344, tc_prod(tc_Nat_Onat, _u8344)), _u8344), c_Product__Type_OPair(tc_Nat_Onat, _u8344)), _u8345)), c_COMBI(_u8344)))) )).
% 13.06/13.32 cnf(matrix-4574, 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), _u8351), _u8353)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8355), _u8357))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8351), _u8357) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8355), _u8353)) )).
% 13.06/13.32 cnf(matrix-4575, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8352), _u8358) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8356), _u8354)) | 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), _u8352), _u8354)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8356), _u8358))), c_Int_Ointrel)) )).
% 13.06/13.32 cnf(matrix-4576, plain, ( ~c_FunDef_Oreduction__pair(_u8359, _u8360) | c_FunDef_Oreduction__pair(_u8361, hAPP(hAPP(c_FunDef_Orp__inv__image(_u8359, _u8361), _u8360), _u8362)) )).
% 13.06/13.32 cnf(matrix-4577, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4578, plain, ( ( c_FunDef_Orp__inv__image(_u8363, _u8364) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool)), c_COMBS(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)), tc_fun(tc_fun(_u8364, _u8363), tc_fun(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), tc_fun(tc_prod(_u8363, _u8363), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool))), tc_fun(_u8364, _u8363)), c_Product__Type_OPair(tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool), tc_fun(tc_prod(_u8364, _u8364), tc_HOL_Obool)))), c_Relation_Oinv__image(_u8363, _u8364))))), c_Relation_Oinv__image(_u8363, _u8364)))) )).
% 13.06/13.32 cnf(matrix-4579, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8371, tc_fun(_u8373, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8371, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), _u8371), c_COMBC(_u8373, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_prod(_u8371, _u8373)), tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), _u8371), hAPP(c_COMBB(tc_prod(_u8371, _u8373), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool), _u8373), c_member(tc_prod(_u8371, _u8373)))), c_Product__Type_OPair(_u8371, _u8373)))), _u8375)), hAPP(hAPP(c_COMBC(_u8371, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_fun(_u8373, tc_HOL_Obool)), _u8371), c_COMBC(_u8373, tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8373, tc_prod(_u8371, _u8373)), tc_fun(_u8373, tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool)), _u8371), hAPP(c_COMBB(tc_prod(_u8371, _u8373), tc_fun(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool), tc_HOL_Obool), _u8373), c_member(tc_prod(_u8371, _u8373)))), c_Product__Type_OPair(_u8371, _u8373)))), _u8377)), _u8379), _u8381)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8371, _u8373)), hAPP(hAPP(c_Product__Type_OPair(_u8371, _u8373), _u8379), _u8381)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8371, _u8373), tc_HOL_Obool)), _u8375), _u8377))) )).
% 13.06/13.32 cnf(matrix-4580, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8372, _u8374)), hAPP(hAPP(c_Product__Type_OPair(_u8372, _u8374), _u8380), _u8382)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool)), _u8376), _u8378))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8372, tc_fun(_u8374, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8372, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), _u8372), c_COMBC(_u8374, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_prod(_u8372, _u8374)), tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), _u8372), hAPP(c_COMBB(tc_prod(_u8372, _u8374), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool), _u8374), c_member(tc_prod(_u8372, _u8374)))), c_Product__Type_OPair(_u8372, _u8374)))), _u8376)), hAPP(hAPP(c_COMBC(_u8372, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_fun(_u8374, tc_HOL_Obool)), _u8372), c_COMBC(_u8374, tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8374, tc_prod(_u8372, _u8374)), tc_fun(_u8374, tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool)), _u8372), hAPP(c_COMBB(tc_prod(_u8372, _u8374), tc_fun(tc_fun(tc_prod(_u8372, _u8374), tc_HOL_Obool), tc_HOL_Obool), _u8374), c_member(tc_prod(_u8372, _u8374)))), c_Product__Type_OPair(_u8372, _u8374)))), _u8378)), _u8380), _u8382)) )).
% 13.06/13.32 cnf(matrix-4581, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 13.06/13.32 cnf(matrix-4582, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool)), _u8384), _u8385)), c_Wellfounded_Omax__ext(_u8383, _u8386))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool)), _u8387), _u8388)), c_Wellfounded_Omax__ext(_u8383, _u8386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8383, tc_HOL_Obool), tc_fun(_u8383, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8383, tc_HOL_Obool)), _u8384), _u8387)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8383, tc_HOL_Obool)), _u8385), _u8388))), c_Wellfounded_Omax__ext(_u8383, _u8386))) )).
% 13.06/13.32 cnf(matrix-4583, plain, ( ~c_Wellfounded_Omax__extp(_u8393, hAPP(hAPP(c_COMBC(_u8393, tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8393, tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool)), _u8393), c_COMBC(_u8393, tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8393, tc_prod(_u8393, _u8393)), tc_fun(_u8393, tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool)), _u8393), hAPP(c_COMBB(tc_prod(_u8393, _u8393), tc_fun(tc_fun(tc_prod(_u8393, _u8393), tc_HOL_Obool), tc_HOL_Obool), _u8393), c_member(tc_prod(_u8393, _u8393)))), c_Product__Type_OPair(_u8393, _u8393)))), _u8395), _u8397, _u8399) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8393, tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8393, tc_HOL_Obool), tc_fun(_u8393, tc_HOL_Obool)), _u8397), _u8399)), c_Wellfounded_Omax__ext(_u8393, _u8395))) )).
% 13.06/13.32 cnf(matrix-4584, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8394, tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8394, tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool)), _u8398), _u8400)), c_Wellfounded_Omax__ext(_u8394, _u8396))) | c_Wellfounded_Omax__extp(_u8394, hAPP(hAPP(c_COMBC(_u8394, tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8394, tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_fun(_u8394, tc_HOL_Obool)), _u8394), c_COMBC(_u8394, tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8394, tc_prod(_u8394, _u8394)), tc_fun(_u8394, tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool)), _u8394), hAPP(c_COMBB(tc_prod(_u8394, _u8394), tc_fun(tc_fun(tc_prod(_u8394, _u8394), tc_HOL_Obool), tc_HOL_Obool), _u8394), c_member(tc_prod(_u8394, _u8394)))), c_Product__Type_OPair(_u8394, _u8394)))), _u8396), _u8398, _u8400) )).
% 13.06/13.32 cnf(matrix-4585, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8413, _u8413)), hAPP(hAPP(c_Product__Type_OPair(_u8413, _u8413), hAPP(_u8417, _u8409)), hAPP(_u8417, _u8411))), _u8415)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8407, _u8407)), hAPP(hAPP(c_Product__Type_OPair(_u8407, _u8407), _u8409), _u8411)), hAPP(hAPP(c_Relation_Oinv__image(_u8413, _u8407), _u8415), _u8417))) )).
% 13.06/13.32 cnf(matrix-4586, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8414, _u8414)), hAPP(hAPP(c_Product__Type_OPair(_u8414, _u8414), hAPP(_u8418, _u8410)), hAPP(_u8418, _u8412))), _u8416)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8408, _u8408)), hAPP(hAPP(c_Product__Type_OPair(_u8408, _u8408), _u8410), _u8412)), hAPP(hAPP(c_Relation_Oinv__image(_u8414, _u8408), _u8416), _u8418))) )).
% 13.06/13.32 cnf(matrix-4587, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8419, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8419), tc_HOL_Obool)), _u8420), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8419), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8419)), _u8421)), c_Com_Ocom_OBODY)), _u8422)), _u8423)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8419), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8419, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8419))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8419)), _u8421)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u8422)), _u8423)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u8424), _u8423)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8419, _u8420, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8419)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8419), hAPP(_u8421, _u8424)), hAPP(c_Com_Ocom_OBODY, _u8424)), hAPP(_u8422, _u8424))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8419), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4588, 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)), _u8427), 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)), _u8429), 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)), _u8427), _u8429)), c_Int_Ointrel)) )).
% 13.06/13.32 cnf(matrix-4589, 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)), _u8428), _u8430)), 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)), _u8428), 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)), _u8430), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4590, plain, ( hBOOL(hAPP(hAPP(_u8433, _u8435), _u8436)) | hBOOL(hAPP(hAPP(_u8434, _u8435), _u8436)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8431, tc_fun(_u8432, tc_HOL_Obool))), _u8433), _u8434), _u8435), _u8436)) )).
% 13.06/13.32 cnf(matrix-4591, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8441, tc_fun(_u8442, tc_HOL_Obool))), _u8440), _u8437), _u8438), _u8439)) | ~hBOOL(hAPP(hAPP(_u8437, _u8438), _u8439)) )).
% 13.06/13.32 cnf(matrix-4592, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8441, tc_fun(_u8442, tc_HOL_Obool))), _u8440), _u8437), _u8438), _u8439)) | ~hBOOL(hAPP(hAPP(_u8440, _u8438), _u8439)) )).
% 13.06/13.32 cnf(matrix-4593, plain, ( ( _u8443 != hAPP(_u8444, _u8445)) | ~hBOOL(hAPP(hAPP(c_member(_u8446), _u8445), _u8447)) | hBOOL(hAPP(hAPP(c_member(_u8448), _u8443), hAPP(c_Set_Oimage(_u8446, _u8448, _u8444), _u8447))) )).
% 13.06/13.32 cnf(matrix-4594, plain, ( ( hAPP(c_Relation_OImage(_u8449, _u8450, _u8451), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8449, tc_HOL_Obool)), _u8452), _u8453)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8450, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8449, _u8450, _u8451), _u8452)), hAPP(c_Relation_OImage(_u8449, _u8450, _u8451), _u8453))) )).
% 13.06/13.32 cnf(matrix-4595, plain, ( ( hAPP(c_Set_Oimage(_u8454, _u8455, _u8456), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8454, tc_HOL_Obool)), _u8457), _u8458)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8455, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8454, _u8455, _u8456), _u8457)), hAPP(c_Set_Oimage(_u8454, _u8455, _u8456), _u8458))) )).
% 13.06/13.32 cnf(matrix-4596, plain, ( ~hBOOL(hAPP(hAPP(_u8459, _u8460), _u8461)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8462, tc_fun(_u8463, tc_HOL_Obool))), _u8459), _u8464), _u8460), _u8461)) )).
% 13.06/13.32 cnf(matrix-4597, plain, ( ~hBOOL(hAPP(hAPP(_u8465, _u8466), _u8467)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8468, tc_fun(_u8469, tc_HOL_Obool))), _u8470), _u8465), _u8466), _u8467)) )).
% 13.06/13.32 cnf(matrix-4598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8478, tc_HOL_Obool)), _u8480), hAPP(c_Set_Oimage(_u8482, _u8478, _u8484), _u8486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8482, tc_HOL_Obool)), skolem123(_u8486, _u8484, _u8482, _u8480, _u8478)), _u8486)) )).
% 13.06/13.32 cnf(matrix-4599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8478, tc_HOL_Obool)), _u8480), hAPP(c_Set_Oimage(_u8482, _u8478, _u8484), _u8486))) | ( _u8480 = hAPP(c_Set_Oimage(_u8482, _u8478, _u8484), skolem123(_u8486, _u8484, _u8482, _u8480, _u8478))) )).
% 13.06/13.32 cnf(matrix-4600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8483, tc_HOL_Obool)), _u8472), _u8487)) | ( _u8481 != hAPP(c_Set_Oimage(_u8483, _u8479, _u8485), _u8472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8479, tc_HOL_Obool)), _u8481), hAPP(c_Set_Oimage(_u8483, _u8479, _u8485), _u8487))) )).
% 13.06/13.32 cnf(matrix-4601, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8488, tc_HOL_Obool)), _u8489), _u8490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8491, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8488, _u8491, _u8492), _u8489)), hAPP(c_Set_Oimage(_u8488, _u8491, _u8492), _u8490))) )).
% 13.06/13.32 cnf(matrix-4602, plain, ( ( hAPP(c_Set_Oimage(_u8493, _u8494, _u8495), hAPP(c_Set_Oimage(_u8496, _u8493, _u8497), _u8498)) = hAPP(c_Set_Oimage(_u8496, _u8494, hAPP(hAPP(c_COMBB(_u8493, _u8494, _u8496), _u8495), _u8497)), _u8498)) )).
% 13.06/13.32 cnf(matrix-4603, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8506), _u8508), hAPP(c_Set_Oimage(_u8510, _u8506, _u8512), _u8514))) | hBOOL(hAPP(hAPP(c_member(_u8510), skolem124(_u8514, _u8512, _u8510, _u8508)), _u8514)) )).
% 13.06/13.32 cnf(matrix-4604, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8506), _u8508), hAPP(c_Set_Oimage(_u8510, _u8506, _u8512), _u8514))) | ( _u8508 = hAPP(_u8512, skolem124(_u8514, _u8512, _u8510, _u8508))) )).
% 13.06/13.32 cnf(matrix-4605, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8511), _u8500), _u8515)) | ( _u8509 != hAPP(_u8513, _u8500)) | hBOOL(hAPP(hAPP(c_member(_u8507), _u8509), hAPP(c_Set_Oimage(_u8511, _u8507, _u8513), _u8515))) )).
% 13.06/13.32 cnf(matrix-4606, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8516), _u8517), _u8518)) | hBOOL(hAPP(hAPP(c_member(_u8519), hAPP(_u8520, _u8517)), hAPP(c_Set_Oimage(_u8516, _u8519, _u8520), _u8518))) )).
% 13.06/13.32 cnf(matrix-4607, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8521), _u8522), _u8523)) | ( _u8524 != hAPP(_u8525, _u8522)) | hBOOL(hAPP(hAPP(c_member(_u8526), _u8524), hAPP(c_Set_Oimage(_u8521, _u8526, _u8525), _u8523))) )).
% 13.06/13.32 cnf(matrix-4608, plain, ( ( hAPP(c_Set_Oimage(_u8527, _u8528, _u8529), hAPP(hAPP(c_Set_Oinsert(_u8527), _u8530), _u8531)) = hAPP(hAPP(c_Set_Oinsert(_u8528), hAPP(_u8529, _u8530)), hAPP(c_Set_Oimage(_u8527, _u8528, _u8529), _u8531))) )).
% 13.06/13.32 cnf(matrix-4609, plain, ( ( hAPP(c_Relation_OImage(_u8532, _u8533, _u8534), c_Orderings_Obot__class_Obot(tc_fun(_u8532, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8533, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4610, plain, ( ( _u8545 = c_Orderings_Obot__class_Obot(tc_fun(_u8541, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8539, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u8541, _u8539, _u8543), _u8545)) )).
% 13.06/13.32 cnf(matrix-4611, plain, ( ( _u8546 != c_Orderings_Obot__class_Obot(tc_fun(_u8542, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8540, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u8542, _u8540, _u8544), _u8546)) )).
% 13.06/13.32 cnf(matrix-4612, plain, ( ( hAPP(c_Set_Oimage(_u8547, _u8548, _u8549), c_Orderings_Obot__class_Obot(tc_fun(_u8547, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8548, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4613, plain, ( ( hAPP(c_Set_Oimage(_u8554, _u8556, _u8558), _u8560) != c_Orderings_Obot__class_Obot(tc_fun(_u8556, tc_HOL_Obool))) | ( _u8560 = c_Orderings_Obot__class_Obot(tc_fun(_u8554, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4614, plain, ( ( _u8561 != c_Orderings_Obot__class_Obot(tc_fun(_u8555, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8555, _u8557, _u8559), _u8561) = c_Orderings_Obot__class_Obot(tc_fun(_u8557, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4615, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8562, _u8563), tc_HOL_Obool)), _u8564), _u8565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8562, tc_HOL_Obool)), _u8566), _u8567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8563, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8562, _u8563, _u8564), _u8566)), hAPP(c_Relation_OImage(_u8562, _u8563, _u8565), _u8567))) )).
% 13.06/13.32 cnf(matrix-4616, plain, ( ( hAPP(c_Relation_OImage(_u8568, _u8569, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8568, _u8569), tc_HOL_Obool)), _u8570), _u8571)), _u8572) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8569, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8568, _u8569, _u8570), _u8572)), hAPP(c_Relation_OImage(_u8568, _u8569, _u8571), _u8572))) )).
% 13.06/13.32 cnf(matrix-4617, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8573), _u8574), _u8575)) | ( hAPP(hAPP(c_Set_Oinsert(_u8576), hAPP(_u8577, _u8574)), hAPP(c_Set_Oimage(_u8573, _u8576, _u8577), _u8575)) = hAPP(c_Set_Oimage(_u8573, _u8576, _u8577), _u8575)) )).
% 13.06/13.32 cnf(matrix-4618, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8578, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8578, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8579, _u8578, _u8580), _u8581)), hAPP(c_Set_Oimage(_u8579, _u8578, _u8580), _u8582))), hAPP(c_Set_Oimage(_u8579, _u8578, _u8580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8579, tc_HOL_Obool)), _u8581), _u8582)))) )).
% 13.06/13.32 cnf(matrix-4619, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8590), _u8592), hAPP(c_Relation_OImage(_u8594, _u8590, _u8596), _u8598))) | hBOOL(hAPP(hAPP(c_member(_u8594), skolem125(_u8598, _u8596, _u8594, _u8592, _u8590)), _u8598)) )).
% 13.06/13.32 cnf(matrix-4620, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8590), _u8592), hAPP(c_Relation_OImage(_u8594, _u8590, _u8596), _u8598))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8594, _u8590)), hAPP(hAPP(c_Product__Type_OPair(_u8594, _u8590), skolem125(_u8598, _u8596, _u8594, _u8592, _u8590)), _u8592)), _u8596)) )).
% 13.06/13.32 cnf(matrix-4621, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8595), _u8584), _u8599)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8595, _u8591)), hAPP(hAPP(c_Product__Type_OPair(_u8595, _u8591), _u8584), _u8593)), _u8597)) | hBOOL(hAPP(hAPP(c_member(_u8591), _u8593), hAPP(c_Relation_OImage(_u8595, _u8591, _u8597), _u8599))) )).
% 13.06/13.32 cnf(matrix-4622, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8600), _u8601), _u8602)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8600, _u8603)), hAPP(hAPP(c_Product__Type_OPair(_u8600, _u8603), _u8601), _u8604)), _u8605)) | hBOOL(hAPP(hAPP(c_member(_u8603), _u8604), hAPP(c_Relation_OImage(_u8600, _u8603, _u8605), _u8602))) )).
% 13.06/13.32 cnf(matrix-4623, plain, ( ( _u8610 != c_Orderings_Obot__class_Obot(tc_fun(_u8612, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8612, _u8614, hAPP(c_COMBK(_u8614, _u8612), _u8616)), _u8610) = c_Orderings_Obot__class_Obot(tc_fun(_u8614, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4624, plain, ( ( _u8611 = c_Orderings_Obot__class_Obot(tc_fun(_u8613, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u8613, _u8615, hAPP(c_COMBK(_u8615, _u8613), _u8617)), _u8611) = hAPP(hAPP(c_Set_Oinsert(_u8615), _u8617), c_Orderings_Obot__class_Obot(tc_fun(_u8615, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4625, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8618), _u8619), _u8620)) | ( hAPP(c_Set_Oimage(_u8618, _u8621, hAPP(c_COMBK(_u8621, _u8618), _u8622)), _u8620) = hAPP(hAPP(c_Set_Oinsert(_u8621), _u8622), c_Orderings_Obot__class_Obot(tc_fun(_u8621, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4626, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8628), _u8630), hAPP(c_Relation_OImage(_u8632, _u8628, _u8634), hAPP(hAPP(c_Set_Oinsert(_u8632), _u8636), c_Orderings_Obot__class_Obot(tc_fun(_u8632, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8632, _u8628)), hAPP(hAPP(c_Product__Type_OPair(_u8632, _u8628), _u8636), _u8630)), _u8634)) )).
% 13.06/13.32 cnf(matrix-4627, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8633, _u8629)), hAPP(hAPP(c_Product__Type_OPair(_u8633, _u8629), _u8637), _u8631)), _u8635)) | hBOOL(hAPP(hAPP(c_member(_u8629), _u8631), hAPP(c_Relation_OImage(_u8633, _u8629, _u8635), hAPP(hAPP(c_Set_Oinsert(_u8633), _u8637), c_Orderings_Obot__class_Obot(tc_fun(_u8633, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4628, plain, ( ( c_Wellfounded_Omeasure(_u8638) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u8638), c_Wellfounded_Oless__than)) )).
% 13.06/13.32 cnf(matrix-4629, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u8639, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8639), tc_HOL_Obool)), _u8640), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8639), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), hAPP(hAPP(c_COMBB(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8639)), _u8641)), c_Com_Ocom_OBODY)), _u8642)), _u8643)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8639), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), hAPP(hAPP(c_COMBB(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8639)), _u8641)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u8642)), _u8643)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8639, _u8640, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8639), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), hAPP(hAPP(c_COMBB(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8639, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8639))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8639)), _u8641)), c_Com_Ocom_OBODY)), _u8642)), _u8643)) )).
% 13.06/13.32 cnf(matrix-4630, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u8644, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8644), tc_HOL_Obool)), _u8645), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8644), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), hAPP(hAPP(c_COMBB(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8644)), _u8646)), c_Com_Ocom_OBODY)), _u8647)), _u8648)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8644), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), hAPP(hAPP(c_COMBB(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8644)), _u8646)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u8647)), _u8648)) | c_Hoare__Mirabelle_Ohoare__valids(_u8644, _u8645, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u8644), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), hAPP(hAPP(c_COMBB(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8644, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8644))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u8644)), _u8646)), c_Com_Ocom_OBODY)), _u8647)), _u8648)) )).
% 13.06/13.32 cnf(matrix-4631, plain, ( ~class_Rings_Oring__1(_u8649) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8649), 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), _u8650), _u8651)), 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(_u8649), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8649), _u8650)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8649), _u8651))) )).
% 13.06/13.32 cnf(matrix-4632, 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)))))) )).
% 13.06/13.32 cnf(matrix-4633, 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), _u8652), _u8653)), 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), _u8654), _u8655)), 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), _u8652), _u8654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8653), _u8655))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8652), _u8655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8653), _u8654)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4634, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8656, _u8657)), hAPP(hAPP(c_Product__Type_OPair(_u8656, _u8657), _u8658), _u8659)), _u8660)) | hBOOL(hAPP(hAPP(c_member(_u8661), hAPP(hAPP(_u8662, _u8658), _u8659)), hAPP(c_Set_Oimage(tc_prod(_u8656, _u8657), _u8661, hAPP(c_Product__Type_Oprod_Oprod__case(_u8656, _u8657, _u8661), _u8662)), _u8660))) )).
% 13.06/13.32 cnf(matrix-4635, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8663), _u8664) = 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)), _u8663)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8664)))) )).
% 13.06/13.32 cnf(matrix-4636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8667), _u8669)) | 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)), _u8667)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8669))) )).
% 13.06/13.32 cnf(matrix-4637, 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)), _u8668)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8670))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8668), _u8670)) )).
% 13.06/13.32 cnf(matrix-4638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8673), _u8675)) | 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)), _u8673)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8675))) )).
% 13.06/13.32 cnf(matrix-4639, 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)), _u8674)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8674), _u8676)) )).
% 13.06/13.32 cnf(matrix-4640, plain, ( ( _u8679 != _u8681) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8679) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8681)) )).
% 13.06/13.32 cnf(matrix-4641, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8680) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8682)) | ( _u8680 = _u8682) )).
% 13.06/13.32 cnf(matrix-4642, 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)), _u8683)) = _u8683) )).
% 13.06/13.32 cnf(matrix-4643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8686), _u8688)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8686)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8688))) )).
% 13.06/13.32 cnf(matrix-4644, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8687)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8689))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8687), _u8689)) )).
% 13.06/13.32 cnf(matrix-4645, 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)))) )).
% 13.06/13.32 cnf(matrix-4646, 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)))) )).
% 13.06/13.32 cnf(matrix-4647, 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), _u8690), _u8691)), 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), _u8691), _u8690)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4648, 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)))))) )).
% 13.06/13.32 cnf(matrix-4649, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8692) = 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), _u8692), 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)))))) )).
% 13.06/13.32 cnf(matrix-4650, 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), _u8693), _u8694)), 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), _u8695), _u8696)), 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), _u8693), _u8695)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8694), _u8696))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4651, 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), _u8697), _u8698)), 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), _u8697), _u8698)) )).
% 13.06/13.32 cnf(matrix-4652, 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), _u8703), _u8705)), 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), _u8707), _u8709)), 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), _u8703), _u8709)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8707), _u8705))) )).
% 13.06/13.32 cnf(matrix-4653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8704), _u8710)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8708), _u8706))) | 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), _u8704), _u8706)), 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), _u8708), _u8710)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4654, 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), _u8715), _u8717)), 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), _u8719), _u8721)), 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), _u8715), _u8721)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8719), _u8717))) )).
% 13.06/13.32 cnf(matrix-4655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8716), _u8722)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8720), _u8718))) | 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), _u8716), _u8718)), 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), _u8720), _u8722)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4656, plain, ( ~c_Relation_Oirrefl(_u8727, _u8729) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8727, _u8727)), hAPP(hAPP(c_Product__Type_OPair(_u8727, _u8727), _u8723), _u8723)), _u8729)) )).
% 13.06/13.32 cnf(matrix-4657, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u8728, _u8728)), hAPP(hAPP(c_Product__Type_OPair(_u8728, _u8728), skolem126(_u8730, _u8728)), skolem126(_u8730, _u8728))), _u8730)) | c_Relation_Oirrefl(_u8728, _u8730) )).
% 13.06/13.32 cnf(matrix-4658, plain, ( ( _u8733 = 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), skolem127(_u8733)), skolem128(_u8733))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4659, plain, ( ( hAPP(c_Relation_OField(_u8734), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u8734, _u8734)), hAPP(hAPP(c_Product__Type_OPair(_u8734, _u8734), _u8735), _u8736)), _u8737)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8734, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8734), _u8735), hAPP(hAPP(c_Set_Oinsert(_u8734), _u8736), c_Orderings_Obot__class_Obot(tc_fun(_u8734, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u8734), _u8737))) )).
% 13.06/13.32 cnf(matrix-4660, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8739), _u8740), hAPP(c_Relation_OImage(_u8741, _u8739, _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8741, _u8739)), hAPP(hAPP(c_Product__Type_OPair(_u8741, _u8739), skolem129(_u8743, _u8742, _u8741, _u8740, _u8739)), _u8740)), _u8742)) )).
% 13.06/13.32 cnf(matrix-4661, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8739), _u8740), hAPP(c_Relation_OImage(_u8741, _u8739, _u8742), _u8743))) | hBOOL(hAPP(hAPP(c_member(_u8741), skolem129(_u8743, _u8742, _u8741, _u8740, _u8739)), _u8743)) )).
% 13.06/13.32 cnf(matrix-4662, plain, ( ( hAPP(c_Relation_OField(_u8744), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u8744, _u8744), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8744, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8745, _u8745), tc_HOL_Obool)), _u8746), _u8747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8745, tc_HOL_Obool)), hAPP(c_Relation_OField(_u8745), _u8746)), hAPP(c_Relation_OField(_u8745), _u8747))) )).
% 13.06/13.32 cnf(matrix-4664, plain, ( ( hAPP(c_Relation_OField(_u8748), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8748, _u8748), tc_HOL_Obool)), _u8749), _u8750)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8748, tc_HOL_Obool)), hAPP(c_Relation_OField(_u8748), _u8749)), hAPP(c_Relation_OField(_u8748), _u8750))) )).
% 13.06/13.32 cnf(matrix-4665, plain, ( ~c_Nat__Transfer_Onat__set(_u8751) | ~c_Nat__Transfer_Onat__set(_u8752) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8751), _u8752) = 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), _u8751)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8752)))) )).
% 13.06/13.32 cnf(matrix-4666, plain, ( ~c_Nat__Transfer_Onat__set(_u8753) | ~c_Nat__Transfer_Onat__set(_u8754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8753), _u8754)) | 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), _u8753)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8754))) )).
% 13.06/13.32 cnf(matrix-4667, plain, ( ~c_Nat__Transfer_Onat__set(_u8753) | ~c_Nat__Transfer_Onat__set(_u8754) | ~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), _u8753)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8753), _u8754)) )).
% 13.06/13.32 cnf(matrix-4668, plain, ( ~c_Nat__Transfer_Onat__set(_u8755) | ~c_Nat__Transfer_Onat__set(_u8756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8755), _u8756)) | 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), _u8755)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8756))) )).
% 13.06/13.32 cnf(matrix-4669, plain, ( ~c_Nat__Transfer_Onat__set(_u8755) | ~c_Nat__Transfer_Onat__set(_u8756) | ~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), _u8755)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8755), _u8756)) )).
% 13.06/13.32 cnf(matrix-4670, plain, ( ~c_Nat__Transfer_Ois__nat(_u8757) | ~c_Nat__Transfer_Onat__set(_u8758) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8757), _u8758)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8757)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8758))) )).
% 13.06/13.32 cnf(matrix-4671, plain, ( ~c_Nat__Transfer_Ois__nat(_u8757) | ~c_Nat__Transfer_Onat__set(_u8758) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u8757)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8758))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8757), _u8758)) )).
% 13.06/13.32 cnf(matrix-4672, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4673, plain, ( ~c_Nat__Transfer_Onat__set(_u8759) | ~c_Nat__Transfer_Onat__set(_u8760) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8759), _u8760)) )).
% 13.06/13.32 cnf(matrix-4674, plain, ( ~c_Nat__Transfer_Onat__set(_u8764) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8761), _u8764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8761)) )).
% 13.06/13.32 cnf(matrix-4675, plain, ( c_Nat__Transfer_Onat__set(_u8765) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u8765)), _u8765)) )).
% 13.06/13.32 cnf(matrix-4676, plain, ( c_Nat__Transfer_Onat__set(_u8765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem130(_u8765))) )).
% 13.06/13.32 cnf(matrix-4677, 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)), _u8766)) )).
% 13.06/13.32 cnf(matrix-4678, plain, ( ~c_Nat__Transfer_Onat__set(_u8767) | ~c_Nat__Transfer_Onat__set(_u8768) | ( _u8767 != _u8768) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8767) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8768)) )).
% 13.06/13.32 cnf(matrix-4679, plain, ( ~c_Nat__Transfer_Onat__set(_u8767) | ~c_Nat__Transfer_Onat__set(_u8768) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8767) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8768)) | ( _u8767 = _u8768) )).
% 13.06/13.32 cnf(matrix-4680, plain, ( ~c_Nat__Transfer_Onat__set(_u8769) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8770), _u8769)) | c_Nat__Transfer_Ois__nat(_u8770) )).
% 13.06/13.32 cnf(matrix-4681, plain, ( ~c_Nat__Transfer_Onat__set(_u8771) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u8772), _u8771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8772)) )).
% 13.06/13.32 cnf(matrix-4682, plain, ( ~c_Nat__Transfer_Onat__set(_u8773) | ( 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), _u8773)) = _u8773) )).
% 13.06/13.32 cnf(matrix-4683, plain, ( ~c_Equiv__Relations_Oequiv(_u8774, _u8775, _u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8774, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8774, _u8774, _u8776), hAPP(hAPP(c_Set_Oinsert(_u8774), _u8777), c_Orderings_Obot__class_Obot(tc_fun(_u8774, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8774, _u8774, _u8776), hAPP(hAPP(c_Set_Oinsert(_u8774), _u8778), c_Orderings_Obot__class_Obot(tc_fun(_u8774, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u8774), _u8777), _u8775)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8774, _u8774)), hAPP(hAPP(c_Product__Type_OPair(_u8774, _u8774), _u8778), _u8777)), _u8776)) )).
% 13.06/13.32 cnf(matrix-4684, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8782, hAPP(hAPP(c_COMBC(_u8782, tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_fun(_u8782, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8782, tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_fun(_u8782, tc_HOL_Obool)), _u8782), c_COMBC(_u8782, tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8782, tc_prod(_u8782, _u8782)), tc_fun(_u8782, tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool)), _u8782), hAPP(c_COMBB(tc_prod(_u8782, _u8782), tc_fun(tc_fun(tc_prod(_u8782, _u8782), tc_HOL_Obool), tc_HOL_Obool), _u8782), c_member(tc_prod(_u8782, _u8782)))), c_Product__Type_OPair(_u8782, _u8782)))), _u8784)), _u8786)) | hBOOL(hAPP(hAPP(c_member(_u8782), _u8786), c_Wellfounded_Oacc(_u8782, _u8784))) )).
% 13.06/13.32 cnf(matrix-4685, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8783), _u8787), c_Wellfounded_Oacc(_u8783, _u8785))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8783, hAPP(hAPP(c_COMBC(_u8783, tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_fun(_u8783, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8783, tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_fun(_u8783, tc_HOL_Obool)), _u8783), c_COMBC(_u8783, tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8783, tc_prod(_u8783, _u8783)), tc_fun(_u8783, tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool)), _u8783), hAPP(c_COMBB(tc_prod(_u8783, _u8783), tc_fun(tc_fun(tc_prod(_u8783, _u8783), tc_HOL_Obool), tc_HOL_Obool), _u8783), c_member(tc_prod(_u8783, _u8783)))), c_Product__Type_OPair(_u8783, _u8783)))), _u8785)), _u8787)) )).
% 13.06/13.32 cnf(matrix-4686, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8788)) | 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))), _u8788)), c_FunDef_Omax__weak)) )).
% 13.06/13.32 cnf(matrix-4687, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8789)) | ( _u8789 = 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))), _u8789)), c_FunDef_Omax__strict)) )).
% 13.06/13.32 cnf(matrix-4688, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u8790, _u8790)), _u8791)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8790), hAPP(c_Relation_OField(_u8790), _u8791))) )).
% 13.06/13.32 cnf(matrix-4689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8792, _u8792), tc_HOL_Obool)), _u8793), _u8794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8792, tc_HOL_Obool)), c_Wellfounded_Oacc(_u8792, _u8794)), c_Wellfounded_Oacc(_u8792, _u8793))) )).
% 13.06/13.32 cnf(matrix-4690, plain, ( ~c_Equiv__Relations_Oequiv(_u8795, _u8796, _u8797) | ~hBOOL(hAPP(hAPP(c_member(_u8795), _u8798), _u8796)) | hBOOL(hAPP(hAPP(c_member(_u8795), _u8798), hAPP(c_Relation_OImage(_u8795, _u8795, _u8797), hAPP(hAPP(c_Set_Oinsert(_u8795), _u8798), c_Orderings_Obot__class_Obot(tc_fun(_u8795, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4691, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8804), _u8806), c_Wellfounded_Oacc(_u8804, _u8808))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8804, _u8804)), hAPP(hAPP(c_Product__Type_OPair(_u8804, _u8804), _u8799), _u8806)), _u8808)) | hBOOL(hAPP(hAPP(c_member(_u8804), _u8799), c_Wellfounded_Oacc(_u8804, _u8808))) )).
% 13.06/13.32 cnf(matrix-4692, plain, ( hBOOL(hAPP(hAPP(c_member(_u8805), _u8807), c_Wellfounded_Oacc(_u8805, _u8809))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8805, _u8805)), hAPP(hAPP(c_Product__Type_OPair(_u8805, _u8805), skolem131(_u8809, _u8807, _u8805)), _u8807)), _u8809)) )).
% 13.06/13.32 cnf(matrix-4693, plain, ( hBOOL(hAPP(hAPP(c_member(_u8805), _u8807), c_Wellfounded_Oacc(_u8805, _u8809))) | ~hBOOL(hAPP(hAPP(c_member(_u8805), skolem131(_u8809, _u8807, _u8805)), c_Wellfounded_Oacc(_u8805, _u8809))) )).
% 13.06/13.32 cnf(matrix-4694, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8810), _u8811), c_Wellfounded_Oacc(_u8810, _u8812))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8810, _u8810)), hAPP(hAPP(c_Product__Type_OPair(_u8810, _u8810), _u8813), _u8811)), _u8812)) | hBOOL(hAPP(hAPP(c_member(_u8810), _u8813), c_Wellfounded_Oacc(_u8810, _u8812))) )).
% 13.06/13.32 cnf(matrix-4695, plain, ( ~c_Equiv__Relations_Oequiv(_u8814, _u8815, _u8816) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8814, _u8814)), hAPP(hAPP(c_Product__Type_OPair(_u8814, _u8814), _u8817), _u8818)), _u8816)) | ( hAPP(c_Relation_OImage(_u8814, _u8814, _u8816), hAPP(hAPP(c_Set_Oinsert(_u8814), _u8817), c_Orderings_Obot__class_Obot(tc_fun(_u8814, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8814, _u8814, _u8816), hAPP(hAPP(c_Set_Oinsert(_u8814), _u8818), c_Orderings_Obot__class_Obot(tc_fun(_u8814, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4696, plain, ( ( hAPP(c_Relation_OImage(_u8819, _u8819, _u8820), hAPP(hAPP(c_Set_Oinsert(_u8819), _u8821), c_Orderings_Obot__class_Obot(tc_fun(_u8819, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8819, _u8819, _u8820), hAPP(hAPP(c_Set_Oinsert(_u8819), _u8822), c_Orderings_Obot__class_Obot(tc_fun(_u8819, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u8819, _u8823, _u8820) | ~hBOOL(hAPP(hAPP(c_member(_u8819), _u8822), _u8823)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8819, _u8819)), hAPP(hAPP(c_Product__Type_OPair(_u8819, _u8819), _u8821), _u8822)), _u8820)) )).
% 13.06/13.32 cnf(matrix-4697, plain, ( ~c_Equiv__Relations_Oequiv(_u8824, _u8825, _u8826) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8827), _u8825)) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8828), _u8825)) | ( hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8827), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8828), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8824, _u8824)), hAPP(hAPP(c_Product__Type_OPair(_u8824, _u8824), _u8827), _u8828)), _u8826)) )).
% 13.06/13.32 cnf(matrix-4698, plain, ( ~c_Equiv__Relations_Oequiv(_u8824, _u8825, _u8826) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8827), _u8825)) | ~hBOOL(hAPP(hAPP(c_member(_u8824), _u8828), _u8825)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8824, _u8824)), hAPP(hAPP(c_Product__Type_OPair(_u8824, _u8824), _u8827), _u8828)), _u8826)) | ( hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8827), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8824, _u8824, _u8826), hAPP(hAPP(c_Set_Oinsert(_u8824), _u8828), c_Orderings_Obot__class_Obot(tc_fun(_u8824, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4699, plain, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) | ( hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8832), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8833), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4700, plain, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) | hBOOL(hAPP(hAPP(c_member(_u8829), _u8832), _u8830)) )).
% 13.06/13.32 cnf(matrix-4701, plain, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) | hBOOL(hAPP(hAPP(c_member(_u8829), _u8833), _u8830)) )).
% 13.06/13.32 cnf(matrix-4702, plain, ( ~c_Equiv__Relations_Oequiv(_u8829, _u8830, _u8831) | ( hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8832), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8829, _u8829, _u8831), hAPP(hAPP(c_Set_Oinsert(_u8829), _u8833), c_Orderings_Obot__class_Obot(tc_fun(_u8829, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u8829), _u8832), _u8830)) | ~hBOOL(hAPP(hAPP(c_member(_u8829), _u8833), _u8830)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8829, _u8829)), hAPP(hAPP(c_Product__Type_OPair(_u8829, _u8829), _u8832), _u8833)), _u8831)) )).
% 13.06/13.32 cnf(matrix-4703, plain, ( ~c_Equiv__Relations_Oequiv(_u8834, _u8835, _u8836) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8834, _u8834)), hAPP(hAPP(c_Product__Type_OPair(_u8834, _u8834), _u8837), _u8838)), _u8836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8834, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8834, _u8834, _u8836), hAPP(hAPP(c_Set_Oinsert(_u8834), _u8837), c_Orderings_Obot__class_Obot(tc_fun(_u8834, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8834, _u8834, _u8836), hAPP(hAPP(c_Set_Oinsert(_u8834), _u8838), c_Orderings_Obot__class_Obot(tc_fun(_u8834, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-4704, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8839), _u8840)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8839), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8839, tc_HOL_Obool)), _u8840), _u8841))) )).
% 13.06/13.32 cnf(matrix-4705, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8842), _u8843)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8844), hAPP(c_Set_Oimage(_u8842, _u8844, _u8845), _u8843))) )).
% 13.06/13.32 cnf(matrix-4706, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8846), _u8847)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8846), hAPP(hAPP(c_Set_Oinsert(_u8846), _u8848), _u8847))) )).
% 13.06/13.32 cnf(matrix-4707, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8849), c_Orderings_Obot__class_Obot(tc_fun(_u8849, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4708, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8851)) | 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)), _u8851))) )).
% 13.06/13.32 cnf(matrix-4709, 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)), _u8852))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8852)) )).
% 13.06/13.32 cnf(matrix-4710, plain, ( ~c_Nat__Transfer_Onat__set(_u8853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8853)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8853))) )).
% 13.06/13.32 cnf(matrix-4711, plain, ( ~c_Nat__Transfer_Onat__set(_u8853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8853))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8853)) )).
% 13.06/13.32 cnf(matrix-4712, plain, ( ~class_Finite__Set_Ofinite(_u8854) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8854), _u8855)) )).
% 13.06/13.32 cnf(matrix-4713, plain, ( ~class_Finite__Set_Ofinite(_u8856) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8856), _u8857)) )).
% 13.06/13.32 cnf(matrix-4714, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8858), c_Orderings_Obot__class_Obot(tc_fun(_u8858, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4715, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8862), hAPP(hAPP(c_Set_Oinsert(_u8862), _u8864), _u8866))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8862), _u8866)) )).
% 13.06/13.32 cnf(matrix-4716, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8863), _u8867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8863), hAPP(hAPP(c_Set_Oinsert(_u8863), _u8865), _u8867))) )).
% 13.06/13.32 cnf(matrix-4717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8868, tc_HOL_Obool)), _u8869), _u8870)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8868), _u8870)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8868), _u8869)) )).
% 13.06/13.32 cnf(matrix-4718, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8871, tc_HOL_Obool)), _u8873), _u8872)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8873)) )).
% 13.06/13.32 cnf(matrix-4719, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8877, tc_HOL_Obool)), _u8879), _u8881))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8879)) )).
% 13.06/13.32 cnf(matrix-4720, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8877, tc_HOL_Obool)), _u8879), _u8881))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8877), _u8881)) )).
% 13.06/13.32 cnf(matrix-4721, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8878), _u8880)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8878), _u8882)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8878), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8878, tc_HOL_Obool)), _u8880), _u8882))) )).
% 13.06/13.32 cnf(matrix-4722, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8883), _u8884)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8883), _u8885)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8883, tc_HOL_Obool)), _u8884), _u8885))) )).
% 13.06/13.32 cnf(matrix-4723, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8887)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8886, tc_HOL_Obool)), _u8888), _u8887))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8888)) )).
% 13.06/13.32 cnf(matrix-4724, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8887)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), _u8888)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8886), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8886, tc_HOL_Obool)), _u8888), _u8887))) )).
% 13.06/13.32 cnf(matrix-4725, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8889), _u8890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8891, tc_HOL_Obool)), _u8892), hAPP(c_Set_Oimage(_u8889, _u8891, _u8893), _u8890))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8891), _u8892)) )).
% 13.06/13.32 cnf(matrix-4726, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8898, tc_HOL_Obool)), _u8900), hAPP(hAPP(c_Set_Oinsert(_u8898), _u8902), _u8904)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8898, tc_HOL_Obool)), _u8900), _u8904))) )).
% 13.06/13.32 cnf(matrix-4727, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8899, tc_HOL_Obool)), _u8901), _u8905))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8899, tc_HOL_Obool)), _u8901), hAPP(hAPP(c_Set_Oinsert(_u8899), _u8903), _u8905)))) )).
% 13.06/13.32 cnf(matrix-4728, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool)), _u8911), _u8913)), c_Wellfounded_Ofinite__psubset(_u8909))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8909, tc_HOL_Obool)), _u8911), _u8913)) )).
% 13.06/13.32 cnf(matrix-4729, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8909, tc_HOL_Obool), tc_fun(_u8909, tc_HOL_Obool)), _u8911), _u8913)), c_Wellfounded_Ofinite__psubset(_u8909))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8909), _u8913)) )).
% 13.06/13.32 cnf(matrix-4730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8910, tc_HOL_Obool)), _u8912), _u8914)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8910), _u8914)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8910, tc_HOL_Obool), tc_fun(_u8910, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8910, tc_HOL_Obool), tc_fun(_u8910, tc_HOL_Obool)), _u8912), _u8914)), c_Wellfounded_Ofinite__psubset(_u8910))) )).
% 13.06/13.32 cnf(matrix-4731, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8920)), _u8921)), _u8922)), _u8917)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8923)), _u8921)), _u8924)), _u8917)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8918), hAPP(_u8920, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8921, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8922, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8918), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4732, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8916), _u8917)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8920)), _u8921)), _u8922)), _u8917)) | c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(c_Set_Oimage(_u8916, tc_Hoare__Mirabelle_Otriple(_u8918), hAPP(hAPP(c_COMBS(_u8916, tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(c_COMBS(_u8916, tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), hAPP(hAPP(c_COMBB(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u8918, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u8918))), _u8916), c_Hoare__Mirabelle_Otriple_Otriple(_u8918)), _u8923)), _u8921)), _u8924)), _u8917)) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u8918, _u8919, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u8918)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u8918), hAPP(_u8923, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8921, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916))), hAPP(_u8924, skolem132(_u8924, _u8923, _u8922, _u8921, _u8920, _u8919, _u8918, _u8917, _u8916)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8918), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4733, plain, ( ~c_Finite__Set_Ofolding__one(_u8925, _u8926, _u8927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8925), _u8928)) | ~hBOOL(hAPP(hAPP(c_member(_u8925), _u8929), _u8928)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8925, tc_HOL_Obool)), _u8928), hAPP(hAPP(c_Set_Oinsert(_u8925), _u8929), c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool))) | ( hAPP(_u8927, _u8928) = _u8929) )).
% 13.06/13.32 cnf(matrix-4734, plain, ( ~c_Finite__Set_Ofolding__one(_u8925, _u8926, _u8927) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8925), _u8928)) | ~hBOOL(hAPP(hAPP(c_member(_u8925), _u8929), _u8928)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8925, tc_HOL_Obool)), _u8928), hAPP(hAPP(c_Set_Oinsert(_u8925), _u8929), c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool))) | ( hAPP(_u8927, _u8928) = hAPP(hAPP(_u8926, _u8929), hAPP(_u8927, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8925, tc_HOL_Obool)), _u8928), hAPP(hAPP(c_Set_Oinsert(_u8925), _u8929), c_Orderings_Obot__class_Obot(tc_fun(_u8925, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4735, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8931), _u8936)) | ~hBOOL(hAPP(hAPP(c_member(_u8931), _u8937), _u8936)) | ( hAPP(_u8935, _u8936) = hAPP(hAPP(_u8932, hAPP(_u8934, _u8937)), hAPP(_u8935, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8931, tc_HOL_Obool)), _u8936), hAPP(hAPP(c_Set_Oinsert(_u8931), _u8937), c_Orderings_Obot__class_Obot(tc_fun(_u8931, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8930, _u8931, _u8932, _u8933, _u8934, _u8935) )).
% 13.06/13.32 cnf(matrix-4736, plain, ( ( hAPP(_u8943, c_Orderings_Obot__class_Obot(tc_fun(_u8939, tc_HOL_Obool))) = _u8941) | ~c_Finite__Set_Ofolding__image__simple(_u8938, _u8939, _u8940, _u8941, _u8942, _u8943) )).
% 13.06/13.32 cnf(matrix-4737, plain, ( ~c_Finite__Set_Ofolding__one(_u8944, _u8945, _u8946) | ( hAPP(_u8946, hAPP(hAPP(c_Set_Oinsert(_u8944), _u8947), c_Orderings_Obot__class_Obot(tc_fun(_u8944, tc_HOL_Obool)))) = _u8947) )).
% 13.06/13.32 cnf(matrix-4738, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8949), _u8954)) | hBOOL(hAPP(hAPP(c_member(_u8949), _u8955), _u8954)) | ( hAPP(_u8953, hAPP(hAPP(c_Set_Oinsert(_u8949), _u8955), _u8954)) = hAPP(hAPP(_u8950, hAPP(_u8952, _u8955)), hAPP(_u8953, _u8954))) | ~c_Finite__Set_Ofolding__image__simple(_u8948, _u8949, _u8950, _u8951, _u8952, _u8953) )).
% 13.06/13.32 cnf(matrix-4739, plain, ( ~c_Finite__Set_Ofolding__one(_u8956, _u8957, _u8958) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8956), _u8959)) | hBOOL(hAPP(hAPP(c_member(_u8956), _u8960), _u8959)) | ( _u8959 = c_Orderings_Obot__class_Obot(tc_fun(_u8956, tc_HOL_Obool))) | ( hAPP(_u8958, hAPP(hAPP(c_Set_Oinsert(_u8956), _u8960), _u8959)) = hAPP(hAPP(_u8957, _u8960), hAPP(_u8958, _u8959))) )).
% 13.06/13.32 cnf(matrix-4740, plain, ( ~c_Finite__Set_Ofolding__one(_u8961, _u8962, _u8963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8961), _u8964)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8961, tc_HOL_Obool)), _u8964), hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool))) | ( hAPP(_u8963, hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), _u8964)) = _u8965) )).
% 13.06/13.32 cnf(matrix-4741, plain, ( ~c_Finite__Set_Ofolding__one(_u8961, _u8962, _u8963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8961), _u8964)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8961, tc_HOL_Obool)), _u8964), hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool))) | ( hAPP(_u8963, hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), _u8964)) = hAPP(hAPP(_u8962, _u8965), hAPP(_u8963, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8961, tc_HOL_Obool)), _u8964), hAPP(hAPP(c_Set_Oinsert(_u8961), _u8965), c_Orderings_Obot__class_Obot(tc_fun(_u8961, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4742, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8967), _u8972)) | ( hAPP(_u8971, hAPP(hAPP(c_Set_Oinsert(_u8967), _u8973), _u8972)) = hAPP(hAPP(_u8968, hAPP(_u8970, _u8973)), hAPP(_u8971, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8967, tc_HOL_Obool)), _u8972), hAPP(hAPP(c_Set_Oinsert(_u8967), _u8973), c_Orderings_Obot__class_Obot(tc_fun(_u8967, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8966, _u8967, _u8968, _u8969, _u8970, _u8971) )).
% 13.06/13.32 cnf(matrix-4743, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8979)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8974), _u8979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8974), skolem133(_u8979))) )).
% 13.06/13.32 cnf(matrix-4744, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8980)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem134(_u8980, _u8977)), _u8980)) )).
% 13.06/13.32 cnf(matrix-4745, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem134(_u8980, _u8977)), _u8977)) )).
% 13.06/13.32 cnf(matrix-4746, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8986)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8981), _u8986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8981), skolem135(_u8986))) )).
% 13.06/13.32 cnf(matrix-4747, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8987)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem136(_u8987, _u8984)), _u8987)) )).
% 13.06/13.32 cnf(matrix-4748, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem136(_u8987, _u8984)), _u8984)) )).
% 13.06/13.32 cnf(matrix-4749, plain, ( ~c_Equiv__Relations_Oequiv(_u8988, _u8989, _u8990) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8991), _u8989)) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8992), _u8989)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8991), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8992), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8988, _u8988)), hAPP(hAPP(c_Product__Type_OPair(_u8988, _u8988), _u8991), _u8992)), _u8990)) )).
% 13.06/13.32 cnf(matrix-4750, plain, ( ~c_Equiv__Relations_Oequiv(_u8988, _u8989, _u8990) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8991), _u8989)) | ~hBOOL(hAPP(hAPP(c_member(_u8988), _u8992), _u8989)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8988, _u8988)), hAPP(hAPP(c_Product__Type_OPair(_u8988, _u8988), _u8991), _u8992)), _u8990)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8991), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8988), hAPP(hAPP(c_Set_Oinsert(_u8988), _u8992), c_Orderings_Obot__class_Obot(tc_fun(_u8988, tc_HOL_Obool)))), _u8990)) )).
% 13.06/13.32 cnf(matrix-4751, plain, ( ~c_Equiv__Relations_Oequiv(_u8993, _u8994, _u8995) | ~hBOOL(hAPP(hAPP(c_member(_u8993), _u8996), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8993, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8993, _u8993, _u8995), hAPP(hAPP(c_Set_Oinsert(_u8993), _u8997), c_Orderings_Obot__class_Obot(tc_fun(_u8993, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8993, _u8993, _u8995), hAPP(hAPP(c_Set_Oinsert(_u8993), _u8998), c_Orderings_Obot__class_Obot(tc_fun(_u8993, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8993, _u8993)), hAPP(hAPP(c_Product__Type_OPair(_u8993, _u8993), _u8997), _u8998)), _u8995)) )).
% 13.06/13.32 cnf(matrix-4752, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8999, tc_HOL_Obool)), _u9000), _u9001), _u9002)) | hBOOL(hAPP(_u9000, _u9002)) )).
% 13.06/13.32 cnf(matrix-4753, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8999, tc_HOL_Obool)), _u9000), _u9001), _u9002)) | hBOOL(hAPP(_u9001, _u9002)) )).
% 13.06/13.32 cnf(matrix-4754, plain, ( ~hBOOL(hAPP(_u9003, _u9004)) | ~hBOOL(hAPP(_u9005, _u9004)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9006, tc_HOL_Obool)), _u9003), _u9005), _u9004)) )).
% 13.06/13.32 cnf(matrix-4755, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9007), _u9008), _u9009)) | ~hBOOL(hAPP(hAPP(c_member(_u9007), _u9008), _u9010)) | hBOOL(hAPP(hAPP(c_member(_u9007), _u9008), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9007, tc_HOL_Obool)), _u9009), _u9010))) )).
% 13.06/13.32 cnf(matrix-4756, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9011, tc_HOL_Obool)), _u9013), _u9014))) | hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), _u9013)) )).
% 13.06/13.32 cnf(matrix-4757, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9011, tc_HOL_Obool)), _u9013), _u9014))) | hBOOL(hAPP(hAPP(c_member(_u9011), _u9012), _u9014)) )).
% 13.06/13.32 cnf(matrix-4758, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9015, tc_HOL_Obool)), _u9016), _u9017))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), _u9016)) )).
% 13.06/13.32 cnf(matrix-4759, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9015, tc_HOL_Obool)), _u9016), _u9017))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9015), _u9017)) )).
% 13.06/13.32 cnf(matrix-4760, plain, ( ~c_Equiv__Relations_Oequiv(_u9018, _u9019, _u9020) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9018, tc_HOL_Obool)), _u9021), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9018), _u9019), _u9020))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9018, tc_HOL_Obool)), _u9022), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9018), _u9019), _u9020))) | ( _u9021 = _u9022) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9018, tc_HOL_Obool)), _u9021), _u9022) = c_Orderings_Obot__class_Obot(tc_fun(_u9018, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4761, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9023), c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool))), _u9024) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9023, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4762, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9028, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9028), _u9030), _u9032)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9028, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4763, plain, ( ( _u9031 != c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9029, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9029), _u9031), _u9033)) )).
% 13.06/13.32 cnf(matrix-4764, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9037), _u9039), _u9041) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9037, tc_HOL_Obool), tc_HOL_Obool))) | ( _u9039 = c_Orderings_Obot__class_Obot(tc_fun(_u9037, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4765, plain, ( ( _u9040 != c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9038), _u9040), _u9042) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9038, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4766, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9047, tc_fun(_u9047, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9047)), _u9049)), hAPP(hAPP(c_COMBC(_u9047, tc_fun(_u9047, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9047)), _u9051)), _u9053)) | hBOOL(hAPP(hAPP(c_member(_u9047), _u9053), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), _u9049), _u9051))) )).
% 13.06/13.32 cnf(matrix-4767, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9048), _u9054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9048, tc_HOL_Obool)), _u9050), _u9052))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9048, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9048, tc_fun(_u9048, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9048)), _u9050)), hAPP(hAPP(c_COMBC(_u9048, tc_fun(_u9048, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9048)), _u9052)), _u9054)) )).
% 13.06/13.32 cnf(matrix-4768, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9055, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9055, tc_HOL_Obool)), _u9056), _u9057)), _u9056)) )).
% 13.06/13.32 cnf(matrix-4769, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9058, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9058, tc_HOL_Obool)), _u9059), _u9060)), _u9060)) )).
% 13.06/13.32 cnf(matrix-4770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063) = _u9062) )).
% 13.06/13.32 cnf(matrix-4771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9064, tc_HOL_Obool)), _u9065), _u9066)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9064, tc_HOL_Obool)), _u9066), _u9065) = _u9065) )).
% 13.06/13.32 cnf(matrix-4772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9067, tc_HOL_Obool)), _u9068), _u9069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9067, tc_HOL_Obool)), _u9068), _u9070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9067, tc_HOL_Obool)), _u9068), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9067, tc_HOL_Obool)), _u9069), _u9070))) )).
% 13.06/13.32 cnf(matrix-4773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9073)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9074), _u9075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9074)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9071, tc_HOL_Obool)), _u9073), _u9075))) )).
% 13.06/13.32 cnf(matrix-4774, plain, ( ~class_Lattices_Olattice(_u9076) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9076), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9076), _u9077), _u9078)), _u9077)) )).
% 13.06/13.32 cnf(matrix-4775, plain, ( ~class_Lattices_Osemilattice__inf(_u9079) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9079), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9079), _u9080), _u9081)), _u9080)) )).
% 13.06/13.32 cnf(matrix-4776, plain, ( ~class_Lattices_Olattice(_u9082) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9082), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9082), _u9083), _u9084)), _u9084)) )).
% 13.06/13.32 cnf(matrix-4777, plain, ( ~class_Lattices_Osemilattice__inf(_u9085) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9085), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9085), _u9086), _u9087)), _u9087)) )).
% 13.06/13.32 cnf(matrix-4778, plain, ( ~class_Lattices_Osemilattice__inf(_u9088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9088), _u9089), _u9090)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9088), _u9089), _u9090) = _u9089) )).
% 13.06/13.32 cnf(matrix-4779, plain, ( ~class_Lattices_Osemilattice__inf(_u9088) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9088), _u9089), _u9090) != _u9089) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9088), _u9089), _u9090)) )).
% 13.06/13.32 cnf(matrix-4780, plain, ( ~class_Lattices_Osemilattice__inf(_u9091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9091), _u9093), _u9094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9093)) )).
% 13.06/13.32 cnf(matrix-4781, plain, ( ~class_Lattices_Osemilattice__inf(_u9091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9091), _u9093), _u9094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9094)) )).
% 13.06/13.32 cnf(matrix-4782, plain, ( ~class_Lattices_Osemilattice__inf(_u9091) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9093)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), _u9094)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9091), _u9092), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9091), _u9093), _u9094))) )).
% 13.06/13.32 cnf(matrix-4783, plain, ( ~class_Lattices_Osemilattice__inf(_u9095) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9095), _u9096), _u9097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9095), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9095), _u9096), _u9098)), _u9097)) )).
% 13.06/13.32 cnf(matrix-4784, plain, ( ~class_Lattices_Osemilattice__inf(_u9099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9099), _u9100), _u9101)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9099), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9099), _u9102), _u9100)), _u9101)) )).
% 13.06/13.32 cnf(matrix-4785, plain, ( ~class_Lattices_Osemilattice__inf(_u9103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9103), _u9104), _u9105)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9103), _u9104), _u9105) = _u9104) )).
% 13.06/13.32 cnf(matrix-4786, plain, ( ~class_Lattices_Osemilattice__inf(_u9106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9106), _u9107), _u9108)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9106), _u9108), _u9107) = _u9107) )).
% 13.06/13.32 cnf(matrix-4787, plain, ( ~class_Lattices_Osemilattice__inf(_u9109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9109), _u9110), _u9111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9109), _u9110), _u9112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9109), _u9110), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9109), _u9111), _u9112))) )).
% 13.06/13.32 cnf(matrix-4788, plain, ( ~class_Lattices_Osemilattice__inf(_u9113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9113), _u9114), _u9115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9113), _u9114), _u9116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9113), _u9114), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9113), _u9115), _u9116))) )).
% 13.06/13.32 cnf(matrix-4789, plain, ( ~class_Lattices_Osemilattice__inf(_u9117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9117), _u9118), _u9119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9117), _u9120), _u9121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9117), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9117), _u9118), _u9120)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9117), _u9119), _u9121))) )).
% 13.06/13.32 cnf(matrix-4790, plain, ( ~class_Lattices_Osemilattice__inf(_u9122) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9122), _u9124), _u9125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), _u9124)) )).
% 13.06/13.32 cnf(matrix-4791, plain, ( ~class_Lattices_Osemilattice__inf(_u9122) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9122), _u9124), _u9125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9122), _u9123), _u9125)) )).
% 13.06/13.32 cnf(matrix-4792, plain, ( ~class_Lattices_Osemilattice__inf(_u9126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9126), _u9127), _u9128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9126), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9126), _u9127), _u9129)), _u9128)) )).
% 13.06/13.32 cnf(matrix-4793, plain, ( ~class_Lattices_Osemilattice__inf(_u9130) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9130), _u9131), _u9132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9130), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9130), _u9133), _u9131)), _u9132)) )).
% 13.06/13.32 cnf(matrix-4794, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9134, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9135), _u9136)), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9135), _u9137)) = hAPP(hAPP(c_Set_Oinsert(_u9134), _u9135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9134, tc_HOL_Obool)), _u9136), _u9137))) )).
% 13.06/13.32 cnf(matrix-4795, plain, ( ~class_Lattices_Obounded__lattice__bot(_u9138) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9138), c_Orderings_Obot__class_Obot(_u9138)), _u9139) = c_Orderings_Obot__class_Obot(_u9138)) )).
% 13.06/13.32 cnf(matrix-4796, plain, ( ~class_Lattices_Obounded__lattice__bot(_u9140) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9140), _u9141), c_Orderings_Obot__class_Obot(_u9140)) = c_Orderings_Obot__class_Obot(_u9140)) )).
% 13.06/13.32 cnf(matrix-4797, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9142, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9142, tc_HOL_Obool))), _u9143) = c_Orderings_Obot__class_Obot(tc_fun(_u9142, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4798, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9144, tc_HOL_Obool)), _u9145), c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4799, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9153, tc_HOL_Obool)), _u9155), _u9157) != c_Orderings_Obot__class_Obot(tc_fun(_u9153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9153), _u9147), _u9155)) | ~hBOOL(hAPP(hAPP(c_member(_u9153), _u9146), _u9157)) | ( _u9147 != _u9146) )).
% 13.06/13.32 cnf(matrix-4800, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, tc_HOL_Obool)), _u9156), _u9158) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9154), skolem137(_u9158, _u9156, _u9154)), _u9156)) )).
% 13.06/13.32 cnf(matrix-4801, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, tc_HOL_Obool)), _u9156), _u9158) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9154), skolem138(_u9158, _u9156, _u9154)), _u9158)) )).
% 13.06/13.32 cnf(matrix-4802, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, tc_HOL_Obool)), _u9156), _u9158) = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | ( skolem137(_u9158, _u9156, _u9154) = skolem138(_u9158, _u9156, _u9154)) )).
% 13.06/13.32 cnf(matrix-4803, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9159), _u9160), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9159, tc_HOL_Obool)), _u9161), _u9162))) | hBOOL(hAPP(hAPP(c_member(_u9159), _u9160), _u9162)) )).
% 13.06/13.32 cnf(matrix-4804, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9163, tc_HOL_Obool)), _u9165), _u9166))) | hBOOL(hAPP(hAPP(c_member(_u9163), _u9164), _u9165)) )).
% 13.06/13.32 cnf(matrix-4805, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9171, tc_HOL_Obool)), _u9175), _u9177))) | hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), _u9175)) )).
% 13.06/13.32 cnf(matrix-4806, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9171, tc_HOL_Obool)), _u9175), _u9177))) | hBOOL(hAPP(hAPP(c_member(_u9171), _u9173), _u9177)) )).
% 13.06/13.32 cnf(matrix-4807, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9172), _u9174), _u9176)) | ~hBOOL(hAPP(hAPP(c_member(_u9172), _u9174), _u9178)) | hBOOL(hAPP(hAPP(c_member(_u9172), _u9174), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9176), _u9178))) )).
% 13.06/13.32 cnf(matrix-4808, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), _u9180), _u9181)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), _u9181), _u9182))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), _u9182), _u9180)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9179, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), _u9180), _u9181)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), _u9181), _u9182))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9179, tc_HOL_Obool)), _u9182), _u9180))) )).
% 13.06/13.32 cnf(matrix-4809, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9183, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9183, tc_HOL_Obool)), _u9184), _u9185)), _u9186) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9183, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9183, tc_HOL_Obool)), _u9184), _u9186)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9183, tc_HOL_Obool)), _u9185), _u9186))) )).
% 13.06/13.32 cnf(matrix-4810, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9187, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9187, tc_HOL_Obool)), _u9188), _u9189)), _u9190) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9187, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9187, tc_HOL_Obool)), _u9188), _u9190)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9187, tc_HOL_Obool)), _u9189), _u9190))) )).
% 13.06/13.32 cnf(matrix-4811, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9191, tc_HOL_Obool)), _u9192), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9191, tc_HOL_Obool)), _u9193), _u9194)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9191, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9191, tc_HOL_Obool)), _u9192), _u9193)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9191, tc_HOL_Obool)), _u9192), _u9194))) )).
% 13.06/13.32 cnf(matrix-4812, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9195, tc_HOL_Obool)), _u9196), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9195, tc_HOL_Obool)), _u9197), _u9198)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9195, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9195, tc_HOL_Obool)), _u9196), _u9197)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9195, tc_HOL_Obool)), _u9196), _u9198))) )).
% 13.06/13.32 cnf(matrix-4813, plain, ( ~class_Lattices_Odistrib__lattice(_u9199) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9199), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9199), _u9200), _u9201)), _u9202) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9199), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9199), _u9200), _u9202)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9199), _u9201), _u9202))) )).
% 13.06/13.32 cnf(matrix-4814, plain, ( ~class_Lattices_Odistrib__lattice(_u9203) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9203), _u9204), _u9205)), _u9206) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9203), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9203), _u9204), _u9206)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9203), _u9205), _u9206))) )).
% 13.06/13.32 cnf(matrix-4815, plain, ( ~class_Lattices_Odistrib__lattice(_u9207) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9207), _u9208), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9207), _u9209), _u9210)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9207), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9207), _u9208), _u9209)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9207), _u9208), _u9210))) )).
% 13.06/13.32 cnf(matrix-4816, plain, ( ~class_Lattices_Odistrib__lattice(_u9211) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9211), _u9212), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9211), _u9213), _u9214)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9211), _u9212), _u9213)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9211), _u9212), _u9214))) )).
% 13.06/13.32 cnf(matrix-4817, plain, ( ~class_Lattices_Olattice(_u9215) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9215), _u9216), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9215), _u9216), _u9217)) = _u9216) )).
% 13.06/13.32 cnf(matrix-4818, plain, ( ~class_Lattices_Olattice(_u9218) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9218), _u9219), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9218), _u9219), _u9220)) = _u9219) )).
% 13.06/13.32 cnf(matrix-4819, plain, ( hBOOL(hAPP(_u9223, _u9224)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9221, tc_HOL_Obool)), _u9222), _u9223), _u9224)) )).
% 13.06/13.32 cnf(matrix-4820, plain, ( hBOOL(hAPP(_u9226, _u9228)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9225, tc_HOL_Obool)), _u9226), _u9227), _u9228)) )).
% 13.06/13.32 cnf(matrix-4821, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9229, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9229, tc_HOL_Obool)), _u9230), _u9231)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9229, tc_HOL_Obool)), _u9232), _u9231)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9229, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9229, tc_HOL_Obool)), _u9230), _u9231)), _u9232)) )).
% 13.06/13.32 cnf(matrix-4822, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9233, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9233, tc_HOL_Obool)), _u9234), _u9235)), _u9236) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9233, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9233, tc_HOL_Obool)), _u9234), _u9236)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9233, tc_HOL_Obool)), _u9235), _u9236))) )).
% 13.06/13.32 cnf(matrix-4823, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9237, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9237, tc_HOL_Obool)), _u9238), _u9239)), _u9240) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9237, tc_HOL_Obool)), _u9238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9237, tc_HOL_Obool)), _u9239), _u9240))) )).
% 13.06/13.32 cnf(matrix-4824, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9242), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9241, tc_HOL_Obool)), _u9243), _u9244)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9241, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9242), _u9243)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9242), _u9244))) )).
% 13.06/13.32 cnf(matrix-4825, plain, ( ~class_Lattices_Osemilattice__inf(_u9245) | ~class_Orderings_Olinorder(_u9245) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u9245) = c_Orderings_Oord__class_Omin(_u9245)) )).
% 13.06/13.32 cnf(matrix-4826, plain, ( ~class_Lattices_Olattice(_u9246) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9247, _u9246)), _u9248), _u9249), _u9250) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9246), hAPP(_u9248, _u9250)), hAPP(_u9249, _u9250))) )).
% 13.06/13.32 cnf(matrix-4827, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), _u9252), _u9253)), _u9254) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), _u9252), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9251, tc_HOL_Obool)), _u9253), _u9254))) )).
% 13.06/13.32 cnf(matrix-4828, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9256), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9257), _u9258)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9255, tc_HOL_Obool)), _u9256), _u9258))) )).
% 13.06/13.32 cnf(matrix-4829, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9259, tc_HOL_Obool)), _u9260), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9259, tc_HOL_Obool)), _u9260), _u9261)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9259, tc_HOL_Obool)), _u9260), _u9261)) )).
% 13.06/13.32 cnf(matrix-4830, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9262, tc_HOL_Obool)), _u9263), _u9264) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9262, tc_HOL_Obool)), _u9264), _u9263)) )).
% 13.06/13.32 cnf(matrix-4831, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9265, tc_HOL_Obool)), _u9266), _u9266) = _u9266) )).
% 13.06/13.32 cnf(matrix-4832, plain, ( ~class_Lattices_Olattice(_u9267) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9268, _u9267)), _u9269), _u9270), _u9271) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9267), hAPP(_u9269, _u9271)), hAPP(_u9270, _u9271))) )).
% 13.06/13.32 cnf(matrix-4833, plain, ( ~class_Lattices_Osemilattice__inf(_u9272) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), _u9273), _u9274)), _u9275) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), _u9273), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9272), _u9274), _u9275))) )).
% 13.06/13.32 cnf(matrix-4834, plain, ( ~class_Lattices_Olattice(_u9276) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), _u9277), _u9278)), _u9279) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), _u9277), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9276), _u9278), _u9279))) )).
% 13.06/13.32 cnf(matrix-4835, plain, ( ~class_Lattices_Osemilattice__inf(_u9280) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), _u9281), _u9282)), _u9283) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), _u9281), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9280), _u9282), _u9283))) )).
% 13.06/13.32 cnf(matrix-4836, plain, ( ~class_Lattices_Osemilattice__inf(_u9284) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9285), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9286), _u9287)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9286), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9284), _u9285), _u9287))) )).
% 13.06/13.32 cnf(matrix-4837, plain, ( ~class_Lattices_Olattice(_u9288) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9289), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9290), _u9291)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9290), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9288), _u9289), _u9291))) )).
% 13.06/13.32 cnf(matrix-4838, plain, ( ~class_Lattices_Osemilattice__inf(_u9292) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9293), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9294), _u9295)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9294), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9292), _u9293), _u9295))) )).
% 13.06/13.32 cnf(matrix-4839, plain, ( ~class_Lattices_Osemilattice__inf(_u9296) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9296), _u9297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9296), _u9297), _u9298)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9296), _u9297), _u9298)) )).
% 13.06/13.32 cnf(matrix-4840, plain, ( ~class_Lattices_Olattice(_u9299) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9299), _u9300), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9299), _u9300), _u9301)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9299), _u9300), _u9301)) )).
% 13.06/13.32 cnf(matrix-4841, plain, ( ~class_Lattices_Osemilattice__inf(_u9302) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9302), _u9303), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9302), _u9303), _u9304)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9302), _u9303), _u9304)) )).
% 13.06/13.32 cnf(matrix-4842, plain, ( ~class_Lattices_Osemilattice__inf(_u9305) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9305), _u9306), _u9307) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9305), _u9307), _u9306)) )).
% 13.06/13.32 cnf(matrix-4843, plain, ( ~class_Lattices_Olattice(_u9308) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9308), _u9309), _u9310) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9308), _u9310), _u9309)) )).
% 13.06/13.32 cnf(matrix-4844, plain, ( ~class_Lattices_Osemilattice__inf(_u9311) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9311), _u9312), _u9313) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9311), _u9313), _u9312)) )).
% 13.06/13.32 cnf(matrix-4845, plain, ( ~class_Lattices_Osemilattice__inf(_u9314) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9314), _u9315), _u9315) = _u9315) )).
% 13.06/13.32 cnf(matrix-4846, plain, ( ~class_Lattices_Osemilattice__inf(_u9316) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9316), _u9317), _u9317) = _u9317) )).
% 13.06/13.32 cnf(matrix-4847, plain, ( ~class_Lattices_Olattice(_u9318) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9318), _u9319), _u9319) = _u9319) )).
% 13.06/13.32 cnf(matrix-4848, plain, ( ~c_Nat__Transfer_Onat__set(_u9320) | ~c_Nat__Transfer_Onat__set(_u9321) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u9320), _u9321)) )).
% 13.06/13.32 cnf(matrix-4849, plain, ( ~class_Lattices_Olattice(_u9322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9322), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9322), _u9323), _u9324)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9322), _u9323), _u9325))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9322), _u9323), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9322), _u9324), _u9325)))) )).
% 13.06/13.32 cnf(matrix-4850, plain, ( ~class_Lattices_Olattice(_u9326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9326), _u9327), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9326), _u9328), _u9329))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9326), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9326), _u9327), _u9328)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9326), _u9327), _u9329)))) )).
% 13.06/13.32 cnf(matrix-4851, plain, ( ~class_Lattices_Oboolean__algebra(_u9330) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9330), hAPP(c_Groups_Ouminus__class_Ouminus(_u9330), _u9331)), _u9331) = c_Orderings_Obot__class_Obot(_u9330)) )).
% 13.06/13.32 cnf(matrix-4852, plain, ( ~class_Lattices_Oboolean__algebra(_u9332) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9332), _u9333), hAPP(c_Groups_Ouminus__class_Ouminus(_u9332), _u9333)) = c_Orderings_Obot__class_Obot(_u9332)) )).
% 13.06/13.32 cnf(matrix-4853, plain, ( ~class_Lattices_Oboolean__algebra(_u9334) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9334), _u9335), _u9336) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9334), _u9335), hAPP(c_Groups_Ouminus__class_Ouminus(_u9334), _u9336))) )).
% 13.06/13.32 cnf(matrix-4854, plain, ( ~class_Lattices_Oboolean__algebra(_u9337) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9337), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9337), _u9338), _u9339)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9337), hAPP(c_Groups_Ouminus__class_Ouminus(_u9337), _u9338)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9337), _u9339))) )).
% 13.06/13.32 cnf(matrix-4855, plain, ( ~class_Lattices_Oboolean__algebra(_u9340) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9340), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9340), _u9341), _u9342)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9340), hAPP(c_Groups_Ouminus__class_Ouminus(_u9340), _u9341)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9340), _u9342))) )).
% 13.06/13.32 cnf(matrix-4856, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9343), _u9344), _u9345)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9343, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9343), _u9344), _u9346)), _u9345) = hAPP(hAPP(c_Set_Oinsert(_u9343), _u9344), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9343, tc_HOL_Obool)), _u9346), _u9345))) )).
% 13.06/13.32 cnf(matrix-4857, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9347), _u9348), _u9349)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9347, tc_HOL_Obool)), _u9349), hAPP(hAPP(c_Set_Oinsert(_u9347), _u9348), _u9350)) = hAPP(hAPP(c_Set_Oinsert(_u9347), _u9348), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9347, tc_HOL_Obool)), _u9349), _u9350))) )).
% 13.06/13.32 cnf(matrix-4858, plain, ( hBOOL(hAPP(hAPP(c_member(_u9351), _u9352), _u9353)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9351, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9351), _u9352), _u9354)), _u9353) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9351, tc_HOL_Obool)), _u9354), _u9353)) )).
% 13.06/13.32 cnf(matrix-4859, plain, ( hBOOL(hAPP(hAPP(c_member(_u9355), _u9356), _u9357)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9355, tc_HOL_Obool)), _u9357), hAPP(hAPP(c_Set_Oinsert(_u9355), _u9356), _u9358)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9355, tc_HOL_Obool)), _u9357), _u9358)) )).
% 13.06/13.32 cnf(matrix-4860, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9363), _u9365), _u9367)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9363, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9363), _u9365), _u9369)), _u9367) = hAPP(hAPP(c_Set_Oinsert(_u9363), _u9365), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9363, tc_HOL_Obool)), _u9369), _u9367))) )).
% 13.06/13.32 cnf(matrix-4861, plain, ( hBOOL(hAPP(hAPP(c_member(_u9364), _u9366), _u9368)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9364, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9364), _u9366), _u9370)), _u9368) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9364, tc_HOL_Obool)), _u9370), _u9368)) )).
% 13.06/13.32 cnf(matrix-4862, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9375), _u9377), _u9379)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9375, tc_HOL_Obool)), _u9379), hAPP(hAPP(c_Set_Oinsert(_u9375), _u9377), _u9381)) = hAPP(hAPP(c_Set_Oinsert(_u9375), _u9377), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9375, tc_HOL_Obool)), _u9379), _u9381))) )).
% 13.06/13.32 cnf(matrix-4863, plain, ( hBOOL(hAPP(hAPP(c_member(_u9376), _u9378), _u9380)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9376, tc_HOL_Obool)), _u9380), hAPP(hAPP(c_Set_Oinsert(_u9376), _u9378), _u9382)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9376, tc_HOL_Obool)), _u9380), _u9382)) )).
% 13.06/13.32 cnf(matrix-4864, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9383, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9384, _u9383, _u9385), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9384, tc_HOL_Obool)), _u9386), _u9387))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9383, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9384, _u9383, _u9385), _u9386)), hAPP(c_Set_Oimage(_u9384, _u9383, _u9385), _u9387)))) )).
% 13.06/13.32 cnf(matrix-4865, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9388, tc_HOL_Obool)), _u9389), _u9390) != c_Orderings_Obot__class_Obot(tc_fun(_u9388, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9388, tc_HOL_Obool)), _u9389), _u9390) = _u9389) )).
% 13.06/13.32 cnf(matrix-4866, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9391, tc_HOL_Obool)), _u9392), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9391, tc_HOL_Obool)), _u9393), _u9392)) = c_Orderings_Obot__class_Obot(tc_fun(_u9391, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4867, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9398, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9398, tc_HOL_Obool)), _u9400), _u9402)), _u9404) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9398, tc_HOL_Obool)), _u9400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9398, tc_HOL_Obool)), _u9402), _u9404))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9398, tc_HOL_Obool)), _u9404), _u9400)) )).
% 13.06/13.32 cnf(matrix-4868, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9399, tc_HOL_Obool)), _u9405), _u9401)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9399, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9399, tc_HOL_Obool)), _u9401), _u9403)), _u9405) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9399, tc_HOL_Obool)), _u9401), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9399, tc_HOL_Obool)), _u9403), _u9405))) )).
% 13.06/13.32 cnf(matrix-4869, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9406, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9406, tc_HOL_Obool)), _u9407), _u9408)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9406, tc_HOL_Obool)), _u9407), _u9408)) = _u9407) )).
% 13.06/13.32 cnf(matrix-4870, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9409, tc_HOL_Obool)), _u9410), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9409, tc_HOL_Obool)), _u9411), _u9412)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9409, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9409, tc_HOL_Obool)), _u9410), _u9411)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9409, tc_HOL_Obool)), _u9410), _u9412))) )).
% 13.06/13.32 cnf(matrix-4871, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9413, tc_HOL_Obool)), _u9414), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9413, tc_HOL_Obool)), _u9415), _u9416)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9413, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9413, tc_HOL_Obool)), _u9414), _u9415)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9413, tc_HOL_Obool)), _u9414), _u9416))) )).
% 13.06/13.32 cnf(matrix-4872, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u9417), _u9418) = 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)), _u9417)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9418)))) )).
% 13.06/13.32 cnf(matrix-4873, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9419, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9419, tc_HOL_Obool)), _u9420)), _u9420) = c_Orderings_Obot__class_Obot(tc_fun(_u9419, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4874, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9421, tc_HOL_Obool)), _u9422), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9421, tc_HOL_Obool)), _u9422)) = c_Orderings_Obot__class_Obot(tc_fun(_u9421, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4875, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9423, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9424, _u9423, _u9425), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9424, tc_HOL_Obool)), _u9426), _u9427))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9423, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9424, _u9423, _u9425), _u9426)), hAPP(c_Relation_OImage(_u9424, _u9423, _u9425), _u9427)))) )).
% 13.06/13.32 cnf(matrix-4876, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9428, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9428, tc_HOL_Obool)), _u9429), _u9430)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9428, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9428, tc_HOL_Obool)), _u9429)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9428, tc_HOL_Obool)), _u9430))) )).
% 13.06/13.32 cnf(matrix-4877, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9431, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9431, tc_HOL_Obool)), _u9432), _u9433)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9431, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9431, tc_HOL_Obool)), _u9432)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9431, tc_HOL_Obool)), _u9433))) )).
% 13.06/13.32 cnf(matrix-4878, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9434, tc_HOL_Obool)), _u9435), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9434, tc_HOL_Obool)), _u9436)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9434, tc_HOL_Obool)), _u9435), _u9436)) )).
% 13.06/13.32 cnf(matrix-4879, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9437, tc_HOL_Obool)), _u9438), _u9439) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9437, tc_HOL_Obool)), _u9438), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9437, tc_HOL_Obool)), _u9439))) )).
% 13.06/13.32 cnf(matrix-4880, plain, ( ~c_Nat__Transfer_Onat__set(_u9440) | ~c_Nat__Transfer_Onat__set(_u9441) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u9440), _u9441) = 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), _u9440)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9441)))) )).
% 13.06/13.32 cnf(matrix-4881, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9445, tc_HOL_Obool)), _u9447), _u9449) != c_Orderings_Obot__class_Obot(tc_fun(_u9445, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9445, tc_HOL_Obool)), _u9447), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9445, tc_HOL_Obool)), _u9449))) )).
% 13.06/13.32 cnf(matrix-4882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9446, tc_HOL_Obool)), _u9448), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9446, tc_HOL_Obool)), _u9450))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9446, tc_HOL_Obool)), _u9448), _u9450) = c_Orderings_Obot__class_Obot(tc_fun(_u9446, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4883, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9452), _u9457)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9452), _u9458)) | ( hAPP(hAPP(_u9453, hAPP(_u9456, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9452, tc_HOL_Obool)), _u9457), _u9458))), hAPP(_u9456, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9452, tc_HOL_Obool)), _u9457), _u9458))) = hAPP(hAPP(_u9453, hAPP(_u9456, _u9457)), hAPP(_u9456, _u9458))) | ~c_Finite__Set_Ofolding__image__simple(_u9451, _u9452, _u9453, _u9454, _u9455, _u9456) )).
% 13.06/13.32 cnf(matrix-4884, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9459), hAPP(hAPP(c_Set_Oinsert(_u9459), _u9460), c_Orderings_Obot__class_Obot(tc_fun(_u9459, tc_HOL_Obool)))), _u9461) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9459, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9459, _u9459, _u9461), hAPP(hAPP(c_Set_Oinsert(_u9459), _u9460), c_Orderings_Obot__class_Obot(tc_fun(_u9459, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9459, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4885, plain, ( ~c_Finite__Set_Ofolding__one(_u9462, _u9463, _u9464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9462), _u9465)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9462), _u9466)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9462, tc_HOL_Obool)), _u9465), _u9466) = c_Orderings_Obot__class_Obot(tc_fun(_u9462, tc_HOL_Obool))) | ( hAPP(hAPP(_u9463, hAPP(_u9464, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9462, tc_HOL_Obool)), _u9465), _u9466))), hAPP(_u9464, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9462, tc_HOL_Obool)), _u9465), _u9466))) = hAPP(hAPP(_u9463, hAPP(_u9464, _u9465)), hAPP(_u9464, _u9466))) )).
% 13.06/13.32 cnf(matrix-4886, plain, ( ~c_Finite__Set_Ofolding__one(_u9467, _u9468, _u9469) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9467), _u9470)) | ( _u9470 = c_Orderings_Obot__class_Obot(tc_fun(_u9467, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9467), _u9471)) | ( _u9471 = c_Orderings_Obot__class_Obot(tc_fun(_u9467, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9467, tc_HOL_Obool)), _u9470), _u9471) != c_Orderings_Obot__class_Obot(tc_fun(_u9467, tc_HOL_Obool))) | ( hAPP(_u9469, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9467, tc_HOL_Obool)), _u9470), _u9471)) = hAPP(hAPP(_u9468, hAPP(_u9469, _u9470)), hAPP(_u9469, _u9471))) )).
% 13.06/13.32 cnf(matrix-4887, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9473), _u9478)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9473), _u9479)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9473, tc_HOL_Obool)), _u9478), _u9479) != c_Orderings_Obot__class_Obot(tc_fun(_u9473, tc_HOL_Obool))) | ( hAPP(_u9477, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9473, tc_HOL_Obool)), _u9478), _u9479)) = hAPP(hAPP(_u9474, hAPP(_u9477, _u9478)), hAPP(_u9477, _u9479))) | ~c_Finite__Set_Ofolding__image__simple(_u9472, _u9473, _u9474, _u9475, _u9476, _u9477) )).
% 13.06/13.32 cnf(matrix-4888, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9480), _u9481), _u9482)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9480, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9480, _u9480, _u9483), hAPP(hAPP(c_Set_Oinsert(_u9480), _u9481), c_Orderings_Obot__class_Obot(tc_fun(_u9480, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9480), _u9482), _u9483))) )).
% 13.06/13.32 cnf(matrix-4889, plain, ( ~c_Equiv__Relations_Oequiv(_u9484, _u9485, _u9486) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9487), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9488), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9489), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9490), _u9488)) | ( _u9487 != _u9488) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9484, _u9484)), hAPP(hAPP(c_Product__Type_OPair(_u9484, _u9484), _u9489), _u9490)), _u9486)) )).
% 13.06/13.32 cnf(matrix-4890, plain, ( ~c_Equiv__Relations_Oequiv(_u9484, _u9485, _u9486) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9487), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9484, tc_HOL_Obool)), _u9488), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9484), _u9485), _u9486))) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9489), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(_u9484), _u9490), _u9488)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9484, _u9484)), hAPP(hAPP(c_Product__Type_OPair(_u9484, _u9484), _u9489), _u9490)), _u9486)) | ( _u9487 = _u9488) )).
% 13.06/13.32 cnf(matrix-4891, plain, ( ~c_Equiv__Relations_Oequiv(_u9491, _u9492, _u9493) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9491, tc_HOL_Obool)), _u9494), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9491), _u9492), _u9493))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9491, tc_HOL_Obool)), _u9495), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9491), _u9492), _u9493))) | ~hBOOL(hAPP(hAPP(c_member(_u9491), _u9496), _u9494)) | ~hBOOL(hAPP(hAPP(c_member(_u9491), _u9497), _u9495)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9491, _u9491)), hAPP(hAPP(c_Product__Type_OPair(_u9491, _u9491), _u9496), _u9497)), _u9493)) | ( _u9494 = _u9495) )).
% 13.06/13.32 cnf(matrix-4892, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9498), _u9499)) | ( 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)))), _u9499, _u9498) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4893, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9502), c_SetInterval_Oord_OlessThan(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)))), _u9504))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9502), _u9504)) )).
% 13.06/13.32 cnf(matrix-4894, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9502), c_SetInterval_Oord_OlessThan(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)))), _u9504))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9504), _u9502)) )).
% 13.06/13.32 cnf(matrix-4895, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9503), _u9505)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9505), _u9503)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9503), c_SetInterval_Oord_OlessThan(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)))), _u9505))) )).
% 13.06/13.32 cnf(matrix-4896, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9508), c_SetInterval_Oord_OgreaterThan(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)))), _u9510))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9510), _u9508)) )).
% 13.06/13.32 cnf(matrix-4897, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9508), c_SetInterval_Oord_OgreaterThan(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)))), _u9510))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9508), _u9510)) )).
% 13.06/13.32 cnf(matrix-4898, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9511), _u9509)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9509), _u9511)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9509), c_SetInterval_Oord_OgreaterThan(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)))), _u9511))) )).
% 13.06/13.32 cnf(matrix-4899, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9514), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9516))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9514), _u9516)) )).
% 13.06/13.32 cnf(matrix-4900, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9515), _u9517)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9515), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9517))) )).
% 13.06/13.32 cnf(matrix-4901, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-4902, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9524, tc_fun(_u9526, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9524, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), _u9524), c_COMBC(_u9526, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_prod(_u9524, _u9526)), tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), _u9524), hAPP(c_COMBB(tc_prod(_u9524, _u9526), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool), _u9526), c_member(tc_prod(_u9524, _u9526)))), c_Product__Type_OPair(_u9524, _u9526)))), _u9528)), hAPP(hAPP(c_COMBC(_u9524, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_fun(_u9526, tc_HOL_Obool)), _u9524), c_COMBC(_u9526, tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9526, tc_prod(_u9524, _u9526)), tc_fun(_u9526, tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool)), _u9524), hAPP(c_COMBB(tc_prod(_u9524, _u9526), tc_fun(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool), tc_HOL_Obool), _u9526), c_member(tc_prod(_u9524, _u9526)))), c_Product__Type_OPair(_u9524, _u9526)))), _u9530)), _u9532), _u9534)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9524, _u9526)), hAPP(hAPP(c_Product__Type_OPair(_u9524, _u9526), _u9532), _u9534)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9524, _u9526), tc_HOL_Obool)), _u9528), _u9530))) )).
% 13.06/13.32 cnf(matrix-4903, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9525, _u9527)), hAPP(hAPP(c_Product__Type_OPair(_u9525, _u9527), _u9533), _u9535)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool)), _u9529), _u9531))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9525, tc_fun(_u9527, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9525, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), _u9525), c_COMBC(_u9527, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_prod(_u9525, _u9527)), tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), _u9525), hAPP(c_COMBB(tc_prod(_u9525, _u9527), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool), _u9527), c_member(tc_prod(_u9525, _u9527)))), c_Product__Type_OPair(_u9525, _u9527)))), _u9529)), hAPP(hAPP(c_COMBC(_u9525, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_fun(_u9527, tc_HOL_Obool)), _u9525), c_COMBC(_u9527, tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9527, tc_prod(_u9525, _u9527)), tc_fun(_u9527, tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool)), _u9525), hAPP(c_COMBB(tc_prod(_u9525, _u9527), tc_fun(tc_fun(tc_prod(_u9525, _u9527), tc_HOL_Obool), tc_HOL_Obool), _u9527), c_member(tc_prod(_u9525, _u9527)))), c_Product__Type_OPair(_u9525, _u9527)))), _u9531)), _u9533), _u9535)) )).
% 13.06/13.32 cnf(matrix-4904, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9541), _u9543), c_SetInterval_Oord_OgreaterThanLessThan(_u9541, _u9545, _u9547, _u9549))) | hBOOL(hAPP(hAPP(_u9545, _u9547), _u9543)) )).
% 13.06/13.32 cnf(matrix-4905, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9541), _u9543), c_SetInterval_Oord_OgreaterThanLessThan(_u9541, _u9545, _u9547, _u9549))) | hBOOL(hAPP(hAPP(_u9545, _u9543), _u9549)) )).
% 13.06/13.32 cnf(matrix-4906, plain, ( ~hBOOL(hAPP(hAPP(_u9546, _u9548), _u9544)) | ~hBOOL(hAPP(hAPP(_u9546, _u9544), _u9550)) | hBOOL(hAPP(hAPP(c_member(_u9542), _u9544), c_SetInterval_Oord_OgreaterThanLessThan(_u9542, _u9546, _u9548, _u9550))) )).
% 13.06/13.32 cnf(matrix-4907, plain, ( hBOOL(hAPP(hAPP(_u9559, _u9561), _u9557)) | ~hBOOL(hAPP(hAPP(c_member(_u9555), _u9557), c_SetInterval_Oord_OgreaterThan(_u9555, _u9559, _u9561))) )).
% 13.06/13.32 cnf(matrix-4908, plain, ( ~hBOOL(hAPP(hAPP(_u9560, _u9562), _u9558)) | hBOOL(hAPP(hAPP(c_member(_u9556), _u9558), c_SetInterval_Oord_OgreaterThan(_u9556, _u9560, _u9562))) )).
% 13.06/13.32 cnf(matrix-4909, plain, ( hBOOL(hAPP(hAPP(_u9571, _u9569), _u9573)) | ~hBOOL(hAPP(hAPP(c_member(_u9567), _u9569), c_SetInterval_Oord_OlessThan(_u9567, _u9571, _u9573))) )).
% 13.06/13.32 cnf(matrix-4910, plain, ( ~hBOOL(hAPP(hAPP(_u9572, _u9570), _u9574)) | hBOOL(hAPP(hAPP(c_member(_u9568), _u9570), c_SetInterval_Oord_OlessThan(_u9568, _u9572, _u9574))) )).
% 13.06/13.32 cnf(matrix-4911, plain, ( hBOOL(hAPP(hAPP(_u9583, _u9581), _u9585)) | ~hBOOL(hAPP(hAPP(c_member(_u9579), _u9581), c_SetInterval_Oord_OatMost(_u9579, _u9583, _u9585))) )).
% 13.06/13.32 cnf(matrix-4912, plain, ( ~hBOOL(hAPP(hAPP(_u9584, _u9582), _u9586)) | hBOOL(hAPP(hAPP(c_member(_u9580), _u9582), c_SetInterval_Oord_OatMost(_u9580, _u9584, _u9586))) )).
% 13.06/13.32 cnf(matrix-4913, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9589), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9591))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9591), _u9589)) )).
% 13.06/13.32 cnf(matrix-4914, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9592), _u9590)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9590), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9592))) )).
% 13.06/13.32 cnf(matrix-4915, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9594, tc_HOL_Obool)), _u9595), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9594), _u9596), _u9597))) | ( _u9595 = hAPP(c_Relation_OImage(_u9594, _u9594, _u9597), hAPP(hAPP(c_Set_Oinsert(_u9594), skolem139(_u9597, _u9596, _u9595, _u9594)), c_Orderings_Obot__class_Obot(tc_fun(_u9594, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-4916, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9594, tc_HOL_Obool)), _u9595), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9594), _u9596), _u9597))) | hBOOL(hAPP(hAPP(c_member(_u9594), skolem139(_u9597, _u9596, _u9595, _u9594)), _u9596)) )).
% 13.06/13.32 cnf(matrix-4917, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9604), _u9606), c_SetInterval_Oord_OgreaterThanAtMost(_u9604, _u9608, _u9610, _u9612, _u9614))) | hBOOL(hAPP(hAPP(_u9610, _u9612), _u9606)) )).
% 13.06/13.32 cnf(matrix-4918, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9604), _u9606), c_SetInterval_Oord_OgreaterThanAtMost(_u9604, _u9608, _u9610, _u9612, _u9614))) | hBOOL(hAPP(hAPP(_u9608, _u9606), _u9614)) )).
% 13.06/13.32 cnf(matrix-4919, plain, ( ~hBOOL(hAPP(hAPP(_u9611, _u9613), _u9607)) | ~hBOOL(hAPP(hAPP(_u9609, _u9607), _u9615)) | hBOOL(hAPP(hAPP(c_member(_u9605), _u9607), c_SetInterval_Oord_OgreaterThanAtMost(_u9605, _u9609, _u9611, _u9613, _u9615))) )).
% 13.06/13.32 cnf(matrix-4920, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9622), _u9624), c_SetInterval_Oord_OatLeastLessThan(_u9622, _u9626, _u9628, _u9630, _u9632))) | hBOOL(hAPP(hAPP(_u9626, _u9630), _u9624)) )).
% 13.06/13.32 cnf(matrix-4921, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9622), _u9624), c_SetInterval_Oord_OatLeastLessThan(_u9622, _u9626, _u9628, _u9630, _u9632))) | hBOOL(hAPP(hAPP(_u9628, _u9624), _u9632)) )).
% 13.06/13.32 cnf(matrix-4922, plain, ( ~hBOOL(hAPP(hAPP(_u9627, _u9631), _u9625)) | ~hBOOL(hAPP(hAPP(_u9629, _u9625), _u9633)) | hBOOL(hAPP(hAPP(c_member(_u9623), _u9625), c_SetInterval_Oord_OatLeastLessThan(_u9623, _u9627, _u9629, _u9631, _u9633))) )).
% 13.06/13.32 cnf(matrix-4923, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9634, tc_fun(_u9635, tc_HOL_Obool))), _u9636), _u9637), _u9638), _u9639)) | hBOOL(hAPP(hAPP(_u9636, _u9638), _u9639)) )).
% 13.06/13.32 cnf(matrix-4924, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9634, tc_fun(_u9635, tc_HOL_Obool))), _u9636), _u9637), _u9638), _u9639)) | hBOOL(hAPP(hAPP(_u9637, _u9638), _u9639)) )).
% 13.06/13.32 cnf(matrix-4925, plain, ( ~hBOOL(hAPP(hAPP(_u9640, _u9641), _u9642)) | ~hBOOL(hAPP(hAPP(_u9643, _u9641), _u9642)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9644, tc_fun(_u9645, tc_HOL_Obool))), _u9640), _u9643), _u9641), _u9642)) )).
% 13.06/13.32 cnf(matrix-4926, plain, ( hBOOL(hAPP(hAPP(_u9649, _u9650), _u9651)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9646, tc_fun(_u9647, tc_HOL_Obool))), _u9648), _u9649), _u9650), _u9651)) )).
% 13.06/13.32 cnf(matrix-4927, plain, ( hBOOL(hAPP(hAPP(_u9654, _u9656), _u9657)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9652, tc_fun(_u9653, tc_HOL_Obool))), _u9654), _u9655), _u9656), _u9657)) )).
% 13.06/13.32 cnf(matrix-4928, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u9660, _u9662)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9660), _u9662)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9662), _u9660)) )).
% 13.06/13.32 cnf(matrix-4929, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u9661, _u9663)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9661), _u9663)) )).
% 13.06/13.32 cnf(matrix-4930, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u9661, _u9663)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9663), _u9661)) )).
% 13.06/13.32 cnf(matrix-4931, 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)))), _u9666, _u9668)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9666), _u9668)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9668), _u9666)) )).
% 13.06/13.32 cnf(matrix-4932, 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)))), _u9667, _u9669)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9667), _u9669)) )).
% 13.06/13.32 cnf(matrix-4933, 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)))), _u9667, _u9669)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9669), _u9667)) )).
% 13.06/13.32 cnf(matrix-4934, 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)))), _u9672, _u9674) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9672), _u9674)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9674), _u9672)) )).
% 13.06/13.32 cnf(matrix-4935, 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)))), _u9673, _u9675) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9673), _u9675)) )).
% 13.06/13.32 cnf(matrix-4936, 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)))), _u9673, _u9675) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9675), _u9673)) )).
% 13.06/13.32 cnf(matrix-4937, 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)))), _u9678, _u9680) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9678), _u9680)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9680), _u9678)) )).
% 13.06/13.32 cnf(matrix-4938, 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)))), _u9679, _u9681) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9679), _u9681)) )).
% 13.06/13.32 cnf(matrix-4939, 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)))), _u9679, _u9681) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9681), _u9679)) )).
% 13.06/13.32 cnf(matrix-4940, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9682), _u9683)) | ( 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)))), _u9683, _u9682) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4941, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9684), _u9685)) | ( 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)))), _u9685, _u9684) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4942, plain, ( hBOOL(hAPP(hAPP(_u9694, _u9696), _u9692)) | ~hBOOL(hAPP(hAPP(c_member(_u9690), _u9692), c_SetInterval_Oord_OatLeast(_u9690, _u9694, _u9696))) )).
% 13.06/13.32 cnf(matrix-4943, plain, ( ~hBOOL(hAPP(hAPP(_u9695, _u9697), _u9693)) | hBOOL(hAPP(hAPP(c_member(_u9691), _u9693), c_SetInterval_Oord_OatLeast(_u9691, _u9695, _u9697))) )).
% 13.06/13.32 cnf(matrix-4944, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9703), _u9705), c_SetInterval_Oord_OatLeastAtMost(_u9703, _u9707, _u9709, _u9711))) | hBOOL(hAPP(hAPP(_u9707, _u9709), _u9705)) )).
% 13.06/13.32 cnf(matrix-4945, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9703), _u9705), c_SetInterval_Oord_OatLeastAtMost(_u9703, _u9707, _u9709, _u9711))) | hBOOL(hAPP(hAPP(_u9707, _u9705), _u9711)) )).
% 13.06/13.32 cnf(matrix-4946, plain, ( ~hBOOL(hAPP(hAPP(_u9708, _u9710), _u9706)) | ~hBOOL(hAPP(hAPP(_u9708, _u9706), _u9712)) | hBOOL(hAPP(hAPP(c_member(_u9704), _u9706), c_SetInterval_Oord_OatLeastAtMost(_u9704, _u9708, _u9710, _u9712))) )).
% 13.06/13.32 cnf(matrix-4947, plain, ( ~class_Lattices_Olattice(_u9713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), _u9714)) | ~hBOOL(hAPP(hAPP(c_member(_u9713), _u9715), _u9714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9713, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9713, _u9714) = _u9715) )).
% 13.06/13.32 cnf(matrix-4948, plain, ( ~class_Lattices_Olattice(_u9713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9713), _u9714)) | ~hBOOL(hAPP(hAPP(c_member(_u9713), _u9715), _u9714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9713, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9713, _u9714) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9713), _u9715), c_Big__Operators_Olattice__class_OInf__fin(_u9713, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9713, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_Set_Oinsert(_u9713), _u9715), c_Orderings_Obot__class_Obot(tc_fun(_u9713, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4949, plain, ( ~class_Lattices_Olattice(_u9716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9716), _u9717)) | ~hBOOL(hAPP(hAPP(c_member(_u9716), _u9718), _u9717)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9716, tc_HOL_Obool)), _u9717), hAPP(hAPP(c_Set_Oinsert(_u9716), _u9718), c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9716, _u9717) = _u9718) )).
% 13.06/13.32 cnf(matrix-4950, plain, ( ~class_Lattices_Olattice(_u9716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9716), _u9717)) | ~hBOOL(hAPP(hAPP(c_member(_u9716), _u9718), _u9717)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9716, tc_HOL_Obool)), _u9717), hAPP(hAPP(c_Set_Oinsert(_u9716), _u9718), c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9716, _u9717) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9716), _u9718), c_Big__Operators_Olattice__class_OSup__fin(_u9716, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9716, tc_HOL_Obool)), _u9717), hAPP(hAPP(c_Set_Oinsert(_u9716), _u9718), c_Orderings_Obot__class_Obot(tc_fun(_u9716, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4951, plain, ( ~class_Orderings_Olinorder(_u9719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9719), _u9720)) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9721), _u9720)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9719, tc_HOL_Obool)), _u9720), hAPP(hAPP(c_Set_Oinsert(_u9719), _u9721), c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9719, _u9720) = _u9721) )).
% 13.06/13.32 cnf(matrix-4952, plain, ( ~class_Orderings_Olinorder(_u9719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9719), _u9720)) | ~hBOOL(hAPP(hAPP(c_member(_u9719), _u9721), _u9720)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9719, tc_HOL_Obool)), _u9720), hAPP(hAPP(c_Set_Oinsert(_u9719), _u9721), c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9719, _u9720) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9719), _u9721), c_Big__Operators_Olinorder__class_OMax(_u9719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9719, tc_HOL_Obool)), _u9720), hAPP(hAPP(c_Set_Oinsert(_u9719), _u9721), c_Orderings_Obot__class_Obot(tc_fun(_u9719, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-4953, plain, ( ~class_Lattices_Olattice(_u9722) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9722), _u9723)) | ( _u9723 = c_Orderings_Obot__class_Obot(tc_fun(_u9722, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9722), c_Big__Operators_Olattice__class_OInf__fin(_u9722, _u9723)), c_Big__Operators_Olattice__class_OSup__fin(_u9722, _u9723))) )).
% 13.06/13.32 cnf(matrix-4954, plain, ( ~class_Orderings_Olinorder(_u9724) | ( c_Big__Operators_Olinorder__class_OMax(_u9724, hAPP(hAPP(c_Set_Oinsert(_u9724), _u9725), c_Orderings_Obot__class_Obot(tc_fun(_u9724, tc_HOL_Obool)))) = _u9725) )).
% 13.06/13.32 cnf(matrix-4955, plain, ( ~class_Lattices_Olattice(_u9726) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9726, hAPP(hAPP(c_Set_Oinsert(_u9726), _u9727), c_Orderings_Obot__class_Obot(tc_fun(_u9726, tc_HOL_Obool)))) = _u9727) )).
% 13.06/13.32 cnf(matrix-4956, plain, ( ~class_Lattices_Olattice(_u9728) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9728, hAPP(hAPP(c_Set_Oinsert(_u9728), _u9729), c_Orderings_Obot__class_Obot(tc_fun(_u9728, tc_HOL_Obool)))) = _u9729) )).
% 13.06/13.32 cnf(matrix-4957, plain, ( ~class_Orderings_Olinorder(_u9730) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9730), _u9731)) | ~hBOOL(hAPP(hAPP(c_member(_u9730), _u9732), _u9731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9730), _u9732), c_Big__Operators_Olinorder__class_OMax(_u9730, _u9731))) )).
% 13.06/13.32 cnf(matrix-4958, plain, ( ~class_Orderings_Olinorder(_u9733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9733), _u9734)) | ( _u9734 = c_Orderings_Obot__class_Obot(tc_fun(_u9733, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9733), c_Big__Operators_Olinorder__class_OMax(_u9733, _u9734)), _u9734)) )).
% 13.06/13.32 cnf(matrix-4959, plain, ( ~class_Lattices_Olattice(_u9735) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9735), _u9736)) | ~hBOOL(hAPP(hAPP(c_member(_u9735), _u9737), _u9736)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9735), _u9737), c_Big__Operators_Olattice__class_OInf__fin(_u9735, _u9736)) = _u9737) )).
% 13.06/13.32 cnf(matrix-4960, plain, ( ~class_Lattices_Olattice(_u9738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9738), _u9739)) | ~hBOOL(hAPP(hAPP(c_member(_u9738), _u9740), _u9739)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9738), _u9740), c_Big__Operators_Olattice__class_OSup__fin(_u9738, _u9739)) = c_Big__Operators_Olattice__class_OSup__fin(_u9738, _u9739)) )).
% 13.06/13.32 cnf(matrix-4961, plain, ( ~class_Lattices_Olattice(_u9741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9741), _u9742)) | ~hBOOL(hAPP(hAPP(c_member(_u9741), _u9743), _u9742)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9741), _u9743), c_Big__Operators_Olattice__class_OInf__fin(_u9741, _u9742)) = c_Big__Operators_Olattice__class_OInf__fin(_u9741, _u9742)) )).
% 13.06/13.32 cnf(matrix-4962, plain, ( ~class_Lattices_Olattice(_u9744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9744), _u9745)) | ~hBOOL(hAPP(hAPP(c_member(_u9744), _u9746), _u9745)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9744), _u9746), c_Big__Operators_Olattice__class_OSup__fin(_u9744, _u9745)) = _u9746) )).
% 13.06/13.32 cnf(matrix-4963, plain, ( ~class_Orderings_Olinorder(_u9747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9747), _u9748)) | ~hBOOL(hAPP(hAPP(c_member(_u9747), _u9749), _u9748)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9747), _u9749), c_Big__Operators_Olinorder__class_OMax(_u9747, _u9748)) = c_Big__Operators_Olinorder__class_OMax(_u9747, _u9748)) )).
% 13.06/13.32 cnf(matrix-4964, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9752, _u9754)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9752), _u9754)) )).
% 13.06/13.32 cnf(matrix-4965, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9753), _u9755)) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9753, _u9755)) )).
% 13.06/13.32 cnf(matrix-4966, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9758, _u9760) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9758), _u9760)) )).
% 13.06/13.32 cnf(matrix-4967, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9759), _u9761)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9759, _u9761) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4968, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9762), _u9763)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9763), _u9762)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9763, _u9762) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-4969, plain, ( ( _u9764 != _u9765) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9764, _u9765) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9764), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4970, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9766, _u9766) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9766), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4971, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9770, _u9772) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9774), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9770 = _u9772) )).
% 13.06/13.32 cnf(matrix-4972, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9770, _u9772) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9774), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u9772 = _u9774) )).
% 13.06/13.32 cnf(matrix-4973, plain, ( ( _u9771 != _u9773) | ( _u9773 != _u9775) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9771, _u9773) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u9775), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-4974, plain, ( ~class_Orderings_Olinorder(_u9776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9776, tc_HOL_Obool)), _u9777), _u9778)) | ( _u9777 = c_Orderings_Obot__class_Obot(tc_fun(_u9776, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9776), c_Big__Operators_Olinorder__class_OMax(_u9776, _u9777)), c_Big__Operators_Olinorder__class_OMax(_u9776, _u9778))) )).
% 13.06/13.32 cnf(matrix-4975, plain, ( ~class_Lattices_Olattice(_u9779) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9779), _u9780)) | ( _u9780 = c_Orderings_Obot__class_Obot(tc_fun(_u9779, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9779, hAPP(hAPP(c_Set_Oinsert(_u9779), _u9781), _u9780)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9779), _u9781), c_Big__Operators_Olattice__class_OSup__fin(_u9779, _u9780))) )).
% 13.06/13.32 cnf(matrix-4976, plain, ( ~class_Lattices_Olattice(_u9782) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9782), _u9783)) | ( _u9783 = c_Orderings_Obot__class_Obot(tc_fun(_u9782, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9782, hAPP(hAPP(c_Set_Oinsert(_u9782), _u9784), _u9783)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9782), _u9784), c_Big__Operators_Olattice__class_OInf__fin(_u9782, _u9783))) )).
% 13.06/13.32 cnf(matrix-4977, plain, ( ~class_Orderings_Olinorder(_u9785) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9785), _u9786)) | ( _u9786 = c_Orderings_Obot__class_Obot(tc_fun(_u9785, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9785, hAPP(hAPP(c_Set_Oinsert(_u9785), _u9787), _u9786)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9785), _u9787), c_Big__Operators_Olinorder__class_OMax(_u9785, _u9786))) )).
% 13.06/13.32 cnf(matrix-4978, plain, ( ~class_Lattices_Olattice(_u9788) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9788), _u9789)) | ( _u9790 = c_Orderings_Obot__class_Obot(tc_fun(_u9788, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9788, tc_HOL_Obool)), _u9790), _u9789)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9788), c_Big__Operators_Olattice__class_OSup__fin(_u9788, _u9790)), c_Big__Operators_Olattice__class_OSup__fin(_u9788, _u9789)) = c_Big__Operators_Olattice__class_OSup__fin(_u9788, _u9789)) )).
% 13.06/13.32 cnf(matrix-4979, plain, ( ~class_Lattices_Olattice(_u9791) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9791), _u9792)) | ( _u9793 = c_Orderings_Obot__class_Obot(tc_fun(_u9791, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9791, tc_HOL_Obool)), _u9793), _u9792)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9791), c_Big__Operators_Olattice__class_OInf__fin(_u9791, _u9793)), c_Big__Operators_Olattice__class_OInf__fin(_u9791, _u9792)) = c_Big__Operators_Olattice__class_OInf__fin(_u9791, _u9792)) )).
% 13.06/13.32 cnf(matrix-4980, plain, ( ~class_Lattices_Olattice(_u9794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9794), _u9795)) | ( _u9795 = c_Orderings_Obot__class_Obot(tc_fun(_u9794, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9794), _u9796)) | ( _u9796 = c_Orderings_Obot__class_Obot(tc_fun(_u9794, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9794, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9794, tc_HOL_Obool)), _u9795), _u9796)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9794), c_Big__Operators_Olattice__class_OSup__fin(_u9794, _u9795)), c_Big__Operators_Olattice__class_OSup__fin(_u9794, _u9796))) )).
% 13.06/13.32 cnf(matrix-4981, plain, ( ~class_Orderings_Olinorder(_u9797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9797), _u9798)) | ( _u9799 = c_Orderings_Obot__class_Obot(tc_fun(_u9797, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9797, tc_HOL_Obool)), _u9799), _u9798)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9797), c_Big__Operators_Olinorder__class_OMax(_u9797, _u9799)), c_Big__Operators_Olinorder__class_OMax(_u9797, _u9798)) = c_Big__Operators_Olinorder__class_OMax(_u9797, _u9798)) )).
% 13.06/13.32 cnf(matrix-4982, plain, ( ~class_Lattices_Olattice(_u9800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9800), _u9801)) | ( _u9801 = c_Orderings_Obot__class_Obot(tc_fun(_u9800, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9800), _u9802)) | ( _u9802 = c_Orderings_Obot__class_Obot(tc_fun(_u9800, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9800, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9800, tc_HOL_Obool)), _u9801), _u9802)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9800), c_Big__Operators_Olattice__class_OInf__fin(_u9800, _u9801)), c_Big__Operators_Olattice__class_OInf__fin(_u9800, _u9802))) )).
% 13.06/13.32 cnf(matrix-4983, plain, ( ~class_Orderings_Olinorder(_u9803) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9803), _u9804)) | ( _u9804 = c_Orderings_Obot__class_Obot(tc_fun(_u9803, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9803), _u9805)) | ( _u9805 = c_Orderings_Obot__class_Obot(tc_fun(_u9803, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9803, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9803, tc_HOL_Obool)), _u9804), _u9805)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9803), c_Big__Operators_Olinorder__class_OMax(_u9803, _u9804)), c_Big__Operators_Olinorder__class_OMax(_u9803, _u9805))) )).
% 13.06/13.32 cnf(matrix-4984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810, _u9812)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9814, _u9816))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810), _u9812)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9814), _u9810)) )).
% 13.06/13.32 cnf(matrix-4985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810, _u9812)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9814, _u9816))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9810), _u9812)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9812), _u9816)) )).
% 13.06/13.32 cnf(matrix-4986, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9811, _u9813)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9815, _u9817))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9811), _u9813)) )).
% 13.06/13.32 cnf(matrix-4987, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9811, _u9813)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9815, _u9817))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9815), _u9811)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9813), _u9817)) )).
% 13.06/13.32 cnf(matrix-4988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9822)) )).
% 13.06/13.32 cnf(matrix-4989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9824), _u9828)) )).
% 13.06/13.32 cnf(matrix-4990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9822)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9824), _u9828)) )).
% 13.06/13.32 cnf(matrix-4991, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9822)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9828), _u9824)) )).
% 13.06/13.32 cnf(matrix-4992, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9826)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9824), _u9828)) )).
% 13.06/13.32 cnf(matrix-4993, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9824)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822), _u9826)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9828), _u9824)) )).
% 13.06/13.32 cnf(matrix-4994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9822, _u9824)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826, _u9828))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9826), _u9828)) )).
% 13.06/13.32 cnf(matrix-4995, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823, _u9825)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827, _u9829))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9829)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823), _u9825)) )).
% 13.06/13.32 cnf(matrix-4996, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823, _u9825)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827, _u9829))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9825), _u9829)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823), _u9827)) )).
% 13.06/13.32 cnf(matrix-4997, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9823, _u9825)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827, _u9829))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9827), _u9823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9825), _u9829)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u9829), _u9825)) )).
% 13.06/13.32 cnf(matrix-4998, plain, ( ~class_Lattices_Olattice(_u9830) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9830), _u9831)) | hBOOL(hAPP(hAPP(c_member(_u9830), _u9832), _u9831)) | ( _u9831 = c_Orderings_Obot__class_Obot(tc_fun(_u9830, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9830, hAPP(hAPP(c_Set_Oinsert(_u9830), _u9832), _u9831)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9830), _u9832), c_Big__Operators_Olattice__class_OSup__fin(_u9830, _u9831))) )).
% 13.06/13.32 cnf(matrix-4999, plain, ( ~class_Lattices_Olattice(_u9833) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9833), _u9834)) | hBOOL(hAPP(hAPP(c_member(_u9833), _u9835), _u9834)) | ( _u9834 = c_Orderings_Obot__class_Obot(tc_fun(_u9833, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9833, hAPP(hAPP(c_Set_Oinsert(_u9833), _u9835), _u9834)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9833), _u9835), c_Big__Operators_Olattice__class_OInf__fin(_u9833, _u9834))) )).
% 13.06/13.32 cnf(matrix-5000, plain, ( ~class_Orderings_Olinorder(_u9836) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9836), _u9837)) | hBOOL(hAPP(hAPP(c_member(_u9836), _u9838), _u9837)) | ( _u9837 = c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9836, hAPP(hAPP(c_Set_Oinsert(_u9836), _u9838), _u9837)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9836), _u9838), c_Big__Operators_Olinorder__class_OMax(_u9836, _u9837))) )).
% 13.06/13.32 cnf(matrix-5001, plain, ( ~class_Lattices_Olattice(_u9839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9839), _u9840)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9839, tc_HOL_Obool)), _u9840), hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9839, hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), _u9840)) = _u9841) )).
% 13.06/13.32 cnf(matrix-5002, plain, ( ~class_Lattices_Olattice(_u9839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9839), _u9840)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9839, tc_HOL_Obool)), _u9840), hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9839, hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), _u9840)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9839), _u9841), c_Big__Operators_Olattice__class_OSup__fin(_u9839, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9839, tc_HOL_Obool)), _u9840), hAPP(hAPP(c_Set_Oinsert(_u9839), _u9841), c_Orderings_Obot__class_Obot(tc_fun(_u9839, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5003, plain, ( ~class_Lattices_Olattice(_u9842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9842), _u9843)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9842, tc_HOL_Obool)), _u9843), hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9842, hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), _u9843)) = _u9844) )).
% 13.06/13.32 cnf(matrix-5004, plain, ( ~class_Lattices_Olattice(_u9842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9842), _u9843)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9842, tc_HOL_Obool)), _u9843), hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9842, hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), _u9843)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9842), _u9844), c_Big__Operators_Olattice__class_OInf__fin(_u9842, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9842, tc_HOL_Obool)), _u9843), hAPP(hAPP(c_Set_Oinsert(_u9842), _u9844), c_Orderings_Obot__class_Obot(tc_fun(_u9842, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5005, plain, ( ~class_Lattices_Olattice(_u9845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9845), _u9846)) | ( _u9846 = c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9845), _u9847)) | ( _u9847 = c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9845, tc_HOL_Obool)), _u9846), _u9847) != c_Orderings_Obot__class_Obot(tc_fun(_u9845, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9845, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9845, tc_HOL_Obool)), _u9846), _u9847)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9845), c_Big__Operators_Olattice__class_OSup__fin(_u9845, _u9846)), c_Big__Operators_Olattice__class_OSup__fin(_u9845, _u9847))) )).
% 13.06/13.32 cnf(matrix-5006, plain, ( ~class_Lattices_Olattice(_u9848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9848), _u9849)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9848), _u9850)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9848, tc_HOL_Obool)), _u9849), _u9850) = c_Orderings_Obot__class_Obot(tc_fun(_u9848, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9848), c_Big__Operators_Olattice__class_OSup__fin(_u9848, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9848, tc_HOL_Obool)), _u9849), _u9850))), c_Big__Operators_Olattice__class_OSup__fin(_u9848, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9848, tc_HOL_Obool)), _u9849), _u9850))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9848), c_Big__Operators_Olattice__class_OSup__fin(_u9848, _u9849)), c_Big__Operators_Olattice__class_OSup__fin(_u9848, _u9850))) )).
% 13.06/13.32 cnf(matrix-5007, plain, ( ~class_Orderings_Olinorder(_u9851) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9851), _u9852)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9851, tc_HOL_Obool)), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9851, hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), _u9852)) = _u9853) )).
% 13.06/13.32 cnf(matrix-5008, plain, ( ~class_Orderings_Olinorder(_u9851) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9851), _u9852)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9851, tc_HOL_Obool)), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9851, hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), _u9852)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9851), _u9853), c_Big__Operators_Olinorder__class_OMax(_u9851, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9851, tc_HOL_Obool)), _u9852), hAPP(hAPP(c_Set_Oinsert(_u9851), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9851, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5009, plain, ( ~class_Lattices_Olattice(_u9854) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9854), _u9855)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9854), _u9856)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9854, tc_HOL_Obool)), _u9855), _u9856) = c_Orderings_Obot__class_Obot(tc_fun(_u9854, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9854), c_Big__Operators_Olattice__class_OInf__fin(_u9854, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9854, tc_HOL_Obool)), _u9855), _u9856))), c_Big__Operators_Olattice__class_OInf__fin(_u9854, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9854, tc_HOL_Obool)), _u9855), _u9856))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9854), c_Big__Operators_Olattice__class_OInf__fin(_u9854, _u9855)), c_Big__Operators_Olattice__class_OInf__fin(_u9854, _u9856))) )).
% 13.06/13.32 cnf(matrix-5010, plain, ( ~class_Lattices_Olattice(_u9857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9857), _u9858)) | ( _u9858 = c_Orderings_Obot__class_Obot(tc_fun(_u9857, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9857), _u9859)) | ( _u9859 = c_Orderings_Obot__class_Obot(tc_fun(_u9857, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9857, tc_HOL_Obool)), _u9858), _u9859) != c_Orderings_Obot__class_Obot(tc_fun(_u9857, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9857, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9857, tc_HOL_Obool)), _u9858), _u9859)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9857), c_Big__Operators_Olattice__class_OInf__fin(_u9857, _u9858)), c_Big__Operators_Olattice__class_OInf__fin(_u9857, _u9859))) )).
% 13.06/13.32 cnf(matrix-5011, plain, ( ~class_Orderings_Olinorder(_u9860) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9860), _u9861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9860), _u9862)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9860, tc_HOL_Obool)), _u9861), _u9862) = c_Orderings_Obot__class_Obot(tc_fun(_u9860, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9860), c_Big__Operators_Olinorder__class_OMax(_u9860, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9860, tc_HOL_Obool)), _u9861), _u9862))), c_Big__Operators_Olinorder__class_OMax(_u9860, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9860, tc_HOL_Obool)), _u9861), _u9862))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9860), c_Big__Operators_Olinorder__class_OMax(_u9860, _u9861)), c_Big__Operators_Olinorder__class_OMax(_u9860, _u9862))) )).
% 13.06/13.32 cnf(matrix-5012, plain, ( ~class_Orderings_Olinorder(_u9863) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), _u9864)) | ( _u9864 = c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), _u9865)) | ( _u9865 = c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9863, tc_HOL_Obool)), _u9864), _u9865) != c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9863, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9863, tc_HOL_Obool)), _u9864), _u9865)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9863), c_Big__Operators_Olinorder__class_OMax(_u9863, _u9864)), c_Big__Operators_Olinorder__class_OMax(_u9863, _u9865))) )).
% 13.06/13.32 cnf(matrix-5013, plain, ( ~class_Orderings_Olinorder(_u9868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9868), _u9869)) | ( _u9869 = c_Orderings_Obot__class_Obot(tc_fun(_u9868, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9868), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9868), skolem140(_u9869, _u9868)), skolem141(_u9869, _u9868))), hAPP(hAPP(c_Set_Oinsert(_u9868), skolem140(_u9869, _u9868)), hAPP(hAPP(c_Set_Oinsert(_u9868), skolem141(_u9869, _u9868)), c_Orderings_Obot__class_Obot(tc_fun(_u9868, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9868), c_Big__Operators_Olinorder__class_OMax(_u9868, _u9869)), _u9869)) )).
% 13.06/13.32 cnf(matrix-5014, plain, ( ~class_Lattices_Olattice(_u9872) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9872), _u9873)) | ( _u9873 = c_Orderings_Obot__class_Obot(tc_fun(_u9872, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9872), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9872), skolem142(_u9873, _u9872)), skolem143(_u9873, _u9872))), hAPP(hAPP(c_Set_Oinsert(_u9872), skolem142(_u9873, _u9872)), hAPP(hAPP(c_Set_Oinsert(_u9872), skolem143(_u9873, _u9872)), c_Orderings_Obot__class_Obot(tc_fun(_u9872, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9872), c_Big__Operators_Olattice__class_OInf__fin(_u9872, _u9873)), _u9873)) )).
% 13.06/13.32 cnf(matrix-5015, plain, ( ~class_Lattices_Olattice(_u9876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9876), _u9877)) | ( _u9877 = c_Orderings_Obot__class_Obot(tc_fun(_u9876, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9876), skolem144(_u9877, _u9876)), skolem145(_u9877, _u9876))), hAPP(hAPP(c_Set_Oinsert(_u9876), skolem144(_u9877, _u9876)), hAPP(hAPP(c_Set_Oinsert(_u9876), skolem145(_u9877, _u9876)), c_Orderings_Obot__class_Obot(tc_fun(_u9876, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9876), c_Big__Operators_Olattice__class_OSup__fin(_u9876, _u9877)), _u9877)) )).
% 13.06/13.32 cnf(matrix-5016, plain, ( ~class_Orderings_Olinorder(_u9878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9878), _u9879)) | ~hBOOL(hAPP(hAPP(c_member(_u9878), _u9880), _u9879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9878, tc_HOL_Obool)), _u9879), hAPP(hAPP(c_Set_Oinsert(_u9878), _u9880), c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9878, _u9879) = _u9880) )).
% 13.06/13.32 cnf(matrix-5017, plain, ( ~class_Orderings_Olinorder(_u9878) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9878), _u9879)) | ~hBOOL(hAPP(hAPP(c_member(_u9878), _u9880), _u9879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9878, tc_HOL_Obool)), _u9879), hAPP(hAPP(c_Set_Oinsert(_u9878), _u9880), c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9878, _u9879) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9878), _u9880), c_Big__Operators_Olinorder__class_OMin(_u9878, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9878, tc_HOL_Obool)), _u9879), hAPP(hAPP(c_Set_Oinsert(_u9878), _u9880), c_Orderings_Obot__class_Obot(tc_fun(_u9878, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5018, plain, ( ~class_Orderings_Olinorder(_u9881) | ( c_Big__Operators_Olinorder__class_OMin(_u9881, hAPP(hAPP(c_Set_Oinsert(_u9881), _u9882), c_Orderings_Obot__class_Obot(tc_fun(_u9881, tc_HOL_Obool)))) = _u9882) )).
% 13.06/13.32 cnf(matrix-5019, plain, ( ~class_Orderings_Olinorder(_u9883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9883), _u9884)) | ~hBOOL(hAPP(hAPP(c_member(_u9883), _u9885), _u9884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9883), c_Big__Operators_Olinorder__class_OMin(_u9883, _u9884)), _u9885)) )).
% 13.06/13.32 cnf(matrix-5020, plain, ( ~class_Orderings_Olinorder(_u9886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9886), _u9887)) | ( _u9887 = c_Orderings_Obot__class_Obot(tc_fun(_u9886, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9886), c_Big__Operators_Olinorder__class_OMin(_u9886, _u9887)), _u9887)) )).
% 13.06/13.32 cnf(matrix-5021, plain, ( ~class_Orderings_Olinorder(_u9888) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9888), _u9889)) | ~hBOOL(hAPP(hAPP(c_member(_u9888), _u9890), _u9889)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9888), _u9890), c_Big__Operators_Olinorder__class_OMin(_u9888, _u9889)) = c_Big__Operators_Olinorder__class_OMin(_u9888, _u9889)) )).
% 13.06/13.32 cnf(matrix-5022, plain, ( ~class_Orderings_Olinorder(_u9891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9891, tc_HOL_Obool)), _u9892), _u9893)) | ( _u9892 = c_Orderings_Obot__class_Obot(tc_fun(_u9891, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9891), _u9893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9891), c_Big__Operators_Olinorder__class_OMin(_u9891, _u9893)), c_Big__Operators_Olinorder__class_OMin(_u9891, _u9892))) )).
% 13.06/13.32 cnf(matrix-5023, plain, ( ~class_Orderings_Olinorder(_u9894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9894), _u9895)) | ( _u9895 = c_Orderings_Obot__class_Obot(tc_fun(_u9894, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9894, hAPP(hAPP(c_Set_Oinsert(_u9894), _u9896), _u9895)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9894), _u9896), c_Big__Operators_Olinorder__class_OMin(_u9894, _u9895))) )).
% 13.06/13.32 cnf(matrix-5024, plain, ( ~class_Orderings_Olinorder(_u9897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9897), _u9898)) | ( _u9899 = c_Orderings_Obot__class_Obot(tc_fun(_u9897, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9897, tc_HOL_Obool)), _u9899), _u9898)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9897), c_Big__Operators_Olinorder__class_OMin(_u9897, _u9899)), c_Big__Operators_Olinorder__class_OMin(_u9897, _u9898)) = c_Big__Operators_Olinorder__class_OMin(_u9897, _u9898)) )).
% 13.06/13.32 cnf(matrix-5025, plain, ( ~class_Orderings_Olinorder(_u9900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9900), _u9901)) | ( _u9901 = c_Orderings_Obot__class_Obot(tc_fun(_u9900, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9900), _u9902)) | ( _u9902 = c_Orderings_Obot__class_Obot(tc_fun(_u9900, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9900, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9900, tc_HOL_Obool)), _u9901), _u9902)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9900), c_Big__Operators_Olinorder__class_OMin(_u9900, _u9901)), c_Big__Operators_Olinorder__class_OMin(_u9900, _u9902))) )).
% 13.06/13.32 cnf(matrix-5026, plain, ( ~class_Orderings_Olinorder(_u9903) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9903), _u9904)) | hBOOL(hAPP(hAPP(c_member(_u9903), _u9905), _u9904)) | ( _u9904 = c_Orderings_Obot__class_Obot(tc_fun(_u9903, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9903, hAPP(hAPP(c_Set_Oinsert(_u9903), _u9905), _u9904)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9903), _u9905), c_Big__Operators_Olinorder__class_OMin(_u9903, _u9904))) )).
% 13.06/13.32 cnf(matrix-5027, plain, ( ~class_Orderings_Olinorder(_u9906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9906), _u9907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9906, hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), _u9907)) = _u9908) )).
% 13.06/13.32 cnf(matrix-5028, plain, ( ~class_Orderings_Olinorder(_u9906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9906), _u9907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9906, hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), _u9907)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9906), _u9908), c_Big__Operators_Olinorder__class_OMin(_u9906, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_Set_Oinsert(_u9906), _u9908), c_Orderings_Obot__class_Obot(tc_fun(_u9906, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5029, plain, ( ~class_Orderings_Olinorder(_u9909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9909), _u9910)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9909), _u9911)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9909, tc_HOL_Obool)), _u9910), _u9911) = c_Orderings_Obot__class_Obot(tc_fun(_u9909, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9909), c_Big__Operators_Olinorder__class_OMin(_u9909, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9909, tc_HOL_Obool)), _u9910), _u9911))), c_Big__Operators_Olinorder__class_OMin(_u9909, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9909, tc_HOL_Obool)), _u9910), _u9911))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9909), c_Big__Operators_Olinorder__class_OMin(_u9909, _u9910)), c_Big__Operators_Olinorder__class_OMin(_u9909, _u9911))) )).
% 13.06/13.32 cnf(matrix-5030, plain, ( ~class_Orderings_Olinorder(_u9912) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9912), _u9913)) | ( _u9913 = c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9912), _u9914)) | ( _u9914 = c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9912, tc_HOL_Obool)), _u9913), _u9914) != c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9912, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9912, tc_HOL_Obool)), _u9913), _u9914)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9912), c_Big__Operators_Olinorder__class_OMin(_u9912, _u9913)), c_Big__Operators_Olinorder__class_OMin(_u9912, _u9914))) )).
% 13.06/13.32 cnf(matrix-5031, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9915) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9915), _u9916)) | ( _u9916 = c_Orderings_Obot__class_Obot(tc_fun(_u9915, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9915), c_Big__Operators_Olinorder__class_OMax(_u9915, _u9916)) = c_Big__Operators_Olinorder__class_OMin(_u9915, hAPP(c_Set_Oimage(_u9915, _u9915, c_Groups_Ouminus__class_Ouminus(_u9915)), _u9916))) )).
% 13.06/13.32 cnf(matrix-5032, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9917), _u9918)) | ( _u9918 = c_Orderings_Obot__class_Obot(tc_fun(_u9917, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9917), c_Big__Operators_Olinorder__class_OMin(_u9917, _u9918)) = c_Big__Operators_Olinorder__class_OMax(_u9917, hAPP(c_Set_Oimage(_u9917, _u9917, c_Groups_Ouminus__class_Ouminus(_u9917)), _u9918))) )).
% 13.06/13.32 cnf(matrix-5033, plain, ( ~class_Orderings_Olinorder(_u9921) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9921), _u9922)) | ( _u9922 = c_Orderings_Obot__class_Obot(tc_fun(_u9921, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9921), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9921), skolem146(_u9922, _u9921)), skolem147(_u9922, _u9921))), hAPP(hAPP(c_Set_Oinsert(_u9921), skolem146(_u9922, _u9921)), hAPP(hAPP(c_Set_Oinsert(_u9921), skolem147(_u9922, _u9921)), c_Orderings_Obot__class_Obot(tc_fun(_u9921, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9921), c_Big__Operators_Olinorder__class_OMin(_u9921, _u9922)), _u9922)) )).
% 13.06/13.32 cnf(matrix-5034, plain, ( ~class_Orderings_Olinorder(_u9923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9923), _u9924)) | ~hBOOL(hAPP(hAPP(c_member(_u9923), _u9925), _u9924)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9923, tc_HOL_Obool)), _u9924), hAPP(hAPP(c_Set_Oinsert(_u9923), _u9925), c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9923, c_Orderings_Oord__class_Omax(_u9923), _u9924) = _u9925) )).
% 13.06/13.32 cnf(matrix-5035, plain, ( ~class_Orderings_Olinorder(_u9923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9923), _u9924)) | ~hBOOL(hAPP(hAPP(c_member(_u9923), _u9925), _u9924)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9923, tc_HOL_Obool)), _u9924), hAPP(hAPP(c_Set_Oinsert(_u9923), _u9925), c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9923, c_Orderings_Oord__class_Omax(_u9923), _u9924) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9923), _u9925), c_Big__Operators_Olattice_OSup__fin(_u9923, c_Orderings_Oord__class_Omax(_u9923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9923, tc_HOL_Obool)), _u9924), hAPP(hAPP(c_Set_Oinsert(_u9923), _u9925), c_Orderings_Obot__class_Obot(tc_fun(_u9923, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5036, plain, ( ~class_Orderings_Olinorder(_u9926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9926), _u9927)) | ~hBOOL(hAPP(hAPP(c_member(_u9926), _u9928), _u9927)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9926, tc_HOL_Obool)), _u9927), hAPP(hAPP(c_Set_Oinsert(_u9926), _u9928), c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9926, c_Orderings_Oord__class_Omin(_u9926), _u9927) = _u9928) )).
% 13.06/13.32 cnf(matrix-5037, plain, ( ~class_Orderings_Olinorder(_u9926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9926), _u9927)) | ~hBOOL(hAPP(hAPP(c_member(_u9926), _u9928), _u9927)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9926, tc_HOL_Obool)), _u9927), hAPP(hAPP(c_Set_Oinsert(_u9926), _u9928), c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9926, c_Orderings_Oord__class_Omin(_u9926), _u9927) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9926), _u9928), c_Big__Operators_Olattice_OInf__fin(_u9926, c_Orderings_Oord__class_Omin(_u9926), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9926, tc_HOL_Obool)), _u9927), hAPP(hAPP(c_Set_Oinsert(_u9926), _u9928), c_Orderings_Obot__class_Obot(tc_fun(_u9926, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5038, plain, ( ~c_Finite__Set_Ofolding__one(_u9931, _u9932, _u9933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9931), _u9934)) | ( _u9934 = c_Orderings_Obot__class_Obot(tc_fun(_u9931, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9931), hAPP(hAPP(_u9932, skolem148(_u9934, _u9933, _u9932, _u9931)), skolem149(_u9934, _u9933, _u9932, _u9931))), hAPP(hAPP(c_Set_Oinsert(_u9931), skolem148(_u9934, _u9933, _u9932, _u9931)), hAPP(hAPP(c_Set_Oinsert(_u9931), skolem149(_u9934, _u9933, _u9932, _u9931)), c_Orderings_Obot__class_Obot(tc_fun(_u9931, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9931), hAPP(_u9933, _u9934)), _u9934)) )).
% 13.06/13.32 cnf(matrix-5039, plain, ( ~class_Orderings_Olinorder(_u9935) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9935), _u9936)) | ( _u9936 = c_Orderings_Obot__class_Obot(tc_fun(_u9935, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9935), c_Big__Operators_Olattice_OInf__fin(_u9935, c_Orderings_Oord__class_Omin(_u9935), _u9936)), c_Big__Operators_Olattice_OSup__fin(_u9935, c_Orderings_Oord__class_Omax(_u9935), _u9936))) )).
% 13.06/13.32 cnf(matrix-5040, plain, ( ~class_Orderings_Olinorder(_u9937) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9937), _u9938)) | ~hBOOL(hAPP(hAPP(c_member(_u9937), _u9939), _u9938)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9937), _u9939), c_Big__Operators_Olattice_OInf__fin(_u9937, c_Orderings_Oord__class_Omin(_u9937), _u9938)) = c_Big__Operators_Olattice_OInf__fin(_u9937, c_Orderings_Oord__class_Omin(_u9937), _u9938)) )).
% 13.06/13.32 cnf(matrix-5041, plain, ( ~class_Orderings_Olinorder(_u9940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9940), _u9941)) | ~hBOOL(hAPP(hAPP(c_member(_u9940), _u9942), _u9941)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9940), _u9942), c_Big__Operators_Olattice_OSup__fin(_u9940, c_Orderings_Oord__class_Omax(_u9940), _u9941)) = c_Big__Operators_Olattice_OSup__fin(_u9940, c_Orderings_Oord__class_Omax(_u9940), _u9941)) )).
% 13.06/13.32 cnf(matrix-5042, plain, ( ~class_Orderings_Olinorder(_u9943) | ( c_Big__Operators_Olattice_OInf__fin(_u9943, c_Orderings_Oord__class_Omin(_u9943), hAPP(hAPP(c_Set_Oinsert(_u9943), _u9944), c_Orderings_Obot__class_Obot(tc_fun(_u9943, tc_HOL_Obool)))) = _u9944) )).
% 13.06/13.32 cnf(matrix-5043, plain, ( ~class_Orderings_Olinorder(_u9945) | ( c_Big__Operators_Olattice_OSup__fin(_u9945, c_Orderings_Oord__class_Omax(_u9945), hAPP(hAPP(c_Set_Oinsert(_u9945), _u9946), c_Orderings_Obot__class_Obot(tc_fun(_u9945, tc_HOL_Obool)))) = _u9946) )).
% 13.06/13.32 cnf(matrix-5044, plain, ( ~class_Orderings_Olinorder(_u9947) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9947), _u9948)) | ( _u9948 = c_Orderings_Obot__class_Obot(tc_fun(_u9947, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9947, c_Orderings_Oord__class_Omin(_u9947), hAPP(hAPP(c_Set_Oinsert(_u9947), _u9949), _u9948)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9947), _u9949), c_Big__Operators_Olattice_OInf__fin(_u9947, c_Orderings_Oord__class_Omin(_u9947), _u9948))) )).
% 13.06/13.32 cnf(matrix-5045, plain, ( ~class_Orderings_Olinorder(_u9950) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9950), _u9951)) | ( _u9951 = c_Orderings_Obot__class_Obot(tc_fun(_u9950, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9950, c_Orderings_Oord__class_Omax(_u9950), hAPP(hAPP(c_Set_Oinsert(_u9950), _u9952), _u9951)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9950), _u9952), c_Big__Operators_Olattice_OSup__fin(_u9950, c_Orderings_Oord__class_Omax(_u9950), _u9951))) )).
% 13.06/13.32 cnf(matrix-5046, plain, ( ~class_Orderings_Olinorder(_u9953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9953), _u9954)) | ( _u9955 = c_Orderings_Obot__class_Obot(tc_fun(_u9953, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9953, tc_HOL_Obool)), _u9955), _u9954)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9953), c_Big__Operators_Olattice_OInf__fin(_u9953, c_Orderings_Oord__class_Omin(_u9953), _u9955)), c_Big__Operators_Olattice_OInf__fin(_u9953, c_Orderings_Oord__class_Omin(_u9953), _u9954)) = c_Big__Operators_Olattice_OInf__fin(_u9953, c_Orderings_Oord__class_Omin(_u9953), _u9954)) )).
% 13.06/13.32 cnf(matrix-5047, plain, ( ~class_Orderings_Olinorder(_u9956) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9956), _u9957)) | ( _u9958 = c_Orderings_Obot__class_Obot(tc_fun(_u9956, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9956, tc_HOL_Obool)), _u9958), _u9957)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9956), c_Big__Operators_Olattice_OSup__fin(_u9956, c_Orderings_Oord__class_Omax(_u9956), _u9958)), c_Big__Operators_Olattice_OSup__fin(_u9956, c_Orderings_Oord__class_Omax(_u9956), _u9957)) = c_Big__Operators_Olattice_OSup__fin(_u9956, c_Orderings_Oord__class_Omax(_u9956), _u9957)) )).
% 13.06/13.32 cnf(matrix-5048, plain, ( ~class_Orderings_Olinorder(_u9959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9959), _u9960)) | ~hBOOL(hAPP(hAPP(c_member(_u9959), _u9961), _u9960)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9959), _u9961), c_Big__Operators_Olattice_OInf__fin(_u9959, c_Orderings_Oord__class_Omin(_u9959), _u9960)) = _u9961) )).
% 13.06/13.32 cnf(matrix-5049, plain, ( ~class_Orderings_Olinorder(_u9962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9962), _u9963)) | ~hBOOL(hAPP(hAPP(c_member(_u9962), _u9964), _u9963)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9962), _u9964), c_Big__Operators_Olattice_OSup__fin(_u9962, c_Orderings_Oord__class_Omax(_u9962), _u9963)) = _u9964) )).
% 13.06/13.32 cnf(matrix-5050, plain, ( ~class_Orderings_Olinorder(_u9965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9966)) | ( _u9966 = c_Orderings_Obot__class_Obot(tc_fun(_u9965, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9965), _u9967)) | ( _u9967 = c_Orderings_Obot__class_Obot(tc_fun(_u9965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9965, c_Orderings_Oord__class_Omin(_u9965), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9965, tc_HOL_Obool)), _u9966), _u9967)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9965), c_Big__Operators_Olattice_OInf__fin(_u9965, c_Orderings_Oord__class_Omin(_u9965), _u9966)), c_Big__Operators_Olattice_OInf__fin(_u9965, c_Orderings_Oord__class_Omin(_u9965), _u9967))) )).
% 13.06/13.32 cnf(matrix-5051, plain, ( ~class_Orderings_Olinorder(_u9968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9969)) | ( _u9969 = c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9970)) | ( _u9970 = c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9968, tc_HOL_Obool)), _u9969), _u9970)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9968), c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), _u9969)), c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), _u9970))) )).
% 13.06/13.32 cnf(matrix-5052, plain, ( ~class_Orderings_Olinorder(_u9971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9971), _u9972)) | hBOOL(hAPP(hAPP(c_member(_u9971), _u9973), _u9972)) | ( _u9972 = c_Orderings_Obot__class_Obot(tc_fun(_u9971, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9971, c_Orderings_Oord__class_Omin(_u9971), hAPP(hAPP(c_Set_Oinsert(_u9971), _u9973), _u9972)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9971), _u9973), c_Big__Operators_Olattice_OInf__fin(_u9971, c_Orderings_Oord__class_Omin(_u9971), _u9972))) )).
% 13.06/13.32 cnf(matrix-5053, plain, ( ~class_Orderings_Olinorder(_u9974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9974), _u9975)) | hBOOL(hAPP(hAPP(c_member(_u9974), _u9976), _u9975)) | ( _u9975 = c_Orderings_Obot__class_Obot(tc_fun(_u9974, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9974, c_Orderings_Oord__class_Omax(_u9974), hAPP(hAPP(c_Set_Oinsert(_u9974), _u9976), _u9975)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9974), _u9976), c_Big__Operators_Olattice_OSup__fin(_u9974, c_Orderings_Oord__class_Omax(_u9974), _u9975))) )).
% 13.06/13.32 cnf(matrix-5054, plain, ( ~class_Orderings_Olinorder(_u9977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9977), _u9978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9977, tc_HOL_Obool)), _u9978), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9977, c_Orderings_Oord__class_Omin(_u9977), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), _u9978)) = _u9979) )).
% 13.06/13.32 cnf(matrix-5055, plain, ( ~class_Orderings_Olinorder(_u9977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9977), _u9978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9977, tc_HOL_Obool)), _u9978), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9977, c_Orderings_Oord__class_Omin(_u9977), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), _u9978)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9977), _u9979), c_Big__Operators_Olattice_OInf__fin(_u9977, c_Orderings_Oord__class_Omin(_u9977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9977, tc_HOL_Obool)), _u9978), hAPP(hAPP(c_Set_Oinsert(_u9977), _u9979), c_Orderings_Obot__class_Obot(tc_fun(_u9977, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5056, plain, ( ~class_Orderings_Olinorder(_u9980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9980), _u9981)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9980, tc_HOL_Obool)), _u9981), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9980, c_Orderings_Oord__class_Omax(_u9980), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), _u9981)) = _u9982) )).
% 13.06/13.32 cnf(matrix-5057, plain, ( ~class_Orderings_Olinorder(_u9980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9980), _u9981)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9980, tc_HOL_Obool)), _u9981), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9980, c_Orderings_Oord__class_Omax(_u9980), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), _u9981)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9980), _u9982), c_Big__Operators_Olattice_OSup__fin(_u9980, c_Orderings_Oord__class_Omax(_u9980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9980, tc_HOL_Obool)), _u9981), hAPP(hAPP(c_Set_Oinsert(_u9980), _u9982), c_Orderings_Obot__class_Obot(tc_fun(_u9980, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5058, plain, ( ~class_Orderings_Olinorder(_u9983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9983), _u9984)) | ( _u9984 = c_Orderings_Obot__class_Obot(tc_fun(_u9983, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9983), _u9985)) | ( _u9985 = c_Orderings_Obot__class_Obot(tc_fun(_u9983, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9983, tc_HOL_Obool)), _u9984), _u9985) != c_Orderings_Obot__class_Obot(tc_fun(_u9983, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9983, c_Orderings_Oord__class_Omin(_u9983), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9983, tc_HOL_Obool)), _u9984), _u9985)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9983), c_Big__Operators_Olattice_OInf__fin(_u9983, c_Orderings_Oord__class_Omin(_u9983), _u9984)), c_Big__Operators_Olattice_OInf__fin(_u9983, c_Orderings_Oord__class_Omin(_u9983), _u9985))) )).
% 13.06/13.32 cnf(matrix-5059, plain, ( ~class_Orderings_Olinorder(_u9986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9986), _u9987)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9986), _u9988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9986, tc_HOL_Obool)), _u9987), _u9988) = c_Orderings_Obot__class_Obot(tc_fun(_u9986, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9986), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9986, tc_HOL_Obool)), _u9987), _u9988))), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9986, tc_HOL_Obool)), _u9987), _u9988))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9986), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), _u9987)), c_Big__Operators_Olattice_OInf__fin(_u9986, c_Orderings_Oord__class_Omin(_u9986), _u9988))) )).
% 13.06/13.32 cnf(matrix-5060, plain, ( ~class_Orderings_Olinorder(_u9989) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9989), _u9990)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9989), _u9991)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9989, tc_HOL_Obool)), _u9990), _u9991) = c_Orderings_Obot__class_Obot(tc_fun(_u9989, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9989), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9989, tc_HOL_Obool)), _u9990), _u9991))), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9989, tc_HOL_Obool)), _u9990), _u9991))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9989), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), _u9990)), c_Big__Operators_Olattice_OSup__fin(_u9989, c_Orderings_Oord__class_Omax(_u9989), _u9991))) )).
% 13.06/13.32 cnf(matrix-5061, plain, ( ~class_Orderings_Olinorder(_u9992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9992), _u9993)) | ( _u9993 = c_Orderings_Obot__class_Obot(tc_fun(_u9992, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9992), _u9994)) | ( _u9994 = c_Orderings_Obot__class_Obot(tc_fun(_u9992, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9992, tc_HOL_Obool)), _u9993), _u9994) != c_Orderings_Obot__class_Obot(tc_fun(_u9992, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9992, c_Orderings_Oord__class_Omax(_u9992), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9992, tc_HOL_Obool)), _u9993), _u9994)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9992), c_Big__Operators_Olattice_OSup__fin(_u9992, c_Orderings_Oord__class_Omax(_u9992), _u9993)), c_Big__Operators_Olattice_OSup__fin(_u9992, c_Orderings_Oord__class_Omax(_u9992), _u9994))) )).
% 13.06/13.32 cnf(matrix-5062, plain, ( ~class_Orderings_Olinorder(_u9997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9997), _u9998)) | ( _u9998 = c_Orderings_Obot__class_Obot(tc_fun(_u9997, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9997), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9997), skolem150(_u9998, _u9997)), skolem151(_u9998, _u9997))), hAPP(hAPP(c_Set_Oinsert(_u9997), skolem150(_u9998, _u9997)), hAPP(hAPP(c_Set_Oinsert(_u9997), skolem151(_u9998, _u9997)), c_Orderings_Obot__class_Obot(tc_fun(_u9997, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9997), c_Big__Operators_Olattice_OSup__fin(_u9997, c_Orderings_Oord__class_Omax(_u9997), _u9998)), _u9998)) )).
% 13.06/13.32 cnf(matrix-5063, plain, ( ~class_Orderings_Olinorder(_u10001) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10001), _u10002)) | ( _u10002 = c_Orderings_Obot__class_Obot(tc_fun(_u10001, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10001), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10001), skolem152(_u10002, _u10001)), skolem153(_u10002, _u10001))), hAPP(hAPP(c_Set_Oinsert(_u10001), skolem152(_u10002, _u10001)), hAPP(hAPP(c_Set_Oinsert(_u10001), skolem153(_u10002, _u10001)), c_Orderings_Obot__class_Obot(tc_fun(_u10001, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u10001), c_Big__Operators_Olattice_OInf__fin(_u10001, c_Orderings_Oord__class_Omin(_u10001), _u10002)), _u10002)) )).
% 13.06/13.32 cnf(matrix-5064, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10003), _u10004)) | ~hBOOL(hAPP(hAPP(c_member(_u10003), _u10005), _u10004)) | ( hAPP(c_Finite__Set_Ocard(_u10003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10003, tc_HOL_Obool)), _u10004), hAPP(hAPP(c_Set_Oinsert(_u10003), _u10005), c_Orderings_Obot__class_Obot(tc_fun(_u10003, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10003), _u10004)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.32 cnf(matrix-5065, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10003), _u10004)) | hBOOL(hAPP(hAPP(c_member(_u10003), _u10005), _u10004)) | ( hAPP(c_Finite__Set_Ocard(_u10003), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10003, tc_HOL_Obool)), _u10004), hAPP(hAPP(c_Set_Oinsert(_u10003), _u10005), c_Orderings_Obot__class_Obot(tc_fun(_u10003, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u10003), _u10004)) )).
% 13.06/13.32 cnf(matrix-5066, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10006), _u10007)) | ~hBOOL(hAPP(hAPP(c_member(_u10006), _u10008), _u10007)) | ( hAPP(c_Finite__Set_Ocard(_u10006), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10006, tc_HOL_Obool)), _u10007), hAPP(hAPP(c_Set_Oinsert(_u10006), _u10008), c_Orderings_Obot__class_Obot(tc_fun(_u10006, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10006), _u10007)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.32 cnf(matrix-5067, plain, ( ~c_Nat__Transfer_Onat__set(_u10009) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u10009) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10009))) )).
% 13.06/13.32 cnf(matrix-5068, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10010) = 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)), _u10010))) )).
% 13.06/13.32 cnf(matrix-5069, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10011), c_Orderings_Obot__class_Obot(tc_fun(_u10011, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5070, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10012), _u10013)) | ( hAPP(c_Finite__Set_Ocard(_u10012), _u10013) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5071, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10016), _u10018) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10018 = c_Orderings_Obot__class_Obot(tc_fun(_u10016, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10016), _u10018)) )).
% 13.06/13.32 cnf(matrix-5072, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10017), _u10019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10019 != c_Orderings_Obot__class_Obot(tc_fun(_u10017, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5073, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10017), _u10019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10017), _u10019)) )).
% 13.06/13.32 cnf(matrix-5074, 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(_u10020), _u10021))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10020), _u10021)) )).
% 13.06/13.32 cnf(matrix-5075, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10022), _u10023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10022), _u10023)), hAPP(c_Finite__Set_Ocard(_u10022), hAPP(hAPP(c_Set_Oinsert(_u10022), _u10024), _u10023)))) )).
% 13.06/13.32 cnf(matrix-5076, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10025), _u10026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10025, tc_HOL_Obool)), _u10027), _u10026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10025), _u10026)), hAPP(c_Finite__Set_Ocard(_u10025), _u10027))) | ( _u10027 = _u10026) )).
% 13.06/13.32 cnf(matrix-5077, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10028), _u10029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10028, tc_HOL_Obool)), _u10030), _u10029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10028), _u10030)), hAPP(c_Finite__Set_Ocard(_u10028), _u10029))) )).
% 13.06/13.32 cnf(matrix-5078, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10031), _u10032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10033), hAPP(c_Set_Oimage(_u10031, _u10033, _u10034), _u10032))), hAPP(c_Finite__Set_Ocard(_u10031), _u10032))) )).
% 13.06/13.32 cnf(matrix-5079, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10035), _u10036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10035, tc_HOL_Obool)), _u10037), _u10036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10035), _u10037)), hAPP(c_Finite__Set_Ocard(_u10035), _u10036))) )).
% 13.06/13.32 cnf(matrix-5080, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10038), _u10039)) | hBOOL(hAPP(hAPP(c_member(_u10038), _u10040), _u10039)) | ( hAPP(c_Finite__Set_Ocard(_u10038), hAPP(hAPP(c_Set_Oinsert(_u10038), _u10040), _u10039)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10038), _u10039))) )).
% 13.06/13.32 cnf(matrix-5081, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10041), _u10042)) | ~hBOOL(hAPP(hAPP(c_member(_u10041), _u10043), _u10042)) | ( hAPP(c_Finite__Set_Ocard(_u10041), hAPP(hAPP(c_Set_Oinsert(_u10041), _u10043), _u10042)) = hAPP(c_Finite__Set_Ocard(_u10041), _u10042)) )).
% 13.06/13.32 cnf(matrix-5082, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10041), _u10042)) | hBOOL(hAPP(hAPP(c_member(_u10041), _u10043), _u10042)) | ( hAPP(c_Finite__Set_Ocard(_u10041), hAPP(hAPP(c_Set_Oinsert(_u10041), _u10043), _u10042)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10041), _u10042))) )).
% 13.06/13.32 cnf(matrix-5083, 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(_u10046), _u10048))) | ( _u10048 != c_Orderings_Obot__class_Obot(tc_fun(_u10046, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5084, 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(_u10046), _u10048))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10046), _u10048)) )).
% 13.06/13.32 cnf(matrix-5085, plain, ( ( _u10049 = c_Orderings_Obot__class_Obot(tc_fun(_u10047, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), _u10049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10047), _u10049))) )).
% 13.06/13.32 cnf(matrix-5086, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10051)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10050), _u10052)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10050), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10050, tc_HOL_Obool)), _u10051), _u10052))), hAPP(c_Finite__Set_Ocard(_u10050), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10050, tc_HOL_Obool)), _u10051), _u10052))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10050), _u10051)), hAPP(c_Finite__Set_Ocard(_u10050), _u10052))) )).
% 13.06/13.32 cnf(matrix-5087, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10053), _u10054)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10053), _u10055)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10053), _u10054)), hAPP(c_Finite__Set_Ocard(_u10053), _u10055)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10053), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10053, tc_HOL_Obool)), _u10054), _u10055))), hAPP(c_Finite__Set_Ocard(_u10053), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10053, tc_HOL_Obool)), _u10054), _u10055)))) )).
% 13.06/13.32 cnf(matrix-5088, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10056), _u10057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10056, tc_HOL_Obool)), _u10057), _u10058)) | ( hAPP(c_Finite__Set_Ocard(_u10056), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10056, tc_HOL_Obool)), _u10058), _u10057)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10056), _u10058)), hAPP(c_Finite__Set_Ocard(_u10056), _u10057))) )).
% 13.06/13.32 cnf(matrix-5089, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10059, tc_HOL_Obool)), _u10060), _u10061))) | ( hAPP(c_Finite__Set_Ocard(_u10059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10059, tc_HOL_Obool)), _u10060), _u10061)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10059), _u10060)), hAPP(c_Finite__Set_Ocard(_u10059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10059, tc_HOL_Obool)), _u10060), _u10061)))) )).
% 13.06/13.32 cnf(matrix-5090, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10062), _u10063)) | 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(_u10062), _u10064)), hAPP(c_Finite__Set_Ocard(_u10062), _u10063))), hAPP(c_Finite__Set_Ocard(_u10062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10062, tc_HOL_Obool)), _u10064), _u10063)))) )).
% 13.06/13.32 cnf(matrix-5091, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10065), _u10066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10065, tc_HOL_Obool)), _u10067), _u10066)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10065), _u10067)), hAPP(c_Finite__Set_Ocard(_u10065), _u10066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10065, tc_HOL_Obool)), _u10067), _u10066)) )).
% 13.06/13.32 cnf(matrix-5092, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10068), _u10069)) | ( hAPP(c_Finite__Set_Ocard(_u10068), hAPP(hAPP(c_Set_Oinsert(_u10068), _u10070), _u10069)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10068), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10068, tc_HOL_Obool)), _u10069), hAPP(hAPP(c_Set_Oinsert(_u10068), _u10070), c_Orderings_Obot__class_Obot(tc_fun(_u10068, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5093, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10071), _u10072)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10071), _u10073)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10071, tc_HOL_Obool)), _u10072), _u10073) != c_Orderings_Obot__class_Obot(tc_fun(_u10071, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u10071), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10071, tc_HOL_Obool)), _u10072), _u10073)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10071), _u10072)), hAPP(c_Finite__Set_Ocard(_u10071), _u10073))) )).
% 13.06/13.32 cnf(matrix-5094, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10074), _u10075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10074, tc_HOL_Obool)), _u10075), hAPP(hAPP(c_Set_Oinsert(_u10074), _u10076), c_Orderings_Obot__class_Obot(tc_fun(_u10074, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10074), _u10075))) )).
% 13.06/13.32 cnf(matrix-5095, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10077), _u10078)) | hBOOL(hAPP(hAPP(c_member(_u10077), _u10079), _u10078)) | ( hAPP(c_Finite__Set_Ocard(_u10077), hAPP(hAPP(c_Set_Oinsert(_u10077), _u10079), _u10078)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10077), _u10078))) )).
% 13.06/13.32 cnf(matrix-5096, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10080), _u10081)) | ~hBOOL(hAPP(hAPP(c_member(_u10080), _u10082), _u10081)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u10080), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10080, tc_HOL_Obool)), _u10081), hAPP(hAPP(c_Set_Oinsert(_u10080), _u10082), c_Orderings_Obot__class_Obot(tc_fun(_u10080, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u10080), _u10081)) )).
% 13.06/13.32 cnf(matrix-5097, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10083), _u10084)) | ~hBOOL(hAPP(hAPP(c_member(_u10083), _u10085), _u10084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10083, tc_HOL_Obool)), _u10084), hAPP(hAPP(c_Set_Oinsert(_u10083), _u10085), c_Orderings_Obot__class_Obot(tc_fun(_u10083, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10083), _u10084))) )).
% 13.06/13.32 cnf(matrix-5098, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10086), _u10087)) | ~hBOOL(hAPP(hAPP(c_member(_u10086), _u10088), _u10087)) | ~hBOOL(hAPP(hAPP(c_member(_u10086), _u10089), _u10087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10086), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10086, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10086, tc_HOL_Obool)), _u10087), hAPP(hAPP(c_Set_Oinsert(_u10086), _u10088), c_Orderings_Obot__class_Obot(tc_fun(_u10086, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u10086), _u10089), c_Orderings_Obot__class_Obot(tc_fun(_u10086, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u10086), _u10087))) )).
% 13.06/13.32 cnf(matrix-5099, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10090), _u10091)) | ~hBOOL(hAPP(hAPP(c_member(_u10090), _u10092), _u10091)) | hBOOL(hAPP(hAPP(c_member(_u10090), _u10092), _u10093)) | ( hAPP(c_Finite__Set_Ocard(_u10090), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10090, tc_HOL_Obool)), _u10091), hAPP(hAPP(c_Set_Oinsert(_u10090), _u10092), _u10093))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10090), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10090, tc_HOL_Obool)), _u10091), _u10093))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.32 cnf(matrix-5100, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10094), _u10095)) | ( hAPP(c_Finite__Set_Ocard(_u10094), hAPP(hAPP(c_Set_Oinsert(_u10094), _u10096), _u10095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10094, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Set_Oinsert(_u10094), _u10096), c_Orderings_Obot__class_Obot(tc_fun(_u10094, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10097), _u10098)) | ~hBOOL(hAPP(hAPP(c_member(_u10097), _u10099), _u10098)) | ( hAPP(c_Finite__Set_Ocard(_u10097), _u10098) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10097), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10097, tc_HOL_Obool)), _u10098), hAPP(hAPP(c_Set_Oinsert(_u10097), _u10099), c_Orderings_Obot__class_Obot(tc_fun(_u10097, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10102)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10103)) | ( hAPP(c_Finite__Set_Ocard(_u10101), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10101, tc_HOL_Obool)), _u10102), _u10103)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10101), _u10102)), hAPP(c_Finite__Set_Ocard(_u10101), _u10103))) | hBOOL(hAPP(hAPP(c_member(_u10101), skolem154(_u10103, _u10102, _u10101)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10101, tc_HOL_Obool)), _u10102), _u10103))) )).
% 13.06/13.32 cnf(matrix-5103, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10102)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10101), _u10103)) | ( hAPP(c_Finite__Set_Ocard(_u10101), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10101, tc_HOL_Obool)), _u10102), _u10103)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10101), _u10102)), hAPP(c_Finite__Set_Ocard(_u10101), _u10103))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5104, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ( _u10113 = hAPP(hAPP(c_Set_Oinsert(_u10111), skolem155(_u10115, _u10113, _u10111)), skolem156(_u10115, _u10113, _u10111))) )).
% 13.06/13.32 cnf(matrix-5105, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ~hBOOL(hAPP(hAPP(c_member(_u10111), skolem155(_u10115, _u10113, _u10111)), skolem156(_u10115, _u10113, _u10111))) )).
% 13.06/13.32 cnf(matrix-5106, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ( hAPP(c_Finite__Set_Ocard(_u10111), skolem156(_u10115, _u10113, _u10111)) = _u10115) )).
% 13.06/13.32 cnf(matrix-5107, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10111), _u10113) != hAPP(c_Nat_OSuc, _u10115)) | ( _u10115 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem156(_u10115, _u10113, _u10111) = c_Orderings_Obot__class_Obot(tc_fun(_u10111, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5108, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10112), _u10114) = hAPP(c_Nat_OSuc, _u10116)) | ( _u10114 != hAPP(hAPP(c_Set_Oinsert(_u10112), _u10107), _u10106)) | hBOOL(hAPP(hAPP(c_member(_u10112), _u10107), _u10106)) | ( hAPP(c_Finite__Set_Ocard(_u10112), _u10106) != _u10116) | ( _u10116 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5109, plain, ( ( hAPP(c_Finite__Set_Ocard(_u10112), _u10114) = hAPP(c_Nat_OSuc, _u10116)) | ( _u10114 != hAPP(hAPP(c_Set_Oinsert(_u10112), _u10107), _u10106)) | hBOOL(hAPP(hAPP(c_member(_u10112), _u10107), _u10106)) | ( hAPP(c_Finite__Set_Ocard(_u10112), _u10106) != _u10116) | ( _u10106 != c_Orderings_Obot__class_Obot(tc_fun(_u10112, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5110, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10118), _u10119)) | ~c_Equiv__Relations_Oequiv(_u10118, _u10119, _u10120) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10121), hAPP(c_Finite__Set_Ocard(_u10118), _u10119))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10118, tc_HOL_Obool)), skolem157(_u10121, _u10120, _u10119, _u10118)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10118), _u10119), _u10120))) )).
% 13.06/13.32 cnf(matrix-5111, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10118), _u10119)) | ~c_Equiv__Relations_Oequiv(_u10118, _u10119, _u10120) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10121), hAPP(c_Finite__Set_Ocard(_u10118), _u10119))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u10121), hAPP(c_Finite__Set_Ocard(_u10118), skolem157(_u10121, _u10120, _u10119, _u10118)))) )).
% 13.06/13.32 cnf(matrix-5112, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10126), _u10128)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10130), _u10132)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10126, _u10130)), c_Sum__Type_OPlus(_u10126, _u10130, _u10128, _u10132)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10126), _u10128)), hAPP(c_Finite__Set_Ocard(_u10130), _u10132))) )).
% 13.06/13.32 cnf(matrix-5113, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10127, _u10131)), c_Sum__Type_OPlus(_u10127, _u10131, _u10129, _u10133)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10127), _u10129)) )).
% 13.06/13.32 cnf(matrix-5114, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10127, _u10131)), c_Sum__Type_OPlus(_u10127, _u10131, _u10129, _u10133)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10131), _u10133)) )).
% 13.06/13.32 cnf(matrix-5115, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10138, _u10140)), c_Sum__Type_OPlus(_u10138, _u10140, _u10142, _u10144))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10138), _u10142)) )).
% 13.06/13.32 cnf(matrix-5116, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10138, _u10140)), c_Sum__Type_OPlus(_u10138, _u10140, _u10142, _u10144))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10140), _u10144)) )).
% 13.06/13.32 cnf(matrix-5117, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10139), _u10143)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10141), _u10145)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10139, _u10141)), c_Sum__Type_OPlus(_u10139, _u10141, _u10143, _u10145))) )).
% 13.06/13.32 cnf(matrix-5118, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10146), _u10147)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10148), _u10149)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10146, _u10148)), c_Sum__Type_OPlus(_u10146, _u10148, _u10147, _u10149))) )).
% 13.06/13.32 cnf(matrix-5119, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10150, _u10151)), c_Sum__Type_OPlus(_u10150, _u10151, _u10152, _u10153))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10150), _u10152)) )).
% 13.06/13.32 cnf(matrix-5120, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10155), _u10157)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u10154, _u10155)), c_Sum__Type_OPlus(_u10154, _u10155, _u10156, _u10157))) )).
% 13.06/13.32 cnf(matrix-5121, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10158), _u10159)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10160), _u10161)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u10158, _u10160)), c_Sum__Type_OPlus(_u10158, _u10160, _u10159, _u10161)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10158), _u10159)), hAPP(c_Finite__Set_Ocard(_u10160), _u10161))) )).
% 13.06/13.32 cnf(matrix-5122, plain, ( ( c_Sum__Type_OPlus(_u10166, _u10168, _u10170, _u10172) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10166, _u10168), tc_HOL_Obool))) | ( _u10170 = c_Orderings_Obot__class_Obot(tc_fun(_u10166, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5123, plain, ( ( c_Sum__Type_OPlus(_u10166, _u10168, _u10170, _u10172) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10166, _u10168), tc_HOL_Obool))) | ( _u10172 = c_Orderings_Obot__class_Obot(tc_fun(_u10168, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5124, plain, ( ( _u10171 != c_Orderings_Obot__class_Obot(tc_fun(_u10167, tc_HOL_Obool))) | ( _u10173 != c_Orderings_Obot__class_Obot(tc_fun(_u10169, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u10167, _u10169, _u10171, _u10173) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u10167, _u10169), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5125, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10174, _u10175)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10175), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10174), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 13.06/13.32 cnf(matrix-5126, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10177), _u10178)) | ~hBOOL(hAPP(hAPP(c_member(_u10177), _u10179), _u10178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10177, _u10176), hAPP(hAPP(c_COMBC(_u10177, _u10176, _u10176), hAPP(hAPP(c_COMBS(_u10177, _u10176, tc_fun(_u10176, _u10176)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10176, tc_fun(_u10176, _u10176)), _u10177), c_If(_u10176)), hAPP(hAPP(c_COMBC(_u10177, _u10177, tc_HOL_Obool), c_fequal), _u10179))), _u10180)), _u10181)), _u10178) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10176), hAPP(_u10180, _u10179)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10176), _u10181), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10177), _u10178)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 13.06/13.32 cnf(matrix-5127, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10177), _u10178)) | hBOOL(hAPP(hAPP(c_member(_u10177), _u10179), _u10178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10177, _u10176), hAPP(hAPP(c_COMBC(_u10177, _u10176, _u10176), hAPP(hAPP(c_COMBS(_u10177, _u10176, tc_fun(_u10176, _u10176)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10176, tc_fun(_u10176, _u10176)), _u10177), c_If(_u10176)), hAPP(hAPP(c_COMBC(_u10177, _u10177, tc_HOL_Obool), c_fequal), _u10179))), _u10180)), _u10181)), _u10178) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10176), _u10181), hAPP(c_Finite__Set_Ocard(_u10177), _u10178))) )).
% 13.06/13.32 cnf(matrix-5128, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10182, _u10183))) )).
% 13.06/13.32 cnf(matrix-5129, plain, ( ~class_Groups_Ocomm__monoid__add(_u10184) | ~class_Groups_Ocomm__monoid__mult(_u10184) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10184), _u10185), _u10186) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10184), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10184, tc_Int_Oint), _u10185), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10186))) )).
% 13.06/13.32 cnf(matrix-5130, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10187) | ~class_Rings_Oring__1(_u10187) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10187), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10188, tc_Int_Oint), _u10189), _u10190)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10188, _u10187), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10187, _u10188), c_Int_Oring__1__class_Oof__int(_u10187)), _u10189)), _u10190)) )).
% 13.06/13.32 cnf(matrix-5131, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10191, tc_Nat_Onat), _u10192), _u10193) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10191, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10191), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10192)), _u10193))) )).
% 13.06/13.32 cnf(matrix-5132, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10194) | ~class_Rings_Osemiring__1(_u10194) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10194), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10195, tc_Nat_Onat), _u10196), _u10197)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10195, _u10194), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10194, _u10195), c_Nat_Osemiring__1__class_Oof__nat(_u10194)), _u10196)), _u10197)) )).
% 13.06/13.32 cnf(matrix-5133, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10198, tc_Nat_Onat), _u10199), _u10200)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10198, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10198), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10199)), _u10200)) )).
% 13.06/13.32 cnf(matrix-5134, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10201) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10202, _u10201), hAPP(hAPP(c_COMBS(_u10202, _u10201, _u10201), hAPP(hAPP(c_COMBB(_u10201, tc_fun(_u10201, _u10201), _u10202), c_Groups_Otimes__class_Otimes(_u10201)), _u10203)), _u10204)), _u10205) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10201), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10202, _u10201), _u10203), _u10205)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10202, _u10201), _u10204), _u10205))) )).
% 13.06/13.32 cnf(matrix-5135, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10207, _u10206), hAPP(c_COMBK(_u10206, _u10207), c_Groups_Oone__class_Oone(_u10206))), _u10208) = c_Groups_Oone__class_Oone(_u10206)) )).
% 13.06/13.32 cnf(matrix-5136, plain, ( ~class_Fields_Olinordered__field(_u10209) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10209), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10210, _u10209), _u10211), _u10212)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10210, _u10209), hAPP(hAPP(c_COMBB(_u10209, _u10209, _u10210), c_Groups_Oabs__class_Oabs(_u10209)), _u10211)), _u10212)) )).
% 13.06/13.32 cnf(matrix-5137, plain, ( ~class_Rings_Ocomm__semiring__1(_u10214) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10215), _u10216)) | ~hBOOL(hAPP(hAPP(c_member(_u10215), _u10213), _u10216)) | ( hAPP(_u10217, _u10213) != c_Groups_Ozero__class_Ozero(_u10214)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10215, _u10214), _u10217), _u10216) = c_Groups_Ozero__class_Ozero(_u10214)) )).
% 13.06/13.32 cnf(matrix-5138, plain, ( ~class_Rings_Ocomm__semiring__1(_u10220) | ~class_Rings_Ono__zero__divisors(_u10220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10221), _u10222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10221, _u10220), _u10223), _u10222) != c_Groups_Ozero__class_Ozero(_u10220)) | hBOOL(hAPP(hAPP(c_member(_u10221), skolem158(_u10223, _u10222, _u10221, _u10220)), _u10222)) )).
% 13.06/13.32 cnf(matrix-5139, plain, ( ~class_Rings_Ocomm__semiring__1(_u10220) | ~class_Rings_Ono__zero__divisors(_u10220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10221), _u10222)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10221, _u10220), _u10223), _u10222) != c_Groups_Ozero__class_Ozero(_u10220)) | ( hAPP(_u10223, skolem158(_u10223, _u10222, _u10221, _u10220)) = c_Groups_Ozero__class_Ozero(_u10220)) )).
% 13.06/13.32 cnf(matrix-5140, plain, ( ~class_Rings_Ocomm__semiring__1(_u10220) | ~class_Rings_Ono__zero__divisors(_u10220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10221), _u10222)) | ~hBOOL(hAPP(hAPP(c_member(_u10221), _u10219), _u10222)) | ( hAPP(_u10223, _u10219) != c_Groups_Ozero__class_Ozero(_u10220)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10221, _u10220), _u10223), _u10222) = c_Groups_Ozero__class_Ozero(_u10220)) )).
% 13.06/13.32 cnf(matrix-5141, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10224) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10225, _u10224), _u10226), c_Orderings_Obot__class_Obot(tc_fun(_u10225, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10224)) )).
% 13.06/13.32 cnf(matrix-5142, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10227) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10228, _u10227), _u10229), c_Orderings_Obot__class_Obot(tc_fun(_u10228, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10227)) )).
% 13.06/13.32 cnf(matrix-5143, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10230) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10231), _u10232)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10231, _u10230), _u10233), _u10232) = c_Groups_Oone__class_Oone(_u10230)) )).
% 13.06/13.32 cnf(matrix-5144, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10234) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10235), _u10236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10235, _u10234), _u10237), _u10236) = c_Groups_Oone__class_Oone(_u10234)) )).
% 13.06/13.32 cnf(matrix-5145, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10240, tc_Nat_Onat), _u10242), _u10241) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u10240), _u10238), _u10241)) | ( hAPP(_u10242, _u10238) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5146, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10240, tc_Nat_Onat), _u10242), _u10241) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10240), skolem159(_u10242, _u10241, _u10240)), _u10241)) )).
% 13.06/13.32 cnf(matrix-5147, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10240, tc_Nat_Onat), _u10242), _u10241) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u10242, skolem159(_u10242, _u10241, _u10240)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5148, plain, ( ~class_Groups_Ocomm__monoid__add(_u10243) | ~class_Groups_Ocomm__monoid__mult(_u10243) | ~c_Nat__Transfer_Onat__set(_u10244) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10243), _u10245), _u10244) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10243), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10243, tc_Nat_Onat), _u10245), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10244))) )).
% 13.06/13.32 cnf(matrix-5149, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10247), _u10248)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10247, _u10246), hAPP(hAPP(c_COMBS(_u10247, _u10246, _u10246), hAPP(hAPP(c_COMBB(_u10246, tc_fun(_u10246, _u10246), _u10247), c_Groups_Otimes__class_Otimes(_u10246)), _u10249)), _u10250)), _u10248) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10246), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10247, _u10246), _u10249), _u10248)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10247, _u10246), _u10250), _u10248))) )).
% 13.06/13.32 cnf(matrix-5150, plain, ( ~class_Fields_Ofield__inverse__zero(_u10251) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10252), _u10253)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10252, _u10251), hAPP(hAPP(c_COMBS(_u10252, _u10251, _u10251), hAPP(hAPP(c_COMBB(_u10251, tc_fun(_u10251, _u10251), _u10252), c_Rings_Oinverse__class_Odivide(_u10251)), _u10254)), _u10255)), _u10253) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10251), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10252, _u10251), _u10254), _u10253)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10252, _u10251), _u10255), _u10253))) )).
% 13.06/13.32 cnf(matrix-5151, plain, ( ~class_Rings_Ocomm__semiring__1(_u10256) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10257), _u10258)) | ~hBOOL(hAPP(hAPP(c_member(_u10257), _u10259), _u10258)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10256), hAPP(_u10260, _u10259)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10257, _u10256), _u10260), _u10258))) )).
% 13.06/13.32 cnf(matrix-5152, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10263), _u10264)) | ~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(_u10263, tc_Nat_Onat), _u10265), _u10264))) | ~hBOOL(hAPP(hAPP(c_member(_u10263), _u10261), _u10264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10265, _u10261))) )).
% 13.06/13.32 cnf(matrix-5153, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10263), _u10264)) | 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(_u10263, tc_Nat_Onat), _u10265), _u10264))) | hBOOL(hAPP(hAPP(c_member(_u10263), skolem160(_u10265, _u10264, _u10263)), _u10264)) )).
% 13.06/13.32 cnf(matrix-5154, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10263), _u10264)) | 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(_u10263, tc_Nat_Onat), _u10265), _u10264))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10265, skolem160(_u10265, _u10264, _u10263)))) )).
% 13.06/13.32 cnf(matrix-5155, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10266) | ~class_Rings_Odvd(_u10266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10267), _u10268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10267, tc_HOL_Obool)), _u10269), _u10268)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u10266), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10267, _u10266), _u10270), _u10269)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10267, _u10266), _u10270), _u10268))) )).
% 13.06/13.32 cnf(matrix-5156, plain, ( ~class_Orderings_Oorder(_u10271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10271), _u10272), _u10273)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u10271, _u10273, _u10272) = c_Orderings_Obot__class_Obot(tc_fun(_u10271, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5157, plain, ( ~class_Groups_Oordered__ab__group__add(_u10274) | ( hAPP(c_Set_Oimage(_u10274, _u10274, c_Groups_Ouminus__class_Ouminus(_u10274)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10274, _u10275, _u10276)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10274, hAPP(c_Groups_Ouminus__class_Ouminus(_u10274), _u10276), hAPP(c_Groups_Ouminus__class_Ouminus(_u10274), _u10275))) )).
% 13.06/13.32 cnf(matrix-5158, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | ~hBOOL(hAPP(hAPP(c_member(_u10278), _u10280), _u10279)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10278, _u10277), hAPP(hAPP(c_COMBC(_u10278, _u10277, _u10277), hAPP(hAPP(c_COMBS(_u10278, _u10277, tc_fun(_u10277, _u10277)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10277, tc_fun(_u10277, _u10277)), _u10278), c_If(_u10277)), hAPP(c_fequal, _u10280))), _u10281)), c_Groups_Oone__class_Oone(_u10277))), _u10279) = hAPP(_u10281, _u10280)) )).
% 13.06/13.32 cnf(matrix-5159, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10278), _u10279)) | hBOOL(hAPP(hAPP(c_member(_u10278), _u10280), _u10279)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10278, _u10277), hAPP(hAPP(c_COMBC(_u10278, _u10277, _u10277), hAPP(hAPP(c_COMBS(_u10278, _u10277, tc_fun(_u10277, _u10277)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10277, tc_fun(_u10277, _u10277)), _u10278), c_If(_u10277)), hAPP(c_fequal, _u10280))), _u10281)), c_Groups_Oone__class_Oone(_u10277))), _u10279) = c_Groups_Oone__class_Oone(_u10277)) )).
% 13.06/13.32 cnf(matrix-5160, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ~hBOOL(hAPP(hAPP(c_member(_u10283), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), hAPP(hAPP(c_COMBC(_u10283, _u10282, _u10282), hAPP(hAPP(c_COMBS(_u10283, _u10282, tc_fun(_u10282, _u10282)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10282, tc_fun(_u10282, _u10282)), _u10283), c_If(_u10282)), hAPP(hAPP(c_COMBC(_u10283, _u10283, tc_HOL_Obool), c_fequal), _u10285))), _u10286)), c_Groups_Oone__class_Oone(_u10282))), _u10284) = hAPP(_u10286, _u10285)) )).
% 13.06/13.32 cnf(matrix-5161, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | hBOOL(hAPP(hAPP(c_member(_u10283), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), hAPP(hAPP(c_COMBC(_u10283, _u10282, _u10282), hAPP(hAPP(c_COMBS(_u10283, _u10282, tc_fun(_u10282, _u10282)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10282, tc_fun(_u10282, _u10282)), _u10283), c_If(_u10282)), hAPP(hAPP(c_COMBC(_u10283, _u10283, tc_HOL_Obool), c_fequal), _u10285))), _u10286)), c_Groups_Oone__class_Oone(_u10282))), _u10284) = c_Groups_Oone__class_Oone(_u10282)) )).
% 13.06/13.32 cnf(matrix-5162, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10287) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10288), _u10289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10288, _u10287), hAPP(c_COMBK(_u10287, _u10288), _u10290)), _u10289) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10287), _u10290), hAPP(c_Finite__Set_Ocard(_u10288), _u10289))) )).
% 13.06/13.32 cnf(matrix-5163, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10291) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10292), _u10293)) | hBOOL(hAPP(hAPP(c_member(_u10292), _u10294), _u10293)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10292, _u10291), _u10295), hAPP(hAPP(c_Set_Oinsert(_u10292), _u10294), _u10293)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10291), hAPP(_u10295, _u10294)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10292, _u10291), _u10295), _u10293))) )).
% 13.06/13.32 cnf(matrix-5164, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10297), _u10298)) | hBOOL(hAPP(hAPP(c_member(_u10297), _u10299), _u10298)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10297, _u10296), _u10300), hAPP(hAPP(c_Set_Oinsert(_u10297), _u10299), _u10298)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10296), hAPP(_u10300, _u10299)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10297, _u10296), _u10300), _u10298))) )).
% 13.06/13.32 cnf(matrix-5165, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10302), _u10303)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10302), _u10304)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10302, tc_HOL_Obool)), _u10303), _u10304))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10302, tc_HOL_Obool)), _u10303), _u10304))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), _u10303)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10302, _u10301), _u10305), _u10304))) )).
% 13.06/13.32 cnf(matrix-5166, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10307), _u10308)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10307), _u10309)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10306), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10307, tc_HOL_Obool)), _u10308), _u10309))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10307, tc_HOL_Obool)), _u10308), _u10309))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10306), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), _u10308)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10307, _u10306), _u10310), _u10309))) )).
% 13.06/13.32 cnf(matrix-5167, plain, ( ~class_Orderings_Olinorder(_u10311) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10311, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10311, _u10312, _u10313)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10311, _u10314, _u10315)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10311, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10311), _u10312), _u10314), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10311), _u10313), _u10315))) )).
% 13.06/13.32 cnf(matrix-5168, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10317), _u10318)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10317, _u10316), _u10319), hAPP(hAPP(c_Set_Oinsert(_u10317), _u10320), _u10318)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10316), hAPP(_u10319, _u10320)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10317, _u10316), _u10319), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10317, tc_HOL_Obool)), _u10318), hAPP(hAPP(c_Set_Oinsert(_u10317), _u10320), c_Orderings_Obot__class_Obot(tc_fun(_u10317, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5169, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10322), _u10323)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10322), _u10324)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10322, tc_HOL_Obool)), _u10323), _u10324) != c_Orderings_Obot__class_Obot(tc_fun(_u10322, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10322, _u10321), _u10325), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10322, tc_HOL_Obool)), _u10323), _u10324)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10322, _u10321), _u10325), _u10323)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10322, _u10321), _u10325), _u10324))) )).
% 13.06/13.32 cnf(matrix-5170, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10327), _u10328)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10327), _u10329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10327, tc_HOL_Obool)), _u10328), _u10329) != c_Orderings_Obot__class_Obot(tc_fun(_u10327, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10327, _u10326), _u10330), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10327, tc_HOL_Obool)), _u10328), _u10329)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10326), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10327, _u10326), _u10330), _u10328)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10327, _u10326), _u10330), _u10329))) )).
% 13.06/13.32 cnf(matrix-5171, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10332), _u10333)) | ~hBOOL(hAPP(hAPP(c_member(_u10332), _u10334), _u10333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10332, _u10331), _u10335), _u10333) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10331), hAPP(_u10335, _u10334)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10332, _u10331), _u10335), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10332, tc_HOL_Obool)), _u10333), hAPP(hAPP(c_Set_Oinsert(_u10332), _u10334), c_Orderings_Obot__class_Obot(tc_fun(_u10332, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5172, plain, ( ~class_Fields_Ofield(_u10336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10337), _u10338)) | ( hAPP(_u10339, _u10340) = c_Groups_Ozero__class_Ozero(_u10336)) | ~hBOOL(hAPP(hAPP(c_member(_u10337), _u10340), _u10338)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10337, tc_HOL_Obool)), _u10338), hAPP(hAPP(c_Set_Oinsert(_u10337), _u10340), c_Orderings_Obot__class_Obot(tc_fun(_u10337, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10336), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), _u10338)), hAPP(_u10339, _u10340))) )).
% 13.06/13.32 cnf(matrix-5173, plain, ( ~class_Fields_Ofield(_u10336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10337), _u10338)) | ( hAPP(_u10339, _u10340) = c_Groups_Ozero__class_Ozero(_u10336)) | hBOOL(hAPP(hAPP(c_member(_u10337), _u10340), _u10338)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10337, tc_HOL_Obool)), _u10338), hAPP(hAPP(c_Set_Oinsert(_u10337), _u10340), c_Orderings_Obot__class_Obot(tc_fun(_u10337, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10337, _u10336), _u10339), _u10338)) )).
% 13.06/13.32 cnf(matrix-5174, plain, ( ~class_Fields_Ofield(_u10342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10344)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10342), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10344)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10345))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)))) | hBOOL(hAPP(hAPP(c_member(_u10343), skolem161(_u10346, _u10345, _u10344, _u10343, _u10342)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345))) )).
% 13.06/13.32 cnf(matrix-5175, plain, ( ~class_Fields_Ofield(_u10342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10344)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10343), _u10345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10342), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10344)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), _u10345))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10343, _u10342), _u10346), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10343, tc_HOL_Obool)), _u10344), _u10345)))) | ( hAPP(_u10346, skolem161(_u10346, _u10345, _u10344, _u10343, _u10342)) = c_Groups_Ozero__class_Ozero(_u10342)) )).
% 13.06/13.32 cnf(matrix-5176, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10350)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10349, tc_HOL_Obool)), _u10350), _u10351)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10348), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10350)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10351))) | hBOOL(hAPP(hAPP(c_member(_u10349), skolem162(_u10352, _u10351, _u10350, _u10349, _u10348)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10349, tc_HOL_Obool)), _u10350), _u10351))) )).
% 13.06/13.32 cnf(matrix-5177, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10350)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10349), _u10351)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10349, tc_HOL_Obool)), _u10350), _u10351)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10348), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10350)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10349, _u10348), _u10352), _u10351))) | ( hAPP(_u10352, skolem162(_u10352, _u10351, _u10350, _u10349, _u10348)) != c_Groups_Oone__class_Oone(_u10348)) )).
% 13.06/13.32 cnf(matrix-5178, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10356)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10355, tc_HOL_Obool)), _u10356), _u10357)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10356)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10357))) | hBOOL(hAPP(hAPP(c_member(_u10355), skolem163(_u10358, _u10357, _u10356, _u10355, _u10354)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10355, tc_HOL_Obool)), _u10356), _u10357))) )).
% 13.06/13.32 cnf(matrix-5179, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10356)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10355), _u10357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10355, tc_HOL_Obool)), _u10356), _u10357)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10354), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10356)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10355, _u10354), _u10358), _u10357))) | ( hAPP(_u10358, skolem163(_u10358, _u10357, _u10356, _u10355, _u10354)) != c_Groups_Oone__class_Oone(_u10354)) )).
% 13.06/13.32 cnf(matrix-5180, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10359, _u10360))) )).
% 13.06/13.32 cnf(matrix-5181, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10361, _u10362)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10362), hAPP(c_Nat_OSuc, _u10361))) )).
% 13.06/13.32 cnf(matrix-5182, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Int_Oint), _u10366), _u10365) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10364), c_Int_Onat), _u10366)), _u10365))) | hBOOL(hAPP(hAPP(c_member(_u10364), skolem164(_u10366, _u10365, _u10364)), _u10365)) )).
% 13.06/13.32 cnf(matrix-5183, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Int_Oint), _u10366), _u10365) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10364, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10364), c_Int_Onat), _u10366)), _u10365))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10366, skolem164(_u10366, _u10365, _u10364))) )).
% 13.06/13.32 cnf(matrix-5184, plain, ( ~class_Orderings_Olinorder(_u10367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10367), _u10368), _u10369)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10367, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10367, _u10368, _u10369)), hAPP(hAPP(c_Set_Oinsert(_u10367), _u10369), c_Orderings_Obot__class_Obot(tc_fun(_u10367, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10367, _u10368, _u10369)) )).
% 13.06/13.32 cnf(matrix-5185, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10370), _u10371), _u10372) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10370, tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool)), _u10371), hAPP(hAPP(c_COMBC(_u10370, tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10370, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool)), _u10370), c_Set_Oinsert(tc_fun(_u10370, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10370, tc_HOL_Obool), tc_fun(_u10370, tc_HOL_Obool), _u10370), c_Relation_OImage(_u10370, _u10370, _u10372)), hAPP(hAPP(c_COMBC(_u10370, tc_fun(_u10370, tc_HOL_Obool), tc_fun(_u10370, tc_HOL_Obool)), c_Set_Oinsert(_u10370)), c_Orderings_Obot__class_Obot(tc_fun(_u10370, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10370, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5186, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10373, _u10374))) )).
% 13.06/13.32 cnf(matrix-5187, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10375, _u10376))) )).
% 13.06/13.32 cnf(matrix-5188, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10377), _u10378), _u10379)) | ~hBOOL(hAPP(hAPP(_u10380, _u10378), _u10381)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10377, tc_fun(_u10382, tc_HOL_Obool)), _u10379), _u10380), _u10381)) )).
% 13.06/13.32 cnf(matrix-5189, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10390, tc_fun(_u10392, tc_HOL_Obool)), _u10394), _u10396), _u10398)) | hBOOL(hAPP(hAPP(c_member(_u10390), skolem165(_u10398, _u10396, _u10394, _u10392, _u10390)), _u10394)) )).
% 13.06/13.32 cnf(matrix-5190, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10390, tc_fun(_u10392, tc_HOL_Obool)), _u10394), _u10396), _u10398)) | hBOOL(hAPP(hAPP(_u10396, skolem165(_u10398, _u10396, _u10394, _u10392, _u10390)), _u10398)) )).
% 13.06/13.32 cnf(matrix-5191, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10391), _u10384), _u10395)) | ~hBOOL(hAPP(hAPP(_u10397, _u10384), _u10399)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10391, tc_fun(_u10393, tc_HOL_Obool)), _u10395), _u10397), _u10399)) )).
% 13.06/13.32 cnf(matrix-5192, plain, ( ( hAPP(c_Relation_OImage(_u10400, _u10401, _u10402), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10403, tc_fun(_u10400, tc_HOL_Obool)), _u10404), _u10405)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10403, tc_fun(_u10401, tc_HOL_Obool)), _u10404), hAPP(hAPP(c_COMBB(tc_fun(_u10400, tc_HOL_Obool), tc_fun(_u10401, tc_HOL_Obool), _u10403), c_Relation_OImage(_u10400, _u10401, _u10402)), _u10405))) )).
% 13.06/13.32 cnf(matrix-5193, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10408), _u10409)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10408, tc_fun(_u10410, tc_HOL_Obool)), _u10409), _u10411))) | ~hBOOL(hAPP(hAPP(c_member(_u10408), _u10406), _u10409)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(_u10411, _u10406))) )).
% 13.06/13.32 cnf(matrix-5194, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10408), _u10409)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10408, tc_fun(_u10410, tc_HOL_Obool)), _u10409), _u10411))) | hBOOL(hAPP(hAPP(c_member(_u10408), skolem166(_u10411, _u10410, _u10409, _u10408)), _u10409)) )).
% 13.06/13.32 cnf(matrix-5195, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10408), _u10409)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10408, tc_fun(_u10410, tc_HOL_Obool)), _u10409), _u10411))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10410), hAPP(_u10411, skolem166(_u10411, _u10410, _u10409, _u10408)))) )).
% 13.06/13.32 cnf(matrix-5196, plain, ( ~class_Orderings_Oorder(_u10412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10412), _u10413), _u10414)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10412, _u10414, _u10413) = c_Orderings_Obot__class_Obot(tc_fun(_u10412, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5197, plain, ( ~class_Orderings_Oorder(_u10415) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10415, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10415, _u10416, _u10417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10415), _u10416), _u10417)) )).
% 13.06/13.32 cnf(matrix-5198, plain, ( ~class_Orderings_Oorder(_u10415) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10415), _u10416), _u10417)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10415, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10415, _u10416, _u10417)) )).
% 13.06/13.32 cnf(matrix-5199, plain, ( ~class_Orderings_Oorder(_u10418) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10418, _u10419, _u10420) != c_Orderings_Obot__class_Obot(tc_fun(_u10418, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10418), _u10419), _u10420)) )).
% 13.06/13.32 cnf(matrix-5200, plain, ( ~class_Orderings_Oorder(_u10418) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10418), _u10419), _u10420)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10418, _u10419, _u10420) = c_Orderings_Obot__class_Obot(tc_fun(_u10418, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5201, plain, ( ~class_Orderings_Olinorder(_u10421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10421), _u10422), _u10423)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10421), _u10423), _u10424)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10421, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10421, _u10422, _u10423)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10421, _u10423, _u10424)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10421, _u10422, _u10424)) )).
% 13.06/13.32 cnf(matrix-5202, plain, ( ~class_Orderings_Oorder(_u10425) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10425, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10425, _u10426, _u10427)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10425, _u10427, _u10428)) = c_Orderings_Obot__class_Obot(tc_fun(_u10425, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5203, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10429, _u10430)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10430), _u10429)) )).
% 13.06/13.32 cnf(matrix-5204, plain, ( ( hAPP(c_Relation_OImage(_u10431, _u10432, _u10433), _u10434) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10431, tc_fun(_u10432, tc_HOL_Obool)), _u10434), hAPP(hAPP(c_COMBB(tc_fun(_u10431, tc_HOL_Obool), tc_fun(_u10432, tc_HOL_Obool), _u10431), c_Relation_OImage(_u10431, _u10432, _u10433)), hAPP(hAPP(c_COMBC(_u10431, tc_fun(_u10431, tc_HOL_Obool), tc_fun(_u10431, tc_HOL_Obool)), c_Set_Oinsert(_u10431)), c_Orderings_Obot__class_Obot(tc_fun(_u10431, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-5205, plain, ( ~class_Orderings_Olinorder(_u10435) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10435, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10435, _u10436, _u10437)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10435, _u10438, _u10439)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10435, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10435), _u10436), _u10438), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10435), _u10437), _u10439))) )).
% 13.06/13.32 cnf(matrix-5206, plain, ( ~class_Orderings_Oorder(_u10440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10440, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10440, _u10441, _u10442)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10440, _u10442, _u10443)) = c_Orderings_Obot__class_Obot(tc_fun(_u10440, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5207, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10444, _u10445)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10445), _u10444))) )).
% 13.06/13.32 cnf(matrix-5208, plain, ( ~class_Orderings_Olinorder(_u10446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10446), _u10447), _u10448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10446), _u10448), _u10449)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10446, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10446, _u10447, _u10448)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10446, _u10448, _u10449)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10446, _u10447, _u10449)) )).
% 13.06/13.32 cnf(matrix-5209, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10450), _u10451), _u10452)) | ~hBOOL(hAPP(hAPP(c_member(_u10453), _u10454), hAPP(_u10455, _u10451))) | hBOOL(hAPP(hAPP(c_member(_u10453), _u10454), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10450, tc_fun(_u10453, tc_HOL_Obool)), _u10452), _u10455))) )).
% 13.06/13.32 cnf(matrix-5210, plain, ( ( hAPP(c_Set_Oimage(_u10456, _u10457, _u10458), _u10459) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10456, tc_fun(_u10457, tc_HOL_Obool)), _u10459), hAPP(hAPP(c_COMBC(_u10456, tc_fun(_u10457, tc_HOL_Obool), tc_fun(_u10457, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10457, tc_fun(tc_fun(_u10457, tc_HOL_Obool), tc_fun(_u10457, tc_HOL_Obool)), _u10456), c_Set_Oinsert(_u10457)), _u10458)), c_Orderings_Obot__class_Obot(tc_fun(_u10457, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5211, plain, ( ~c_Equiv__Relations_Oequiv(_u10460, _u10461, _u10462) | ~c_Equiv__Relations_Oequiv(_u10463, _u10464, _u10465) | ~c_Equiv__Relations_Ocongruent2(_u10460, _u10463, tc_fun(_u10466, tc_HOL_Obool), _u10462, _u10465, _u10467) | ~hBOOL(hAPP(hAPP(c_member(_u10460), _u10468), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(_u10463), _u10469), _u10464)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10460, tc_fun(_u10466, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10460, _u10460, _u10462), hAPP(hAPP(c_Set_Oinsert(_u10460), _u10468), c_Orderings_Obot__class_Obot(tc_fun(_u10460, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u10463, tc_fun(_u10466, tc_HOL_Obool)), tc_fun(_u10466, tc_HOL_Obool), _u10460), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10463, tc_fun(_u10466, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10463, _u10463, _u10465), hAPP(hAPP(c_Set_Oinsert(_u10463), _u10469), c_Orderings_Obot__class_Obot(tc_fun(_u10463, tc_HOL_Obool)))))), _u10467)) = hAPP(hAPP(_u10467, _u10468), _u10469)) )).
% 13.06/13.32 cnf(matrix-5212, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10483), _u10472), _u10485)) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10471), hAPP(_u10487, _u10472))) | hBOOL(hAPP(_u10489, _u10471)) | hBOOL(hAPP(hAPP(c_member(_u10481), skolem167(_u10489, _u10487, _u10485, _u10483, _u10481)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10483, tc_fun(_u10481, tc_HOL_Obool)), _u10485), _u10487))) )).
% 13.06/13.32 cnf(matrix-5213, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10483), _u10472), _u10485)) | ~hBOOL(hAPP(hAPP(c_member(_u10481), _u10471), hAPP(_u10487, _u10472))) | hBOOL(hAPP(_u10489, _u10471)) | ~hBOOL(hAPP(_u10489, skolem167(_u10489, _u10487, _u10485, _u10483, _u10481))) )).
% 13.06/13.32 cnf(matrix-5214, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10484, tc_fun(_u10482, tc_HOL_Obool)), _u10486), _u10488))) | hBOOL(hAPP(_u10490, _u10475)) | hBOOL(hAPP(hAPP(c_member(_u10484), skolem168(_u10490, _u10488, _u10486, _u10484, _u10482)), _u10486)) )).
% 13.06/13.32 cnf(matrix-5215, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10484, tc_fun(_u10482, tc_HOL_Obool)), _u10486), _u10488))) | hBOOL(hAPP(_u10490, _u10475)) | hBOOL(hAPP(hAPP(c_member(_u10482), skolem169(_u10490, _u10488, _u10486, _u10484, _u10482)), hAPP(_u10488, skolem168(_u10490, _u10488, _u10486, _u10484, _u10482)))) )).
% 13.06/13.32 cnf(matrix-5216, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10484, tc_fun(_u10482, tc_HOL_Obool)), _u10486), _u10488))) | hBOOL(hAPP(_u10490, _u10475)) | ~hBOOL(hAPP(_u10490, skolem169(_u10490, _u10488, _u10486, _u10484, _u10482))) )).
% 13.06/13.32 cnf(matrix-5217, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10491) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10492, _u10491), _u10493), hAPP(hAPP(c_COMBB(tc_fun(_u10494, _u10491), _u10491, _u10492), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10494, _u10491), _u10495)), _u10496)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10494, _u10491), _u10495), hAPP(hAPP(c_COMBB(tc_fun(_u10492, _u10491), _u10491, _u10494), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10492, _u10491), _u10493)), hAPP(c_COMBC(_u10492, _u10494, _u10491), _u10496)))) )).
% 13.06/13.32 cnf(matrix-5218, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10497, tc_fun(_u10498, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10499, tc_fun(_u10497, tc_HOL_Obool)), _u10500), _u10501)), _u10502) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10499, tc_fun(_u10498, tc_HOL_Obool)), _u10500), hAPP(hAPP(c_COMBC(_u10499, tc_fun(_u10497, tc_fun(_u10498, tc_HOL_Obool)), tc_fun(_u10498, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10497, tc_HOL_Obool), tc_fun(tc_fun(_u10497, tc_fun(_u10498, tc_HOL_Obool)), tc_fun(_u10498, tc_HOL_Obool)), _u10499), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10497, tc_fun(_u10498, tc_HOL_Obool))), _u10501)), _u10502))) )).
% 13.06/13.32 cnf(matrix-5219, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10503, tc_fun(_u10504, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10505, tc_fun(_u10503, tc_HOL_Obool)), _u10506), _u10507)), _u10508) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10505, tc_fun(_u10504, tc_HOL_Obool)), _u10506), hAPP(hAPP(c_COMBC(_u10505, tc_fun(_u10503, tc_fun(_u10504, tc_HOL_Obool)), tc_fun(_u10504, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10503, tc_HOL_Obool), tc_fun(tc_fun(_u10503, tc_fun(_u10504, tc_HOL_Obool)), tc_fun(_u10504, tc_HOL_Obool)), _u10505), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10503, tc_fun(_u10504, tc_HOL_Obool))), _u10507)), _u10508))) )).
% 13.06/13.32 cnf(matrix-5220, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10509, tc_fun(_u10510, tc_HOL_Obool)), _u10511), hAPP(hAPP(c_COMBC(_u10509, tc_fun(_u10512, tc_fun(_u10510, tc_HOL_Obool)), tc_fun(_u10510, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10512, tc_HOL_Obool), tc_fun(tc_fun(_u10512, tc_fun(_u10510, tc_HOL_Obool)), tc_fun(_u10510, tc_HOL_Obool)), _u10509), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10512, tc_fun(_u10510, tc_HOL_Obool))), _u10513)), _u10514)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10512, tc_fun(_u10510, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10509, tc_fun(_u10512, tc_HOL_Obool)), _u10511), _u10513)), _u10514)) )).
% 13.06/13.32 cnf(matrix-5221, plain, ( ~c_Equiv__Relations_Ocongruent2(_u10515, _u10516, _u10517, _u10518, _u10519, _u10520) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10515, _u10515)), hAPP(hAPP(c_Product__Type_OPair(_u10515, _u10515), _u10521), _u10522)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10516, _u10516)), hAPP(hAPP(c_Product__Type_OPair(_u10516, _u10516), _u10523), _u10524)), _u10519)) | ( hAPP(hAPP(_u10520, _u10521), _u10523) = hAPP(hAPP(_u10520, _u10522), _u10524)) )).
% 13.06/13.32 cnf(matrix-5222, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10528, _u10527), _u10529), _u10530)), _u10531)) | ~hBOOL(hAPP(hAPP(c_member(_u10528), _u10525), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(_u10530, _u10525)), _u10531)) )).
% 13.06/13.32 cnf(matrix-5223, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10528, _u10527), _u10529), _u10530)), _u10531)) | hBOOL(hAPP(hAPP(c_member(_u10528), skolem170(_u10531, _u10530, _u10529, _u10528, _u10527)), _u10529)) )).
% 13.06/13.32 cnf(matrix-5224, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10528, _u10527), _u10529), _u10530)), _u10531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10527), hAPP(_u10530, skolem170(_u10531, _u10530, _u10529, _u10528, _u10527))), _u10531)) )).
% 13.06/13.32 cnf(matrix-5225, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10534) | ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10536, _u10534), _u10537), _u10538))) | hBOOL(hAPP(hAPP(c_member(_u10536), skolem171(_u10538, _u10537, _u10536, _u10535, _u10534)), _u10537)) )).
% 13.06/13.32 cnf(matrix-5226, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10534) | ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10536, _u10534), _u10537), _u10538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(_u10538, skolem171(_u10538, _u10537, _u10536, _u10535, _u10534)))) )).
% 13.06/13.32 cnf(matrix-5227, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10534) | ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(hAPP(c_member(_u10536), _u10533), _u10537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(_u10538, _u10533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10534), _u10535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10536, _u10534), _u10537), _u10538))) )).
% 13.06/13.32 cnf(matrix-5228, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10546), _u10548), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10550, tc_fun(_u10546, tc_HOL_Obool)), _u10552), _u10554))) | hBOOL(hAPP(hAPP(c_member(_u10550), skolem172(_u10554, _u10552, _u10550, _u10548, _u10546)), _u10552)) )).
% 13.06/13.32 cnf(matrix-5229, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10546), _u10548), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10550, tc_fun(_u10546, tc_HOL_Obool)), _u10552), _u10554))) | hBOOL(hAPP(hAPP(c_member(_u10546), _u10548), hAPP(_u10554, skolem172(_u10554, _u10552, _u10550, _u10548, _u10546)))) )).
% 13.06/13.32 cnf(matrix-5230, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10551), _u10540), _u10553)) | ~hBOOL(hAPP(hAPP(c_member(_u10547), _u10549), hAPP(_u10555, _u10540))) | hBOOL(hAPP(hAPP(c_member(_u10547), _u10549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10551, tc_fun(_u10547, tc_HOL_Obool)), _u10553), _u10555))) )).
% 13.06/13.32 cnf(matrix-5231, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10556) | ( _u10557 = c_Orderings_Obot__class_Obot(tc_fun(_u10558, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10558, _u10556), _u10557), hAPP(c_COMBK(_u10556, _u10558), _u10559)) = _u10559) )).
% 13.06/13.32 cnf(matrix-5232, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u10566, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10568, tc_fun(_u10566, tc_HOL_Obool)), _u10570), _u10572)) | ~hBOOL(hAPP(hAPP(c_member(_u10568), _u10560), _u10570)) | ( hAPP(_u10572, _u10560) = c_Orderings_Obot__class_Obot(tc_fun(_u10566, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5233, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10569, tc_fun(_u10567, tc_HOL_Obool)), _u10571), _u10573)) | hBOOL(hAPP(hAPP(c_member(_u10569), skolem173(_u10573, _u10571, _u10569, _u10567)), _u10571)) )).
% 13.06/13.32 cnf(matrix-5234, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10569, tc_fun(_u10567, tc_HOL_Obool)), _u10571), _u10573)) | ( hAPP(_u10573, skolem173(_u10573, _u10571, _u10569, _u10567)) != c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5235, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10574, tc_fun(_u10575, tc_HOL_Obool)), _u10576), hAPP(c_COMBK(tc_fun(_u10575, tc_HOL_Obool), _u10574), c_Orderings_Obot__class_Obot(tc_fun(_u10575, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u10575, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5236, plain, ( ( _u10581 != c_Orderings_Obot__class_Obot(tc_fun(_u10583, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10583, tc_fun(_u10585, tc_HOL_Obool)), _u10581), hAPP(c_COMBK(tc_fun(_u10585, tc_HOL_Obool), _u10583), _u10587)) = c_Orderings_Obot__class_Obot(tc_fun(_u10585, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5237, plain, ( ( _u10582 = c_Orderings_Obot__class_Obot(tc_fun(_u10584, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10584, tc_fun(_u10586, tc_HOL_Obool)), _u10582), hAPP(c_COMBK(tc_fun(_u10586, tc_HOL_Obool), _u10584), _u10588)) = _u10588) )).
% 13.06/13.32 cnf(matrix-5238, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10595, tc_fun(_u10597, tc_HOL_Obool)), _u10599), _u10601) != c_Orderings_Obot__class_Obot(tc_fun(_u10597, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u10595), _u10589), _u10599)) | ( hAPP(_u10601, _u10589) = c_Orderings_Obot__class_Obot(tc_fun(_u10597, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5239, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10596, tc_fun(_u10598, tc_HOL_Obool)), _u10600), _u10602) = c_Orderings_Obot__class_Obot(tc_fun(_u10598, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u10596), skolem174(_u10602, _u10600, _u10598, _u10596)), _u10600)) )).
% 13.06/13.32 cnf(matrix-5240, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10596, tc_fun(_u10598, tc_HOL_Obool)), _u10600), _u10602) = c_Orderings_Obot__class_Obot(tc_fun(_u10598, tc_HOL_Obool))) | ( hAPP(_u10602, skolem174(_u10602, _u10600, _u10598, _u10596)) != c_Orderings_Obot__class_Obot(tc_fun(_u10598, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10610, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10612, tc_fun(_u10610, tc_HOL_Obool)), _u10614), _u10616)), _u10618)) | ~hBOOL(hAPP(hAPP(c_member(_u10612), _u10603), _u10614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10610, tc_HOL_Obool)), hAPP(_u10616, _u10603)), _u10618)) )).
% 13.06/13.32 cnf(matrix-5242, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10611, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10613, tc_fun(_u10611, tc_HOL_Obool)), _u10615), _u10617)), _u10619)) | hBOOL(hAPP(hAPP(c_member(_u10613), skolem175(_u10619, _u10617, _u10615, _u10613, _u10611)), _u10615)) )).
% 13.06/13.32 cnf(matrix-5243, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10611, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10613, tc_fun(_u10611, tc_HOL_Obool)), _u10615), _u10617)), _u10619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10611, tc_HOL_Obool)), hAPP(_u10617, skolem175(_u10619, _u10617, _u10615, _u10613, _u10611))), _u10619)) )).
% 13.06/13.32 cnf(matrix-5244, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10620, tc_fun(_u10621, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10622, _u10620, _u10623), _u10624)), _u10625) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10622, tc_fun(_u10621, tc_HOL_Obool)), _u10624), hAPP(hAPP(c_COMBB(_u10620, tc_fun(_u10621, tc_HOL_Obool), _u10622), _u10625), _u10623))) )).
% 13.06/13.32 cnf(matrix-5245, plain, ( ( hAPP(c_Set_Oimage(_u10626, _u10627, _u10628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10629, tc_fun(_u10626, tc_HOL_Obool)), _u10630), _u10631)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10629, tc_fun(_u10627, tc_HOL_Obool)), _u10630), hAPP(hAPP(c_COMBB(tc_fun(_u10626, tc_HOL_Obool), tc_fun(_u10627, tc_HOL_Obool), _u10629), c_Set_Oimage(_u10626, _u10627, _u10628)), _u10631))) )).
% 13.06/13.32 cnf(matrix-5246, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10632, tc_fun(_u10633, tc_HOL_Obool)), _u10634), hAPP(hAPP(c_COMBB(_u10635, tc_fun(_u10633, tc_HOL_Obool), _u10632), _u10636), _u10637)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10635, tc_fun(_u10633, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10632, _u10635, _u10637), _u10634)), _u10636)) )).
% 13.06/13.32 cnf(matrix-5247, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10638, tc_fun(_u10639, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10638, tc_HOL_Obool)), _u10640), _u10641)), _u10642) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10639, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10638, tc_fun(_u10639, tc_HOL_Obool)), _u10640), _u10642)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10638, tc_fun(_u10639, tc_HOL_Obool)), _u10641), _u10642))) )).
% 13.06/13.32 cnf(matrix-5248, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10643, tc_fun(_u10644, tc_HOL_Obool)), _u10645), hAPP(hAPP(c_COMBS(_u10643, tc_fun(_u10644, tc_HOL_Obool), tc_fun(_u10644, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10644, tc_HOL_Obool), tc_fun(tc_fun(_u10644, tc_HOL_Obool), tc_fun(_u10644, tc_HOL_Obool)), _u10643), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10644, tc_HOL_Obool))), _u10646)), _u10647)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10644, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10643, tc_fun(_u10644, tc_HOL_Obool)), _u10645), _u10646)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10643, tc_fun(_u10644, tc_HOL_Obool)), _u10645), _u10647))) )).
% 13.06/13.32 cnf(matrix-5249, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10648, tc_fun(_u10649, tc_HOL_Obool)), _u10650), hAPP(hAPP(c_COMBB(tc_fun(_u10649, tc_HOL_Obool), tc_fun(_u10649, tc_HOL_Obool), _u10648), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10649, tc_HOL_Obool)), _u10651)), _u10652)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10649, tc_HOL_Obool)), _u10651), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10648, tc_fun(_u10649, tc_HOL_Obool)), _u10650), _u10652))) )).
% 13.06/13.32 cnf(matrix-5250, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10653, tc_fun(_u10654, tc_HOL_Obool)), _u10655), hAPP(hAPP(c_COMBC(_u10653, tc_fun(_u10654, tc_HOL_Obool), tc_fun(_u10654, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10654, tc_HOL_Obool), tc_fun(tc_fun(_u10654, tc_HOL_Obool), tc_fun(_u10654, tc_HOL_Obool)), _u10653), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10654, tc_HOL_Obool))), _u10656)), _u10657)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10654, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10653, tc_fun(_u10654, tc_HOL_Obool)), _u10655), _u10656)), _u10657)) )).
% 13.06/13.32 cnf(matrix-5251, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10658, tc_HOL_Obool)), _u10659), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10660, tc_fun(_u10658, tc_HOL_Obool)), _u10661), _u10662)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10660, tc_fun(_u10658, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_COMBB(tc_fun(_u10658, tc_HOL_Obool), tc_fun(_u10658, tc_HOL_Obool), _u10660), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10658, tc_HOL_Obool)), _u10659)), _u10662))) )).
% 13.06/13.32 cnf(matrix-5252, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10663, tc_HOL_Obool)), _u10664), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10665, tc_fun(_u10663, tc_HOL_Obool)), _u10666), _u10667)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10665, tc_fun(_u10663, tc_HOL_Obool)), _u10666), hAPP(hAPP(c_COMBB(tc_fun(_u10663, tc_HOL_Obool), tc_fun(_u10663, tc_HOL_Obool), _u10665), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10663, tc_HOL_Obool)), _u10664)), _u10667))) )).
% 13.06/13.32 cnf(matrix-5253, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10668, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10669, tc_fun(_u10668, tc_HOL_Obool)), _u10670), _u10671)), _u10672) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10669, tc_fun(_u10668, tc_HOL_Obool)), _u10670), hAPP(hAPP(c_COMBC(_u10669, tc_fun(_u10668, tc_HOL_Obool), tc_fun(_u10668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10668, tc_HOL_Obool), tc_fun(tc_fun(_u10668, tc_HOL_Obool), tc_fun(_u10668, tc_HOL_Obool)), _u10669), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10668, tc_HOL_Obool))), _u10671)), _u10672))) )).
% 13.06/13.32 cnf(matrix-5254, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10673, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10674, tc_fun(_u10673, tc_HOL_Obool)), _u10675), _u10676)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10677, tc_fun(_u10673, tc_HOL_Obool)), _u10678), _u10679)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10674, tc_fun(_u10673, tc_HOL_Obool)), _u10675), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool)), tc_fun(_u10673, tc_HOL_Obool), _u10674), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10677, tc_fun(_u10673, tc_HOL_Obool)), _u10678)), hAPP(hAPP(c_COMBC(_u10674, tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool)), tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10673, tc_HOL_Obool), tc_fun(_u10673, tc_HOL_Obool)), tc_fun(tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool)), tc_fun(_u10677, tc_fun(_u10673, tc_HOL_Obool))), _u10674), c_COMBB(tc_fun(_u10673, tc_HOL_Obool), tc_fun(_u10673, tc_HOL_Obool), _u10677)), hAPP(hAPP(c_COMBB(tc_fun(_u10673, tc_HOL_Obool), tc_fun(tc_fun(_u10673, tc_HOL_Obool), tc_fun(_u10673, tc_HOL_Obool)), _u10674), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10673, tc_HOL_Obool))), _u10676))), _u10679)))) )).
% 13.06/13.32 cnf(matrix-5255, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10680) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10681, tc_fun(_u10682, _u10680)), _u10683), _u10684), _u10685) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10681, _u10680), _u10683), hAPP(hAPP(c_COMBC(_u10681, _u10682, _u10680), _u10684), _u10685))) )).
% 13.06/13.32 cnf(matrix-5256, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10686, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10687, tc_fun(_u10686, tc_HOL_Obool)), _u10688), _u10689)), _u10690) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10687, tc_fun(_u10686, tc_HOL_Obool)), _u10688), hAPP(hAPP(c_COMBC(_u10687, tc_fun(_u10686, tc_HOL_Obool), tc_fun(_u10686, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10686, tc_HOL_Obool), tc_fun(tc_fun(_u10686, tc_HOL_Obool), tc_fun(_u10686, tc_HOL_Obool)), _u10687), c_Groups_Ominus__class_Ominus(tc_fun(_u10686, tc_HOL_Obool))), _u10689)), _u10690))) )).
% 13.06/13.32 cnf(matrix-5257, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10691, tc_fun(_u10692, tc_HOL_Obool)), _u10693), hAPP(hAPP(c_COMBC(_u10691, tc_fun(_u10692, tc_HOL_Obool), tc_fun(_u10692, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10692, tc_HOL_Obool), tc_fun(tc_fun(_u10692, tc_HOL_Obool), tc_fun(_u10692, tc_HOL_Obool)), _u10691), c_Groups_Ominus__class_Ominus(tc_fun(_u10692, tc_HOL_Obool))), _u10694)), _u10695)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10692, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10691, tc_fun(_u10692, tc_HOL_Obool)), _u10693), _u10694)), _u10695)) )).
% 13.06/13.32 cnf(matrix-5258, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10697, tc_HOL_Obool)), _u10698), _u10699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10696), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10697, _u10696), _u10698), _u10700)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10697, _u10696), _u10699), _u10700))) )).
% 13.06/13.32 cnf(matrix-5259, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10701) | ~hBOOL(hAPP(hAPP(c_member(_u10702), _u10703), _u10704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10701), hAPP(_u10705, _u10703)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10702, _u10701), _u10704), _u10705))) )).
% 13.06/13.32 cnf(matrix-5260, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10706), _u10707), _u10708)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10706, tc_fun(_u10709, tc_HOL_Obool)), _u10708), hAPP(hAPP(c_COMBB(tc_fun(_u10709, tc_HOL_Obool), tc_fun(_u10709, tc_HOL_Obool), _u10706), hAPP(c_Set_Oinsert(_u10709), _u10710)), _u10711)) = hAPP(hAPP(c_Set_Oinsert(_u10709), _u10710), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10706, tc_fun(_u10709, tc_HOL_Obool)), _u10708), _u10711))) )).
% 13.06/13.32 cnf(matrix-5261, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10712), _u10713), _u10714)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10715, tc_HOL_Obool)), hAPP(_u10716, _u10713)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10712, tc_fun(_u10715, tc_HOL_Obool)), _u10714), _u10716))) )).
% 13.06/13.32 cnf(matrix-5262, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10717), _u10718), _u10719)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10720, tc_HOL_Obool)), hAPP(_u10721, _u10718)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10717, tc_fun(_u10720, tc_HOL_Obool)), _u10719), _u10721)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10717, tc_fun(_u10720, tc_HOL_Obool)), _u10719), _u10721)) )).
% 13.06/13.32 cnf(matrix-5263, plain, ( ( _u10727 != c_Orderings_Obot__class_Obot(tc_fun(_u10729, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10731), _u10733), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10729, tc_fun(_u10731, tc_HOL_Obool)), _u10727), _u10735)) = hAPP(hAPP(c_Set_Oinsert(_u10731), _u10733), c_Orderings_Obot__class_Obot(tc_fun(_u10731, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5264, plain, ( ( _u10728 = c_Orderings_Obot__class_Obot(tc_fun(_u10730, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u10732), _u10734), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10730, tc_fun(_u10732, tc_HOL_Obool)), _u10728), _u10736)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10730, tc_fun(_u10732, tc_HOL_Obool)), _u10728), hAPP(hAPP(c_COMBB(tc_fun(_u10732, tc_HOL_Obool), tc_fun(_u10732, tc_HOL_Obool), _u10730), hAPP(c_Set_Oinsert(_u10732), _u10734)), _u10736))) )).
% 13.06/13.32 cnf(matrix-5265, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10737, tc_fun(_u10737, tc_HOL_Obool)), _u10738), hAPP(hAPP(c_COMBC(_u10737, tc_fun(_u10737, tc_HOL_Obool), tc_fun(_u10737, tc_HOL_Obool)), c_Set_Oinsert(_u10737)), c_Orderings_Obot__class_Obot(tc_fun(_u10737, tc_HOL_Obool)))) = _u10738) )).
% 13.06/13.32 cnf(matrix-5266, plain, ( ( _u10744 != c_Orderings_Obot__class_Obot(tc_fun(_u10746, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10746, tc_fun(_u10748, tc_HOL_Obool)), _u10744), hAPP(hAPP(c_COMBB(tc_fun(_u10748, tc_HOL_Obool), tc_fun(_u10748, tc_HOL_Obool), _u10746), hAPP(c_Set_Oinsert(_u10748), _u10750)), _u10752)) = c_Orderings_Obot__class_Obot(tc_fun(_u10748, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5267, plain, ( ( _u10745 = c_Orderings_Obot__class_Obot(tc_fun(_u10747, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10747, tc_fun(_u10749, tc_HOL_Obool)), _u10745), hAPP(hAPP(c_COMBB(tc_fun(_u10749, tc_HOL_Obool), tc_fun(_u10749, tc_HOL_Obool), _u10747), hAPP(c_Set_Oinsert(_u10749), _u10751)), _u10753)) = hAPP(hAPP(c_Set_Oinsert(_u10749), _u10751), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10747, tc_fun(_u10749, tc_HOL_Obool)), _u10745), _u10753))) )).
% 13.06/13.32 cnf(matrix-5268, plain, ( ( _u10759 != c_Orderings_Obot__class_Obot(tc_fun(_u10761, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10763, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10761, tc_fun(_u10763, tc_HOL_Obool)), _u10759), _u10765)), _u10767) = _u10767) )).
% 13.06/13.32 cnf(matrix-5269, plain, ( ( _u10760 = c_Orderings_Obot__class_Obot(tc_fun(_u10762, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10764, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10762, tc_fun(_u10764, tc_HOL_Obool)), _u10760), _u10766)), _u10768) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10762, tc_fun(_u10764, tc_HOL_Obool)), _u10760), hAPP(hAPP(c_COMBC(_u10762, tc_fun(_u10764, tc_HOL_Obool), tc_fun(_u10764, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10764, tc_HOL_Obool), tc_fun(tc_fun(_u10764, tc_HOL_Obool), tc_fun(_u10764, tc_HOL_Obool)), _u10762), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10764, tc_HOL_Obool))), _u10766)), _u10768))) )).
% 13.06/13.32 cnf(matrix-5270, plain, ( ( _u10774 != c_Orderings_Obot__class_Obot(tc_fun(_u10776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10778, tc_HOL_Obool)), _u10780), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10776, tc_fun(_u10778, tc_HOL_Obool)), _u10774), _u10782)) = _u10780) )).
% 13.06/13.32 cnf(matrix-5271, plain, ( ( _u10775 = c_Orderings_Obot__class_Obot(tc_fun(_u10777, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10779, tc_HOL_Obool)), _u10781), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10777, tc_fun(_u10779, tc_HOL_Obool)), _u10775), _u10783)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10777, tc_fun(_u10779, tc_HOL_Obool)), _u10775), hAPP(hAPP(c_COMBB(tc_fun(_u10779, tc_HOL_Obool), tc_fun(_u10779, tc_HOL_Obool), _u10777), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10779, tc_HOL_Obool)), _u10781)), _u10783))) )).
% 13.06/13.32 cnf(matrix-5272, plain, ( ( _u10789 != c_Orderings_Obot__class_Obot(tc_fun(_u10791, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10791, tc_fun(_u10793, tc_HOL_Obool)), _u10789), hAPP(hAPP(c_COMBC(_u10791, tc_fun(_u10793, tc_HOL_Obool), tc_fun(_u10793, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10793, tc_HOL_Obool), tc_fun(tc_fun(_u10793, tc_HOL_Obool), tc_fun(_u10793, tc_HOL_Obool)), _u10791), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10793, tc_HOL_Obool))), _u10795)), _u10797)) = c_Orderings_Obot__class_Obot(tc_fun(_u10793, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5273, plain, ( ( _u10790 = c_Orderings_Obot__class_Obot(tc_fun(_u10792, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10792, tc_fun(_u10794, tc_HOL_Obool)), _u10790), hAPP(hAPP(c_COMBC(_u10792, tc_fun(_u10794, tc_HOL_Obool), tc_fun(_u10794, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10794, tc_HOL_Obool), tc_fun(tc_fun(_u10794, tc_HOL_Obool), tc_fun(_u10794, tc_HOL_Obool)), _u10792), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10794, tc_HOL_Obool))), _u10796)), _u10798)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10794, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10792, tc_fun(_u10794, tc_HOL_Obool)), _u10790), _u10796)), _u10798)) )).
% 13.06/13.32 cnf(matrix-5274, plain, ( ( _u10804 != c_Orderings_Obot__class_Obot(tc_fun(_u10806, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10806, tc_fun(_u10808, tc_HOL_Obool)), _u10804), hAPP(hAPP(c_COMBB(tc_fun(_u10808, tc_HOL_Obool), tc_fun(_u10808, tc_HOL_Obool), _u10806), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10808, tc_HOL_Obool)), _u10810)), _u10812)) = c_Orderings_Obot__class_Obot(tc_fun(_u10808, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5275, plain, ( ( _u10805 = c_Orderings_Obot__class_Obot(tc_fun(_u10807, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10807, tc_fun(_u10809, tc_HOL_Obool)), _u10805), hAPP(hAPP(c_COMBB(tc_fun(_u10809, tc_HOL_Obool), tc_fun(_u10809, tc_HOL_Obool), _u10807), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10809, tc_HOL_Obool)), _u10811)), _u10813)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10809, tc_HOL_Obool)), _u10811), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10807, tc_fun(_u10809, tc_HOL_Obool)), _u10805), _u10813))) )).
% 13.06/13.32 cnf(matrix-5276, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10814, tc_fun(_u10815, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10814), _u10816), _u10817)), _u10818) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10815, tc_HOL_Obool)), hAPP(_u10818, _u10816)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10814, tc_fun(_u10815, tc_HOL_Obool)), _u10817), _u10818))) )).
% 13.06/13.32 cnf(matrix-5277, plain, ( ~c_Equiv__Relations_Oequiv(_u10819, _u10820, _u10821) | ~c_Equiv__Relations_Oequiv(_u10822, _u10823, _u10824) | ~c_Equiv__Relations_Ocongruent2(_u10819, _u10822, tc_fun(_u10825, tc_HOL_Obool), _u10821, _u10824, _u10826) | ~hBOOL(hAPP(hAPP(c_member(_u10822), _u10827), _u10823)) | c_Equiv__Relations_Ocongruent(_u10819, tc_fun(_u10825, tc_HOL_Obool), _u10821, hAPP(hAPP(c_COMBB(tc_fun(_u10822, tc_fun(_u10825, tc_HOL_Obool)), tc_fun(_u10825, tc_HOL_Obool), _u10819), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10822, tc_fun(_u10825, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10822, _u10822, _u10824), hAPP(hAPP(c_Set_Oinsert(_u10822), _u10827), c_Orderings_Obot__class_Obot(tc_fun(_u10822, tc_HOL_Obool)))))), _u10826)) )).
% 13.06/13.32 cnf(matrix-5278, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10828) = 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, _u10828)), 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)))))))) )).
% 13.06/13.32 cnf(matrix-5279, plain, ( ~c_Equiv__Relations_Oequiv(_u10829, _u10830, _u10831) | ~c_Equiv__Relations_Ocongruent(_u10829, tc_fun(_u10832, tc_HOL_Obool), _u10831, _u10833) | ~hBOOL(hAPP(hAPP(c_member(_u10829), _u10834), _u10830)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10829, tc_fun(_u10832, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10829, _u10829, _u10831), hAPP(hAPP(c_Set_Oinsert(_u10829), _u10834), c_Orderings_Obot__class_Obot(tc_fun(_u10829, tc_HOL_Obool))))), _u10833) = hAPP(_u10833, _u10834)) )).
% 13.06/13.32 cnf(matrix-5280, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10835), _u10836), _u10837)) | ~hBOOL(hAPP(hAPP(hAPP(_u10838, _u10836), _u10839), _u10840)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10835, tc_fun(_u10841, tc_fun(_u10842, tc_HOL_Obool))), _u10837), _u10838), _u10839), _u10840)) )).
% 13.06/13.32 cnf(matrix-5281, plain, ( ( hAPP(c_Int_ORep__Integ, _u10845) != hAPP(c_Int_ORep__Integ, _u10847)) | ( _u10845 = _u10847) )).
% 13.06/13.32 cnf(matrix-5282, plain, ( ( _u10846 != _u10848) | ( hAPP(c_Int_ORep__Integ, _u10846) = hAPP(c_Int_ORep__Integ, _u10848)) )).
% 13.06/13.32 cnf(matrix-5283, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10849)) = _u10849) )).
% 13.06/13.32 cnf(matrix-5284, plain, ( ~c_Equiv__Relations_Ocongruent(_u10850, _u10851, _u10852, _u10853) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10850, _u10850)), hAPP(hAPP(c_Product__Type_OPair(_u10850, _u10850), _u10854), _u10855)), _u10852)) | ( hAPP(_u10853, _u10854) = hAPP(_u10853, _u10855)) )).
% 13.06/13.32 cnf(matrix-5285, plain, ( ( hAPP(c_Int_Onat, _u10856) = 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, _u10856)), 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))))))) )).
% 13.06/13.32 cnf(matrix-5286, plain, ( ~c_Equiv__Relations_Oequiv(_u10857, _u10858, _u10859) | ~c_Equiv__Relations_Ocongruent2(_u10857, _u10860, _u10861, _u10859, _u10862, _u10863) | ~hBOOL(hAPP(hAPP(c_member(_u10857), _u10864), _u10858)) | c_Equiv__Relations_Ocongruent(_u10860, _u10861, _u10862, hAPP(_u10863, _u10864)) )).
% 13.06/13.32 cnf(matrix-5287, plain, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | hBOOL(hAPP(hAPP(c_member(_u10867), skolem176(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)), _u10868)) )).
% 13.06/13.32 cnf(matrix-5288, plain, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | hBOOL(hAPP(hAPP(c_member(_u10867), skolem177(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)), _u10868)) )).
% 13.06/13.32 cnf(matrix-5289, plain, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | ( hAPP(_u10871, skolem176(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)) = hAPP(_u10871, skolem177(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867))) )).
% 13.06/13.32 cnf(matrix-5290, plain, ( ~c_Equiv__Relations_Oequiv(_u10867, _u10868, _u10869) | ~c_Equiv__Relations_Ocongruent(_u10867, tc_fun(_u10870, tc_HOL_Obool), _u10869, _u10871) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10872), _u10871) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10867, tc_fun(_u10870, tc_HOL_Obool)), _u10873), _u10871)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10872), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10867, tc_HOL_Obool)), _u10873), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10867), _u10868), _u10869))) | ( _u10872 = _u10873) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10867, _u10867)), hAPP(hAPP(c_Product__Type_OPair(_u10867, _u10867), skolem176(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867)), skolem177(_u10873, _u10872, _u10871, _u10870, _u10869, _u10868, _u10867))), _u10869)) )).
% 13.06/13.32 cnf(matrix-5291, plain, ( ~c_Equiv__Relations_Oequiv(_u10876, _u10877, _u10878) | ~c_Equiv__Relations_Oequiv(_u10879, _u10880, _u10881) | ~c_Equiv__Relations_Ocongruent2(_u10876, _u10879, tc_fun(_u10882, tc_HOL_Obool), _u10878, _u10881, _u10883) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10876, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10876), _u10877), _u10878))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10879, tc_HOL_Obool)), _u10885), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10879), _u10880), _u10881))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10876, tc_fun(_u10882, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_COMBB(tc_fun(_u10879, tc_fun(_u10882, tc_HOL_Obool)), tc_fun(_u10882, tc_HOL_Obool), _u10876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10879, tc_fun(_u10882, tc_HOL_Obool)), _u10885)), _u10883))), _u10886)) | hBOOL(hAPP(hAPP(c_member(_u10876), skolem178(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876)), _u10877)) )).
% 13.06/13.32 cnf(matrix-5292, plain, ( ~c_Equiv__Relations_Oequiv(_u10876, _u10877, _u10878) | ~c_Equiv__Relations_Oequiv(_u10879, _u10880, _u10881) | ~c_Equiv__Relations_Ocongruent2(_u10876, _u10879, tc_fun(_u10882, tc_HOL_Obool), _u10878, _u10881, _u10883) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10876, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10876), _u10877), _u10878))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10879, tc_HOL_Obool)), _u10885), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10879), _u10880), _u10881))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10876, tc_fun(_u10882, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_COMBB(tc_fun(_u10879, tc_fun(_u10882, tc_HOL_Obool)), tc_fun(_u10882, tc_HOL_Obool), _u10876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10879, tc_fun(_u10882, tc_HOL_Obool)), _u10885)), _u10883))), _u10886)) | hBOOL(hAPP(hAPP(c_member(_u10879), skolem179(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876)), _u10880)) )).
% 13.06/13.32 cnf(matrix-5293, plain, ( ~c_Equiv__Relations_Oequiv(_u10876, _u10877, _u10878) | ~c_Equiv__Relations_Oequiv(_u10879, _u10880, _u10881) | ~c_Equiv__Relations_Ocongruent2(_u10876, _u10879, tc_fun(_u10882, tc_HOL_Obool), _u10878, _u10881, _u10883) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10876, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10876), _u10877), _u10878))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10879, tc_HOL_Obool)), _u10885), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10879), _u10880), _u10881))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10876, tc_fun(_u10882, tc_HOL_Obool)), _u10884), hAPP(hAPP(c_COMBB(tc_fun(_u10879, tc_fun(_u10882, tc_HOL_Obool)), tc_fun(_u10882, tc_HOL_Obool), _u10876), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10879, tc_fun(_u10882, tc_HOL_Obool)), _u10885)), _u10883))), _u10886)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10882, tc_HOL_Obool)), hAPP(hAPP(_u10883, skolem178(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876)), skolem179(_u10886, _u10885, _u10884, _u10883, _u10882, _u10881, _u10880, _u10879, _u10878, _u10877, _u10876))), _u10886)) )).
% 13.06/13.32 cnf(matrix-5294, plain, ( ~c_Equiv__Relations_Oequiv(_u10888, _u10889, _u10890) | ~c_Equiv__Relations_Ocongruent(_u10888, tc_fun(_u10891, tc_HOL_Obool), _u10890, _u10892) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10888, tc_HOL_Obool)), _u10893), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10888), _u10889), _u10890))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10891, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10888, tc_fun(_u10891, tc_HOL_Obool)), _u10893), _u10892)), _u10894)) | hBOOL(hAPP(hAPP(c_member(_u10888), skolem180(_u10894, _u10893, _u10892, _u10891, _u10890, _u10889, _u10888)), _u10889)) )).
% 13.06/13.32 cnf(matrix-5295, plain, ( ~c_Equiv__Relations_Oequiv(_u10888, _u10889, _u10890) | ~c_Equiv__Relations_Ocongruent(_u10888, tc_fun(_u10891, tc_HOL_Obool), _u10890, _u10892) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10888, tc_HOL_Obool)), _u10893), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10888), _u10889), _u10890))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10891, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10888, tc_fun(_u10891, tc_HOL_Obool)), _u10893), _u10892)), _u10894)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10891, tc_HOL_Obool)), hAPP(_u10892, skolem180(_u10894, _u10893, _u10892, _u10891, _u10890, _u10889, _u10888))), _u10894)) )).
% 13.06/13.32 cnf(matrix-5296, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10904, tc_fun(_u10906, tc_fun(_u10908, tc_HOL_Obool))), _u10910), _u10912), _u10914), _u10916)) | hBOOL(hAPP(hAPP(c_member(_u10904), skolem181(_u10916, _u10914, _u10912, _u10910, _u10908, _u10906, _u10904)), _u10910)) )).
% 13.06/13.32 cnf(matrix-5297, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10904, tc_fun(_u10906, tc_fun(_u10908, tc_HOL_Obool))), _u10910), _u10912), _u10914), _u10916)) | hBOOL(hAPP(hAPP(hAPP(_u10912, skolem181(_u10916, _u10914, _u10912, _u10910, _u10908, _u10906, _u10904)), _u10914), _u10916)) )).
% 13.06/13.32 cnf(matrix-5298, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10905), _u10896), _u10911)) | ~hBOOL(hAPP(hAPP(hAPP(_u10913, _u10896), _u10915), _u10917)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10905, tc_fun(_u10907, tc_fun(_u10909, tc_HOL_Obool))), _u10911), _u10913), _u10915), _u10917)) )).
% 13.06/13.32 cnf(matrix-5299, plain, ( ( c_Relation_OId__on(_u10918, _u10919) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10918, tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool)), _u10919), hAPP(hAPP(c_COMBC(_u10918, tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool), tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10918, _u10918), tc_fun(tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool), tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool)), _u10918), c_Set_Oinsert(tc_prod(_u10918, _u10918))), hAPP(hAPP(c_COMBS(_u10918, _u10918, tc_prod(_u10918, _u10918)), c_Product__Type_OPair(_u10918, _u10918)), c_COMBI(_u10918)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10918, _u10918), tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5300, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10921), _u10922)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10921), _u10923)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10921, tc_HOL_Obool)), _u10922), _u10923) != c_Orderings_Obot__class_Obot(tc_fun(_u10921, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10920, _u10921, c_Groups_Otimes__class_Otimes(_u10920)), _u10924), c_Groups_Oone__class_Oone(_u10920)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10921, tc_HOL_Obool)), _u10922), _u10923)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10920), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10920, _u10921, c_Groups_Otimes__class_Otimes(_u10920)), _u10924), c_Groups_Oone__class_Oone(_u10920)), _u10922)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10920, _u10921, c_Groups_Otimes__class_Otimes(_u10920)), _u10924), c_Groups_Oone__class_Oone(_u10920)), _u10923))) )).
% 13.06/13.32 cnf(matrix-5301, plain, ( ~class_Orderings_Olinorder(_u10927) | ( hAPP(_u10928, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10927), skolem182(_u10929, _u10928, _u10927)), skolem183(_u10929, _u10928, _u10927))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10927), hAPP(_u10928, skolem182(_u10929, _u10928, _u10927))), hAPP(_u10928, skolem183(_u10929, _u10928, _u10927)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10927), _u10929)) | ( _u10929 = c_Orderings_Obot__class_Obot(tc_fun(_u10927, tc_HOL_Obool))) | ( hAPP(_u10928, c_Big__Operators_Olattice_OSup__fin(_u10927, c_Orderings_Oord__class_Omax(_u10927), _u10929)) = c_Big__Operators_Olattice_OSup__fin(_u10927, c_Orderings_Oord__class_Omax(_u10927), hAPP(c_Set_Oimage(_u10927, _u10927, _u10928), _u10929))) )).
% 13.06/13.32 cnf(matrix-5302, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10930, _u10931, _u10932), _u10933), _u10934), c_Orderings_Obot__class_Obot(tc_fun(_u10931, tc_HOL_Obool))) = _u10934) )).
% 13.06/13.32 cnf(matrix-5303, plain, ( ( c_Relation_OId__on(_u10935, _u10936) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10935, _u10935, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10935, tc_HOL_Obool, tc_fun(_u10935, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10935, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10935, tc_HOL_Obool)), _u10935), c_COMBC(_u10935, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10935, tc_HOL_Obool), tc_fun(_u10935, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10935), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10935), c_fconj)), c_fequal))), _u10936))) )).
% 13.06/13.32 cnf(matrix-5304, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u10937, _u10938, _u10939, _u10940, _u10941, _u10942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10938), _u10943)) | ( hAPP(_u10942, _u10943) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10937, _u10938, _u10939), _u10941), _u10940), _u10943)) )).
% 13.06/13.32 cnf(matrix-5305, plain, ( ( c_Relation_OId__on(_u10944, c_Orderings_Obot__class_Obot(tc_fun(_u10944, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10944, _u10944), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5306, plain, ( ( hAPP(c_Relation_OImage(_u10945, _u10945, c_Relation_OId__on(_u10945, _u10946)), _u10947) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10945, tc_HOL_Obool)), _u10946), _u10947)) )).
% 13.06/13.32 cnf(matrix-5307, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10949), _u10950)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10948, _u10949, c_Groups_Otimes__class_Otimes(_u10948)), hAPP(hAPP(c_COMBS(_u10949, _u10948, _u10948), hAPP(hAPP(c_COMBB(_u10948, tc_fun(_u10948, _u10948), _u10949), c_Groups_Otimes__class_Otimes(_u10948)), _u10951)), _u10952)), c_Groups_Oone__class_Oone(_u10948)), _u10950) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10948), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10948, _u10949, c_Groups_Otimes__class_Otimes(_u10948)), _u10951), c_Groups_Oone__class_Oone(_u10948)), _u10950)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10948, _u10949, c_Groups_Otimes__class_Otimes(_u10948)), _u10952), c_Groups_Oone__class_Oone(_u10948)), _u10950))) )).
% 13.06/13.32 cnf(matrix-5308, plain, ( ~class_Groups_Oab__semigroup__mult(_u10953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10954), _u10955)) | hBOOL(hAPP(hAPP(c_member(_u10954), _u10956), _u10955)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10953, _u10954, c_Groups_Otimes__class_Otimes(_u10953)), _u10957), _u10958), hAPP(hAPP(c_Set_Oinsert(_u10954), _u10956), _u10955)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10953), hAPP(_u10957, _u10956)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10953, _u10954, c_Groups_Otimes__class_Otimes(_u10953)), _u10957), _u10958), _u10955))) )).
% 13.06/13.32 cnf(matrix-5309, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10960), _u10961)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10960, _u10959), _u10962), _u10961) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10959, _u10960, c_Groups_Otimes__class_Otimes(_u10959)), _u10962), c_Groups_Oone__class_Oone(_u10959)), _u10961)) )).
% 13.06/13.32 cnf(matrix-5310, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10959) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10960), _u10961)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10960, _u10959), _u10962), _u10961) = c_Groups_Oone__class_Oone(_u10959)) )).
% 13.06/13.32 cnf(matrix-5311, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10963) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10964), _u10965)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10964, _u10963), _u10966), _u10965) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10963, _u10964, c_Groups_Otimes__class_Otimes(_u10963)), _u10966), c_Groups_Oone__class_Oone(_u10963)), _u10965)) )).
% 13.06/13.32 cnf(matrix-5312, plain, ( ( _u10967 != _u10968) | ~hBOOL(hAPP(hAPP(c_member(_u10969), _u10967), _u10970)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10969, _u10969)), hAPP(hAPP(c_Product__Type_OPair(_u10969, _u10969), _u10967), _u10968)), c_Relation_OId__on(_u10969, _u10970))) )).
% 13.06/13.32 cnf(matrix-5313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10975, _u10975)), hAPP(hAPP(c_Product__Type_OPair(_u10975, _u10975), _u10977), _u10979)), c_Relation_OId__on(_u10975, _u10981))) | ( _u10977 = _u10979) )).
% 13.06/13.32 cnf(matrix-5314, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10975, _u10975)), hAPP(hAPP(c_Product__Type_OPair(_u10975, _u10975), _u10977), _u10979)), c_Relation_OId__on(_u10975, _u10981))) | hBOOL(hAPP(hAPP(c_member(_u10975), _u10977), _u10981)) )).
% 13.06/13.32 cnf(matrix-5315, plain, ( ( _u10978 != _u10980) | ~hBOOL(hAPP(hAPP(c_member(_u10976), _u10978), _u10982)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10976, _u10976)), hAPP(hAPP(c_Product__Type_OPair(_u10976, _u10976), _u10978), _u10980)), c_Relation_OId__on(_u10976, _u10982))) )).
% 13.06/13.32 cnf(matrix-5316, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10984), _u10985)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10984), _u10986)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10983), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), _u10985)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), _u10986)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10983), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10984, tc_HOL_Obool)), _u10985), _u10986))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10983, _u10984, c_Groups_Otimes__class_Otimes(_u10983)), _u10987), c_Groups_Oone__class_Oone(_u10983)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10984, tc_HOL_Obool)), _u10985), _u10986)))) )).
% 13.06/13.32 cnf(matrix-5317, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10988), _u10989)) | ( hAPP(c_Set_Oimage(_u10988, _u10990, _u10991), _u10989) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u10990, tc_HOL_Obool), _u10988, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10990, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10988, tc_fun(_u10990, tc_HOL_Obool), tc_fun(_u10990, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10990, tc_fun(tc_fun(_u10990, tc_HOL_Obool), tc_fun(_u10990, tc_HOL_Obool)), _u10988), c_Set_Oinsert(_u10990)), _u10991)), c_Orderings_Obot__class_Obot(tc_fun(_u10990, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u10990, tc_HOL_Obool))), _u10989)) )).
% 13.06/13.32 cnf(matrix-5318, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10994), _u10996)) | ( hAPP(c_Finite__Set_Ocard(_u10994), _u10996) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10994, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10994), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10996)) )).
% 13.06/13.32 cnf(matrix-5319, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10995), _u10997)) | ( hAPP(c_Finite__Set_Ocard(_u10995), _u10997) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5320, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10998), _u10999)) | ( hAPP(c_Finite__Set_Ocard(_u10998), _u10999) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10998, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10998), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10999)) )).
% 13.06/13.32 cnf(matrix-5321, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u11000, _u11001, _u11002, _u11003, _u11004) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11001), _u11005)) | ( hAPP(hAPP(_u11004, _u11006), _u11005) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11000, _u11001, _u11002), _u11006), _u11003), _u11005)) )).
% 13.06/13.32 cnf(matrix-5322, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u11000, _u11001, _u11002, _u11003, _u11004) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11001), _u11005)) | ( hAPP(hAPP(_u11004, _u11006), _u11005) = _u11003) )).
% 13.06/13.32 cnf(matrix-5323, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11010)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11009, tc_HOL_Obool)), _u11010), _u11011)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11008), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11010)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11011))) | hBOOL(hAPP(hAPP(c_member(_u11009), skolem184(_u11012, _u11011, _u11010, _u11009, _u11008)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11009, tc_HOL_Obool)), _u11010), _u11011))) )).
% 13.06/13.32 cnf(matrix-5324, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11010)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11009), _u11011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11009, tc_HOL_Obool)), _u11010), _u11011)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11008), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11010)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11008, _u11009, c_Groups_Otimes__class_Otimes(_u11008)), _u11012), c_Groups_Oone__class_Oone(_u11008)), _u11011))) | ( hAPP(_u11012, skolem184(_u11012, _u11011, _u11010, _u11009, _u11008)) != c_Groups_Oone__class_Oone(_u11008)) )).
% 13.06/13.32 cnf(matrix-5325, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11014, _u11014)), _u11015), c_Relation_OId__on(_u11014, _u11016))) | hBOOL(hAPP(hAPP(c_member(_u11014), skolem185(_u11016, _u11015, _u11014)), _u11016)) )).
% 13.06/13.32 cnf(matrix-5326, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11014, _u11014)), _u11015), c_Relation_OId__on(_u11014, _u11016))) | ( _u11015 = hAPP(hAPP(c_Product__Type_OPair(_u11014, _u11014), skolem185(_u11016, _u11015, _u11014)), skolem185(_u11016, _u11015, _u11014))) )).
% 13.06/13.32 cnf(matrix-5327, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11018), _u11022)) | ( hAPP(hAPP(_u11021, _u11023), _u11022) = _u11020) | ~c_Big__Operators_Ocomm__monoid__big(_u11017, _u11018, _u11019, _u11020, _u11021) )).
% 13.06/13.32 cnf(matrix-5328, plain, ( ~class_Orderings_Olinorder(_u11026) | ( hAPP(_u11027, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11026), skolem186(_u11028, _u11027, _u11026)), skolem187(_u11028, _u11027, _u11026))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11026), hAPP(_u11027, skolem186(_u11028, _u11027, _u11026))), hAPP(_u11027, skolem187(_u11028, _u11027, _u11026)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11026), _u11028)) | ( _u11028 = c_Orderings_Obot__class_Obot(tc_fun(_u11026, tc_HOL_Obool))) | ( hAPP(_u11027, c_Big__Operators_Olattice_OInf__fin(_u11026, c_Orderings_Oord__class_Omin(_u11026), _u11028)) = c_Big__Operators_Olattice_OInf__fin(_u11026, c_Orderings_Oord__class_Omin(_u11026), hAPP(c_Set_Oimage(_u11026, _u11026, _u11027), _u11028))) )).
% 13.06/13.32 cnf(matrix-5329, plain, ( ~class_Orderings_Olinorder(_u11031) | ( hAPP(_u11032, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11031), skolem188(_u11033, _u11032, _u11031)), skolem189(_u11033, _u11032, _u11031))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11031), hAPP(_u11032, skolem188(_u11033, _u11032, _u11031))), hAPP(_u11032, skolem189(_u11033, _u11032, _u11031)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11031), _u11033)) | ( _u11033 = c_Orderings_Obot__class_Obot(tc_fun(_u11031, tc_HOL_Obool))) | ( hAPP(_u11032, c_Big__Operators_Olinorder__class_OMax(_u11031, _u11033)) = c_Big__Operators_Olinorder__class_OMax(_u11031, hAPP(c_Set_Oimage(_u11031, _u11031, _u11032), _u11033))) )).
% 13.06/13.32 cnf(matrix-5330, plain, ( ~class_Orderings_Olinorder(_u11036) | ( hAPP(_u11037, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11036), skolem190(_u11038, _u11037, _u11036)), skolem191(_u11038, _u11037, _u11036))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11036), hAPP(_u11037, skolem190(_u11038, _u11037, _u11036))), hAPP(_u11037, skolem191(_u11038, _u11037, _u11036)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11036), _u11038)) | ( _u11038 = c_Orderings_Obot__class_Obot(tc_fun(_u11036, tc_HOL_Obool))) | ( hAPP(_u11037, c_Big__Operators_Olinorder__class_OMin(_u11036, _u11038)) = c_Big__Operators_Olinorder__class_OMin(_u11036, hAPP(c_Set_Oimage(_u11036, _u11036, _u11037), _u11038))) )).
% 13.06/13.32 cnf(matrix-5331, plain, ( ~class_Lattices_Olattice(_u11041) | ( hAPP(_u11042, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11041), skolem192(_u11043, _u11042, _u11041)), skolem193(_u11043, _u11042, _u11041))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11041), hAPP(_u11042, skolem192(_u11043, _u11042, _u11041))), hAPP(_u11042, skolem193(_u11043, _u11042, _u11041)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11041), _u11043)) | ( _u11043 = c_Orderings_Obot__class_Obot(tc_fun(_u11041, tc_HOL_Obool))) | ( hAPP(_u11042, c_Big__Operators_Olattice__class_OInf__fin(_u11041, _u11043)) = c_Big__Operators_Olattice__class_OInf__fin(_u11041, hAPP(c_Set_Oimage(_u11041, _u11041, _u11042), _u11043))) )).
% 13.06/13.32 cnf(matrix-5332, plain, ( ~class_Lattices_Olattice(_u11046) | ( hAPP(_u11047, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11046), skolem194(_u11048, _u11047, _u11046)), skolem195(_u11048, _u11047, _u11046))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11046), hAPP(_u11047, skolem194(_u11048, _u11047, _u11046))), hAPP(_u11047, skolem195(_u11048, _u11047, _u11046)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11046), _u11048)) | ( _u11048 = c_Orderings_Obot__class_Obot(tc_fun(_u11046, tc_HOL_Obool))) | ( hAPP(_u11047, c_Big__Operators_Olattice__class_OSup__fin(_u11046, _u11048)) = c_Big__Operators_Olattice__class_OSup__fin(_u11046, hAPP(c_Set_Oimage(_u11046, _u11046, _u11047), _u11048))) )).
% 13.06/13.32 cnf(matrix-5333, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11051), _u11052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11051, tc_HOL_Obool)), _u11053), _u11052)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11052) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11053)) | hBOOL(hAPP(hAPP(c_member(_u11051), skolem196(_u11054, _u11053, _u11052, _u11051, _u11050)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11051, tc_HOL_Obool)), _u11052), _u11053))) )).
% 13.06/13.32 cnf(matrix-5334, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11051), _u11052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11051, tc_HOL_Obool)), _u11053), _u11052)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11052) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11051, _u11050), _u11054), _u11053)) | ( hAPP(_u11054, skolem196(_u11054, _u11053, _u11052, _u11051, _u11050)) != c_Groups_Oone__class_Oone(_u11050)) )).
% 13.06/13.32 cnf(matrix-5335, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11057), _u11058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11057, tc_HOL_Obool)), _u11059), _u11058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11059) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11058)) | hBOOL(hAPP(hAPP(c_member(_u11057), skolem197(_u11060, _u11059, _u11058, _u11057, _u11056)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11057, tc_HOL_Obool)), _u11058), _u11059))) )).
% 13.06/13.32 cnf(matrix-5336, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11057), _u11058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11057, tc_HOL_Obool)), _u11059), _u11058)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11059) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11057, _u11056), _u11060), _u11058)) | ( hAPP(_u11060, skolem197(_u11060, _u11059, _u11058, _u11057, _u11056)) != c_Groups_Oone__class_Oone(_u11056)) )).
% 13.06/13.32 cnf(matrix-5337, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11061), _u11062)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11061, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11061), _u11062)) = 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(_u11061), _u11062))) )).
% 13.06/13.32 cnf(matrix-5338, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), skolem199(_u11067, _u11066, _u11065))) )).
% 13.06/13.32 cnf(matrix-5339, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u11065), skolem198(_u11067, _u11066, _u11065)), skolem199(_u11067, _u11066, _u11065))) )).
% 13.06/13.32 cnf(matrix-5340, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | hBOOL(hAPP(_u11067, skolem199(_u11067, _u11066, _u11065))) )).
% 13.06/13.32 cnf(matrix-5341, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11065), _u11066)) | ~hBOOL(hAPP(_u11067, _u11066)) | hBOOL(hAPP(_u11067, c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u11067, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11065, tc_HOL_Obool)), skolem199(_u11067, _u11066, _u11065)), hAPP(hAPP(c_Set_Oinsert(_u11065), skolem198(_u11067, _u11066, _u11065)), c_Orderings_Obot__class_Obot(tc_fun(_u11065, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-5342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11068, tc_HOL_Obool)), _u11069), _u11070)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11068, tc_HOL_Obool)), _u11069), hAPP(c_Set_OPow(_u11068), _u11070))) )).
% 13.06/13.32 cnf(matrix-5343, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11071, tc_HOL_Obool)), _u11072), hAPP(c_Set_OPow(_u11071), _u11072))) )).
% 13.06/13.32 cnf(matrix-5344, plain, ( ( hAPP(c_Set_Oimage(_u11073, _u11074, _u11075), _u11076) != _u11077) | ( hAPP(c_Set_Oimage(tc_fun(_u11073, tc_HOL_Obool), tc_fun(_u11074, tc_HOL_Obool), c_Set_Oimage(_u11073, _u11074, _u11075)), hAPP(c_Set_OPow(_u11073), _u11076)) = hAPP(c_Set_OPow(_u11074), _u11077)) )).
% 13.06/13.32 cnf(matrix-5345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11078, tc_HOL_Obool)), _u11079), _u11080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11078, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11078), _u11079)), hAPP(c_Set_OPow(_u11078), _u11080))) )).
% 13.06/13.32 cnf(matrix-5346, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11081, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11081, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11081), _u11082)), hAPP(c_Set_OPow(_u11081), _u11083))), hAPP(c_Set_OPow(_u11081), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11081, tc_HOL_Obool)), _u11082), _u11083)))) )).
% 13.06/13.32 cnf(matrix-5347, plain, ( ( hAPP(c_Set_OPow(_u11084), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11084, tc_HOL_Obool)), _u11085), _u11086)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u11084, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11084), _u11085)), hAPP(c_Set_OPow(_u11084), _u11086))) )).
% 13.06/13.32 cnf(matrix-5348, plain, ( ( hAPP(c_Set_OPow(_u11087), hAPP(hAPP(c_Set_Oinsert(_u11087), _u11088), _u11089)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u11087, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u11087), _u11089)), hAPP(c_Set_Oimage(tc_fun(_u11087, tc_HOL_Obool), tc_fun(_u11087, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u11087), _u11088)), hAPP(c_Set_OPow(_u11087), _u11089)))) )).
% 13.06/13.32 cnf(matrix-5349, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11092, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11092), _u11094))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11092), _u11094)) )).
% 13.06/13.32 cnf(matrix-5350, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11095)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11093, tc_HOL_Obool)), hAPP(c_Set_OPow(_u11093), _u11095))) )).
% 13.06/13.32 cnf(matrix-5351, plain, ( ( hAPP(c_Set_OPow(_u11096), _u11097) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11096, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5352, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u11098, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11098, tc_HOL_Obool))), hAPP(c_Set_OPow(_u11098), _u11099))) )).
% 13.06/13.32 cnf(matrix-5353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11100, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11101, _u11100, _u11102), _u11103)), _u11104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11100, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u11101, tc_HOL_Obool), tc_fun(_u11100, tc_HOL_Obool), c_Set_Oimage(_u11101, _u11100, _u11102)), hAPP(c_Set_OPow(_u11101), _u11103))), hAPP(c_Set_OPow(_u11100), _u11104))) )).
% 13.06/13.32 cnf(matrix-5354, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11105, tc_HOL_Obool)), _u11106), hAPP(c_Set_OPow(_u11105), _u11107))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11105, tc_HOL_Obool)), _u11106), _u11107)) )).
% 13.06/13.32 cnf(matrix-5355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11111, tc_HOL_Obool)), _u11113), hAPP(c_Set_OPow(_u11111), _u11115))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11111, tc_HOL_Obool)), _u11113), _u11115)) )).
% 13.06/13.32 cnf(matrix-5356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11112, tc_HOL_Obool)), _u11114), _u11116)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11112, tc_HOL_Obool)), _u11114), hAPP(c_Set_OPow(_u11112), _u11116))) )).
% 13.06/13.32 cnf(matrix-5357, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11117, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11118, tc_fun(tc_fun(_u11117, tc_HOL_Obool), tc_HOL_Obool)), _u11119), hAPP(hAPP(c_COMBB(tc_fun(_u11117, tc_HOL_Obool), tc_fun(tc_fun(_u11117, tc_HOL_Obool), tc_HOL_Obool), _u11118), c_Set_OPow(_u11117)), _u11120))), hAPP(c_Set_OPow(_u11117), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11118, tc_fun(_u11117, tc_HOL_Obool)), _u11119), _u11120)))) )).
% 13.06/13.32 cnf(matrix-5358, plain, ( ( hAPP(c_Set_OPow(_u11121), c_Orderings_Obot__class_Obot(tc_fun(_u11121, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11121, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11121, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11121, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5359, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u11125, hAPP(hAPP(c_COMBC(_u11125, tc_fun(_u11125, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11125)), _u11127)), _u11129)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11125, tc_HOL_Obool)), _u11129), hAPP(c_Set_OPow(_u11125), _u11127))) )).
% 13.06/13.32 cnf(matrix-5360, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11126, tc_HOL_Obool)), _u11130), hAPP(c_Set_OPow(_u11126), _u11128))) | hBOOL(hAPP(c_Predicate_OPowp(_u11126, hAPP(hAPP(c_COMBC(_u11126, tc_fun(_u11126, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11126)), _u11128)), _u11130)) )).
% 13.06/13.32 cnf(matrix-5361, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11131), _u11132)) | ~c_Fun_Oinj__on(_u11131, tc_fun(tc_fun(_u11131, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11131, tc_fun(tc_prod(_u11131, _u11131), tc_HOL_Obool), tc_fun(tc_fun(_u11131, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11131, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11131, _u11131), tc_HOL_Obool), tc_fun(tc_fun(_u11131, tc_HOL_Obool), tc_HOL_Obool)), _u11131), c_Equiv__Relations_Oquotient(_u11131)), hAPP(hAPP(c_COMBC(_u11131, tc_fun(_u11131, tc_HOL_Obool), tc_fun(_u11131, tc_HOL_Obool)), c_Set_Oinsert(_u11131)), c_Orderings_Obot__class_Obot(tc_fun(_u11131, tc_HOL_Obool))))), _u11133), _u11132) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11131, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11131), _u11132), _u11133)) = hAPP(c_Finite__Set_Ocard(_u11131), _u11132)) )).
% 13.06/13.32 cnf(matrix-5362, plain, ( ~class_Orderings_Olinorder(_u11134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11134), _u11135), _u11136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11134), _u11136), _u11137)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11134, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11134, _u11135, _u11136)), c_SetInterval_Oord__class_OatLeastAtMost(_u11134, _u11136, _u11137)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11134, _u11135, _u11137)) )).
% 13.06/13.32 cnf(matrix-5363, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11138, _u11139))) )).
% 13.06/13.32 cnf(matrix-5364, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11140, _u11141))) )).
% 13.06/13.32 cnf(matrix-5365, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11142, _u11143)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11142), hAPP(c_Nat_OSuc, _u11143))) )).
% 13.06/13.32 cnf(matrix-5366, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11144, _u11145) = 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), _u11144), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11145)))) )).
% 13.06/13.32 cnf(matrix-5367, 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)), _u11146)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11147, _u11148)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11147), _u11146), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11148), _u11146))) )).
% 13.06/13.32 cnf(matrix-5368, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11149), hAPP(c_Set_Oimage(_u11150, _u11149, _u11151), _u11152))) | ~c_Fun_Oinj__on(_u11150, _u11149, _u11151, _u11152) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11150), _u11152)) )).
% 13.06/13.32 cnf(matrix-5369, plain, ( ~c_Fun_Oinj__on(_u11153, _u11154, _u11155, _u11156) | ( hAPP(c_Finite__Set_Ocard(_u11154), hAPP(c_Set_Oimage(_u11153, _u11154, _u11155), _u11156)) = hAPP(c_Finite__Set_Ocard(_u11153), _u11156)) )).
% 13.06/13.32 cnf(matrix-5370, plain, ( ~c_Nat__Transfer_Ois__nat(_u11157) | ~c_Nat__Transfer_Ois__nat(_u11158) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11157, _u11158) = 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, _u11157), hAPP(c_Int_Onat, _u11158)))) )).
% 13.06/13.32 cnf(matrix-5371, plain, ( ~c_Nat__Transfer_Ois__nat(_u11159) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11159, _u11160)) )).
% 13.06/13.32 cnf(matrix-5372, plain, ( ~class_Orderings_Oorder(_u11161) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11161, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u11161, _u11162, _u11163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11161), _u11162), _u11163)) )).
% 13.06/13.32 cnf(matrix-5373, plain, ( ~class_Orderings_Oorder(_u11161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11161), _u11162), _u11163)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11161, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11161, _u11162, _u11163)) )).
% 13.06/13.32 cnf(matrix-5374, plain, ( ~class_Orderings_Oorder(_u11164) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11164, _u11165, _u11166) != c_Orderings_Obot__class_Obot(tc_fun(_u11164, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11164), _u11165), _u11166)) )).
% 13.06/13.32 cnf(matrix-5375, plain, ( ~class_Orderings_Oorder(_u11164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11164), _u11165), _u11166)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11164, _u11165, _u11166) = c_Orderings_Obot__class_Obot(tc_fun(_u11164, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5376, plain, ( ~class_Orderings_Oorder(_u11167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11167), _u11168), _u11169)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11167, _u11169, _u11168) = c_Orderings_Obot__class_Obot(tc_fun(_u11167, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5377, plain, ( ~class_Orderings_Oorder(_u11170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11171), _u11172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11173), _u11171)) )).
% 13.06/13.32 cnf(matrix-5378, plain, ( ~class_Orderings_Oorder(_u11170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11171), _u11172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11172), _u11174)) )).
% 13.06/13.32 cnf(matrix-5379, plain, ( ~class_Orderings_Oorder(_u11170) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11171), _u11172)) )).
% 13.06/13.32 cnf(matrix-5380, plain, ( ~class_Orderings_Oorder(_u11170) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11170, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11171, _u11172)), c_SetInterval_Oord__class_OatLeastAtMost(_u11170, _u11173, _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11173), _u11171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11170), _u11172), _u11174)) )).
% 13.06/13.32 cnf(matrix-5381, plain, ( ~class_Orderings_Oorder(_u11175) | ( _u11176 != _u11177) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11175, _u11176, _u11177) = hAPP(hAPP(c_Set_Oinsert(_u11175), _u11176), c_Orderings_Obot__class_Obot(tc_fun(_u11175, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5382, plain, ( ~class_Orderings_Oorder(_u11178) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11178, _u11179, _u11180) != hAPP(hAPP(c_Set_Oinsert(_u11178), _u11181), c_Orderings_Obot__class_Obot(tc_fun(_u11178, tc_HOL_Obool)))) | ( _u11179 = _u11180) )).
% 13.06/13.32 cnf(matrix-5383, plain, ( ~class_Orderings_Oorder(_u11178) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11178, _u11179, _u11180) != hAPP(hAPP(c_Set_Oinsert(_u11178), _u11181), c_Orderings_Obot__class_Obot(tc_fun(_u11178, tc_HOL_Obool)))) | ( _u11180 = _u11181) )).
% 13.06/13.32 cnf(matrix-5384, plain, ( ~class_Orderings_Oorder(_u11178) | ( _u11179 != _u11180) | ( _u11180 != _u11181) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11178, _u11179, _u11180) = hAPP(hAPP(c_Set_Oinsert(_u11178), _u11181), c_Orderings_Obot__class_Obot(tc_fun(_u11178, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5385, plain, ( ~class_Orderings_Oorder(_u11182) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u11182, _u11183, _u11183) = hAPP(hAPP(c_Set_Oinsert(_u11182), _u11183), c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5386, plain, ( ~class_Groups_Oordered__ab__group__add(_u11184) | ( hAPP(c_Set_Oimage(_u11184, _u11184, c_Groups_Ouminus__class_Ouminus(_u11184)), c_SetInterval_Oord__class_OatLeastAtMost(_u11184, _u11185, _u11186)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11184, hAPP(c_Groups_Ouminus__class_Ouminus(_u11184), _u11186), hAPP(c_Groups_Ouminus__class_Ouminus(_u11184), _u11185))) )).
% 13.06/13.32 cnf(matrix-5387, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11187), _u11188) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11187, _u11188)) )).
% 13.06/13.32 cnf(matrix-5388, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11189), _u11190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11189, tc_HOL_Obool)), _u11190), hAPP(c_Set_Oimage(_u11189, _u11189, _u11191), _u11190))) | c_Fun_Oinj__on(_u11189, _u11189, _u11191, _u11190) )).
% 13.06/13.32 cnf(matrix-5389, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11192), _u11193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11192, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11192, _u11192, _u11194), _u11193)), _u11193)) | ~c_Fun_Oinj__on(_u11192, _u11192, _u11194, _u11193) | ( hAPP(c_Set_Oimage(_u11192, _u11192, _u11194), _u11193) = _u11193) )).
% 13.06/13.32 cnf(matrix-5390, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11195), _u11196)) | ( hAPP(c_Finite__Set_Ocard(_u11197), hAPP(c_Set_Oimage(_u11195, _u11197, _u11198), _u11196)) != hAPP(c_Finite__Set_Ocard(_u11195), _u11196)) | c_Fun_Oinj__on(_u11195, _u11197, _u11198, _u11196) )).
% 13.06/13.32 cnf(matrix-5391, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11199), _u11200)) | ~c_Fun_Oinj__on(_u11199, _u11201, _u11202, _u11200) | ( hAPP(c_Finite__Set_Ocard(_u11201), hAPP(c_Set_Oimage(_u11199, _u11201, _u11202), _u11200)) = hAPP(c_Finite__Set_Ocard(_u11199), _u11200)) )).
% 13.06/13.32 cnf(matrix-5392, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11199), _u11200)) | ( hAPP(c_Finite__Set_Ocard(_u11201), hAPP(c_Set_Oimage(_u11199, _u11201, _u11202), _u11200)) != hAPP(c_Finite__Set_Ocard(_u11199), _u11200)) | c_Fun_Oinj__on(_u11199, _u11201, _u11202, _u11200) )).
% 13.06/13.32 cnf(matrix-5393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11203), hAPP(c_Set_Oimage(_u11204, _u11203, _u11205), _u11206))), hAPP(c_Finite__Set_Ocard(_u11204), _u11206))) | ~c_Fun_Oinj__on(_u11204, _u11203, _u11205, _u11206) )).
% 13.06/13.32 cnf(matrix-5394, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11207)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11207, _u11208)) )).
% 13.06/13.32 cnf(matrix-5395, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11209, _u11210)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11210)), _u11209)) )).
% 13.06/13.32 cnf(matrix-5396, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11211), hAPP(c_Nat_OSuc, _u11212))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11211, hAPP(c_Nat_OSuc, _u11212)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11212)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11211, _u11212))) )).
% 13.06/13.32 cnf(matrix-5397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11213, tc_HOL_Obool)), _u11214), _u11215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u11213, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u11213, _u11214)), c_Predicate_OPowp(_u11213, _u11215))) )).
% 13.06/13.32 cnf(matrix-5398, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11216), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11217) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u11216, _u11217)) )).
% 13.06/13.32 cnf(matrix-5399, plain, ( ~c_Fun_Oinj__on(_u11218, _u11219, _u11220, _u11221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11218, _u11219, _u11220), _u11221)), _u11222)) | ~c_Fun_Oinj__on(_u11219, _u11218, _u11223, _u11222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11218, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11219, _u11218, _u11223), _u11222)), _u11221)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11218), _u11221)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11219), _u11222)) | ( hAPP(c_Finite__Set_Ocard(_u11218), _u11221) = hAPP(c_Finite__Set_Ocard(_u11219), _u11222)) )).
% 13.06/13.32 cnf(matrix-5400, plain, ( ~class_Orderings_Olinorder(_u11224) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11224, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11224, _u11225, _u11226)), c_SetInterval_Oord__class_OatLeastAtMost(_u11224, _u11227, _u11228)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11224, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11224), _u11225), _u11227), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11224), _u11226), _u11228))) )).
% 13.06/13.32 cnf(matrix-5401, plain, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11230)) )).
% 13.06/13.32 cnf(matrix-5402, plain, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11231), _u11233)) )).
% 13.06/13.32 cnf(matrix-5403, plain, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11232), _u11230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11231), _u11233)) )).
% 13.06/13.32 cnf(matrix-5404, plain, ( ~class_Orderings_Oorder(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) )).
% 13.06/13.32 cnf(matrix-5405, plain, ( ~class_Orderings_Oorder(_u11229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11230), _u11231)) )).
% 13.06/13.32 cnf(matrix-5406, plain, ( ~class_Orderings_Oorder(_u11229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11231), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11232), _u11230)) )).
% 13.06/13.32 cnf(matrix-5407, plain, ( ~class_Orderings_Oorder(_u11229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11229, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11230, _u11231)), c_SetInterval_Oord__class_OatLeastAtMost(_u11229, _u11232, _u11233))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11232), _u11230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11229), _u11231), _u11233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11229), _u11231), _u11233)) )).
% 13.06/13.32 cnf(matrix-5408, plain, ( ~class_Orderings_Olinorder(_u11234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11235), _u11236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11236), _u11237)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11234, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11234, _u11235, _u11236)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11234, _u11236, _u11237)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11234, _u11235, _u11237)) )).
% 13.06/13.32 cnf(matrix-5409, plain, ( ~class_Orderings_Oorder(_u11238) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11238, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11238, _u11239, _u11240)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11238, _u11240, _u11241)) = c_Orderings_Obot__class_Obot(tc_fun(_u11238, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5410, plain, ( ~class_Orderings_Oorder(_u11242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11242, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11242, _u11243, _u11244)), c_SetInterval_Oord__class_OatLeastAtMost(_u11242, _u11244, _u11245)) = c_Orderings_Obot__class_Obot(tc_fun(_u11242, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5411, plain, ( ~class_Orderings_Oorder(_u11246) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11246, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11246, _u11247, _u11248)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11246, _u11248, _u11249)) = c_Orderings_Obot__class_Obot(tc_fun(_u11246, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11252), _u11254)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11254, _u11252) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5413, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11253), _u11255)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11255, _u11253) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u11255), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11255), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11253))) )).
% 13.06/13.32 cnf(matrix-5414, plain, ( ~c_Fun_Oinj__on(_u11256, _u11257, _u11258, _u11259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11257, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11256, _u11257, _u11258), _u11259)), _u11260)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11257), _u11260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11256), _u11259)), hAPP(c_Finite__Set_Ocard(_u11257), _u11260))) )).
% 13.06/13.32 cnf(matrix-5415, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11265), _u11266)) | ~c_Fun_Oinj__on(_u11263, _u11265, _u11261, _u11264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11263, _u11265, _u11261), _u11264)), _u11266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11263), _u11264)), hAPP(c_Finite__Set_Ocard(_u11265), _u11266))) )).
% 13.06/13.32 cnf(matrix-5416, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11265), _u11266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11263), _u11264)), hAPP(c_Finite__Set_Ocard(_u11265), _u11266))) | c_Fun_Oinj__on(_u11263, _u11265, skolem200(_u11266, _u11265, _u11264, _u11263), _u11264) )).
% 13.06/13.32 cnf(matrix-5417, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11265), _u11266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11263), _u11264)), hAPP(c_Finite__Set_Ocard(_u11265), _u11266))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11263, _u11265, skolem200(_u11266, _u11265, _u11264, _u11263)), _u11264)), _u11266)) )).
% 13.06/13.32 cnf(matrix-5418, plain, ( ~c_Fun_Oinj__on(_u11267, tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11267, tc_fun(tc_prod(_u11267, _u11267), tc_HOL_Obool), tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11267, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11267, _u11267), tc_HOL_Obool), tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool)), _u11267), c_Equiv__Relations_Oquotient(_u11267)), hAPP(hAPP(c_COMBC(_u11267, tc_fun(_u11267, tc_HOL_Obool), tc_fun(_u11267, tc_HOL_Obool)), c_Set_Oinsert(_u11267)), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))), _u11268), _u11269) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11270), _u11269)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11267), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11267, tc_HOL_Obool)), _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))), _u11268) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u11267, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11267), _u11269), _u11268)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11267), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool)))), _u11268))) )).
% 13.06/13.32 cnf(matrix-5419, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11271, _u11272)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11272), _u11271)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.06/13.32 cnf(matrix-5420, plain, ( ~class_Orderings_Olinorder(_u11273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11273), _u11274), _u11275)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11273, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11273), _u11274), c_Orderings_Obot__class_Obot(tc_fun(_u11273, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11273, _u11274, _u11275)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11273, _u11274, _u11275)) )).
% 13.06/13.32 cnf(matrix-5421, plain, ( ~c_Fun_Oinj__on(_u11281, _u11283, _u11285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289)) | c_Fun_Oinj__on(_u11281, _u11283, _u11285, _u11287) )).
% 13.06/13.32 cnf(matrix-5422, plain, ( ~c_Fun_Oinj__on(_u11281, _u11283, _u11285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289)) | c_Fun_Oinj__on(_u11281, _u11283, _u11285, _u11289) )).
% 13.06/13.32 cnf(matrix-5423, plain, ( ~c_Fun_Oinj__on(_u11281, _u11283, _u11285, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11281, _u11283, _u11285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11281, tc_HOL_Obool)), _u11287), _u11289))), hAPP(c_Set_Oimage(_u11281, _u11283, _u11285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11281, tc_HOL_Obool)), _u11289), _u11287))) = c_Orderings_Obot__class_Obot(tc_fun(_u11283, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5424, plain, ( ~c_Fun_Oinj__on(_u11282, _u11284, _u11286, _u11288) | ~c_Fun_Oinj__on(_u11282, _u11284, _u11286, _u11290) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11284, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11282, _u11284, _u11286), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11282, tc_HOL_Obool)), _u11288), _u11290))), hAPP(c_Set_Oimage(_u11282, _u11284, _u11286), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11282, tc_HOL_Obool)), _u11290), _u11288))) != c_Orderings_Obot__class_Obot(tc_fun(_u11284, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11282, _u11284, _u11286, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11282, tc_HOL_Obool)), _u11288), _u11290)) )).
% 13.06/13.32 cnf(matrix-5425, plain, ( ~c_Fun_Oinj__on(_u11296, _u11298, _u11300, hAPP(hAPP(c_Set_Oinsert(_u11296), _u11302), _u11304)) | c_Fun_Oinj__on(_u11296, _u11298, _u11300, _u11304) )).
% 13.06/13.32 cnf(matrix-5426, plain, ( ~c_Fun_Oinj__on(_u11296, _u11298, _u11300, hAPP(hAPP(c_Set_Oinsert(_u11296), _u11302), _u11304)) | ~hBOOL(hAPP(hAPP(c_member(_u11298), hAPP(_u11300, _u11302)), hAPP(c_Set_Oimage(_u11296, _u11298, _u11300), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11296, tc_HOL_Obool)), _u11304), hAPP(hAPP(c_Set_Oinsert(_u11296), _u11302), c_Orderings_Obot__class_Obot(tc_fun(_u11296, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5427, plain, ( ~c_Fun_Oinj__on(_u11297, _u11299, _u11301, _u11305) | hBOOL(hAPP(hAPP(c_member(_u11299), hAPP(_u11301, _u11303)), hAPP(c_Set_Oimage(_u11297, _u11299, _u11301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11297, tc_HOL_Obool)), _u11305), hAPP(hAPP(c_Set_Oinsert(_u11297), _u11303), c_Orderings_Obot__class_Obot(tc_fun(_u11297, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u11297, _u11299, _u11301, hAPP(hAPP(c_Set_Oinsert(_u11297), _u11303), _u11305)) )).
% 13.06/13.32 cnf(matrix-5428, plain, ( ~class_Groups_Oordered__ab__group__add(_u11306) | c_Fun_Oinj__on(_u11306, _u11306, c_Groups_Ouminus__class_Ouminus(_u11306), _u11307) )).
% 13.06/13.32 cnf(matrix-5429, plain, ( c_Fun_Oinj__on(_u11308, _u11309, _u11310, c_Orderings_Obot__class_Obot(tc_fun(_u11308, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5430, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u11311) )).
% 13.06/13.32 cnf(matrix-5431, plain, ( c_Fun_Oinj__on(_u11312, tc_Option_Ooption(_u11312), c_Option_Ooption_OSome(_u11312), _u11313) )).
% 13.06/13.32 cnf(matrix-5432, 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)), _u11314), _u11315) )).
% 13.06/13.32 cnf(matrix-5433, plain, ( c_Fun_Oinj__on(tc_prod(_u11316, _u11317), tc_prod(_u11317, _u11316), hAPP(c_Product__Type_Oprod_Oprod__case(_u11316, _u11317, tc_prod(_u11317, _u11316)), hAPP(c_COMBC(_u11317, _u11316, tc_prod(_u11317, _u11316)), c_Product__Type_OPair(_u11317, _u11316))), _u11318) )).
% 13.06/13.32 cnf(matrix-5434, plain, ( ~c_Fun_Oinj__on(_u11327, _u11329, _u11331, _u11333) | ~hBOOL(hAPP(hAPP(c_member(_u11327), _u11320), _u11333)) | ~hBOOL(hAPP(hAPP(c_member(_u11327), _u11319), _u11333)) | ( hAPP(_u11331, _u11320) != hAPP(_u11331, _u11319)) | ( _u11320 = _u11319) )).
% 13.06/13.32 cnf(matrix-5435, plain, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | hBOOL(hAPP(hAPP(c_member(_u11328), skolem201(_u11334, _u11332, _u11330, _u11328)), _u11334)) )).
% 13.06/13.32 cnf(matrix-5436, plain, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | hBOOL(hAPP(hAPP(c_member(_u11328), skolem202(_u11334, _u11332, _u11330, _u11328)), _u11334)) )).
% 13.06/13.32 cnf(matrix-5437, plain, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | ( hAPP(_u11332, skolem201(_u11334, _u11332, _u11330, _u11328)) = hAPP(_u11332, skolem202(_u11334, _u11332, _u11330, _u11328))) )).
% 13.06/13.32 cnf(matrix-5438, plain, ( c_Fun_Oinj__on(_u11328, _u11330, _u11332, _u11334) | ( skolem201(_u11334, _u11332, _u11330, _u11328) != skolem202(_u11334, _u11332, _u11330, _u11328)) )).
% 13.06/13.32 cnf(matrix-5439, plain, ( ( hAPP(c_Set_Oimage(_u11335, _u11335, c_COMBI(_u11335)), _u11336) = _u11336) )).
% 13.06/13.32 cnf(matrix-5440, plain, ( c_Fun_Oinj__on(_u11337, _u11337, c_COMBI(_u11337), _u11338) )).
% 13.06/13.32 cnf(matrix-5441, plain, ( ~c_Fun_Oinj__on(_u11339, _u11340, _u11341, _u11342) | ( hAPP(_u11341, _u11343) != hAPP(_u11341, _u11344)) | ~hBOOL(hAPP(hAPP(c_member(_u11339), _u11343), _u11342)) | ~hBOOL(hAPP(hAPP(c_member(_u11339), _u11344), _u11342)) | ( _u11343 = _u11344) )).
% 13.06/13.32 cnf(matrix-5442, plain, ( ~c_Fun_Oinj__on(_u11345, _u11346, _u11347, _u11348) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11349), _u11348)) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11350), _u11348)) | ( hAPP(_u11347, _u11349) != hAPP(_u11347, _u11350)) | ( _u11349 = _u11350) )).
% 13.06/13.32 cnf(matrix-5443, plain, ( ~c_Fun_Oinj__on(_u11345, _u11346, _u11347, _u11348) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11349), _u11348)) | ~hBOOL(hAPP(hAPP(c_member(_u11345), _u11350), _u11348)) | ( _u11349 != _u11350) | ( hAPP(_u11347, _u11349) = hAPP(_u11347, _u11350)) )).
% 13.06/13.32 cnf(matrix-5444, plain, ( ~c_Fun_Oinj__on(_u11351, _u11352, _u11353, _u11354) | ( _u11355 = _u11356) | ~hBOOL(hAPP(hAPP(c_member(_u11351), _u11355), _u11354)) | ~hBOOL(hAPP(hAPP(c_member(_u11351), _u11356), _u11354)) | ( hAPP(_u11353, _u11355) != hAPP(_u11353, _u11356)) )).
% 13.06/13.32 cnf(matrix-5445, plain, ( ~c_Fun_Oinj__on(_u11357, _u11358, _u11359, _u11360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11357, tc_HOL_Obool)), _u11361), _u11360)) | c_Fun_Oinj__on(_u11357, _u11358, _u11359, _u11361) )).
% 13.06/13.32 cnf(matrix-5446, plain, ( ~c_Fun_Oinj__on(_u11362, _u11363, _u11364, _u11365) | ~c_Fun_Oinj__on(_u11362, _u11363, _u11364, _u11366) | c_Fun_Oinj__on(_u11362, _u11363, _u11364, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11362, tc_HOL_Obool)), _u11365), _u11366)) )).
% 13.06/13.32 cnf(matrix-5447, plain, ( ~c_Fun_Oinj__on(_u11367, _u11368, _u11369, _u11370) | c_Fun_Oinj__on(_u11367, _u11368, _u11369, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11367, tc_HOL_Obool)), _u11370), _u11371)) )).
% 13.06/13.32 cnf(matrix-5448, plain, ( ( hAPP(c_Set_Oimage(_u11373, tc_fun(_u11373, tc_HOL_Obool), _u11372), _u11374) != hAPP(c_Set_OPow(_u11373), _u11374)) )).
% 13.06/13.32 cnf(matrix-5449, plain, ( ~c_Fun_Oinj__on(_u11375, _u11376, _u11377, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11375, tc_HOL_Obool)), _u11378), _u11379)) | ( hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11378) != hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11379)) | ( _u11378 = _u11379) )).
% 13.06/13.32 cnf(matrix-5450, plain, ( ~c_Fun_Oinj__on(_u11375, _u11376, _u11377, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11375, tc_HOL_Obool)), _u11378), _u11379)) | ( _u11378 != _u11379) | ( hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11378) = hAPP(c_Set_Oimage(_u11375, _u11376, _u11377), _u11379)) )).
% 13.06/13.32 cnf(matrix-5451, plain, ( ~c_Fun_Oinj__on(_u11380, _u11381, _u11382, _u11383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11380, tc_HOL_Obool)), _u11384), _u11383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11381, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11380, _u11381, _u11382), _u11384)), hAPP(c_Set_Oimage(_u11380, _u11381, _u11382), _u11383))) )).
% 13.06/13.32 cnf(matrix-5452, plain, ( ~c_Fun_Oinj__on(_u11385, _u11386, _u11387, _u11388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11385, tc_HOL_Obool)), _u11389), _u11388)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11385, tc_HOL_Obool)), _u11390), _u11388)) | ( hAPP(c_Set_Oimage(_u11385, _u11386, _u11387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11385, tc_HOL_Obool)), _u11389), _u11390)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11386, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11385, _u11386, _u11387), _u11389)), hAPP(c_Set_Oimage(_u11385, _u11386, _u11387), _u11390))) )).
% 13.06/13.32 cnf(matrix-5453, plain, ( ~c_Fun_Oinj__on(_u11391, _u11392, _u11393, _u11394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11391, tc_HOL_Obool)), _u11395), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11391, tc_HOL_Obool)), _u11396), _u11394)) | ( hAPP(c_Set_Oimage(_u11391, _u11392, _u11393), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11391, tc_HOL_Obool)), _u11395), _u11396)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11392, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11391, _u11392, _u11393), _u11395)), hAPP(c_Set_Oimage(_u11391, _u11392, _u11393), _u11396))) )).
% 13.06/13.32 cnf(matrix-5454, plain, ( ( _u11401 = c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11402, _u11403, _u11397, _u11401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11403, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11402, _u11403, _u11397), _u11401)), _u11404)) | ( hAPP(c_Set_Oimage(_u11403, _u11402, skolem203(_u11404, _u11403, _u11402, _u11401)), _u11404) = _u11401) )).
% 13.06/13.32 cnf(matrix-5455, plain, ( ( _u11401 = c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11403, _u11402, _u11399), _u11404) != _u11401) | c_Fun_Oinj__on(_u11402, _u11403, skolem204(_u11404, _u11403, _u11402, _u11401), _u11401) )).
% 13.06/13.32 cnf(matrix-5456, plain, ( ( _u11401 = c_Orderings_Obot__class_Obot(tc_fun(_u11402, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11403, _u11402, _u11399), _u11404) != _u11401) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11403, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11402, _u11403, skolem204(_u11404, _u11403, _u11402, _u11401)), _u11401)), _u11404)) )).
% 13.06/13.32 cnf(matrix-5457, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11406), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11411))) | hBOOL(hAPP(_u11413, _u11406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem205(_u11413, _u11411)), _u11411)) )).
% 13.06/13.32 cnf(matrix-5458, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11406), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11411))) | hBOOL(hAPP(_u11413, _u11406)) | ~hBOOL(hAPP(_u11413, skolem205(_u11413, _u11411))) )).
% 13.06/13.32 cnf(matrix-5459, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11408), _u11412)) | hBOOL(hAPP(_u11414, _u11408)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem206(_u11414, _u11412)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11412))) )).
% 13.06/13.32 cnf(matrix-5460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11408), _u11412)) | hBOOL(hAPP(_u11414, _u11408)) | ~hBOOL(hAPP(_u11414, skolem206(_u11414, _u11412))) )).
% 13.06/13.32 cnf(matrix-5461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11415), _u11421)) | ~hBOOL(hAPP(_u11423, _u11415)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem207(_u11423, _u11421)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11421))) )).
% 13.06/13.32 cnf(matrix-5462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11415), _u11421)) | ~hBOOL(hAPP(_u11423, _u11415)) | hBOOL(hAPP(_u11423, skolem207(_u11423, _u11421))) )).
% 13.06/13.32 cnf(matrix-5463, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11417), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11422))) | ~hBOOL(hAPP(_u11424, _u11417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem208(_u11424, _u11422)), _u11422)) )).
% 13.06/13.32 cnf(matrix-5464, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11417), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11422))) | ~hBOOL(hAPP(_u11424, _u11417)) | hBOOL(hAPP(_u11424, skolem208(_u11424, _u11422))) )).
% 13.06/13.32 cnf(matrix-5465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11428)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11429), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11427), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11427), _u11428)), _u11429)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem209(_u11430, _u11429, _u11428, _u11427)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11428))) )).
% 13.06/13.32 cnf(matrix-5466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11428)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11429), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11427), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11427), _u11428)), _u11429)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem210(_u11430, _u11429, _u11428, _u11427)), _u11430)) )).
% 13.06/13.32 cnf(matrix-5467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11428)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11429), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11427), _u11429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11427), _u11428)), _u11429)) | ( _u11427 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem210(_u11430, _u11429, _u11428, _u11427)), skolem209(_u11430, _u11429, _u11428, _u11427))) )).
% 13.06/13.32 cnf(matrix-5468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11435), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), _u11433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11433), _u11434))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u11436, _u11435, _u11434, _u11433)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11434))) )).
% 13.06/13.32 cnf(matrix-5469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11435), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), _u11433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11433), _u11434))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem212(_u11436, _u11435, _u11434, _u11433)), _u11436)) )).
% 13.06/13.32 cnf(matrix-5470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11435), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), _u11433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11435), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11433), _u11434))) | ( _u11433 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem212(_u11436, _u11435, _u11434, _u11433)), skolem211(_u11436, _u11435, _u11434, _u11433))) )).
% 13.06/13.32 cnf(matrix-5471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11439)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11441)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), _u11439) = _u11440) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u11441, _u11440, _u11439)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11439))) )).
% 13.06/13.32 cnf(matrix-5472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11439)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11441)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), _u11439) = _u11440) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u11441, _u11440, _u11439)), _u11441)) )).
% 13.06/13.32 cnf(matrix-5473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11439)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11441)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11440), _u11439) = _u11440) | ( _u11440 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem214(_u11441, _u11440, _u11439)), skolem213(_u11441, _u11440, _u11439))) )).
% 13.06/13.32 cnf(matrix-5474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11445)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11446), _u11447)) | ( _u11444 = _u11446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11444), _u11445) != _u11446) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u11447, _u11446, _u11445, _u11444)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11445))) )).
% 13.06/13.32 cnf(matrix-5475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11445)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11446), _u11447)) | ( _u11444 = _u11446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11444), _u11445) != _u11446) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u11447, _u11446, _u11445, _u11444)), _u11447)) )).
% 13.06/13.32 cnf(matrix-5476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11445)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11446), _u11447)) | ( _u11444 = _u11446) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11444), _u11445) != _u11446) | ( _u11444 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem216(_u11447, _u11446, _u11445, _u11444)), skolem215(_u11447, _u11446, _u11445, _u11444))) )).
% 13.06/13.32 cnf(matrix-5477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11451)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11452), _u11453)) | ( _u11450 = _u11452) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11450), _u11451) != _u11452) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem217(_u11453, _u11452, _u11451, _u11450)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11451))) )).
% 13.06/13.32 cnf(matrix-5478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11451)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11452), _u11453)) | ( _u11450 = _u11452) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11450), _u11451) != _u11452) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem218(_u11453, _u11452, _u11451, _u11450)), _u11453)) )).
% 13.06/13.32 cnf(matrix-5479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11451)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11452), _u11453)) | ( _u11450 = _u11452) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11450), _u11451) != _u11452) | ( _u11450 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem218(_u11453, _u11452, _u11451, _u11450)), skolem217(_u11453, _u11452, _u11451, _u11450))) )).
% 13.06/13.32 cnf(matrix-5480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11457)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11458), _u11459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), _u11456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11456), _u11457))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u11459, _u11458, _u11457, _u11456)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11457))) )).
% 13.06/13.32 cnf(matrix-5481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11457)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11458), _u11459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), _u11456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11456), _u11457))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem220(_u11459, _u11458, _u11457, _u11456)), _u11459)) )).
% 13.06/13.32 cnf(matrix-5482, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11457)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11458), _u11459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), _u11456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11456), _u11457))) | ( _u11456 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem220(_u11459, _u11458, _u11457, _u11456)), skolem219(_u11459, _u11458, _u11457, _u11456))) )).
% 13.06/13.32 cnf(matrix-5483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), _u11462) = _u11463) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u11464, _u11463, _u11462)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11462))) )).
% 13.06/13.32 cnf(matrix-5484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), _u11462) = _u11463) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u11464, _u11463, _u11462)), _u11464)) )).
% 13.06/13.32 cnf(matrix-5485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11464)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11463), _u11462) = _u11463) | ( _u11463 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem222(_u11464, _u11463, _u11462)), skolem221(_u11464, _u11463, _u11462))) )).
% 13.06/13.32 cnf(matrix-5486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11469), _u11470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11467), _u11469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11467), _u11468)), _u11469)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u11470, _u11469, _u11468, _u11467)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11468))) )).
% 13.06/13.32 cnf(matrix-5487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11469), _u11470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11467), _u11469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11467), _u11468)), _u11469)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u11470, _u11469, _u11468, _u11467)), _u11470)) )).
% 13.06/13.32 cnf(matrix-5488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11469), _u11470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11467), _u11469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11467), _u11468)), _u11469)) | ( _u11467 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem224(_u11470, _u11469, _u11468, _u11467)), skolem223(_u11470, _u11469, _u11468, _u11467))) )).
% 13.06/13.32 cnf(matrix-5489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11473), _u11476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11473), _u11474)), _u11476)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem225(_u11476, _u11475, _u11474, _u11473)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11474))) )).
% 13.06/13.32 cnf(matrix-5490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11473), _u11476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11473), _u11474)), _u11476)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem226(_u11476, _u11475, _u11474, _u11473)), _u11475)) )).
% 13.06/13.32 cnf(matrix-5491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11473), _u11476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11473), _u11474)), _u11476)) | ( _u11473 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem226(_u11476, _u11475, _u11474, _u11473)), skolem225(_u11476, _u11475, _u11474, _u11473))) )).
% 13.06/13.32 cnf(matrix-5492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), _u11479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11479), _u11480))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem227(_u11482, _u11481, _u11480, _u11479)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11480))) )).
% 13.06/13.32 cnf(matrix-5493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), _u11479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11479), _u11480))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem228(_u11482, _u11481, _u11480, _u11479)), _u11481)) )).
% 13.06/13.32 cnf(matrix-5494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), _u11479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11482), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11479), _u11480))) | ( _u11479 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem228(_u11482, _u11481, _u11480, _u11479)), skolem227(_u11482, _u11481, _u11480, _u11479))) )).
% 13.06/13.32 cnf(matrix-5495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.06/13.32 cnf(matrix-5496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.06/13.32 cnf(matrix-5497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.06/13.32 cnf(matrix-5498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.06/13.32 cnf(matrix-5499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.06/13.32 cnf(matrix-5500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem233(_u11490, _u11489)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.06/13.32 cnf(matrix-5501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.06/13.32 cnf(matrix-5502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(_u11490, _u11485)) | hBOOL(hAPP(_u11490, skolem233(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.06/13.32 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.06/13.32 cnf(matrix-5504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | hBOOL(hAPP(_u11490, skolem229(_u11490, _u11489))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.06/13.32 cnf(matrix-5505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | ~hBOOL(hAPP(_u11490, skolem231(_u11490, _u11489))) )).
% 13.06/13.32 cnf(matrix-5506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11489)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11487), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11489))) | ~hBOOL(hAPP(_u11490, _u11487)) | hBOOL(hAPP(_u11490, skolem234(_u11490, _u11489))) | ~hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem229(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem230(_u11490, _u11489)), _u11489)))) | hBOOL(hAPP(_u11490, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem231(_u11490, _u11489)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem232(_u11490, _u11489)), _u11489)))) )).
% 13.06/13.32 cnf(matrix-5507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11497), _u11500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11497), _u11498)), _u11500)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem235(_u11500, _u11499, _u11498, _u11497)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11498))) )).
% 13.06/13.32 cnf(matrix-5508, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11497), _u11500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11497), _u11498)), _u11500)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u11500, _u11499, _u11498, _u11497)), _u11499)) )).
% 13.06/13.32 cnf(matrix-5509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11497), _u11500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11497), _u11498)), _u11500)) | ( _u11497 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem236(_u11500, _u11499, _u11498, _u11497)), skolem235(_u11500, _u11499, _u11498, _u11497))) )).
% 13.06/13.32 cnf(matrix-5510, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), _u11503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11503), _u11504))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem237(_u11506, _u11505, _u11504, _u11503)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11504))) )).
% 13.06/13.32 cnf(matrix-5511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), _u11503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11503), _u11504))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u11506, _u11505, _u11504, _u11503)), _u11505)) )).
% 13.06/13.32 cnf(matrix-5512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), _u11503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11503), _u11504))) | ( _u11503 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem238(_u11506, _u11505, _u11504, _u11503)), skolem237(_u11506, _u11505, _u11504, _u11503))) )).
% 13.06/13.32 cnf(matrix-5513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11510), _u11512)) | ( 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)), _u11510)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11514), _u11512)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11514), _u11510)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11512), _u11510))) )).
% 13.06/13.32 cnf(matrix-5514, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11511), _u11513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11515), _u11513)) | ( 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)), _u11511)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11515), _u11513)) = 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)))) )).
% 13.06/13.32 cnf(matrix-5515, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11511), _u11513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11515), _u11513)) | ( 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)), _u11511)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11515), _u11513)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5516, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), _u11520)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11518), _u11522))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11518), _u11520)), _u11522))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem239(_u11522, _u11521, _u11520, _u11519, _u11518)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11520))) )).
% 13.06/13.32 cnf(matrix-5517, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), _u11520)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11518), _u11522))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11518), _u11520)), _u11522))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem240(_u11522, _u11521, _u11520, _u11519, _u11518)), _u11521)) )).
% 13.06/13.32 cnf(matrix-5518, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), _u11520)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11518), _u11522))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11518), _u11520)), _u11522))) | ( _u11518 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem240(_u11522, _u11521, _u11520, _u11519, _u11518)), skolem239(_u11522, _u11521, _u11520, _u11519, _u11518))) )).
% 13.06/13.32 cnf(matrix-5519, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11523), _u11524))) )).
% 13.06/13.32 cnf(matrix-5520, plain, ( ~class_Orderings_Olinorder(_u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11526), _u11527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11528), _u11529)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11526), _u11527) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11528), _u11529)) | ( _u11526 = _u11528) )).
% 13.06/13.32 cnf(matrix-5521, plain, ( ~class_Orderings_Olinorder(_u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11526), _u11527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11528), _u11529)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11526), _u11527) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11528), _u11529)) | ( _u11527 = _u11529) )).
% 13.06/13.32 cnf(matrix-5522, plain, ( ~class_Orderings_Olinorder(_u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11526), _u11527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11525), _u11528), _u11529)) | ( _u11526 != _u11528) | ( _u11527 != _u11529) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11526), _u11527) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11525, _u11528), _u11529)) )).
% 13.06/13.32 cnf(matrix-5523, plain, ( ~class_Orderings_Olinorder(_u11530) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11530, _u11531), _u11532) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11530, _u11533), _u11534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11530), _u11531), _u11532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11530), _u11533), _u11534)) | ( _u11531 = _u11533) )).
% 13.06/13.32 cnf(matrix-5524, plain, ( ~class_Orderings_Olinorder(_u11535) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11535, _u11536), _u11537) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11535, _u11538), _u11539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11535), _u11536), _u11537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11535), _u11538), _u11539)) | ( _u11537 = _u11539) )).
% 13.06/13.32 cnf(matrix-5525, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11541), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11546))) | hBOOL(hAPP(_u11548, _u11541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem241(_u11548, _u11546)), _u11546)) )).
% 13.06/13.32 cnf(matrix-5526, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11541), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11546))) | hBOOL(hAPP(_u11548, _u11541)) | ~hBOOL(hAPP(_u11548, skolem241(_u11548, _u11546))) )).
% 13.06/13.32 cnf(matrix-5527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11543), _u11547)) | hBOOL(hAPP(_u11549, _u11543)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem242(_u11549, _u11547)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11547))) )).
% 13.06/13.32 cnf(matrix-5528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11543), _u11547)) | hBOOL(hAPP(_u11549, _u11543)) | ~hBOOL(hAPP(_u11549, skolem242(_u11549, _u11547))) )).
% 13.06/13.32 cnf(matrix-5529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11550), _u11556)) | ~hBOOL(hAPP(_u11558, _u11550)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem243(_u11558, _u11556)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11556))) )).
% 13.06/13.32 cnf(matrix-5530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11550), _u11556)) | ~hBOOL(hAPP(_u11558, _u11550)) | hBOOL(hAPP(_u11558, skolem243(_u11558, _u11556))) )).
% 13.06/13.32 cnf(matrix-5531, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11552), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11557))) | ~hBOOL(hAPP(_u11559, _u11552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem244(_u11559, _u11557)), _u11557)) )).
% 13.06/13.32 cnf(matrix-5532, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u11552), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11557))) | ~hBOOL(hAPP(_u11559, _u11552)) | hBOOL(hAPP(_u11559, skolem244(_u11559, _u11557))) )).
% 13.06/13.32 cnf(matrix-5533, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11560), hAPP(c_Nat_OSuc, _u11561)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11560, _u11561)) )).
% 13.06/13.32 cnf(matrix-5534, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11562), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5535, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11563), _u11564)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11564), _u11563)) )).
% 13.06/13.32 cnf(matrix-5536, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11565), _u11566)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11565)), hAPP(c_Nat_OSuc, _u11566))) )).
% 13.06/13.32 cnf(matrix-5537, plain, ( ~class_Orderings_Oorder(_u11567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11567), _u11568), _u11569)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11567, _u11569), _u11568) = c_Orderings_Obot__class_Obot(tc_fun(_u11567, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5538, plain, ( ~class_Orderings_Oorder(_u11570) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11570, _u11571), _u11572) != c_Orderings_Obot__class_Obot(tc_fun(_u11570, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11570), _u11571), _u11572)) )).
% 13.06/13.32 cnf(matrix-5539, plain, ( ~class_Orderings_Oorder(_u11570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11570), _u11571), _u11572)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11570, _u11571), _u11572) = c_Orderings_Obot__class_Obot(tc_fun(_u11570, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5540, plain, ( ~class_Orderings_Oorder(_u11573) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11573, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11573, _u11574), _u11575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11573), _u11574), _u11575)) )).
% 13.06/13.32 cnf(matrix-5541, plain, ( ~class_Orderings_Oorder(_u11573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11573), _u11574), _u11575)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u11573, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11573, _u11574), _u11575)) )).
% 13.06/13.32 cnf(matrix-5542, plain, ( ~class_Orderings_Olinorder(_u11576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11576, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11577), _u11578)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11579), _u11580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11578), _u11577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11579), _u11577)) )).
% 13.06/13.32 cnf(matrix-5543, plain, ( ~class_Orderings_Olinorder(_u11576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11576, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11577), _u11578)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11576, _u11579), _u11580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11578), _u11577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11576), _u11578), _u11580)) )).
% 13.06/13.32 cnf(matrix-5544, plain, ( ~class_Orderings_Olinorder(_u11581) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11581), _u11582), _u11583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11581), _u11583), _u11584)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11581, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11581, _u11582), _u11583)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11581, _u11583), _u11584)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11581, _u11582), _u11584)) )).
% 13.06/13.32 cnf(matrix-5545, plain, ( ~class_Orderings_Olinorder(_u11585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11585), _u11586), _u11587)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11585, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11585, _u11586), _u11588)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11585, _u11586), _u11587)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11585, _u11587), _u11588)) )).
% 13.06/13.32 cnf(matrix-5546, plain, ( ~class_Orderings_Oorder(_u11589) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11589, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11589, _u11590), _u11591)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11589, _u11591), _u11592)) = c_Orderings_Obot__class_Obot(tc_fun(_u11589, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5547, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11593)), _u11594) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u11593, _u11594)) )).
% 13.06/13.32 cnf(matrix-5548, 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)), _u11595)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11596), _u11597)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11596), _u11595)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11597), _u11595))) )).
% 13.06/13.32 cnf(matrix-5549, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11598), hAPP(c_Nat_OSuc, _u11598)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11598), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5550, plain, ( ~class_Orderings_Olinorder(_u11599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11599), _u11600), _u11601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11599), _u11601), _u11602)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11599, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11599, _u11600), _u11601)), c_SetInterval_Oord__class_OatLeastAtMost(_u11599, _u11601, _u11602)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11599, _u11600, _u11602)) )).
% 13.06/13.32 cnf(matrix-5551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11603), _u11604)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11604), _u11605)) = 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, _u11603), _u11604)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11604), _u11605)))) )).
% 13.06/13.32 cnf(matrix-5552, plain, ( ~class_Orderings_Oorder(_u11606) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11606, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11606, _u11607), _u11608)), c_SetInterval_Oord__class_OatLeastAtMost(_u11606, _u11608, _u11609)) = c_Orderings_Obot__class_Obot(tc_fun(_u11606, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5553, plain, ( ~class_Orderings_Olinorder(_u11610) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11610, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11610, _u11611), _u11612)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11610, _u11613), _u11614)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11610, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11610), _u11611), _u11613)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11610), _u11612), _u11614))) )).
% 13.06/13.32 cnf(matrix-5554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u11615), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11616), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11615))))) | ( _u11615 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11616), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u11615)))) )).
% 13.06/13.32 cnf(matrix-5555, plain, ( ~class_Orderings_Oorder(_u11617) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11617, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11617, _u11618, _u11619)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11617, _u11619), _u11620)) = c_Orderings_Obot__class_Obot(tc_fun(_u11617, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5556, plain, ( ~class_Groups_Oordered__ab__group__add(_u11621) | ( hAPP(c_Set_Oimage(_u11621, _u11621, c_Groups_Ouminus__class_Ouminus(_u11621)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11621, _u11622, _u11623)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11621, hAPP(c_Groups_Ouminus__class_Ouminus(_u11621), _u11623)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11621), _u11622))) )).
% 13.06/13.32 cnf(matrix-5557, plain, ( ~class_Groups_Oordered__ab__group__add(_u11624) | ( hAPP(c_Set_Oimage(_u11624, _u11624, c_Groups_Ouminus__class_Ouminus(_u11624)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11624, _u11625), _u11626)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u11624, hAPP(c_Groups_Ouminus__class_Ouminus(_u11624), _u11626), hAPP(c_Groups_Ouminus__class_Ouminus(_u11624), _u11625))) )).
% 13.06/13.32 cnf(matrix-5558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11629), _u11631)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11629), hAPP(c_Nat_OSuc, _u11631)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11631), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11629), _u11631))) )).
% 13.06/13.32 cnf(matrix-5559, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11630), _u11632)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11630), hAPP(c_Nat_OSuc, _u11632)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5560, plain, ( ~class_Orderings_Olinorder(_u11633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11633), _u11634), _u11635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11633), _u11635), _u11636)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11633, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11633, _u11634, _u11635)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11633, _u11635), _u11636)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u11633, _u11634, _u11636)) )).
% 13.06/13.32 cnf(matrix-5561, plain, ( ~class_Orderings_Olinorder(_u11637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11637), _u11638), _u11639)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11637, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11637, _u11638), _u11639)), hAPP(hAPP(c_Set_Oinsert(_u11637), _u11639), c_Orderings_Obot__class_Obot(tc_fun(_u11637, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u11637, _u11638, _u11639)) )).
% 13.06/13.32 cnf(matrix-5562, plain, ( ~class_Orderings_Olinorder(_u11640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11640), _u11641), _u11642)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11640, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11640), _u11641), c_Orderings_Obot__class_Obot(tc_fun(_u11640, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11640, _u11641, _u11642)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11640, _u11641), _u11642)) )).
% 13.06/13.32 cnf(matrix-5563, plain, ( ~class_Orderings_Olinorder(_u11643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11643), _u11644), _u11645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11643), _u11645), _u11646)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11643, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11643, _u11644, _u11645)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11643, _u11645, _u11646)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11643, _u11644), _u11646)) )).
% 13.06/13.32 cnf(matrix-5564, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), _u11651)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11653))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11651)), _u11653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem245(_u11653, _u11652, _u11651, _u11650, _u11649)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11651))) )).
% 13.06/13.32 cnf(matrix-5565, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), _u11651)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11653))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11651)), _u11653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem246(_u11653, _u11652, _u11651, _u11650, _u11649)), _u11652)) )).
% 13.06/13.32 cnf(matrix-5566, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), _u11651)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11653))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11649), _u11651)), _u11653))) | ( _u11649 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem246(_u11653, _u11652, _u11651, _u11650, _u11649)), skolem245(_u11653, _u11652, _u11651, _u11650, _u11649))) )).
% 13.06/13.32 cnf(matrix-5567, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), _u11658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11656), _u11660))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11656), _u11658)), _u11660))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem247(_u11660, _u11659, _u11658, _u11657, _u11656)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11658))) )).
% 13.06/13.32 cnf(matrix-5568, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), _u11658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11656), _u11660))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11656), _u11658)), _u11660))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem248(_u11660, _u11659, _u11658, _u11657, _u11656)), _u11659)) )).
% 13.06/13.32 cnf(matrix-5569, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), _u11658)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11656), _u11660))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11657), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11656), _u11658)), _u11660))) | ( _u11656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem248(_u11660, _u11659, _u11658, _u11657, _u11656)), skolem247(_u11660, _u11659, _u11658, _u11657, _u11656))) )).
% 13.06/13.32 cnf(matrix-5570, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), _u11665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11665)), _u11667))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem249(_u11667, _u11666, _u11665, _u11664, _u11663)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u11665))) )).
% 13.06/13.32 cnf(matrix-5571, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), _u11665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11665)), _u11667))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem250(_u11667, _u11666, _u11665, _u11664, _u11663)), _u11666)) )).
% 13.06/13.32 cnf(matrix-5572, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), _u11665)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint), _u11664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11663), _u11665)), _u11667))) | ( _u11663 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem250(_u11667, _u11666, _u11665, _u11664, _u11663)), skolem249(_u11667, _u11666, _u11665, _u11664, _u11663))) )).
% 13.06/13.32 cnf(matrix-5573, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11668), _u11669))) )).
% 13.06/13.32 cnf(matrix-5574, 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)), _u11670))) )).
% 13.06/13.32 cnf(matrix-5575, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11671), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11672), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11671, _u11672)) )).
% 13.06/13.32 cnf(matrix-5576, 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)), _u11673)), 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), _u11674), _u11673))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11673), _u11674)) )).
% 13.06/13.32 cnf(matrix-5577, 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)), _u11675)) = hAPP(c_Int_Onat, _u11675)) )).
% 13.06/13.32 cnf(matrix-5578, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11676), _u11677)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11677), _u11676))) )).
% 13.06/13.32 cnf(matrix-5579, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11678), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11679) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11678, _u11679)) )).
% 13.06/13.32 cnf(matrix-5580, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11680) = 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), _u11680)))) )).
% 13.06/13.32 cnf(matrix-5581, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11687), _u11689), _u11691)) | ( hAPP(c_Set_Oimage(_u11687, _u11693, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11687, _u11693), _u11695), _u11689), _u11697)), _u11691) = hAPP(hAPP(c_Set_Oinsert(_u11693), _u11697), hAPP(c_Set_Oimage(_u11687, _u11693, _u11695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11687, tc_HOL_Obool)), _u11691), hAPP(hAPP(c_Set_Oinsert(_u11687), _u11689), c_Orderings_Obot__class_Obot(tc_fun(_u11687, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5582, plain, ( hBOOL(hAPP(hAPP(c_member(_u11688), _u11690), _u11692)) | ( hAPP(c_Set_Oimage(_u11688, _u11694, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11688, _u11694), _u11696), _u11690), _u11698)), _u11692) = hAPP(c_Set_Oimage(_u11688, _u11694, _u11696), _u11692)) )).
% 13.06/13.32 cnf(matrix-5583, plain, ( ~c_Fun_Oinj__on(_u11699, _u11700, _u11701, _u11702) | ~hBOOL(hAPP(hAPP(c_member(_u11700), _u11703), hAPP(c_Set_Oimage(_u11699, _u11700, _u11701), _u11702))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11699, tc_HOL_Obool)), _u11702), _u11704)) | hBOOL(hAPP(hAPP(c_member(_u11699), hAPP(c_Fun_Othe__inv__into(_u11699, _u11700, _u11702, _u11701), _u11703)), _u11704)) )).
% 13.06/13.32 cnf(matrix-5584, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11705, _u11706), _u11707), _u11708), hAPP(_u11707, _u11708)) = _u11707) )).
% 13.06/13.32 cnf(matrix-5585, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11709))) )).
% 13.06/13.32 cnf(matrix-5586, plain, ( ~class_Orderings_Olinorder(_u11710) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11711) != hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11712)) | ( _u11711 = _u11712) )).
% 13.06/13.32 cnf(matrix-5587, plain, ( ~class_Orderings_Olinorder(_u11710) | ( _u11711 != _u11712) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11711) = hAPP(c_SetInterval_Oord__class_OatMost(_u11710), _u11712)) )).
% 13.06/13.32 cnf(matrix-5588, plain, ( ( hAPP(_u11713, _u11714) != _u11715) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11716, _u11717), _u11713), _u11714), _u11715) = _u11713) )).
% 13.06/13.32 cnf(matrix-5589, plain, ( ( _u11718 = _u11719) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11720, _u11721), _u11722), _u11719), _u11723), _u11718) = hAPP(_u11722, _u11718)) )).
% 13.06/13.32 cnf(matrix-5590, plain, ( ( _u11724 = _u11725) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), _u11728), _u11724), _u11729)), _u11725), _u11730) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11726, _u11727), _u11728), _u11725), _u11730)), _u11724), _u11729)) )).
% 13.06/13.32 cnf(matrix-5591, plain, ( ( _u11737 != _u11739) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11741, _u11743), _u11745), _u11739), _u11747), _u11737) = _u11747) )).
% 13.06/13.32 cnf(matrix-5592, plain, ( ( _u11738 = _u11740) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11742, _u11744), _u11746), _u11740), _u11748), _u11738) = hAPP(_u11746, _u11738)) )).
% 13.06/13.32 cnf(matrix-5593, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11749, _u11750), _u11751), _u11752), _u11753), _u11752) = _u11753) )).
% 13.06/13.32 cnf(matrix-5594, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11754, _u11755), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11754, _u11755), _u11756), _u11757), _u11758)), _u11757), _u11759) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11754, _u11755), _u11756), _u11757), _u11759)) )).
% 13.06/13.32 cnf(matrix-5595, plain, ( ( hAPP(_u11769, _u11771) = _u11773) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11765, _u11767), _u11769), _u11771), _u11773) != _u11769) )).
% 13.06/13.32 cnf(matrix-5596, plain, ( ( hAPP(_u11770, _u11772) != _u11774) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11766, _u11768), _u11770), _u11772), _u11774) = _u11770) )).
% 13.06/13.32 cnf(matrix-5597, plain, ( ( _u11781 != _u11783) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11785, _u11787), _u11789), _u11783), _u11791), _u11781) = _u11791) )).
% 13.06/13.32 cnf(matrix-5598, plain, ( ( _u11782 = _u11784) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11786, _u11788), _u11790), _u11784), _u11792), _u11782) = hAPP(_u11790, _u11782)) )).
% 13.06/13.32 cnf(matrix-5599, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11793) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11793)) )).
% 13.06/13.32 cnf(matrix-5600, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11794)) = hAPP(c_Nat_OSuc, _u11794)) )).
% 13.06/13.32 cnf(matrix-5601, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11795)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11795)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11795))) )).
% 13.06/13.32 cnf(matrix-5602, plain, ( ~class_Orderings_Oord(_u11796) | ~hBOOL(hAPP(hAPP(c_member(_u11796), _u11797), hAPP(c_SetInterval_Oord__class_OatMost(_u11796), _u11798))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), _u11798)) )).
% 13.06/13.32 cnf(matrix-5603, plain, ( ~class_Orderings_Oord(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), _u11798)) | hBOOL(hAPP(hAPP(c_member(_u11796), _u11797), hAPP(c_SetInterval_Oord__class_OatMost(_u11796), _u11798))) )).
% 13.06/13.32 cnf(matrix-5604, plain, ( ~class_Orderings_Oorder(_u11799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11799, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11800)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11799), _u11800), _u11801)) )).
% 13.06/13.32 cnf(matrix-5605, plain, ( ~class_Orderings_Oorder(_u11799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11799), _u11800), _u11801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11799, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11800)), hAPP(c_SetInterval_Oord__class_OatMost(_u11799), _u11801))) )).
% 13.06/13.32 cnf(matrix-5606, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11802, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11803)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11802, tc_HOL_Obool), tc_Nat_Onat), _u11804), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11805))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11802, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11805, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11803), _u11805))), _u11804)) )).
% 13.06/13.32 cnf(matrix-5607, plain, ( ~c_Fun_Oinj__on(_u11806, _u11807, _u11808, _u11809) | ( hAPP(_u11808, _u11810) != _u11811) | ~hBOOL(hAPP(hAPP(c_member(_u11806), _u11810), _u11809)) | ( hAPP(c_Fun_Othe__inv__into(_u11806, _u11807, _u11809, _u11808), _u11811) = _u11810) )).
% 13.06/13.32 cnf(matrix-5608, plain, ( ~c_Fun_Oinj__on(_u11812, _u11813, _u11814, _u11815) | ~hBOOL(hAPP(hAPP(c_member(_u11812), _u11816), _u11815)) | ( hAPP(c_Fun_Othe__inv__into(_u11812, _u11813, _u11815, _u11814), hAPP(_u11814, _u11816)) = _u11816) )).
% 13.06/13.32 cnf(matrix-5609, plain, ( ~c_Fun_Oinj__on(_u11817, _u11818, _u11819, _u11820) | c_Fun_Oinj__on(_u11818, _u11817, c_Fun_Othe__inv__into(_u11817, _u11818, _u11820, _u11819), hAPP(c_Set_Oimage(_u11817, _u11818, _u11819), _u11820)) )).
% 13.06/13.32 cnf(matrix-5610, plain, ( ~c_Fun_Oinj__on(_u11821, _u11822, _u11823, _u11824) | ( hAPP(c_Set_Oimage(_u11822, _u11821, c_Fun_Othe__inv__into(_u11821, _u11822, _u11824, _u11823)), hAPP(c_Set_Oimage(_u11821, _u11822, _u11823), _u11824)) = _u11824) )).
% 13.06/13.32 cnf(matrix-5611, plain, ( ~c_Fun_Oinj__on(_u11825, _u11826, _u11827, _u11828) | hBOOL(hAPP(hAPP(c_member(_u11826), _u11829), hAPP(c_Set_Oimage(_u11825, _u11826, _u11827), _u11828))) | c_Fun_Oinj__on(_u11825, _u11826, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11825, _u11826), _u11827), _u11830), _u11829), _u11828) )).
% 13.06/13.32 cnf(matrix-5612, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u11831, _u11832, _u11833, _u11834), _u11835) = c_HOL_OThe(_u11831, hAPP(hAPP(c_COMBS(_u11831, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11831), c_fconj), hAPP(hAPP(c_COMBC(_u11831, tc_fun(_u11831, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11831)), _u11833))), hAPP(hAPP(c_COMBC(_u11831, _u11832, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11832, tc_fun(_u11832, tc_HOL_Obool), _u11831), c_fequal), _u11834)), _u11835)))) )).
% 13.06/13.32 cnf(matrix-5613, 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)))) )).
% 13.06/13.32 cnf(matrix-5614, plain, ( ~class_Orderings_Olinorder(_u11836) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11836, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11836, _u11837, _u11838)), hAPP(c_SetInterval_Oord__class_OatMost(_u11836), _u11839)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11836, _u11837, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11836), _u11838), _u11839))) )).
% 13.06/13.32 cnf(matrix-5615, plain, ( ~class_Orderings_Olinorder(_u11840) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11840, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11840), _u11841)), c_SetInterval_Oord__class_OatLeastAtMost(_u11840, _u11842, _u11843)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11840, _u11842, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11840), _u11841), _u11843))) )).
% 13.06/13.32 cnf(matrix-5616, plain, ( ~class_Orderings_Olinorder(_u11844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11844), _u11845), _u11846)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11844, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11844), _u11845)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11844, _u11845, _u11846)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11844), _u11846)) )).
% 13.06/13.32 cnf(matrix-5617, plain, ( ~class_Orderings_Oorder(_u11847) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11847, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11847), _u11848)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11847, _u11848, _u11849)) = c_Orderings_Obot__class_Obot(tc_fun(_u11847, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5618, plain, ( ~class_Orderings_Oorder(_u11850) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11850, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11850), _u11851)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11850, _u11851, _u11852)) = c_Orderings_Obot__class_Obot(tc_fun(_u11850, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5619, plain, ( ~c_Fun_Oinj__on(_u11853, _u11854, _u11855, _u11856) | ~hBOOL(hAPP(hAPP(c_member(_u11854), _u11857), hAPP(c_Set_Oimage(_u11853, _u11854, _u11855), _u11856))) | ( hAPP(_u11855, hAPP(c_Fun_Othe__inv__into(_u11853, _u11854, _u11856, _u11855), _u11857)) = _u11857) )).
% 13.06/13.32 cnf(matrix-5620, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11858, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11859)), _u11860) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11858, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11858, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11859)), _u11860)), hAPP(_u11860, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.32 cnf(matrix-5621, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11861, tc_Option_Ooption(_u11862)), _u11863), _u11864), hAPP(c_Option_Ooption_OSome(_u11862), _u11865)) != hAPP(c_COMBK(tc_Option_Ooption(_u11862), _u11861), c_Option_Ooption_ONone(_u11862))) )).
% 13.06/13.32 cnf(matrix-5622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11866)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11866) = 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, _u11866)))) )).
% 13.06/13.32 cnf(matrix-5623, plain, ( hBOOL(hAPP(hAPP(c_member(_u11867), _u11868), _u11869)) | ( hAPP(c_Set_Oimage(_u11867, tc_Option_Ooption(_u11870), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11867, tc_Option_Ooption(_u11870)), _u11871), _u11868), hAPP(c_Option_Ooption_OSome(_u11870), _u11872))), _u11869) = hAPP(c_Set_Oimage(_u11867, tc_Option_Ooption(_u11870), _u11871), _u11869)) )).
% 13.06/13.32 cnf(matrix-5624, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11873))) )).
% 13.06/13.32 cnf(matrix-5625, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11874)) = _u11874) )).
% 13.06/13.32 cnf(matrix-5626, plain, ( ~class_Orderings_Olinorder(_u11875) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11876) != hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11877)) | ( _u11876 = _u11877) )).
% 13.06/13.32 cnf(matrix-5627, plain, ( ~class_Orderings_Olinorder(_u11875) | ( _u11876 != _u11877) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11876) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11875), _u11877)) )).
% 13.06/13.32 cnf(matrix-5628, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11878) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11878)) )).
% 13.06/13.32 cnf(matrix-5629, 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))) )).
% 13.06/13.32 cnf(matrix-5630, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11879)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11879), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11879))) )).
% 13.06/13.32 cnf(matrix-5631, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11880)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11880)) )).
% 13.06/13.32 cnf(matrix-5632, plain, ( ~class_Orderings_Oord(_u11881) | ~hBOOL(hAPP(hAPP(c_member(_u11881), _u11882), hAPP(c_SetInterval_Oord__class_OlessThan(_u11881), _u11883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11881), _u11882), _u11883)) )).
% 13.06/13.32 cnf(matrix-5633, plain, ( ~class_Orderings_Oord(_u11881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11881), _u11882), _u11883)) | hBOOL(hAPP(hAPP(c_member(_u11881), _u11882), hAPP(c_SetInterval_Oord__class_OlessThan(_u11881), _u11883))) )).
% 13.06/13.32 cnf(matrix-5634, plain, ( ~class_Orderings_Olinorder(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11884, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11885)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11886))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11884), _u11885), _u11886)) )).
% 13.06/13.32 cnf(matrix-5635, plain, ( ~class_Orderings_Olinorder(_u11884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11884), _u11885), _u11886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11884, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11885)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11884), _u11886))) )).
% 13.06/13.32 cnf(matrix-5636, plain, ( ~class_Orderings_Olinorder(_u11887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11887, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11888)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11889))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11887), _u11888), _u11889)) )).
% 13.06/13.32 cnf(matrix-5637, plain, ( ~class_Orderings_Olinorder(_u11887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11887), _u11888), _u11889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11887, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11888)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11887), _u11889))) )).
% 13.06/13.32 cnf(matrix-5638, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11897, tc_Option_Ooption(_u11899)), _u11901), _u11903), hAPP(c_Option_Ooption_OSome(_u11899), _u11905)), _u11907) != hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) | ( _u11907 = _u11903) | ( hAPP(_u11901, _u11907) = hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) )).
% 13.06/13.32 cnf(matrix-5639, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11897, tc_Option_Ooption(_u11899)), _u11901), _u11903), hAPP(c_Option_Ooption_OSome(_u11899), _u11905)), _u11907) != hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) | ( _u11905 = _u11909) | ( _u11907 != _u11903) )).
% 13.06/13.32 cnf(matrix-5640, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11897, tc_Option_Ooption(_u11899)), _u11901), _u11903), hAPP(c_Option_Ooption_OSome(_u11899), _u11905)), _u11907) != hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) | ( _u11905 = _u11909) | ( hAPP(_u11901, _u11907) = hAPP(c_Option_Ooption_OSome(_u11899), _u11909)) )).
% 13.06/13.32 cnf(matrix-5641, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11898, tc_Option_Ooption(_u11900)), _u11902), _u11904), hAPP(c_Option_Ooption_OSome(_u11900), _u11906)), _u11908) = hAPP(c_Option_Ooption_OSome(_u11900), _u11910)) | ( _u11908 != _u11904) | ( _u11906 != _u11910) )).
% 13.06/13.32 cnf(matrix-5642, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11898, tc_Option_Ooption(_u11900)), _u11902), _u11904), hAPP(c_Option_Ooption_OSome(_u11900), _u11906)), _u11908) = hAPP(c_Option_Ooption_OSome(_u11900), _u11910)) | ( _u11908 = _u11904) | ( hAPP(_u11902, _u11908) != hAPP(c_Option_Ooption_OSome(_u11900), _u11910)) )).
% 13.06/13.32 cnf(matrix-5643, plain, ( ( hAPP(_u11911, _u11912) != hAPP(c_Option_Ooption_OSome(_u11913), _u11914)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11915, tc_Option_Ooption(_u11913)), _u11911), _u11912), hAPP(c_Option_Ooption_OSome(_u11913), _u11914)) = _u11911) )).
% 13.06/13.32 cnf(matrix-5644, plain, ( ( _u11920 = _u11922) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11916, tc_Option_Ooption(_u11917)), _u11918), _u11919), hAPP(c_Option_Ooption_OSome(_u11917), _u11920)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11916, tc_Option_Ooption(_u11917)), _u11921), _u11919), hAPP(c_Option_Ooption_OSome(_u11917), _u11922))) )).
% 13.06/13.32 cnf(matrix-5645, plain, ( ~class_Orderings_Oorder(_u11923) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11923, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11923), _u11924), c_Orderings_Obot__class_Obot(tc_fun(_u11923, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u11923), _u11924)) = hAPP(hAPP(c_Set_Oinsert(_u11923), _u11924), c_Orderings_Obot__class_Obot(tc_fun(_u11923, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5646, plain, ( ~class_Orderings_Olinorder(_u11925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11925), _u11926), _u11927)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11925, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11925), _u11926)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11925, _u11926), _u11927)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11925), _u11927)) )).
% 13.06/13.32 cnf(matrix-5647, plain, ( ~class_Orderings_Oorder(_u11928) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11928, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11928), _u11929)), c_SetInterval_Oord__class_OatLeastAtMost(_u11928, _u11929, _u11930)) = c_Orderings_Obot__class_Obot(tc_fun(_u11928, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5648, plain, ( ~class_Orderings_Oorder(_u11931) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11931, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11931), _u11932)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11931, _u11932), _u11933)) = c_Orderings_Obot__class_Obot(tc_fun(_u11931, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5649, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11934, tc_Option_Ooption(_u11935)), hAPP(c_COMBK(tc_Option_Ooption(_u11935), _u11934), c_Option_Ooption_ONone(_u11935))), _u11936), c_Option_Ooption_ONone(_u11935)), _u11937) = c_Option_Ooption_ONone(_u11935)) )).
% 13.06/13.32 cnf(matrix-5650, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11938)) = 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), _u11938)))) )).
% 13.06/13.32 cnf(matrix-5651, plain, ( ~class_Orderings_Olinorder(_u11939) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11939, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11939), _u11940)), hAPP(hAPP(c_Set_Oinsert(_u11939), _u11940), c_Orderings_Obot__class_Obot(tc_fun(_u11939, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u11939), _u11940)) )).
% 13.06/13.32 cnf(matrix-5652, plain, ( ~class_Orderings_Olinorder(_u11941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11941), _u11942), _u11943)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11941, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11941), _u11942)), c_SetInterval_Oord__class_OatLeastAtMost(_u11941, _u11942, _u11943)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11941), _u11943)) )).
% 13.06/13.32 cnf(matrix-5653, plain, ( ~class_Orderings_Olinorder(_u11944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11944), _u11945), _u11946)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11944, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11944), _u11945)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11944, _u11945, _u11946)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11944), _u11946)) )).
% 13.06/13.32 cnf(matrix-5654, 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), _u11947)), 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))), _u11948))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11949))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11949)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11947), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11947), 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), _u11949), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11948))))) )).
% 13.06/13.32 cnf(matrix-5655, plain, ( ( hAPP(_u11950, _u11951) != c_Option_Ooption_ONone(_u11952)) | ( c_Map_Oran(_u11953, _u11952, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11953, tc_Option_Ooption(_u11952)), _u11950), _u11951), hAPP(c_Option_Ooption_OSome(_u11952), _u11954))) = hAPP(hAPP(c_Set_Oinsert(_u11952), _u11954), c_Map_Oran(_u11953, _u11952, _u11950))) )).
% 13.06/13.32 cnf(matrix-5656, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11960), _u11962), _u11964)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11960, tc_Option_Ooption(_u11966)), c_Map_Orestrict__map(_u11960, _u11966, _u11968, _u11964)), _u11962), c_Option_Ooption_ONone(_u11966)) = c_Map_Orestrict__map(_u11960, _u11966, _u11968, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11960, tc_HOL_Obool)), _u11964), hAPP(hAPP(c_Set_Oinsert(_u11960), _u11962), c_Orderings_Obot__class_Obot(tc_fun(_u11960, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-5657, plain, ( hBOOL(hAPP(hAPP(c_member(_u11961), _u11963), _u11965)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u11961, tc_Option_Ooption(_u11967)), c_Map_Orestrict__map(_u11961, _u11967, _u11969, _u11965)), _u11963), c_Option_Ooption_ONone(_u11967)) = c_Map_Orestrict__map(_u11961, _u11967, _u11969, _u11965)) )).
% 13.06/13.32 cnf(matrix-5658, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11970) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11970), hAPP(c_Groups_Oabs__class_Oabs(_u11970), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11971, _u11970), _u11972), _u11973))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11971, _u11970), hAPP(hAPP(c_COMBB(_u11970, _u11970, _u11971), c_Groups_Oabs__class_Oabs(_u11970)), _u11972)), _u11973))) )).
% 13.06/13.32 cnf(matrix-5659, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11974), c_Groups_Ozero__class_Ozero(_u11974)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11975, _u11974), hAPP(hAPP(c_COMBB(_u11974, _u11974, _u11975), c_Groups_Oabs__class_Oabs(_u11974)), _u11976)), _u11977))) )).
% 13.06/13.32 cnf(matrix-5660, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11978), _u11979), _u11980)) | ( hAPP(c_Map_Orestrict__map(_u11978, _u11981, _u11982, _u11980), _u11979) = hAPP(_u11982, _u11979)) )).
% 13.06/13.32 cnf(matrix-5661, plain, ( ( c_Map_Orestrict__map(_u11983, _u11984, c_Map_Orestrict__map(_u11983, _u11984, _u11985, _u11986), _u11987) = c_Map_Orestrict__map(_u11983, _u11984, _u11985, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11983, tc_HOL_Obool)), _u11986), _u11987))) )).
% 13.06/13.32 cnf(matrix-5662, plain, ( ~class_Groups_Ocomm__monoid__add(_u11988) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11989, _u11988), _u11990), c_Orderings_Obot__class_Obot(tc_fun(_u11989, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11988)) )).
% 13.06/13.32 cnf(matrix-5663, plain, ( ~class_Groups_Ocomm__monoid__add(_u11991) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11992, _u11991), _u11993), c_Orderings_Obot__class_Obot(tc_fun(_u11992, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11991)) )).
% 13.06/13.32 cnf(matrix-5664, plain, ( ~class_Groups_Ocomm__monoid__add(_u11994) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11995), _u11996)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11995, _u11994), _u11997), _u11996) = c_Groups_Ozero__class_Ozero(_u11994)) )).
% 13.06/13.32 cnf(matrix-5665, plain, ( ~class_Groups_Ocomm__monoid__add(_u11998) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11999), _u12000)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11999, _u11998), _u12001), _u12000) = c_Groups_Ozero__class_Ozero(_u11998)) )).
% 13.06/13.32 cnf(matrix-5666, plain, ( ~class_Groups_Oab__group__add(_u12002) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12003, _u12002), hAPP(hAPP(c_COMBB(_u12002, _u12002, _u12003), c_Groups_Ouminus__class_Ouminus(_u12002)), _u12004)), _u12005) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12002), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12003, _u12002), _u12004), _u12005))) )).
% 13.06/13.32 cnf(matrix-5667, plain, ( ~class_Rings_Oring__1(_u12006) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12006), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12007, tc_Int_Oint), _u12008), _u12009)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12007, _u12006), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12006, _u12007), c_Int_Oring__1__class_Oof__int(_u12006)), _u12008)), _u12009)) )).
% 13.06/13.32 cnf(matrix-5668, plain, ( ~class_Groups_Ocomm__monoid__add(_u12010) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12011, _u12010), hAPP(hAPP(c_COMBC(_u12011, tc_fun(_u12012, tc_HOL_Obool), _u12010), hAPP(hAPP(c_COMBB(tc_fun(_u12012, _u12010), tc_fun(tc_fun(_u12012, tc_HOL_Obool), _u12010), _u12011), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12012, _u12010)), _u12013)), _u12014)), _u12015) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12012, _u12010), hAPP(hAPP(c_COMBC(_u12012, tc_fun(_u12011, tc_HOL_Obool), _u12010), hAPP(hAPP(c_COMBB(tc_fun(_u12011, _u12010), tc_fun(tc_fun(_u12011, tc_HOL_Obool), _u12010), _u12012), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12011, _u12010)), hAPP(c_COMBC(_u12011, _u12012, _u12010), _u12013))), _u12015)), _u12014)) )).
% 13.06/13.32 cnf(matrix-5669, plain, ( ~class_Rings_Osemiring__1(_u12016) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12016), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12017, tc_Nat_Onat), _u12018), _u12019)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12017, _u12016), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12016, _u12017), c_Nat_Osemiring__1__class_Oof__nat(_u12016)), _u12018)), _u12019)) )).
% 13.06/13.32 cnf(matrix-5670, plain, ( ~class_Rings_Osemiring__0(_u12020) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12020), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12021, _u12020), _u12022), _u12023)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12024, _u12020), _u12025), _u12026)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12021, _u12020), hAPP(hAPP(c_COMBC(_u12021, tc_fun(_u12024, tc_HOL_Obool), _u12020), hAPP(hAPP(c_COMBB(tc_fun(_u12024, _u12020), tc_fun(tc_fun(_u12024, tc_HOL_Obool), _u12020), _u12021), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12024, _u12020)), hAPP(hAPP(c_COMBC(_u12021, tc_fun(_u12024, _u12020), tc_fun(_u12024, _u12020)), hAPP(hAPP(c_COMBB(tc_fun(_u12020, _u12020), tc_fun(tc_fun(_u12024, _u12020), tc_fun(_u12024, _u12020)), _u12021), c_COMBB(_u12020, _u12020, _u12024)), hAPP(hAPP(c_COMBB(_u12020, tc_fun(_u12020, _u12020), _u12021), c_Groups_Otimes__class_Otimes(_u12020)), _u12022))), _u12025))), _u12026)), _u12023)) )).
% 13.06/13.32 cnf(matrix-5671, plain, ( ~class_Rings_Osemiring__0(_u12027) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12027), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12028, _u12027), _u12029), _u12030)), _u12031) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12028, _u12027), hAPP(hAPP(c_COMBC(_u12028, _u12027, _u12027), hAPP(hAPP(c_COMBB(_u12027, tc_fun(_u12027, _u12027), _u12028), c_Groups_Otimes__class_Otimes(_u12027)), _u12029)), _u12031)), _u12030)) )).
% 13.06/13.32 cnf(matrix-5672, plain, ( ~class_Rings_Osemiring__0(_u12032) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12032), _u12033), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12034, _u12032), _u12035), _u12036)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12034, _u12032), hAPP(hAPP(c_COMBB(_u12032, _u12032, _u12034), hAPP(c_Groups_Otimes__class_Otimes(_u12032), _u12033)), _u12035)), _u12036)) )).
% 13.06/13.32 cnf(matrix-5673, plain, ( ~class_Groups_Ocomm__monoid__add(_u12037) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12038, _u12037), hAPP(hAPP(c_COMBS(_u12038, _u12037, _u12037), hAPP(hAPP(c_COMBB(_u12037, tc_fun(_u12037, _u12037), _u12038), c_Groups_Oplus__class_Oplus(_u12037)), _u12039)), _u12040)), _u12041) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12037), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12038, _u12037), _u12039), _u12041)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12038, _u12037), _u12040), _u12041))) )).
% 13.06/13.32 cnf(matrix-5674, plain, ( ~class_Groups_Ocomm__monoid__add(_u12042) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12043, _u12042), hAPP(c_COMBK(_u12042, _u12043), c_Groups_Ozero__class_Ozero(_u12042))), _u12044) = c_Groups_Ozero__class_Ozero(_u12042)) )).
% 13.06/13.32 cnf(matrix-5675, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12045) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12045), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12046, _u12045), hAPP(hAPP(c_COMBB(_u12045, _u12045, _u12046), c_Groups_Oabs__class_Oabs(_u12045)), _u12047)), _u12048)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12046, _u12045), hAPP(hAPP(c_COMBB(_u12045, _u12045, _u12046), c_Groups_Oabs__class_Oabs(_u12045)), _u12047)), _u12048)) )).
% 13.06/13.32 cnf(matrix-5676, plain, ( ~class_Fields_Ofield(_u12049) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12049), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12050, _u12049), _u12051), _u12052)), _u12053) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12050, _u12049), hAPP(hAPP(c_COMBC(_u12050, _u12049, _u12049), hAPP(hAPP(c_COMBB(_u12049, tc_fun(_u12049, _u12049), _u12050), c_Rings_Oinverse__class_Odivide(_u12049)), _u12051)), _u12053)), _u12052)) )).
% 13.06/13.32 cnf(matrix-5677, plain, ( ~class_Groups_Oab__group__add(_u12054) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12055, _u12054), hAPP(hAPP(c_COMBS(_u12055, _u12054, _u12054), hAPP(hAPP(c_COMBB(_u12054, tc_fun(_u12054, _u12054), _u12055), c_Groups_Ominus__class_Ominus(_u12054)), _u12056)), _u12057)), _u12058) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12055, _u12054), _u12056), _u12058)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12055, _u12054), _u12057), _u12058))) )).
% 13.06/13.32 cnf(matrix-5678, plain, ( ( hAPP(c_Map_Orestrict__map(_u12059, _u12060, hAPP(c_COMBK(tc_Option_Ooption(_u12060), _u12059), c_Option_Ooption_ONone(_u12060)), _u12061), _u12062) = c_Option_Ooption_ONone(_u12060)) )).
% 13.06/13.32 cnf(matrix-5679, plain, ( ~class_Groups_Ocomm__monoid__add(_u12063) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12064), _u12065)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12064, _u12063), hAPP(hAPP(c_COMBS(_u12064, _u12063, _u12063), hAPP(hAPP(c_COMBB(_u12063, tc_fun(_u12063, _u12063), _u12064), c_Groups_Oplus__class_Oplus(_u12063)), _u12066)), _u12067)), _u12065) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12063), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12064, _u12063), _u12066), _u12065)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12064, _u12063), _u12067), _u12065))) )).
% 13.06/13.32 cnf(matrix-5680, plain, ( ~class_Groups_Ocomm__monoid__add(_u12068) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12068), _u12069), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12070)), hAPP(c_Nat_OSuc, _u12071))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12068), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12068, tc_Nat_Onat), _u12069), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12070), _u12071))) )).
% 13.06/13.32 cnf(matrix-5681, plain, ( ~class_Groups_Ocomm__monoid__add(_u12072) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12072), _u12073), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12074), _u12075)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12076), _u12075))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12072), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12072, tc_Nat_Onat), _u12073), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12075))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12074), _u12076))) )).
% 13.06/13.32 cnf(matrix-5682, plain, ( ~class_Groups_Ocomm__monoid__add(_u12077) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12077), _u12078), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12079), hAPP(c_Nat_OSuc, _u12080))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12077), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12077, tc_Nat_Onat), _u12078), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12079, _u12080))) )).
% 13.06/13.32 cnf(matrix-5683, plain, ( ~class_Groups_Ocomm__monoid__add(_u12081) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12081), _u12082), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12083), _u12084), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12085), _u12084))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12081), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12081, tc_Nat_Onat), _u12082), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12084))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12083, _u12085))) )).
% 13.06/13.32 cnf(matrix-5684, plain, ( hBOOL(hAPP(hAPP(c_member(_u12086), _u12087), _u12088)) | ( hAPP(c_Map_Orestrict__map(_u12086, _u12089, _u12090, _u12088), _u12087) = c_Option_Ooption_ONone(_u12089)) )).
% 13.06/13.32 cnf(matrix-5685, plain, ( ( c_Map_Orestrict__map(_u12091, _u12092, _u12093, hAPP(hAPP(c_Set_Oinsert(_u12091), _u12094), _u12095)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12091, tc_Option_Ooption(_u12092)), c_Map_Orestrict__map(_u12091, _u12092, _u12093, _u12095)), _u12094), hAPP(_u12093, _u12094))) )).
% 13.06/13.32 cnf(matrix-5686, plain, ( ~class_Groups_Ocomm__monoid__add(_u12096) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12097), _u12098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12098), _u12099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12096), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12096), _u12100), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12097), _u12098))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12096), _u12100), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12098), _u12099))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12096), _u12100), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12097), _u12099))) )).
% 13.06/13.32 cnf(matrix-5687, plain, ( ~class_Groups_Oab__group__add(_u12101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12102), _u12103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12103), _u12104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12101), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12101), _u12105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12102), _u12104))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12101), _u12105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12102), _u12103))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12101), _u12105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12103), _u12104))) )).
% 13.06/13.32 cnf(matrix-5688, plain, ( ~class_Groups_Ocomm__monoid__add(_u12106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12107), _u12108)) | ~hBOOL(hAPP(hAPP(c_member(_u12107), _u12109), _u12108)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12107, _u12106), hAPP(hAPP(c_COMBC(_u12107, _u12106, _u12106), hAPP(hAPP(c_COMBS(_u12107, _u12106, tc_fun(_u12106, _u12106)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12106, tc_fun(_u12106, _u12106)), _u12107), c_If(_u12106)), hAPP(hAPP(c_COMBC(_u12107, _u12107, tc_HOL_Obool), c_fequal), _u12109))), _u12110)), c_Groups_Ozero__class_Ozero(_u12106))), _u12108) = hAPP(_u12110, _u12109)) )).
% 13.06/13.32 cnf(matrix-5689, plain, ( ~class_Groups_Ocomm__monoid__add(_u12106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12107), _u12108)) | hBOOL(hAPP(hAPP(c_member(_u12107), _u12109), _u12108)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12107, _u12106), hAPP(hAPP(c_COMBC(_u12107, _u12106, _u12106), hAPP(hAPP(c_COMBS(_u12107, _u12106, tc_fun(_u12106, _u12106)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12106, tc_fun(_u12106, _u12106)), _u12107), c_If(_u12106)), hAPP(hAPP(c_COMBC(_u12107, _u12107, tc_HOL_Obool), c_fequal), _u12109))), _u12110)), c_Groups_Ozero__class_Ozero(_u12106))), _u12108) = c_Groups_Ozero__class_Ozero(_u12106)) )).
% 13.06/13.32 cnf(matrix-5690, plain, ( ~class_Groups_Ocomm__monoid__add(_u12111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12112), _u12113)) | ~hBOOL(hAPP(hAPP(c_member(_u12112), _u12114), _u12113)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12112, _u12111), hAPP(hAPP(c_COMBC(_u12112, _u12111, _u12111), hAPP(hAPP(c_COMBS(_u12112, _u12111, tc_fun(_u12111, _u12111)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12111, tc_fun(_u12111, _u12111)), _u12112), c_If(_u12111)), hAPP(c_fequal, _u12114))), _u12115)), c_Groups_Ozero__class_Ozero(_u12111))), _u12113) = hAPP(_u12115, _u12114)) )).
% 13.06/13.32 cnf(matrix-5691, plain, ( ~class_Groups_Ocomm__monoid__add(_u12111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12112), _u12113)) | hBOOL(hAPP(hAPP(c_member(_u12112), _u12114), _u12113)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12112, _u12111), hAPP(hAPP(c_COMBC(_u12112, _u12111, _u12111), hAPP(hAPP(c_COMBS(_u12112, _u12111, tc_fun(_u12111, _u12111)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12111, tc_fun(_u12111, _u12111)), _u12112), c_If(_u12111)), hAPP(c_fequal, _u12114))), _u12115)), c_Groups_Ozero__class_Ozero(_u12111))), _u12113) = c_Groups_Ozero__class_Ozero(_u12111)) )).
% 13.06/13.32 cnf(matrix-5692, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12121), _u12123), _u12125)) | ( hAPP(c_Map_Orestrict__map(_u12121, _u12127, _u12129, _u12125), _u12123) = hAPP(_u12129, _u12123)) )).
% 13.06/13.32 cnf(matrix-5693, plain, ( hBOOL(hAPP(hAPP(c_member(_u12122), _u12124), _u12126)) | ( hAPP(c_Map_Orestrict__map(_u12122, _u12128, _u12130, _u12126), _u12124) = c_Option_Ooption_ONone(_u12128)) )).
% 13.06/13.32 cnf(matrix-5694, plain, ( ( hAPP(c_Map_Orestrict__map(_u12131, _u12132, _u12133, c_Orderings_Obot__class_Obot(tc_fun(_u12131, tc_HOL_Obool))), _u12134) = c_Option_Ooption_ONone(_u12132)) )).
% 13.06/13.32 cnf(matrix-5695, plain, ( ~class_Rings_Osemiring__1(_u12135) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12136, _u12135), hAPP(c_COMBK(_u12135, _u12136), _u12137)), _u12138) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12135), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12135), hAPP(c_Finite__Set_Ocard(_u12136), _u12138))), _u12137)) )).
% 13.06/13.32 cnf(matrix-5696, plain, ( ~class_Groups_Ocomm__monoid__add(_u12139) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12139), _u12140), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12141))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12139), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12139), _u12140), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12141))), hAPP(_u12140, _u12141))) )).
% 13.06/13.32 cnf(matrix-5697, plain, ( ~class_Groups_Ocomm__monoid__add(_u12142) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12142), _u12143), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12144))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12142), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12142), _u12143), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12144))), hAPP(_u12143, hAPP(c_Nat_OSuc, _u12144)))) )).
% 13.06/13.32 cnf(matrix-5698, plain, ( ~class_Groups_Ocomm__monoid__add(_u12145) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12146), _u12147)) | hBOOL(hAPP(hAPP(c_member(_u12146), _u12148), _u12147)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12146, _u12145), _u12149), hAPP(hAPP(c_Set_Oinsert(_u12146), _u12148), _u12147)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12145), hAPP(_u12149, _u12148)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12146, _u12145), _u12149), _u12147))) )).
% 13.06/13.32 cnf(matrix-5699, plain, ( ~class_Groups_Ocomm__monoid__add(_u12150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12151), _u12152)) | hBOOL(hAPP(hAPP(c_member(_u12151), _u12153), _u12152)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12151, _u12150), _u12154), hAPP(hAPP(c_Set_Oinsert(_u12151), _u12153), _u12152)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12150), hAPP(_u12154, _u12153)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12151, _u12150), _u12154), _u12152))) )).
% 13.06/13.32 cnf(matrix-5700, plain, ( ~class_Groups_Ocomm__monoid__add(_u12155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12156), _u12157)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12156), _u12158)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12155), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12156, tc_HOL_Obool)), _u12157), _u12158))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12156, tc_HOL_Obool)), _u12157), _u12158))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12155), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), _u12157)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12156, _u12155), _u12159), _u12158))) )).
% 13.06/13.32 cnf(matrix-5701, plain, ( ~class_Groups_Oab__group__add(_u12160) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12161), _u12162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12161, tc_HOL_Obool)), _u12163), _u12162)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12161, _u12160), _u12164), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12161, tc_HOL_Obool)), _u12162), _u12163)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12160), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12161, _u12160), _u12164), _u12162)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12161, _u12160), _u12164), _u12163))) )).
% 13.06/13.32 cnf(matrix-5702, plain, ( ~class_Groups_Ocomm__monoid__add(_u12165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12166), _u12167)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12166, _u12165), _u12168), _u12167) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12165, _u12166, c_Groups_Oplus__class_Oplus(_u12165)), _u12168), c_Groups_Ozero__class_Ozero(_u12165)), _u12167)) )).
% 13.06/13.32 cnf(matrix-5703, plain, ( ~class_Groups_Ocomm__monoid__add(_u12169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12170), _u12171)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12170, _u12169), _u12172), _u12171) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12169, _u12170, c_Groups_Oplus__class_Oplus(_u12169)), _u12172), c_Groups_Ozero__class_Ozero(_u12169)), _u12171)) )).
% 13.06/13.32 cnf(matrix-5704, plain, ( ~class_Groups_Ocomm__monoid__add(_u12169) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12170), _u12171)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12170, _u12169), _u12172), _u12171) = c_Groups_Ozero__class_Ozero(_u12169)) )).
% 13.06/13.32 cnf(matrix-5705, plain, ( ~class_Groups_Ocomm__monoid__add(_u12173) | ( hAPP(_u12174, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u12173)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12173), _u12174), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u12175)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12173), _u12174), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12175))) )).
% 13.06/13.32 cnf(matrix-5706, plain, ( ~class_Groups_Ocomm__monoid__add(_u12176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12177), _u12178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12176), _u12179), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12177), _u12178)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12176), hAPP(_u12179, _u12177)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12176), _u12179), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12177)), _u12178)))) )).
% 13.06/13.32 cnf(matrix-5707, plain, ( ~class_Groups_Ocomm__monoid__add(_u12180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12181), _u12182)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12180), _u12183), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12181, _u12182)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12180), hAPP(_u12183, _u12181)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12180), _u12183), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12181), _u12182)))) )).
% 13.06/13.32 cnf(matrix-5708, plain, ( ~class_Groups_Ocomm__monoid__add(_u12184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12185), _u12186)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12185, _u12184), _u12187), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12185, tc_HOL_Obool)), _u12186), _u12188)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12185, _u12184), hAPP(hAPP(c_COMBC(_u12185, _u12184, _u12184), hAPP(hAPP(c_COMBS(_u12185, _u12184, tc_fun(_u12184, _u12184)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12184, tc_fun(_u12184, _u12184)), _u12185), c_If(_u12184)), hAPP(hAPP(c_COMBC(_u12185, tc_fun(_u12185, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12185)), _u12188))), _u12187)), c_Groups_Ozero__class_Ozero(_u12184))), _u12186)) )).
% 13.06/13.32 cnf(matrix-5709, plain, ( ( hAPP(_u12189, _u12190) != hAPP(c_Option_Ooption_OSome(_u12191), _u12192)) | hBOOL(hAPP(hAPP(c_member(_u12191), _u12192), c_Map_Oran(_u12193, _u12191, _u12189))) )).
% 13.06/13.32 cnf(matrix-5710, plain, ( ~class_Groups_Ocomm__monoid__add(_u12194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12195), _u12196)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12195, _u12194), _u12197), hAPP(hAPP(c_Set_Oinsert(_u12195), _u12198), _u12196)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12194), hAPP(_u12197, _u12198)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12195, _u12194), _u12197), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12195, tc_HOL_Obool)), _u12196), hAPP(hAPP(c_Set_Oinsert(_u12195), _u12198), c_Orderings_Obot__class_Obot(tc_fun(_u12195, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5711, plain, ( ~class_Groups_Ocomm__monoid__add(_u12199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12200), _u12201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12200), _u12202)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12200, tc_HOL_Obool)), _u12201), _u12202) != c_Orderings_Obot__class_Obot(tc_fun(_u12200, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12200, _u12199), _u12203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12200, tc_HOL_Obool)), _u12201), _u12202)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12199), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12200, _u12199), _u12203), _u12201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12200, _u12199), _u12203), _u12202))) )).
% 13.06/13.32 cnf(matrix-5712, plain, ( ~class_Groups_Oab__group__add(_u12204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12205), _u12206)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12205), _u12207)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12205, tc_HOL_Obool)), _u12206), _u12207)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12204), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12204), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), _u12206)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), _u12207))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12205, _u12204), _u12208), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12205, tc_HOL_Obool)), _u12206), _u12207)))) )).
% 13.06/13.32 cnf(matrix-5713, plain, ( ~class_Groups_Ocomm__monoid__add(_u12209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12210), _u12211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12209), _u12212), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12211), hAPP(c_Nat_OSuc, _u12210))) = c_Groups_Ozero__class_Ozero(_u12209)) )).
% 13.06/13.32 cnf(matrix-5714, plain, ( ~class_Groups_Ocomm__monoid__add(_u12209) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12210), _u12211)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12209), _u12212), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12211), hAPP(c_Nat_OSuc, _u12210))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12209), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12209), _u12212), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12211), _u12210))), hAPP(_u12212, _u12210))) )).
% 13.06/13.32 cnf(matrix-5715, plain, ( ~class_Groups_Ocomm__monoid__add(_u12213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12214)), _u12215)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12213), _u12216), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12215, hAPP(c_Nat_OSuc, _u12214))) = c_Groups_Ozero__class_Ozero(_u12213)) )).
% 13.06/13.32 cnf(matrix-5716, plain, ( ~class_Groups_Ocomm__monoid__add(_u12213) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12214)), _u12215)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12213), _u12216), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12215, hAPP(c_Nat_OSuc, _u12214))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12213), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12213), _u12216), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12215, _u12214))), hAPP(_u12216, hAPP(c_Nat_OSuc, _u12214)))) )).
% 13.06/13.32 cnf(matrix-5717, plain, ( ~class_Groups_Ocomm__monoid__add(_u12217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12218), _u12219)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12217), _u12220), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12218, _u12219)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12217), hAPP(_u12220, _u12218)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12217), _u12220), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u12218, _u12219)))) )).
% 13.06/13.32 cnf(matrix-5718, plain, ( ~class_Groups_Ocomm__monoid__add(_u12221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12221), _u12224), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12222, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), _u12225))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12221), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12221), _u12224), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12222, _u12223))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12221), _u12224), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12223), _u12225))))) )).
% 13.06/13.32 cnf(matrix-5719, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12226, tc_Option_Ooption(_u12227)), c_Map_Orestrict__map(_u12226, _u12227, _u12228, _u12229)), _u12230), _u12231) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12226, tc_Option_Ooption(_u12227)), c_Map_Orestrict__map(_u12226, _u12227, _u12228, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12226, tc_HOL_Obool)), _u12229), hAPP(hAPP(c_Set_Oinsert(_u12226), _u12230), c_Orderings_Obot__class_Obot(tc_fun(_u12226, tc_HOL_Obool)))))), _u12230), _u12231)) )).
% 13.06/13.32 cnf(matrix-5720, plain, ( ( c_Map_Oran(_u12232, _u12233, hAPP(c_COMBK(tc_Option_Ooption(_u12233), _u12232), c_Option_Ooption_ONone(_u12233))) = c_Orderings_Obot__class_Obot(tc_fun(_u12233, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5721, plain, ( ~class_Groups_Ocomm__monoid__add(_u12234) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12235), _u12236)) | ~hBOOL(hAPP(hAPP(c_member(_u12235), _u12237), _u12236)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12235, _u12234), _u12238), _u12236) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12234), hAPP(_u12238, _u12237)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12235, _u12234), _u12238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12235, tc_HOL_Obool)), _u12236), hAPP(hAPP(c_Set_Oinsert(_u12235), _u12237), c_Orderings_Obot__class_Obot(tc_fun(_u12235, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5722, plain, ( ~class_Groups_Ocomm__monoid__add(_u12239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12240), _u12241)) | ~hBOOL(hAPP(hAPP(c_member(_u12240), _u12242), _u12241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12240, _u12239), _u12243), _u12241) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12239), hAPP(_u12243, _u12242)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12240, _u12239), _u12243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12240, tc_HOL_Obool)), _u12241), hAPP(hAPP(c_Set_Oinsert(_u12240), _u12242), c_Orderings_Obot__class_Obot(tc_fun(_u12240, tc_HOL_Obool))))))) )).
% 13.06/13.32 cnf(matrix-5723, plain, ( ~class_Rings_Oring(_u12244) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12245), _u12246)) | ~hBOOL(hAPP(hAPP(c_member(_u12245), _u12247), _u12246)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12245, _u12244), _u12248), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12245, tc_HOL_Obool)), _u12246), hAPP(hAPP(c_Set_Oinsert(_u12245), _u12247), c_Orderings_Obot__class_Obot(tc_fun(_u12245, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12244), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12245, _u12244), _u12248), _u12246)), hAPP(_u12248, _u12247))) )).
% 13.06/13.32 cnf(matrix-5724, plain, ( ~class_Groups_Oab__group__add(_u12249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12250), _u12251)) | ~hBOOL(hAPP(hAPP(c_member(_u12250), _u12252), _u12251)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12250, tc_HOL_Obool)), _u12251), hAPP(hAPP(c_Set_Oinsert(_u12250), _u12252), c_Orderings_Obot__class_Obot(tc_fun(_u12250, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12249), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), _u12251)), hAPP(_u12253, _u12252))) )).
% 13.06/13.32 cnf(matrix-5725, plain, ( ~class_Groups_Oab__group__add(_u12249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12250), _u12251)) | hBOOL(hAPP(hAPP(c_member(_u12250), _u12252), _u12251)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12250, tc_HOL_Obool)), _u12251), hAPP(hAPP(c_Set_Oinsert(_u12250), _u12252), c_Orderings_Obot__class_Obot(tc_fun(_u12250, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12250, _u12249), _u12253), _u12251)) )).
% 13.06/13.32 cnf(matrix-5726, plain, ( ~class_Fields_Ofield(_u12254) | ( _u12255 = c_Groups_Oone__class_Oone(_u12254)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12254), hAPP(c_Power_Opower__class_Opower(_u12254), _u12255)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12256)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12254), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12254), hAPP(hAPP(c_Power_Opower__class_Opower(_u12254), _u12255), _u12256)), c_Groups_Oone__class_Oone(_u12254))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12254), _u12255), c_Groups_Oone__class_Oone(_u12254)))) )).
% 13.06/13.32 cnf(matrix-5727, plain, ( ~class_Rings_Ocomm__semiring__1(_u12257) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12257), c_Groups_Oone__class_Oone(_u12257)), c_Groups_Oone__class_Oone(_u12257))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12257), c_Nat_Osemiring__1__class_Oof__nat(_u12257)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u12258))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12257), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12257), _u12258)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12257), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12257), _u12258)), c_Groups_Oone__class_Oone(_u12257)))) )).
% 13.06/13.32 cnf(matrix-5728, plain, ( ~class_Groups_Oab__group__add(_u12259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12260, _u12261)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12259), hAPP(_u12262, _u12260)), hAPP(_u12262, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12261), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 13.06/13.32 cnf(matrix-5729, plain, ( ~class_Groups_Oab__group__add(_u12259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12260, _u12261)) = c_Groups_Ozero__class_Ozero(_u12259)) )).
% 13.06/13.32 cnf(matrix-5730, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12263), _u12264), _u12265)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12263, tc_Option_Ooption(_u12266)), c_Map_Orestrict__map(_u12263, _u12266, _u12267, _u12265)), _u12264), _u12268) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12263, tc_Option_Ooption(_u12266)), c_Map_Orestrict__map(_u12263, _u12266, _u12267, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12263, tc_HOL_Obool)), _u12265), hAPP(hAPP(c_Set_Oinsert(_u12263), _u12264), c_Orderings_Obot__class_Obot(tc_fun(_u12263, tc_HOL_Obool)))))), _u12264), _u12268)) )).
% 13.06/13.32 cnf(matrix-5731, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12275), _u12277), _u12279)) | ( c_Map_Orestrict__map(_u12275, _u12281, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12275, tc_Option_Ooption(_u12281)), _u12283), _u12277), _u12285), _u12279) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12275, tc_Option_Ooption(_u12281)), c_Map_Orestrict__map(_u12275, _u12281, _u12283, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12275, tc_HOL_Obool)), _u12279), hAPP(hAPP(c_Set_Oinsert(_u12275), _u12277), c_Orderings_Obot__class_Obot(tc_fun(_u12275, tc_HOL_Obool)))))), _u12277), _u12285)) )).
% 13.06/13.32 cnf(matrix-5732, plain, ( hBOOL(hAPP(hAPP(c_member(_u12276), _u12278), _u12280)) | ( c_Map_Orestrict__map(_u12276, _u12282, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12276, tc_Option_Ooption(_u12282)), _u12284), _u12278), _u12286), _u12280) = c_Map_Orestrict__map(_u12276, _u12282, _u12284, _u12280)) )).
% 13.06/13.32 cnf(matrix-5733, plain, ( ( c_Map_Orestrict__map(_u12287, _u12288, _u12289, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12287), _u12290), c_Orderings_Obot__class_Obot(tc_fun(_u12287, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12287, tc_Option_Ooption(_u12288)), _u12289), _u12290), c_Option_Ooption_ONone(_u12288))) )).
% 13.06/13.32 cnf(matrix-5734, plain, ( ( c_Map_Orestrict__map(_u12291, _u12292, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12291, tc_Option_Ooption(_u12292)), _u12293), _u12294), hAPP(c_Option_Ooption_OSome(_u12292), _u12295)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12291, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12291), _u12294), c_Orderings_Obot__class_Obot(tc_fun(_u12291, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u12291, _u12292, _u12293, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12291, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12291), _u12294), c_Orderings_Obot__class_Obot(tc_fun(_u12291, tc_HOL_Obool)))))) )).
% 13.06/13.32 cnf(matrix-5735, plain, ( ~class_Rings_Ocomm__semiring__1(_u12296) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12296), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12296), c_Groups_Oone__class_Oone(_u12296)), c_Groups_Oone__class_Oone(_u12296))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12296), hAPP(hAPP(c_COMBB(_u12296, _u12296, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u12296), _u12297)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u12296, _u12296), hAPP(hAPP(c_COMBB(_u12296, tc_fun(_u12296, _u12296), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u12296)), c_Nat_Osemiring__1__class_Oof__nat(_u12296))), _u12298))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12299))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12296), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12296), _u12299)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12296), _u12297), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12296), _u12297), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12296), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12296), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u12299), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u12298))))) )).
% 13.06/13.32 cnf(matrix-5736, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u12301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12302), _u12303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12302, tc_HOL_Obool)), _u12304), _u12303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12304)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12303))) | hBOOL(hAPP(hAPP(c_member(_u12302), skolem251(_u12305, _u12304, _u12303, _u12302, _u12301)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12302, tc_HOL_Obool)), _u12303), _u12304))) )).
% 13.06/13.32 cnf(matrix-5737, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u12301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12302), _u12303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12302, tc_HOL_Obool)), _u12304), _u12303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12301), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12304)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12302, _u12301), _u12305), _u12303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12301), c_Groups_Ozero__class_Ozero(_u12301)), hAPP(_u12305, skolem251(_u12305, _u12304, _u12303, _u12302, _u12301)))) )).
% 13.06/13.32 cnf(matrix-5738, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u12307) | ~class_Rings_Osemiring__1(_u12307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12307), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12308, _u12307), _u12310), _u12309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12307), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12307), hAPP(c_Finite__Set_Ocard(_u12308), _u12309))), _u12311))) | hBOOL(hAPP(hAPP(c_member(_u12308), skolem252(_u12311, _u12310, _u12309, _u12308, _u12307)), _u12309)) )).
% 13.06/13.32 cnf(matrix-5739, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u12307) | ~class_Rings_Osemiring__1(_u12307) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12307), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12308, _u12307), _u12310), _u12309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12307), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12307), hAPP(c_Finite__Set_Ocard(_u12308), _u12309))), _u12311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12307), hAPP(_u12310, skolem252(_u12311, _u12310, _u12309, _u12308, _u12307))), _u12311)) )).
% 13.06/13.32 cnf(matrix-5740, plain, ( ~class_Groups_Ocomm__monoid__add(_u12313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12316)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12314, tc_HOL_Obool)), _u12315), _u12316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12313), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12315)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12316))) | hBOOL(hAPP(hAPP(c_member(_u12314), skolem253(_u12317, _u12316, _u12315, _u12314, _u12313)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12314, tc_HOL_Obool)), _u12315), _u12316))) )).
% 13.06/13.32 cnf(matrix-5741, plain, ( ~class_Groups_Ocomm__monoid__add(_u12313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12315)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12314), _u12316)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12314, tc_HOL_Obool)), _u12315), _u12316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12313), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12315)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12314, _u12313), _u12317), _u12316))) | ( hAPP(_u12317, skolem253(_u12317, _u12316, _u12315, _u12314, _u12313)) != c_Groups_Ozero__class_Ozero(_u12313)) )).
% 13.06/13.32 cnf(matrix-5742, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12320), _u12321)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12320, tc_Nat_Onat), _u12322), _u12321) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12320), _u12318), _u12321)) | ( hAPP(_u12322, _u12318) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5743, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12320), _u12321)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12320, tc_Nat_Onat), _u12322), _u12321) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u12320), skolem254(_u12322, _u12321, _u12320)), _u12321)) )).
% 13.06/13.32 cnf(matrix-5744, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12320), _u12321)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12320, tc_Nat_Onat), _u12322), _u12321) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u12322, skolem254(_u12322, _u12321, _u12320)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5745, plain, ( ( hAPP(c_Finite__Set_Ocard(_u12323), _u12324) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12323, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u12323), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u12324)) )).
% 13.06/13.32 cnf(matrix-5746, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12325, tc_Nat_Onat), _u12326), _u12327)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12325, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u12325), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12326)), _u12327)) )).
% 13.06/13.32 cnf(matrix-5747, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u12332), skolem255(_u12334, _u12333, _u12332)), _u12333)) )).
% 13.06/13.32 cnf(matrix-5748, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u12334, skolem255(_u12334, _u12333, _u12332)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.32 cnf(matrix-5749, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12328), _u12333)) | ( skolem255(_u12334, _u12333, _u12332) = _u12328) | ( hAPP(_u12334, _u12328) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5750, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12331), _u12333)) | ( hAPP(_u12334, _u12331) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u12332), skolem256(_u12334, _u12333, _u12332, _u12331)), _u12333)) )).
% 13.06/13.32 cnf(matrix-5751, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12331), _u12333)) | ( hAPP(_u12334, _u12331) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u12331 != skolem256(_u12334, _u12333, _u12332, _u12331)) )).
% 13.06/13.32 cnf(matrix-5752, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12332), _u12333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12332, tc_Nat_Onat), _u12334), _u12333) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12331), _u12333)) | ( hAPP(_u12334, _u12331) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u12334, skolem256(_u12334, _u12333, _u12332, _u12331)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5753, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u12339), skolem257(_u12341, _u12340, _u12339)), _u12340)) )).
% 13.06/13.32 cnf(matrix-5754, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u12341, skolem257(_u12341, _u12340, _u12339)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5755, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12335), _u12340)) | ( skolem257(_u12341, _u12340, _u12339) = _u12335) | ( hAPP(_u12341, _u12335) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5756, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12338), _u12340)) | ( hAPP(_u12341, _u12338) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u12339), skolem258(_u12341, _u12340, _u12339, _u12338)), _u12340)) )).
% 13.06/13.32 cnf(matrix-5757, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12338), _u12340)) | ( hAPP(_u12341, _u12338) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u12338 != skolem258(_u12341, _u12340, _u12339, _u12338)) )).
% 13.06/13.32 cnf(matrix-5758, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12339), _u12340)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12339, tc_Nat_Onat), _u12341), _u12340) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u12339), _u12338), _u12340)) | ( hAPP(_u12341, _u12338) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u12341, skolem258(_u12341, _u12340, _u12339, _u12338)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.32 cnf(matrix-5759, plain, ( ( hAPP(_u12342, 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), _u12342), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12343)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12342), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12343))) )).
% 13.06/13.32 cnf(matrix-5760, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12344, tc_Nat_Onat), _u12345), _u12346) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12344, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u12344), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12345)), _u12346))) )).
% 13.06/13.32 cnf(matrix-5761, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12347), _u12348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12347, tc_HOL_Obool)), _u12348), _u12349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12347, tc_Nat_Onat), _u12350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12347, tc_HOL_Obool)), _u12349), _u12348)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12347, tc_Nat_Onat), _u12350), _u12349)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12347, tc_Nat_Onat), _u12350), _u12348))) )).
% 13.06/13.32 cnf(matrix-5762, plain, ( ~class_Groups_Ocomm__monoid__add(_u12351) | ~class_Groups_Ocomm__monoid__mult(_u12351) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12351), _u12352), _u12353) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12351), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12351, tc_Int_Oint), _u12352), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u12353))) )).
% 13.06/13.32 cnf(matrix-5763, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12358), _u12360), _u12362)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12358, tc_Nat_Onat), _u12364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12358, tc_HOL_Obool)), _u12362), hAPP(hAPP(c_Set_Oinsert(_u12358), _u12360), c_Orderings_Obot__class_Obot(tc_fun(_u12358, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12358, tc_Nat_Onat), _u12364), _u12362)), hAPP(_u12364, _u12360))) )).
% 13.06/13.32 cnf(matrix-5764, plain, ( hBOOL(hAPP(hAPP(c_member(_u12359), _u12361), _u12363)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12359, tc_Nat_Onat), _u12365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12359, tc_HOL_Obool)), _u12363), hAPP(hAPP(c_Set_Oinsert(_u12359), _u12361), c_Orderings_Obot__class_Obot(tc_fun(_u12359, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12359, tc_Nat_Onat), _u12365), _u12363)) )).
% 13.06/13.32 cnf(matrix-5765, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12366), _u12367)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12366), _u12368)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12366, tc_Nat_Onat), _u12369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12366, tc_HOL_Obool)), _u12367), _u12368)) = 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(_u12366, tc_Nat_Onat), _u12369), _u12367)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12366, tc_Nat_Onat), _u12369), _u12368))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12366, tc_Nat_Onat), _u12369), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12366, tc_HOL_Obool)), _u12367), _u12368)))) )).
% 13.06/13.32 cnf(matrix-5766, plain, ( ~class_Groups_Ocomm__monoid__add(_u12370) | ~class_Groups_Ocomm__monoid__mult(_u12370) | ~c_Nat__Transfer_Onat__set(_u12371) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12370), _u12372), _u12371) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12370), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u12370, tc_Nat_Onat), _u12372), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u12371))) )).
% 13.06/13.32 cnf(matrix-5767, 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), _u12373)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u12374))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12375))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12375), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12373), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u12375), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u12374))))) )).
% 13.06/13.32 cnf(matrix-5768, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Int_Oint), _u12379), _u12378) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u12377), c_Int_Onat), _u12379)), _u12378))) | hBOOL(hAPP(hAPP(c_member(_u12377), skolem259(_u12379, _u12378, _u12377)), _u12378)) )).
% 13.06/13.32 cnf(matrix-5769, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Int_Oint), _u12379), _u12378) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12377, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u12377), c_Int_Onat), _u12379)), _u12378))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u12379, skolem259(_u12379, _u12378, _u12377))) )).
% 13.06/13.32 cnf(matrix-5770, plain, ( ~class_Groups_Ocomm__monoid__add(_u12381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12383)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12384)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12381), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12383)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12384))) | hBOOL(hAPP(hAPP(c_member(_u12382), skolem260(_u12385, _u12384, _u12383, _u12382, _u12381)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384))) )).
% 13.06/13.32 cnf(matrix-5771, plain, ( ~class_Groups_Ocomm__monoid__add(_u12381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12383)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12382), _u12384)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12382, tc_HOL_Obool)), _u12383), _u12384)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12381), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12383)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12382, _u12381), _u12385), _u12384))) | ( hAPP(_u12385, skolem260(_u12385, _u12384, _u12383, _u12382, _u12381)) != c_Groups_Ozero__class_Ozero(_u12381)) )).
% 13.06/13.32 cnf(matrix-5772, plain, ( ~class_Groups_Ocomm__monoid__add(_u12387) | ~class_Groups_Oordered__ab__semigroup__add(_u12387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12388), _u12389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12388, tc_HOL_Obool)), _u12390), _u12389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12387), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12390)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12389))) | hBOOL(hAPP(hAPP(c_member(_u12388), skolem261(_u12391, _u12390, _u12389, _u12388, _u12387)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12388, tc_HOL_Obool)), _u12389), _u12390))) )).
% 13.06/13.32 cnf(matrix-5773, plain, ( ~class_Groups_Ocomm__monoid__add(_u12387) | ~class_Groups_Oordered__ab__semigroup__add(_u12387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12388), _u12389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12388, tc_HOL_Obool)), _u12390), _u12389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12387), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12390)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12388, _u12387), _u12391), _u12389))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12387), c_Groups_Ozero__class_Ozero(_u12387)), hAPP(_u12391, skolem261(_u12391, _u12390, _u12389, _u12388, _u12387)))) )).
% 13.06/13.32 cnf(matrix-5774, plain, ( ~class_Groups_Oordered__ab__group__add(_u12393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12394), _u12395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12394, _u12393), _u12396), _u12395) != c_Groups_Ozero__class_Ozero(_u12393)) | ~hBOOL(hAPP(hAPP(c_member(_u12394), _u12397), _u12395)) | ( hAPP(_u12396, _u12397) = c_Groups_Ozero__class_Ozero(_u12393)) | hBOOL(hAPP(hAPP(c_member(_u12394), skolem262(_u12397, _u12396, _u12395, _u12394, _u12393)), _u12395)) )).
% 13.06/13.32 cnf(matrix-5775, plain, ( ~class_Groups_Oordered__ab__group__add(_u12393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12394), _u12395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12394, _u12393), _u12396), _u12395) != c_Groups_Ozero__class_Ozero(_u12393)) | ~hBOOL(hAPP(hAPP(c_member(_u12394), _u12397), _u12395)) | ( hAPP(_u12396, _u12397) = c_Groups_Ozero__class_Ozero(_u12393)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12393), c_Groups_Ozero__class_Ozero(_u12393)), hAPP(_u12396, skolem262(_u12397, _u12396, _u12395, _u12394, _u12393)))) )).
% 13.06/13.32 cnf(matrix-5776, plain, ( ~class_Groups_Oordered__ab__group__add(_u12399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12400), _u12401)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12400, _u12399), _u12402), _u12401) != _u12403) | ~hBOOL(hAPP(hAPP(c_member(_u12400), _u12404), _u12401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12399), hAPP(_u12402, _u12404)), _u12403)) | hBOOL(hAPP(hAPP(c_member(_u12400), skolem263(_u12404, _u12403, _u12402, _u12401, _u12400, _u12399)), _u12401)) )).
% 13.06/13.32 cnf(matrix-5777, plain, ( ~class_Groups_Oordered__ab__group__add(_u12399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12400), _u12401)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12400, _u12399), _u12402), _u12401) != _u12403) | ~hBOOL(hAPP(hAPP(c_member(_u12400), _u12404), _u12401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12399), hAPP(_u12402, _u12404)), _u12403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12399), c_Groups_Ozero__class_Ozero(_u12399)), hAPP(_u12402, skolem263(_u12404, _u12403, _u12402, _u12401, _u12400, _u12399)))) )).
% 13.06/13.32 cnf(matrix-5778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12406, skolem264(_u12408, _u12407, _u12406))), hAPP(_u12407, skolem264(_u12408, _u12407, _u12406)))) | ( 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), _u12407), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12408))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12406), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12408))) = 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)), _u12407)), _u12406)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12408))) )).
% 13.06/13.32 cnf(matrix-5779, plain, ( ~class_Groups_Ocomm__monoid__add(_u12410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12411), _u12412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12411, tc_HOL_Obool)), _u12413), _u12412)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12413) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12412)) | hBOOL(hAPP(hAPP(c_member(_u12411), skolem265(_u12414, _u12413, _u12412, _u12411, _u12410)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12411, tc_HOL_Obool)), _u12412), _u12413))) )).
% 13.06/13.32 cnf(matrix-5780, plain, ( ~class_Groups_Ocomm__monoid__add(_u12410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12411), _u12412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12411, tc_HOL_Obool)), _u12413), _u12412)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12413) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12411, _u12410), _u12414), _u12412)) | ( hAPP(_u12414, skolem265(_u12414, _u12413, _u12412, _u12411, _u12410)) != c_Groups_Ozero__class_Ozero(_u12410)) )).
% 13.06/13.32 cnf(matrix-5781, plain, ( ~class_Groups_Ocomm__monoid__add(_u12416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12417), _u12418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12418) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12419)) | hBOOL(hAPP(hAPP(c_member(_u12417), skolem266(_u12420, _u12419, _u12418, _u12417, _u12416)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12417, tc_HOL_Obool)), _u12418), _u12419))) )).
% 13.06/13.32 cnf(matrix-5782, plain, ( ~class_Groups_Ocomm__monoid__add(_u12416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12417), _u12418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12418) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12417, _u12416), _u12420), _u12419)) | ( hAPP(_u12420, skolem266(_u12420, _u12419, _u12418, _u12417, _u12416)) != c_Groups_Ozero__class_Ozero(_u12416)) )).
% 13.06/13.32 cnf(matrix-5783, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u12421, _u12422, _u12423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), _u12424)) | ( _u12424 = c_Orderings_Obot__class_Obot(tc_fun(_u12421, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), _u12425)) | ( _u12425 = c_Orderings_Obot__class_Obot(tc_fun(_u12421, tc_HOL_Obool))) | ( hAPP(_u12423, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12421, tc_HOL_Obool)), _u12424), _u12425)) = hAPP(hAPP(_u12422, hAPP(_u12423, _u12424)), hAPP(_u12423, _u12425))) )).
% 13.06/13.32 cnf(matrix-5784, plain, ( ( hAPP(hAPP(_u12427, _u12429), _u12429) = _u12429) | ~c_Finite__Set_Ofolding__one__idem(_u12426, _u12427, _u12428) )).
% 13.06/13.32 cnf(matrix-5785, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u12430, _u12431, _u12432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12430), _u12433)) | ~hBOOL(hAPP(hAPP(c_member(_u12430), _u12434), _u12433)) | ( hAPP(hAPP(_u12431, _u12434), hAPP(_u12432, _u12433)) = hAPP(_u12432, _u12433)) )).
% 13.06/13.32 cnf(matrix-5786, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u12435, _u12436, _u12437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12435), _u12438)) | ( _u12438 = c_Orderings_Obot__class_Obot(tc_fun(_u12435, tc_HOL_Obool))) | ( hAPP(_u12437, hAPP(hAPP(c_Set_Oinsert(_u12435), _u12439), _u12438)) = hAPP(hAPP(_u12436, _u12439), hAPP(_u12437, _u12438))) )).
% 13.06/13.32 cnf(matrix-5787, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u12440, _u12441, _u12442) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12440), _u12443)) | ( _u12444 = c_Orderings_Obot__class_Obot(tc_fun(_u12440, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12440, tc_HOL_Obool)), _u12444), _u12443)) | ( hAPP(hAPP(_u12441, hAPP(_u12442, _u12444)), hAPP(_u12442, _u12443)) = hAPP(_u12442, _u12443)) )).
% 13.06/13.32 cnf(matrix-5788, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), skolem268(_u12450, _u12449, _u12448, _u12447))) )).
% 13.06/13.32 cnf(matrix-5789, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | hBOOL(hAPP(hAPP(c_member(_u12447), skolem267(_u12450, _u12449, _u12448, _u12447)), _u12449)) )).
% 13.06/13.32 cnf(matrix-5790, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | ~hBOOL(hAPP(hAPP(c_member(_u12447), skolem267(_u12450, _u12449, _u12448, _u12447)), skolem268(_u12450, _u12449, _u12448, _u12447))) )).
% 13.06/13.32 cnf(matrix-5791, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | hBOOL(hAPP(_u12450, skolem268(_u12450, _u12449, _u12448, _u12447))) )).
% 13.06/13.32 cnf(matrix-5792, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12447), _u12448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12447, tc_HOL_Obool)), _u12448), _u12449)) | ~hBOOL(hAPP(_u12450, c_Orderings_Obot__class_Obot(tc_fun(_u12447, tc_HOL_Obool)))) | hBOOL(hAPP(_u12450, _u12448)) | ~hBOOL(hAPP(_u12450, hAPP(hAPP(c_Set_Oinsert(_u12447), skolem267(_u12450, _u12449, _u12448, _u12447)), skolem268(_u12450, _u12449, _u12448, _u12447)))) )).
% 13.06/13.32 cnf(matrix-5793, plain, ( ~class_Groups_Ocomm__monoid__add(_u12452) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u12452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12453), _u12454)) | ( _u12454 = c_Orderings_Obot__class_Obot(tc_fun(_u12453, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12452), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12455), _u12454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12456), _u12454))) | hBOOL(hAPP(hAPP(c_member(_u12453), skolem269(_u12456, _u12455, _u12454, _u12453, _u12452)), _u12454)) )).
% 13.06/13.32 cnf(matrix-5794, plain, ( ~class_Groups_Ocomm__monoid__add(_u12452) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u12452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12453), _u12454)) | ( _u12454 = c_Orderings_Obot__class_Obot(tc_fun(_u12453, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12452), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12455), _u12454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12453, _u12452), _u12456), _u12454))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12452), hAPP(_u12455, skolem269(_u12456, _u12455, _u12454, _u12453, _u12452))), hAPP(_u12456, skolem269(_u12456, _u12455, _u12454, _u12453, _u12452)))) )).
% 13.06/13.32 cnf(matrix-5795, plain, ( ~class_Orderings_Oorder(_u12457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12457, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12457), _u12458)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12457), _u12458)) = hAPP(hAPP(c_Set_Oinsert(_u12457), _u12458), c_Orderings_Obot__class_Obot(tc_fun(_u12457, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5796, plain, ( ~class_Orderings_Olinorder(_u12459) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12460) != hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12461)) | ( _u12460 = _u12461) )).
% 13.06/13.32 cnf(matrix-5797, plain, ( ~class_Orderings_Olinorder(_u12459) | ( _u12460 != _u12461) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12460) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12459), _u12461)) )).
% 13.06/13.32 cnf(matrix-5798, plain, ( ~class_Orderings_Oord(_u12462) | ~hBOOL(hAPP(hAPP(c_member(_u12462), _u12463), hAPP(c_SetInterval_Oord__class_OatLeast(_u12462), _u12464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12462), _u12464), _u12463)) )).
% 13.06/13.32 cnf(matrix-5799, plain, ( ~class_Orderings_Oord(_u12462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12462), _u12464), _u12463)) | hBOOL(hAPP(hAPP(c_member(_u12462), _u12463), hAPP(c_SetInterval_Oord__class_OatLeast(_u12462), _u12464))) )).
% 13.06/13.32 cnf(matrix-5800, plain, ( ~class_Orderings_Oorder(_u12465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12465, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12466)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12465), _u12467), _u12466)) )).
% 13.06/13.32 cnf(matrix-5801, plain, ( ~class_Orderings_Oorder(_u12465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12465), _u12467), _u12466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12465, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12466)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12465), _u12467))) )).
% 13.06/13.32 cnf(matrix-5802, plain, ( ~class_Orderings_Olinorder(_u12468) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12468, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12468), _u12469)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12468), _u12469)) )).
% 13.06/13.32 cnf(matrix-5803, plain, ( ~class_Orderings_Olinorder(_u12470) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12470, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12470), _u12471)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12470), _u12471)) )).
% 13.06/13.32 cnf(matrix-5804, plain, ( ~class_Orderings_Olinorder(_u12472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12472), _u12473), _u12474)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12472, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12472, _u12473), _u12474)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12472), _u12474)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12472), _u12473)) )).
% 13.06/13.32 cnf(matrix-5805, plain, ( ~class_Orderings_Oorder(_u12475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12475, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12475, _u12476), _u12477)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12475), _u12477)) = c_Orderings_Obot__class_Obot(tc_fun(_u12475, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5806, plain, ( ~class_Orderings_Olinorder(_u12478) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12478, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12478), _u12479)), c_SetInterval_Oord__class_OatLeastAtMost(_u12478, _u12480, _u12481)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12478, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12478), _u12479), _u12480), _u12481)) )).
% 13.06/13.32 cnf(matrix-5807, plain, ( ~class_Orderings_Olinorder(_u12482) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12482, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12482, _u12483, _u12484)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12482), _u12485)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12482, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12482), _u12483), _u12485), _u12484)) )).
% 13.06/13.32 cnf(matrix-5808, plain, ( ~class_Orderings_Oorder(_u12486) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12486, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12486, _u12487, _u12488)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12486), _u12488)) = c_Orderings_Obot__class_Obot(tc_fun(_u12486, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5809, plain, ( ~class_Groups_Oordered__ab__group__add(_u12489) | ( hAPP(c_Set_Oimage(_u12489, _u12489, c_Groups_Ouminus__class_Ouminus(_u12489)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12489), _u12490)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12489), hAPP(c_Groups_Ouminus__class_Ouminus(_u12489), _u12490))) )).
% 13.06/13.32 cnf(matrix-5810, plain, ( ~class_Groups_Oordered__ab__group__add(_u12491) | ( hAPP(c_Set_Oimage(_u12491, _u12491, c_Groups_Ouminus__class_Ouminus(_u12491)), hAPP(c_SetInterval_Oord__class_OatMost(_u12491), _u12492)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12491), hAPP(c_Groups_Ouminus__class_Ouminus(_u12491), _u12492))) )).
% 13.06/13.32 cnf(matrix-5811, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12493)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u12493)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u12493), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5812, plain, ( ~class_Orderings_Olinorder(_u12494) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12494), _u12495), _u12496)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12494, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12494, _u12495, _u12496)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12494), _u12496)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12494), _u12495)) )).
% 13.06/13.32 cnf(matrix-5813, plain, ( ~class_Orderings_Olinorder(_u12497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12497), _u12498), _u12499)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12497, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12497, _u12498, _u12499)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12497), _u12499)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12497), _u12498)) )).
% 13.06/13.32 cnf(matrix-5814, plain, ( ~class_Orderings_Olinorder(_u12500) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12500, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12500), _u12501), c_Orderings_Obot__class_Obot(tc_fun(_u12500, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12500), _u12501)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12500), _u12501)) )).
% 13.06/13.32 cnf(matrix-5815, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12502)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12502)) )).
% 13.06/13.32 cnf(matrix-5816, plain, ( ~class_Orderings_Olinorder(_u12503) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12504) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12505)) | ( _u12504 = _u12505) )).
% 13.06/13.32 cnf(matrix-5817, plain, ( ~class_Orderings_Olinorder(_u12503) | ( _u12504 != _u12505) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12504) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12503), _u12505)) )).
% 13.06/13.32 cnf(matrix-5818, plain, ( ~class_Orderings_Oord(_u12506) | ~hBOOL(hAPP(hAPP(c_member(_u12506), _u12507), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12506), _u12508))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12506), _u12508), _u12507)) )).
% 13.06/13.32 cnf(matrix-5819, plain, ( ~class_Orderings_Oord(_u12506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12506), _u12508), _u12507)) | hBOOL(hAPP(hAPP(c_member(_u12506), _u12507), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12506), _u12508))) )).
% 13.06/13.32 cnf(matrix-5820, plain, ( ~class_Orderings_Olinorder(_u12509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12509, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12510)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12511))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12509), _u12511), _u12510)) )).
% 13.06/13.32 cnf(matrix-5821, plain, ( ~class_Orderings_Olinorder(_u12509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12509), _u12511), _u12510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12509, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12510)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12509), _u12511))) )).
% 13.06/13.32 cnf(matrix-5822, plain, ( ~class_Orderings_Olinorder(_u12512) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12512, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12512), _u12513)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12512), _u12513)) )).
% 13.06/13.32 cnf(matrix-5823, plain, ( ~class_Orderings_Olinorder(_u12514) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12514, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12514), _u12515)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12514), _u12515)) )).
% 13.06/13.32 cnf(matrix-5824, plain, ( ~class_Orderings_Oorder(_u12516) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12516, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12516, _u12517, _u12518)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12516), _u12518)) = c_Orderings_Obot__class_Obot(tc_fun(_u12516, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5825, plain, ( ~class_Orderings_Olinorder(_u12519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12519), _u12520), _u12521)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12519, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12519, _u12520, _u12521)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12519), _u12521)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12519), _u12520)) )).
% 13.06/13.32 cnf(matrix-5826, plain, ( ~class_Groups_Oordered__ab__group__add(_u12522) | ( hAPP(c_Set_Oimage(_u12522, _u12522, c_Groups_Ouminus__class_Ouminus(_u12522)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12522), _u12523)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12522), hAPP(c_Groups_Ouminus__class_Ouminus(_u12522), _u12523))) )).
% 13.06/13.32 cnf(matrix-5827, plain, ( ~class_Groups_Oordered__ab__group__add(_u12524) | ( hAPP(c_Set_Oimage(_u12524, _u12524, c_Groups_Ouminus__class_Ouminus(_u12524)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12524), _u12525)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12524), hAPP(c_Groups_Ouminus__class_Ouminus(_u12524), _u12525))) )).
% 13.06/13.32 cnf(matrix-5828, plain, ( ~class_Orderings_Oorder(_u12526) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12526, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12526, _u12527, _u12528)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12526), _u12528)) = c_Orderings_Obot__class_Obot(tc_fun(_u12526, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5829, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12529)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12529)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12529)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5830, plain, ( ~class_Groups_Ocomm__monoid__add(_u12531) | ~class_Groups_Ocomm__monoid__mult(_u12531) | ( _u12532 != _u12533) | ~c_Nat__Transfer_Onat__set(_u12533) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12534), _u12532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12535), _u12533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem270(_u12535, _u12534, _u12533, _u12532, _u12531))) )).
% 13.06/13.32 cnf(matrix-5831, plain, ( ~class_Groups_Ocomm__monoid__add(_u12531) | ~class_Groups_Ocomm__monoid__mult(_u12531) | ( _u12532 != _u12533) | ~c_Nat__Transfer_Onat__set(_u12533) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12534), _u12532) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12531), _u12535), _u12533)) | ( hAPP(_u12534, skolem270(_u12535, _u12534, _u12533, _u12532, _u12531)) != hAPP(_u12535, skolem270(_u12535, _u12534, _u12533, _u12532, _u12531))) )).
% 13.06/13.32 cnf(matrix-5832, plain, ( ( c_Map_Odom(_u12542, _u12544, _u12546) != hAPP(hAPP(c_Set_Oinsert(_u12542), _u12548), c_Orderings_Obot__class_Obot(tc_fun(_u12542, tc_HOL_Obool)))) | ( _u12546 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12542, tc_Option_Ooption(_u12544)), hAPP(c_COMBK(tc_Option_Ooption(_u12544), _u12542), c_Option_Ooption_ONone(_u12544))), _u12548), hAPP(c_Option_Ooption_OSome(_u12544), skolem271(_u12548, _u12546, _u12544, _u12542)))) )).
% 13.06/13.32 cnf(matrix-5833, plain, ( ( _u12547 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12543, tc_Option_Ooption(_u12545)), hAPP(c_COMBK(tc_Option_Ooption(_u12545), _u12543), c_Option_Ooption_ONone(_u12545))), _u12549), hAPP(c_Option_Ooption_OSome(_u12545), _u12537))) | ( c_Map_Odom(_u12543, _u12545, _u12547) = hAPP(hAPP(c_Set_Oinsert(_u12543), _u12549), c_Orderings_Obot__class_Obot(tc_fun(_u12543, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5834, plain, ( ~class_Groups_Oab__semigroup__mult(_u12550) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12550, _u12550, c_Groups_Otimes__class_Otimes(_u12550), _u12551, _u12552), _u12553)) | ~hBOOL(hAPP(hAPP(c_member(_u12550), _u12554), _u12552)) | hBOOL(hAPP(hAPP(c_member(_u12550), _u12551), _u12552)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12550, _u12550, c_Groups_Otimes__class_Otimes(_u12550), _u12554, hAPP(hAPP(c_Set_Oinsert(_u12550), _u12551), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12550, tc_HOL_Obool)), _u12552), hAPP(hAPP(c_Set_Oinsert(_u12550), _u12554), c_Orderings_Obot__class_Obot(tc_fun(_u12550, tc_HOL_Obool)))))), _u12553)) )).
% 13.06/13.32 cnf(matrix-5835, plain, ( ( _u12559 = _u12558) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12555, _u12556, _u12557, _u12558, c_Orderings_Obot__class_Obot(tc_fun(_u12555, tc_HOL_Obool))), _u12559)) )).
% 13.06/13.32 cnf(matrix-5836, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12560, _u12561, _u12562, _u12563, c_Orderings_Obot__class_Obot(tc_fun(_u12560, tc_HOL_Obool))), _u12563)) )).
% 13.06/13.32 cnf(matrix-5837, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12564, _u12565, _u12566, _u12567, c_Orderings_Obot__class_Obot(tc_fun(_u12564, tc_HOL_Obool))), _u12567)) )).
% 13.06/13.32 cnf(matrix-5838, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody))) )).
% 13.06/13.32 cnf(matrix-5839, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12568, _u12569, _u12570, _u12571, _u12572), _u12573)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), _u12572)) )).
% 13.06/13.32 cnf(matrix-5840, plain, ( ( hAPP(_u12584, _u12580) != c_Option_Ooption_ONone(_u12582)) | ~hBOOL(hAPP(hAPP(c_member(_u12578), _u12580), c_Map_Odom(_u12578, _u12582, _u12584))) )).
% 13.06/13.32 cnf(matrix-5841, plain, ( ( hAPP(_u12585, _u12581) = c_Option_Ooption_ONone(_u12583)) | hBOOL(hAPP(hAPP(c_member(_u12579), _u12581), c_Map_Odom(_u12579, _u12583, _u12585))) )).
% 13.06/13.32 cnf(matrix-5842, plain, ( ( hAPP(_u12586, _u12587) != hAPP(c_Option_Ooption_OSome(_u12588), _u12589)) | hBOOL(hAPP(hAPP(c_member(_u12590), _u12587), c_Map_Odom(_u12590, _u12588, _u12586))) )).
% 13.06/13.32 cnf(matrix-5843, plain, ( ( hAPP(_u12591, _u12592) != hAPP(c_Option_Ooption_OSome(_u12593), _u12594)) | ( hAPP(hAPP(c_Set_Oinsert(_u12595), _u12592), c_Map_Odom(_u12595, _u12593, _u12591)) = c_Map_Odom(_u12595, _u12593, _u12591)) )).
% 13.06/13.32 cnf(matrix-5844, plain, ( ( c_Map_Odom(_u12596, _u12597, c_Map_Orestrict__map(_u12596, _u12597, _u12598, _u12599)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12596, tc_HOL_Obool)), c_Map_Odom(_u12596, _u12597, _u12598)), _u12599)) )).
% 13.06/13.32 cnf(matrix-5845, plain, ( hBOOL(hAPP(hAPP(c_member(_u12600), _u12601), _u12602)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12600, _u12603, _u12604, _u12605, _u12602), _u12606)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12600, _u12603, _u12604, _u12605, hAPP(hAPP(c_Set_Oinsert(_u12600), _u12601), _u12602)), hAPP(hAPP(_u12604, _u12601), _u12606))) )).
% 13.06/13.32 cnf(matrix-5846, plain, ( ( c_Map_Odom(_u12607, _u12608, hAPP(c_COMBK(tc_Option_Ooption(_u12608), _u12607), c_Option_Ooption_ONone(_u12608))) = c_Orderings_Obot__class_Obot(tc_fun(_u12607, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5847, plain, ( ( c_Map_Odom(_u12612, _u12614, _u12616) != c_Orderings_Obot__class_Obot(tc_fun(_u12612, tc_HOL_Obool))) | ( _u12616 = hAPP(c_COMBK(tc_Option_Ooption(_u12614), _u12612), c_Option_Ooption_ONone(_u12614))) )).
% 13.06/13.32 cnf(matrix-5848, plain, ( ( _u12617 != hAPP(c_COMBK(tc_Option_Ooption(_u12615), _u12613), c_Option_Ooption_ONone(_u12615))) | ( c_Map_Odom(_u12613, _u12615, _u12617) = c_Orderings_Obot__class_Obot(tc_fun(_u12613, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5849, plain, ( ( hAPP(_u12618, _u12619) != c_Option_Ooption_ONone(_u12620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12621, tc_HOL_Obool)), c_Map_Odom(_u12621, _u12620, _u12618)), hAPP(hAPP(c_Set_Oinsert(_u12621), _u12619), _u12622)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12621, tc_HOL_Obool)), c_Map_Odom(_u12621, _u12620, _u12618)), _u12622)) )).
% 13.06/13.32 cnf(matrix-5850, plain, ( ~class_Groups_Oab__semigroup__mult(_u12623) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12623, _u12623, c_Groups_Otimes__class_Otimes(_u12623), _u12624, _u12625), _u12626)) | hBOOL(hAPP(hAPP(c_member(_u12623), _u12624), _u12625)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12623, _u12623, c_Groups_Otimes__class_Otimes(_u12623), _u12627, hAPP(hAPP(c_Set_Oinsert(_u12623), _u12624), _u12625)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12623), _u12627), _u12626))) )).
% 13.06/13.32 cnf(matrix-5851, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12628, _u12629, _u12630, _u12631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12628, tc_HOL_Obool)), _u12632), hAPP(hAPP(c_Set_Oinsert(_u12628), _u12633), c_Orderings_Obot__class_Obot(tc_fun(_u12628, tc_HOL_Obool))))), _u12634)) | ~hBOOL(hAPP(hAPP(c_member(_u12628), _u12633), _u12632)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12628, _u12629, _u12630, _u12631, _u12632), hAPP(hAPP(_u12630, _u12633), _u12634))) )).
% 13.06/13.32 cnf(matrix-5852, plain, ( ( _u12640 != c_Option_Ooption_ONone(_u12642)) | ( c_Map_Odom(_u12644, _u12642, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12644, tc_Option_Ooption(_u12642)), _u12646), _u12648), _u12640)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12644, tc_HOL_Obool)), c_Map_Odom(_u12644, _u12642, _u12646)), hAPP(hAPP(c_Set_Oinsert(_u12644), _u12648), c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5853, plain, ( ( _u12641 = c_Option_Ooption_ONone(_u12643)) | ( c_Map_Odom(_u12645, _u12643, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12645, tc_Option_Ooption(_u12643)), _u12647), _u12649), _u12641)) = hAPP(hAPP(c_Set_Oinsert(_u12645), _u12649), c_Map_Odom(_u12645, _u12643, _u12647))) )).
% 13.06/13.32 cnf(matrix-5854, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u12650, _u12650, _u12651, _u12652, _u12653), _u12654)) | hBOOL(hAPP(hAPP(c_member(_u12650), _u12652), _u12653)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12650, _u12651, hAPP(hAPP(c_Set_Oinsert(_u12650), _u12652), _u12653)), _u12654)) )).
% 13.06/13.32 cnf(matrix-5855, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12656), _u12657), c_Map_Oran(_u12658, _u12656, c_Map_Orestrict__map(_u12658, _u12656, _u12659, _u12660)))) | hBOOL(hAPP(hAPP(c_member(_u12658), skolem272(_u12660, _u12659, _u12658, _u12657, _u12656)), _u12660)) )).
% 13.06/13.32 cnf(matrix-5856, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12656), _u12657), c_Map_Oran(_u12658, _u12656, c_Map_Orestrict__map(_u12658, _u12656, _u12659, _u12660)))) | ( hAPP(_u12659, skolem272(_u12660, _u12659, _u12658, _u12657, _u12656)) = hAPP(c_Option_Ooption_OSome(_u12656), _u12657)) )).
% 13.06/13.32 cnf(matrix-5857, plain, ( ~class_Lattices_Oboolean__algebra(_u12661) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12661), _u12662), _u12663) != c_Orderings_Obot__class_Obot(_u12661)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12661), _u12662), _u12663) != c_Orderings_Otop__class_Otop(_u12661)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12661), _u12662) = _u12663) )).
% 13.06/13.32 cnf(matrix-5858, plain, ( hBOOL(hAPP(hAPP(c_member(_u12664), _u12665), c_Orderings_Otop__class_Otop(tc_fun(_u12664, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5859, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u12666), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u12666)), c_Option_Ooption_ONone(_u12666)), hAPP(c_Set_Oimage(_u12666, tc_Option_Ooption(_u12666), c_Option_Ooption_OSome(_u12666)), c_Orderings_Otop__class_Otop(tc_fun(_u12666, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5860, plain, ( ( hAPP(c_Set_Oimage(_u12667, _u12668, hAPP(hAPP(c_COMBB(_u12669, _u12668, _u12667), _u12670), _u12671)), c_Orderings_Otop__class_Otop(tc_fun(_u12667, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u12669, _u12668, _u12670), hAPP(c_Set_Oimage(_u12667, _u12669, _u12671), c_Orderings_Otop__class_Otop(tc_fun(_u12667, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5861, 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))) )).
% 13.06/13.32 cnf(matrix-5862, 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))) )).
% 13.06/13.32 cnf(matrix-5863, plain, ( ( hAPP(_u12674, _u12675) != hAPP(_u12674, _u12676)) | ( _u12675 = _u12676) | ~c_Fun_Oinj__on(_u12672, _u12673, _u12674, c_Orderings_Otop__class_Otop(tc_fun(_u12672, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5864, plain, ( ~c_Fun_Oinj__on(_u12677, _u12678, _u12679, c_Orderings_Otop__class_Otop(tc_fun(_u12677, tc_HOL_Obool))) | ( hAPP(_u12679, _u12680) != hAPP(_u12679, _u12681)) | ( _u12680 = _u12681) )).
% 13.06/13.32 cnf(matrix-5865, plain, ( ~c_Fun_Oinj__on(_u12677, _u12678, _u12679, c_Orderings_Otop__class_Otop(tc_fun(_u12677, tc_HOL_Obool))) | ( _u12680 != _u12681) | ( hAPP(_u12679, _u12680) = hAPP(_u12679, _u12681)) )).
% 13.06/13.32 cnf(matrix-5866, plain, ( ~class_Lattices_Obounded__lattice__top(_u12682) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12682), _u12683), _u12684) != c_Orderings_Otop__class_Otop(_u12682)) | ( _u12683 = c_Orderings_Otop__class_Otop(_u12682)) )).
% 13.06/13.32 cnf(matrix-5867, plain, ( ~class_Lattices_Obounded__lattice__top(_u12682) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12682), _u12683), _u12684) != c_Orderings_Otop__class_Otop(_u12682)) | ( _u12684 = c_Orderings_Otop__class_Otop(_u12682)) )).
% 13.06/13.32 cnf(matrix-5868, plain, ( ~class_Lattices_Obounded__lattice__top(_u12682) | ( _u12683 != c_Orderings_Otop__class_Otop(_u12682)) | ( _u12684 != c_Orderings_Otop__class_Otop(_u12682)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12682), _u12683), _u12684) = c_Orderings_Otop__class_Otop(_u12682)) )).
% 13.06/13.32 cnf(matrix-5869, plain, ( ~class_Lattices_Obounded__lattice__top(_u12685) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12685), _u12686), c_Orderings_Otop__class_Otop(_u12685)) = _u12686) )).
% 13.06/13.32 cnf(matrix-5870, plain, ( ~class_Lattices_Obounded__lattice__top(_u12687) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12687), c_Orderings_Otop__class_Otop(_u12687)), _u12688) = _u12688) )).
% 13.06/13.32 cnf(matrix-5871, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12689), c_Orderings_Otop__class_Otop(tc_fun(_u12689, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12690), c_Orderings_Otop__class_Otop(tc_fun(_u12690, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12689, _u12690)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12689, _u12690), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5872, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12692), c_Orderings_Otop__class_Otop(tc_fun(_u12692, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12691, _u12692)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12691, _u12692), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5873, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u12695, _u12697)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12695, _u12697), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12695), c_Orderings_Otop__class_Otop(tc_fun(_u12695, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5874, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u12695, _u12697)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12695, _u12697), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12697), c_Orderings_Otop__class_Otop(tc_fun(_u12697, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5875, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12696), c_Orderings_Otop__class_Otop(tc_fun(_u12696, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12698), c_Orderings_Otop__class_Otop(tc_fun(_u12698, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u12696, _u12698)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12696, _u12698), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5876, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12700)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u12700), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12700), c_Orderings_Otop__class_Otop(tc_fun(_u12700, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5877, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12701), c_Orderings_Otop__class_Otop(tc_fun(_u12701, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12701)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u12701), tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5878, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5879, plain, ( ~class_Finite__Set_Ofinite(_u12702) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12702), c_Orderings_Otop__class_Otop(tc_fun(_u12702, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5880, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5881, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12703, tc_HOL_Obool)), _u12704), c_Orderings_Otop__class_Otop(tc_fun(_u12703, tc_HOL_Obool))) = _u12704) )).
% 13.06/13.32 cnf(matrix-5882, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12705, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12705, tc_HOL_Obool))), _u12706) = _u12706) )).
% 13.06/13.32 cnf(matrix-5883, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12707, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12707, tc_HOL_Obool))), _u12708) = c_Orderings_Otop__class_Otop(tc_fun(_u12707, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5884, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12709, tc_HOL_Obool)), _u12710), c_Orderings_Otop__class_Otop(tc_fun(_u12709, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12709, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5885, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12711, tc_HOL_Obool)), _u12712), c_Orderings_Otop__class_Otop(tc_fun(_u12711, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5886, plain, ( ~class_Orderings_Otop(_u12713) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12713), _u12714), c_Orderings_Otop__class_Otop(_u12713))) )).
% 13.06/13.32 cnf(matrix-5887, plain, ( ~class_Lattices_Obounded__lattice__top(_u12715) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12715), _u12716), c_Orderings_Otop__class_Otop(_u12715)) = c_Orderings_Otop__class_Otop(_u12715)) )).
% 13.06/13.32 cnf(matrix-5888, plain, ( ~class_Lattices_Obounded__lattice__top(_u12717) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12717), c_Orderings_Otop__class_Otop(_u12717)), _u12718) = c_Orderings_Otop__class_Otop(_u12717)) )).
% 13.06/13.32 cnf(matrix-5889, 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) )).
% 13.06/13.32 cnf(matrix-5890, plain, ( ~class_Orderings_Otop(_u12719) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u12720, _u12719)), _u12721) = c_Orderings_Otop__class_Otop(_u12719)) )).
% 13.06/13.32 cnf(matrix-5891, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12722, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u12722, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5892, plain, ( ( c_Sum__Type_OPlus(_u12723, _u12724, c_Orderings_Otop__class_Otop(tc_fun(_u12723, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12724, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u12723, _u12724), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5893, plain, ( ( hAPP(c_Set_OPow(_u12725), c_Orderings_Otop__class_Otop(tc_fun(_u12725, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12725, tc_HOL_Obool), tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5894, 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)) )).
% 13.06/13.32 cnf(matrix-5895, 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))) )).
% 13.06/13.32 cnf(matrix-5896, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12726, _u12727, _u12728), _u12729)) | ( _u12728 != c_Orderings_Obot__class_Obot(tc_fun(_u12726, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5897, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12730, _u12731, c_Orderings_Obot__class_Obot(tc_fun(_u12730, tc_HOL_Obool))), _u12732)) )).
% 13.06/13.32 cnf(matrix-5898, plain, ( ( _u12733 != hAPP(_u12734, _u12735)) | hBOOL(hAPP(hAPP(c_member(_u12736), _u12733), hAPP(c_Set_Oimage(_u12737, _u12736, _u12734), c_Orderings_Otop__class_Otop(tc_fun(_u12737, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5899, plain, ( hBOOL(hAPP(hAPP(c_member(_u12738), hAPP(_u12739, _u12740)), hAPP(c_Set_Oimage(_u12741, _u12738, _u12739), c_Orderings_Otop__class_Otop(tc_fun(_u12741, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5900, 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))) )).
% 13.06/13.32 cnf(matrix-5901, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12742, tc_HOL_Obool)), _u12743), c_Orderings_Otop__class_Otop(tc_fun(_u12742, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12742, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5902, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12744), c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u12744), _u12745) != hAPP(c_Finite__Set_Ocard(_u12744), c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool)))) | ( _u12745 = c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5903, plain, ( ~c_Fun_Oinj__on(_u12746, _u12747, _u12748, c_Orderings_Otop__class_Otop(tc_fun(_u12746, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12749) != hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12750)) | ( _u12749 = _u12750) )).
% 13.06/13.32 cnf(matrix-5904, plain, ( ~c_Fun_Oinj__on(_u12746, _u12747, _u12748, c_Orderings_Otop__class_Otop(tc_fun(_u12746, tc_HOL_Obool))) | ( _u12749 != _u12750) | ( hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12749) = hAPP(c_Set_Oimage(_u12746, _u12747, _u12748), _u12750)) )).
% 13.06/13.32 cnf(matrix-5905, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12751, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12751, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12751, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5906, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12752, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12752, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12752, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5907, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), _u12754)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12753, tc_HOL_Obool)), _u12754))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5908, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), _u12754)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12753), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12753, tc_HOL_Obool)), _u12754))) )).
% 13.06/13.32 cnf(matrix-5909, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12755, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12755, tc_HOL_Obool)), _u12756)), _u12756) = c_Orderings_Otop__class_Otop(tc_fun(_u12755, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5910, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12757, tc_HOL_Obool)), _u12758), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12757, tc_HOL_Obool)), _u12758)) = c_Orderings_Otop__class_Otop(tc_fun(_u12757, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5911, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12759, tc_HOL_Obool)), _u12760) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12759, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12759, tc_HOL_Obool))), _u12760)) )).
% 13.06/13.32 cnf(matrix-5912, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12761), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12762), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u12761) != hAPP(c_Code__Numeral_Oof__nat, _u12762)) | ( _u12761 = _u12762) )).
% 13.06/13.32 cnf(matrix-5913, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12761), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12762), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u12761 != _u12762) | ( hAPP(c_Code__Numeral_Oof__nat, _u12761) = hAPP(c_Code__Numeral_Oof__nat, _u12762)) )).
% 13.06/13.32 cnf(matrix-5914, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12767, tc_fun(_u12769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12767, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12769, tc_HOL_Obool), tc_fun(_u12769, tc_HOL_Obool), _u12767), hAPP(c_COMBC(_u12769, tc_fun(_u12769, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12769))), _u12771)), _u12773)) | hBOOL(hAPP(hAPP(c_member(_u12769), _u12773), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12767, tc_fun(_u12769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12767, tc_HOL_Obool))), _u12771))) )).
% 13.06/13.32 cnf(matrix-5915, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12770), _u12774), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12768, tc_fun(_u12770, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12768, tc_HOL_Obool))), _u12772))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12768, tc_fun(_u12770, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12768, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12770, tc_HOL_Obool), tc_fun(_u12770, tc_HOL_Obool), _u12768), hAPP(c_COMBC(_u12770, tc_fun(_u12770, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12770))), _u12772)), _u12774)) )).
% 13.06/13.32 cnf(matrix-5916, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12775), hAPP(c_Set_Oimage(_u12776, _u12775, _u12777), c_Orderings_Otop__class_Otop(tc_fun(_u12776, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12778), hAPP(c_Set_Oimage(_u12776, _u12778, hAPP(hAPP(c_COMBB(_u12775, _u12778, _u12776), _u12779), _u12777)), c_Orderings_Otop__class_Otop(tc_fun(_u12776, tc_HOL_Obool))))) )).
% 13.06/13.32 cnf(matrix-5917, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u12780)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5918, plain, ( ~c_Fun_Oinj__on(_u12781, _u12782, _u12783, c_Orderings_Otop__class_Otop(tc_fun(_u12781, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u12781, _u12782, c_Orderings_Otop__class_Otop(tc_fun(_u12781, tc_HOL_Obool)), _u12783), hAPP(_u12783, _u12784)) = _u12784) )).
% 13.06/13.32 cnf(matrix-5919, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12785, _u12786)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12785, _u12786), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u12786), c_Orderings_Otop__class_Otop(tc_fun(_u12786, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12785), c_Orderings_Otop__class_Otop(tc_fun(_u12785, tc_HOL_Obool)))) )).
% 13.06/13.32 cnf(matrix-5920, plain, ( ~class_Nat_Osemiring__char__0(_u12787) | c_Fun_Oinj__on(tc_Nat_Onat, _u12787, c_Nat_Osemiring__1__class_Oof__nat(_u12787), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5921, plain, ( ( c_Map_Odom(_u12788, _u12789, hAPP(hAPP(c_COMBB(_u12789, tc_Option_Ooption(_u12789), _u12788), c_Option_Ooption_OSome(_u12789)), _u12790)) = c_Orderings_Otop__class_Otop(tc_fun(_u12788, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5922, 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))) )).
% 13.06/13.32 cnf(matrix-5923, plain, ( ~c_Fun_Oinj__on(_u12791, _u12792, _u12793, c_Orderings_Otop__class_Otop(tc_fun(_u12791, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12791, tc_fun(_u12794, _u12792), hAPP(hAPP(c_COMBB(_u12792, tc_fun(_u12794, _u12792), _u12791), c_COMBK(_u12792, _u12794)), _u12793), c_Orderings_Otop__class_Otop(tc_fun(_u12791, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5924, plain, ( ~class_Lattices_Oboolean__algebra(_u12795) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12795), c_Orderings_Obot__class_Obot(_u12795)) = c_Orderings_Otop__class_Otop(_u12795)) )).
% 13.06/13.32 cnf(matrix-5925, plain, ( ~class_Lattices_Oboolean__algebra(_u12796) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u12796), c_Orderings_Otop__class_Otop(_u12796)) = c_Orderings_Obot__class_Obot(_u12796)) )).
% 13.06/13.32 cnf(matrix-5926, plain, ( ~class_Lattices_Oboolean__algebra(_u12797) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12797), hAPP(c_Groups_Ouminus__class_Ouminus(_u12797), _u12798)), _u12798) = c_Orderings_Otop__class_Otop(_u12797)) )).
% 13.06/13.32 cnf(matrix-5927, plain, ( ~class_Lattices_Oboolean__algebra(_u12799) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12799), _u12800), hAPP(c_Groups_Ouminus__class_Ouminus(_u12799), _u12800)) = c_Orderings_Otop__class_Otop(_u12799)) )).
% 13.06/13.32 cnf(matrix-5928, plain, ( ~c_Fun_Oinj__on(_u12801, _u12802, _u12803, c_Orderings_Otop__class_Otop(tc_fun(_u12801, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12802), hAPP(_u12803, _u12804)), hAPP(c_Set_Oimage(_u12801, _u12802, _u12803), _u12805))) | hBOOL(hAPP(hAPP(c_member(_u12801), _u12804), _u12805)) )).
% 13.06/13.32 cnf(matrix-5929, plain, ( ~c_Fun_Oinj__on(_u12801, _u12802, _u12803, c_Orderings_Otop__class_Otop(tc_fun(_u12801, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12801), _u12804), _u12805)) | hBOOL(hAPP(hAPP(c_member(_u12802), hAPP(_u12803, _u12804)), hAPP(c_Set_Oimage(_u12801, _u12802, _u12803), _u12805))) )).
% 13.06/13.32 cnf(matrix-5930, plain, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 = hAPP(_u12812, skolem273(_u12813, _u12812, _u12811, _u12810))) )).
% 13.06/13.32 cnf(matrix-5931, plain, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 != hAPP(_u12812, _u12806)) | ( _u12806 = skolem273(_u12813, _u12812, _u12811, _u12810)) )).
% 13.06/13.32 cnf(matrix-5932, plain, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 != hAPP(_u12812, _u12809)) | ( _u12813 = hAPP(_u12812, skolem274(_u12813, _u12812, _u12811, _u12810, _u12809))) )).
% 13.06/13.32 cnf(matrix-5933, plain, ( ~c_Fun_Oinj__on(_u12810, _u12811, _u12812, c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) | ( _u12813 != hAPP(_u12812, _u12809)) | ( skolem274(_u12813, _u12812, _u12811, _u12810, _u12809) != _u12809) )).
% 13.06/13.32 cnf(matrix-5934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12814), c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u12814, _u12814, _u12815), c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12814, _u12814, _u12815, c_Orderings_Otop__class_Otop(tc_fun(_u12814, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5935, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12816), c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u12816, _u12816, _u12817, c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12816, _u12816, _u12817), c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) )).
% 13.06/13.32 cnf(matrix-5936, plain, ( ~c_Fun_Oinj__on(_u12818, _u12819, _u12820, c_Orderings_Otop__class_Otop(tc_fun(_u12818, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12819, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12821)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12818, tc_HOL_Obool)), _u12821), _u12822)) )).
% 13.06/13.32 cnf(matrix-5937, plain, ( ~c_Fun_Oinj__on(_u12818, _u12819, _u12820, c_Orderings_Otop__class_Otop(tc_fun(_u12818, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12818, tc_HOL_Obool)), _u12821), _u12822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12819, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12821)), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12822))) )).
% 13.06/13.33 cnf(matrix-5938, plain, ( ~c_Fun_Oinj__on(_u12823, _u12824, _u12825, c_Orderings_Otop__class_Otop(tc_fun(_u12823, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12823, _u12824, _u12825), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12823, tc_HOL_Obool)), _u12826), _u12827)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12824, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12823, _u12824, _u12825), _u12826)), hAPP(c_Set_Oimage(_u12823, _u12824, _u12825), _u12827))) )).
% 13.06/13.33 cnf(matrix-5939, plain, ( ~c_Fun_Oinj__on(_u12828, _u12829, _u12830, c_Orderings_Otop__class_Otop(tc_fun(_u12828, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12828, _u12829, _u12830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12828, tc_HOL_Obool)), _u12831), _u12832)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12829, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12828, _u12829, _u12830), _u12831)), hAPP(c_Set_Oimage(_u12828, _u12829, _u12830), _u12832))) )).
% 13.06/13.33 cnf(matrix-5940, plain, ( ( hAPP(c_Set_Oimage(_u12833, _u12834, _u12835), c_Orderings_Otop__class_Otop(tc_fun(_u12833, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12834, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12834, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12834, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12833, _u12834, _u12835), _u12836))), hAPP(c_Set_Oimage(_u12833, _u12834, _u12835), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12833, tc_HOL_Obool)), _u12836)))) )).
% 13.06/13.33 cnf(matrix-5941, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12837), 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, _u12837)) = _u12837) )).
% 13.06/13.33 cnf(matrix-5942, plain, ( ( _u12846 = _u12848) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12842, _u12844, hAPP(hAPP(c_Set_Oinsert(_u12842), _u12846), c_Orderings_Obot__class_Obot(tc_fun(_u12842, tc_HOL_Obool)))), _u12848)) )).
% 13.06/13.33 cnf(matrix-5943, plain, ( ( _u12847 != _u12849) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u12843, _u12845, hAPP(hAPP(c_Set_Oinsert(_u12843), _u12847), c_Orderings_Obot__class_Obot(tc_fun(_u12843, tc_HOL_Obool)))), _u12849)) )).
% 13.06/13.33 cnf(matrix-5944, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12850)), hAPP(c_Set_Oimage(_u12851, tc_Option_Ooption(_u12850), _u12852), c_Orderings_Otop__class_Otop(tc_fun(_u12851, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u12850)), hAPP(c_Set_Oimage(_u12851, tc_Option_Ooption(_u12850), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u12851, tc_Option_Ooption(_u12850)), _u12852), _u12853), hAPP(c_Option_Ooption_OSome(_u12850), _u12854))), c_Orderings_Otop__class_Otop(tc_fun(_u12851, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-5945, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12855, 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(_u12855, tc_HOL_Obool)), tc_fun(_u12855, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u12855, tc_HOL_Obool)), tc_fun(_u12855, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12855, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u12856)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12855, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12856)) )).
% 13.06/13.33 cnf(matrix-5946, plain, ( c_Fun_Oinj__on(_u12857, tc_fun(_u12857, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12857, tc_fun(_u12857, tc_HOL_Obool), tc_fun(_u12857, tc_HOL_Obool)), c_Set_Oinsert(_u12857)), c_Orderings_Obot__class_Obot(tc_fun(_u12857, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12857, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-5947, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12858), c_Orderings_Otop__class_Otop(tc_fun(_u12858, 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(_u12858), c_Orderings_Otop__class_Otop(tc_fun(_u12858, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-5948, 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)))) )).
% 13.06/13.33 cnf(matrix-5949, plain, ( ~c_Fun_Oinj__on(_u12859, _u12860, _u12861, c_Orderings_Otop__class_Otop(tc_fun(_u12859, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12860, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12859, _u12860, _u12861), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12859, tc_HOL_Obool)), _u12862))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12860, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12859, _u12860, _u12861), _u12862)))) )).
% 13.06/13.33 cnf(matrix-5950, 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)))) )).
% 13.06/13.33 cnf(matrix-5951, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12869, tc_fun(_u12871, tc_fun(_u12873, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12869, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_fun(_u12871, tc_fun(_u12873, tc_HOL_Obool)), _u12869), hAPP(c_COMBC(_u12871, tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_fun(_u12873, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12873, tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_fun(_u12873, tc_HOL_Obool)), _u12871), c_COMBC(_u12873, tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12873, tc_prod(_u12871, _u12873)), tc_fun(_u12873, tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool)), _u12871), hAPP(c_COMBB(tc_prod(_u12871, _u12873), tc_fun(tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool), tc_HOL_Obool), _u12873), c_member(tc_prod(_u12871, _u12873)))), c_Product__Type_OPair(_u12871, _u12873))))), _u12875)), _u12877), _u12879)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12871, _u12873)), hAPP(hAPP(c_Product__Type_OPair(_u12871, _u12873), _u12877), _u12879)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12869, tc_fun(tc_prod(_u12871, _u12873), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12869, tc_HOL_Obool))), _u12875))) )).
% 13.06/13.33 cnf(matrix-5952, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12872, _u12874)), hAPP(hAPP(c_Product__Type_OPair(_u12872, _u12874), _u12878), _u12880)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12870, tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u12870, tc_HOL_Obool))), _u12876))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12870, tc_fun(_u12872, tc_fun(_u12874, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12870, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_fun(_u12872, tc_fun(_u12874, tc_HOL_Obool)), _u12870), hAPP(c_COMBC(_u12872, tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_fun(_u12874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12874, tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_fun(_u12874, tc_HOL_Obool)), _u12872), c_COMBC(_u12874, tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12874, tc_prod(_u12872, _u12874)), tc_fun(_u12874, tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool)), _u12872), hAPP(c_COMBB(tc_prod(_u12872, _u12874), tc_fun(tc_fun(tc_prod(_u12872, _u12874), tc_HOL_Obool), tc_HOL_Obool), _u12874), c_member(tc_prod(_u12872, _u12874)))), c_Product__Type_OPair(_u12872, _u12874))))), _u12876)), _u12878), _u12880)) )).
% 13.06/13.33 cnf(matrix-5953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem275(_u12885, _u12884, _u12883, _u12882))), _u12883)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, 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), skolem275(_u12885, _u12884, _u12883, _u12882)), _u12884))), _u12885))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12882, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12883)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12882, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12885))) )).
% 13.06/13.33 cnf(matrix-5954, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem276(_u12890, _u12889, _u12888, _u12887))), _u12888) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, 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), skolem276(_u12890, _u12889, _u12888, _u12887)), _u12889))), _u12890)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12888) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12890)) )).
% 13.06/13.33 cnf(matrix-5955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12892, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12892, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem277(_u12894, _u12893, _u12892))), _u12893)), _u12894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12892, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12892, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u12893)), _u12894)) )).
% 13.06/13.33 cnf(matrix-5956, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u12895, tc_HOL_Obool)), _u12896)) )).
% 13.06/13.33 cnf(matrix-5957, 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)) )).
% 13.06/13.33 cnf(matrix-5958, plain, ( hBOOL(hAPP(hAPP(c_member(_u12897), _u12898), c_Orderings_Otop__class_Otop(tc_fun(_u12897, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-5959, plain, ( ~c_Equiv__Relations_Oequiv(_u12901, c_Orderings_Otop__class_Otop(tc_fun(_u12901, tc_HOL_Obool)), _u12903) | c_Equiv__Relations_Oequivp(_u12901, hAPP(hAPP(c_COMBC(_u12901, tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_fun(_u12901, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12901, tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_fun(_u12901, tc_HOL_Obool)), _u12901), c_COMBC(_u12901, tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12901, tc_prod(_u12901, _u12901)), tc_fun(_u12901, tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool)), _u12901), hAPP(c_COMBB(tc_prod(_u12901, _u12901), tc_fun(tc_fun(tc_prod(_u12901, _u12901), tc_HOL_Obool), tc_HOL_Obool), _u12901), c_member(tc_prod(_u12901, _u12901)))), c_Product__Type_OPair(_u12901, _u12901)))), _u12903)) )).
% 13.06/13.33 cnf(matrix-5960, plain, ( ~c_Equiv__Relations_Oequivp(_u12902, hAPP(hAPP(c_COMBC(_u12902, tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_fun(_u12902, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12902, tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_fun(_u12902, tc_HOL_Obool)), _u12902), c_COMBC(_u12902, tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12902, tc_prod(_u12902, _u12902)), tc_fun(_u12902, tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool)), _u12902), hAPP(c_COMBB(tc_prod(_u12902, _u12902), tc_fun(tc_fun(tc_prod(_u12902, _u12902), tc_HOL_Obool), tc_HOL_Obool), _u12902), c_member(tc_prod(_u12902, _u12902)))), c_Product__Type_OPair(_u12902, _u12902)))), _u12904)) | c_Equiv__Relations_Oequiv(_u12902, c_Orderings_Otop__class_Otop(tc_fun(_u12902, tc_HOL_Obool)), _u12904) )).
% 13.06/13.33 cnf(matrix-5961, plain, ( ~hBOOL(hAPP(hAPP(_u12906, _u12907), _u12908)) | ~hBOOL(hAPP(hAPP(_u12906, _u12908), _u12909)) | hBOOL(hAPP(hAPP(_u12906, _u12907), _u12909)) | ~c_Equiv__Relations_Oequivp(_u12905, _u12906) )).
% 13.06/13.33 cnf(matrix-5962, plain, ( ~hBOOL(hAPP(hAPP(_u12911, _u12912), _u12913)) | hBOOL(hAPP(hAPP(_u12911, _u12913), _u12912)) | ~c_Equiv__Relations_Oequivp(_u12910, _u12911) )).
% 13.06/13.33 cnf(matrix-5963, plain, ( hBOOL(hAPP(hAPP(_u12915, _u12916), _u12916)) | ~c_Equiv__Relations_Oequivp(_u12914, _u12915) )).
% 13.06/13.33 cnf(matrix-5964, plain, ( ~c_Equiv__Relations_Oequivp(_u12931, _u12933) | ~hBOOL(hAPP(hAPP(_u12933, _u12925), _u12923)) | ( hAPP(_u12933, _u12925) = hAPP(_u12933, _u12923)) )).
% 13.06/13.33 cnf(matrix-5965, plain, ( ~c_Equiv__Relations_Oequivp(_u12931, _u12933) | ( hAPP(_u12933, _u12926) != hAPP(_u12933, _u12924)) | hBOOL(hAPP(hAPP(_u12933, _u12926), _u12924)) )).
% 13.06/13.33 cnf(matrix-5966, plain, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | hBOOL(hAPP(hAPP(_u12934, skolem278(_u12934)), skolem279(_u12934))) | ( hAPP(_u12934, skolem280(_u12934)) = hAPP(_u12934, skolem281(_u12934))) )).
% 13.06/13.33 cnf(matrix-5967, plain, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | hBOOL(hAPP(hAPP(_u12934, skolem278(_u12934)), skolem279(_u12934))) | ~hBOOL(hAPP(hAPP(_u12934, skolem280(_u12934)), skolem281(_u12934))) )).
% 13.06/13.33 cnf(matrix-5968, plain, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | ( hAPP(_u12934, skolem278(_u12934)) != hAPP(_u12934, skolem279(_u12934))) | ( hAPP(_u12934, skolem280(_u12934)) = hAPP(_u12934, skolem281(_u12934))) )).
% 13.06/13.33 cnf(matrix-5969, plain, ( c_Equiv__Relations_Oequivp(_u12932, _u12934) | ( hAPP(_u12934, skolem278(_u12934)) != hAPP(_u12934, skolem279(_u12934))) | ~hBOOL(hAPP(hAPP(_u12934, skolem280(_u12934)), skolem281(_u12934))) )).
% 13.06/13.33 cnf(matrix-5970, plain, ( c_Equiv__Relations_Oequivp(_u12935, c_fequal) )).
% 13.06/13.33 cnf(matrix-5971, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u12936)), c_Int_OInteg)) )).
% 13.06/13.33 cnf(matrix-5972, 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) )).
% 13.06/13.33 cnf(matrix-5973, plain, ( ~c_Fun_Oinj__on(_u12937, _u12938, _u12939, c_Orderings_Otop__class_Otop(tc_fun(_u12937, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12937, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12937, _u12938, _u12939), hAPP(hAPP(c_Set_Oinsert(_u12938), _u12940), c_Orderings_Obot__class_Obot(tc_fun(_u12938, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u12937), c_HOL_OThe(_u12937, hAPP(hAPP(c_COMBC(_u12937, _u12938, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12938, tc_fun(_u12938, tc_HOL_Obool), _u12937), c_fequal), _u12939)), _u12940))), c_Orderings_Obot__class_Obot(tc_fun(_u12937, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-5974, plain, ( ~class_Groups_Ocomm__monoid__add(_u12942) | ~class_Groups_Ocomm__monoid__mult(_u12942) | ( _u12943 != _u12944) | ~c_Nat__Transfer_Onat__set(_u12944) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12945), _u12943) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12946), _u12944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem282(_u12946, _u12945, _u12944, _u12943, _u12942))) )).
% 13.06/13.33 cnf(matrix-5975, plain, ( ~class_Groups_Ocomm__monoid__add(_u12942) | ~class_Groups_Ocomm__monoid__mult(_u12942) | ( _u12943 != _u12944) | ~c_Nat__Transfer_Onat__set(_u12944) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12945), _u12943) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12942), _u12946), _u12944)) | ( hAPP(_u12945, skolem282(_u12946, _u12945, _u12944, _u12943, _u12942)) != hAPP(_u12946, skolem282(_u12946, _u12945, _u12944, _u12943, _u12942))) )).
% 13.06/13.33 cnf(matrix-5976, plain, ( ( hAPP(_u12947, _u12948) != _u12949) | ~hBOOL(hAPP(hAPP(c_member(_u12950), _u12949), _u12951)) | hBOOL(hAPP(hAPP(c_member(_u12952), _u12948), hAPP(c_Set_Ovimage(_u12952, _u12950, _u12947), _u12951))) )).
% 13.06/13.33 cnf(matrix-5977, plain, ( ( hAPP(c_Set_Ovimage(_u12953, _u12954, _u12955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12954, tc_HOL_Obool)), _u12956), _u12957)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12953, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12953, _u12954, _u12955), _u12956)), hAPP(c_Set_Ovimage(_u12953, _u12954, _u12955), _u12957))) )).
% 13.06/13.33 cnf(matrix-5978, plain, ( ( hAPP(c_Set_Ovimage(_u12958, _u12958, c_COMBI(_u12958)), _u12959) = _u12959) )).
% 13.06/13.33 cnf(matrix-5979, plain, ( ( hAPP(c_Set_Ovimage(_u12960, _u12961, _u12962), c_Orderings_Obot__class_Obot(tc_fun(_u12961, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12960, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-5980, plain, ( hBOOL(hAPP(_u12974, hAPP(_u12972, _u12976))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12968, _u12970, _u12972), _u12974), _u12976)) )).
% 13.06/13.33 cnf(matrix-5981, plain, ( ~hBOOL(hAPP(_u12975, hAPP(_u12973, _u12977))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12969, _u12971, _u12973), _u12975), _u12977)) )).
% 13.06/13.33 cnf(matrix-5982, plain, ( ( hAPP(c_Set_Ovimage(_u12978, _u12979, _u12980), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12979, tc_HOL_Obool)), _u12981)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12978, _u12979, _u12980), _u12981))) )).
% 13.06/13.33 cnf(matrix-5983, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12982), hAPP(_u12983, _u12984)), _u12985)) | hBOOL(hAPP(hAPP(c_member(_u12986), _u12984), hAPP(c_Set_Ovimage(_u12986, _u12982, _u12983), _u12985))) )).
% 13.06/13.33 cnf(matrix-5984, plain, ( hBOOL(hAPP(hAPP(c_member(_u12989), hAPP(_u12990, _u12988)), _u12991)) | ~hBOOL(hAPP(hAPP(c_member(_u12987), _u12988), hAPP(c_Set_Ovimage(_u12987, _u12989, _u12990), _u12991))) )).
% 13.06/13.33 cnf(matrix-5985, plain, ( hBOOL(hAPP(hAPP(c_member(_u13001), hAPP(_u13003, _u12999)), _u13005)) | ~hBOOL(hAPP(hAPP(c_member(_u12997), _u12999), hAPP(c_Set_Ovimage(_u12997, _u13001, _u13003), _u13005))) )).
% 13.06/13.33 cnf(matrix-5986, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13002), hAPP(_u13004, _u13000)), _u13006)) | hBOOL(hAPP(hAPP(c_member(_u12998), _u13000), hAPP(c_Set_Ovimage(_u12998, _u13002, _u13004), _u13006))) )).
% 13.06/13.33 cnf(matrix-5987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13007, tc_HOL_Obool)), _u13008), _u13009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13010, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13010, _u13007, _u13011), _u13008)), hAPP(c_Set_Ovimage(_u13010, _u13007, _u13011), _u13009))) )).
% 13.06/13.33 cnf(matrix-5988, plain, ( ( hAPP(c_Set_Ovimage(_u13012, _u13013, _u13014), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13013, tc_HOL_Obool)), _u13015), _u13016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13012, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13012, _u13013, _u13014), _u13015)), hAPP(c_Set_Ovimage(_u13012, _u13013, _u13014), _u13016))) )).
% 13.06/13.33 cnf(matrix-5989, plain, ( ( hAPP(c_Set_Ovimage(_u13017, _u13018, _u13019), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13018, tc_HOL_Obool)), _u13020), _u13021)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13017, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13017, _u13018, _u13019), _u13020)), hAPP(c_Set_Ovimage(_u13017, _u13018, _u13019), _u13021))) )).
% 13.06/13.33 cnf(matrix-5990, plain, ( ( hAPP(c_Set_Ovimage(_u13022, _u13023, _u13024), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(_u13023, tc_HOL_Obool)), _u13026), _u13027)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13025, tc_fun(_u13022, tc_HOL_Obool)), _u13026), hAPP(hAPP(c_COMBB(tc_fun(_u13023, tc_HOL_Obool), tc_fun(_u13022, tc_HOL_Obool), _u13025), c_Set_Ovimage(_u13022, _u13023, _u13024)), _u13027))) )).
% 13.06/13.33 cnf(matrix-5991, plain, ( ( hAPP(c_Set_Ovimage(_u13028, _u13029, _u13030), c_Orderings_Otop__class_Otop(tc_fun(_u13029, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13028, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-5992, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13031, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13032, _u13031, _u13033), hAPP(c_Set_Ovimage(_u13032, _u13031, _u13033), _u13034))), _u13034)) )).
% 13.06/13.33 cnf(matrix-5993, plain, ( ( hAPP(c_Set_Oimage(_u13035, _u13036, _u13037), c_Orderings_Otop__class_Otop(tc_fun(_u13035, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13035, _u13036, _u13037), hAPP(c_Set_Ovimage(_u13035, _u13036, _u13037), _u13038)) = _u13038) )).
% 13.06/13.33 cnf(matrix-5994, plain, ( ( hAPP(_u13050, _u13046) = _u13052) | ~hBOOL(hAPP(hAPP(c_member(_u13044), _u13046), hAPP(c_Set_Ovimage(_u13044, _u13048, _u13050), hAPP(hAPP(c_Set_Oinsert(_u13048), _u13052), c_Orderings_Obot__class_Obot(tc_fun(_u13048, tc_HOL_Obool)))))) )).
% 13.06/13.33 cnf(matrix-5995, plain, ( ( hAPP(_u13051, _u13047) != _u13053) | hBOOL(hAPP(hAPP(c_member(_u13045), _u13047), hAPP(c_Set_Ovimage(_u13045, _u13049, _u13051), hAPP(hAPP(c_Set_Oinsert(_u13049), _u13053), c_Orderings_Obot__class_Obot(tc_fun(_u13049, tc_HOL_Obool)))))) )).
% 13.06/13.33 cnf(matrix-5996, plain, ( ( hAPP(c_Set_Ovimage(_u13054, _u13055, _u13056), hAPP(hAPP(c_Set_Oinsert(_u13055), _u13057), _u13058)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13054, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13054, _u13055, _u13056), hAPP(hAPP(c_Set_Oinsert(_u13055), _u13057), c_Orderings_Obot__class_Obot(tc_fun(_u13055, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u13054, _u13055, _u13056), _u13058))) )).
% 13.06/13.33 cnf(matrix-5997, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13059), hAPP(c_Set_Ovimage(_u13059, _u13060, _u13061), _u13062))) | ( hAPP(c_Set_Oimage(_u13059, _u13060, _u13061), c_Orderings_Otop__class_Otop(tc_fun(_u13059, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13060, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13060), _u13062)) )).
% 13.06/13.33 cnf(matrix-5998, plain, ( ( hAPP(c_Set_Oimage(_u13063, _u13064, _u13065), c_Orderings_Otop__class_Otop(tc_fun(_u13063, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13064, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13063, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13063, _u13064, _u13065), _u13066)), _u13067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13064, tc_HOL_Obool)), _u13066), hAPP(c_Set_Oimage(_u13063, _u13064, _u13065), _u13067))) )).
% 13.06/13.33 cnf(matrix-5999, plain, ( ( hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), hAPP(c_Set_Ovimage(_u13068, _u13069, _u13070), _u13071)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13069, tc_HOL_Obool)), _u13071), hAPP(c_Set_Oimage(_u13068, _u13069, _u13070), c_Orderings_Otop__class_Otop(tc_fun(_u13068, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-6000, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13072), _u13073)) | ~c_Fun_Oinj__on(_u13074, _u13072, _u13075, c_Orderings_Otop__class_Otop(tc_fun(_u13074, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13074), hAPP(c_Set_Ovimage(_u13074, _u13072, _u13075), _u13073))) )).
% 13.06/13.33 cnf(matrix-6001, plain, ( ~c_Fun_Oinj__on(_u13076, _u13077, _u13078, c_Orderings_Otop__class_Otop(tc_fun(_u13076, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u13076, _u13077, _u13078), hAPP(c_Set_Oimage(_u13076, _u13077, _u13078), _u13079)) = _u13079) )).
% 13.06/13.33 cnf(matrix-6002, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13084), _u13086), _u13088)) | ( hAPP(c_Set_Ovimage(_u13090, _u13084, hAPP(c_COMBK(_u13084, _u13090), _u13086)), _u13088) = c_Orderings_Otop__class_Otop(tc_fun(_u13090, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6003, plain, ( hBOOL(hAPP(hAPP(c_member(_u13085), _u13087), _u13089)) | ( hAPP(c_Set_Ovimage(_u13091, _u13085, hAPP(c_COMBK(_u13085, _u13091), _u13087)), _u13089) = c_Orderings_Obot__class_Obot(tc_fun(_u13091, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6004, plain, ( ( hAPP(c_Set_Ovimage(_u13092, _u13093, _u13094), _u13095) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13093, tc_fun(_u13092, tc_HOL_Obool)), _u13095), hAPP(hAPP(c_COMBB(tc_fun(_u13093, tc_HOL_Obool), tc_fun(_u13092, tc_HOL_Obool), _u13093), c_Set_Ovimage(_u13092, _u13093, _u13094)), hAPP(hAPP(c_COMBC(_u13093, tc_fun(_u13093, tc_HOL_Obool), tc_fun(_u13093, tc_HOL_Obool)), c_Set_Oinsert(_u13093)), c_Orderings_Obot__class_Obot(tc_fun(_u13093, tc_HOL_Obool)))))) )).
% 13.06/13.33 cnf(matrix-6005, plain, ( ~c_Fun_Oinj__on(_u13096, _u13097, _u13098, c_Orderings_Otop__class_Otop(tc_fun(_u13096, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13097, tc_HOL_Obool)), _u13099), hAPP(c_Set_Oimage(_u13096, _u13097, _u13098), _u13100))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13096, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13096, _u13097, _u13098), _u13099)), _u13100)) )).
% 13.06/13.33 cnf(matrix-6006, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13107), _u13109), _u13111)) | ~hBOOL(hAPP(hAPP(c_member(_u13107), _u13113), _u13111)) | ( hAPP(c_Set_Ovimage(_u13115, _u13107, hAPP(hAPP(c_COMBC(_u13115, _u13107, _u13107), hAPP(hAPP(c_COMBC(_u13115, _u13107, tc_fun(_u13107, _u13107)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13107, tc_fun(_u13107, _u13107)), _u13115), c_If(_u13107)), hAPP(hAPP(c_COMBC(_u13115, tc_fun(_u13115, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13115)), _u13117))), _u13109)), _u13113)), _u13111) = c_Orderings_Otop__class_Otop(tc_fun(_u13115, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6007, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13107), _u13109), _u13111)) | hBOOL(hAPP(hAPP(c_member(_u13107), _u13113), _u13111)) | ( hAPP(c_Set_Ovimage(_u13115, _u13107, hAPP(hAPP(c_COMBC(_u13115, _u13107, _u13107), hAPP(hAPP(c_COMBC(_u13115, _u13107, tc_fun(_u13107, _u13107)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13107, tc_fun(_u13107, _u13107)), _u13115), c_If(_u13107)), hAPP(hAPP(c_COMBC(_u13115, tc_fun(_u13115, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13115)), _u13117))), _u13109)), _u13113)), _u13111) = _u13117) )).
% 13.06/13.33 cnf(matrix-6008, plain, ( hBOOL(hAPP(hAPP(c_member(_u13108), _u13110), _u13112)) | ~hBOOL(hAPP(hAPP(c_member(_u13108), _u13114), _u13112)) | ( hAPP(c_Set_Ovimage(_u13116, _u13108, hAPP(hAPP(c_COMBC(_u13116, _u13108, _u13108), hAPP(hAPP(c_COMBC(_u13116, _u13108, tc_fun(_u13108, _u13108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13108, tc_fun(_u13108, _u13108)), _u13116), c_If(_u13108)), hAPP(hAPP(c_COMBC(_u13116, tc_fun(_u13116, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13116)), _u13118))), _u13110)), _u13114)), _u13112) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13116, tc_HOL_Obool)), _u13118)) )).
% 13.06/13.33 cnf(matrix-6009, plain, ( hBOOL(hAPP(hAPP(c_member(_u13108), _u13110), _u13112)) | hBOOL(hAPP(hAPP(c_member(_u13108), _u13114), _u13112)) | ( hAPP(c_Set_Ovimage(_u13116, _u13108, hAPP(hAPP(c_COMBC(_u13116, _u13108, _u13108), hAPP(hAPP(c_COMBC(_u13116, _u13108, tc_fun(_u13108, _u13108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13108, tc_fun(_u13108, _u13108)), _u13116), c_If(_u13108)), hAPP(hAPP(c_COMBC(_u13116, tc_fun(_u13116, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13116)), _u13118))), _u13110)), _u13114)), _u13112) = c_Orderings_Obot__class_Obot(tc_fun(_u13116, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6010, plain, ( ~c_Typedef_Otype__definition(_u13119, _u13120, _u13121, _u13122, _u13123) | ( hAPP(c_Set_Oimage(_u13119, _u13120, _u13121), c_Orderings_Otop__class_Otop(tc_fun(_u13119, tc_HOL_Obool))) = _u13123) )).
% 13.06/13.33 cnf(matrix-6011, plain, ( ~c_Typedef_Otype__definition(_u13124, _u13125, _u13126, _u13127, _u13128) | ( hAPP(c_Set_Oimage(_u13125, _u13124, _u13127), _u13128) = c_Orderings_Otop__class_Otop(tc_fun(_u13124, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6012, plain, ( hBOOL(hAPP(hAPP(c_member(_u13130), hAPP(_u13131, _u13134)), _u13133)) | ~c_Typedef_Otype__definition(_u13129, _u13130, _u13131, _u13132, _u13133) )).
% 13.06/13.33 cnf(matrix-6013, plain, ( ( hAPP(_u13138, hAPP(_u13137, _u13140)) = _u13140) | ~c_Typedef_Otype__definition(_u13135, _u13136, _u13137, _u13138, _u13139) )).
% 13.06/13.33 cnf(matrix-6014, plain, ( ~c_Typedef_Otype__definition(_u13141, _u13142, _u13143, _u13144, _u13145) | ( hAPP(_u13143, _u13146) != hAPP(_u13143, _u13147)) | ( _u13146 = _u13147) )).
% 13.06/13.33 cnf(matrix-6015, plain, ( ~c_Typedef_Otype__definition(_u13141, _u13142, _u13143, _u13144, _u13145) | ( _u13146 != _u13147) | ( hAPP(_u13143, _u13146) = hAPP(_u13143, _u13147)) )).
% 13.06/13.33 cnf(matrix-6016, 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))) )).
% 13.06/13.33 cnf(matrix-6017, plain, ( ~c_Typedef_Otype__definition(_u13148, _u13149, _u13150, _u13151, _u13152) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13153), _u13152)) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13154), _u13152)) | ( hAPP(_u13151, _u13153) != hAPP(_u13151, _u13154)) | ( _u13153 = _u13154) )).
% 13.06/13.33 cnf(matrix-6018, plain, ( ~c_Typedef_Otype__definition(_u13148, _u13149, _u13150, _u13151, _u13152) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13153), _u13152)) | ~hBOOL(hAPP(hAPP(c_member(_u13149), _u13154), _u13152)) | ( _u13153 != _u13154) | ( hAPP(_u13151, _u13153) = hAPP(_u13151, _u13154)) )).
% 13.06/13.33 cnf(matrix-6019, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13156), _u13160), _u13159)) | ( hAPP(_u13157, hAPP(_u13158, _u13160)) = _u13160) | ~c_Typedef_Otype__definition(_u13155, _u13156, _u13157, _u13158, _u13159) )).
% 13.06/13.33 cnf(matrix-6020, plain, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13169), _u13173)) )).
% 13.06/13.33 cnf(matrix-6021, plain, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13169), _u13175)) )).
% 13.06/13.33 cnf(matrix-6022, plain, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | ( _u13175 != c_Orderings_Obot__class_Obot(tc_fun(_u13169, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6023, plain, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | ~hBOOL(hAPP(hAPP(c_member(_u13169), _u13162), _u13173)) | hBOOL(hAPP(hAPP(c_member(_u13169), skolem283(_u13175, _u13173, _u13171, _u13169, _u13162)), _u13175)) )).
% 13.06/13.33 cnf(matrix-6024, plain, ( ~c_Wellfounded_Omax__extp(_u13169, _u13171, _u13173, _u13175) | ~hBOOL(hAPP(hAPP(c_member(_u13169), _u13162), _u13173)) | hBOOL(hAPP(hAPP(_u13171, _u13162), skolem283(_u13175, _u13173, _u13171, _u13169, _u13162))) )).
% 13.06/13.33 cnf(matrix-6025, plain, ( c_Wellfounded_Omax__extp(_u13170, _u13172, _u13174, _u13176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13174)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13176)) | ( _u13176 = c_Orderings_Obot__class_Obot(tc_fun(_u13170, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13170), skolem284(_u13176, _u13174, _u13172, _u13170)), _u13174)) )).
% 13.06/13.33 cnf(matrix-6026, plain, ( c_Wellfounded_Omax__extp(_u13170, _u13172, _u13174, _u13176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13174)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13170), _u13176)) | ( _u13176 = c_Orderings_Obot__class_Obot(tc_fun(_u13170, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13170), _u13163), _u13176)) | ~hBOOL(hAPP(hAPP(_u13172, skolem284(_u13176, _u13174, _u13172, _u13170)), _u13163)) )).
% 13.06/13.33 cnf(matrix-6027, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13180)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13181)) | ( _u13181 = c_Orderings_Obot__class_Obot(tc_fun(_u13179, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool)), _u13180), _u13181)), c_Wellfounded_Omax__ext(_u13179, _u13182))) | hBOOL(hAPP(hAPP(c_member(_u13179), skolem285(_u13182, _u13181, _u13180, _u13179)), _u13180)) )).
% 13.06/13.33 cnf(matrix-6028, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13180)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13179), _u13181)) | ( _u13181 = c_Orderings_Obot__class_Obot(tc_fun(_u13179, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13179, tc_HOL_Obool), tc_fun(_u13179, tc_HOL_Obool)), _u13180), _u13181)), c_Wellfounded_Omax__ext(_u13179, _u13182))) | ~hBOOL(hAPP(hAPP(c_member(_u13179), _u13177), _u13181)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13179, _u13179)), hAPP(hAPP(c_Product__Type_OPair(_u13179, _u13179), skolem285(_u13182, _u13181, _u13180, _u13179)), _u13177)), _u13182)) )).
% 13.06/13.33 cnf(matrix-6029, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13185, _u13186, hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188)), _u13189)) | ( hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188) = hAPP(hAPP(c_Set_Oinsert(_u13185), skolem286(_u13189, _u13188, _u13187, _u13186, _u13185)), skolem287(_u13189, _u13188, _u13187, _u13186, _u13185))) )).
% 13.06/13.33 cnf(matrix-6030, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13185, _u13186, hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188)), _u13189)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13185, _u13185, _u13186, skolem286(_u13189, _u13188, _u13187, _u13186, _u13185), skolem287(_u13189, _u13188, _u13187, _u13186, _u13185)), _u13189)) )).
% 13.06/13.33 cnf(matrix-6031, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13185, _u13186, hAPP(hAPP(c_Set_Oinsert(_u13185), _u13187), _u13188)), _u13189)) | ~hBOOL(hAPP(hAPP(c_member(_u13185), skolem286(_u13189, _u13188, _u13187, _u13186, _u13185)), skolem287(_u13189, _u13188, _u13187, _u13186, _u13185))) )).
% 13.06/13.33 cnf(matrix-6032, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13199, _u13201, hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205)), _u13207)) | ( hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205) = hAPP(hAPP(c_Set_Oinsert(_u13199), skolem288(_u13207, _u13205, _u13203, _u13201, _u13199)), skolem289(_u13207, _u13205, _u13203, _u13201, _u13199))) )).
% 13.06/13.33 cnf(matrix-6033, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13199, _u13201, hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205)), _u13207)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13199, _u13199, _u13201, skolem288(_u13207, _u13205, _u13203, _u13201, _u13199), skolem289(_u13207, _u13205, _u13203, _u13201, _u13199)), _u13207)) )).
% 13.06/13.33 cnf(matrix-6034, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13199, _u13201, hAPP(hAPP(c_Set_Oinsert(_u13199), _u13203), _u13205)), _u13207)) | ~hBOOL(hAPP(hAPP(c_member(_u13199), skolem288(_u13207, _u13205, _u13203, _u13201, _u13199)), skolem289(_u13207, _u13205, _u13203, _u13201, _u13199))) )).
% 13.06/13.33 cnf(matrix-6035, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13200), _u13204), _u13206) != hAPP(hAPP(c_Set_Oinsert(_u13200), _u13193), _u13192)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13200, _u13200, _u13202, _u13193, _u13192), _u13208)) | hBOOL(hAPP(hAPP(c_member(_u13200), _u13193), _u13192)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13200, _u13202, hAPP(hAPP(c_Set_Oinsert(_u13200), _u13204), _u13206)), _u13208)) )).
% 13.06/13.33 cnf(matrix-6036, plain, ( ( hAPP(c_Set_Oimage(_u13209, tc_prod(_u13210, _u13211), hAPP(hAPP(c_COMBS(_u13209, _u13211, tc_prod(_u13210, _u13211)), hAPP(hAPP(c_COMBB(_u13210, tc_fun(_u13211, tc_prod(_u13210, _u13211)), _u13209), c_Product__Type_OPair(_u13210, _u13211)), _u13212)), _u13213)), _u13214) = hAPP(hAPP(c_Product__Type_OSigma(_u13210, _u13211), hAPP(c_Set_Oimage(_u13209, _u13210, _u13212), _u13214)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13211, tc_HOL_Obool), _u13210), c_Set_Oimage(_u13209, _u13211, _u13213)), hAPP(hAPP(c_COMBC(_u13210, tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool)), _u13210), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13209, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13210, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool), _u13210), c_Set_Ovimage(_u13209, _u13210, _u13212)), hAPP(hAPP(c_COMBC(_u13210, tc_fun(_u13210, tc_HOL_Obool), tc_fun(_u13210, tc_HOL_Obool)), c_Set_Oinsert(_u13210)), c_Orderings_Obot__class_Obot(tc_fun(_u13210, tc_HOL_Obool)))))), _u13214)))) )).
% 13.06/13.33 cnf(matrix-6037, plain, ( ~class_Groups_Oab__semigroup__mult(_u13215) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13215), _u13216)) | ( _u13216 = c_Orderings_Obot__class_Obot(tc_fun(_u13215, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13215), _u13217)) | ( _u13217 = c_Orderings_Obot__class_Obot(tc_fun(_u13215, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13215, tc_HOL_Obool)), _u13216), _u13217) != c_Orderings_Obot__class_Obot(tc_fun(_u13215, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u13215, c_Groups_Otimes__class_Otimes(_u13215)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13215, tc_HOL_Obool)), _u13216), _u13217)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13215), hAPP(c_Finite__Set_Ofold1(_u13215, c_Groups_Otimes__class_Otimes(_u13215)), _u13216)), hAPP(c_Finite__Set_Ofold1(_u13215, c_Groups_Otimes__class_Otimes(_u13215)), _u13217))) )).
% 13.06/13.33 cnf(matrix-6038, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13218), _u13219), _u13220)) | ~hBOOL(hAPP(hAPP(c_member(_u13221), _u13222), hAPP(_u13223, _u13219))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13218, _u13221)), hAPP(hAPP(c_Product__Type_OPair(_u13218, _u13221), _u13219), _u13222)), hAPP(hAPP(c_Product__Type_OSigma(_u13218, _u13221), _u13220), _u13223))) )).
% 13.06/13.33 cnf(matrix-6039, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13224), _u13225), _u13226)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13228), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226)) != hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13229), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226))) | ( _u13228 = _u13229) )).
% 13.06/13.33 cnf(matrix-6040, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13224), _u13225), _u13226)) | ( _u13228 != _u13229) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13228), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226)) = hAPP(hAPP(c_Product__Type_OSigma(_u13227, _u13224), _u13229), hAPP(c_COMBK(tc_fun(_u13224, tc_HOL_Obool), _u13227), _u13226))) )).
% 13.06/13.33 cnf(matrix-6041, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13230, _u13231), c_Orderings_Obot__class_Obot(tc_fun(_u13230, tc_HOL_Obool))), _u13232) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13230, _u13231), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6042, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13233, _u13234), _u13235), hAPP(hAPP(c_COMBS(_u13233, tc_fun(_u13234, tc_HOL_Obool), tc_fun(_u13234, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13234, tc_HOL_Obool), tc_fun(tc_fun(_u13234, tc_HOL_Obool), tc_fun(_u13234, tc_HOL_Obool)), _u13233), c_Groups_Ominus__class_Ominus(tc_fun(_u13234, tc_HOL_Obool))), _u13236)), _u13237)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13233, _u13234), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13233, _u13234), _u13235), _u13236)), hAPP(hAPP(c_Product__Type_OSigma(_u13233, _u13234), _u13235), _u13237))) )).
% 13.06/13.33 cnf(matrix-6043, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13238, _u13239), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13238, tc_HOL_Obool)), _u13240), _u13241)), hAPP(c_COMBK(tc_fun(_u13239, tc_HOL_Obool), _u13238), _u13242)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13238, _u13239), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13238, _u13239), _u13240), hAPP(c_COMBK(tc_fun(_u13239, tc_HOL_Obool), _u13238), _u13242))), hAPP(hAPP(c_Product__Type_OSigma(_u13238, _u13239), _u13241), hAPP(c_COMBK(tc_fun(_u13239, tc_HOL_Obool), _u13238), _u13242)))) )).
% 13.06/13.33 cnf(matrix-6044, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13243, _u13244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13243, tc_HOL_Obool)), _u13245), _u13246)), _u13247) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13243, _u13244), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13243, _u13244), _u13245), _u13247)), hAPP(hAPP(c_Product__Type_OSigma(_u13243, _u13244), _u13246), _u13247))) )).
% 13.06/13.33 cnf(matrix-6045, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13248, _u13249)), hAPP(hAPP(c_Product__Type_OSigma(_u13248, _u13249), _u13250), hAPP(c_COMBK(tc_fun(_u13249, tc_HOL_Obool), _u13248), _u13251))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13248), _u13250)), hAPP(c_Finite__Set_Ocard(_u13249), _u13251))) )).
% 13.06/13.33 cnf(matrix-6046, plain, ( ~class_Groups_Ocomm__monoid__add(_u13252) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13253, _u13252), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13254, tc_HOL_Obool), _u13252), hAPP(hAPP(c_COMBB(tc_fun(_u13254, _u13252), tc_fun(tc_fun(_u13254, tc_HOL_Obool), _u13252), _u13253), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13254, _u13252)), _u13255)), _u13256)), _u13257) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13253, _u13254), _u13252), hAPP(c_Product__Type_Oprod_Oprod__case(_u13253, _u13254, _u13252), _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13254), _u13257), hAPP(c_COMBK(tc_fun(_u13254, tc_HOL_Obool), _u13253), _u13256)))) )).
% 13.06/13.33 cnf(matrix-6047, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13262, _u13264), _u13266), hAPP(c_COMBK(tc_fun(_u13264, tc_HOL_Obool), _u13262), _u13268)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13262, _u13264), tc_HOL_Obool))) | ( _u13266 = c_Orderings_Obot__class_Obot(tc_fun(_u13262, tc_HOL_Obool))) | ( _u13268 = c_Orderings_Obot__class_Obot(tc_fun(_u13264, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6048, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13263, _u13265), _u13267), hAPP(c_COMBK(tc_fun(_u13265, tc_HOL_Obool), _u13263), _u13269)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13263, _u13265), tc_HOL_Obool))) | ( _u13267 != c_Orderings_Obot__class_Obot(tc_fun(_u13263, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6049, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13263, _u13265), _u13267), hAPP(c_COMBK(tc_fun(_u13265, tc_HOL_Obool), _u13263), _u13269)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13263, _u13265), tc_HOL_Obool))) | ( _u13269 != c_Orderings_Obot__class_Obot(tc_fun(_u13265, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6050, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13270, _u13271), _u13272), hAPP(c_COMBK(tc_fun(_u13271, tc_HOL_Obool), _u13270), c_Orderings_Obot__class_Obot(tc_fun(_u13271, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13270, _u13271), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6051, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13273, _u13274), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13273, _u13274), c_Orderings_Otop__class_Otop(tc_fun(_u13273, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13274, tc_HOL_Obool), _u13273), _u13275))) = hAPP(hAPP(c_Product__Type_OSigma(_u13273, _u13274), c_Orderings_Otop__class_Otop(tc_fun(_u13273, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13274, tc_HOL_Obool), _u13273), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13274, tc_HOL_Obool)), _u13275)))) )).
% 13.06/13.33 cnf(matrix-6052, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13276, _u13277), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13276, _u13277), _u13278), hAPP(c_COMBK(tc_fun(_u13277, tc_HOL_Obool), _u13276), c_Orderings_Otop__class_Otop(tc_fun(_u13277, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13276, _u13277), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13276, tc_HOL_Obool)), _u13278)), hAPP(c_COMBK(tc_fun(_u13277, tc_HOL_Obool), _u13276), c_Orderings_Otop__class_Otop(tc_fun(_u13277, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-6053, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13279) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13280, _u13279), hAPP(hAPP(c_COMBC(_u13280, tc_fun(_u13281, tc_HOL_Obool), _u13279), hAPP(hAPP(c_COMBB(tc_fun(_u13281, _u13279), tc_fun(tc_fun(_u13281, tc_HOL_Obool), _u13279), _u13280), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13281, _u13279)), _u13282)), _u13283)), _u13284) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13280, _u13281), _u13279), hAPP(c_Product__Type_Oprod_Oprod__case(_u13280, _u13281, _u13279), _u13282)), hAPP(hAPP(c_Product__Type_OSigma(_u13280, _u13281), _u13284), hAPP(c_COMBK(tc_fun(_u13281, tc_HOL_Obool), _u13280), _u13283)))) )).
% 13.06/13.33 cnf(matrix-6054, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13285, _u13286), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13285, tc_HOL_Obool)), _u13287), _u13288)), _u13289) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13285, _u13286), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13285, _u13286), _u13287), _u13289)), hAPP(hAPP(c_Product__Type_OSigma(_u13285, _u13286), _u13288), _u13289))) )).
% 13.06/13.33 cnf(matrix-6055, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13290, _u13291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13290, tc_HOL_Obool)), _u13292), _u13293)), hAPP(c_COMBK(tc_fun(_u13291, tc_HOL_Obool), _u13290), _u13294)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13290, _u13291), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13290, _u13291), _u13292), hAPP(c_COMBK(tc_fun(_u13291, tc_HOL_Obool), _u13290), _u13294))), hAPP(hAPP(c_Product__Type_OSigma(_u13290, _u13291), _u13293), hAPP(c_COMBK(tc_fun(_u13291, tc_HOL_Obool), _u13290), _u13294)))) )).
% 13.06/13.33 cnf(matrix-6056, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13295, _u13296), _u13297), hAPP(hAPP(c_COMBS(_u13295, tc_fun(_u13296, tc_HOL_Obool), tc_fun(_u13296, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13296, tc_HOL_Obool), tc_fun(tc_fun(_u13296, tc_HOL_Obool), tc_fun(_u13296, tc_HOL_Obool)), _u13295), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13296, tc_HOL_Obool))), _u13298)), _u13299)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13295, _u13296), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13295, _u13296), _u13297), _u13298)), hAPP(hAPP(c_Product__Type_OSigma(_u13295, _u13296), _u13297), _u13299))) )).
% 13.06/13.33 cnf(matrix-6057, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13300, _u13301), tc_prod(_u13301, _u13300), hAPP(c_Product__Type_Oprod_Oprod__case(_u13300, _u13301, tc_prod(_u13301, _u13300)), hAPP(c_COMBC(_u13301, _u13300, tc_prod(_u13301, _u13300)), c_Product__Type_OPair(_u13301, _u13300)))), hAPP(hAPP(c_Product__Type_OSigma(_u13300, _u13301), _u13302), hAPP(c_COMBK(tc_fun(_u13301, tc_HOL_Obool), _u13300), _u13303))) = hAPP(hAPP(c_Product__Type_OSigma(_u13301, _u13300), _u13303), hAPP(c_COMBK(tc_fun(_u13300, tc_HOL_Obool), _u13301), _u13302))) )).
% 13.06/13.33 cnf(matrix-6058, plain, ( ( _u13304 != c_Finite__Set_Ofold1(_u13305, _u13306)) | ( hAPP(_u13304, hAPP(hAPP(c_Set_Oinsert(_u13305), _u13307), c_Orderings_Obot__class_Obot(tc_fun(_u13305, tc_HOL_Obool)))) = _u13307) )).
% 13.06/13.33 cnf(matrix-6059, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u13308, _u13309), hAPP(hAPP(c_Set_Oinsert(_u13308), _u13310), c_Orderings_Obot__class_Obot(tc_fun(_u13308, tc_HOL_Obool)))) = _u13310) )).
% 13.06/13.33 cnf(matrix-6060, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13311), _u13312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13313), _u13314)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13311, _u13313)), hAPP(hAPP(c_Product__Type_OSigma(_u13311, _u13313), _u13312), hAPP(c_COMBK(tc_fun(_u13313, tc_HOL_Obool), _u13311), _u13314)))) )).
% 13.06/13.33 cnf(matrix-6061, plain, ( ~c_Equiv__Relations_Oequiv(_u13315, _u13316, _u13317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13315, _u13315), tc_HOL_Obool)), _u13317), hAPP(hAPP(c_Product__Type_OSigma(_u13315, _u13315), _u13316), hAPP(c_COMBK(tc_fun(_u13315, tc_HOL_Obool), _u13315), _u13316)))) )).
% 13.06/13.33 cnf(matrix-6062, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13318, _u13319), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13318, tc_HOL_Obool)), _u13320), _u13321)), _u13322) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13318, _u13319), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13318, _u13319), _u13320), _u13322)), hAPP(hAPP(c_Product__Type_OSigma(_u13318, _u13319), _u13321), _u13322))) )).
% 13.06/13.33 cnf(matrix-6063, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13324), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13323, tc_HOL_Obool)), _u13325), _u13326)), hAPP(c_COMBK(tc_fun(_u13324, tc_HOL_Obool), _u13323), _u13327)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13323, _u13324), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13324), _u13325), hAPP(c_COMBK(tc_fun(_u13324, tc_HOL_Obool), _u13323), _u13327))), hAPP(hAPP(c_Product__Type_OSigma(_u13323, _u13324), _u13326), hAPP(c_COMBK(tc_fun(_u13324, tc_HOL_Obool), _u13323), _u13327)))) )).
% 13.06/13.33 cnf(matrix-6064, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13329), _u13330), hAPP(hAPP(c_COMBS(_u13328, tc_fun(_u13329, tc_HOL_Obool), tc_fun(_u13329, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13329, tc_HOL_Obool), tc_fun(tc_fun(_u13329, tc_HOL_Obool), tc_fun(_u13329, tc_HOL_Obool)), _u13328), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13329, tc_HOL_Obool))), _u13331)), _u13332)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13328, _u13329), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13329), _u13330), _u13331)), hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13329), _u13330), _u13332))) )).
% 13.06/13.33 cnf(matrix-6065, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13333, _u13333), tc_HOL_Obool)), c_Relation_OId__on(_u13333, _u13334)), hAPP(hAPP(c_Product__Type_OSigma(_u13333, _u13333), _u13334), hAPP(c_COMBK(tc_fun(_u13333, tc_HOL_Obool), _u13333), _u13334)))) )).
% 13.06/13.33 cnf(matrix-6066, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13335, _u13336), c_Orderings_Otop__class_Otop(tc_fun(_u13335, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13336, tc_HOL_Obool), _u13335), c_Orderings_Otop__class_Otop(tc_fun(_u13336, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13335, _u13336), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6067, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13343, _u13345)), hAPP(hAPP(c_Product__Type_OPair(_u13343, _u13345), _u13347), _u13349)), hAPP(hAPP(c_Product__Type_OSigma(_u13343, _u13345), _u13351), _u13353))) | hBOOL(hAPP(hAPP(c_member(_u13343), _u13347), _u13351)) )).
% 13.06/13.33 cnf(matrix-6068, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13343, _u13345)), hAPP(hAPP(c_Product__Type_OPair(_u13343, _u13345), _u13347), _u13349)), hAPP(hAPP(c_Product__Type_OSigma(_u13343, _u13345), _u13351), _u13353))) | hBOOL(hAPP(hAPP(c_member(_u13345), _u13349), hAPP(_u13353, _u13347))) )).
% 13.06/13.33 cnf(matrix-6069, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13344), _u13348), _u13352)) | ~hBOOL(hAPP(hAPP(c_member(_u13346), _u13350), hAPP(_u13354, _u13348))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13344, _u13346)), hAPP(hAPP(c_Product__Type_OPair(_u13344, _u13346), _u13348), _u13350)), hAPP(hAPP(c_Product__Type_OSigma(_u13344, _u13346), _u13352), _u13354))) )).
% 13.06/13.33 cnf(matrix-6070, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13355, _u13356)), hAPP(hAPP(c_Product__Type_OPair(_u13355, _u13356), _u13357), _u13358)), hAPP(hAPP(c_Product__Type_OSigma(_u13355, _u13356), _u13359), _u13360))) | hBOOL(hAPP(hAPP(c_member(_u13355), _u13357), _u13359)) )).
% 13.06/13.33 cnf(matrix-6071, plain, ( hBOOL(hAPP(hAPP(c_member(_u13362), _u13364), hAPP(_u13366, _u13363))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13361, _u13362)), hAPP(hAPP(c_Product__Type_OPair(_u13361, _u13362), _u13363), _u13364)), hAPP(hAPP(c_Product__Type_OSigma(_u13361, _u13362), _u13365), _u13366))) )).
% 13.06/13.33 cnf(matrix-6072, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13367, _u13368)), hAPP(hAPP(c_Product__Type_OPair(_u13367, _u13368), _u13369), _u13370)), hAPP(hAPP(c_Product__Type_OSigma(_u13367, _u13368), _u13371), _u13372))) | hBOOL(hAPP(hAPP(c_member(_u13367), _u13369), _u13371)) )).
% 13.06/13.33 cnf(matrix-6073, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13367, _u13368)), hAPP(hAPP(c_Product__Type_OPair(_u13367, _u13368), _u13369), _u13370)), hAPP(hAPP(c_Product__Type_OSigma(_u13367, _u13368), _u13371), _u13372))) | hBOOL(hAPP(hAPP(c_member(_u13368), _u13370), hAPP(_u13372, _u13369))) )).
% 13.06/13.33 cnf(matrix-6074, plain, ( ~c_Finite__Set_Ofolding__one(_u13373, _u13374, _u13375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13373), _u13376)) | ( hAPP(_u13375, _u13376) = hAPP(c_Finite__Set_Ofold1(_u13373, _u13374), _u13376)) )).
% 13.06/13.33 cnf(matrix-6075, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13377, _u13378)), hAPP(hAPP(c_Product__Type_OSigma(_u13377, _u13378), hAPP(hAPP(c_Set_Oinsert(_u13377), _u13379), c_Orderings_Obot__class_Obot(tc_fun(_u13377, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13378, tc_HOL_Obool), _u13377), _u13380))) = hAPP(c_Finite__Set_Ocard(_u13378), _u13380)) )).
% 13.06/13.33 cnf(matrix-6076, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13381), _u13382), _u13383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13384, _u13381), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13385), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383))), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13386), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13384, tc_HOL_Obool)), _u13385), _u13386)) )).
% 13.06/13.33 cnf(matrix-6077, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13381), _u13382), _u13383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13384, tc_HOL_Obool)), _u13385), _u13386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13384, _u13381), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13385), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383))), hAPP(hAPP(c_Product__Type_OSigma(_u13384, _u13381), _u13386), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13384), _u13383)))) )).
% 13.06/13.33 cnf(matrix-6078, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13387, _u13388), tc_HOL_Obool)), _u13389), hAPP(hAPP(c_Product__Type_OSigma(_u13387, _u13388), _u13390), hAPP(c_COMBK(tc_fun(_u13388, tc_HOL_Obool), _u13387), _u13391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13388, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13387, _u13388, _u13389), _u13392)), _u13391)) )).
% 13.06/13.33 cnf(matrix-6079, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13393, _u13394)), hAPP(hAPP(c_Product__Type_OSigma(_u13393, _u13394), _u13395), hAPP(c_COMBK(tc_fun(_u13394, tc_HOL_Obool), _u13393), _u13396)))) | ( _u13396 = c_Orderings_Obot__class_Obot(tc_fun(_u13394, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13393), _u13395)) )).
% 13.06/13.33 cnf(matrix-6080, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13397, _u13398)), hAPP(hAPP(c_Product__Type_OSigma(_u13397, _u13398), _u13399), hAPP(c_COMBK(tc_fun(_u13398, tc_HOL_Obool), _u13397), _u13400)))) | ( _u13399 = c_Orderings_Obot__class_Obot(tc_fun(_u13397, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13398), _u13400)) )).
% 13.06/13.33 cnf(matrix-6081, plain, ( ( _u13405 != c_Orderings_Obot__class_Obot(tc_fun(_u13407, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13409, _u13407), _u13409, c_Product__Type_Ofst(_u13409, _u13407)), hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13407), _u13411), hAPP(c_COMBK(tc_fun(_u13407, tc_HOL_Obool), _u13409), _u13405))) = c_Orderings_Obot__class_Obot(tc_fun(_u13409, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6082, plain, ( ( _u13406 = c_Orderings_Obot__class_Obot(tc_fun(_u13408, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13410, _u13408), _u13410, c_Product__Type_Ofst(_u13410, _u13408)), hAPP(hAPP(c_Product__Type_OSigma(_u13410, _u13408), _u13412), hAPP(c_COMBK(tc_fun(_u13408, tc_HOL_Obool), _u13410), _u13406))) = _u13412) )).
% 13.06/13.33 cnf(matrix-6083, plain, ( ( _u13417 != c_Orderings_Obot__class_Obot(tc_fun(_u13419, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13419, _u13421), _u13421, c_Product__Type_Osnd(_u13419, _u13421)), hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13421), _u13417), hAPP(c_COMBK(tc_fun(_u13421, tc_HOL_Obool), _u13419), _u13423))) = c_Orderings_Obot__class_Obot(tc_fun(_u13421, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6084, plain, ( ( _u13418 = c_Orderings_Obot__class_Obot(tc_fun(_u13420, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13420, _u13422), _u13422, c_Product__Type_Osnd(_u13420, _u13422)), hAPP(hAPP(c_Product__Type_OSigma(_u13420, _u13422), _u13418), hAPP(c_COMBK(tc_fun(_u13422, tc_HOL_Obool), _u13420), _u13424))) = _u13424) )).
% 13.06/13.33 cnf(matrix-6085, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u13425, _u13426), _u13427) = c_HOL_OThe(_u13425, c_Finite__Set_Ofold1Set(_u13425, _u13426, _u13427))) )).
% 13.06/13.33 cnf(matrix-6086, plain, ( ~class_Lattices_Olattice(_u13428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13428), _u13429)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u13428, _u13429) = hAPP(c_Finite__Set_Ofold1(_u13428, c_Lattices_Osemilattice__sup__class_Osup(_u13428)), _u13429)) )).
% 13.06/13.33 cnf(matrix-6087, plain, ( ~class_Lattices_Olattice(_u13430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13430), _u13431)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u13430, _u13431) = hAPP(c_Finite__Set_Ofold1(_u13430, c_Lattices_Osemilattice__inf__class_Oinf(_u13430)), _u13431)) )).
% 13.06/13.33 cnf(matrix-6088, plain, ( ~class_Orderings_Olinorder(_u13432) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13432), _u13433)) | ( c_Big__Operators_Olinorder__class_OMin(_u13432, _u13433) = hAPP(c_Finite__Set_Ofold1(_u13432, c_Orderings_Oord__class_Omin(_u13432)), _u13433)) )).
% 13.06/13.33 cnf(matrix-6089, plain, ( ~class_Orderings_Olinorder(_u13434) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13434), _u13435)) | ( c_Big__Operators_Olinorder__class_OMax(_u13434, _u13435) = hAPP(c_Finite__Set_Ofold1(_u13434, c_Orderings_Oord__class_Omax(_u13434)), _u13435)) )).
% 13.06/13.33 cnf(matrix-6090, plain, ( ~class_Orderings_Olinorder(_u13436) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13436), _u13437)) | ( c_Big__Operators_Olattice_OInf__fin(_u13436, c_Orderings_Oord__class_Omin(_u13436), _u13437) = hAPP(c_Finite__Set_Ofold1(_u13436, c_Orderings_Oord__class_Omin(_u13436)), _u13437)) )).
% 13.06/13.33 cnf(matrix-6091, plain, ( ~class_Orderings_Olinorder(_u13438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13438), _u13439)) | ( c_Big__Operators_Olattice_OSup__fin(_u13438, c_Orderings_Oord__class_Omax(_u13438), _u13439) = hAPP(c_Finite__Set_Ofold1(_u13438, c_Orderings_Oord__class_Omax(_u13438)), _u13439)) )).
% 13.06/13.33 cnf(matrix-6092, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13440, _u13441), hAPP(hAPP(c_Set_Oinsert(_u13440), _u13442), _u13443)), hAPP(c_COMBK(tc_fun(_u13441, tc_HOL_Obool), _u13440), hAPP(hAPP(c_Set_Oinsert(_u13441), _u13444), _u13445))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13440, _u13441)), hAPP(hAPP(c_Product__Type_OPair(_u13440, _u13441), _u13442), _u13444)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13440, _u13441), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13440, _u13441), _u13443), hAPP(c_COMBK(tc_fun(_u13441, tc_HOL_Obool), _u13440), hAPP(hAPP(c_Set_Oinsert(_u13441), _u13444), _u13445)))), hAPP(hAPP(c_Product__Type_OSigma(_u13440, _u13441), hAPP(hAPP(c_Set_Oinsert(_u13440), _u13442), _u13443)), hAPP(c_COMBK(tc_fun(_u13441, tc_HOL_Obool), _u13440), _u13445))))) )).
% 13.06/13.33 cnf(matrix-6093, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13446), _u13447)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13446, _u13446), tc_HOL_Obool)), _u13448), hAPP(hAPP(c_Product__Type_OSigma(_u13446, _u13446), _u13447), hAPP(c_COMBK(tc_fun(_u13446, tc_HOL_Obool), _u13446), _u13447)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13446, tc_HOL_Obool)), _u13449), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13446), _u13447), _u13448))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13446), _u13449)) )).
% 13.06/13.33 cnf(matrix-6094, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13450, _u13451), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13450, _u13451), _u13454), hAPP(c_COMBK(tc_fun(_u13451, tc_HOL_Obool), _u13450), _u13455))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13450, _u13451, tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13450, tc_fun(_u13451, tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool))), tc_fun(_u13451, tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), tc_fun(tc_fun(_u13451, tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool))), tc_fun(_u13451, tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool))), _u13450), c_COMBB(tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool), _u13451)), hAPP(hAPP(c_COMBB(tc_fun(_u13452, tc_HOL_Obool), tc_fun(tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), tc_fun(tc_prod(_u13452, _u13453), tc_HOL_Obool)), _u13450), c_Product__Type_OSigma(_u13452, _u13453)), _u13456))), hAPP(hAPP(c_COMBB(tc_fun(_u13453, tc_HOL_Obool), tc_fun(_u13452, tc_fun(_u13453, tc_HOL_Obool)), _u13451), c_COMBK(tc_fun(_u13453, tc_HOL_Obool), _u13452)), _u13457)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13452, _u13453), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13450, tc_fun(_u13452, tc_HOL_Obool)), _u13454), _u13456)), hAPP(c_COMBK(tc_fun(_u13453, tc_HOL_Obool), _u13452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13451, tc_fun(_u13453, tc_HOL_Obool)), _u13455), _u13457)))) )).
% 13.06/13.33 cnf(matrix-6095, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13458, _u13459), _u13460), _u13461) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13458, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), _u13460), hAPP(hAPP(c_COMBS(_u13458, tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13459, tc_HOL_Obool), tc_fun(tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), _u13458), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), _u13461)), hAPP(hAPP(c_COMBC(_u13458, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13459, tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), _u13458), c_COMBC(_u13459, tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13459, tc_prod(_u13458, _u13459)), tc_fun(_u13459, tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool))), _u13458), hAPP(c_COMBB(tc_prod(_u13458, _u13459), tc_fun(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool), tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)), _u13459), c_Set_Oinsert(tc_prod(_u13458, _u13459)))), c_Product__Type_OPair(_u13458, _u13459)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13458, _u13459), tc_HOL_Obool)))))) )).
% 13.06/13.33 cnf(matrix-6096, plain, ( ~class_Lattices_Osemilattice__inf(_u13462) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13462), _u13463)) | ~hBOOL(hAPP(hAPP(c_member(_u13462), _u13464), _u13463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13462), hAPP(c_Finite__Set_Ofold1(_u13462, c_Lattices_Osemilattice__inf__class_Oinf(_u13462)), _u13463)), _u13464)) )).
% 13.06/13.33 cnf(matrix-6097, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13465), _u13466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13465, _u13465), tc_HOL_Obool)), _u13467), hAPP(hAPP(c_Product__Type_OSigma(_u13465, _u13465), _u13466), hAPP(c_COMBK(tc_fun(_u13465, tc_HOL_Obool), _u13465), _u13466)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13465, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13465), _u13466), _u13467))) )).
% 13.06/13.33 cnf(matrix-6098, plain, ( ~class_Lattices_Osemilattice__inf(_u13470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13470), _u13471)) | ( _u13471 = c_Orderings_Obot__class_Obot(tc_fun(_u13470, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), hAPP(c_Finite__Set_Ofold1(_u13470, c_Lattices_Osemilattice__inf__class_Oinf(_u13470)), _u13471))) | ~hBOOL(hAPP(hAPP(c_member(_u13470), _u13468), _u13471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), _u13468)) )).
% 13.06/13.33 cnf(matrix-6099, plain, ( ~class_Lattices_Osemilattice__inf(_u13470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13470), _u13471)) | ( _u13471 = c_Orderings_Obot__class_Obot(tc_fun(_u13470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), hAPP(c_Finite__Set_Ofold1(_u13470, c_Lattices_Osemilattice__inf__class_Oinf(_u13470)), _u13471))) | hBOOL(hAPP(hAPP(c_member(_u13470), skolem290(_u13472, _u13471, _u13470)), _u13471)) )).
% 13.06/13.33 cnf(matrix-6100, plain, ( ~class_Lattices_Osemilattice__inf(_u13470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13470), _u13471)) | ( _u13471 = c_Orderings_Obot__class_Obot(tc_fun(_u13470, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), hAPP(c_Finite__Set_Ofold1(_u13470, c_Lattices_Osemilattice__inf__class_Oinf(_u13470)), _u13471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13470), _u13472), skolem290(_u13472, _u13471, _u13470))) )).
% 13.06/13.33 cnf(matrix-6101, plain, ( ~class_Orderings_Olinorder(_u13473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13473), _u13474)) | ~hBOOL(hAPP(hAPP(c_member(_u13473), _u13475), _u13474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13473), hAPP(c_Finite__Set_Ofold1(_u13473, c_Orderings_Oord__class_Omin(_u13473)), _u13474)), _u13475)) )).
% 13.06/13.33 cnf(matrix-6102, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13476) | ( _u13477 = c_Orderings_Obot__class_Obot(tc_fun(_u13476, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13476), _u13477)) | ( hAPP(c_Finite__Set_Ofold1(_u13476, c_Groups_Otimes__class_Otimes(_u13476)), hAPP(hAPP(c_Set_Oinsert(_u13476), _u13478), _u13477)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13476), _u13478), hAPP(c_Finite__Set_Ofold1(_u13476, c_Groups_Otimes__class_Otimes(_u13476)), _u13477))) )).
% 13.06/13.33 cnf(matrix-6103, plain, ( ~class_Orderings_Olinorder(_u13481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13481), _u13482)) | ( _u13482 = c_Orderings_Obot__class_Obot(tc_fun(_u13481, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), hAPP(c_Finite__Set_Ofold1(_u13481, c_Orderings_Oord__class_Omin(_u13481)), _u13482)), _u13483)) | hBOOL(hAPP(hAPP(c_member(_u13481), skolem291(_u13483, _u13482, _u13481)), _u13482)) )).
% 13.06/13.33 cnf(matrix-6104, plain, ( ~class_Orderings_Olinorder(_u13481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13481), _u13482)) | ( _u13482 = c_Orderings_Obot__class_Obot(tc_fun(_u13481, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), hAPP(c_Finite__Set_Ofold1(_u13481, c_Orderings_Oord__class_Omin(_u13481)), _u13482)), _u13483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), skolem291(_u13483, _u13482, _u13481)), _u13483)) )).
% 13.06/13.33 cnf(matrix-6105, plain, ( ~class_Orderings_Olinorder(_u13481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13481), _u13482)) | ( _u13482 = c_Orderings_Obot__class_Obot(tc_fun(_u13481, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13481), _u13480), _u13482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), _u13480), _u13483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13481), hAPP(c_Finite__Set_Ofold1(_u13481, c_Orderings_Oord__class_Omin(_u13481)), _u13482)), _u13483)) )).
% 13.06/13.33 cnf(matrix-6106, plain, ( ~class_Orderings_Olinorder(_u13486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( _u13487 = c_Orderings_Obot__class_Obot(tc_fun(_u13486, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), hAPP(c_Finite__Set_Ofold1(_u13486, c_Orderings_Oord__class_Omin(_u13486)), _u13487))) | ~hBOOL(hAPP(hAPP(c_member(_u13486), _u13484), _u13487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), _u13484)) )).
% 13.06/13.33 cnf(matrix-6107, plain, ( ~class_Orderings_Olinorder(_u13486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( _u13487 = c_Orderings_Obot__class_Obot(tc_fun(_u13486, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), hAPP(c_Finite__Set_Ofold1(_u13486, c_Orderings_Oord__class_Omin(_u13486)), _u13487))) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem292(_u13488, _u13487, _u13486)), _u13487)) )).
% 13.06/13.33 cnf(matrix-6108, plain, ( ~class_Orderings_Olinorder(_u13486) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( _u13487 = c_Orderings_Obot__class_Obot(tc_fun(_u13486, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), hAPP(c_Finite__Set_Ofold1(_u13486, c_Orderings_Oord__class_Omin(_u13486)), _u13487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13486), _u13488), skolem292(_u13488, _u13487, _u13486))) )).
% 13.06/13.33 cnf(matrix-6109, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13489) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13489), _u13490)) | ( _u13490 = c_Orderings_Obot__class_Obot(tc_fun(_u13489, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13489), _u13491)) | ( _u13491 = c_Orderings_Obot__class_Obot(tc_fun(_u13489, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u13489, c_Groups_Otimes__class_Otimes(_u13489)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13489, tc_HOL_Obool)), _u13490), _u13491)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13489), hAPP(c_Finite__Set_Ofold1(_u13489, c_Groups_Otimes__class_Otimes(_u13489)), _u13490)), hAPP(c_Finite__Set_Ofold1(_u13489, c_Groups_Otimes__class_Otimes(_u13489)), _u13491))) )).
% 13.06/13.33 cnf(matrix-6110, plain, ( ~class_Orderings_Olinorder(_u13494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13494), _u13495)) | ( _u13495 = c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), hAPP(c_Finite__Set_Ofold1(_u13494, c_Orderings_Oord__class_Omin(_u13494)), _u13495)), _u13496)) | hBOOL(hAPP(hAPP(c_member(_u13494), skolem293(_u13496, _u13495, _u13494)), _u13495)) )).
% 13.06/13.33 cnf(matrix-6111, plain, ( ~class_Orderings_Olinorder(_u13494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13494), _u13495)) | ( _u13495 = c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), hAPP(c_Finite__Set_Ofold1(_u13494, c_Orderings_Oord__class_Omin(_u13494)), _u13495)), _u13496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), skolem293(_u13496, _u13495, _u13494)), _u13496)) )).
% 13.06/13.33 cnf(matrix-6112, plain, ( ~class_Orderings_Olinorder(_u13494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13494), _u13495)) | ( _u13495 = c_Orderings_Obot__class_Obot(tc_fun(_u13494, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13494), _u13493), _u13495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), _u13493), _u13496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13494), hAPP(c_Finite__Set_Ofold1(_u13494, c_Orderings_Oord__class_Omin(_u13494)), _u13495)), _u13496)) )).
% 13.06/13.33 cnf(matrix-6113, plain, ( ~class_Orderings_Olinorder(_u13499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13499), _u13500)) | ( _u13500 = c_Orderings_Obot__class_Obot(tc_fun(_u13499, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), hAPP(c_Finite__Set_Ofold1(_u13499, c_Orderings_Oord__class_Omin(_u13499)), _u13500))) | ~hBOOL(hAPP(hAPP(c_member(_u13499), _u13497), _u13500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), _u13497)) )).
% 13.06/13.33 cnf(matrix-6114, plain, ( ~class_Orderings_Olinorder(_u13499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13499), _u13500)) | ( _u13500 = c_Orderings_Obot__class_Obot(tc_fun(_u13499, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), hAPP(c_Finite__Set_Ofold1(_u13499, c_Orderings_Oord__class_Omin(_u13499)), _u13500))) | hBOOL(hAPP(hAPP(c_member(_u13499), skolem294(_u13501, _u13500, _u13499)), _u13500)) )).
% 13.06/13.33 cnf(matrix-6115, plain, ( ~class_Orderings_Olinorder(_u13499) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13499), _u13500)) | ( _u13500 = c_Orderings_Obot__class_Obot(tc_fun(_u13499, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), hAPP(c_Finite__Set_Ofold1(_u13499, c_Orderings_Oord__class_Omin(_u13499)), _u13500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13499), _u13501), skolem294(_u13501, _u13500, _u13499))) )).
% 13.06/13.33 cnf(matrix-6116, plain, ( ~class_Groups_Oab__semigroup__mult(_u13502) | ( _u13503 = c_Orderings_Obot__class_Obot(tc_fun(_u13502, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13502), _u13503)) | hBOOL(hAPP(hAPP(c_member(_u13502), _u13504), _u13503)) | ( hAPP(c_Finite__Set_Ofold1(_u13502, c_Groups_Otimes__class_Otimes(_u13502)), hAPP(hAPP(c_Set_Oinsert(_u13502), _u13504), _u13503)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13502), _u13504), hAPP(c_Finite__Set_Ofold1(_u13502, c_Groups_Otimes__class_Otimes(_u13502)), _u13503))) )).
% 13.06/13.33 cnf(matrix-6117, plain, ( ~class_Orderings_Olinorder(_u13505) | ( _u13506 = c_Orderings_Obot__class_Obot(tc_fun(_u13505, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13505, tc_HOL_Obool)), _u13506), _u13507)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13505), _u13507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13505), hAPP(c_Finite__Set_Ofold1(_u13505, c_Orderings_Oord__class_Omin(_u13505)), _u13507)), hAPP(c_Finite__Set_Ofold1(_u13505, c_Orderings_Oord__class_Omin(_u13505)), _u13506))) )).
% 13.06/13.33 cnf(matrix-6118, plain, ( ~c_Big__Operators_Osemilattice__big(_u13508, _u13509, _u13510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13508), _u13511)) | ( hAPP(_u13510, _u13511) = hAPP(c_Finite__Set_Ofold1(_u13508, _u13509), _u13511)) )).
% 13.06/13.33 cnf(matrix-6119, plain, ( c_Fun_Oinj__on(_u13513, tc_prod(_u13514, _u13513), skolem295(_u13516, _u13515, _u13514, _u13513), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13514, tc_fun(_u13513, tc_HOL_Obool)), _u13515), _u13516)) )).
% 13.06/13.33 cnf(matrix-6120, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13514, _u13513), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13513, tc_prod(_u13514, _u13513), skolem295(_u13516, _u13515, _u13514, _u13513)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13514, tc_fun(_u13513, tc_HOL_Obool)), _u13515), _u13516))), hAPP(hAPP(c_Product__Type_OSigma(_u13514, _u13513), _u13515), _u13516))) )).
% 13.06/13.33 cnf(matrix-6121, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13519), _u13520)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, _u13519, c_Groups_Otimes__class_Otimes(_u13518)), hAPP(hAPP(c_COMBS(_u13519, tc_fun(_u13521, tc_HOL_Obool), _u13518), hAPP(hAPP(c_COMBC(_u13519, _u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), hAPP(hAPP(c_COMBB(tc_fun(_u13521, _u13518), tc_fun(_u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), _u13519), c_Finite__Set_Ofold__image(_u13518, _u13521, c_Groups_Otimes__class_Otimes(_u13518))), _u13523)), c_Groups_Oone__class_Oone(_u13518))), _u13522)), c_Groups_Oone__class_Oone(_u13518)), _u13520) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, tc_prod(_u13519, _u13521), c_Groups_Otimes__class_Otimes(_u13518)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13519, _u13521, _u13518), _u13523)), c_Groups_Oone__class_Oone(_u13518)), hAPP(hAPP(c_Product__Type_OSigma(_u13519, _u13521), _u13520), _u13522))) | hBOOL(hAPP(hAPP(c_member(_u13519), skolem296(_u13523, _u13522, _u13521, _u13520, _u13519, _u13518)), _u13520)) )).
% 13.06/13.33 cnf(matrix-6122, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13519), _u13520)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, _u13519, c_Groups_Otimes__class_Otimes(_u13518)), hAPP(hAPP(c_COMBS(_u13519, tc_fun(_u13521, tc_HOL_Obool), _u13518), hAPP(hAPP(c_COMBC(_u13519, _u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), hAPP(hAPP(c_COMBB(tc_fun(_u13521, _u13518), tc_fun(_u13518, tc_fun(tc_fun(_u13521, tc_HOL_Obool), _u13518)), _u13519), c_Finite__Set_Ofold__image(_u13518, _u13521, c_Groups_Otimes__class_Otimes(_u13518))), _u13523)), c_Groups_Oone__class_Oone(_u13518))), _u13522)), c_Groups_Oone__class_Oone(_u13518)), _u13520) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13518, tc_prod(_u13519, _u13521), c_Groups_Otimes__class_Otimes(_u13518)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13519, _u13521, _u13518), _u13523)), c_Groups_Oone__class_Oone(_u13518)), hAPP(hAPP(c_Product__Type_OSigma(_u13519, _u13521), _u13520), _u13522))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13521), hAPP(_u13522, skolem296(_u13523, _u13522, _u13521, _u13520, _u13519, _u13518)))) )).
% 13.06/13.33 cnf(matrix-6123, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13526), _u13527)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13526, _u13525), hAPP(hAPP(c_COMBS(_u13526, tc_fun(_u13528, tc_HOL_Obool), _u13525), hAPP(hAPP(c_COMBB(tc_fun(_u13528, _u13525), tc_fun(tc_fun(_u13528, tc_HOL_Obool), _u13525), _u13526), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13528, _u13525)), _u13530)), _u13529)), _u13527) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13526, _u13528), _u13525), hAPP(c_Product__Type_Oprod_Oprod__case(_u13526, _u13528, _u13525), _u13530)), hAPP(hAPP(c_Product__Type_OSigma(_u13526, _u13528), _u13527), _u13529))) | hBOOL(hAPP(hAPP(c_member(_u13526), skolem297(_u13530, _u13529, _u13528, _u13527, _u13526, _u13525)), _u13527)) )).
% 13.06/13.33 cnf(matrix-6124, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13526), _u13527)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13526, _u13525), hAPP(hAPP(c_COMBS(_u13526, tc_fun(_u13528, tc_HOL_Obool), _u13525), hAPP(hAPP(c_COMBB(tc_fun(_u13528, _u13525), tc_fun(tc_fun(_u13528, tc_HOL_Obool), _u13525), _u13526), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13528, _u13525)), _u13530)), _u13529)), _u13527) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13526, _u13528), _u13525), hAPP(c_Product__Type_Oprod_Oprod__case(_u13526, _u13528, _u13525), _u13530)), hAPP(hAPP(c_Product__Type_OSigma(_u13526, _u13528), _u13527), _u13529))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13528), hAPP(_u13529, skolem297(_u13530, _u13529, _u13528, _u13527, _u13526, _u13525)))) )).
% 13.06/13.33 cnf(matrix-6125, plain, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13533), _u13534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), hAPP(hAPP(c_COMBS(_u13533, tc_fun(_u13535, tc_HOL_Obool), _u13532), hAPP(hAPP(c_COMBB(tc_fun(_u13535, _u13532), tc_fun(tc_fun(_u13535, tc_HOL_Obool), _u13532), _u13533), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13535, _u13532)), _u13537)), _u13536)), _u13534) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13533, _u13535), _u13532), hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13535, _u13532), _u13537)), hAPP(hAPP(c_Product__Type_OSigma(_u13533, _u13535), _u13534), _u13536))) | hBOOL(hAPP(hAPP(c_member(_u13533), skolem298(_u13537, _u13536, _u13535, _u13534, _u13533, _u13532)), _u13534)) )).
% 13.06/13.33 cnf(matrix-6126, plain, ( ~class_Groups_Ocomm__monoid__add(_u13532) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13533), _u13534)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13533, _u13532), hAPP(hAPP(c_COMBS(_u13533, tc_fun(_u13535, tc_HOL_Obool), _u13532), hAPP(hAPP(c_COMBB(tc_fun(_u13535, _u13532), tc_fun(tc_fun(_u13535, tc_HOL_Obool), _u13532), _u13533), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13535, _u13532)), _u13537)), _u13536)), _u13534) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13533, _u13535), _u13532), hAPP(c_Product__Type_Oprod_Oprod__case(_u13533, _u13535, _u13532), _u13537)), hAPP(hAPP(c_Product__Type_OSigma(_u13533, _u13535), _u13534), _u13536))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13535), hAPP(_u13536, skolem298(_u13537, _u13536, _u13535, _u13534, _u13533, _u13532)))) )).
% 13.06/13.33 cnf(matrix-6127, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13539), _u13540)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13539, _u13541)), hAPP(hAPP(c_Product__Type_OSigma(_u13539, _u13541), _u13540), _u13542)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13539, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13541, tc_HOL_Obool), tc_Nat_Onat, _u13539), c_Finite__Set_Ocard(_u13541)), _u13542)), _u13540)) | hBOOL(hAPP(hAPP(c_member(_u13539), skolem299(_u13542, _u13541, _u13540, _u13539)), _u13540)) )).
% 13.06/13.33 cnf(matrix-6128, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13539), _u13540)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13539, _u13541)), hAPP(hAPP(c_Product__Type_OSigma(_u13539, _u13541), _u13540), _u13542)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13539, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13541, tc_HOL_Obool), tc_Nat_Onat, _u13539), c_Finite__Set_Ocard(_u13541)), _u13542)), _u13540)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13541), hAPP(_u13542, skolem299(_u13542, _u13541, _u13540, _u13539)))) )).
% 13.06/13.33 cnf(matrix-6129, plain, ( ~class_Groups_Oab__semigroup__mult(_u13545) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13545), _u13546)) | ( _u13546 = c_Orderings_Obot__class_Obot(tc_fun(_u13545, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13545), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13545), skolem300(_u13546, _u13545)), skolem301(_u13546, _u13545))), hAPP(hAPP(c_Set_Oinsert(_u13545), skolem300(_u13546, _u13545)), hAPP(hAPP(c_Set_Oinsert(_u13545), skolem301(_u13546, _u13545)), c_Orderings_Obot__class_Obot(tc_fun(_u13545, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u13545), hAPP(c_Finite__Set_Ofold1(_u13545, c_Groups_Otimes__class_Otimes(_u13545)), _u13546)), _u13546)) )).
% 13.06/13.33 cnf(matrix-6130, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13548), _u13549)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13548, _u13550)), hAPP(hAPP(c_Product__Type_OSigma(_u13548, _u13550), _u13549), _u13551))) | hBOOL(hAPP(hAPP(c_member(_u13548), skolem302(_u13551, _u13550, _u13549, _u13548)), _u13549)) )).
% 13.06/13.33 cnf(matrix-6131, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13548), _u13549)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13548, _u13550)), hAPP(hAPP(c_Product__Type_OSigma(_u13548, _u13550), _u13549), _u13551))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13550), hAPP(_u13551, skolem302(_u13551, _u13550, _u13549, _u13548)))) )).
% 13.06/13.33 cnf(matrix-6132, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13554) | ( hAPP(_u13555, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13554), skolem303(_u13556, _u13555, _u13554)), skolem304(_u13556, _u13555, _u13554))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13554), hAPP(_u13555, skolem303(_u13556, _u13555, _u13554))), hAPP(_u13555, skolem304(_u13556, _u13555, _u13554)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13554), _u13556)) | ( _u13556 = c_Orderings_Obot__class_Obot(tc_fun(_u13554, tc_HOL_Obool))) | ( hAPP(_u13555, hAPP(c_Finite__Set_Ofold1(_u13554, c_Groups_Otimes__class_Otimes(_u13554)), _u13556)) = hAPP(c_Finite__Set_Ofold1(_u13554, c_Groups_Otimes__class_Otimes(_u13554)), hAPP(c_Set_Oimage(_u13554, _u13554, _u13555), _u13556))) )).
% 13.06/13.33 cnf(matrix-6133, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13559, _u13560)), _u13561), hAPP(hAPP(c_Product__Type_OSigma(_u13559, _u13560), _u13562), _u13563))) | hBOOL(hAPP(hAPP(c_member(_u13559), skolem305(_u13563, _u13562, _u13561, _u13560, _u13559)), _u13562)) )).
% 13.06/13.33 cnf(matrix-6134, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13559, _u13560)), _u13561), hAPP(hAPP(c_Product__Type_OSigma(_u13559, _u13560), _u13562), _u13563))) | hBOOL(hAPP(hAPP(c_member(_u13560), skolem306(_u13563, _u13562, _u13561, _u13560, _u13559)), hAPP(_u13563, skolem305(_u13563, _u13562, _u13561, _u13560, _u13559)))) )).
% 13.06/13.33 cnf(matrix-6135, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13559, _u13560)), _u13561), hAPP(hAPP(c_Product__Type_OSigma(_u13559, _u13560), _u13562), _u13563))) | ( _u13561 = hAPP(hAPP(c_Product__Type_OPair(_u13559, _u13560), skolem305(_u13563, _u13562, _u13561, _u13560, _u13559)), skolem306(_u13563, _u13562, _u13561, _u13560, _u13559))) )).
% 13.06/13.33 cnf(matrix-6136, plain, ( ( hAPP(c_Set_Oimage(_u13564, _u13565, _u13566), c_Orderings_Otop__class_Otop(tc_fun(_u13564, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13565, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13567, _u13568, _u13569), c_Orderings_Otop__class_Otop(tc_fun(_u13567, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13568, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13564, _u13567), tc_prod(_u13565, _u13568), c_Product__Type_Omap__pair(_u13564, _u13565, _u13567, _u13568, _u13566, _u13569)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13564, _u13567), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13565, _u13568), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6137, plain, ( ~c_Fun_Oinj__on(_u13570, _u13571, _u13572, _u13573) | ~c_Fun_Oinj__on(_u13574, _u13575, _u13576, _u13577) | c_Fun_Oinj__on(tc_prod(_u13570, _u13574), tc_prod(_u13571, _u13575), c_Product__Type_Omap__pair(_u13570, _u13571, _u13574, _u13575, _u13572, _u13576), hAPP(hAPP(c_Product__Type_OSigma(_u13570, _u13574), _u13573), hAPP(c_COMBK(tc_fun(_u13574, tc_HOL_Obool), _u13570), _u13577))) )).
% 13.06/13.33 cnf(matrix-6138, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13578, _u13579)), hAPP(hAPP(c_Product__Type_OPair(_u13578, _u13579), _u13580), _u13581)), _u13582)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13583, _u13584)), hAPP(hAPP(c_Product__Type_OPair(_u13583, _u13584), hAPP(_u13585, _u13580)), hAPP(_u13586, _u13581))), hAPP(c_Set_Oimage(tc_prod(_u13578, _u13579), tc_prod(_u13583, _u13584), c_Product__Type_Omap__pair(_u13578, _u13583, _u13579, _u13584, _u13585, _u13586)), _u13582))) )).
% 13.06/13.33 cnf(matrix-6139, plain, ( ( hAPP(c_Product__Type_Osnd(_u13587, _u13588), hAPP(c_Product__Type_Omap__pair(_u13589, _u13587, _u13590, _u13588, _u13591, _u13592), _u13593)) = hAPP(_u13592, hAPP(c_Product__Type_Osnd(_u13589, _u13590), _u13593))) )).
% 13.06/13.33 cnf(matrix-6140, plain, ( ( hAPP(c_Product__Type_Ofst(_u13594, _u13595), hAPP(c_Product__Type_Omap__pair(_u13596, _u13594, _u13597, _u13595, _u13598, _u13599), _u13600)) = hAPP(_u13598, hAPP(c_Product__Type_Ofst(_u13596, _u13597), _u13600))) )).
% 13.06/13.33 cnf(matrix-6141, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13601, _u13602, _u13603, _u13604, _u13605, _u13606), hAPP(hAPP(c_Product__Type_OPair(_u13601, _u13603), _u13607), _u13608)) = hAPP(hAPP(c_Product__Type_OPair(_u13602, _u13604), hAPP(_u13605, _u13607)), hAPP(_u13606, _u13608))) )).
% 13.06/13.33 cnf(matrix-6142, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13609, _u13609, _u13610, _u13610, c_COMBI(_u13609), c_COMBI(_u13610)), _u13611) = _u13611) )).
% 13.06/13.33 cnf(matrix-6143, plain, ( ( c_Product__Type_Omap__pair(_u13612, _u13613, _u13614, _u13615, _u13616, _u13617) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13612, _u13614, tc_prod(_u13613, _u13615)), hAPP(hAPP(c_COMBC(_u13612, tc_fun(_u13614, _u13615), tc_fun(_u13614, tc_prod(_u13613, _u13615))), hAPP(hAPP(c_COMBB(tc_fun(_u13615, tc_prod(_u13613, _u13615)), tc_fun(tc_fun(_u13614, _u13615), tc_fun(_u13614, tc_prod(_u13613, _u13615))), _u13612), c_COMBB(_u13615, tc_prod(_u13613, _u13615), _u13614)), hAPP(hAPP(c_COMBB(_u13613, tc_fun(_u13615, tc_prod(_u13613, _u13615)), _u13612), c_Product__Type_OPair(_u13613, _u13615)), _u13616))), _u13617))) )).
% 13.06/13.33 cnf(matrix-6144, plain, ( ( hAPP(c_Set_Oimage(_u13618, _u13619, _u13620), _u13621) != _u13622) | ( hAPP(c_Set_Oimage(_u13623, _u13624, _u13625), _u13626) != _u13627) | ( hAPP(c_Set_Oimage(tc_prod(_u13618, _u13623), tc_prod(_u13619, _u13624), c_Product__Type_Omap__pair(_u13618, _u13619, _u13623, _u13624, _u13620, _u13625)), hAPP(hAPP(c_Product__Type_OSigma(_u13618, _u13623), _u13621), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13618), _u13626))) = hAPP(hAPP(c_Product__Type_OSigma(_u13619, _u13624), _u13622), hAPP(c_COMBK(tc_fun(_u13624, tc_HOL_Obool), _u13619), _u13627))) )).
% 13.06/13.33 cnf(matrix-6145, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13630, _u13631)), _u13632), hAPP(c_Set_Oimage(tc_prod(_u13633, _u13634), tc_prod(_u13630, _u13631), c_Product__Type_Omap__pair(_u13633, _u13630, _u13634, _u13631, _u13635, _u13636)), _u13637))) | ( _u13632 = hAPP(hAPP(c_Product__Type_OPair(_u13630, _u13631), hAPP(_u13635, skolem307(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630))), hAPP(_u13636, skolem308(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630)))) )).
% 13.06/13.33 cnf(matrix-6146, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13630, _u13631)), _u13632), hAPP(c_Set_Oimage(tc_prod(_u13633, _u13634), tc_prod(_u13630, _u13631), c_Product__Type_Omap__pair(_u13633, _u13630, _u13634, _u13631, _u13635, _u13636)), _u13637))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13633, _u13634)), hAPP(hAPP(c_Product__Type_OPair(_u13633, _u13634), skolem307(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630)), skolem308(_u13637, _u13636, _u13635, _u13634, _u13633, _u13632, _u13631, _u13630))), _u13637)) )).
% 13.06/13.33 cnf(matrix-6147, plain, ( ~c_Relation_Orefl__on(_u13643, _u13645, _u13647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13643, _u13643), tc_HOL_Obool)), _u13647), hAPP(hAPP(c_Product__Type_OSigma(_u13643, _u13643), _u13645), hAPP(c_COMBK(tc_fun(_u13643, tc_HOL_Obool), _u13643), _u13645)))) )).
% 13.06/13.33 cnf(matrix-6148, plain, ( ~c_Relation_Orefl__on(_u13643, _u13645, _u13647) | ~hBOOL(hAPP(hAPP(c_member(_u13643), _u13638), _u13645)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13643, _u13643)), hAPP(hAPP(c_Product__Type_OPair(_u13643, _u13643), _u13638), _u13638)), _u13647)) )).
% 13.06/13.33 cnf(matrix-6149, plain, ( c_Relation_Orefl__on(_u13644, _u13646, _u13648) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13644, _u13644), tc_HOL_Obool)), _u13648), hAPP(hAPP(c_Product__Type_OSigma(_u13644, _u13644), _u13646), hAPP(c_COMBK(tc_fun(_u13644, tc_HOL_Obool), _u13644), _u13646)))) | hBOOL(hAPP(hAPP(c_member(_u13644), skolem309(_u13648, _u13646, _u13644)), _u13646)) )).
% 13.06/13.33 cnf(matrix-6150, plain, ( c_Relation_Orefl__on(_u13644, _u13646, _u13648) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13644, _u13644), tc_HOL_Obool)), _u13648), hAPP(hAPP(c_Product__Type_OSigma(_u13644, _u13644), _u13646), hAPP(c_COMBK(tc_fun(_u13644, tc_HOL_Obool), _u13644), _u13646)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13644, _u13644)), hAPP(hAPP(c_Product__Type_OPair(_u13644, _u13644), skolem309(_u13648, _u13646, _u13644)), skolem309(_u13648, _u13646, _u13644))), _u13648)) )).
% 13.06/13.33 cnf(matrix-6151, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13650), _u13651)) | 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(_u13650, tc_Nat_Onat), _u13652), _u13651))) | hBOOL(hAPP(hAPP(c_member(_u13650), skolem310(_u13652, _u13651, _u13650)), _u13651)) )).
% 13.06/13.33 cnf(matrix-6152, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13650), _u13651)) | 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(_u13650, tc_Nat_Onat), _u13652), _u13651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u13652, skolem310(_u13652, _u13651, _u13650)))) )).
% 13.06/13.33 cnf(matrix-6153, plain, ( c_Relation_Orefl__on(_u13653, _u13654, c_Relation_OId__on(_u13653, _u13654)) )).
% 13.06/13.33 cnf(matrix-6154, plain, ( c_Relation_Orefl__on(_u13655, c_Orderings_Obot__class_Obot(tc_fun(_u13655, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13655, _u13655), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6155, plain, ( ~c_Relation_Orefl__on(_u13656, _u13657, _u13658) | ~c_Relation_Orefl__on(_u13656, _u13659, _u13660) | c_Relation_Orefl__on(_u13656, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13656, tc_HOL_Obool)), _u13657), _u13659), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13656, _u13656), tc_HOL_Obool)), _u13658), _u13660)) )).
% 13.06/13.33 cnf(matrix-6156, plain, ( ~c_Relation_Orefl__on(_u13661, _u13662, _u13663) | ~c_Relation_Orefl__on(_u13661, _u13664, _u13665) | c_Relation_Orefl__on(_u13661, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13661, tc_HOL_Obool)), _u13662), _u13664), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13661, _u13661), tc_HOL_Obool)), _u13663), _u13665)) )).
% 13.06/13.33 cnf(matrix-6157, plain, ( ~c_Relation_Orefl__on(_u13666, _u13667, _u13668) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13666, _u13666)), hAPP(hAPP(c_Product__Type_OPair(_u13666, _u13666), _u13669), _u13670)), _u13668)) | hBOOL(hAPP(hAPP(c_member(_u13666), _u13670), _u13667)) )).
% 13.06/13.33 cnf(matrix-6158, plain, ( ~c_Relation_Orefl__on(_u13671, _u13672, _u13673) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13671, _u13671)), hAPP(hAPP(c_Product__Type_OPair(_u13671, _u13671), _u13674), _u13675)), _u13673)) | hBOOL(hAPP(hAPP(c_member(_u13671), _u13674), _u13672)) )).
% 13.06/13.33 cnf(matrix-6159, plain, ( ~c_Relation_Orefl__on(_u13676, _u13677, _u13678) | ~hBOOL(hAPP(hAPP(c_member(_u13676), _u13679), _u13677)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13676, _u13676)), hAPP(hAPP(c_Product__Type_OPair(_u13676, _u13676), _u13679), _u13679)), _u13678)) )).
% 13.06/13.33 cnf(matrix-6160, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13681, _u13681), tc_HOL_Obool)), _u13682), hAPP(hAPP(c_Product__Type_OSigma(_u13681, _u13681), _u13683), hAPP(c_COMBK(tc_fun(_u13681, tc_HOL_Obool), _u13681), _u13683)))) | c_Relation_Orefl__on(_u13681, _u13683, _u13682) | hBOOL(hAPP(hAPP(c_member(_u13681), skolem311(_u13683, _u13682, _u13681)), _u13683)) )).
% 13.06/13.33 cnf(matrix-6161, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13681, _u13681), tc_HOL_Obool)), _u13682), hAPP(hAPP(c_Product__Type_OSigma(_u13681, _u13681), _u13683), hAPP(c_COMBK(tc_fun(_u13681, tc_HOL_Obool), _u13681), _u13683)))) | c_Relation_Orefl__on(_u13681, _u13683, _u13682) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13681, _u13681)), hAPP(hAPP(c_Product__Type_OPair(_u13681, _u13681), skolem311(_u13683, _u13682, _u13681)), skolem311(_u13683, _u13682, _u13681))), _u13682)) )).
% 13.06/13.33 cnf(matrix-6162, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u13686, _u13687, _u13688) | ( hAPP(_u13689, hAPP(hAPP(_u13687, skolem312(_u13690, _u13689, _u13688, _u13687, _u13686)), skolem313(_u13690, _u13689, _u13688, _u13687, _u13686))) != hAPP(hAPP(_u13687, hAPP(_u13689, skolem312(_u13690, _u13689, _u13688, _u13687, _u13686))), hAPP(_u13689, skolem313(_u13690, _u13689, _u13688, _u13687, _u13686)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13686), _u13690)) | ( _u13690 = c_Orderings_Obot__class_Obot(tc_fun(_u13686, tc_HOL_Obool))) | ( hAPP(_u13689, hAPP(_u13688, _u13690)) = hAPP(_u13688, hAPP(c_Set_Oimage(_u13686, _u13686, _u13689), _u13690))) )).
% 13.06/13.33 cnf(matrix-6163, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13692), c_Int_OInteg)) | ~hBOOL(hAPP(_u13693, hAPP(c_Int_ORep__Integ, skolem314(_u13693, _u13692)))) | hBOOL(hAPP(_u13693, _u13692)) )).
% 13.06/13.33 cnf(matrix-6164, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13695), c_Int_OInteg)) | ( _u13695 = hAPP(c_Int_ORep__Integ, skolem315(_u13695))) )).
% 13.06/13.33 cnf(matrix-6165, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u13697, _u13698, _u13699, _u13700, _u13701, _u13702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13703)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13704)) | ( hAPP(_u13702, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13698, tc_HOL_Obool)), _u13703), _u13704)) = hAPP(hAPP(_u13699, hAPP(_u13702, _u13703)), hAPP(_u13702, _u13704))) | hBOOL(hAPP(hAPP(c_member(_u13698), skolem316(_u13704, _u13703, _u13702, _u13701, _u13700, _u13699, _u13698)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13698, tc_HOL_Obool)), _u13703), _u13704))) )).
% 13.06/13.33 cnf(matrix-6166, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u13697, _u13698, _u13699, _u13700, _u13701, _u13702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13703)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13698), _u13704)) | ( hAPP(_u13702, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13698, tc_HOL_Obool)), _u13703), _u13704)) = hAPP(hAPP(_u13699, hAPP(_u13702, _u13703)), hAPP(_u13702, _u13704))) | ( hAPP(_u13701, skolem316(_u13704, _u13703, _u13702, _u13701, _u13700, _u13699, _u13698)) != _u13700) )).
% 13.06/13.33 cnf(matrix-6167, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u13705, tc_fun(_u13705, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13705, tc_HOL_Obool), tc_fun(tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool)), _u13705), hAPP(c_COMBC(tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u13705, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u13705, tc_fun(_u13705, tc_HOL_Obool), tc_fun(_u13705, tc_HOL_Obool)), c_Set_Oinsert(_u13705)), c_Orderings_Obot__class_Obot(tc_fun(_u13705, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-6168, plain, ( ~class_Orderings_Olinorder(_u13706) | c_Finite__Set_Ofun__left__comm__idem(_u13706, _u13706, c_Orderings_Oord__class_Omax(_u13706)) )).
% 13.06/13.33 cnf(matrix-6169, plain, ( ~class_Lattices_Osemilattice__sup(_u13707) | c_Finite__Set_Ofun__left__comm__idem(_u13707, _u13707, c_Lattices_Osemilattice__sup__class_Osup(_u13707)) )).
% 13.06/13.33 cnf(matrix-6170, plain, ( ~class_Lattices_Osemilattice__inf(_u13708) | c_Finite__Set_Ofun__left__comm__idem(_u13708, _u13708, c_Lattices_Osemilattice__inf__class_Oinf(_u13708)) )).
% 13.06/13.33 cnf(matrix-6171, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u13709, _u13710, _u13711) | c_Finite__Set_Ofun__left__comm__idem(_u13712, _u13710, hAPP(hAPP(c_COMBB(_u13709, tc_fun(_u13710, _u13710), _u13712), _u13711), _u13713)) )).
% 13.06/13.33 cnf(matrix-6172, plain, ( ( hAPP(hAPP(_u13716, _u13717), hAPP(hAPP(_u13716, _u13717), _u13718)) = hAPP(hAPP(_u13716, _u13717), _u13718)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13714, _u13715, _u13716) )).
% 13.06/13.33 cnf(matrix-6173, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u13719) | c_Finite__Set_Ofun__left__comm__idem(_u13719, _u13719, c_Groups_Otimes__class_Otimes(_u13719)) )).
% 13.06/13.33 cnf(matrix-6174, plain, ( ~class_Orderings_Olinorder(_u13720) | c_Finite__Set_Ofun__left__comm__idem(_u13720, _u13720, c_Orderings_Oord__class_Omin(_u13720)) )).
% 13.06/13.33 cnf(matrix-6175, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u13721, tc_fun(_u13721, tc_HOL_Obool), c_Set_Oinsert(_u13721)) )).
% 13.06/13.33 cnf(matrix-6176, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13722)) | ( 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)), _u13722))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u13723)))) = 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)), _u13722))), 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, _u13723)))))) )).
% 13.06/13.33 cnf(matrix-6177, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13724)) | ( 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)), _u13724))), 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, _u13725))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-6178, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13726)) | ( 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)), _u13726))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u13727))))) = 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)), _u13726))), 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, _u13727)))))) )).
% 13.06/13.33 cnf(matrix-6179, plain, ( ~hBOOL(hAPP(_u13728, _u13729)) | hBOOL(hAPP(hAPP(c_member(_u13730), _u13729), hAPP(c_Set_OCollect(_u13730), _u13728))) )).
% 13.06/13.33 cnf(matrix-6180, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), hAPP(hAPP(c_COMBS(_u13731, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13731), c_fconj), _u13732)), _u13733)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), _u13732))) )).
% 13.06/13.33 cnf(matrix-6181, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), hAPP(hAPP(c_COMBS(_u13731, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13731), c_fconj), _u13732)), _u13733)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13731), hAPP(c_Set_OCollect(_u13731), _u13733))) )).
% 13.06/13.33 cnf(matrix-6182, 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)), _u13734)))) )).
% 13.06/13.33 cnf(matrix-6183, 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)), _u13735)))) )).
% 13.06/13.33 cnf(matrix-6184, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13736, _u13737)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13736, _u13737, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13736, tc_fun(_u13737, tc_HOL_Obool), tc_fun(_u13737, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13737, tc_HOL_Obool), tc_fun(_u13737, tc_HOL_Obool)), _u13736), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13737)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13736), c_fconj), _u13738))), _u13739))) = hAPP(hAPP(c_Product__Type_OSigma(_u13736, _u13737), hAPP(c_Set_OCollect(_u13736), _u13738)), hAPP(c_COMBK(tc_fun(_u13737, tc_HOL_Obool), _u13736), hAPP(c_Set_OCollect(_u13737), _u13739)))) )).
% 13.06/13.33 cnf(matrix-6185, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13740, _u13741)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13740, _u13741, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13740, tc_fun(_u13741, tc_HOL_Obool), tc_fun(_u13741, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13741, tc_HOL_Obool), tc_fun(_u13741, tc_HOL_Obool)), _u13740), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13741)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13740), c_fconj), _u13742))), _u13743))) = hAPP(hAPP(c_Product__Type_OSigma(_u13740, _u13741), hAPP(c_Set_OCollect(_u13740), _u13742)), hAPP(hAPP(c_COMBB(tc_fun(_u13741, tc_HOL_Obool), tc_fun(_u13741, tc_HOL_Obool), _u13740), c_Set_OCollect(_u13741)), _u13743))) )).
% 13.06/13.33 cnf(matrix-6186, plain, ( ( hAPP(c_Set_OCollect(_u13744), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13744), c_fNot), _u13745)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13744, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13744), _u13745))) )).
% 13.06/13.33 cnf(matrix-6187, plain, ( ( hAPP(c_Set_Ovimage(_u13746, _u13747, _u13748), hAPP(c_Set_OCollect(_u13747), _u13749)) = hAPP(c_Set_OCollect(_u13746), hAPP(hAPP(c_COMBB(_u13747, tc_HOL_Obool, _u13746), _u13749), _u13748))) )).
% 13.06/13.33 cnf(matrix-6188, plain, ( ( hAPP(c_Set_OCollect(_u13750), hAPP(hAPP(c_COMBC(_u13750, tc_fun(_u13750, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13750)), _u13751)) = _u13751) )).
% 13.06/13.33 cnf(matrix-6189, plain, ( hBOOL(hAPP(_u13759, _u13757)) | ~hBOOL(hAPP(hAPP(c_member(_u13755), _u13757), hAPP(c_Set_OCollect(_u13755), _u13759))) )).
% 13.06/13.33 cnf(matrix-6190, plain, ( ~hBOOL(hAPP(_u13760, _u13758)) | hBOOL(hAPP(hAPP(c_member(_u13756), _u13758), hAPP(c_Set_OCollect(_u13756), _u13760))) )).
% 13.06/13.33 cnf(matrix-6191, plain, ( hBOOL(hAPP(_u13763, _u13762)) | ~hBOOL(hAPP(hAPP(c_member(_u13761), _u13762), hAPP(c_Set_OCollect(_u13761), _u13763))) )).
% 13.06/13.33 cnf(matrix-6192, plain, ( hBOOL(hAPP(_u13766, _u13765)) | ~hBOOL(hAPP(hAPP(c_member(_u13764), _u13765), hAPP(c_Set_OCollect(_u13764), _u13766))) )).
% 13.06/13.33 cnf(matrix-6193, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), hAPP(hAPP(c_COMBS(_u13770, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13770), c_fdisj), _u13772)), _u13774)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), _u13772))) )).
% 13.06/13.33 cnf(matrix-6194, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), hAPP(hAPP(c_COMBS(_u13770, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13770), c_fdisj), _u13772)), _u13774)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13770), hAPP(c_Set_OCollect(_u13770), _u13774))) )).
% 13.06/13.33 cnf(matrix-6195, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13771), hAPP(c_Set_OCollect(_u13771), _u13773))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13771), hAPP(c_Set_OCollect(_u13771), _u13775))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13771), hAPP(c_Set_OCollect(_u13771), hAPP(hAPP(c_COMBS(_u13771, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13771), c_fdisj), _u13773)), _u13775)))) )).
% 13.06/13.33 cnf(matrix-6196, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u13776, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u13776), hAPP(c_COMBK(tc_HOL_Obool, _u13776), c_fTrue))) )).
% 13.06/13.33 cnf(matrix-6197, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13777), _u13778), hAPP(c_Set_OCollect(_u13777), _u13779)) = hAPP(c_Set_OCollect(_u13777), hAPP(hAPP(c_COMBS(_u13777, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13777), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13777), c_fNot), hAPP(hAPP(c_COMBC(_u13777, _u13777, tc_HOL_Obool), c_fequal), _u13778)))), _u13779))) )).
% 13.06/13.33 cnf(matrix-6198, plain, ( ( hAPP(c_Set_OCollect(_u13780), hAPP(hAPP(c_COMBS(_u13780, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13780), c_fconj), _u13781)), _u13782)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13780, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13780), _u13781)), hAPP(c_Set_OCollect(_u13780), _u13782))) )).
% 13.06/13.33 cnf(matrix-6199, plain, ( ( hAPP(c_Set_OCollect(_u13783), hAPP(hAPP(c_COMBS(_u13783, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13783), c_fdisj), _u13784)), _u13785)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13783, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13783), _u13784)), hAPP(c_Set_OCollect(_u13783), _u13785))) )).
% 13.06/13.33 cnf(matrix-6200, plain, ( ( hAPP(c_Set_OCollect(_u13786), _u13787) = _u13787) )).
% 13.06/13.33 cnf(matrix-6201, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u13788, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u13788), hAPP(c_COMBK(tc_HOL_Obool, _u13788), c_fFalse))) )).
% 13.06/13.33 cnf(matrix-6202, plain, ( ~hBOOL(hAPP(_u13795, _u13789)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u13793, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u13793), _u13795)) )).
% 13.06/13.33 cnf(matrix-6203, plain, ( hBOOL(hAPP(_u13796, skolem317(_u13796))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u13794, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u13794), _u13796)) )).
% 13.06/13.33 cnf(matrix-6204, plain, ( ~hBOOL(hAPP(_u13803, _u13797)) | ( hAPP(c_Set_OCollect(_u13801), _u13803) != c_Orderings_Obot__class_Obot(tc_fun(_u13801, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6205, plain, ( hBOOL(hAPP(_u13804, skolem318(_u13804))) | ( hAPP(c_Set_OCollect(_u13802), _u13804) = c_Orderings_Obot__class_Obot(tc_fun(_u13802, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6206, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13805), _u13806), _u13807) = hAPP(c_Set_OCollect(_u13805), hAPP(hAPP(c_COMBS(_u13805, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13805), c_fdisj), hAPP(hAPP(c_COMBC(_u13805, _u13805, tc_HOL_Obool), c_fequal), _u13806))), hAPP(hAPP(c_COMBC(_u13805, tc_fun(_u13805, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13805)), _u13807)))) )).
% 13.06/13.33 cnf(matrix-6207, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13808), _u13809), _u13810) = hAPP(c_Set_OCollect(_u13808), hAPP(hAPP(c_COMBS(_u13808, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13808), c_fdisj), hAPP(hAPP(c_COMBC(_u13808, _u13808, tc_HOL_Obool), c_fequal), _u13809))), hAPP(hAPP(c_COMBC(_u13808, tc_fun(_u13808, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13808)), _u13810)))) )).
% 13.06/13.33 cnf(matrix-6208, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13811, tc_HOL_Obool)), _u13812), _u13813) = hAPP(c_Set_OCollect(_u13811), hAPP(hAPP(c_COMBS(_u13811, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13811), c_fdisj), hAPP(hAPP(c_COMBC(_u13811, tc_fun(_u13811, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13811)), _u13812))), hAPP(hAPP(c_COMBC(_u13811, tc_fun(_u13811, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13811)), _u13813)))) )).
% 13.06/13.33 cnf(matrix-6209, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13818), _u13820), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13818, tc_HOL_Obool)), _u13822), hAPP(c_Set_OCollect(_u13818), _u13824)))) | hBOOL(hAPP(hAPP(c_member(_u13818), _u13820), _u13822)) )).
% 13.06/13.33 cnf(matrix-6210, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13818), _u13820), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13818, tc_HOL_Obool)), _u13822), hAPP(c_Set_OCollect(_u13818), _u13824)))) | hBOOL(hAPP(_u13824, _u13820)) )).
% 13.06/13.33 cnf(matrix-6211, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13819), _u13821), _u13823)) | ~hBOOL(hAPP(_u13825, _u13821)) | hBOOL(hAPP(hAPP(c_member(_u13819), _u13821), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13819, tc_HOL_Obool)), _u13823), hAPP(c_Set_OCollect(_u13819), _u13825)))) )).
% 13.06/13.33 cnf(matrix-6212, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13826, tc_HOL_Obool)), _u13827), _u13828) = hAPP(c_Set_OCollect(_u13826), hAPP(hAPP(c_COMBS(_u13826, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13826), c_fconj), hAPP(hAPP(c_COMBC(_u13826, tc_fun(_u13826, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13826)), _u13827))), hAPP(hAPP(c_COMBC(_u13826, tc_fun(_u13826, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13826)), _u13828)))) )).
% 13.06/13.33 cnf(matrix-6213, plain, ( ~hBOOL(hAPP(_u13832, _u13834)) | ( hAPP(c_Set_OCollect(_u13836), hAPP(hAPP(c_COMBS(_u13836, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13836), c_fconj), hAPP(hAPP(c_COMBC(_u13836, _u13836, tc_HOL_Obool), c_fequal), _u13834))), _u13832)) = hAPP(hAPP(c_Set_Oinsert(_u13836), _u13834), c_Orderings_Obot__class_Obot(tc_fun(_u13836, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6214, plain, ( hBOOL(hAPP(_u13833, _u13835)) | ( hAPP(c_Set_OCollect(_u13837), hAPP(hAPP(c_COMBS(_u13837, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13837), c_fconj), hAPP(hAPP(c_COMBC(_u13837, _u13837, tc_HOL_Obool), c_fequal), _u13835))), _u13833)) = c_Orderings_Obot__class_Obot(tc_fun(_u13837, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6215, plain, ( ~hBOOL(hAPP(_u13841, _u13843)) | ( hAPP(c_Set_OCollect(_u13845), hAPP(hAPP(c_COMBS(_u13845, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13845), c_fconj), hAPP(c_fequal, _u13843))), _u13841)) = hAPP(hAPP(c_Set_Oinsert(_u13845), _u13843), c_Orderings_Obot__class_Obot(tc_fun(_u13845, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6216, plain, ( hBOOL(hAPP(_u13842, _u13844)) | ( hAPP(c_Set_OCollect(_u13846), hAPP(hAPP(c_COMBS(_u13846, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13846), c_fconj), hAPP(c_fequal, _u13844))), _u13842)) = c_Orderings_Obot__class_Obot(tc_fun(_u13846, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6217, plain, ( ( hAPP(c_Set_OCollect(_u13847), hAPP(hAPP(c_COMBC(_u13847, _u13847, tc_HOL_Obool), c_fequal), _u13848)) = hAPP(hAPP(c_Set_Oinsert(_u13847), _u13848), c_Orderings_Obot__class_Obot(tc_fun(_u13847, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6218, plain, ( ( hAPP(c_Set_OCollect(_u13849), hAPP(c_fequal, _u13850)) = hAPP(hAPP(c_Set_Oinsert(_u13849), _u13850), c_Orderings_Obot__class_Obot(tc_fun(_u13849, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6219, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13851, tc_HOL_Obool)), _u13852), _u13853) = hAPP(c_Set_OCollect(_u13851), hAPP(hAPP(c_COMBS(_u13851, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13851), c_fconj), hAPP(hAPP(c_COMBC(_u13851, tc_fun(_u13851, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13851)), _u13852))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13851), c_fNot), hAPP(hAPP(c_COMBC(_u13851, tc_fun(_u13851, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13851)), _u13853))))) )).
% 13.06/13.33 cnf(matrix-6220, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), _u13855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13854), c_fNot), _u13855)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), c_Orderings_Otop__class_Otop(tc_fun(_u13854, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6221, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), _u13855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), c_Orderings_Otop__class_Otop(tc_fun(_u13854, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), hAPP(c_Set_OCollect(_u13854), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13854), c_fNot), _u13855)))) )).
% 13.06/13.33 cnf(matrix-6222, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13856), _u13857), _u13858) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13856, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13856), hAPP(hAPP(c_COMBC(_u13856, _u13856, tc_HOL_Obool), c_fequal), _u13857))), _u13858)) )).
% 13.06/13.33 cnf(matrix-6223, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13859, tc_HOL_Obool)), _u13860) = hAPP(c_Set_OCollect(_u13859), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13859), c_fNot), hAPP(hAPP(c_COMBC(_u13859, tc_fun(_u13859, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13859)), _u13860)))) )).
% 13.06/13.33 cnf(matrix-6224, plain, ( ( hAPP(c_Set_Ovimage(_u13861, _u13862, _u13863), _u13864) = hAPP(c_Set_OCollect(_u13861), hAPP(hAPP(c_COMBC(_u13861, tc_fun(_u13862, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13862, tc_fun(tc_fun(_u13862, tc_HOL_Obool), tc_HOL_Obool), _u13861), c_member(_u13862)), _u13863)), _u13864))) )).
% 13.06/13.33 cnf(matrix-6225, plain, ( ( hAPP(c_Set_OCollect(_u13865), hAPP(hAPP(c_COMBS(_u13865, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13865), c_fimplies), _u13866)), _u13867)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13865, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13865, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13865), _u13866))), hAPP(c_Set_OCollect(_u13865), _u13867))) )).
% 13.06/13.33 cnf(matrix-6226, plain, ( ( c_Map_Odom(_u13868, _u13869, _u13870) = hAPP(c_Set_OCollect(_u13868), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13868), c_fNot), hAPP(hAPP(c_COMBC(_u13868, tc_Option_Ooption(_u13869), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u13869), tc_fun(tc_Option_Ooption(_u13869), tc_HOL_Obool), _u13868), c_fequal), _u13870)), c_Option_Ooption_ONone(_u13869))))) )).
% 13.06/13.33 cnf(matrix-6227, 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), _u13871)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u13872))))) )).
% 13.06/13.33 cnf(matrix-6228, plain, ( ~class_Groups_Ocomm__monoid__add(_u13873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13874), _u13875)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13876), _u13877)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13874, _u13873), hAPP(hAPP(c_COMBS(_u13874, tc_fun(_u13876, tc_HOL_Obool), _u13873), hAPP(hAPP(c_COMBB(tc_fun(_u13876, _u13873), tc_fun(tc_fun(_u13876, tc_HOL_Obool), _u13873), _u13874), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13873)), _u13878)), hAPP(hAPP(c_COMBB(tc_fun(_u13876, tc_HOL_Obool), tc_fun(_u13876, tc_HOL_Obool), _u13874), c_Set_OCollect(_u13876)), hAPP(hAPP(c_COMBB(tc_fun(_u13876, tc_HOL_Obool), tc_fun(_u13876, tc_HOL_Obool), _u13874), hAPP(c_COMBS(_u13876, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13876), c_fconj), hAPP(hAPP(c_COMBC(_u13876, tc_fun(_u13876, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13876)), _u13877)))), _u13879)))), _u13875) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13873), hAPP(hAPP(c_COMBS(_u13876, tc_fun(_u13874, tc_HOL_Obool), _u13873), hAPP(hAPP(c_COMBB(tc_fun(_u13874, _u13873), tc_fun(tc_fun(_u13874, tc_HOL_Obool), _u13873), _u13876), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13874, _u13873)), hAPP(c_COMBC(_u13874, _u13876, _u13873), _u13878))), hAPP(hAPP(c_COMBB(tc_fun(_u13874, tc_HOL_Obool), tc_fun(_u13874, tc_HOL_Obool), _u13876), c_Set_OCollect(_u13874)), hAPP(hAPP(c_COMBB(tc_fun(_u13874, tc_HOL_Obool), tc_fun(_u13874, tc_HOL_Obool), _u13876), hAPP(c_COMBS(_u13874, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13874), c_fconj), hAPP(hAPP(c_COMBC(_u13874, tc_fun(_u13874, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13874)), _u13875)))), hAPP(c_COMBC(_u13874, _u13876, tc_HOL_Obool), _u13879))))), _u13877)) )).
% 13.06/13.33 cnf(matrix-6229, plain, ( ( hAPP(c_Set_Oimage(_u13880, _u13881, hAPP(hAPP(c_COMBS(_u13880, _u13881, _u13881), hAPP(hAPP(c_COMBS(_u13880, _u13881, tc_fun(_u13881, _u13881)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13881, tc_fun(_u13881, _u13881)), _u13880), c_If(_u13881)), _u13882)), _u13883)), _u13884)), _u13885) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13881, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13880, _u13881, _u13883), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13880, tc_HOL_Obool)), _u13885), hAPP(c_Set_OCollect(_u13880), _u13882)))), hAPP(c_Set_Oimage(_u13880, _u13881, _u13884), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13880, tc_HOL_Obool)), _u13885), hAPP(c_Set_OCollect(_u13880), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13880), c_fNot), _u13882)))))) )).
% 13.06/13.33 cnf(matrix-6230, plain, ( ( c_Map_Odom(_u13886, _u13887, hAPP(hAPP(c_COMBS(_u13886, tc_Option_Ooption(_u13887), tc_Option_Ooption(_u13887)), hAPP(hAPP(c_COMBS(_u13886, tc_Option_Ooption(_u13887), tc_fun(tc_Option_Ooption(_u13887), tc_Option_Ooption(_u13887))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u13887), tc_fun(tc_Option_Ooption(_u13887), tc_Option_Ooption(_u13887))), _u13886), c_If(tc_Option_Ooption(_u13887))), _u13888)), _u13889)), _u13890)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13886, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13886, tc_HOL_Obool)), c_Map_Odom(_u13886, _u13887, _u13889)), hAPP(c_Set_OCollect(_u13886), _u13888))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13886, tc_HOL_Obool)), c_Map_Odom(_u13886, _u13887, _u13890)), hAPP(c_Set_OCollect(_u13886), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13886), c_fNot), _u13888))))) )).
% 13.06/13.33 cnf(matrix-6231, plain, ( ( _u13891 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u13892, _u13893), 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)), _u13894)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13891)) )).
% 13.06/13.33 cnf(matrix-6232, plain, ( ~class_Groups_Ocomm__monoid__add(_u13895) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13896), _u13897)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13896, _u13895), _u13898), hAPP(c_Set_OCollect(_u13896), hAPP(hAPP(c_COMBS(_u13896, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13896), c_fconj), hAPP(hAPP(c_COMBC(_u13896, tc_fun(_u13896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13896)), _u13897))), hAPP(hAPP(c_COMBC(_u13896, tc_fun(_u13896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13896)), _u13899)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13896, _u13895), hAPP(hAPP(c_COMBC(_u13896, _u13895, _u13895), hAPP(hAPP(c_COMBS(_u13896, _u13895, tc_fun(_u13895, _u13895)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13895, tc_fun(_u13895, _u13895)), _u13896), c_If(_u13895)), hAPP(hAPP(c_COMBC(_u13896, tc_fun(_u13896, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13896)), _u13899))), _u13898)), c_Groups_Ozero__class_Ozero(_u13895))), _u13897)) )).
% 13.06/13.33 cnf(matrix-6233, plain, ( ~class_Groups_Ocomm__monoid__add(_u13900) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13901), _u13902)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13901, _u13900), _u13903), _u13902) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13904, _u13900), hAPP(hAPP(c_COMBB(tc_fun(_u13901, tc_HOL_Obool), _u13900, _u13904), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13901, _u13900), _u13903)), hAPP(hAPP(c_COMBB(tc_fun(_u13901, tc_HOL_Obool), tc_fun(_u13901, tc_HOL_Obool), _u13904), c_Set_OCollect(_u13901)), hAPP(hAPP(c_COMBB(tc_fun(_u13901, tc_HOL_Obool), tc_fun(_u13901, tc_HOL_Obool), _u13904), hAPP(c_COMBS(_u13901, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13901), c_fconj), hAPP(hAPP(c_COMBC(_u13901, tc_fun(_u13901, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13901)), _u13902)))), hAPP(c_COMBC(_u13901, _u13904, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13904, tc_fun(_u13904, tc_HOL_Obool), _u13901), c_fequal), _u13905)))))), hAPP(c_Set_Oimage(_u13901, _u13904, _u13905), _u13902))) )).
% 13.06/13.33 cnf(matrix-6234, plain, ( ( hAPP(c_Relation_OImage(_u13906, _u13907, _u13908), hAPP(hAPP(c_Set_Oinsert(_u13906), _u13909), c_Orderings_Obot__class_Obot(tc_fun(_u13906, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u13907), hAPP(hAPP(c_COMBC(_u13907, tc_fun(tc_prod(_u13906, _u13907), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13906, _u13907), tc_fun(tc_fun(tc_prod(_u13906, _u13907), tc_HOL_Obool), tc_HOL_Obool), _u13907), c_member(tc_prod(_u13906, _u13907))), hAPP(c_Product__Type_OPair(_u13906, _u13907), _u13909))), _u13908))) )).
% 13.06/13.33 cnf(matrix-6235, plain, ( ~class_Groups_Ocomm__monoid__add(_u13910) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13911), _u13912)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13911, _u13910), hAPP(hAPP(c_COMBS(_u13911, _u13910, _u13910), hAPP(hAPP(c_COMBS(_u13911, _u13910, tc_fun(_u13910, _u13910)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u13910, tc_fun(_u13910, _u13910)), _u13911), c_If(_u13910)), _u13913)), _u13914)), _u13915)), _u13912) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13910), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13911, _u13910), _u13914), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13911, tc_HOL_Obool)), _u13912), hAPP(c_Set_OCollect(_u13911), _u13913)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13911, _u13910), _u13915), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13911, tc_HOL_Obool)), _u13912), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13911, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u13911), _u13913)))))) )).
% 13.06/13.33 cnf(matrix-6236, plain, ( ( c_Map_Odom(_u13916, _u13917, c_Fun_Ooverride__on(_u13916, tc_Option_Ooption(_u13917), _u13918, _u13919, _u13920)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13916, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13916, tc_HOL_Obool)), c_Map_Odom(_u13916, _u13917, _u13918)), hAPP(c_Set_OCollect(_u13916), hAPP(hAPP(c_COMBC(_u13916, tc_fun(_u13916, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13916)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13916, tc_HOL_Obool)), _u13920), c_Map_Odom(_u13916, _u13917, _u13919)))))), hAPP(c_Set_OCollect(_u13916), hAPP(hAPP(c_COMBC(_u13916, tc_fun(_u13916, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13916)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13916, tc_HOL_Obool)), _u13920), c_Map_Odom(_u13916, _u13917, _u13919)))))) )).
% 13.06/13.33 cnf(matrix-6237, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13922), _u13923)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13924), _u13925)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_Nat_Onat, _u13922), c_Finite__Set_Ocard(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), c_Set_OCollect(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), hAPP(c_COMBS(_u13924, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13924), c_fconj), hAPP(hAPP(c_COMBC(_u13924, tc_fun(_u13924, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13924)), _u13925)))), _u13926)))), _u13923) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u13927), hAPP(c_Finite__Set_Ocard(_u13924), _u13925))) | hBOOL(hAPP(hAPP(c_member(_u13924), skolem319(_u13927, _u13926, _u13925, _u13924, _u13923, _u13922)), _u13925)) )).
% 13.06/13.33 cnf(matrix-6238, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13922), _u13923)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13924), _u13925)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_Nat_Onat, _u13922), c_Finite__Set_Ocard(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), c_Set_OCollect(_u13924)), hAPP(hAPP(c_COMBB(tc_fun(_u13924, tc_HOL_Obool), tc_fun(_u13924, tc_HOL_Obool), _u13922), hAPP(c_COMBS(_u13924, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13924), c_fconj), hAPP(hAPP(c_COMBC(_u13924, tc_fun(_u13924, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13924)), _u13925)))), _u13926)))), _u13923) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u13927), hAPP(c_Finite__Set_Ocard(_u13924), _u13925))) | ( hAPP(c_Finite__Set_Ocard(_u13922), hAPP(c_Set_OCollect(_u13922), hAPP(hAPP(c_COMBS(_u13922, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13922), c_fconj), hAPP(hAPP(c_COMBC(_u13922, tc_fun(_u13922, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13922)), _u13923))), hAPP(hAPP(c_COMBC(_u13922, _u13924, tc_HOL_Obool), _u13926), skolem319(_u13927, _u13926, _u13925, _u13924, _u13923, _u13922))))) != _u13927) )).
% 13.06/13.33 cnf(matrix-6239, plain, ( ~class_Orderings_Olinorder(_u13928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13928), _u13929)) | ( _u13929 = c_Orderings_Obot__class_Obot(tc_fun(_u13928, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13928), _u13930)) | ( _u13930 = c_Orderings_Obot__class_Obot(tc_fun(_u13928, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u13928), c_Big__Operators_Olattice_OSup__fin(_u13928, c_Orderings_Oord__class_Omax(_u13928), _u13929)), c_Big__Operators_Olattice_OSup__fin(_u13928, c_Orderings_Oord__class_Omax(_u13928), _u13930)) = c_Big__Operators_Olattice_OSup__fin(_u13928, c_Orderings_Oord__class_Omax(_u13928), hAPP(c_Set_OCollect(_u13928), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool, _u13928), c_HOL_OEx(_u13928)), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_HOL_Obool), _u13928), hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool, _u13928), c_HOL_OEx(_u13928))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool))), tc_fun(tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), _u13928), c_COMBS(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13928, tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool))), _u13928), hAPP(c_COMBB(tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool)), _u13928), c_COMBS(_u13928, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool)), tc_fun(_u13928, tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13928), hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13928), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13928), c_fconj))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_fun(_u13928, _u13928)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13928, _u13928), tc_fun(_u13928, tc_HOL_Obool)), tc_fun(tc_fun(_u13928, tc_fun(_u13928, _u13928)), tc_fun(_u13928, tc_fun(_u13928, tc_HOL_Obool))), _u13928), c_COMBB(tc_fun(_u13928, _u13928), tc_fun(_u13928, tc_HOL_Obool), _u13928)), hAPP(hAPP(c_COMBB(tc_fun(_u13928, tc_HOL_Obool), tc_fun(tc_fun(_u13928, _u13928), tc_fun(_u13928, tc_HOL_Obool)), _u13928), c_COMBB(_u13928, tc_HOL_Obool, _u13928)), c_fequal))), c_Orderings_Oord__class_Omin(_u13928)))))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13928, tc_HOL_Obool), tc_fun(_u13928, tc_HOL_Obool)), _u13928), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13928)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13928), c_fconj), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13928)), _u13929)))), hAPP(hAPP(c_COMBC(_u13928, tc_fun(_u13928, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13928)), _u13930)))))))) )).
% 13.06/13.33 cnf(matrix-6240, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13931), _u13932)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13931, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u13931, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u13931, tc_HOL_Obool), tc_fun(_u13931, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u13931, tc_HOL_Obool))), _u13932)))) )).
% 13.06/13.33 cnf(matrix-6241, plain, ( ( hAPP(c_Set_OPow(_u13933), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13933, tc_HOL_Obool)), _u13934)) = hAPP(c_Set_OCollect(tc_fun(_u13933, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u13933, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u13933, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u13933, tc_HOL_Obool)), c_COMBS(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u13933, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u13933, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u13933, tc_HOL_Obool), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(_u13933, tc_HOL_Obool)), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_fun(_u13933, tc_HOL_Obool)), tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u13933, tc_HOL_Obool)), c_COMBB(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u13933, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u13933, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13933, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u13933, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u13933, tc_HOL_Obool)), _u13934)), c_Set_OPow(_u13933)))))) )).
% 13.06/13.33 cnf(matrix-6242, plain, ( ( hAPP(c_Set_OPow(_u13935), _u13936) = hAPP(c_Set_OCollect(tc_fun(_u13935, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u13935, tc_HOL_Obool), tc_fun(_u13935, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u13935, tc_HOL_Obool))), _u13936))) )).
% 13.06/13.33 cnf(matrix-6243, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13937), hAPP(c_Set_OCollect(_u13937), _u13938))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13939), hAPP(c_Set_OCollect(_u13939), hAPP(hAPP(c_COMBB(tc_fun(_u13937, tc_HOL_Obool), tc_HOL_Obool, _u13939), c_HOL_OEx(_u13937)), hAPP(hAPP(c_COMBC(_u13939, tc_fun(_u13937, tc_HOL_Obool), tc_fun(_u13937, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13937, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13937, tc_HOL_Obool), tc_fun(_u13937, tc_HOL_Obool)), _u13939), c_COMBS(_u13937, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13937, tc_HOL_Obool), tc_fun(_u13937, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13939), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13937), c_fconj)), hAPP(hAPP(c_COMBC(_u13939, tc_fun(_u13937, _u13939), tc_fun(_u13937, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13939, tc_HOL_Obool), tc_fun(tc_fun(_u13937, _u13939), tc_fun(_u13937, tc_HOL_Obool)), _u13939), c_COMBB(_u13939, tc_HOL_Obool, _u13937)), c_fequal)), _u13940)))), _u13938))))) )).
% 13.06/13.33 cnf(matrix-6244, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), hAPP(c_Set_OCollect(_u13943), _u13944))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_HOL_Obool, _u13945), c_HOL_OEx(_u13943)), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_fun(_u13943, tc_HOL_Obool), _u13945), hAPP(c_COMBS(_u13943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13943), c_fconj), _u13944))), _u13946))))) | ~hBOOL(hAPP(_u13944, _u13941)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBC(_u13945, _u13943, tc_HOL_Obool), _u13946), _u13941)))) )).
% 13.06/13.33 cnf(matrix-6245, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), hAPP(c_Set_OCollect(_u13943), _u13944))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_HOL_Obool, _u13945), c_HOL_OEx(_u13943)), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_fun(_u13943, tc_HOL_Obool), _u13945), hAPP(c_COMBS(_u13943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13943), c_fconj), _u13944))), _u13946))))) | hBOOL(hAPP(_u13944, skolem320(_u13946, _u13945, _u13944, _u13943))) )).
% 13.06/13.33 cnf(matrix-6246, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13943), hAPP(c_Set_OCollect(_u13943), _u13944))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_HOL_Obool, _u13945), c_HOL_OEx(_u13943)), hAPP(hAPP(c_COMBB(tc_fun(_u13943, tc_HOL_Obool), tc_fun(_u13943, tc_HOL_Obool), _u13945), hAPP(c_COMBS(_u13943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13943), c_fconj), _u13944))), _u13946))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13945), hAPP(c_Set_OCollect(_u13945), hAPP(hAPP(c_COMBC(_u13945, _u13943, tc_HOL_Obool), _u13946), skolem320(_u13946, _u13945, _u13944, _u13943))))) )).
% 13.06/13.33 cnf(matrix-6247, plain, ( hBOOL(hAPP(hAPP(c_member(_u13947), _u13948), _u13949)) | ( hAPP(c_Fun_Ooverride__on(_u13947, _u13950, _u13951, _u13952, _u13949), _u13948) = hAPP(_u13951, _u13948)) )).
% 13.06/13.33 cnf(matrix-6248, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13953), _u13954), _u13955)) | ( hAPP(c_Fun_Ooverride__on(_u13953, _u13956, _u13957, _u13958, _u13955), _u13954) = hAPP(_u13958, _u13954)) )).
% 13.06/13.33 cnf(matrix-6249, plain, ( ( c_Fun_Ooverride__on(_u13959, _u13960, _u13961, _u13962, c_Orderings_Obot__class_Obot(tc_fun(_u13959, tc_HOL_Obool))) = _u13961) )).
% 13.06/13.33 cnf(matrix-6250, plain, ( c_Fun_Oinj__on(tc_fun(_u13963, _u13964), tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), tc_fun(_u13963, _u13964)), c_Set_OCollect(tc_prod(_u13963, _u13964))), hAPP(hAPP(c_COMBB(tc_fun(_u13963, tc_fun(_u13964, tc_HOL_Obool)), tc_fun(tc_prod(_u13963, _u13964), tc_HOL_Obool), tc_fun(_u13963, _u13964)), c_Product__Type_Oprod_Oprod__case(_u13963, _u13964, tc_HOL_Obool)), hAPP(c_COMBB(_u13964, tc_fun(_u13964, tc_HOL_Obool), _u13963), hAPP(c_COMBC(_u13964, _u13964, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u13963, _u13964), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6251, 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)))), _u13965))) )).
% 13.06/13.33 cnf(matrix-6252, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13972), _u13974), _u13976)) | ( hAPP(c_Fun_Ooverride__on(_u13972, _u13978, _u13980, _u13982, _u13976), _u13974) = hAPP(_u13982, _u13974)) )).
% 13.06/13.33 cnf(matrix-6253, plain, ( hBOOL(hAPP(hAPP(c_member(_u13973), _u13975), _u13977)) | ( hAPP(c_Fun_Ooverride__on(_u13973, _u13979, _u13981, _u13983, _u13977), _u13975) = hAPP(_u13981, _u13975)) )).
% 13.06/13.33 cnf(matrix-6254, plain, ( ( c_Wellfounded_Ofinite__psubset(_u13984) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u13984, tc_HOL_Obool), tc_fun(_u13984, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u13984, tc_HOL_Obool), tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u13984, tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u13984, tc_HOL_Obool)), c_COMBS(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13984, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u13984, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u13984, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u13984, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u13984))))) )).
% 13.06/13.33 cnf(matrix-6255, plain, ( ( c_Map_Oran(_u13985, _u13986, _u13987) = hAPP(c_Set_OCollect(_u13986), hAPP(hAPP(c_COMBB(tc_fun(_u13985, tc_HOL_Obool), tc_HOL_Obool, _u13986), c_HOL_OEx(_u13985)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u13986), tc_fun(_u13985, tc_HOL_Obool), _u13986), hAPP(c_COMBC(_u13985, tc_Option_Ooption(_u13986), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u13986), tc_fun(tc_Option_Ooption(_u13986), tc_HOL_Obool), _u13985), c_fequal), _u13987))), c_Option_Ooption_OSome(_u13986))))) )).
% 13.06/13.33 cnf(matrix-6256, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u13988, _u13989), _u13990), _u13991) = hAPP(c_Set_OCollect(tc_prod(_u13989, _u13989)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13989, _u13989, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13989, tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_fun(_u13989, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13989, tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_fun(_u13989, tc_HOL_Obool)), _u13989), c_COMBC(_u13989, tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13989, tc_prod(_u13988, _u13988)), tc_fun(_u13989, tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool)), _u13989), hAPP(c_COMBB(tc_prod(_u13988, _u13988), tc_fun(tc_fun(tc_prod(_u13988, _u13988), tc_HOL_Obool), tc_HOL_Obool), _u13989), c_member(tc_prod(_u13988, _u13988)))), hAPP(hAPP(c_COMBC(_u13989, tc_fun(_u13989, _u13988), tc_fun(_u13989, tc_prod(_u13988, _u13988))), hAPP(hAPP(c_COMBB(tc_fun(_u13988, tc_prod(_u13988, _u13988)), tc_fun(tc_fun(_u13989, _u13988), tc_fun(_u13989, tc_prod(_u13988, _u13988))), _u13989), c_COMBB(_u13988, tc_prod(_u13988, _u13988), _u13989)), hAPP(hAPP(c_COMBB(_u13988, tc_fun(_u13988, tc_prod(_u13988, _u13988)), _u13989), c_Product__Type_OPair(_u13988, _u13988)), _u13991))), _u13991)))), _u13990)))) )).
% 13.06/13.33 cnf(matrix-6257, 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)))), _u13992)) = 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), _u13992), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 13.06/13.33 cnf(matrix-6258, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u13993) = 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), _u13993), c_Int_Onat))))) )).
% 13.06/13.33 cnf(matrix-6259, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13994), _u13995)) | ( _u13995 = c_Orderings_Obot__class_Obot(tc_fun(_u13994, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13994), _u13996), c_Big__Operators_Olinorder__class_OMax(_u13994, _u13995)) = c_Big__Operators_Olinorder__class_OMax(_u13994, hAPP(c_Set_OCollect(_u13994), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_HOL_Obool, _u13994), c_HOL_OEx(_u13994)), hAPP(hAPP(c_COMBC(_u13994, tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_HOL_Obool)), _u13994), c_COMBS(_u13994, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_fun(_u13994, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13994), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13994), c_fconj)), hAPP(hAPP(c_COMBC(_u13994, tc_fun(_u13994, _u13994), tc_fun(_u13994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13994, tc_HOL_Obool), tc_fun(tc_fun(_u13994, _u13994), tc_fun(_u13994, tc_HOL_Obool)), _u13994), c_COMBB(_u13994, tc_HOL_Obool, _u13994)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13994), _u13996))))), hAPP(hAPP(c_COMBC(_u13994, tc_fun(_u13994, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13994)), _u13995)))))) )).
% 13.06/13.33 cnf(matrix-6260, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13997), _u13998)) | ( _u13998 = c_Orderings_Obot__class_Obot(tc_fun(_u13997, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13997), _u13999), c_Big__Operators_Olinorder__class_OMin(_u13997, _u13998)) = c_Big__Operators_Olinorder__class_OMin(_u13997, hAPP(c_Set_OCollect(_u13997), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_HOL_Obool), tc_HOL_Obool, _u13997), c_HOL_OEx(_u13997)), hAPP(hAPP(c_COMBC(_u13997, tc_fun(_u13997, tc_HOL_Obool), tc_fun(_u13997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13997, tc_HOL_Obool), tc_fun(_u13997, tc_HOL_Obool)), _u13997), c_COMBS(_u13997, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_HOL_Obool), tc_fun(_u13997, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13997), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13997), c_fconj)), hAPP(hAPP(c_COMBC(_u13997, tc_fun(_u13997, _u13997), tc_fun(_u13997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13997, tc_HOL_Obool), tc_fun(tc_fun(_u13997, _u13997), tc_fun(_u13997, tc_HOL_Obool)), _u13997), c_COMBB(_u13997, tc_HOL_Obool, _u13997)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13997), _u13999))))), hAPP(hAPP(c_COMBC(_u13997, tc_fun(_u13997, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13997)), _u13998)))))) )).
% 13.06/13.33 cnf(matrix-6261, plain, ( ~class_Lattices_Odistrib__lattice(_u14000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14001)) | ( _u14001 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14002)) | ( _u14002 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14000), c_Big__Operators_Olattice__class_OInf__fin(_u14000, _u14001)), c_Big__Operators_Olattice__class_OInf__fin(_u14000, _u14002)) = c_Big__Operators_Olattice__class_OInf__fin(_u14000, hAPP(c_Set_OCollect(_u14000), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool, _u14000), c_HOL_OEx(_u14000)), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_HOL_Obool), _u14000), hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool, _u14000), c_HOL_OEx(_u14000))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), tc_fun(tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), _u14000), c_COMBS(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14000, tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), _u14000), hAPP(c_COMBB(tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14000), c_COMBS(_u14000, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool)), tc_fun(_u14000, tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14000), hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14000), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14000), c_fconj))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_fun(_u14000, _u14000)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14000, _u14000), tc_fun(_u14000, tc_HOL_Obool)), tc_fun(tc_fun(_u14000, tc_fun(_u14000, _u14000)), tc_fun(_u14000, tc_fun(_u14000, tc_HOL_Obool))), _u14000), c_COMBB(tc_fun(_u14000, _u14000), tc_fun(_u14000, tc_HOL_Obool), _u14000)), hAPP(hAPP(c_COMBB(tc_fun(_u14000, tc_HOL_Obool), tc_fun(tc_fun(_u14000, _u14000), tc_fun(_u14000, tc_HOL_Obool)), _u14000), c_COMBB(_u14000, tc_HOL_Obool, _u14000)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u14000)))))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14000), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14000)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14000), c_fconj), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14000)), _u14001)))), hAPP(hAPP(c_COMBC(_u14000, tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14000)), _u14002)))))))) )).
% 13.06/13.33 cnf(matrix-6262, plain, ( ~class_Lattices_Odistrib__lattice(_u14003) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14003), _u14004)) | ( _u14004 = c_Orderings_Obot__class_Obot(tc_fun(_u14003, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14003), _u14005), c_Big__Operators_Olattice__class_OInf__fin(_u14003, _u14004)) = c_Big__Operators_Olattice__class_OInf__fin(_u14003, hAPP(c_Set_OCollect(_u14003), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_HOL_Obool), tc_HOL_Obool, _u14003), c_HOL_OEx(_u14003)), hAPP(hAPP(c_COMBC(_u14003, tc_fun(_u14003, tc_HOL_Obool), tc_fun(_u14003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14003, tc_HOL_Obool), tc_fun(_u14003, tc_HOL_Obool)), _u14003), c_COMBS(_u14003, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_HOL_Obool), tc_fun(_u14003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14003), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14003), c_fconj)), hAPP(hAPP(c_COMBC(_u14003, tc_fun(_u14003, _u14003), tc_fun(_u14003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14003, tc_HOL_Obool), tc_fun(tc_fun(_u14003, _u14003), tc_fun(_u14003, tc_HOL_Obool)), _u14003), c_COMBB(_u14003, tc_HOL_Obool, _u14003)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14003), _u14005))))), hAPP(hAPP(c_COMBC(_u14003, tc_fun(_u14003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14003)), _u14004)))))) )).
% 13.06/13.33 cnf(matrix-6263, plain, ( ~class_Lattices_Odistrib__lattice(_u14006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14006), _u14007)) | ( _u14007 = c_Orderings_Obot__class_Obot(tc_fun(_u14006, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14006), _u14008), c_Big__Operators_Olattice__class_OSup__fin(_u14006, _u14007)) = c_Big__Operators_Olattice__class_OSup__fin(_u14006, hAPP(c_Set_OCollect(_u14006), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_HOL_Obool), tc_HOL_Obool, _u14006), c_HOL_OEx(_u14006)), hAPP(hAPP(c_COMBC(_u14006, tc_fun(_u14006, tc_HOL_Obool), tc_fun(_u14006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14006, tc_HOL_Obool), tc_fun(_u14006, tc_HOL_Obool)), _u14006), c_COMBS(_u14006, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_HOL_Obool), tc_fun(_u14006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14006), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14006), c_fconj)), hAPP(hAPP(c_COMBC(_u14006, tc_fun(_u14006, _u14006), tc_fun(_u14006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14006, tc_HOL_Obool), tc_fun(tc_fun(_u14006, _u14006), tc_fun(_u14006, tc_HOL_Obool)), _u14006), c_COMBB(_u14006, tc_HOL_Obool, _u14006)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14006), _u14008))))), hAPP(hAPP(c_COMBC(_u14006, tc_fun(_u14006, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14006)), _u14007)))))) )).
% 13.06/13.33 cnf(matrix-6264, plain, ( ~class_Lattices_Odistrib__lattice(_u14009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14009), _u14010)) | ( _u14010 = c_Orderings_Obot__class_Obot(tc_fun(_u14009, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14009), _u14011)) | ( _u14011 = c_Orderings_Obot__class_Obot(tc_fun(_u14009, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14009), c_Big__Operators_Olattice__class_OSup__fin(_u14009, _u14010)), c_Big__Operators_Olattice__class_OSup__fin(_u14009, _u14011)) = c_Big__Operators_Olattice__class_OSup__fin(_u14009, hAPP(c_Set_OCollect(_u14009), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool, _u14009), c_HOL_OEx(_u14009)), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_HOL_Obool), _u14009), hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool, _u14009), c_HOL_OEx(_u14009))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool))), tc_fun(tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), _u14009), c_COMBS(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14009, tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool))), _u14009), hAPP(c_COMBB(tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool)), _u14009), c_COMBS(_u14009, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool)), tc_fun(_u14009, tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14009), hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14009), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14009), c_fconj))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_fun(_u14009, _u14009)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14009, _u14009), tc_fun(_u14009, tc_HOL_Obool)), tc_fun(tc_fun(_u14009, tc_fun(_u14009, _u14009)), tc_fun(_u14009, tc_fun(_u14009, tc_HOL_Obool))), _u14009), c_COMBB(tc_fun(_u14009, _u14009), tc_fun(_u14009, tc_HOL_Obool), _u14009)), hAPP(hAPP(c_COMBB(tc_fun(_u14009, tc_HOL_Obool), tc_fun(tc_fun(_u14009, _u14009), tc_fun(_u14009, tc_HOL_Obool)), _u14009), c_COMBB(_u14009, tc_HOL_Obool, _u14009)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u14009)))))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14009, tc_HOL_Obool), tc_fun(_u14009, tc_HOL_Obool)), _u14009), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14009)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14009), c_fconj), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14009)), _u14010)))), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14009, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14009)), _u14011)))))))) )).
% 13.06/13.33 cnf(matrix-6265, plain, ( ~class_Orderings_Olinorder(_u14012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14012), _u14013)) | ( _u14013 = c_Orderings_Obot__class_Obot(tc_fun(_u14012, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14012), _u14014), c_Big__Operators_Olattice_OInf__fin(_u14012, c_Orderings_Oord__class_Omin(_u14012), _u14013)) = c_Big__Operators_Olattice_OInf__fin(_u14012, c_Orderings_Oord__class_Omin(_u14012), hAPP(c_Set_OCollect(_u14012), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_HOL_Obool), tc_HOL_Obool, _u14012), c_HOL_OEx(_u14012)), hAPP(hAPP(c_COMBC(_u14012, tc_fun(_u14012, tc_HOL_Obool), tc_fun(_u14012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14012, tc_HOL_Obool), tc_fun(_u14012, tc_HOL_Obool)), _u14012), c_COMBS(_u14012, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_HOL_Obool), tc_fun(_u14012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14012), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14012), c_fconj)), hAPP(hAPP(c_COMBC(_u14012, tc_fun(_u14012, _u14012), tc_fun(_u14012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_HOL_Obool), tc_fun(tc_fun(_u14012, _u14012), tc_fun(_u14012, tc_HOL_Obool)), _u14012), c_COMBB(_u14012, tc_HOL_Obool, _u14012)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u14012), _u14014))))), hAPP(hAPP(c_COMBC(_u14012, tc_fun(_u14012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14012)), _u14013)))))) )).
% 13.06/13.33 cnf(matrix-6266, plain, ( ~class_Orderings_Olinorder(_u14015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14015), _u14016)) | ( _u14016 = c_Orderings_Obot__class_Obot(tc_fun(_u14015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14015), _u14017), c_Big__Operators_Olattice_OSup__fin(_u14015, c_Orderings_Oord__class_Omax(_u14015), _u14016)) = c_Big__Operators_Olattice_OSup__fin(_u14015, c_Orderings_Oord__class_Omax(_u14015), hAPP(c_Set_OCollect(_u14015), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_HOL_Obool), tc_HOL_Obool, _u14015), c_HOL_OEx(_u14015)), hAPP(hAPP(c_COMBC(_u14015, tc_fun(_u14015, tc_HOL_Obool), tc_fun(_u14015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14015, tc_HOL_Obool), tc_fun(_u14015, tc_HOL_Obool)), _u14015), c_COMBS(_u14015, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_HOL_Obool), tc_fun(_u14015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14015), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14015), c_fconj)), hAPP(hAPP(c_COMBC(_u14015, tc_fun(_u14015, _u14015), tc_fun(_u14015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14015, tc_HOL_Obool), tc_fun(tc_fun(_u14015, _u14015), tc_fun(_u14015, tc_HOL_Obool)), _u14015), c_COMBB(_u14015, tc_HOL_Obool, _u14015)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u14015), _u14017))))), hAPP(hAPP(c_COMBC(_u14015, tc_fun(_u14015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14015)), _u14016)))))) )).
% 13.06/13.33 cnf(matrix-6267, plain, ( ~class_Orderings_Olinorder(_u14018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14019)) | ( _u14019 = c_Orderings_Obot__class_Obot(tc_fun(_u14018, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14018), _u14020)) | ( _u14020 = c_Orderings_Obot__class_Obot(tc_fun(_u14018, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14018), c_Big__Operators_Olattice_OInf__fin(_u14018, c_Orderings_Oord__class_Omin(_u14018), _u14019)), c_Big__Operators_Olattice_OInf__fin(_u14018, c_Orderings_Oord__class_Omin(_u14018), _u14020)) = c_Big__Operators_Olattice_OInf__fin(_u14018, c_Orderings_Oord__class_Omin(_u14018), hAPP(c_Set_OCollect(_u14018), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool, _u14018), c_HOL_OEx(_u14018)), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_HOL_Obool), _u14018), hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool, _u14018), c_HOL_OEx(_u14018))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool))), tc_fun(tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), _u14018), c_COMBS(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14018, tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool))), _u14018), hAPP(c_COMBB(tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool)), _u14018), c_COMBS(_u14018, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool)), tc_fun(_u14018, tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14018), hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14018), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14018), c_fconj))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_fun(_u14018, _u14018)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14018, _u14018), tc_fun(_u14018, tc_HOL_Obool)), tc_fun(tc_fun(_u14018, tc_fun(_u14018, _u14018)), tc_fun(_u14018, tc_fun(_u14018, tc_HOL_Obool))), _u14018), c_COMBB(tc_fun(_u14018, _u14018), tc_fun(_u14018, tc_HOL_Obool), _u14018)), hAPP(hAPP(c_COMBB(tc_fun(_u14018, tc_HOL_Obool), tc_fun(tc_fun(_u14018, _u14018), tc_fun(_u14018, tc_HOL_Obool)), _u14018), c_COMBB(_u14018, tc_HOL_Obool, _u14018)), c_fequal))), c_Orderings_Oord__class_Omax(_u14018)))))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14018, tc_HOL_Obool), tc_fun(_u14018, tc_HOL_Obool)), _u14018), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14018)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14018), c_fconj), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14018)), _u14019)))), hAPP(hAPP(c_COMBC(_u14018, tc_fun(_u14018, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14018)), _u14020)))))))) )).
% 13.06/13.33 cnf(matrix-6268, plain, ( ( c_Nitpick_Oprod(_u14021, _u14022, _u14023, _u14024) = hAPP(c_Set_OCollect(tc_prod(_u14021, _u14022)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14021, _u14022, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14021, tc_fun(_u14022, tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14022, tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), _u14021), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14022)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14021), c_fconj), hAPP(hAPP(c_COMBC(_u14021, tc_fun(_u14021, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14021)), _u14023)))), hAPP(hAPP(c_COMBC(_u14022, tc_fun(_u14022, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14022)), _u14024))))) )).
% 13.06/13.33 cnf(matrix-6269, plain, ( ( c_Int_Oint__ge__less__than2(_u14025) = 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), _u14025)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 13.06/13.33 cnf(matrix-6270, plain, ( ( c_Int_Oint__ge__less__than(_u14026) = 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), _u14026)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 13.06/13.33 cnf(matrix-6271, plain, ( ~c_Predicate_Oreflp(_u14029, _u14031) | c_Relation_Orefl__on(_u14029, c_Orderings_Otop__class_Otop(tc_fun(_u14029, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14029, _u14029)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14029, _u14029, tc_HOL_Obool), _u14031))) )).
% 13.06/13.33 cnf(matrix-6272, plain, ( ~c_Relation_Orefl__on(_u14030, c_Orderings_Otop__class_Otop(tc_fun(_u14030, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14030, _u14030)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14030, _u14030, tc_HOL_Obool), _u14032))) | c_Predicate_Oreflp(_u14030, _u14032) )).
% 13.06/13.33 cnf(matrix-6273, plain, ( hBOOL(hAPP(hAPP(_u14034, _u14035), _u14035)) | ~c_Predicate_Oreflp(_u14033, _u14034) )).
% 13.06/13.33 cnf(matrix-6274, plain, ( ~class_Rings_Osemiring__0(_u14036) | ~c_Fun_Oinj__on(tc_prod(_u14037, _u14038), _u14036, hAPP(c_Product__Type_Oprod_Oprod__case(_u14037, _u14038, _u14036), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), hAPP(hAPP(c_COMBB(tc_fun(_u14036, _u14036), tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), _u14037), c_COMBB(_u14036, _u14036, _u14038)), hAPP(hAPP(c_COMBB(_u14036, tc_fun(_u14036, _u14036), _u14037), c_Groups_Otimes__class_Otimes(_u14036)), _u14039))), _u14040)), hAPP(hAPP(c_Product__Type_OSigma(_u14037, _u14038), _u14041), hAPP(c_COMBK(tc_fun(_u14038, tc_HOL_Obool), _u14037), _u14042))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14036), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14037, _u14036), _u14039), _u14041)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14038, _u14036), _u14040), _u14042)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14036, _u14036), c_Fun_Oid(_u14036)), hAPP(c_Set_OCollect(_u14036), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_HOL_Obool), tc_HOL_Obool, _u14036), c_HOL_OEx(_u14037)), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_HOL_Obool), _u14036), hAPP(c_COMBB(tc_fun(_u14038, tc_HOL_Obool), tc_HOL_Obool, _u14037), c_HOL_OEx(_u14038))), hAPP(hAPP(c_COMBC(_u14036, tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool))), tc_fun(tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), _u14036), c_COMBS(_u14037, tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14037, tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool))), _u14036), hAPP(c_COMBB(tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool)), _u14037), c_COMBS(_u14038, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool)), tc_fun(_u14037, tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u14036), hAPP(c_COMBB(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14037), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14038), c_fconj))), hAPP(hAPP(c_COMBC(_u14036, tc_fun(_u14037, tc_fun(_u14038, _u14036)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, tc_HOL_Obool)), tc_fun(tc_fun(_u14037, tc_fun(_u14038, _u14036)), tc_fun(_u14037, tc_fun(_u14038, tc_HOL_Obool))), _u14036), c_COMBB(tc_fun(_u14038, _u14036), tc_fun(_u14038, tc_HOL_Obool), _u14037)), hAPP(hAPP(c_COMBB(tc_fun(_u14036, tc_HOL_Obool), tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, tc_HOL_Obool)), _u14036), c_COMBB(_u14036, tc_HOL_Obool, _u14038)), c_fequal))), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), hAPP(hAPP(c_COMBB(tc_fun(_u14036, _u14036), tc_fun(tc_fun(_u14038, _u14036), tc_fun(_u14038, _u14036)), _u14037), c_COMBB(_u14036, _u14036, _u14038)), hAPP(hAPP(c_COMBB(_u14036, tc_fun(_u14036, _u14036), _u14037), c_Groups_Otimes__class_Otimes(_u14036)), _u14039))), _u14040)))))), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14038, tc_HOL_Obool), tc_fun(_u14038, tc_HOL_Obool)), _u14037), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14038)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14037), c_fconj), hAPP(hAPP(c_COMBC(_u14037, tc_fun(_u14037, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14037)), _u14041)))), hAPP(hAPP(c_COMBC(_u14038, tc_fun(_u14038, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14038)), _u14042)))))))) )).
% 13.06/13.33 cnf(matrix-6275, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14044), _u14045)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14046), _u14047)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14044, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_Nat_Onat, _u14044), c_Finite__Set_Ocard(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), c_Set_OCollect(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), hAPP(c_COMBS(_u14046, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14046), c_fconj), hAPP(hAPP(c_COMBC(_u14046, tc_fun(_u14046, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14046)), _u14047)))), _u14048)))), _u14045) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14046, tc_Nat_Onat), _u14049), _u14047)) | hBOOL(hAPP(hAPP(c_member(_u14046), skolem321(_u14049, _u14048, _u14047, _u14046, _u14045, _u14044)), _u14047)) )).
% 13.06/13.33 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14044), _u14045)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14046), _u14047)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14044, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_Nat_Onat, _u14044), c_Finite__Set_Ocard(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), c_Set_OCollect(_u14046)), hAPP(hAPP(c_COMBB(tc_fun(_u14046, tc_HOL_Obool), tc_fun(_u14046, tc_HOL_Obool), _u14044), hAPP(c_COMBS(_u14046, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14046), c_fconj), hAPP(hAPP(c_COMBC(_u14046, tc_fun(_u14046, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14046)), _u14047)))), _u14048)))), _u14045) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14046, tc_Nat_Onat), _u14049), _u14047)) | ( hAPP(c_Finite__Set_Ocard(_u14044), hAPP(c_Set_OCollect(_u14044), hAPP(hAPP(c_COMBS(_u14044, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14044), c_fconj), hAPP(hAPP(c_COMBC(_u14044, tc_fun(_u14044, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14044)), _u14045))), hAPP(hAPP(c_COMBC(_u14044, _u14046, tc_HOL_Obool), _u14048), skolem321(_u14049, _u14048, _u14047, _u14046, _u14045, _u14044))))) != hAPP(_u14049, skolem321(_u14049, _u14048, _u14047, _u14046, _u14045, _u14044))) )).
% 13.06/13.33 cnf(matrix-6277, plain, ( ( hAPP(c_Set_Oimage(_u14050, _u14050, c_Fun_Oid(_u14050)), _u14051) = _u14051) )).
% 13.06/13.33 cnf(matrix-6278, plain, ( ( hAPP(c_Set_Ovimage(_u14052, _u14052, c_Fun_Oid(_u14052)), _u14053) = _u14053) )).
% 13.06/13.33 cnf(matrix-6279, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 13.06/13.33 cnf(matrix-6280, plain, ( ( c_Product__Type_Oapsnd(_u14054, _u14054, _u14055, c_Fun_Oid(_u14054)) = c_Fun_Oid(tc_prod(_u14055, _u14054))) )).
% 13.06/13.33 cnf(matrix-6281, plain, ( ( c_Product__Type_Oapfst(_u14056, _u14056, _u14057, c_Fun_Oid(_u14056)) = c_Fun_Oid(tc_prod(_u14056, _u14057))) )).
% 13.06/13.33 cnf(matrix-6282, plain, ( ( hAPP(c_Fun_Oid(_u14058), _u14059) = _u14059) )).
% 13.06/13.33 cnf(matrix-6283, plain, ( ( hAPP(c_Fun_Oid(_u14060), _u14061) = _u14061) )).
% 13.06/13.33 cnf(matrix-6284, plain, ( ( c_Product__Type_Omap__pair(_u14062, _u14062, _u14063, _u14063, c_Fun_Oid(_u14062), c_Fun_Oid(_u14063)) = c_Fun_Oid(tc_prod(_u14062, _u14063))) )).
% 13.06/13.33 cnf(matrix-6285, plain, ( ( c_Product__Type_Omap__pair(_u14064, _u14064, _u14065, _u14065, c_COMBI(_u14064), c_COMBI(_u14065)) = c_Fun_Oid(tc_prod(_u14064, _u14065))) )).
% 13.06/13.33 cnf(matrix-6286, plain, ( c_Fun_Oinj__on(_u14066, _u14066, c_Fun_Oid(_u14066), _u14067) )).
% 13.06/13.33 cnf(matrix-6287, plain, ( ( hAPP(c_Set_Oimage(_u14068, _u14068, c_Fun_Oid(_u14068)), c_Orderings_Otop__class_Otop(tc_fun(_u14068, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14068, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6288, plain, ( ( c_Product__Type_Oapsnd(_u14069, _u14070, _u14071, _u14072) = c_Product__Type_Omap__pair(_u14071, _u14071, _u14069, _u14070, c_Fun_Oid(_u14071), _u14072)) )).
% 13.06/13.33 cnf(matrix-6289, plain, ( ( c_Product__Type_Oapfst(_u14073, _u14074, _u14075, _u14076) = c_Product__Type_Omap__pair(_u14073, _u14074, _u14075, _u14075, _u14076, c_Fun_Oid(_u14075))) )).
% 13.06/13.33 cnf(matrix-6290, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u14077, _u14078, tc_prod(_u14077, _u14078)), c_Product__Type_OPair(_u14077, _u14078)) = c_Fun_Oid(tc_prod(_u14077, _u14078))) )).
% 13.06/13.33 cnf(matrix-6291, plain, ( ~class_Groups_Ocomm__monoid__add(_u14079) | ~c_Fun_Oinj__on(_u14080, _u14079, _u14081, _u14082) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14080, _u14079), _u14081), _u14082) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14079, _u14079), c_Fun_Oid(_u14079)), hAPP(c_Set_Oimage(_u14080, _u14079, _u14081), _u14082))) )).
% 13.06/13.33 cnf(matrix-6292, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14083) | ~c_Fun_Oinj__on(_u14084, _u14083, _u14085, _u14086) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14084, _u14083), _u14085), _u14086) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14083, _u14083), c_Fun_Oid(_u14083)), hAPP(c_Set_Oimage(_u14084, _u14083, _u14085), _u14086))) )).
% 13.06/13.33 cnf(matrix-6293, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14093), _u14095)) | ( _u14095 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u14093, skolem323(_u14095, _u14093)), 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)), skolem322(_u14095, _u14093))))) )).
% 13.06/13.33 cnf(matrix-6294, plain, ( ( _u14096 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u14094, _u14089), 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)), _u14090)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14094), _u14096)) )).
% 13.06/13.33 cnf(matrix-6295, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14097, _u14098, _u14099), _u14100), _u14101) = hAPP(c_Set_OCollect(tc_prod(_u14097, _u14099)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14097, _u14099, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool)), tc_fun(_u14099, tc_HOL_Obool), _u14097), hAPP(c_COMBB(tc_fun(_u14098, tc_HOL_Obool), tc_HOL_Obool, _u14099), c_HOL_OEx(_u14098))), hAPP(hAPP(c_COMBC(_u14097, tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool)), tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), tc_fun(tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool)), tc_fun(_u14099, tc_fun(_u14098, tc_HOL_Obool))), _u14097), c_COMBB(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool), _u14099)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), _u14097), c_COMBS(_u14098, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_HOL_Obool), tc_fun(_u14098, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14097), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14098), c_fconj)), hAPP(hAPP(c_COMBC(_u14097, tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), _u14097), c_COMBC(_u14098, tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_prod(_u14097, _u14098)), tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool)), _u14097), hAPP(c_COMBB(tc_prod(_u14097, _u14098), tc_fun(tc_fun(tc_prod(_u14097, _u14098), tc_HOL_Obool), tc_HOL_Obool), _u14098), c_member(tc_prod(_u14097, _u14098)))), c_Product__Type_OPair(_u14097, _u14098)))), _u14100))))), hAPP(hAPP(c_COMBC(_u14099, tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_fun(_u14098, tc_HOL_Obool)), _u14099), c_COMBC(_u14098, tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14098, tc_prod(_u14098, _u14099)), tc_fun(_u14098, tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool)), _u14099), hAPP(c_COMBB(tc_prod(_u14098, _u14099), tc_fun(tc_fun(tc_prod(_u14098, _u14099), tc_HOL_Obool), tc_HOL_Obool), _u14098), c_member(tc_prod(_u14098, _u14099)))), hAPP(c_COMBC(_u14098, _u14099, tc_prod(_u14098, _u14099)), c_Product__Type_OPair(_u14098, _u14099))))), _u14101)))))) )).
% 13.06/13.33 cnf(matrix-6296, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14102, _u14103)), hAPP(hAPP(c_Product__Type_OPair(_u14102, _u14103), _u14104), _u14105)), _u14106)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14107)), hAPP(hAPP(c_Product__Type_OPair(_u14103, _u14107), _u14105), _u14108)), _u14109)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14102, _u14107)), hAPP(hAPP(c_Product__Type_OPair(_u14102, _u14107), _u14104), _u14108)), hAPP(hAPP(c_Relation_Orel__comp(_u14102, _u14103, _u14107), _u14106), _u14109))) )).
% 13.06/13.33 cnf(matrix-6297, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14110, _u14111, _u14112), _u14113), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14111, _u14112), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14110, _u14112), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6298, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14114, _u14115, _u14116), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14114, _u14115), tc_HOL_Obool))), _u14117) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14114, _u14116), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6299, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14118, _u14119, _u14120), hAPP(hAPP(c_Relation_Orel__comp(_u14118, _u14121, _u14119), _u14122), _u14123)), _u14124) = hAPP(hAPP(c_Relation_Orel__comp(_u14118, _u14121, _u14120), _u14122), hAPP(hAPP(c_Relation_Orel__comp(_u14121, _u14119, _u14120), _u14123), _u14124))) )).
% 13.06/13.33 cnf(matrix-6300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14125, _u14126), tc_HOL_Obool)), _u14127), _u14128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14126, _u14129), tc_HOL_Obool)), _u14130), _u14131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14125, _u14129), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14125, _u14126, _u14129), _u14127), _u14130)), hAPP(hAPP(c_Relation_Orel__comp(_u14125, _u14126, _u14129), _u14128), _u14131))) )).
% 13.06/13.33 cnf(matrix-6301, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14132, _u14133, _u14134), _u14135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14133, _u14134), tc_HOL_Obool)), _u14136), _u14137)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14132, _u14134), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14132, _u14133, _u14134), _u14135), _u14136)), hAPP(hAPP(c_Relation_Orel__comp(_u14132, _u14133, _u14134), _u14135), _u14137))) )).
% 13.06/13.33 cnf(matrix-6302, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14138, _u14139, _u14140), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14138, _u14139), tc_HOL_Obool)), _u14141), _u14142)), _u14143) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14138, _u14140), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14138, _u14139, _u14140), _u14141), _u14143)), hAPP(hAPP(c_Relation_Orel__comp(_u14138, _u14139, _u14140), _u14142), _u14143))) )).
% 13.06/13.33 cnf(matrix-6303, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14144, _u14145, _u14146), _u14147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14148, tc_fun(tc_prod(_u14145, _u14146), tc_HOL_Obool)), _u14149), _u14150)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14148, tc_fun(tc_prod(_u14144, _u14146), tc_HOL_Obool)), _u14149), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14145, _u14146), tc_HOL_Obool), tc_fun(tc_prod(_u14144, _u14146), tc_HOL_Obool), _u14148), hAPP(c_Relation_Orel__comp(_u14144, _u14145, _u14146), _u14147)), _u14150))) )).
% 13.06/13.33 cnf(matrix-6304, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14151, _u14152, _u14153), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14154, tc_fun(tc_prod(_u14151, _u14152), tc_HOL_Obool)), _u14155), _u14156)), _u14157) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14154, tc_fun(tc_prod(_u14151, _u14153), tc_HOL_Obool)), _u14155), hAPP(hAPP(c_COMBC(_u14154, tc_fun(tc_prod(_u14152, _u14153), tc_HOL_Obool), tc_fun(tc_prod(_u14151, _u14153), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14151, _u14152), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u14152, _u14153), tc_HOL_Obool), tc_fun(tc_prod(_u14151, _u14153), tc_HOL_Obool)), _u14154), c_Relation_Orel__comp(_u14151, _u14152, _u14153)), _u14156)), _u14157))) )).
% 13.06/13.33 cnf(matrix-6305, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14158, _u14158, _u14158), _u14159), _u14160) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14158, _u14158, _u14158), _u14161), _u14160) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14158, _u14158, _u14158), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool)), _u14159), _u14161)), _u14160) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14158, _u14158), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6306, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14162, _u14162, _u14162), _u14163), _u14164) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14162, _u14162, _u14162), _u14163), _u14165) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14162, _u14162, _u14162), _u14163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool)), _u14164), _u14165)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14162, _u14162), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14166, _u14167), tc_HOL_Obool)), _u14168), hAPP(hAPP(c_Product__Type_OSigma(_u14166, _u14167), _u14169), hAPP(c_COMBK(tc_fun(_u14167, tc_HOL_Obool), _u14166), _u14170)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14167, _u14171), tc_HOL_Obool)), _u14172), hAPP(hAPP(c_Product__Type_OSigma(_u14167, _u14171), _u14170), hAPP(c_COMBK(tc_fun(_u14171, tc_HOL_Obool), _u14167), _u14173)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14166, _u14171), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14166, _u14167, _u14171), _u14168), _u14172)), hAPP(hAPP(c_Product__Type_OSigma(_u14166, _u14171), _u14169), hAPP(c_COMBK(tc_fun(_u14171, tc_HOL_Obool), _u14166), _u14173)))) )).
% 13.06/13.33 cnf(matrix-6308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14174, _u14174), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14174, _u14174, _u14174), _u14175), _u14176)), _u14175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14174, _u14175)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u14174, _u14176)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14174, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14174, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14174, tc_HOL_Obool), tc_fun(_u14174, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u14174, _u14175))) )).
% 13.06/13.33 cnf(matrix-6309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14177, _u14177), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14177, _u14177, _u14177), _u14178), _u14179)), _u14178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14177, _u14178)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u14177, _u14179)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14177, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u14177, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u14177, tc_HOL_Obool), tc_fun(_u14177, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u14177, _u14178))) )).
% 13.06/13.33 cnf(matrix-6310, plain, ( ~c_Predicate_Opred__comp(_u14187, _u14189, _u14191, hAPP(hAPP(c_COMBC(_u14187, tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_fun(_u14189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14189, tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_fun(_u14189, tc_HOL_Obool)), _u14187), c_COMBC(_u14189, tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14189, tc_prod(_u14187, _u14189)), tc_fun(_u14189, tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool)), _u14187), hAPP(c_COMBB(tc_prod(_u14187, _u14189), tc_fun(tc_fun(tc_prod(_u14187, _u14189), tc_HOL_Obool), tc_HOL_Obool), _u14189), c_member(tc_prod(_u14187, _u14189)))), c_Product__Type_OPair(_u14187, _u14189)))), _u14193), hAPP(hAPP(c_COMBC(_u14189, tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_fun(_u14191, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14191, tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_fun(_u14191, tc_HOL_Obool)), _u14189), c_COMBC(_u14191, tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14191, tc_prod(_u14189, _u14191)), tc_fun(_u14191, tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool)), _u14189), hAPP(c_COMBB(tc_prod(_u14189, _u14191), tc_fun(tc_fun(tc_prod(_u14189, _u14191), tc_HOL_Obool), tc_HOL_Obool), _u14191), c_member(tc_prod(_u14189, _u14191)))), c_Product__Type_OPair(_u14189, _u14191)))), _u14195), _u14197, _u14199) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14187, _u14191)), hAPP(hAPP(c_Product__Type_OPair(_u14187, _u14191), _u14197), _u14199)), hAPP(hAPP(c_Relation_Orel__comp(_u14187, _u14189, _u14191), _u14193), _u14195))) )).
% 13.06/13.33 cnf(matrix-6311, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14188, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14188, _u14192), _u14198), _u14200)), hAPP(hAPP(c_Relation_Orel__comp(_u14188, _u14190, _u14192), _u14194), _u14196))) | c_Predicate_Opred__comp(_u14188, _u14190, _u14192, hAPP(hAPP(c_COMBC(_u14188, tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_fun(_u14190, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14190, tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_fun(_u14190, tc_HOL_Obool)), _u14188), c_COMBC(_u14190, tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14190, tc_prod(_u14188, _u14190)), tc_fun(_u14190, tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool)), _u14188), hAPP(c_COMBB(tc_prod(_u14188, _u14190), tc_fun(tc_fun(tc_prod(_u14188, _u14190), tc_HOL_Obool), tc_HOL_Obool), _u14190), c_member(tc_prod(_u14188, _u14190)))), c_Product__Type_OPair(_u14188, _u14190)))), _u14194), hAPP(hAPP(c_COMBC(_u14190, tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_fun(_u14192, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14192, tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_fun(_u14192, tc_HOL_Obool)), _u14190), c_COMBC(_u14192, tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14192, tc_prod(_u14190, _u14192)), tc_fun(_u14192, tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool)), _u14190), hAPP(c_COMBB(tc_prod(_u14190, _u14192), tc_fun(tc_fun(tc_prod(_u14190, _u14192), tc_HOL_Obool), tc_HOL_Obool), _u14192), c_member(tc_prod(_u14190, _u14192)))), c_Product__Type_OPair(_u14190, _u14192)))), _u14196), _u14198, _u14200) )).
% 13.06/13.33 cnf(matrix-6312, plain, ( ~c_Wellfounded_Owf(_u14201, _u14202) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14201, _u14201, _u14201), _u14202), _u14203)), _u14202)) | c_FunDef_Oreduction__pair(_u14201, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool), tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool)), _u14202), _u14203)) )).
% 13.06/13.33 cnf(matrix-6313, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 13.06/13.33 cnf(matrix-6314, plain, ( ~hBOOL(hAPP(hAPP(_u14204, _u14205), _u14206)) | ~hBOOL(hAPP(hAPP(_u14207, _u14206), _u14208)) | c_Predicate_Opred__comp(_u14209, _u14210, _u14211, _u14204, _u14207, _u14205, _u14208) )).
% 13.06/13.33 cnf(matrix-6315, plain, ( c_Wellfounded_Owf(_u14212, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6316, plain, ( ~c_Wellfounded_Owf(_u14213, _u14214) | c_Wellfounded_Owf(_u14215, hAPP(hAPP(c_Relation_Oinv__image(_u14213, _u14215), _u14214), _u14216)) )).
% 13.06/13.33 cnf(matrix-6317, plain, ( ~c_Wellfounded_Owf(_u14217, _u14218) | ~c_Wellfounded_Owf(_u14219, _u14220) | c_Wellfounded_Owf(tc_prod(_u14217, _u14219), c_Wellfounded_Olex__prod(_u14217, _u14219, _u14218, _u14220)) )).
% 13.06/13.33 cnf(matrix-6318, plain, ( c_Wellfounded_Owf(_u14221, hAPP(c_Wellfounded_Omeasure(_u14221), _u14222)) )).
% 13.06/13.33 cnf(matrix-6319, plain, ( ~c_Wellfounded_Owf(_u14225, _u14227) | c_Wellfounded_Owf(_u14225, hAPP(hAPP(c_Relation_Orel__comp(_u14225, _u14225, _u14225), _u14227), _u14227)) )).
% 13.06/13.33 cnf(matrix-6320, plain, ( ~c_Wellfounded_Owf(_u14226, hAPP(hAPP(c_Relation_Orel__comp(_u14226, _u14226, _u14226), _u14228), _u14228)) | c_Wellfounded_Owf(_u14226, _u14228) )).
% 13.06/13.33 cnf(matrix-6321, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u14229)) )).
% 13.06/13.33 cnf(matrix-6322, plain, ( ~c_Wellfounded_Owf(_u14230, _u14231) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14230, _u14230)), hAPP(hAPP(c_Product__Type_OPair(_u14230, _u14230), _u14232), _u14232)), _u14231)) )).
% 13.06/13.33 cnf(matrix-6323, plain, ( ~c_Wellfounded_Owf(_u14233, _u14234) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14235), _u14236)), _u14234)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14236), _u14235)), _u14234)) )).
% 13.06/13.33 cnf(matrix-6324, plain, ( ~c_Wellfounded_Owf(_u14237, _u14238) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14237, _u14237)), hAPP(hAPP(c_Product__Type_OPair(_u14237, _u14237), _u14239), _u14240)), _u14238)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14237, _u14237)), hAPP(hAPP(c_Product__Type_OPair(_u14237, _u14237), _u14240), _u14239)), _u14238)) )).
% 13.06/13.33 cnf(matrix-6325, plain, ( ~c_Wellfounded_Owf(_u14241, _u14242) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14241, _u14241)), hAPP(hAPP(c_Product__Type_OPair(_u14241, _u14241), _u14243), _u14243)), _u14242)) )).
% 13.06/13.33 cnf(matrix-6326, plain, ( ~c_Wellfounded_Owf(_u14244, _u14245) | c_Wellfounded_Owf(_u14244, c_Wellfounded_Omlex__prod(_u14244, _u14246, _u14245)) )).
% 13.06/13.33 cnf(matrix-6327, plain, ( ~c_Wellfounded_Owf(_u14247, _u14248) | c_Wellfounded_Owf(_u14247, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14247, _u14247), tc_HOL_Obool)), _u14249), _u14248)) )).
% 13.06/13.33 cnf(matrix-6328, plain, ( ~c_Wellfounded_Owf(_u14250, _u14251) | c_Wellfounded_Owf(_u14250, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14250, _u14250), tc_HOL_Obool)), _u14251), _u14252)) )).
% 13.06/13.33 cnf(matrix-6329, plain, ( ~c_Wellfounded_Owf(_u14253, _u14254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool)), _u14255), _u14254)) | c_Wellfounded_Owf(_u14253, _u14255) )).
% 13.06/13.33 cnf(matrix-6330, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 13.06/13.33 cnf(matrix-6331, plain, ( ~c_Wellfounded_Owf(_u14256, _u14257) | c_Wellfounded_Owf(tc_fun(_u14256, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u14256, _u14257)) )).
% 13.06/13.33 cnf(matrix-6332, plain, ( ~c_Predicate_Opred__comp(_u14267, _u14269, _u14271, _u14273, _u14275, _u14277, _u14279) | hBOOL(hAPP(hAPP(_u14273, _u14277), skolem324(_u14279, _u14277, _u14275, _u14273))) )).
% 13.06/13.33 cnf(matrix-6333, plain, ( ~c_Predicate_Opred__comp(_u14267, _u14269, _u14271, _u14273, _u14275, _u14277, _u14279) | hBOOL(hAPP(hAPP(_u14275, skolem324(_u14279, _u14277, _u14275, _u14273)), _u14279)) )).
% 13.06/13.33 cnf(matrix-6334, plain, ( ~hBOOL(hAPP(hAPP(_u14274, _u14278), _u14259)) | ~hBOOL(hAPP(hAPP(_u14276, _u14259), _u14280)) | c_Predicate_Opred__comp(_u14268, _u14270, _u14272, _u14274, _u14276, _u14278, _u14280) )).
% 13.06/13.33 cnf(matrix-6335, plain, ( ~c_Wellfounded_Owf(_u14281, _u14282) | c_Wellfounded_Owf(tc_fun(_u14281, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u14281, _u14282)) )).
% 13.06/13.33 cnf(matrix-6336, plain, ( c_Wellfounded_Owf(tc_fun(_u14283, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u14283)) )).
% 13.06/13.33 cnf(matrix-6337, plain, ( ~c_Wellfounded_Owf(_u14288, _u14290) | hBOOL(hAPP(hAPP(c_member(_u14288), _u14284), c_Wellfounded_Oacc(_u14288, _u14290))) )).
% 13.06/13.33 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14289), skolem325(_u14291, _u14289)), c_Wellfounded_Oacc(_u14289, _u14291))) | c_Wellfounded_Owf(_u14289, _u14291) )).
% 13.06/13.33 cnf(matrix-6339, plain, ( ~c_Wellfounded_Owf(_u14292, _u14293) | hBOOL(hAPP(hAPP(c_member(_u14292), _u14294), c_Wellfounded_Oacc(_u14292, _u14293))) )).
% 13.06/13.33 cnf(matrix-6340, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u14295)) )).
% 13.06/13.33 cnf(matrix-6341, 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)))) )).
% 13.06/13.33 cnf(matrix-6342, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14296, _u14296, _u14296), _u14297), _u14297) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14296, _u14296), tc_HOL_Obool))) | c_Wellfounded_Owf(_u14296, _u14297) )).
% 13.06/13.33 cnf(matrix-6343, plain, ( ~c_Wellfounded_Owf(_u14301, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14301, _u14301), tc_HOL_Obool)), _u14303), _u14305)) | c_Wellfounded_Owf(_u14301, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14301, _u14301), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14301, _u14301), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14301, _u14301, _u14301), _u14303), _u14303)), hAPP(hAPP(c_Relation_Orel__comp(_u14301, _u14301, _u14301), _u14305), _u14303))), _u14305)) )).
% 13.06/13.33 cnf(matrix-6344, plain, ( ~c_Wellfounded_Owf(_u14302, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14302, _u14302), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14302, _u14302), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14302, _u14302, _u14302), _u14304), _u14304)), hAPP(hAPP(c_Relation_Orel__comp(_u14302, _u14302, _u14302), _u14306), _u14304))), _u14306)) | c_Wellfounded_Owf(_u14302, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14302, _u14302), tc_HOL_Obool)), _u14304), _u14306)) )).
% 13.06/13.33 cnf(matrix-6345, plain, ( ~c_Wellfounded_Owf(_u14313, _u14315) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14313), hAPP(_u14308, hAPP(c_Nat_OSuc, skolem326(_u14315, _u14313, _u14308)))), hAPP(_u14308, skolem326(_u14315, _u14313, _u14308)))), _u14315)) )).
% 13.06/13.33 cnf(matrix-6346, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14314), hAPP(skolem327(_u14316, _u14314), hAPP(c_Nat_OSuc, _u14309))), hAPP(skolem327(_u14316, _u14314), _u14309))), _u14316)) | c_Wellfounded_Owf(_u14314, _u14316) )).
% 13.06/13.33 cnf(matrix-6347, plain, ( ~c_Wellfounded_Owf(_u14317, _u14318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14317, tc_HOL_Obool)), _u14319), hAPP(c_Relation_OImage(_u14317, _u14317, _u14318), _u14319))) | ( _u14319 = c_Orderings_Obot__class_Obot(tc_fun(_u14317, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6348, plain, ( ~c_Wellfounded_Owf(_u14320, _u14321) | ~c_Wellfounded_Owf(_u14320, _u14322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14320, _u14320), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14320, _u14320, _u14320), _u14321), _u14322)), _u14321)) | c_Wellfounded_Owf(_u14320, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14320, _u14320), tc_HOL_Obool)), _u14321), _u14322)) )).
% 13.06/13.33 cnf(matrix-6349, plain, ( ~class_Orderings_Owellorder(_u14323) | c_Wellfounded_Owf(_u14323, hAPP(c_Set_OCollect(tc_prod(_u14323, _u14323)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14323, _u14323, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u14323)))) )).
% 13.06/13.33 cnf(matrix-6350, plain, ( ~c_FunDef_Oreduction__pair(_u14326, _u14328) | c_Wellfounded_Owf(_u14326, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328)) )).
% 13.06/13.33 cnf(matrix-6351, plain, ( ~c_FunDef_Oreduction__pair(_u14326, _u14328) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14326, _u14326, _u14326), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool), tc_fun(tc_prod(_u14326, _u14326), tc_HOL_Obool)), _u14328))) )).
% 13.06/13.33 cnf(matrix-6352, plain, ( ~c_Wellfounded_Owf(_u14327, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14327, _u14327, _u14327), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool), tc_fun(tc_prod(_u14327, _u14327), tc_HOL_Obool)), _u14329))) | c_FunDef_Oreduction__pair(_u14327, _u14329) )).
% 13.06/13.33 cnf(matrix-6353, plain, ( ~c_FunDef_Oreduction__pair(_u14330, _u14331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14332), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool), tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14333), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool), tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14331))) | ~c_Wellfounded_Owf(_u14330, _u14333) | c_Wellfounded_Owf(_u14330, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14330, _u14330), tc_HOL_Obool)), _u14332), _u14333)) )).
% 13.06/13.33 cnf(matrix-6354, plain, ( ~c_Wellfounded_Owf(_u14334, _u14335) | ~c_Fun_Oinj__on(_u14334, _u14336, _u14337, c_Orderings_Otop__class_Otop(tc_fun(_u14334, tc_HOL_Obool))) | c_Wellfounded_Owf(_u14336, hAPP(c_Set_Oimage(tc_prod(_u14334, _u14334), tc_prod(_u14336, _u14336), c_Product__Type_Omap__pair(_u14334, _u14336, _u14334, _u14336, _u14337, _u14337)), _u14335)) )).
% 13.06/13.33 cnf(matrix-6355, plain, ( ~c_Wellfounded_Owf(_u14338, _u14339) | c_Wellfounded_Owf(tc_List_Olist(_u14338), c_List_Olenlex(_u14338, _u14339)) )).
% 13.06/13.33 cnf(matrix-6356, plain, ( c_Wellfounded_Owf(_u14344, hAPP(c_Set_OCollect(tc_prod(_u14344, _u14344)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14344, _u14344, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(_u14344, tc_HOL_Obool), _u14344), hAPP(c_COMBS(_u14344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14344), c_fconj), _u14341))), hAPP(hAPP(c_COMBC(_u14344, tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), _u14344), c_COMBB(_u14344, tc_HOL_Obool, _u14344)), c_fequal)), _u14343))))) | hBOOL(hAPP(_u14341, skolem328(_u14344, _u14343, _u14342, _u14341))) )).
% 13.06/13.33 cnf(matrix-6357, plain, ( c_Wellfounded_Owf(_u14344, hAPP(c_Set_OCollect(tc_prod(_u14344, _u14344)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14344, _u14344, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(_u14344, tc_HOL_Obool), _u14344), hAPP(c_COMBS(_u14344, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14344), c_fconj), _u14341))), hAPP(hAPP(c_COMBC(_u14344, tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14344, tc_HOL_Obool), tc_fun(tc_fun(_u14344, _u14344), tc_fun(_u14344, tc_HOL_Obool)), _u14344), c_COMBB(_u14344, tc_HOL_Obool, _u14344)), c_fequal)), _u14343))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u14342, hAPP(_u14343, skolem328(_u14344, _u14343, _u14342, _u14341)))), hAPP(_u14342, skolem328(_u14344, _u14343, _u14342, _u14341)))) )).
% 13.06/13.33 cnf(matrix-6358, 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)))) )).
% 13.06/13.33 cnf(matrix-6359, plain, ( ~c_Wellfounded_Owf(_u14345, _u14346) | c_Wellfounded_Owf(tc_List_Olist(_u14345), c_List_Olex(_u14345, _u14346)) )).
% 13.06/13.33 cnf(matrix-6360, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 13.06/13.33 cnf(matrix-6361, plain, ( ( c_List_Olex(_u14347, _u14348) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u14347), tc_List_Olist(_u14347)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u14347, _u14348))) )).
% 13.06/13.33 cnf(matrix-6362, plain, ( ~c_Wellfounded_Owf(_u14349, _u14350) | c_Wellfounded_Owf(tc_List_Olist(_u14349), hAPP(c_List_Olexn(_u14349, _u14350), _u14351)) )).
% 13.06/13.33 cnf(matrix-6363, plain, ( ( hAPP(c_List_Olexn(_u14352, _u14353), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u14352), tc_List_Olist(_u14352)), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6364, plain, ( c_Wellfounded_Owf(tc_prod(_u14358, _u14356), c_Recdef_Osame__fst(_u14358, _u14356, _u14355, _u14357)) | hBOOL(hAPP(_u14355, skolem329(_u14358, _u14357, _u14356, _u14355))) )).
% 13.06/13.33 cnf(matrix-6365, plain, ( c_Wellfounded_Owf(tc_prod(_u14358, _u14356), c_Recdef_Osame__fst(_u14358, _u14356, _u14355, _u14357)) | ~c_Wellfounded_Owf(_u14356, hAPP(_u14357, skolem329(_u14358, _u14357, _u14356, _u14355))) )).
% 13.06/13.33 cnf(matrix-6366, plain, ( ( hAPP(c_Relation_ORange(_u14359, _u14360), hAPP(c_Set_OCollect(tc_prod(_u14359, _u14360)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14359, _u14360, tc_HOL_Obool), _u14361))) = hAPP(c_Set_OCollect(_u14360), hAPP(hAPP(c_COMBB(tc_fun(_u14359, tc_HOL_Obool), tc_HOL_Obool, _u14360), c_HOL_OEx(_u14359)), hAPP(c_COMBC(_u14359, _u14360, tc_HOL_Obool), _u14361)))) )).
% 13.06/13.33 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14363)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14363), _u14364), _u14365)), _u14366)) | hBOOL(hAPP(hAPP(c_member(_u14363), _u14365), hAPP(c_Relation_ORange(_u14362, _u14363), _u14366))) )).
% 13.06/13.33 cnf(matrix-6368, plain, ( ( hAPP(c_Relation_ORange(_u14367, _u14367), c_Relation_OId__on(_u14367, _u14368)) = _u14368) )).
% 13.06/13.33 cnf(matrix-6369, plain, ( ( hAPP(c_Relation_ORange(_u14372, _u14374), _u14376) != c_Orderings_Obot__class_Obot(tc_fun(_u14374, tc_HOL_Obool))) | ( _u14376 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14372, _u14374), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6370, plain, ( ( _u14377 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14373, _u14375), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u14373, _u14375), _u14377) = c_Orderings_Obot__class_Obot(tc_fun(_u14375, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6371, plain, ( ( hAPP(c_Relation_ORange(_u14378, _u14379), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14378, _u14379), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u14379, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6372, plain, ( ( hAPP(c_Relation_ORange(_u14380, _u14381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14380, _u14381), tc_HOL_Obool)), _u14382), _u14383)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14381, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14380, _u14381), _u14382)), hAPP(c_Relation_ORange(_u14380, _u14381), _u14383))) )).
% 13.06/13.33 cnf(matrix-6373, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14384, _u14385)), _u14386)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14385), hAPP(c_Relation_ORange(_u14384, _u14385), _u14386))) )).
% 13.06/13.33 cnf(matrix-6374, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u14387, _u14388), _u14388, c_Product__Type_Osnd(_u14387, _u14388)), _u14389) = hAPP(c_Relation_ORange(_u14387, _u14388), _u14389)) )).
% 13.06/13.33 cnf(matrix-6375, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14396), _u14398), hAPP(c_Relation_ORange(_u14400, _u14396), _u14402))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14400, _u14396)), hAPP(hAPP(c_Product__Type_OPair(_u14400, _u14396), skolem330(_u14402, _u14400, _u14398, _u14396)), _u14398)), _u14402)) )).
% 13.06/13.33 cnf(matrix-6376, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14401, _u14397)), hAPP(hAPP(c_Product__Type_OPair(_u14401, _u14397), _u14391), _u14399)), _u14403)) | hBOOL(hAPP(hAPP(c_member(_u14397), _u14399), hAPP(c_Relation_ORange(_u14401, _u14397), _u14403))) )).
% 13.06/13.33 cnf(matrix-6377, plain, ( ( hAPP(c_Relation_ORange(_u14404, _u14405), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14404, _u14405)), hAPP(hAPP(c_Product__Type_OPair(_u14404, _u14405), _u14406), _u14407)), _u14408)) = hAPP(hAPP(c_Set_Oinsert(_u14405), _u14407), hAPP(c_Relation_ORange(_u14404, _u14405), _u14408))) )).
% 13.06/13.33 cnf(matrix-6378, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14409, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14410, _u14409), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14410, _u14409), tc_HOL_Obool)), _u14411), _u14412))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14409, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14410, _u14409), _u14411)), hAPP(c_Relation_ORange(_u14410, _u14409), _u14412)))) )).
% 13.06/13.33 cnf(matrix-6379, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14413, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14413, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u14414, _u14413), _u14415)), hAPP(c_Relation_ORange(_u14414, _u14413), _u14416))), hAPP(c_Relation_ORange(_u14414, _u14413), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14414, _u14413), tc_HOL_Obool)), _u14415), _u14416)))) )).
% 13.06/13.33 cnf(matrix-6380, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u14421, _u14423, hAPP(hAPP(c_COMBC(_u14421, tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_fun(_u14423, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14423, tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_fun(_u14423, tc_HOL_Obool)), _u14421), c_COMBC(_u14423, tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14423, tc_prod(_u14421, _u14423)), tc_fun(_u14423, tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool)), _u14421), hAPP(c_COMBB(tc_prod(_u14421, _u14423), tc_fun(tc_fun(tc_prod(_u14421, _u14423), tc_HOL_Obool), tc_HOL_Obool), _u14423), c_member(tc_prod(_u14421, _u14423)))), c_Product__Type_OPair(_u14421, _u14423)))), _u14425)), _u14427)) | hBOOL(hAPP(hAPP(c_member(_u14423), _u14427), hAPP(c_Relation_ORange(_u14421, _u14423), _u14425))) )).
% 13.06/13.33 cnf(matrix-6381, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14424), _u14428), hAPP(c_Relation_ORange(_u14422, _u14424), _u14426))) | hBOOL(hAPP(c_Predicate_ORangeP(_u14422, _u14424, hAPP(hAPP(c_COMBC(_u14422, tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_fun(_u14424, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14424, tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_fun(_u14424, tc_HOL_Obool)), _u14422), c_COMBC(_u14424, tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14424, tc_prod(_u14422, _u14424)), tc_fun(_u14424, tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool)), _u14422), hAPP(c_COMBB(tc_prod(_u14422, _u14424), tc_fun(tc_fun(tc_prod(_u14422, _u14424), tc_HOL_Obool), tc_HOL_Obool), _u14424), c_member(tc_prod(_u14422, _u14424)))), c_Product__Type_OPair(_u14422, _u14424)))), _u14426)), _u14428)) )).
% 13.06/13.33 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14430), _u14431), hAPP(c_Relation_ORange(_u14432, _u14430), _u14433))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14432, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14432, _u14430), skolem331(_u14433, _u14432, _u14431, _u14430)), _u14431)), _u14433)) )).
% 13.06/13.33 cnf(matrix-6383, plain, ( ~hBOOL(hAPP(hAPP(_u14434, _u14435), _u14436)) | hBOOL(hAPP(c_Predicate_ORangeP(_u14437, _u14438, _u14434), _u14436)) )).
% 13.06/13.33 cnf(matrix-6384, plain, ( hBOOL(hAPP(hAPP(_u14449, skolem332(_u14451, _u14449)), _u14451)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u14445, _u14447, _u14449), _u14451)) )).
% 13.06/13.33 cnf(matrix-6385, plain, ( ~hBOOL(hAPP(hAPP(_u14450, _u14440), _u14452)) | hBOOL(hAPP(c_Predicate_ORangeP(_u14446, _u14448, _u14450), _u14452)) )).
% 13.06/13.33 cnf(matrix-6386, plain, ( ~c_Wellfounded_Owf(_u14453, _u14454) | ~c_Wellfounded_Owf(_u14453, _u14455) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14453, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14453, _u14453), _u14454)), hAPP(c_Relation_ORange(_u14453, _u14453), _u14455)) != c_Orderings_Obot__class_Obot(tc_fun(_u14453, tc_HOL_Obool))) | c_Wellfounded_Owf(_u14453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14453, _u14453), tc_HOL_Obool)), _u14454), _u14455)) )).
% 13.06/13.33 cnf(matrix-6387, plain, ( ~c_Wellfounded_OwfP(_u14458, _u14460) | c_Wellfounded_Owf(_u14458, hAPP(c_Set_OCollect(tc_prod(_u14458, _u14458)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14458, _u14458, tc_HOL_Obool), _u14460))) )).
% 13.06/13.33 cnf(matrix-6388, plain, ( ~c_Wellfounded_Owf(_u14459, hAPP(c_Set_OCollect(tc_prod(_u14459, _u14459)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14459, _u14459, tc_HOL_Obool), _u14461))) | c_Wellfounded_OwfP(_u14459, _u14461) )).
% 13.06/13.33 cnf(matrix-6389, plain, ( c_Wellfounded_OwfP(_u14462, hAPP(c_COMBK(tc_fun(_u14462, tc_HOL_Obool), _u14462), hAPP(c_COMBK(tc_HOL_Obool, _u14462), c_fFalse))) )).
% 13.06/13.33 cnf(matrix-6390, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14464)), hAPP(hAPP(c_Product__Type_OPair(_u14463, _u14464), _u14465), _u14466)), _u14467)) | hBOOL(hAPP(hAPP(c_member(_u14463), _u14465), hAPP(c_Relation_ODomain(_u14463, _u14464), _u14467))) )).
% 13.06/13.33 cnf(matrix-6391, plain, ( ~c_Wellfounded_OwfP(_u14472, _u14474) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14472, _u14474), _u14468)) )).
% 13.06/13.33 cnf(matrix-6392, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u14473, _u14475), skolem333(_u14475, _u14473))) | c_Wellfounded_OwfP(_u14473, _u14475) )).
% 13.06/13.33 cnf(matrix-6393, plain, ( ~c_Wellfounded_OwfP(_u14476, _u14477) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14476, _u14477), _u14478)) )).
% 13.06/13.33 cnf(matrix-6394, plain, ( ( hAPP(c_Relation_ODomain(_u14479, _u14479), c_Relation_OId__on(_u14479, _u14480)) = _u14480) )).
% 13.06/13.33 cnf(matrix-6395, plain, ( ~c_Wellfounded_OwfP(_u14481, _u14482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14481, tc_fun(_u14481, tc_HOL_Obool))), _u14483), _u14482)) | c_Wellfounded_OwfP(_u14481, _u14483) )).
% 13.06/13.33 cnf(matrix-6396, plain, ( ( hAPP(c_Relation_ODomain(_u14487, _u14489), _u14491) != c_Orderings_Obot__class_Obot(tc_fun(_u14487, tc_HOL_Obool))) | ( _u14491 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14487, _u14489), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6397, plain, ( ( _u14492 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14488, _u14490), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u14488, _u14490), _u14492) = c_Orderings_Obot__class_Obot(tc_fun(_u14488, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6398, plain, ( ( hAPP(c_Relation_ODomain(_u14493, _u14494), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14493, _u14494), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u14493, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14495, _u14496), tc_HOL_Obool)), _u14497), _u14498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14495, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14495, _u14496), _u14497)), hAPP(c_Relation_ODomain(_u14495, _u14496), _u14498))) )).
% 13.06/13.33 cnf(matrix-6400, plain, ( ( hAPP(c_Relation_ODomain(_u14499, _u14500), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14499, _u14500), tc_HOL_Obool)), _u14501), _u14502)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14499, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14499, _u14500), _u14501)), hAPP(c_Relation_ODomain(_u14499, _u14500), _u14502))) )).
% 13.06/13.33 cnf(matrix-6401, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14503, _u14504)), _u14505)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14503), hAPP(c_Relation_ODomain(_u14503, _u14504), _u14505))) )).
% 13.06/13.33 cnf(matrix-6402, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u14506, _u14507), _u14506, c_Product__Type_Ofst(_u14506, _u14507)), _u14508) = hAPP(c_Relation_ODomain(_u14506, _u14507), _u14508)) )).
% 13.06/13.33 cnf(matrix-6403, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14515), _u14517), hAPP(c_Relation_ODomain(_u14515, _u14519), _u14521))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14515, _u14519)), hAPP(hAPP(c_Product__Type_OPair(_u14515, _u14519), _u14517), skolem334(_u14521, _u14519, _u14517, _u14515))), _u14521)) )).
% 13.06/13.33 cnf(matrix-6404, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14516, _u14520)), hAPP(hAPP(c_Product__Type_OPair(_u14516, _u14520), _u14518), _u14510)), _u14522)) | hBOOL(hAPP(hAPP(c_member(_u14516), _u14518), hAPP(c_Relation_ODomain(_u14516, _u14520), _u14522))) )).
% 13.06/13.33 cnf(matrix-6405, plain, ( ( hAPP(c_Relation_ODomain(_u14523, _u14524), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14523, _u14524)), hAPP(hAPP(c_Product__Type_OPair(_u14523, _u14524), _u14525), _u14526)), _u14527)) = hAPP(hAPP(c_Set_Oinsert(_u14523), _u14525), hAPP(c_Relation_ODomain(_u14523, _u14524), _u14527))) )).
% 13.06/13.33 cnf(matrix-6406, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14528, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14528, _u14529), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14528, _u14529), tc_HOL_Obool)), _u14530), _u14531))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14528, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14528, _u14529), _u14530)), hAPP(c_Relation_ODomain(_u14528, _u14529), _u14531)))) )).
% 13.06/13.33 cnf(matrix-6407, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14532, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14532, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14532, _u14533), _u14534)), hAPP(c_Relation_ODomain(_u14532, _u14533), _u14535))), hAPP(c_Relation_ODomain(_u14532, _u14533), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14532, _u14533), tc_HOL_Obool)), _u14534), _u14535)))) )).
% 13.06/13.33 cnf(matrix-6408, plain, ( ( hAPP(c_Relation_OField(_u14536), _u14537) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14536, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u14536, _u14536), _u14537)), hAPP(c_Relation_ORange(_u14536, _u14536), _u14537))) )).
% 13.06/13.33 cnf(matrix-6409, plain, ( ~c_Wellfounded_Owf(_u14538, _u14539) | c_Wellfounded_OwfP(_u14538, c_FunDef_Oin__rel(_u14538, _u14538, _u14539)) )).
% 13.06/13.33 cnf(matrix-6410, plain, ( ~c_Wellfounded_OwfP(_u14542, hAPP(hAPP(c_COMBC(_u14542, tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_fun(_u14542, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14542, tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_fun(_u14542, tc_HOL_Obool)), _u14542), c_COMBC(_u14542, tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14542, tc_prod(_u14542, _u14542)), tc_fun(_u14542, tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool)), _u14542), hAPP(c_COMBB(tc_prod(_u14542, _u14542), tc_fun(tc_fun(tc_prod(_u14542, _u14542), tc_HOL_Obool), tc_HOL_Obool), _u14542), c_member(tc_prod(_u14542, _u14542)))), c_Product__Type_OPair(_u14542, _u14542)))), _u14544)) | c_Wellfounded_Owf(_u14542, _u14544) )).
% 13.06/13.33 cnf(matrix-6411, plain, ( ~c_Wellfounded_Owf(_u14543, _u14545) | c_Wellfounded_OwfP(_u14543, hAPP(hAPP(c_COMBC(_u14543, tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_fun(_u14543, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14543, tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_fun(_u14543, tc_HOL_Obool)), _u14543), c_COMBC(_u14543, tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14543, tc_prod(_u14543, _u14543)), tc_fun(_u14543, tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool)), _u14543), hAPP(c_COMBB(tc_prod(_u14543, _u14543), tc_fun(tc_fun(tc_prod(_u14543, _u14543), tc_HOL_Obool), tc_HOL_Obool), _u14543), c_member(tc_prod(_u14543, _u14543)))), c_Product__Type_OPair(_u14543, _u14543)))), _u14545)) )).
% 13.06/13.33 cnf(matrix-6412, plain, ( ( hAPP(c_Relation_ODomain(_u14546, _u14547), hAPP(c_Set_OCollect(tc_prod(_u14546, _u14547)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14546, _u14547, tc_HOL_Obool), _u14548))) = hAPP(c_Set_OCollect(_u14546), hAPP(hAPP(c_COMBB(tc_fun(_u14547, tc_HOL_Obool), tc_HOL_Obool, _u14546), c_HOL_OEx(_u14547)), _u14548))) )).
% 13.06/13.33 cnf(matrix-6413, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u14553, _u14555, hAPP(hAPP(c_COMBC(_u14553, tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_fun(_u14555, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14555, tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_fun(_u14555, tc_HOL_Obool)), _u14553), c_COMBC(_u14555, tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14555, tc_prod(_u14553, _u14555)), tc_fun(_u14555, tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool)), _u14553), hAPP(c_COMBB(tc_prod(_u14553, _u14555), tc_fun(tc_fun(tc_prod(_u14553, _u14555), tc_HOL_Obool), tc_HOL_Obool), _u14555), c_member(tc_prod(_u14553, _u14555)))), c_Product__Type_OPair(_u14553, _u14555)))), _u14557)), _u14559)) | hBOOL(hAPP(hAPP(c_member(_u14553), _u14559), hAPP(c_Relation_ODomain(_u14553, _u14555), _u14557))) )).
% 13.06/13.33 cnf(matrix-6414, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14554), _u14560), hAPP(c_Relation_ODomain(_u14554, _u14556), _u14558))) | hBOOL(hAPP(c_Predicate_ODomainP(_u14554, _u14556, hAPP(hAPP(c_COMBC(_u14554, tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_fun(_u14556, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14556, tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_fun(_u14556, tc_HOL_Obool)), _u14554), c_COMBC(_u14556, tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14556, tc_prod(_u14554, _u14556)), tc_fun(_u14556, tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool)), _u14554), hAPP(c_COMBB(tc_prod(_u14554, _u14556), tc_fun(tc_fun(tc_prod(_u14554, _u14556), tc_HOL_Obool), tc_HOL_Obool), _u14556), c_member(tc_prod(_u14554, _u14556)))), c_Product__Type_OPair(_u14554, _u14556)))), _u14558)), _u14560)) )).
% 13.06/13.33 cnf(matrix-6415, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14562), _u14563), hAPP(c_Relation_ODomain(_u14562, _u14564), _u14565))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14562, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14562, _u14564), _u14563), skolem335(_u14565, _u14564, _u14563, _u14562))), _u14565)) )).
% 13.06/13.33 cnf(matrix-6416, plain, ( ~hBOOL(hAPP(hAPP(_u14566, _u14567), _u14568)) | hBOOL(hAPP(c_Predicate_ODomainP(_u14569, _u14570, _u14566), _u14567)) )).
% 13.06/13.33 cnf(matrix-6417, plain, ( hBOOL(hAPP(hAPP(_u14581, _u14583), skolem336(_u14583, _u14581))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u14577, _u14579, _u14581), _u14583)) )).
% 13.06/13.33 cnf(matrix-6418, plain, ( ~hBOOL(hAPP(hAPP(_u14582, _u14584), _u14572)) | hBOOL(hAPP(c_Predicate_ODomainP(_u14578, _u14580, _u14582), _u14584)) )).
% 13.06/13.33 cnf(matrix-6419, plain, ( ~c_Wellfounded_OwfP(_u14585, _u14586) | c_Wellfounded_Oacyclic(_u14585, hAPP(c_Set_OCollect(tc_prod(_u14585, _u14585)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14585, _u14585, tc_HOL_Obool), _u14586))) )).
% 13.06/13.33 cnf(matrix-6420, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14588), _u14589)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14590), hAPP(c_Set_Oimage(_u14588, _u14590, _u14591), _u14589))) | hBOOL(hAPP(hAPP(c_member(_u14588), skolem337(_u14591, _u14590, _u14589, _u14588)), _u14589)) )).
% 13.06/13.33 cnf(matrix-6421, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14588), _u14589)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14590), hAPP(c_Set_Oimage(_u14588, _u14590, _u14591), _u14589))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14588), hAPP(c_Set_OCollect(_u14588), hAPP(hAPP(c_COMBS(_u14588, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14588), c_fconj), hAPP(hAPP(c_COMBC(_u14588, tc_fun(_u14588, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14588)), _u14589))), hAPP(hAPP(c_COMBC(_u14588, _u14590, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14590, tc_fun(_u14590, tc_HOL_Obool), _u14588), c_fequal), _u14591)), hAPP(_u14591, skolem337(_u14591, _u14590, _u14589, _u14588))))))) )).
% 13.06/13.33 cnf(matrix-6422, plain, ( ~c_Wellfounded_Owf(_u14592, _u14593) | c_Wellfounded_Oacyclic(_u14592, _u14593) )).
% 13.06/13.33 cnf(matrix-6423, plain, ( ~c_Wellfounded_Oacyclic(_u14594, _u14595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14594, _u14594), tc_HOL_Obool)), _u14596), _u14595)) | c_Wellfounded_Oacyclic(_u14594, _u14596) )).
% 13.06/13.33 cnf(matrix-6424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14597, _u14597)), _u14598)) | ~c_Wellfounded_Owf(_u14597, _u14598) | c_Wellfounded_Oacyclic(_u14597, _u14598) )).
% 13.06/13.33 cnf(matrix-6425, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14597, _u14597)), _u14598)) | ~c_Wellfounded_Oacyclic(_u14597, _u14598) | c_Wellfounded_Owf(_u14597, _u14598) )).
% 13.06/13.33 cnf(matrix-6426, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14599, _u14599)), _u14600)) | ~c_Wellfounded_Oacyclic(_u14599, _u14600) | c_Wellfounded_Owf(_u14599, _u14600) )).
% 13.06/13.33 cnf(matrix-6427, plain, ( ~c_Nitpick_Owf_H(_u14603, _u14605) | c_Wellfounded_Oacyclic(_u14603, _u14605) )).
% 13.06/13.33 cnf(matrix-6428, plain, ( ~c_Nitpick_Owf_H(_u14603, _u14605) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14603, _u14603)), _u14605)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 13.06/13.33 cnf(matrix-6429, plain, ( c_Nitpick_Owf_H(_u14604, _u14606) | ~c_Wellfounded_Oacyclic(_u14604, _u14606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14604, _u14604)), _u14606)) )).
% 13.06/13.33 cnf(matrix-6430, plain, ( c_Nitpick_Owf_H(_u14604, _u14606) | ~c_Wellfounded_Oacyclic(_u14604, _u14606) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 13.06/13.33 cnf(matrix-6431, plain, ( ~c_Relation_Orefl__on(_u14614, _u14616, _u14618) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), _u14607), _u14618)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14614, _u14614, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14614, tc_fun(_u14614, tc_HOL_Obool), tc_fun(_u14614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14614, tc_HOL_Obool), tc_fun(_u14614, tc_HOL_Obool)), _u14614), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14614)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14614), c_fconj), hAPP(hAPP(c_COMBC(_u14614, tc_fun(_u14614, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14614)), _u14616)))), hAPP(hAPP(c_COMBC(_u14614, tc_fun(_u14614, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14614)), _u14616))), _u14607)) )).
% 13.06/13.33 cnf(matrix-6432, plain, ( ~c_Relation_Orefl__on(_u14614, _u14616, _u14618) | ~hBOOL(hAPP(hAPP(c_member(_u14614), _u14608), _u14616)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14614, _u14614)), hAPP(hAPP(c_Product__Type_OPair(_u14614, _u14614), _u14608), _u14608)), _u14618)) )).
% 13.06/13.33 cnf(matrix-6433, plain, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), skolem338(_u14619, _u14617, _u14615)), _u14619)) | hBOOL(hAPP(hAPP(c_member(_u14615), skolem339(_u14619, _u14617, _u14615)), _u14617)) )).
% 13.06/13.33 cnf(matrix-6434, plain, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), skolem338(_u14619, _u14617, _u14615)), _u14619)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), hAPP(hAPP(c_Product__Type_OPair(_u14615, _u14615), skolem339(_u14619, _u14617, _u14615)), skolem339(_u14619, _u14617, _u14615))), _u14619)) )).
% 13.06/13.33 cnf(matrix-6435, plain, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14615, _u14615, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), _u14615), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14615)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14615), c_fconj), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617)))), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617))), skolem338(_u14619, _u14617, _u14615))) | hBOOL(hAPP(hAPP(c_member(_u14615), skolem339(_u14619, _u14617, _u14615)), _u14617)) )).
% 13.06/13.33 cnf(matrix-6436, plain, ( c_Relation_Orefl__on(_u14615, _u14617, _u14619) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14615, _u14615, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14615, tc_HOL_Obool), tc_fun(_u14615, tc_HOL_Obool)), _u14615), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14615)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14615), c_fconj), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617)))), hAPP(hAPP(c_COMBC(_u14615, tc_fun(_u14615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14615)), _u14617))), skolem338(_u14619, _u14617, _u14615))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14615, _u14615)), hAPP(hAPP(c_Product__Type_OPair(_u14615, _u14615), skolem339(_u14619, _u14617, _u14615)), skolem339(_u14619, _u14617, _u14615))), _u14619)) )).
% 13.06/13.33 cnf(matrix-6437, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14621), _u14620), c_Orderings_Obot__class_Obot(tc_fun(_u14621, tc_HOL_Obool)))) | hBOOL(hAPP(_u14622, _u14620)) )).
% 13.06/13.33 cnf(matrix-6438, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u14628, _u14630), _u14632)) | ~hBOOL(hAPP(hAPP(c_member(_u14628), _u14623), _u14632)) | hBOOL(hAPP(_u14630, _u14623)) )).
% 13.06/13.33 cnf(matrix-6439, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u14629, _u14631), _u14633)) | hBOOL(hAPP(hAPP(c_member(_u14629), skolem340(_u14633, _u14631, _u14629)), _u14633)) )).
% 13.06/13.33 cnf(matrix-6440, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u14629, _u14631), _u14633)) | ~hBOOL(hAPP(_u14631, skolem340(_u14633, _u14631, _u14629))) )).
% 13.06/13.33 cnf(matrix-6441, plain, ( ~c_Equiv__Relations_Ocongruent(_u14640, _u14642, _u14644, _u14646) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14640, _u14640)), _u14634), _u14644)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14640, _u14640, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14640, tc_fun(_u14640, _u14642), tc_fun(_u14640, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14642, tc_HOL_Obool), tc_fun(tc_fun(_u14640, _u14642), tc_fun(_u14640, tc_HOL_Obool)), _u14640), c_COMBB(_u14642, tc_HOL_Obool, _u14640)), hAPP(hAPP(c_COMBB(_u14642, tc_fun(_u14642, tc_HOL_Obool), _u14640), c_fequal), _u14646))), _u14646)), _u14634)) )).
% 13.06/13.33 cnf(matrix-6442, plain, ( c_Equiv__Relations_Ocongruent(_u14641, _u14643, _u14645, _u14647) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14641, _u14641)), skolem341(_u14647, _u14645, _u14643, _u14641)), _u14645)) )).
% 13.06/13.33 cnf(matrix-6443, plain, ( c_Equiv__Relations_Ocongruent(_u14641, _u14643, _u14645, _u14647) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14641, _u14641, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14641, tc_fun(_u14641, _u14643), tc_fun(_u14641, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14643, tc_HOL_Obool), tc_fun(tc_fun(_u14641, _u14643), tc_fun(_u14641, tc_HOL_Obool)), _u14641), c_COMBB(_u14643, tc_HOL_Obool, _u14641)), hAPP(hAPP(c_COMBB(_u14643, tc_fun(_u14643, tc_HOL_Obool), _u14641), c_fequal), _u14647))), _u14647)), skolem341(_u14647, _u14645, _u14643, _u14641))) )).
% 13.06/13.33 cnf(matrix-6444, plain, ( ( _u14649 = hAPP(c_Int_OAbs__Integ, skolem342(_u14649))) )).
% 13.06/13.33 cnf(matrix-6445, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem342(_u14649)), c_Int_OInteg)) )).
% 13.06/13.33 cnf(matrix-6446, plain, ( hBOOL(hAPP(_u14651, _u14652)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem343(_u14652, _u14651)), c_Int_OInteg)) )).
% 13.06/13.33 cnf(matrix-6447, plain, ( hBOOL(hAPP(_u14651, _u14652)) | ~hBOOL(hAPP(_u14651, hAPP(c_Int_OAbs__Integ, skolem343(_u14652, _u14651)))) )).
% 13.06/13.33 cnf(matrix-6448, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14655)), _u14654), _u14656)) | c_Hoare__Mirabelle_Otriple__valid(_u14655, _u14657, _u14654) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14655)), skolem344(_u14657, _u14656, _u14655)), _u14656)) )).
% 13.06/13.33 cnf(matrix-6449, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14655)), _u14654), _u14656)) | c_Hoare__Mirabelle_Otriple__valid(_u14655, _u14657, _u14654) | ~c_Hoare__Mirabelle_Otriple__valid(_u14655, hAPP(c_Nat_OSuc, _u14657), skolem344(_u14657, _u14656, _u14655)) )).
% 13.06/13.33 cnf(matrix-6450, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14667, _u14669, _u14671) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14667)), _u14659), _u14671)) | c_Hoare__Mirabelle_Otriple__valid(_u14667, _u14660, _u14659) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14667)), skolem345(_u14671, _u14669, _u14667, _u14660)), _u14669)) )).
% 13.06/13.33 cnf(matrix-6451, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14667, _u14669, _u14671) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14667)), _u14659), _u14671)) | c_Hoare__Mirabelle_Otriple__valid(_u14667, _u14660, _u14659) | ~c_Hoare__Mirabelle_Otriple__valid(_u14667, _u14660, skolem345(_u14671, _u14669, _u14667, _u14660)) )).
% 13.06/13.33 cnf(matrix-6452, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14668, _u14670, _u14672) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14668)), _u14661), _u14670)) | c_Hoare__Mirabelle_Otriple__valid(_u14668, skolem346(_u14672, _u14670, _u14668), _u14661) )).
% 13.06/13.33 cnf(matrix-6453, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14668, _u14670, _u14672) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14668)), skolem347(_u14672, _u14670, _u14668)), _u14672)) )).
% 13.06/13.33 cnf(matrix-6454, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14668, _u14670, _u14672) | ~c_Hoare__Mirabelle_Otriple__valid(_u14668, skolem346(_u14672, _u14670, _u14668), skolem347(_u14672, _u14670, _u14668)) )).
% 13.06/13.33 cnf(matrix-6455, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14674), _u14675)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14674, tc_fun(_u14676, tc_HOL_Obool)), _u14675), _u14677))) | hBOOL(hAPP(hAPP(c_member(_u14674), skolem348(_u14677, _u14676, _u14675, _u14674)), _u14675)) )).
% 13.06/13.33 cnf(matrix-6456, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14674), _u14675)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14674, tc_fun(_u14676, tc_HOL_Obool)), _u14675), _u14677))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14676), hAPP(_u14677, skolem348(_u14677, _u14676, _u14675, _u14674)))) )).
% 13.06/13.33 cnf(matrix-6457, 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)), _u14680), _u14679) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem349(_u14680, _u14679)), _u14679)) )).
% 13.06/13.33 cnf(matrix-6458, 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)), _u14680), _u14679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14680), skolem349(_u14680, _u14679))) )).
% 13.06/13.33 cnf(matrix-6459, plain, ( ~c_Wellfounded_OwfP(_u14684, hAPP(_u14685, skolem350(_u14686, _u14685, _u14684))) | c_Wellfounded_OwfP(_u14684, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14686, tc_fun(_u14684, tc_fun(_u14684, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14686, tc_HOL_Obool))), _u14685)) | ( hAPP(_u14685, skolem351(_u14686, _u14685, _u14684)) != hAPP(_u14685, skolem352(_u14686, _u14685, _u14684))) )).
% 13.06/13.33 cnf(matrix-6460, plain, ( ~c_Wellfounded_OwfP(_u14684, hAPP(_u14685, skolem350(_u14686, _u14685, _u14684))) | c_Wellfounded_OwfP(_u14684, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14686, tc_fun(_u14684, tc_fun(_u14684, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14686, tc_HOL_Obool))), _u14685)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14684, tc_HOL_Obool)), c_Predicate_ODomainP(_u14684, _u14684, hAPP(_u14685, skolem351(_u14686, _u14685, _u14684)))), c_Predicate_ORangeP(_u14684, _u14684, hAPP(_u14685, skolem352(_u14686, _u14685, _u14684)))) != c_Orderings_Obot__class_Obot(tc_fun(_u14684, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6461, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14688), c_Map_Odom(_u14688, _u14689, _u14690))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14688), c_Orderings_Otop__class_Otop(tc_fun(_u14688, tc_HOL_Obool)))) | ( hAPP(_u14690, skolem353(_u14690, _u14689, _u14688)) = c_Option_Ooption_ONone(_u14689)) )).
% 13.06/13.33 cnf(matrix-6462, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14693), _u14694), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, _u14696, tc_fun(_u14693, tc_HOL_Obool)), _u14697), _u14698))) | ( _u14698 = hAPP(hAPP(c_Product__Type_OPair(_u14695, _u14696), skolem354(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693)), skolem355(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693))) )).
% 13.06/13.33 cnf(matrix-6463, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14693), _u14694), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, _u14696, tc_fun(_u14693, tc_HOL_Obool)), _u14697), _u14698))) | hBOOL(hAPP(hAPP(c_member(_u14693), _u14694), hAPP(hAPP(_u14697, skolem354(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693)), skolem355(_u14698, _u14697, _u14696, _u14695, _u14694, _u14693)))) )).
% 13.06/13.33 cnf(matrix-6464, plain, ( hBOOL(hAPP(hAPP(c_member(_u14704), _u14705), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14702, _u14703, tc_fun(_u14704, tc_HOL_Obool)), _u14706), _u14701))) | ( _u14701 = hAPP(hAPP(c_Product__Type_OPair(_u14702, _u14703), skolem356(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701)), skolem357(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701))) )).
% 13.06/13.33 cnf(matrix-6465, plain, ( hBOOL(hAPP(hAPP(c_member(_u14704), _u14705), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14702, _u14703, tc_fun(_u14704, tc_HOL_Obool)), _u14706), _u14701))) | ~hBOOL(hAPP(hAPP(c_member(_u14704), _u14705), hAPP(hAPP(_u14706, skolem356(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701)), skolem357(_u14706, _u14705, _u14704, _u14703, _u14702, _u14701)))) )).
% 13.06/13.33 cnf(matrix-6466, plain, ( ( hAPP(c_Set_Ovimage(_u14707, tc_prod(_u14708, _u14709), _u14710), hAPP(hAPP(c_Product__Type_OSigma(_u14708, _u14709), _u14711), hAPP(c_COMBK(tc_fun(_u14709, tc_HOL_Obool), _u14708), _u14712))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14707, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u14707, _u14708, hAPP(c_Fun_Ocomp(tc_prod(_u14708, _u14709), _u14708, _u14707, c_Product__Type_Ofst(_u14708, _u14709)), _u14710)), _u14711)), hAPP(c_Set_Ovimage(_u14707, _u14709, hAPP(c_Fun_Ocomp(tc_prod(_u14708, _u14709), _u14709, _u14707, c_Product__Type_Osnd(_u14708, _u14709)), _u14710)), _u14712))) )).
% 13.06/13.33 cnf(matrix-6467, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14714, tc_Nat_Onat), _u14715), _u14716) != hAPP(c_Nat_OSuc, _u14717)) | hBOOL(hAPP(hAPP(c_member(_u14714), skolem358(_u14717, _u14716, _u14715, _u14714)), _u14716)) )).
% 13.06/13.33 cnf(matrix-6468, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14714, tc_Nat_Onat), _u14715), _u14716) != hAPP(c_Nat_OSuc, _u14717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14715, skolem358(_u14717, _u14716, _u14715, _u14714)))) )).
% 13.06/13.33 cnf(matrix-6469, plain, ( ( hAPP(c_Fun_Ocomp(_u14718, _u14719, _u14718, _u14720), c_Fun_Oid(_u14718)) = _u14720) )).
% 13.06/13.33 cnf(matrix-6470, plain, ( ( hAPP(c_Fun_Ocomp(_u14721, _u14721, _u14722, c_Fun_Oid(_u14721)), _u14723) = _u14723) )).
% 13.06/13.33 cnf(matrix-6471, plain, ( ( hAPP(_u14727, hAPP(_u14728, _u14730)) = hAPP(_u14729, _u14730)) | ( hAPP(c_Fun_Ocomp(_u14724, _u14725, _u14726, _u14727), _u14728) != hAPP(c_Fun_Ocomp(_u14725, _u14725, _u14726, c_Fun_Oid(_u14725)), _u14729)) )).
% 13.06/13.33 cnf(matrix-6472, plain, ( ( hAPP(c_Set_Oimage(_u14731, _u14732, hAPP(c_Fun_Ocomp(_u14733, _u14732, _u14731, _u14734), _u14735)), _u14736) = hAPP(c_Set_Oimage(_u14733, _u14732, _u14734), hAPP(c_Set_Oimage(_u14731, _u14733, _u14735), _u14736))) )).
% 13.06/13.33 cnf(matrix-6473, plain, ( ( hAPP(c_Set_Oimage(_u14737, _u14738, _u14739), c_Orderings_Otop__class_Otop(tc_fun(_u14737, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14738, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14738, _u14740, _u14741), c_Orderings_Otop__class_Otop(tc_fun(_u14738, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u14740, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u14737, _u14740, hAPP(c_Fun_Ocomp(_u14738, _u14740, _u14737, _u14741), _u14739)), c_Orderings_Otop__class_Otop(tc_fun(_u14737, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u14740, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6474, plain, ( ( hAPP(c_Set_Ovimage(_u14742, _u14743, hAPP(c_Fun_Ocomp(_u14744, _u14743, _u14742, _u14745), _u14746)), _u14747) = hAPP(c_Set_Ovimage(_u14742, _u14744, _u14746), hAPP(c_Set_Ovimage(_u14744, _u14743, _u14745), _u14747))) )).
% 13.06/13.33 cnf(matrix-6475, plain, ( ( hAPP(c_Fun_Ocomp(_u14748, _u14749, _u14750, _u14751), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14750, _u14748), _u14752), _u14753), _u14754)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14750, _u14749), hAPP(c_Fun_Ocomp(_u14748, _u14749, _u14750, _u14751), _u14752)), _u14753), hAPP(_u14751, _u14754))) )).
% 13.06/13.33 cnf(matrix-6476, plain, ( ( hAPP(c_Product__Type_Oapfst(_u14755, _u14756, _u14757, _u14758), hAPP(c_Product__Type_Oapfst(_u14759, _u14755, _u14757, _u14760), _u14761)) = hAPP(c_Product__Type_Oapfst(_u14759, _u14756, _u14757, hAPP(c_Fun_Ocomp(_u14755, _u14756, _u14759, _u14758), _u14760)), _u14761)) )).
% 13.06/13.33 cnf(matrix-6477, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u14762, _u14763, _u14764, _u14765), hAPP(c_Product__Type_Oapsnd(_u14766, _u14762, _u14764, _u14767), _u14768)) = hAPP(c_Product__Type_Oapsnd(_u14766, _u14763, _u14764, hAPP(c_Fun_Ocomp(_u14762, _u14763, _u14766, _u14765), _u14767)), _u14768)) )).
% 13.06/13.33 cnf(matrix-6478, plain, ( ( hAPP(_u14769, hAPP(_u14770, _u14771)) != hAPP(_u14772, hAPP(_u14773, _u14774))) | ( hAPP(hAPP(c_Fun_Ocomp(_u14775, _u14776, _u14777, _u14769), _u14770), _u14771) = hAPP(hAPP(c_Fun_Ocomp(_u14778, _u14776, _u14779, _u14772), _u14773), _u14774)) )).
% 13.06/13.33 cnf(matrix-6479, plain, ( ( hAPP(_u14784, hAPP(_u14785, _u14780)) = hAPP(_u14787, hAPP(_u14788, _u14780))) | ( hAPP(c_Fun_Ocomp(_u14781, _u14782, _u14783, _u14784), _u14785) != hAPP(c_Fun_Ocomp(_u14786, _u14782, _u14783, _u14787), _u14788)) )).
% 13.06/13.33 cnf(matrix-6480, plain, ( ( hAPP(_u14792, hAPP(_u14793, _u14797)) = hAPP(_u14795, hAPP(_u14796, _u14797))) | ( hAPP(c_Fun_Ocomp(_u14789, _u14790, _u14791, _u14792), _u14793) != hAPP(c_Fun_Ocomp(_u14794, _u14790, _u14791, _u14795), _u14796)) )).
% 13.06/13.33 cnf(matrix-6481, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u14798, _u14799, _u14800, _u14801), _u14802), _u14803) = hAPP(_u14801, hAPP(_u14802, _u14803))) )).
% 13.06/13.33 cnf(matrix-6482, plain, ( ( hAPP(c_Fun_Ocomp(_u14804, _u14805, _u14806, _u14807), hAPP(c_Fun_Ocomp(_u14808, _u14804, _u14806, _u14809), _u14810)) = hAPP(c_Fun_Ocomp(_u14808, _u14805, _u14806, hAPP(c_Fun_Ocomp(_u14804, _u14805, _u14808, _u14807), _u14809)), _u14810)) )).
% 13.06/13.33 cnf(matrix-6483, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u14811, _u14812, _u14813, _u14814), _u14815), _u14816) = hAPP(_u14814, hAPP(_u14815, _u14816))) )).
% 13.06/13.33 cnf(matrix-6484, plain, ( ( hAPP(_u14820, hAPP(_u14821, _u14823)) = hAPP(_u14822, _u14823)) | ( hAPP(c_Fun_Ocomp(_u14817, _u14818, _u14819, _u14820), _u14821) != _u14822) )).
% 13.06/13.33 cnf(matrix-6485, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u14824, _u14825, _u14826, hAPP(c_COMBK(_u14825, _u14824), _u14827)), _u14828), _u14829) = _u14827) )).
% 13.06/13.33 cnf(matrix-6486, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14830, _u14831), tc_prod(_u14832, _u14833), tc_prod(_u14834, _u14835), c_Product__Type_Omap__pair(_u14830, _u14832, _u14831, _u14833, _u14836, _u14837)), c_Product__Type_Omap__pair(_u14834, _u14830, _u14835, _u14831, _u14838, _u14839)) = c_Product__Type_Omap__pair(_u14834, _u14832, _u14835, _u14833, hAPP(c_Fun_Ocomp(_u14830, _u14832, _u14834, _u14836), _u14838), hAPP(c_Fun_Ocomp(_u14831, _u14833, _u14835, _u14837), _u14839))) )).
% 13.06/13.33 cnf(matrix-6487, plain, ( ( c_Product__Type_Omap__pair(_u14840, _u14841, _u14842, _u14843, hAPP(c_Fun_Ocomp(_u14844, _u14841, _u14840, _u14845), _u14846), hAPP(c_Fun_Ocomp(_u14847, _u14843, _u14842, _u14848), _u14849)) = hAPP(c_Fun_Ocomp(tc_prod(_u14844, _u14847), tc_prod(_u14841, _u14843), tc_prod(_u14840, _u14842), c_Product__Type_Omap__pair(_u14844, _u14841, _u14847, _u14843, _u14845, _u14848)), c_Product__Type_Omap__pair(_u14840, _u14844, _u14842, _u14847, _u14846, _u14849))) )).
% 13.06/13.33 cnf(matrix-6488, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u14850, _u14851, _u14852, _u14853, _u14854, _u14855), hAPP(c_Product__Type_Omap__pair(_u14856, _u14850, _u14857, _u14852, _u14858, _u14859), _u14860)) = hAPP(c_Product__Type_Omap__pair(_u14856, _u14851, _u14857, _u14853, hAPP(c_Fun_Ocomp(_u14850, _u14851, _u14856, _u14854), _u14858), hAPP(c_Fun_Ocomp(_u14852, _u14853, _u14857, _u14855), _u14859)), _u14860)) )).
% 13.06/13.33 cnf(matrix-6489, plain, ( ( hAPP(c_Fun_Ocomp(_u14862, _u14862, _u14862, hAPP(_u14863, _u14864)), hAPP(_u14863, _u14864)) = hAPP(_u14863, _u14864)) | ~c_Finite__Set_Ofun__left__comm__idem(_u14861, _u14862, _u14863) )).
% 13.06/13.33 cnf(matrix-6490, plain, ( ~c_Fun_Oinj__on(_u14865, _u14866, _u14867, _u14868) | ~c_Fun_Oinj__on(_u14866, _u14869, _u14870, hAPP(c_Set_Oimage(_u14865, _u14866, _u14867), _u14868)) | c_Fun_Oinj__on(_u14865, _u14869, hAPP(c_Fun_Ocomp(_u14866, _u14869, _u14865, _u14870), _u14867), _u14868) )).
% 13.06/13.33 cnf(matrix-6491, plain, ( ~c_Fun_Oinj__on(_u14865, _u14866, _u14867, _u14868) | ~c_Fun_Oinj__on(_u14865, _u14869, hAPP(c_Fun_Ocomp(_u14866, _u14869, _u14865, _u14870), _u14867), _u14868) | c_Fun_Oinj__on(_u14866, _u14869, _u14870, hAPP(c_Set_Oimage(_u14865, _u14866, _u14867), _u14868)) )).
% 13.06/13.33 cnf(matrix-6492, plain, ( ~c_Fun_Oinj__on(_u14871, _u14872, _u14873, _u14874) | ~c_Fun_Oinj__on(_u14872, _u14875, _u14876, hAPP(c_Set_Oimage(_u14871, _u14872, _u14873), _u14874)) | c_Fun_Oinj__on(_u14871, _u14875, hAPP(c_Fun_Ocomp(_u14872, _u14875, _u14871, _u14876), _u14873), _u14874) )).
% 13.06/13.33 cnf(matrix-6493, plain, ( ~c_Fun_Oinj__on(_u14877, _u14878, hAPP(c_Fun_Ocomp(_u14879, _u14878, _u14877, _u14880), _u14881), _u14882) | c_Fun_Oinj__on(_u14879, _u14878, _u14880, hAPP(c_Set_Oimage(_u14877, _u14879, _u14881), _u14882)) )).
% 13.06/13.33 cnf(matrix-6494, plain, ( ~c_Fun_Oinj__on(_u14883, _u14884, hAPP(c_Fun_Ocomp(_u14885, _u14884, _u14883, _u14886), _u14887), _u14888) | c_Fun_Oinj__on(_u14883, _u14885, _u14887, _u14888) )).
% 13.06/13.33 cnf(matrix-6495, plain, ( ~c_Fun_Oinj__on(_u14889, _u14890, _u14891, c_Orderings_Otop__class_Otop(tc_fun(_u14889, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u14892, _u14889, _u14893, c_Orderings_Otop__class_Otop(tc_fun(_u14892, tc_HOL_Obool))) | c_Fun_Oinj__on(_u14892, _u14890, hAPP(c_Fun_Ocomp(_u14889, _u14890, _u14892, _u14891), _u14893), c_Orderings_Otop__class_Otop(tc_fun(_u14892, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6496, plain, ( ~class_Groups_Ocomm__monoid__add(_u14894) | ~c_Fun_Oinj__on(_u14895, _u14896, _u14897, _u14898) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14896, _u14894), _u14899), hAPP(c_Set_Oimage(_u14895, _u14896, _u14897), _u14898)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14895, _u14894), hAPP(c_Fun_Ocomp(_u14896, _u14894, _u14895, _u14899), _u14897)), _u14898)) )).
% 13.06/13.33 cnf(matrix-6497, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14900) | ~c_Fun_Oinj__on(_u14901, _u14902, _u14903, _u14904) | ( _u14905 != hAPP(c_Set_Oimage(_u14901, _u14902, _u14903), _u14904)) | ( _u14906 != hAPP(c_Fun_Ocomp(_u14902, _u14900, _u14901, _u14907), _u14903)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14902, _u14900), _u14907), _u14905) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14901, _u14900), _u14906), _u14904)) )).
% 13.06/13.33 cnf(matrix-6498, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14908) | ~c_Fun_Oinj__on(_u14909, _u14910, _u14911, _u14912) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14910, _u14908), _u14913), hAPP(c_Set_Oimage(_u14909, _u14910, _u14911), _u14912)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14909, _u14908), hAPP(c_Fun_Ocomp(_u14910, _u14908, _u14909, _u14913), _u14911)), _u14912)) )).
% 13.06/13.33 cnf(matrix-6499, plain, ( ~class_Groups_Ocomm__monoid__add(_u14914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14915), _u14916)) | ~c_Fun_Oinj__on(_u14915, _u14915, _u14917, _u14916) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14915, _u14914), _u14918), hAPP(c_Set_Oimage(_u14915, _u14915, _u14917), _u14916)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14915, _u14914), hAPP(c_Fun_Ocomp(_u14915, _u14914, _u14915, _u14918), _u14917)), _u14916)) )).
% 13.06/13.33 cnf(matrix-6500, plain, ( ~class_Groups_Ocomm__monoid__mult(_u14919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14920), _u14921)) | ~c_Fun_Oinj__on(_u14920, _u14920, _u14922, _u14921) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14920, _u14919), _u14923), hAPP(c_Set_Oimage(_u14920, _u14920, _u14922), _u14921)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u14920, _u14919), hAPP(c_Fun_Ocomp(_u14920, _u14919, _u14920, _u14923), _u14922)), _u14921)) )).
% 13.06/13.33 cnf(matrix-6501, plain, ( ~c_Fun_Oinj__on(_u14924, _u14925, _u14926, hAPP(c_Set_Oimage(_u14927, _u14924, _u14928), _u14929)) | ~c_Fun_Oinj__on(_u14927, _u14924, _u14928, _u14929) | ~hBOOL(hAPP(hAPP(c_member(_u14925), _u14930), hAPP(c_Set_Oimage(_u14924, _u14925, _u14926), hAPP(c_Set_Oimage(_u14927, _u14924, _u14928), _u14929)))) | ( hAPP(c_Fun_Othe__inv__into(_u14927, _u14925, _u14929, hAPP(c_Fun_Ocomp(_u14924, _u14925, _u14927, _u14926), _u14928)), _u14930) = hAPP(hAPP(c_Fun_Ocomp(_u14924, _u14927, _u14925, c_Fun_Othe__inv__into(_u14927, _u14924, _u14929, _u14928)), c_Fun_Othe__inv__into(_u14924, _u14925, hAPP(c_Set_Oimage(_u14927, _u14924, _u14928), _u14929), _u14926)), _u14930)) )).
% 13.06/13.33 cnf(matrix-6502, plain, ( ~class_Groups_Oab__semigroup__mult(_u14931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14932), _u14933)) | ~c_Fun_Oinj__on(_u14932, _u14934, _u14935, _u14933) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14931, _u14934, c_Groups_Otimes__class_Otimes(_u14931)), _u14936), _u14937), hAPP(c_Set_Oimage(_u14932, _u14934, _u14935), _u14933)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u14931, _u14932, c_Groups_Otimes__class_Otimes(_u14931)), hAPP(c_Fun_Ocomp(_u14934, _u14931, _u14932, _u14936), _u14935)), _u14937), _u14933)) )).
% 13.06/13.33 cnf(matrix-6503, plain, ( ( c_Nitpick_Odenom(_u14938) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14938, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14938))) )).
% 13.06/13.33 cnf(matrix-6504, plain, ( ( c_Nitpick_Onum(_u14939) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14939, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14939))) )).
% 13.06/13.33 cnf(matrix-6505, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14940, tc_fun(_u14941, tc_HOL_Obool)), _u14942), hAPP(c_Fun_Ocomp(_u14943, tc_fun(_u14941, tc_HOL_Obool), _u14940, _u14944), _u14945)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14943, tc_fun(_u14941, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14940, _u14943, _u14945), _u14942)), _u14944)) )).
% 13.06/13.33 cnf(matrix-6506, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14946, _u14947), _u14947, tc_prod(_u14948, _u14949), c_Product__Type_Osnd(_u14946, _u14947)), c_Product__Type_Omap__pair(_u14948, _u14946, _u14949, _u14947, _u14950, _u14951)) = hAPP(c_Fun_Ocomp(_u14949, _u14947, tc_prod(_u14948, _u14949), _u14951), c_Product__Type_Osnd(_u14948, _u14949))) )).
% 13.06/13.33 cnf(matrix-6507, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u14952, _u14953), _u14952, tc_prod(_u14954, _u14955), c_Product__Type_Ofst(_u14952, _u14953)), c_Product__Type_Omap__pair(_u14954, _u14952, _u14955, _u14953, _u14956, _u14957)) = hAPP(c_Fun_Ocomp(_u14954, _u14952, tc_prod(_u14954, _u14955), _u14956), c_Product__Type_Ofst(_u14954, _u14955))) )).
% 13.06/13.33 cnf(matrix-6508, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14958, _u14959, _u14960), hAPP(c_Fun_Ocomp(_u14961, tc_fun(_u14959, _u14960), _u14958, _u14962), _u14963)), _u14964) = hAPP(hAPP(_u14962, hAPP(_u14963, hAPP(c_Product__Type_Ofst(_u14958, _u14959), _u14964))), hAPP(c_Product__Type_Osnd(_u14958, _u14959), _u14964))) )).
% 13.06/13.33 cnf(matrix-6509, 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)) )).
% 13.06/13.33 cnf(matrix-6510, 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)) )).
% 13.06/13.33 cnf(matrix-6511, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14965, _u14966, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14965)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14965), c_Hoare__Mirabelle_Opeek__and(_u14965, _u14967, _u14968)), _u14969), _u14967)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14965), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__valids(_u14965, _u14966, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14965)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14965), _u14967), c_Com_Ocom_OWhile(_u14968, _u14969)), c_Hoare__Mirabelle_Opeek__and(_u14965, _u14967, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u14968)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14965), tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6512, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u14970, _u14971, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14970)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14970), c_Hoare__Mirabelle_Opeek__and(_u14970, _u14972, _u14973)), _u14974), _u14975)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14970), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u14970, _u14971, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14970)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14970), c_Hoare__Mirabelle_Opeek__and(_u14970, _u14972, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u14973))), _u14976), _u14975)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14970), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u14970, _u14971, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14970)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14970), _u14972), c_Com_Ocom_OCond(_u14973, _u14974, _u14976)), _u14975)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14970), tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6513, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14982, _u14984, _u14986), _u14988), _u14990)) | hBOOL(hAPP(hAPP(_u14984, _u14988), _u14990)) )).
% 13.06/13.33 cnf(matrix-6514, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14982, _u14984, _u14986), _u14988), _u14990)) | hBOOL(hAPP(_u14986, _u14990)) )).
% 13.06/13.33 cnf(matrix-6515, plain, ( ~hBOOL(hAPP(hAPP(_u14985, _u14989), _u14991)) | ~hBOOL(hAPP(_u14987, _u14991)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u14983, _u14985, _u14987), _u14989), _u14991)) )).
% 13.06/13.33 cnf(matrix-6516, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u14992, _u14993, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14992)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14992), c_Hoare__Mirabelle_Opeek__and(_u14992, _u14994, _u14995)), _u14996), _u14994)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14992), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u14992, _u14993, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u14992)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u14992), _u14994), c_Com_Ocom_OWhile(_u14995, _u14996)), c_Hoare__Mirabelle_Opeek__and(_u14992, _u14994, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u14995)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u14992), tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6517, plain, ( ~c_Finite__Set_Ofolding(_u14997, _u14998, _u14999, _u15000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14997), _u15001)) | ~hBOOL(hAPP(hAPP(c_member(_u14997), _u15002), _u15001)) | ( hAPP(_u15000, _u15001) = hAPP(c_Fun_Ocomp(_u14998, _u14998, _u14998, hAPP(_u15000, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14997, tc_HOL_Obool)), _u15001), hAPP(hAPP(c_Set_Oinsert(_u14997), _u15002), c_Orderings_Obot__class_Obot(tc_fun(_u14997, tc_HOL_Obool)))))), hAPP(_u14999, _u15002))) )).
% 13.06/13.33 cnf(matrix-6518, plain, ( ~c_Finite__Set_Ofolding__image(_u15003, _u15004, _u15005, _u15006, _u15007) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15004), _u15008)) | ~c_Fun_Oinj__on(_u15004, _u15004, _u15009, _u15008) | ( hAPP(hAPP(_u15007, _u15010), hAPP(c_Set_Oimage(_u15004, _u15004, _u15009), _u15008)) = hAPP(hAPP(_u15007, hAPP(c_Fun_Ocomp(_u15004, _u15003, _u15004, _u15010), _u15009)), _u15008)) )).
% 13.06/13.33 cnf(matrix-6519, plain, ( ( hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15016)), hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15017)), _u15018)) = hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15017)), hAPP(c_Fun_Ocomp(_u15012, _u15012, _u15015, hAPP(_u15013, _u15016)), _u15018))) | ~c_Finite__Set_Ofolding(_u15011, _u15012, _u15013, _u15014) )).
% 13.06/13.33 cnf(matrix-6520, plain, ( ( hAPP(c_Fun_Ocomp(_u15020, _u15020, _u15020, hAPP(_u15021, _u15023)), hAPP(_u15021, _u15024)) = hAPP(c_Fun_Ocomp(_u15020, _u15020, _u15020, hAPP(_u15021, _u15024)), hAPP(_u15021, _u15023))) | ~c_Finite__Set_Ofolding(_u15019, _u15020, _u15021, _u15022) )).
% 13.06/13.33 cnf(matrix-6521, plain, ( ~c_Finite__Set_Ofolding(_u15025, _u15026, _u15027, _u15028) | ( hAPP(c_Fun_Ocomp(_u15029, _u15030, _u15031, _u15032), hAPP(c_Fun_Ocomp(_u15033, _u15029, _u15031, _u15034), _u15035)) = hAPP(c_Fun_Ocomp(_u15033, _u15030, _u15031, hAPP(c_Fun_Ocomp(_u15029, _u15030, _u15033, _u15032), _u15034)), _u15035)) )).
% 13.06/13.33 cnf(matrix-6522, plain, ( ~c_Finite__Set_Ofolding__image(_u15036, _u15037, _u15038, _u15039, _u15040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15037), _u15041)) | ( hAPP(hAPP(_u15040, hAPP(hAPP(c_COMBS(_u15037, _u15036, _u15036), hAPP(hAPP(c_COMBB(_u15036, tc_fun(_u15036, _u15036), _u15037), _u15038), _u15042)), _u15043)), _u15041) = hAPP(hAPP(_u15038, hAPP(hAPP(_u15040, _u15042), _u15041)), hAPP(hAPP(_u15040, _u15043), _u15041))) )).
% 13.06/13.33 cnf(matrix-6523, plain, ( ~c_Finite__Set_Ofolding(_u15044, _u15045, _u15046, _u15047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15044), _u15048)) | ( hAPP(c_Fun_Ocomp(_u15045, _u15045, _u15045, hAPP(_u15046, _u15049)), hAPP(_u15047, _u15048)) = hAPP(c_Fun_Ocomp(_u15045, _u15045, _u15045, hAPP(_u15047, _u15048)), hAPP(_u15046, _u15049))) )).
% 13.06/13.33 cnf(matrix-6524, plain, ( ~c_Finite__Set_Ofolding(_u15050, _u15051, _u15052, _u15053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15050), _u15054)) | ( hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15052, _u15056)), hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15053, _u15054)), _u15057)) = hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15053, _u15054)), hAPP(c_Fun_Ocomp(_u15051, _u15051, _u15055, hAPP(_u15052, _u15056)), _u15057))) )).
% 13.06/13.33 cnf(matrix-6525, plain, ( ~c_Finite__Set_Ofolding(_u15058, _u15059, _u15060, _u15061) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15058), _u15062)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15058), _u15063)) | ( hAPP(c_Fun_Ocomp(_u15059, _u15059, _u15059, hAPP(_u15061, _u15063)), hAPP(_u15061, _u15062)) = hAPP(c_Fun_Ocomp(_u15059, _u15059, _u15059, hAPP(_u15061, _u15062)), hAPP(_u15061, _u15063))) )).
% 13.06/13.33 cnf(matrix-6526, plain, ( ~c_Finite__Set_Ofolding(_u15064, _u15065, _u15066, _u15067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15064), _u15068)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15064), _u15069)) | ( hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15069)), hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15068)), _u15071)) = hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15068)), hAPP(c_Fun_Ocomp(_u15065, _u15065, _u15070, hAPP(_u15067, _u15069)), _u15071))) )).
% 13.06/13.33 cnf(matrix-6527, plain, ( ~c_Finite__Set_Ofolding(_u15072, _u15073, _u15074, _u15075) | ( hAPP(_u15075, c_Orderings_Obot__class_Obot(tc_fun(_u15072, tc_HOL_Obool))) = c_Fun_Oid(_u15073)) )).
% 13.06/13.33 cnf(matrix-6528, plain, ( ~c_Finite__Set_Ofolding__image(_u15076, _u15077, _u15078, _u15079, _u15080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15077), _u15081)) | ( hAPP(hAPP(_u15080, _u15082), _u15081) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15076, _u15077, _u15078), _u15082), _u15079), _u15081)) )).
% 13.06/13.33 cnf(matrix-6529, plain, ( ~c_Finite__Set_Ofolding(_u15083, _u15084, _u15085, _u15086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15087)) | hBOOL(hAPP(hAPP(c_member(_u15083), _u15088), _u15087)) | ( hAPP(_u15086, hAPP(hAPP(c_Set_Oinsert(_u15083), _u15088), _u15087)) = hAPP(c_Fun_Ocomp(_u15084, _u15084, _u15084, hAPP(_u15086, _u15087)), hAPP(_u15085, _u15088))) )).
% 13.06/13.33 cnf(matrix-6530, plain, ( ~c_Finite__Set_Ofolding(_u15089, _u15090, _u15091, _u15092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15089), _u15093)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15089), _u15094)) | ( hAPP(c_Fun_Ocomp(_u15090, _u15090, _u15090, hAPP(_u15092, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15089, tc_HOL_Obool)), _u15093), _u15094))), hAPP(_u15092, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15089, tc_HOL_Obool)), _u15093), _u15094))) = hAPP(c_Fun_Ocomp(_u15090, _u15090, _u15090, hAPP(_u15092, _u15093)), hAPP(_u15092, _u15094))) )).
% 13.06/13.33 cnf(matrix-6531, plain, ( ~c_Finite__Set_Ofolding(_u15095, _u15096, _u15097, _u15098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15095), _u15099)) | ( hAPP(_u15098, hAPP(hAPP(c_Set_Oinsert(_u15095), _u15100), _u15099)) = hAPP(c_Fun_Ocomp(_u15096, _u15096, _u15096, hAPP(_u15098, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15095, tc_HOL_Obool)), _u15099), hAPP(hAPP(c_Set_Oinsert(_u15095), _u15100), c_Orderings_Obot__class_Obot(tc_fun(_u15095, tc_HOL_Obool)))))), hAPP(_u15097, _u15100))) )).
% 13.06/13.33 cnf(matrix-6532, plain, ( ~c_Finite__Set_Ofolding(_u15101, _u15102, _u15103, _u15104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15101), _u15105)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15101), _u15106)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15101, tc_HOL_Obool)), _u15105), _u15106) != c_Orderings_Obot__class_Obot(tc_fun(_u15101, tc_HOL_Obool))) | ( hAPP(_u15104, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15101, tc_HOL_Obool)), _u15105), _u15106)) = hAPP(c_Fun_Ocomp(_u15102, _u15102, _u15102, hAPP(_u15104, _u15105)), hAPP(_u15104, _u15106))) )).
% 13.06/13.33 cnf(matrix-6533, plain, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | hBOOL(hAPP(hAPP(c_member(_u15110), skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)), _u15111)) )).
% 13.06/13.33 cnf(matrix-6534, plain, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | hBOOL(hAPP(hAPP(c_member(_u15110), skolem360(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)), _u15111)) )).
% 13.06/13.33 cnf(matrix-6535, plain, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | ( skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109) != skolem360(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)) )).
% 13.06/13.33 cnf(matrix-6536, plain, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | ( hAPP(_u15112, skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109)) = hAPP(_u15112, skolem360(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109))) )).
% 13.06/13.33 cnf(matrix-6537, plain, ( ~class_Groups_Ocomm__monoid__add(_u15109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15111)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15114, _u15109), _u15113), hAPP(c_Set_Oimage(_u15110, _u15114, _u15112), _u15111)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15110, _u15109), hAPP(c_Fun_Ocomp(_u15114, _u15109, _u15110, _u15113), _u15112)), _u15111)) | ( hAPP(_u15113, hAPP(_u15112, skolem359(_u15114, _u15113, _u15112, _u15111, _u15110, _u15109))) != c_Groups_Ozero__class_Ozero(_u15109)) )).
% 13.06/13.33 cnf(matrix-6538, plain, ( ( c_Random__Sequence_Omap(_u15115, _u15116, _u15117, _u15118) = c_Random__Sequence_Obind(_u15115, _u15116, _u15118, hAPP(c_Fun_Ocomp(_u15116, 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(_u15116)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u15115, c_Random__Sequence_Osingle(_u15116)), _u15117))) )).
% 13.06/13.33 cnf(matrix-6539, plain, ( ~c_Finite__Set_Ofolding__idem(_u15119, _u15120, _u15121, _u15122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15119), _u15123)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15119), _u15124)) | ( hAPP(_u15122, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15119, tc_HOL_Obool)), _u15123), _u15124)) = hAPP(c_Fun_Ocomp(_u15120, _u15120, _u15120, hAPP(_u15122, _u15123)), hAPP(_u15122, _u15124))) )).
% 13.06/13.33 cnf(matrix-6540, plain, ( ~c_Finite__Set_Ofolding__idem(_u15125, _u15126, _u15127, _u15128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15125), _u15129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15125, tc_HOL_Obool)), _u15130), _u15129)) | ( hAPP(c_Fun_Ocomp(_u15126, _u15126, _u15126, hAPP(_u15128, _u15129)), hAPP(_u15128, _u15130)) = hAPP(_u15128, _u15129)) )).
% 13.06/13.33 cnf(matrix-6541, plain, ( ( hAPP(c_Fun_Ocomp(_u15132, _u15132, _u15132, hAPP(_u15133, _u15135)), hAPP(_u15133, _u15135)) = hAPP(_u15133, _u15135)) | ~c_Finite__Set_Ofolding__idem(_u15131, _u15132, _u15133, _u15134) )).
% 13.06/13.33 cnf(matrix-6542, plain, ( ( hAPP(c_Fun_Ocomp(_u15137, _u15137, _u15140, hAPP(_u15138, _u15141)), hAPP(c_Fun_Ocomp(_u15137, _u15137, _u15140, hAPP(_u15138, _u15141)), _u15142)) = hAPP(c_Fun_Ocomp(_u15137, _u15137, _u15140, hAPP(_u15138, _u15141)), _u15142)) | ~c_Finite__Set_Ofolding__idem(_u15136, _u15137, _u15138, _u15139) )).
% 13.06/13.33 cnf(matrix-6543, plain, ( ~c_Finite__Set_Ofolding__idem(_u15143, _u15144, _u15145, _u15146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15143), _u15147)) | ~hBOOL(hAPP(hAPP(c_member(_u15143), _u15148), _u15147)) | ( hAPP(c_Fun_Ocomp(_u15144, _u15144, _u15144, hAPP(_u15146, _u15147)), hAPP(_u15145, _u15148)) = hAPP(_u15146, _u15147)) )).
% 13.06/13.33 cnf(matrix-6544, plain, ( ~c_Finite__Set_Ofolding__idem(_u15149, _u15150, _u15151, _u15152) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15149), _u15153)) | ( hAPP(_u15152, hAPP(hAPP(c_Set_Oinsert(_u15149), _u15154), _u15153)) = hAPP(c_Fun_Ocomp(_u15150, _u15150, _u15150, hAPP(_u15152, _u15153)), hAPP(_u15151, _u15154))) )).
% 13.06/13.33 cnf(matrix-6545, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15156) | ~c_Fun_Oinj__on(_u15157, _u15158, _u15159, _u15160) | ( _u15161 != hAPP(c_Set_Oimage(_u15157, _u15158, _u15159), _u15160)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15158, _u15156), _u15163), _u15161) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15157, _u15156), _u15162), _u15160)) | hBOOL(hAPP(hAPP(c_member(_u15157), skolem361(_u15163, _u15162, _u15161, _u15160, _u15159, _u15158, _u15157, _u15156)), _u15160)) )).
% 13.06/13.33 cnf(matrix-6546, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15156) | ~c_Fun_Oinj__on(_u15157, _u15158, _u15159, _u15160) | ( _u15161 != hAPP(c_Set_Oimage(_u15157, _u15158, _u15159), _u15160)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15158, _u15156), _u15163), _u15161) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15157, _u15156), _u15162), _u15160)) | ( hAPP(_u15162, skolem361(_u15163, _u15162, _u15161, _u15160, _u15159, _u15158, _u15157, _u15156)) != hAPP(hAPP(c_Fun_Ocomp(_u15158, _u15156, _u15157, _u15163), _u15159), skolem361(_u15163, _u15162, _u15161, _u15160, _u15159, _u15158, _u15157, _u15156))) )).
% 13.06/13.33 cnf(matrix-6547, plain, ( ( c_New__Random__Sequence_Oneg__map(_u15164, _u15165, _u15166, _u15167) = c_New__Random__Sequence_Oneg__bind(_u15164, _u15165, _u15167, hAPP(c_Fun_Ocomp(_u15165, 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(_u15165)))))), _u15164, c_New__Random__Sequence_Oneg__single(_u15165)), _u15166))) )).
% 13.06/13.33 cnf(matrix-6548, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u15168), _u15169), _u15170), _u15171), _u15172) = c_New__DSequence_Oneg__single(_u15168, _u15169)) )).
% 13.06/13.33 cnf(matrix-6549, plain, ( ( c_New__Random__Sequence_Opos__map(_u15173, _u15174, _u15175, _u15176) = c_New__Random__Sequence_Opos__bind(_u15173, _u15174, _u15176, hAPP(c_Fun_Ocomp(_u15174, 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(_u15174))))), _u15173, c_New__Random__Sequence_Opos__single(_u15174)), _u15175))) )).
% 13.06/13.33 cnf(matrix-6550, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u15177, _u15178), _u15179) = c_Lazy__Sequence_Ohb__single(_u15177, _u15178)) )).
% 13.06/13.33 cnf(matrix-6551, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u15180), _u15181), _u15182), _u15183), _u15184) = c_New__DSequence_Opos__single(_u15180, _u15181)) )).
% 13.06/13.33 cnf(matrix-6552, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u15185, _u15186), _u15187) = c_Lazy__Sequence_Osingle(_u15185, _u15186)) )).
% 13.06/13.33 cnf(matrix-6553, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15188, _u15189), hAPP(c_Product__Type_Oprod_Oprod__case(_u15188, _u15189, tc_HOL_Obool), _u15190)) = c_Hilbert__Choice_OEps(tc_prod(_u15188, _u15189), hAPP(hAPP(c_COMBS(tc_prod(_u15188, _u15189), _u15189, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15188, tc_fun(_u15189, tc_HOL_Obool), tc_prod(_u15188, _u15189)), _u15190), c_Product__Type_Ofst(_u15188, _u15189))), c_Product__Type_Osnd(_u15188, _u15189)))) )).
% 13.06/13.33 cnf(matrix-6554, plain, ( ~hBOOL(hAPP(_u15192, _u15191)) | ( _u15193 != c_Hilbert__Choice_OEps(_u15194, _u15192)) | hBOOL(hAPP(_u15192, _u15193)) )).
% 13.06/13.33 cnf(matrix-6555, plain, ( ( c_Hilbert__Choice_OEps(_u15195, hAPP(c_fequal, _u15196)) = _u15196) )).
% 13.06/13.33 cnf(matrix-6556, plain, ( ( c_Hilbert__Choice_OEps(_u15197, hAPP(hAPP(c_COMBC(_u15197, _u15197, tc_HOL_Obool), c_fequal), _u15198)) = _u15198) )).
% 13.06/13.33 cnf(matrix-6557, plain, ( ~hBOOL(hAPP(_u15203, c_Hilbert__Choice_OEps(_u15205, _u15203))) | hBOOL(hAPP(_u15203, skolem362(_u15205, _u15203))) )).
% 13.06/13.33 cnf(matrix-6558, plain, ( ~hBOOL(hAPP(_u15204, _u15200)) | hBOOL(hAPP(_u15204, c_Hilbert__Choice_OEps(_u15206, _u15204))) )).
% 13.06/13.33 cnf(matrix-6559, plain, ( ~hBOOL(hAPP(_u15208, _u15207)) | hBOOL(hAPP(_u15208, c_Hilbert__Choice_OEps(_u15209, _u15208))) )).
% 13.06/13.33 cnf(matrix-6560, plain, ( ~hBOOL(hAPP(_u15211, _u15210)) | hBOOL(hAPP(_u15211, c_Hilbert__Choice_OEps(_u15212, _u15211))) )).
% 13.06/13.33 cnf(matrix-6561, plain, ( ~hBOOL(hAPP(_u15213, _u15214)) | hBOOL(hAPP(_u15213, c_Hilbert__Choice_OEps(_u15215, _u15213))) )).
% 13.06/13.33 cnf(matrix-6562, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15216, _u15217), _u15218) = c_Hilbert__Choice_OEps(tc_prod(_u15216, _u15217), hAPP(c_Product__Type_Oprod_Oprod__case(_u15216, _u15217, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15217, tc_prod(_u15216, _u15217)), tc_fun(_u15217, tc_HOL_Obool), _u15216), hAPP(c_COMBB(tc_prod(_u15216, _u15217), tc_HOL_Obool, _u15217), _u15218)), c_Product__Type_OPair(_u15216, _u15217))))) )).
% 13.06/13.33 cnf(matrix-6563, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15219, _u15220), hAPP(c_Product__Type_Oprod_Oprod__case(_u15219, _u15220, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15219, tc_fun(_u15220, tc_HOL_Obool), tc_fun(_u15220, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15220, tc_HOL_Obool), tc_fun(_u15220, tc_HOL_Obool)), _u15219), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15220)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15219), c_fconj), hAPP(c_fequal, _u15221)))), hAPP(c_fequal, _u15222)))) = hAPP(hAPP(c_Product__Type_OPair(_u15219, _u15220), _u15221), _u15222)) )).
% 13.06/13.33 cnf(matrix-6564, plain, ( c_Wellfounded_Owf(_u15224, _u15225) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15224, tc_HOL_Obool)), skolem363(_u15225, _u15224)), hAPP(c_Relation_OImage(_u15224, _u15224, _u15225), skolem363(_u15225, _u15224)))) )).
% 13.06/13.33 cnf(matrix-6565, plain, ( c_Wellfounded_Owf(_u15224, _u15225) | ( skolem363(_u15225, _u15224) != c_Orderings_Obot__class_Obot(tc_fun(_u15224, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15227, tc_HOL_Obool)), _u15228), _u15229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15227, _u15230), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15228), _u15231)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15229), _u15232))) | hBOOL(hAPP(hAPP(c_member(_u15227), skolem364(_u15232, _u15231, _u15230, _u15229, _u15228, _u15227)), _u15228)) )).
% 13.06/13.33 cnf(matrix-6567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15227, tc_HOL_Obool)), _u15228), _u15229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15227, _u15230), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15228), _u15231)), hAPP(hAPP(c_Product__Type_OSigma(_u15227, _u15230), _u15229), _u15232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15230, tc_HOL_Obool)), hAPP(_u15231, skolem364(_u15232, _u15231, _u15230, _u15229, _u15228, _u15227))), hAPP(_u15232, skolem364(_u15232, _u15231, _u15230, _u15229, _u15228, _u15227)))) )).
% 13.06/13.33 cnf(matrix-6568, plain, ( hBOOL(hAPP(hAPP(c_member(_u15234), _u15235), c_Wellfounded_Oacc(_u15234, _u15236))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15234, _u15234)), hAPP(hAPP(c_Product__Type_OPair(_u15234, _u15234), skolem365(_u15236, _u15235, _u15234)), _u15235)), _u15236)) )).
% 13.06/13.33 cnf(matrix-6569, plain, ( hBOOL(hAPP(hAPP(c_member(_u15234), _u15235), c_Wellfounded_Oacc(_u15234, _u15236))) | ~hBOOL(hAPP(hAPP(c_member(_u15234), skolem365(_u15236, _u15235, _u15234)), c_Wellfounded_Oacc(_u15234, _u15236))) )).
% 13.06/13.33 cnf(matrix-6570, plain, ( hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), c_Wellfounded_Oacc(_u15238, _u15240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15238, _u15238)), hAPP(hAPP(c_Product__Type_OPair(_u15238, _u15238), skolem366(_u15240, _u15239, _u15238)), _u15239)), _u15240)) )).
% 13.06/13.33 cnf(matrix-6571, plain, ( hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), c_Wellfounded_Oacc(_u15238, _u15240))) | ~hBOOL(hAPP(hAPP(c_member(_u15238), skolem366(_u15240, _u15239, _u15238)), c_Wellfounded_Oacc(_u15238, _u15240))) )).
% 13.06/13.33 cnf(matrix-6572, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15243), _u15244)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15242, _u15243, c_Groups_Otimes__class_Otimes(_u15242)), _u15245), c_Groups_Oone__class_Oone(_u15242)), _u15244) = c_Groups_Oone__class_Oone(_u15242)) | hBOOL(hAPP(hAPP(c_member(_u15243), skolem367(_u15245, _u15244, _u15243, _u15242)), _u15244)) )).
% 13.06/13.33 cnf(matrix-6573, plain, ( ~class_Groups_Ocomm__monoid__mult(_u15242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15243), _u15244)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15242, _u15243, c_Groups_Otimes__class_Otimes(_u15242)), _u15245), c_Groups_Oone__class_Oone(_u15242)), _u15244) = c_Groups_Oone__class_Oone(_u15242)) | ( hAPP(_u15245, skolem367(_u15245, _u15244, _u15243, _u15242)) != c_Groups_Oone__class_Oone(_u15242)) )).
% 13.06/13.33 cnf(matrix-6574, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15247), _u15248)) | ( hAPP(c_Finite__Set_Ocard(_u15247), _u15248) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u15247), skolem368(_u15248, _u15247)), _u15248)) )).
% 13.06/13.33 cnf(matrix-6575, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15247), _u15248)) | ( hAPP(c_Finite__Set_Ocard(_u15247), _u15248) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-6576, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15257), _u15259)) )).
% 13.06/13.33 cnf(matrix-6577, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15257), _u15261)) )).
% 13.06/13.33 cnf(matrix-6578, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | ( _u15261 != c_Orderings_Obot__class_Obot(tc_fun(_u15257, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6579, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | ~hBOOL(hAPP(hAPP(c_member(_u15257), _u15250), _u15259)) | hBOOL(hAPP(hAPP(c_member(_u15257), skolem369(_u15263, _u15261, _u15259, _u15257, _u15250)), _u15261)) )).
% 13.06/13.33 cnf(matrix-6580, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15257, tc_HOL_Obool), tc_fun(_u15257, tc_HOL_Obool)), _u15259), _u15261)), c_Wellfounded_Omax__ext(_u15257, _u15263))) | ~hBOOL(hAPP(hAPP(c_member(_u15257), _u15250), _u15259)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15257, _u15257)), hAPP(hAPP(c_Product__Type_OPair(_u15257, _u15257), _u15250), skolem369(_u15263, _u15261, _u15259, _u15257, _u15250))), _u15263)) )).
% 13.06/13.33 cnf(matrix-6581, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool)), _u15260), _u15262)), c_Wellfounded_Omax__ext(_u15258, _u15264))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15260)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15262)) | ( _u15262 = c_Orderings_Obot__class_Obot(tc_fun(_u15258, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15258), skolem370(_u15264, _u15262, _u15260, _u15258)), _u15260)) )).
% 13.06/13.33 cnf(matrix-6582, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u15258, tc_HOL_Obool), tc_fun(_u15258, tc_HOL_Obool)), _u15260), _u15262)), c_Wellfounded_Omax__ext(_u15258, _u15264))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15260)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15258), _u15262)) | ( _u15262 = c_Orderings_Obot__class_Obot(tc_fun(_u15258, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15258), _u15251), _u15262)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15258, _u15258)), hAPP(hAPP(c_Product__Type_OPair(_u15258, _u15258), skolem370(_u15264, _u15262, _u15260, _u15258)), _u15251)), _u15264)) )).
% 13.06/13.33 cnf(matrix-6583, plain, ( ~class_Groups_Oab__semigroup__mult(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15267), _u15268)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15269), _u15271), _u15268) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15270), _u15271), _u15268)) | hBOOL(hAPP(hAPP(c_member(_u15267), skolem371(_u15271, _u15270, _u15269, _u15268, _u15267, _u15266)), _u15268)) )).
% 13.06/13.33 cnf(matrix-6584, plain, ( ~class_Groups_Oab__semigroup__mult(_u15266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15267), _u15268)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15269), _u15271), _u15268) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u15266, _u15267, c_Groups_Otimes__class_Otimes(_u15266)), _u15270), _u15271), _u15268)) | ( hAPP(_u15269, skolem371(_u15271, _u15270, _u15269, _u15268, _u15267, _u15266)) != hAPP(_u15270, skolem371(_u15271, _u15270, _u15269, _u15268, _u15267, _u15266))) )).
% 13.06/13.33 cnf(matrix-6585, plain, ( ~class_Rings_Ocomm__semiring__1(_u15273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15274), _u15275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15274, tc_HOL_Obool)), _u15276), _u15275)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15273), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15277), _u15276)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15278), _u15275))) | hBOOL(hAPP(hAPP(c_member(_u15274), skolem372(_u15278, _u15277, _u15276, _u15275, _u15274, _u15273)), _u15276)) )).
% 13.06/13.33 cnf(matrix-6586, plain, ( ~class_Rings_Ocomm__semiring__1(_u15273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15274), _u15275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15274, tc_HOL_Obool)), _u15276), _u15275)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15273), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15277), _u15276)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15274, _u15273), _u15278), _u15275))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u15273), hAPP(_u15277, skolem372(_u15278, _u15277, _u15276, _u15275, _u15274, _u15273))), hAPP(_u15278, skolem372(_u15278, _u15277, _u15276, _u15275, _u15274, _u15273)))) )).
% 13.06/13.33 cnf(matrix-6587, plain, ( ~class_Orderings_Olinorder(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | ~hBOOL(hAPP(hAPP(c_member(_u15280), _u15282), _u15281)) | ( c_Big__Operators_Olinorder__class_OMax(_u15280, _u15281) = _u15282) | hBOOL(hAPP(hAPP(c_member(_u15280), skolem373(_u15282, _u15281, _u15280)), _u15281)) )).
% 13.06/13.33 cnf(matrix-6588, plain, ( ~class_Orderings_Olinorder(_u15280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15280), _u15281)) | ~hBOOL(hAPP(hAPP(c_member(_u15280), _u15282), _u15281)) | ( c_Big__Operators_Olinorder__class_OMax(_u15280, _u15281) = _u15282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15280), skolem373(_u15282, _u15281, _u15280)), _u15282)) )).
% 13.06/13.33 cnf(matrix-6589, plain, ( ~class_Orderings_Olinorder(_u15284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15284), _u15285)) | ~hBOOL(hAPP(hAPP(c_member(_u15284), _u15286), _u15285)) | ( c_Big__Operators_Olinorder__class_OMin(_u15284, _u15285) = _u15286) | hBOOL(hAPP(hAPP(c_member(_u15284), skolem374(_u15286, _u15285, _u15284)), _u15285)) )).
% 13.06/13.33 cnf(matrix-6590, plain, ( ~class_Orderings_Olinorder(_u15284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15284), _u15285)) | ~hBOOL(hAPP(hAPP(c_member(_u15284), _u15286), _u15285)) | ( c_Big__Operators_Olinorder__class_OMin(_u15284, _u15285) = _u15286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15284), _u15286), skolem374(_u15286, _u15285, _u15284))) )).
% 13.06/13.33 cnf(matrix-6591, plain, ( ~c_Wellfounded_Owf(_u15288, _u15289) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15288, _u15288)), hAPP(hAPP(c_Product__Type_OPair(_u15288, _u15288), hAPP(_u15290, hAPP(c_Nat_OSuc, skolem375(_u15290, _u15289, _u15288)))), hAPP(_u15290, skolem375(_u15290, _u15289, _u15288)))), _u15289)) )).
% 13.06/13.33 cnf(matrix-6592, plain, ( ~class_Groups_Ocomm__monoid__add(_u15292) | ~c_Fun_Oinj__on(_u15293, _u15294, _u15295, _u15296) | ( _u15297 != hAPP(c_Set_Oimage(_u15293, _u15294, _u15295), _u15296)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15294, _u15292), _u15299), _u15297) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15293, _u15292), _u15298), _u15296)) | hBOOL(hAPP(hAPP(c_member(_u15293), skolem376(_u15299, _u15298, _u15297, _u15296, _u15295, _u15294, _u15293, _u15292)), _u15296)) )).
% 13.06/13.33 cnf(matrix-6593, plain, ( ~class_Groups_Ocomm__monoid__add(_u15292) | ~c_Fun_Oinj__on(_u15293, _u15294, _u15295, _u15296) | ( _u15297 != hAPP(c_Set_Oimage(_u15293, _u15294, _u15295), _u15296)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15294, _u15292), _u15299), _u15297) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15293, _u15292), _u15298), _u15296)) | ( hAPP(_u15298, skolem376(_u15299, _u15298, _u15297, _u15296, _u15295, _u15294, _u15293, _u15292)) != hAPP(_u15299, hAPP(_u15295, skolem376(_u15299, _u15298, _u15297, _u15296, _u15295, _u15294, _u15293, _u15292)))) )).
% 13.06/13.33 cnf(matrix-6594, plain, ( ~class_Groups_Ocomm__monoid__add(_u15301) | ~class_Orderings_Oord(_u15302) | ( _u15303 != _u15304) | ( _u15305 != _u15306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15303), _u15305)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15308), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15304), _u15306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15302), _u15304), skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301))) )).
% 13.06/13.33 cnf(matrix-6595, plain, ( ~class_Groups_Ocomm__monoid__add(_u15301) | ~class_Orderings_Oord(_u15302) | ( _u15303 != _u15304) | ( _u15305 != _u15306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15303), _u15305)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15308), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15304), _u15306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15302), skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301)), _u15306)) )).
% 13.06/13.33 cnf(matrix-6596, plain, ( ~class_Groups_Ocomm__monoid__add(_u15301) | ~class_Orderings_Oord(_u15302) | ( _u15303 != _u15304) | ( _u15305 != _u15306) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15307), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15303), _u15305)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15302, _u15301), _u15308), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u15302, _u15304), _u15306))) | ( hAPP(_u15307, skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301)) != hAPP(_u15308, skolem377(_u15308, _u15307, _u15306, _u15305, _u15304, _u15303, _u15302, _u15301))) )).
% 13.06/13.33 cnf(matrix-6597, 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), _u15311), _u15313)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15311), _u15313)) )).
% 13.06/13.33 cnf(matrix-6598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15312), _u15314)) | 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), _u15312), _u15314)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 13.06/13.33 cnf(matrix-6599, plain, ( ~class_Orderings_Olinorder(_u15315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15315), _u15316)) | hBOOL(hAPP(hAPP(c_member(_u15315), _u15317), _u15316)) | ( c_Big__Operators_Olattice_OSup__fin(_u15315, c_Orderings_Oord__class_Omax(_u15315), hAPP(hAPP(c_Set_Oinsert(_u15315), _u15317), _u15316)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15315, _u15315, c_Orderings_Oord__class_Omax(_u15315)), _u15317), _u15316)) )).
% 13.06/13.33 cnf(matrix-6600, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u15318, _u15319, _u15320), _u15321), c_Orderings_Obot__class_Obot(tc_fun(_u15318, tc_HOL_Obool))) = _u15321) )).
% 13.06/13.33 cnf(matrix-6601, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u15322, _u15323, _u15324), _u15325) = c_Finite__Set_Ofold(_u15323, _u15322, hAPP(hAPP(c_COMBB(_u15322, tc_fun(_u15322, _u15322), _u15323), _u15324), _u15325))) )).
% 13.06/13.33 cnf(matrix-6602, plain, ( ~c_Wellfounded_Owf(_u15326, _u15327) | c_Wellfounded_Owf(_u15326, c_Transitive__Closure_Otrancl(_u15326, _u15327)) )).
% 13.06/13.33 cnf(matrix-6603, plain, ( ~c_Finite__Set_Ofolding(_u15328, _u15329, _u15330, _u15331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15328), _u15332)) | ( hAPP(hAPP(_u15331, _u15332), _u15333) = hAPP(hAPP(c_Finite__Set_Ofold(_u15328, _u15329, _u15330), _u15333), _u15332)) )).
% 13.06/13.33 cnf(matrix-6604, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u15334, _u15335, _u15336), _u15337), _u15338) = c_HOL_OThe(_u15335, c_Finite__Set_Ofold__graph(_u15334, _u15335, _u15336, _u15337, _u15338))) )).
% 13.06/13.33 cnf(matrix-6605, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15339), _u15340)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15339, tc_HOL_Obool)), _u15340), _u15341) = hAPP(hAPP(c_Finite__Set_Ofold(_u15339, tc_fun(_u15339, tc_HOL_Obool), c_Set_Oinsert(_u15339)), _u15341), _u15340)) )).
% 13.06/13.33 cnf(matrix-6606, plain, ( ~class_Lattices_Osemilattice__sup(_u15342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15342), _u15343)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15342, _u15342, c_Lattices_Osemilattice__sup__class_Osup(_u15342)), _u15344), hAPP(hAPP(c_Set_Oinsert(_u15342), _u15345), _u15343)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15342), _u15345), hAPP(hAPP(c_Finite__Set_Ofold(_u15342, _u15342, c_Lattices_Osemilattice__sup__class_Osup(_u15342)), _u15344), _u15343))) )).
% 13.06/13.33 cnf(matrix-6607, plain, ( ~class_Lattices_Osemilattice__inf(_u15346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15346), _u15347)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15346, _u15346, c_Lattices_Osemilattice__inf__class_Oinf(_u15346)), _u15348), hAPP(hAPP(c_Set_Oinsert(_u15346), _u15349), _u15347)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15346), _u15349), hAPP(hAPP(c_Finite__Set_Ofold(_u15346, _u15346, c_Lattices_Osemilattice__inf__class_Oinf(_u15346)), _u15348), _u15347))) )).
% 13.06/13.33 cnf(matrix-6608, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 13.06/13.33 cnf(matrix-6609, plain, ( ~class_Orderings_Olinorder(_u15350) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15350), _u15351)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15350, _u15350, c_Orderings_Oord__class_Omin(_u15350)), _u15352), hAPP(hAPP(c_Set_Oinsert(_u15350), _u15353), _u15351)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15350), _u15353), hAPP(hAPP(c_Finite__Set_Ofold(_u15350, _u15350, c_Orderings_Oord__class_Omin(_u15350)), _u15352), _u15351))) )).
% 13.06/13.33 cnf(matrix-6610, plain, ( ~class_Orderings_Olinorder(_u15354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15354), _u15355)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15354, _u15354, c_Orderings_Oord__class_Omax(_u15354)), _u15356), hAPP(hAPP(c_Set_Oinsert(_u15354), _u15357), _u15355)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15354), _u15357), hAPP(hAPP(c_Finite__Set_Ofold(_u15354, _u15354, c_Orderings_Oord__class_Omax(_u15354)), _u15356), _u15355))) )).
% 13.06/13.33 cnf(matrix-6611, plain, ( ~c_Wellfounded_Oacyclic(_u15362, _u15364) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15362, _u15362)), hAPP(hAPP(c_Product__Type_OPair(_u15362, _u15362), _u15358), _u15358)), c_Transitive__Closure_Otrancl(_u15362, _u15364))) )).
% 13.06/13.33 cnf(matrix-6612, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15363, _u15363)), hAPP(hAPP(c_Product__Type_OPair(_u15363, _u15363), skolem378(_u15365, _u15363)), skolem378(_u15365, _u15363))), c_Transitive__Closure_Otrancl(_u15363, _u15365))) | c_Wellfounded_Oacyclic(_u15363, _u15365) )).
% 13.06/13.33 cnf(matrix-6613, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u15366, _u15367, _u15368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15366), _u15369)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15366, _u15367, _u15368), _u15370), hAPP(hAPP(c_Set_Oinsert(_u15366), _u15371), _u15369)) = hAPP(hAPP(_u15368, _u15371), hAPP(hAPP(c_Finite__Set_Ofold(_u15366, _u15367, _u15368), _u15370), _u15369))) )).
% 13.06/13.33 cnf(matrix-6614, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u15372, _u15373, _u15374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15372), _u15375)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15372, _u15373, _u15374), _u15376), hAPP(hAPP(c_Set_Oinsert(_u15372), _u15377), _u15375)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15372, _u15373, _u15374), hAPP(hAPP(_u15374, _u15377), _u15376)), _u15375)) )).
% 13.06/13.33 cnf(matrix-6615, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15379), _u15380)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15378), _u15381), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15379, _u15378), _u15380), _u15382)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15379, _u15378, hAPP(hAPP(c_COMBB(_u15378, tc_fun(_u15378, _u15378), _u15379), c_Lattices_Osemilattice__sup__class_Osup(_u15378)), _u15382)), _u15381), _u15380)) )).
% 13.06/13.33 cnf(matrix-6616, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u15383, _u15384, _u15385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15383), _u15386)) | ( hAPP(_u15385, hAPP(hAPP(c_Set_Oinsert(_u15383), _u15387), _u15386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15383, _u15383, _u15384), _u15387), _u15386)) )).
% 13.06/13.33 cnf(matrix-6617, plain, ( ~class_Lattices_Osemilattice__sup(_u15388) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15388), _u15389)) | ~hBOOL(hAPP(hAPP(c_member(_u15388), _u15390), _u15389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15388), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15388), _u15390), _u15391)), hAPP(hAPP(c_Finite__Set_Ofold(_u15388, _u15388, c_Lattices_Osemilattice__sup__class_Osup(_u15388)), _u15391), _u15389))) )).
% 13.06/13.33 cnf(matrix-6618, plain, ( ~class_Lattices_Osemilattice__inf(_u15392) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15392), _u15393)) | ~hBOOL(hAPP(hAPP(c_member(_u15392), _u15394), _u15393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15392), hAPP(hAPP(c_Finite__Set_Ofold(_u15392, _u15392, c_Lattices_Osemilattice__inf__class_Oinf(_u15392)), _u15395), _u15393)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15392), _u15394), _u15395))) )).
% 13.06/13.33 cnf(matrix-6619, plain, ( ~class_Orderings_Olinorder(_u15396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15396), _u15397)) | ~hBOOL(hAPP(hAPP(c_member(_u15396), _u15398), _u15397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15396), hAPP(hAPP(c_Finite__Set_Ofold(_u15396, _u15396, c_Orderings_Oord__class_Omin(_u15396)), _u15399), _u15397)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15396), _u15398), _u15399))) )).
% 13.06/13.33 cnf(matrix-6620, plain, ( ~class_Orderings_Olinorder(_u15400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15400), _u15401)) | ~hBOOL(hAPP(hAPP(c_member(_u15400), _u15402), _u15401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15400), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15400), _u15402), _u15403)), hAPP(hAPP(c_Finite__Set_Ofold(_u15400, _u15400, c_Orderings_Oord__class_Omax(_u15400)), _u15403), _u15401))) )).
% 13.06/13.33 cnf(matrix-6621, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u15404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15404), _u15405)) | ( hAPP(c_Finite__Set_Ofold1(_u15404, c_Groups_Otimes__class_Otimes(_u15404)), hAPP(hAPP(c_Set_Oinsert(_u15404), _u15406), _u15405)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15404, _u15404, c_Groups_Otimes__class_Otimes(_u15404)), _u15406), _u15405)) )).
% 13.06/13.33 cnf(matrix-6622, plain, ( ~class_Lattices_Olattice(_u15407) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15407), _u15408)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15407, hAPP(hAPP(c_Set_Oinsert(_u15407), _u15409), _u15408)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15407, _u15407, c_Lattices_Osemilattice__sup__class_Osup(_u15407)), _u15409), _u15408)) )).
% 13.06/13.33 cnf(matrix-6623, plain, ( ~class_Lattices_Olattice(_u15410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15410), _u15411)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15410, hAPP(hAPP(c_Set_Oinsert(_u15410), _u15412), _u15411)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15410, _u15410, c_Lattices_Osemilattice__inf__class_Oinf(_u15410)), _u15412), _u15411)) )).
% 13.06/13.33 cnf(matrix-6624, plain, ( ~class_Orderings_Olinorder(_u15413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15413), _u15414)) | ( c_Big__Operators_Olinorder__class_OMin(_u15413, hAPP(hAPP(c_Set_Oinsert(_u15413), _u15415), _u15414)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15413, _u15413, c_Orderings_Oord__class_Omin(_u15413)), _u15415), _u15414)) )).
% 13.06/13.33 cnf(matrix-6625, plain, ( ~class_Orderings_Olinorder(_u15416) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15416), _u15417)) | ( c_Big__Operators_Olinorder__class_OMax(_u15416, hAPP(hAPP(c_Set_Oinsert(_u15416), _u15418), _u15417)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15416, _u15416, c_Orderings_Oord__class_Omax(_u15416)), _u15418), _u15417)) )).
% 13.06/13.33 cnf(matrix-6626, plain, ( ~class_Orderings_Olinorder(_u15419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15419), _u15420)) | ( c_Big__Operators_Olattice_OInf__fin(_u15419, c_Orderings_Oord__class_Omin(_u15419), hAPP(hAPP(c_Set_Oinsert(_u15419), _u15421), _u15420)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15419, _u15419, c_Orderings_Oord__class_Omin(_u15419)), _u15421), _u15420)) )).
% 13.06/13.33 cnf(matrix-6627, plain, ( ~class_Orderings_Olinorder(_u15422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15422), _u15423)) | ( c_Big__Operators_Olattice_OSup__fin(_u15422, c_Orderings_Oord__class_Omax(_u15422), hAPP(hAPP(c_Set_Oinsert(_u15422), _u15424), _u15423)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15422, _u15422, c_Orderings_Oord__class_Omax(_u15422)), _u15424), _u15423)) )).
% 13.06/13.33 cnf(matrix-6628, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15425), _u15426)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15425, tc_HOL_Obool)), _u15427), _u15426) = hAPP(hAPP(c_Finite__Set_Ofold(_u15425, tc_fun(_u15425, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15425, tc_HOL_Obool), tc_fun(tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool)), _u15425), hAPP(c_COMBC(tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u15425, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u15425, tc_fun(_u15425, tc_HOL_Obool), tc_fun(_u15425, tc_HOL_Obool)), c_Set_Oinsert(_u15425)), c_Orderings_Obot__class_Obot(tc_fun(_u15425, tc_HOL_Obool))))), _u15427), _u15426)) )).
% 13.06/13.33 cnf(matrix-6629, plain, ( ~c_Finite__Set_Ofolding__one(_u15428, _u15429, _u15430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15428), _u15431)) | hBOOL(hAPP(hAPP(c_member(_u15428), _u15432), _u15431)) | ( hAPP(_u15430, hAPP(hAPP(c_Set_Oinsert(_u15428), _u15432), _u15431)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15428, _u15428, _u15429), _u15432), _u15431)) )).
% 13.06/13.33 cnf(matrix-6630, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15434), _u15435)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15434, _u15433), _u15435), _u15436) = hAPP(hAPP(c_Finite__Set_Ofold(_u15434, _u15433, hAPP(hAPP(c_COMBB(_u15433, tc_fun(_u15433, _u15433), _u15434), c_Lattices_Osemilattice__sup__class_Osup(_u15433)), _u15436)), c_Orderings_Obot__class_Obot(_u15433)), _u15435)) )).
% 13.06/13.33 cnf(matrix-6631, plain, ( ~class_Groups_Oab__semigroup__mult(_u15437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15437), _u15438)) | hBOOL(hAPP(hAPP(c_member(_u15437), _u15439), _u15438)) | ( hAPP(c_Finite__Set_Ofold1(_u15437, c_Groups_Otimes__class_Otimes(_u15437)), hAPP(hAPP(c_Set_Oinsert(_u15437), _u15439), _u15438)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15437, _u15437, c_Groups_Otimes__class_Otimes(_u15437)), _u15439), _u15438)) )).
% 13.06/13.33 cnf(matrix-6632, plain, ( ~class_Lattices_Olattice(_u15440) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15440), _u15441)) | hBOOL(hAPP(hAPP(c_member(_u15440), _u15442), _u15441)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15440, hAPP(hAPP(c_Set_Oinsert(_u15440), _u15442), _u15441)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15440, _u15440, c_Lattices_Osemilattice__sup__class_Osup(_u15440)), _u15442), _u15441)) )).
% 13.06/13.33 cnf(matrix-6633, plain, ( ~class_Lattices_Olattice(_u15443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15443), _u15444)) | hBOOL(hAPP(hAPP(c_member(_u15443), _u15445), _u15444)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15443, hAPP(hAPP(c_Set_Oinsert(_u15443), _u15445), _u15444)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15443, _u15443, c_Lattices_Osemilattice__inf__class_Oinf(_u15443)), _u15445), _u15444)) )).
% 13.06/13.33 cnf(matrix-6634, plain, ( ~class_Orderings_Olinorder(_u15446) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15446), _u15447)) | hBOOL(hAPP(hAPP(c_member(_u15446), _u15448), _u15447)) | ( c_Big__Operators_Olinorder__class_OMin(_u15446, hAPP(hAPP(c_Set_Oinsert(_u15446), _u15448), _u15447)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15446, _u15446, c_Orderings_Oord__class_Omin(_u15446)), _u15448), _u15447)) )).
% 13.06/13.33 cnf(matrix-6635, plain, ( ~class_Orderings_Olinorder(_u15449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15450)) | hBOOL(hAPP(hAPP(c_member(_u15449), _u15451), _u15450)) | ( c_Big__Operators_Olinorder__class_OMax(_u15449, hAPP(hAPP(c_Set_Oinsert(_u15449), _u15451), _u15450)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15449, _u15449, c_Orderings_Oord__class_Omax(_u15449)), _u15451), _u15450)) )).
% 13.06/13.33 cnf(matrix-6636, plain, ( ~class_Orderings_Olinorder(_u15452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15452), _u15453)) | hBOOL(hAPP(hAPP(c_member(_u15452), _u15454), _u15453)) | ( c_Big__Operators_Olattice_OInf__fin(_u15452, c_Orderings_Oord__class_Omin(_u15452), hAPP(hAPP(c_Set_Oinsert(_u15452), _u15454), _u15453)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15452, _u15452, c_Orderings_Oord__class_Omin(_u15452)), _u15454), _u15453)) )).
% 13.06/13.33 cnf(matrix-6637, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15455, _u15455)), hAPP(hAPP(c_Product__Type_OPair(_u15455, _u15455), _u15456), _u15457)), _u15458)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15455, _u15455)), hAPP(hAPP(c_Product__Type_OPair(_u15455, _u15455), _u15456), _u15457)), c_Transitive__Closure_Otrancl(_u15455, _u15458))) )).
% 13.06/13.33 cnf(matrix-6638, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15459, _u15460)), hAPP(hAPP(c_Product__Type_OSigma(_u15459, _u15459), hAPP(c_Relation_OField(_u15459), _u15460)), hAPP(c_COMBK(tc_fun(_u15459, tc_HOL_Obool), _u15459), hAPP(c_Relation_OField(_u15459), _u15460))))) )).
% 13.06/13.33 cnf(matrix-6639, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15461, _u15461)), _u15462), _u15463)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15461, _u15461)), _u15462), c_Transitive__Closure_Otrancl(_u15461, _u15463))) )).
% 13.06/13.33 cnf(matrix-6640, plain, ( ( c_Transitive__Closure_Otrancl(_u15464, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15464, _u15464), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15464, _u15464), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6641, plain, ( ( hAPP(c_Relation_ODomain(_u15465, _u15465), c_Transitive__Closure_Otrancl(_u15465, _u15466)) = hAPP(c_Relation_ODomain(_u15465, _u15465), _u15466)) )).
% 13.06/13.33 cnf(matrix-6642, plain, ( ( hAPP(c_Relation_ORange(_u15467, _u15467), c_Transitive__Closure_Otrancl(_u15467, _u15468)) = hAPP(c_Relation_ORange(_u15467, _u15467), _u15468)) )).
% 13.06/13.33 cnf(matrix-6643, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15471, _u15471)), c_Transitive__Closure_Otrancl(_u15471, _u15473))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15471, _u15471)), _u15473)) )).
% 13.06/13.33 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15472, _u15472)), _u15474)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u15472, _u15472)), c_Transitive__Closure_Otrancl(_u15472, _u15474))) )).
% 13.06/13.33 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15475, _u15475)), hAPP(hAPP(c_Product__Type_OPair(_u15475, _u15475), _u15476), _u15477)), _u15478)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15475, _u15475)), hAPP(hAPP(c_Product__Type_OPair(_u15475, _u15475), _u15477), _u15479)), _u15478)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15475, _u15475)), hAPP(hAPP(c_Product__Type_OPair(_u15475, _u15475), _u15476), _u15479)), c_Transitive__Closure_Otrancl(_u15475, _u15478))) )).
% 13.06/13.33 cnf(matrix-6646, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15480)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15480), _u15481), _u15482)), _u15483)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15480)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15480), _u15482), _u15484)), c_Transitive__Closure_Otrancl(_u15480, _u15483))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15480)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15480), _u15481), _u15484)), c_Transitive__Closure_Otrancl(_u15480, _u15483))) )).
% 13.06/13.33 cnf(matrix-6647, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15485, _u15485)), hAPP(hAPP(c_Product__Type_OPair(_u15485, _u15485), _u15486), _u15487)), c_Transitive__Closure_Otrancl(_u15485, _u15488))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15485, _u15485)), hAPP(hAPP(c_Product__Type_OPair(_u15485, _u15485), _u15487), _u15489)), _u15488)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15485, _u15485)), hAPP(hAPP(c_Product__Type_OPair(_u15485, _u15485), _u15486), _u15489)), c_Transitive__Closure_Otrancl(_u15485, _u15488))) )).
% 13.06/13.33 cnf(matrix-6648, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_Product__Type_OPair(_u15490, _u15490), _u15491), _u15492)), c_Transitive__Closure_Otrancl(_u15490, _u15493))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_Product__Type_OPair(_u15490, _u15490), _u15492), _u15494)), c_Transitive__Closure_Otrancl(_u15490, _u15493))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15490, _u15490)), hAPP(hAPP(c_Product__Type_OPair(_u15490, _u15490), _u15491), _u15494)), c_Transitive__Closure_Otrancl(_u15490, _u15493))) )).
% 13.06/13.33 cnf(matrix-6649, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15495, _u15495)), _u15496), c_Transitive__Closure_Otrancl(_u15495, _u15497))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15495, _u15495), tc_HOL_Obool)), _u15497), _u15498)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15495, _u15495)), _u15496), c_Transitive__Closure_Otrancl(_u15495, _u15498))) )).
% 13.06/13.33 cnf(matrix-6650, plain, ( ( c_Transitive__Closure_Otrancl(_u15499, _u15500) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15499, _u15499), tc_HOL_Obool)), _u15500), hAPP(hAPP(c_Relation_Orel__comp(_u15499, _u15499, _u15499), c_Transitive__Closure_Otrancl(_u15499, _u15500)), _u15500))) )).
% 13.06/13.33 cnf(matrix-6651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15501, _u15501), tc_HOL_Obool)), _u15502), hAPP(hAPP(c_Product__Type_OSigma(_u15501, _u15501), _u15503), hAPP(c_COMBK(tc_fun(_u15501, tc_HOL_Obool), _u15501), _u15503)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15501, _u15501), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15501, _u15502)), hAPP(hAPP(c_Product__Type_OSigma(_u15501, _u15501), _u15503), hAPP(c_COMBK(tc_fun(_u15501, tc_HOL_Obool), _u15501), _u15503)))) )).
% 13.06/13.33 cnf(matrix-6652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), _u15505), _u15506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u15504, _u15504, _u15504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15504, _u15505)), _u15506)), _u15505)), _u15506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15504, _u15504), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15504, _u15505)), _u15506)) )).
% 13.06/13.33 cnf(matrix-6653, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15507, _u15508, _u15509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15507), _u15510)) | ~hBOOL(hAPP(hAPP(c_member(_u15507), _u15511), _u15510)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15507, _u15508, _u15509), _u15512), _u15510) = hAPP(hAPP(_u15509, _u15511), hAPP(hAPP(c_Finite__Set_Ofold(_u15507, _u15508, _u15509), _u15512), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15507, tc_HOL_Obool)), _u15510), hAPP(hAPP(c_Set_Oinsert(_u15507), _u15511), c_Orderings_Obot__class_Obot(tc_fun(_u15507, tc_HOL_Obool))))))) )).
% 13.06/13.33 cnf(matrix-6654, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15513, _u15514, _u15515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15513), _u15516)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15513, _u15514, _u15515), _u15517), hAPP(hAPP(c_Set_Oinsert(_u15513), _u15518), _u15516)) = hAPP(hAPP(_u15515, _u15518), hAPP(hAPP(c_Finite__Set_Ofold(_u15513, _u15514, _u15515), _u15517), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15513, tc_HOL_Obool)), _u15516), hAPP(hAPP(c_Set_Oinsert(_u15513), _u15518), c_Orderings_Obot__class_Obot(tc_fun(_u15513, tc_HOL_Obool))))))) )).
% 13.06/13.33 cnf(matrix-6655, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15519, _u15520, _u15521) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15519, _u15520, _u15521, _u15522, _u15523), _u15524)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15519, _u15520, _u15521, _u15522, _u15523), _u15525)) | ( _u15525 = _u15524) )).
% 13.06/13.33 cnf(matrix-6656, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15526, _u15527, _u15528) | c_Finite__Set_Ofun__left__comm(_u15529, _u15527, hAPP(hAPP(c_COMBB(_u15526, tc_fun(_u15527, _u15527), _u15529), _u15528), _u15530)) )).
% 13.06/13.33 cnf(matrix-6657, plain, ( ( hAPP(hAPP(_u15533, _u15534), hAPP(hAPP(_u15533, _u15535), _u15536)) = hAPP(hAPP(_u15533, _u15535), hAPP(hAPP(_u15533, _u15534), _u15536))) | ~c_Finite__Set_Ofun__left__comm(_u15531, _u15532, _u15533) )).
% 13.06/13.33 cnf(matrix-6658, plain, ( ~class_Groups_Oab__semigroup__mult(_u15537) | c_Finite__Set_Ofun__left__comm(_u15537, _u15537, c_Groups_Otimes__class_Otimes(_u15537)) )).
% 13.06/13.33 cnf(matrix-6659, plain, ( ( hAPP(c_Fun_Ocomp(_u15539, _u15539, _u15539, hAPP(_u15540, _u15541)), hAPP(_u15540, _u15542)) = hAPP(c_Fun_Ocomp(_u15539, _u15539, _u15539, hAPP(_u15540, _u15542)), hAPP(_u15540, _u15541))) | ~c_Finite__Set_Ofun__left__comm(_u15538, _u15539, _u15540) )).
% 13.06/13.33 cnf(matrix-6660, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15543, _u15544, _u15545) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15543), _u15546)) | ( hAPP(hAPP(_u15545, _u15547), hAPP(hAPP(c_Finite__Set_Ofold(_u15543, _u15544, _u15545), _u15548), _u15546)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15543, _u15544, _u15545), hAPP(hAPP(_u15545, _u15547), _u15548)), _u15546)) )).
% 13.06/13.33 cnf(matrix-6661, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15549, _u15550, _u15551) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15549, _u15550, _u15551, _u15552, _u15553), _u15554)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15549, _u15550, _u15551), _u15552), _u15553) = _u15554) )).
% 13.06/13.33 cnf(matrix-6662, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15555, _u15556, _u15557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15555), _u15558)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15555, _u15556, _u15557, _u15559, _u15558), hAPP(hAPP(c_Finite__Set_Ofold(_u15555, _u15556, _u15557), _u15559), _u15558))) )).
% 13.06/13.33 cnf(matrix-6663, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15560, _u15561, _u15562) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15560), _u15563)) | hBOOL(hAPP(hAPP(c_member(_u15560), _u15564), _u15563)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15560, _u15561, _u15562), _u15565), hAPP(hAPP(c_Set_Oinsert(_u15560), _u15564), _u15563)) = hAPP(hAPP(_u15562, _u15564), hAPP(hAPP(c_Finite__Set_Ofold(_u15560, _u15561, _u15562), _u15565), _u15563))) )).
% 13.06/13.33 cnf(matrix-6664, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15566, _u15567, _u15568) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15566), _u15569)) | hBOOL(hAPP(hAPP(c_member(_u15566), _u15570), _u15569)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15566, _u15567, _u15568), _u15571), hAPP(hAPP(c_Set_Oinsert(_u15566), _u15570), _u15569)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15566, _u15567, _u15568), hAPP(hAPP(_u15568, _u15570), _u15571)), _u15569)) )).
% 13.06/13.33 cnf(matrix-6665, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15573, _u15574, _u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15573, _u15574, _u15575, _u15576, _u15577), _u15578)) | ~hBOOL(hAPP(hAPP(c_member(_u15573), _u15579), _u15577)) | ( _u15578 = hAPP(hAPP(_u15575, _u15579), skolem379(_u15579, _u15578, _u15577, _u15576, _u15575, _u15574, _u15573))) )).
% 13.06/13.33 cnf(matrix-6666, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15573, _u15574, _u15575) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15573, _u15574, _u15575, _u15576, _u15577), _u15578)) | ~hBOOL(hAPP(hAPP(c_member(_u15573), _u15579), _u15577)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15573, _u15574, _u15575, _u15576, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15573, tc_HOL_Obool)), _u15577), hAPP(hAPP(c_Set_Oinsert(_u15573), _u15579), c_Orderings_Obot__class_Obot(tc_fun(_u15573, tc_HOL_Obool))))), skolem379(_u15579, _u15578, _u15577, _u15576, _u15575, _u15574, _u15573))) )).
% 13.06/13.33 cnf(matrix-6667, plain, ( ( c_Transitive__Closure_Otrancl(_u15580, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15580, _u15580)), hAPP(hAPP(c_Product__Type_OPair(_u15580, _u15580), _u15581), _u15582)), _u15583)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u15580, _u15583)), hAPP(c_Set_OCollect(tc_prod(_u15580, _u15580)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15580, _u15580, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15580, tc_fun(_u15580, tc_HOL_Obool), tc_fun(_u15580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15580, tc_HOL_Obool), tc_fun(_u15580, tc_HOL_Obool)), _u15580), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15580)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15580), c_fconj), hAPP(hAPP(c_COMBC(_u15580, tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15580, _u15580), tc_fun(tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), _u15580), c_member(tc_prod(_u15580, _u15580))), hAPP(hAPP(c_COMBC(_u15580, _u15580, tc_prod(_u15580, _u15580)), c_Product__Type_OPair(_u15580, _u15580)), _u15581))), c_Transitive__Closure_Ortrancl(_u15580, _u15583))))), hAPP(hAPP(c_COMBC(_u15580, tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u15580, _u15580), tc_fun(tc_fun(tc_prod(_u15580, _u15580), tc_HOL_Obool), tc_HOL_Obool), _u15580), c_member(tc_prod(_u15580, _u15580))), hAPP(c_Product__Type_OPair(_u15580, _u15580), _u15582))), c_Transitive__Closure_Ortrancl(_u15580, _u15583))))))) )).
% 13.06/13.33 cnf(matrix-6668, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15584, _u15584)), _u15585), _u15586)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15584, _u15584)), _u15585), c_Transitive__Closure_Ortrancl(_u15584, _u15586))) )).
% 13.06/13.33 cnf(matrix-6669, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15587, _u15587)), hAPP(hAPP(c_Product__Type_OPair(_u15587, _u15587), _u15588), _u15588)), c_Transitive__Closure_Ortrancl(_u15587, _u15589))) )).
% 13.06/13.33 cnf(matrix-6670, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), hAPP(hAPP(c_Product__Type_OPair(_u15590, _u15590), _u15591), _u15592)), c_Transitive__Closure_Otrancl(_u15590, _u15593))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), hAPP(hAPP(c_Product__Type_OPair(_u15590, _u15590), _u15591), _u15592)), c_Transitive__Closure_Ortrancl(_u15590, _u15593))) )).
% 13.06/13.33 cnf(matrix-6671, plain, ( ( hAPP(c_Relation_ODomain(_u15594, _u15594), c_Transitive__Closure_Ortrancl(_u15594, _u15595)) = c_Orderings_Otop__class_Otop(tc_fun(_u15594, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6672, plain, ( ( hAPP(c_Relation_ORange(_u15596, _u15596), c_Transitive__Closure_Ortrancl(_u15596, _u15597)) = c_Orderings_Otop__class_Otop(tc_fun(_u15596, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6673, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15598, _u15598, _u15598), c_Transitive__Closure_Ortrancl(_u15598, _u15599)), c_Transitive__Closure_Ortrancl(_u15598, _u15599)) = c_Transitive__Closure_Ortrancl(_u15598, _u15599)) )).
% 13.06/13.33 cnf(matrix-6674, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u15600, _u15600, _u15600), _u15601), c_Transitive__Closure_Ortrancl(_u15600, _u15601)) = hAPP(hAPP(c_Relation_Orel__comp(_u15600, _u15600, _u15600), c_Transitive__Closure_Ortrancl(_u15600, _u15601)), _u15601)) )).
% 13.06/13.33 cnf(matrix-6675, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15602, _u15602), tc_HOL_Obool)), _u15604), _u15605)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, _u15604))) )).
% 13.06/13.33 cnf(matrix-6676, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15602, _u15602), tc_HOL_Obool)), _u15604), _u15605)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15602, _u15602)), _u15603), c_Transitive__Closure_Ortrancl(_u15602, _u15605))) )).
% 13.06/13.33 cnf(matrix-6677, plain, ( ( c_Transitive__Closure_Ortrancl(_u15606, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15606, _u15606), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15606, _u15607)), c_Transitive__Closure_Ortrancl(_u15606, _u15608))) = c_Transitive__Closure_Ortrancl(_u15606, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15606, _u15606), tc_HOL_Obool)), _u15607), _u15608))) )).
% 13.06/13.33 cnf(matrix-6678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15609, _u15609), tc_HOL_Obool)), _u15610), _u15611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15609, _u15609), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15609, _u15610)), c_Transitive__Closure_Ortrancl(_u15609, _u15611))) )).
% 13.06/13.33 cnf(matrix-6679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15612, _u15612), tc_HOL_Obool)), _u15613), _u15614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15612, _u15612), tc_HOL_Obool)), _u15614), c_Transitive__Closure_Ortrancl(_u15612, _u15613))) | ( c_Transitive__Closure_Ortrancl(_u15612, _u15614) = c_Transitive__Closure_Ortrancl(_u15612, _u15613)) )).
% 13.06/13.33 cnf(matrix-6680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15615, _u15615), tc_HOL_Obool)), _u15616), c_Transitive__Closure_Ortrancl(_u15615, _u15617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15615, _u15615), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15615, _u15616)), c_Transitive__Closure_Ortrancl(_u15615, _u15617))) )).
% 13.06/13.33 cnf(matrix-6681, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15618, _u15618), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15618, _u15618), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15618, _u15619)), c_Transitive__Closure_Ortrancl(_u15618, _u15620))), c_Transitive__Closure_Ortrancl(_u15618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15618, _u15618), tc_HOL_Obool)), _u15619), _u15620)))) )).
% 13.06/13.33 cnf(matrix-6682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15621, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15621, _u15621, _u15622), _u15623)), _u15623)) | ( hAPP(c_Relation_OImage(_u15621, _u15621, c_Transitive__Closure_Ortrancl(_u15621, _u15622)), _u15623) = _u15623) )).
% 13.06/13.33 cnf(matrix-6683, plain, ( ( c_Transitive__Closure_Ortrancl(_u15624, c_Transitive__Closure_Ortrancl(_u15624, _u15625)) = c_Transitive__Closure_Ortrancl(_u15624, _u15625)) )).
% 13.06/13.33 cnf(matrix-6684, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15626, _u15626)), hAPP(hAPP(c_Product__Type_OPair(_u15626, _u15626), _u15627), _u15628)), c_Transitive__Closure_Ortrancl(_u15626, _u15629))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15626, _u15626)), hAPP(hAPP(c_Product__Type_OPair(_u15626, _u15626), _u15628), _u15630)), c_Transitive__Closure_Ortrancl(_u15626, _u15629))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15626, _u15626)), hAPP(hAPP(c_Product__Type_OPair(_u15626, _u15626), _u15627), _u15630)), c_Transitive__Closure_Ortrancl(_u15626, _u15629))) )).
% 13.06/13.33 cnf(matrix-6685, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15632), _u15633)), c_Transitive__Closure_Ortrancl(_u15631, _u15634))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15633), _u15635)), _u15634)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15632), _u15635)), c_Transitive__Closure_Ortrancl(_u15631, _u15634))) )).
% 13.06/13.33 cnf(matrix-6686, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15636, _u15636)), hAPP(hAPP(c_Product__Type_OPair(_u15636, _u15636), _u15637), _u15638)), _u15639)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15636, _u15636)), hAPP(hAPP(c_Product__Type_OPair(_u15636, _u15636), _u15638), _u15640)), c_Transitive__Closure_Ortrancl(_u15636, _u15639))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15636, _u15636)), hAPP(hAPP(c_Product__Type_OPair(_u15636, _u15636), _u15637), _u15640)), c_Transitive__Closure_Ortrancl(_u15636, _u15639))) )).
% 13.06/13.33 cnf(matrix-6687, plain, ( c_Relation_Orefl__on(_u15641, c_Orderings_Otop__class_Otop(tc_fun(_u15641, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u15641, _u15642)) )).
% 13.06/13.33 cnf(matrix-6688, plain, ( ( c_Transitive__Closure_Otrancl(_u15643, c_Transitive__Closure_Ortrancl(_u15643, _u15644)) = c_Transitive__Closure_Ortrancl(_u15643, _u15644)) )).
% 13.06/13.33 cnf(matrix-6689, plain, ( ( c_Transitive__Closure_Ortrancl(_u15645, c_Transitive__Closure_Otrancl(_u15645, _u15646)) = c_Transitive__Closure_Ortrancl(_u15645, _u15646)) )).
% 13.06/13.33 cnf(matrix-6690, plain, ( ( c_Transitive__Closure_Otrancl(_u15647, _u15648) = hAPP(hAPP(c_Relation_Orel__comp(_u15647, _u15647, _u15647), _u15648), c_Transitive__Closure_Ortrancl(_u15647, _u15648))) )).
% 13.06/13.33 cnf(matrix-6691, plain, ( ( c_Transitive__Closure_Otrancl(_u15649, _u15650) = hAPP(hAPP(c_Relation_Orel__comp(_u15649, _u15649, _u15649), c_Transitive__Closure_Ortrancl(_u15649, _u15650)), _u15650)) )).
% 13.06/13.33 cnf(matrix-6692, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15651, _u15651)), hAPP(hAPP(c_Product__Type_OPair(_u15651, _u15651), _u15652), _u15653)), c_Transitive__Closure_Ortrancl(_u15651, _u15654))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15651, _u15651)), hAPP(hAPP(c_Product__Type_OPair(_u15651, _u15651), _u15653), _u15655)), c_Transitive__Closure_Otrancl(_u15651, _u15654))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15651, _u15651)), hAPP(hAPP(c_Product__Type_OPair(_u15651, _u15651), _u15652), _u15655)), c_Transitive__Closure_Otrancl(_u15651, _u15654))) )).
% 13.06/13.33 cnf(matrix-6693, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15656, _u15656)), hAPP(hAPP(c_Product__Type_OPair(_u15656, _u15656), _u15657), _u15658)), c_Transitive__Closure_Otrancl(_u15656, _u15659))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15656, _u15656)), hAPP(hAPP(c_Product__Type_OPair(_u15656, _u15656), _u15658), _u15660)), c_Transitive__Closure_Ortrancl(_u15656, _u15659))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15656, _u15656)), hAPP(hAPP(c_Product__Type_OPair(_u15656, _u15656), _u15657), _u15660)), c_Transitive__Closure_Otrancl(_u15656, _u15659))) )).
% 13.06/13.33 cnf(matrix-6694, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15662), _u15663)), c_Transitive__Closure_Ortrancl(_u15661, _u15664))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15663), _u15665)), _u15664)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15662), _u15665)), c_Transitive__Closure_Otrancl(_u15661, _u15664))) )).
% 13.06/13.33 cnf(matrix-6695, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15666, _u15666)), hAPP(hAPP(c_Product__Type_OPair(_u15666, _u15666), _u15667), _u15668)), c_Transitive__Closure_Ortrancl(_u15666, _u15669))) | ( _u15667 = _u15668) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15666, _u15666)), hAPP(hAPP(c_Product__Type_OPair(_u15666, _u15666), _u15667), _u15668)), c_Transitive__Closure_Otrancl(_u15666, _u15669))) )).
% 13.06/13.33 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15670, _u15670)), hAPP(hAPP(c_Product__Type_OPair(_u15670, _u15670), _u15671), _u15672)), _u15673)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15670, _u15670)), hAPP(hAPP(c_Product__Type_OPair(_u15670, _u15670), _u15672), _u15674)), c_Transitive__Closure_Ortrancl(_u15670, _u15673))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15670, _u15670)), hAPP(hAPP(c_Product__Type_OPair(_u15670, _u15670), _u15671), _u15674)), c_Transitive__Closure_Otrancl(_u15670, _u15673))) )).
% 13.06/13.33 cnf(matrix-6697, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15679, _u15679)), hAPP(hAPP(c_Product__Type_OPair(_u15679, _u15679), _u15681), _u15683)), c_Transitive__Closure_Ortrancl(_u15679, _u15685))) | ( _u15681 = _u15683) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15679, _u15679)), hAPP(hAPP(c_Product__Type_OPair(_u15679, _u15679), _u15681), _u15683)), c_Transitive__Closure_Otrancl(_u15679, _u15685))) )).
% 13.06/13.33 cnf(matrix-6698, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15680, _u15680)), hAPP(hAPP(c_Product__Type_OPair(_u15680, _u15680), _u15682), _u15684)), c_Transitive__Closure_Ortrancl(_u15680, _u15686))) | ( _u15682 != _u15684) )).
% 13.06/13.33 cnf(matrix-6699, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15680, _u15680)), hAPP(hAPP(c_Product__Type_OPair(_u15680, _u15680), _u15682), _u15684)), c_Transitive__Closure_Ortrancl(_u15680, _u15686))) | ( _u15682 = _u15684) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15680, _u15680)), hAPP(hAPP(c_Product__Type_OPair(_u15680, _u15680), _u15682), _u15684)), c_Transitive__Closure_Otrancl(_u15680, _u15686))) )).
% 13.06/13.33 cnf(matrix-6700, plain, ( hBOOL(hAPP(hAPP(c_member(_u15687), _u15688), hAPP(c_Relation_ODomain(_u15687, _u15687), _u15689))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15687, _u15687)), hAPP(hAPP(c_Product__Type_OPair(_u15687, _u15687), _u15688), _u15690)), c_Transitive__Closure_Ortrancl(_u15687, _u15689))) | ( _u15688 = _u15690) )).
% 13.06/13.33 cnf(matrix-6701, plain, ( hBOOL(hAPP(hAPP(c_member(_u15687), _u15688), hAPP(c_Relation_ODomain(_u15687, _u15687), _u15689))) | ( _u15688 != _u15690) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15687, _u15687)), hAPP(hAPP(c_Product__Type_OPair(_u15687, _u15687), _u15688), _u15690)), c_Transitive__Closure_Ortrancl(_u15687, _u15689))) )).
% 13.06/13.33 cnf(matrix-6702, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15691), _u15692), c_Wellfounded_Oacc(_u15691, _u15693))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15691, _u15691)), hAPP(hAPP(c_Product__Type_OPair(_u15691, _u15691), _u15694), _u15692)), c_Transitive__Closure_Ortrancl(_u15691, _u15693))) | hBOOL(hAPP(hAPP(c_member(_u15691), _u15694), c_Wellfounded_Oacc(_u15691, _u15693))) )).
% 13.06/13.33 cnf(matrix-6703, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15695, _u15695)), hAPP(hAPP(c_Product__Type_OPair(_u15695, _u15695), _u15696), _u15697)), c_Transitive__Closure_Ortrancl(_u15695, _u15698))) | ~hBOOL(hAPP(hAPP(c_member(_u15695), _u15697), c_Wellfounded_Oacc(_u15695, _u15698))) | hBOOL(hAPP(hAPP(c_member(_u15695), _u15696), c_Wellfounded_Oacc(_u15695, _u15698))) )).
% 13.06/13.33 cnf(matrix-6704, plain, ( ~c_Wellfounded_Owf(_u15703, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15703, _u15703)), hAPP(hAPP(c_Product__Type_OPair(_u15703, _u15703), _u15705), _u15707)), _u15709)) | c_Wellfounded_Owf(_u15703, _u15709) )).
% 13.06/13.33 cnf(matrix-6705, plain, ( ~c_Wellfounded_Owf(_u15703, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15703, _u15703)), hAPP(hAPP(c_Product__Type_OPair(_u15703, _u15703), _u15705), _u15707)), _u15709)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15703, _u15703)), hAPP(hAPP(c_Product__Type_OPair(_u15703, _u15703), _u15707), _u15705)), c_Transitive__Closure_Ortrancl(_u15703, _u15709))) )).
% 13.06/13.33 cnf(matrix-6706, plain, ( ~c_Wellfounded_Owf(_u15704, _u15710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15704, _u15704)), hAPP(hAPP(c_Product__Type_OPair(_u15704, _u15704), _u15708), _u15706)), c_Transitive__Closure_Ortrancl(_u15704, _u15710))) | c_Wellfounded_Owf(_u15704, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15704, _u15704)), hAPP(hAPP(c_Product__Type_OPair(_u15704, _u15704), _u15706), _u15708)), _u15710)) )).
% 13.06/13.33 cnf(matrix-6707, plain, ( ~c_Wellfounded_Oacyclic(_u15715, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15717), _u15719)), _u15721)) | c_Wellfounded_Oacyclic(_u15715, _u15721) )).
% 13.06/13.33 cnf(matrix-6708, plain, ( ~c_Wellfounded_Oacyclic(_u15715, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15717), _u15719)), _u15721)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15719), _u15717)), c_Transitive__Closure_Ortrancl(_u15715, _u15721))) )).
% 13.06/13.33 cnf(matrix-6709, plain, ( ~c_Wellfounded_Oacyclic(_u15716, _u15722) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15716, _u15716)), hAPP(hAPP(c_Product__Type_OPair(_u15716, _u15716), _u15720), _u15718)), c_Transitive__Closure_Ortrancl(_u15716, _u15722))) | c_Wellfounded_Oacyclic(_u15716, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u15716, _u15716)), hAPP(hAPP(c_Product__Type_OPair(_u15716, _u15716), _u15718), _u15720)), _u15722)) )).
% 13.06/13.33 cnf(matrix-6710, 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), _u15725), _u15727)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15725), _u15727)) )).
% 13.06/13.33 cnf(matrix-6711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15726), _u15728)) | 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), _u15726), _u15728)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 13.06/13.33 cnf(matrix-6712, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15729, _u15729)), hAPP(hAPP(c_Product__Type_OPair(_u15729, _u15729), _u15730), _u15731)), c_Transitive__Closure_Ortrancl(_u15729, _u15732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15729, _u15729), tc_HOL_Obool)), _u15732), hAPP(hAPP(c_Product__Type_OSigma(_u15729, _u15729), _u15733), hAPP(c_COMBK(tc_fun(_u15729, tc_HOL_Obool), _u15729), _u15733)))) | ( _u15730 = _u15731) | hBOOL(hAPP(hAPP(c_member(_u15729), _u15730), _u15733)) )).
% 13.06/13.33 cnf(matrix-6713, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u15734, _u15734), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15734, _u15734), _u15735)), c_Transitive__Closure_Ortrancl(_u15734, _u15735)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u15734, _u15734), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15734, _u15734)), hAPP(hAPP(c_Product__Type_OPair(_u15734, _u15734), _u15736), _u15736)), c_Transitive__Closure_Otrancl(_u15734, _u15735))) )).
% 13.06/13.33 cnf(matrix-6714, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15738), _u15739)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15738, _u15737), _u15739), _u15740) = hAPP(hAPP(c_Finite__Set_Ofold(_u15738, _u15737, hAPP(hAPP(c_COMBB(_u15737, tc_fun(_u15737, _u15737), _u15738), c_Lattices_Osemilattice__inf__class_Oinf(_u15737)), _u15740)), c_Orderings_Otop__class_Otop(_u15737)), _u15739)) )).
% 13.06/13.33 cnf(matrix-6715, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15741, tc_fun(_u15742, tc_fun(_u15743, tc_HOL_Obool))), _u15744), _u15745), _u15746), _u15747)) | hBOOL(hAPP(hAPP(hAPP(_u15745, _u15748), _u15746), _u15747)) | ~hBOOL(hAPP(hAPP(c_member(_u15741), _u15748), _u15744)) )).
% 13.06/13.33 cnf(matrix-6716, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15749, tc_fun(_u15750, tc_fun(_u15751, tc_HOL_Obool))), _u15752), _u15753), _u15754), _u15755)) | ~hBOOL(hAPP(hAPP(c_member(_u15749), _u15756), _u15752)) | hBOOL(hAPP(hAPP(hAPP(_u15753, _u15756), _u15754), _u15755)) )).
% 13.06/13.33 cnf(matrix-6717, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15757), _u15758), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15759, tc_fun(_u15757, tc_HOL_Obool)), _u15760), _u15761))) | ~hBOOL(hAPP(hAPP(c_member(_u15759), _u15762), _u15760)) | hBOOL(hAPP(hAPP(c_member(_u15757), _u15758), hAPP(_u15761, _u15762))) )).
% 13.06/13.33 cnf(matrix-6718, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15763), _u15764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15765, tc_fun(_u15763, tc_HOL_Obool)), _u15766), _u15767))) | hBOOL(hAPP(hAPP(c_member(_u15763), _u15764), hAPP(_u15767, _u15768))) | ~hBOOL(hAPP(hAPP(c_member(_u15765), _u15768), _u15766)) )).
% 13.06/13.33 cnf(matrix-6719, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15769, tc_fun(_u15770, tc_HOL_Obool)), _u15771), _u15772), _u15773)) | ~hBOOL(hAPP(hAPP(c_member(_u15769), _u15774), _u15771)) | hBOOL(hAPP(hAPP(_u15772, _u15774), _u15773)) )).
% 13.06/13.33 cnf(matrix-6720, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15775, tc_fun(_u15776, tc_HOL_Obool)), _u15777), _u15778), _u15779)) | hBOOL(hAPP(hAPP(_u15778, _u15780), _u15779)) | ~hBOOL(hAPP(hAPP(c_member(_u15775), _u15780), _u15777)) )).
% 13.06/13.33 cnf(matrix-6721, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15782), _u15781), _u15783)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15784), hAPP(_u15785, _u15781))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15784), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15782, tc_fun(_u15784, tc_HOL_Obool)), _u15783), _u15785))) )).
% 13.06/13.33 cnf(matrix-6722, plain, ( ( c_Transitive__Closure_Ortrancl(_u15786, hAPP(c_Relation_Oconverse(_u15786, _u15786), _u15787)) = hAPP(c_Relation_Oconverse(_u15786, _u15786), c_Transitive__Closure_Ortrancl(_u15786, _u15787))) )).
% 13.06/13.33 cnf(matrix-6723, plain, ( ( c_Transitive__Closure_Otrancl(_u15788, hAPP(c_Relation_Oconverse(_u15788, _u15788), _u15789)) = hAPP(c_Relation_Oconverse(_u15788, _u15788), c_Transitive__Closure_Otrancl(_u15788, _u15789))) )).
% 13.06/13.33 cnf(matrix-6724, plain, ( ~c_Wellfounded_Owf(_u15790, hAPP(c_Relation_Oconverse(_u15790, _u15790), _u15791)) | c_Wellfounded_Owf(_u15790, hAPP(c_Relation_Oconverse(_u15790, _u15790), c_Transitive__Closure_Otrancl(_u15790, _u15791))) )).
% 13.06/13.33 cnf(matrix-6725, plain, ( ( hAPP(c_Relation_ORange(_u15792, _u15793), hAPP(c_Relation_Oconverse(_u15793, _u15792), _u15794)) = hAPP(c_Relation_ODomain(_u15793, _u15792), _u15794)) )).
% 13.06/13.33 cnf(matrix-6726, plain, ( ( hAPP(c_Relation_ODomain(_u15795, _u15796), hAPP(c_Relation_Oconverse(_u15796, _u15795), _u15797)) = hAPP(c_Relation_ORange(_u15796, _u15795), _u15797)) )).
% 13.06/13.33 cnf(matrix-6727, plain, ( ( hAPP(c_Relation_ORange(_u15798, _u15799), _u15800) = hAPP(c_Relation_ODomain(_u15799, _u15798), hAPP(c_Relation_Oconverse(_u15798, _u15799), _u15800))) )).
% 13.06/13.33 cnf(matrix-6728, plain, ( ( hAPP(c_Set_Ovimage(_u15801, _u15802, _u15803), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15804, tc_fun(_u15802, tc_HOL_Obool)), _u15805), _u15806)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15804, tc_fun(_u15801, tc_HOL_Obool)), _u15805), hAPP(hAPP(c_COMBB(tc_fun(_u15802, tc_HOL_Obool), tc_fun(_u15801, tc_HOL_Obool), _u15804), c_Set_Ovimage(_u15801, _u15802, _u15803)), _u15806))) )).
% 13.06/13.33 cnf(matrix-6729, plain, ( ~c_Wellfounded_Oacyclic(_u15809, hAPP(c_Relation_Oconverse(_u15809, _u15809), _u15811)) | c_Wellfounded_Oacyclic(_u15809, _u15811) )).
% 13.06/13.33 cnf(matrix-6730, plain, ( ~c_Wellfounded_Oacyclic(_u15810, _u15812) | c_Wellfounded_Oacyclic(_u15810, hAPP(c_Relation_Oconverse(_u15810, _u15810), _u15812)) )).
% 13.06/13.33 cnf(matrix-6731, plain, ( ( _u15817 != c_Orderings_Obot__class_Obot(tc_fun(_u15819, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15819, tc_fun(_u15821, tc_HOL_Obool)), _u15817), hAPP(c_COMBK(tc_fun(_u15821, tc_HOL_Obool), _u15819), _u15823)) = c_Orderings_Otop__class_Otop(tc_fun(_u15821, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6732, plain, ( ( _u15818 = c_Orderings_Obot__class_Obot(tc_fun(_u15820, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15820, tc_fun(_u15822, tc_HOL_Obool)), _u15818), hAPP(c_COMBK(tc_fun(_u15822, tc_HOL_Obool), _u15820), _u15824)) = _u15824) )).
% 13.06/13.33 cnf(matrix-6733, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15825, tc_fun(_u15826, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u15825, tc_HOL_Obool))), _u15827) = c_Orderings_Otop__class_Otop(tc_fun(_u15826, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6734, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15828) | ( _u15829 = c_Orderings_Obot__class_Obot(tc_fun(_u15830, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15830, _u15828), _u15829), hAPP(c_COMBK(_u15828, _u15830), _u15831)) = _u15831) )).
% 13.06/13.33 cnf(matrix-6735, plain, ( ( _u15837 != c_Orderings_Obot__class_Obot(tc_fun(_u15839, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15841, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15839, tc_fun(_u15841, tc_HOL_Obool)), _u15837), _u15843)), _u15845) = _u15845) )).
% 13.06/13.33 cnf(matrix-6736, plain, ( ( _u15838 = c_Orderings_Obot__class_Obot(tc_fun(_u15840, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15842, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15840, tc_fun(_u15842, tc_HOL_Obool)), _u15838), _u15844)), _u15846) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15840, tc_fun(_u15842, tc_HOL_Obool)), _u15838), hAPP(hAPP(c_COMBC(_u15840, tc_fun(_u15842, tc_HOL_Obool), tc_fun(_u15842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15842, tc_HOL_Obool), tc_fun(tc_fun(_u15842, tc_HOL_Obool), tc_fun(_u15842, tc_HOL_Obool)), _u15840), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15842, tc_HOL_Obool))), _u15844)), _u15846))) )).
% 13.06/13.33 cnf(matrix-6737, plain, ( ( _u15852 != c_Orderings_Obot__class_Obot(tc_fun(_u15854, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15856, tc_HOL_Obool)), _u15858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15854, tc_fun(_u15856, tc_HOL_Obool)), _u15852), _u15860)) = _u15858) )).
% 13.06/13.33 cnf(matrix-6738, plain, ( ( _u15853 = c_Orderings_Obot__class_Obot(tc_fun(_u15855, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15857, tc_HOL_Obool)), _u15859), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15855, tc_fun(_u15857, tc_HOL_Obool)), _u15853), _u15861)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15855, tc_fun(_u15857, tc_HOL_Obool)), _u15853), hAPP(hAPP(c_COMBB(tc_fun(_u15857, tc_HOL_Obool), tc_fun(_u15857, tc_HOL_Obool), _u15855), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15857, tc_HOL_Obool)), _u15859)), _u15861))) )).
% 13.06/13.33 cnf(matrix-6739, plain, ( ( hAPP(c_Relation_Oconverse(_u15862, _u15863), hAPP(hAPP(c_Relation_Orel__comp(_u15862, _u15864, _u15863), _u15865), _u15866)) = hAPP(hAPP(c_Relation_Orel__comp(_u15863, _u15864, _u15862), hAPP(c_Relation_Oconverse(_u15864, _u15863), _u15866)), hAPP(c_Relation_Oconverse(_u15862, _u15864), _u15865))) )).
% 13.06/13.33 cnf(matrix-6740, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15867, tc_fun(_u15868, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15867, tc_HOL_Obool)), _u15869), _u15870)), _u15871) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15868, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15867, tc_fun(_u15868, tc_HOL_Obool)), _u15869), _u15871)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15867, tc_fun(_u15868, tc_HOL_Obool)), _u15870), _u15871))) )).
% 13.06/13.33 cnf(matrix-6741, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15872, tc_fun(_u15873, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u15872), _u15874), _u15875)), _u15876) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15873, tc_HOL_Obool)), hAPP(_u15876, _u15874)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15872, tc_fun(_u15873, tc_HOL_Obool)), _u15875), _u15876))) )).
% 13.06/13.33 cnf(matrix-6742, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15881, _u15879), _u15882), _u15883))) | ~hBOOL(hAPP(hAPP(c_member(_u15881), _u15877), _u15882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(_u15883, _u15877))) )).
% 13.06/13.33 cnf(matrix-6743, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15879) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15881, _u15879), _u15882), _u15883))) | hBOOL(hAPP(hAPP(c_member(_u15881), skolem380(_u15883, _u15882, _u15881, _u15880, _u15879)), _u15882)) )).
% 13.06/13.33 cnf(matrix-6744, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15879) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15881, _u15879), _u15882), _u15883))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15879), _u15880), hAPP(_u15883, skolem380(_u15883, _u15882, _u15881, _u15880, _u15879)))) )).
% 13.06/13.33 cnf(matrix-6745, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15884), _u15885), _u15886)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15884, tc_fun(_u15887, tc_HOL_Obool)), _u15886), hAPP(hAPP(c_COMBB(tc_fun(_u15887, tc_HOL_Obool), tc_fun(_u15887, tc_HOL_Obool), _u15884), hAPP(c_Set_Oinsert(_u15887), _u15888)), _u15889)) = hAPP(hAPP(c_Set_Oinsert(_u15887), _u15888), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15884, tc_fun(_u15887, tc_HOL_Obool)), _u15886), _u15889))) )).
% 13.06/13.33 cnf(matrix-6746, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15890), _u15891), _u15892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15893, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15890, tc_fun(_u15893, tc_HOL_Obool)), _u15892), _u15894)), hAPP(_u15894, _u15891))) )).
% 13.06/13.33 cnf(matrix-6747, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15895, tc_fun(_u15896, tc_HOL_Obool)), _u15897), hAPP(hAPP(c_COMBB(tc_fun(_u15896, tc_HOL_Obool), tc_fun(_u15896, tc_HOL_Obool), _u15895), hAPP(c_Set_Oinsert(_u15896), _u15898)), _u15899)) = hAPP(hAPP(c_Set_Oinsert(_u15896), _u15898), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15895, tc_fun(_u15896, tc_HOL_Obool)), _u15897), _u15899))) )).
% 13.06/13.33 cnf(matrix-6748, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u15900), _u15901), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15902, tc_fun(_u15900, tc_HOL_Obool)), _u15903), _u15904)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15902, tc_fun(_u15900, tc_HOL_Obool)), _u15903), hAPP(hAPP(c_COMBB(tc_fun(_u15900, tc_HOL_Obool), tc_fun(_u15900, tc_HOL_Obool), _u15902), hAPP(c_Set_Oinsert(_u15900), _u15901)), _u15904))) )).
% 13.06/13.33 cnf(matrix-6749, plain, ( ( hAPP(c_Relation_Oconverse(_u15905, _u15906), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15905, _u15906), tc_HOL_Obool)), _u15907), _u15908)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u15906, _u15905), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u15905, _u15906), _u15907)), hAPP(c_Relation_Oconverse(_u15905, _u15906), _u15908))) )).
% 13.06/13.33 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15916, tc_HOL_Obool)), _u15918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15920, tc_fun(_u15916, tc_HOL_Obool)), _u15922), _u15924))) | ~hBOOL(hAPP(hAPP(c_member(_u15920), _u15909), _u15922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15916, tc_HOL_Obool)), _u15918), hAPP(_u15924, _u15909))) )).
% 13.06/13.33 cnf(matrix-6751, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15917, tc_HOL_Obool)), _u15919), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15921, tc_fun(_u15917, tc_HOL_Obool)), _u15923), _u15925))) | hBOOL(hAPP(hAPP(c_member(_u15921), skolem381(_u15925, _u15923, _u15921, _u15919, _u15917)), _u15923)) )).
% 13.06/13.33 cnf(matrix-6752, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15917, tc_HOL_Obool)), _u15919), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15921, tc_fun(_u15917, tc_HOL_Obool)), _u15923), _u15925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15917, tc_HOL_Obool)), _u15919), hAPP(_u15925, skolem381(_u15925, _u15923, _u15921, _u15919, _u15917)))) )).
% 13.06/13.33 cnf(matrix-6753, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15926, tc_fun(_u15927, tc_HOL_Obool)), _u15928), hAPP(hAPP(c_COMBB(tc_fun(_u15927, tc_HOL_Obool), tc_fun(_u15927, tc_HOL_Obool), _u15926), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15927, tc_HOL_Obool)), _u15929)), _u15930)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15927, tc_HOL_Obool)), _u15929), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15926, tc_fun(_u15927, tc_HOL_Obool)), _u15928), _u15930))) )).
% 13.06/13.33 cnf(matrix-6754, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15931, tc_fun(_u15932, tc_HOL_Obool)), _u15933), hAPP(hAPP(c_COMBC(_u15931, tc_fun(_u15932, tc_HOL_Obool), tc_fun(_u15932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15932, tc_HOL_Obool), tc_fun(tc_fun(_u15932, tc_HOL_Obool), tc_fun(_u15932, tc_HOL_Obool)), _u15931), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15932, tc_HOL_Obool))), _u15934)), _u15935)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15932, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15931, tc_fun(_u15932, tc_HOL_Obool)), _u15933), _u15934)), _u15935)) )).
% 13.06/13.33 cnf(matrix-6755, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15936, tc_HOL_Obool)), _u15937), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15938, tc_fun(_u15936, tc_HOL_Obool)), _u15939), _u15940)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15938, tc_fun(_u15936, tc_HOL_Obool)), _u15939), hAPP(hAPP(c_COMBB(tc_fun(_u15936, tc_HOL_Obool), tc_fun(_u15936, tc_HOL_Obool), _u15938), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15936, tc_HOL_Obool)), _u15937)), _u15940))) )).
% 13.06/13.33 cnf(matrix-6756, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15941, tc_HOL_Obool)), _u15942), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15943, tc_fun(_u15941, tc_HOL_Obool)), _u15944), _u15945)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15943, tc_fun(_u15941, tc_HOL_Obool)), _u15944), hAPP(hAPP(c_COMBB(tc_fun(_u15941, tc_HOL_Obool), tc_fun(_u15941, tc_HOL_Obool), _u15943), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15941, tc_HOL_Obool)), _u15942)), _u15945))) )).
% 13.06/13.33 cnf(matrix-6757, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15946, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15947, tc_fun(_u15946, tc_HOL_Obool)), _u15948), _u15949)), _u15950) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15947, tc_fun(_u15946, tc_HOL_Obool)), _u15948), hAPP(hAPP(c_COMBC(_u15947, tc_fun(_u15946, tc_HOL_Obool), tc_fun(_u15946, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15946, tc_HOL_Obool), tc_fun(tc_fun(_u15946, tc_HOL_Obool), tc_fun(_u15946, tc_HOL_Obool)), _u15947), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15946, tc_HOL_Obool))), _u15949)), _u15950))) )).
% 13.06/13.33 cnf(matrix-6758, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15952, tc_fun(_u15951, tc_HOL_Obool)), _u15953), _u15954)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15955, tc_fun(_u15951, tc_HOL_Obool)), _u15956), _u15957)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15952, tc_fun(_u15951, tc_HOL_Obool)), _u15953), hAPP(hAPP(c_COMBB(tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool)), tc_fun(_u15951, tc_HOL_Obool), _u15952), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15955, tc_fun(_u15951, tc_HOL_Obool)), _u15956)), hAPP(hAPP(c_COMBC(_u15952, tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool)), tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15951, tc_HOL_Obool), tc_fun(_u15951, tc_HOL_Obool)), tc_fun(tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool)), tc_fun(_u15955, tc_fun(_u15951, tc_HOL_Obool))), _u15952), c_COMBB(tc_fun(_u15951, tc_HOL_Obool), tc_fun(_u15951, tc_HOL_Obool), _u15955)), hAPP(hAPP(c_COMBB(tc_fun(_u15951, tc_HOL_Obool), tc_fun(tc_fun(_u15951, tc_HOL_Obool), tc_fun(_u15951, tc_HOL_Obool)), _u15952), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15951, tc_HOL_Obool))), _u15954))), _u15957)))) )).
% 13.06/13.33 cnf(matrix-6759, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15958, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15959, _u15958, _u15960), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15961, tc_fun(_u15959, tc_HOL_Obool)), _u15962), _u15963))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15961, tc_fun(_u15958, tc_HOL_Obool)), _u15962), hAPP(hAPP(c_COMBB(tc_fun(_u15959, tc_HOL_Obool), tc_fun(_u15958, tc_HOL_Obool), _u15961), c_Relation_OImage(_u15959, _u15958, _u15960)), _u15963)))) )).
% 13.06/13.33 cnf(matrix-6760, plain, ( ( hAPP(c_Set_OPow(_u15964), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15965, tc_fun(_u15964, tc_HOL_Obool)), _u15966), _u15967)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15965, tc_fun(tc_fun(_u15964, tc_HOL_Obool), tc_HOL_Obool)), _u15966), hAPP(hAPP(c_COMBB(tc_fun(_u15964, tc_HOL_Obool), tc_fun(tc_fun(_u15964, tc_HOL_Obool), tc_HOL_Obool), _u15965), c_Set_OPow(_u15964)), _u15967))) )).
% 13.06/13.33 cnf(matrix-6761, plain, ( ( hAPP(c_Relation_Oconverse(_u15968, _u15968), c_Relation_OId__on(_u15968, _u15969)) = c_Relation_OId__on(_u15968, _u15969)) )).
% 13.06/13.33 cnf(matrix-6762, plain, ( ( hAPP(c_Relation_OField(_u15970), hAPP(c_Relation_Oconverse(_u15970, _u15970), _u15971)) = hAPP(c_Relation_OField(_u15970), _u15971)) )).
% 13.06/13.33 cnf(matrix-6763, plain, ( ( hAPP(c_Relation_Oconverse(_u15972, _u15973), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15974, tc_fun(tc_prod(_u15972, _u15973), tc_HOL_Obool)), _u15975), _u15976)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15974, tc_fun(tc_prod(_u15973, _u15972), tc_HOL_Obool)), _u15975), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15972, _u15973), tc_HOL_Obool), tc_fun(tc_prod(_u15973, _u15972), tc_HOL_Obool), _u15974), c_Relation_Oconverse(_u15972, _u15973)), _u15976))) )).
% 13.06/13.33 cnf(matrix-6764, plain, ( ( hAPP(c_Relation_Oconverse(_u15977, _u15978), hAPP(c_Relation_Oconverse(_u15978, _u15977), _u15979)) = _u15979) )).
% 13.06/13.33 cnf(matrix-6765, plain, ( ( hAPP(c_Relation_Oconverse(_u15980, _u15980), hAPP(hAPP(c_Relation_Oinv__image(_u15981, _u15980), _u15982), _u15983)) = hAPP(hAPP(c_Relation_Oinv__image(_u15981, _u15980), hAPP(c_Relation_Oconverse(_u15981, _u15981), _u15982)), _u15983)) )).
% 13.06/13.33 cnf(matrix-6766, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15984) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15985, _u15984), _u15986), hAPP(hAPP(c_COMBB(tc_fun(_u15987, _u15984), _u15984, _u15985), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15987, _u15984), _u15988)), _u15989)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15987, _u15984), _u15988), hAPP(hAPP(c_COMBB(tc_fun(_u15985, _u15984), _u15984, _u15987), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15985, _u15984), _u15986)), hAPP(c_COMBC(_u15985, _u15987, _u15984), _u15989)))) )).
% 13.06/13.33 cnf(matrix-6767, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15990) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15991, tc_fun(_u15992, _u15990)), _u15993), _u15994), _u15995) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15991, _u15990), _u15993), hAPP(hAPP(c_COMBC(_u15991, _u15992, _u15990), _u15994), _u15995))) )).
% 13.06/13.33 cnf(matrix-6768, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15996, tc_fun(_u15997, tc_HOL_Obool)), _u15998), hAPP(hAPP(c_COMBS(_u15996, tc_fun(_u15997, tc_HOL_Obool), tc_fun(_u15997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15997, tc_HOL_Obool), tc_fun(tc_fun(_u15997, tc_HOL_Obool), tc_fun(_u15997, tc_HOL_Obool)), _u15996), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15997, tc_HOL_Obool))), _u15999)), _u16000)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15997, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15996, tc_fun(_u15997, tc_HOL_Obool)), _u15998), _u15999)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15996, tc_fun(_u15997, tc_HOL_Obool)), _u15998), _u16000))) )).
% 13.06/13.33 cnf(matrix-6769, plain, ( ( hAPP(c_Relation_Oconverse(_u16001, _u16002), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16001, _u16002), tc_HOL_Obool)), _u16003), _u16004)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16002, _u16001), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u16001, _u16002), _u16003)), hAPP(c_Relation_Oconverse(_u16001, _u16002), _u16004))) )).
% 13.06/13.33 cnf(matrix-6770, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16011, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16013, tc_fun(_u16011, tc_HOL_Obool)), _u16015), _u16017)) | ~hBOOL(hAPP(hAPP(c_member(_u16013), _u16005), _u16015)) | ( hAPP(_u16017, _u16005) = c_Orderings_Otop__class_Otop(tc_fun(_u16011, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6771, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16012, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16014, tc_fun(_u16012, tc_HOL_Obool)), _u16016), _u16018)) | hBOOL(hAPP(hAPP(c_member(_u16014), skolem382(_u16018, _u16016, _u16014, _u16012)), _u16016)) )).
% 13.06/13.33 cnf(matrix-6772, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u16012, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16014, tc_fun(_u16012, tc_HOL_Obool)), _u16016), _u16018)) | ( hAPP(_u16018, skolem382(_u16018, _u16016, _u16014, _u16012)) != c_Orderings_Otop__class_Otop(tc_fun(_u16012, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6773, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16025, tc_fun(_u16027, tc_HOL_Obool)), _u16029), _u16031) != c_Orderings_Otop__class_Otop(tc_fun(_u16027, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u16025), _u16019), _u16029)) | ( hAPP(_u16031, _u16019) = c_Orderings_Otop__class_Otop(tc_fun(_u16027, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6774, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16026, tc_fun(_u16028, tc_HOL_Obool)), _u16030), _u16032) = c_Orderings_Otop__class_Otop(tc_fun(_u16028, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u16026), skolem383(_u16032, _u16030, _u16028, _u16026)), _u16030)) )).
% 13.06/13.33 cnf(matrix-6775, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16026, tc_fun(_u16028, tc_HOL_Obool)), _u16030), _u16032) = c_Orderings_Otop__class_Otop(tc_fun(_u16028, tc_HOL_Obool))) | ( hAPP(_u16032, skolem383(_u16032, _u16030, _u16028, _u16026)) != c_Orderings_Otop__class_Otop(tc_fun(_u16028, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6776, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16036, _u16038)), hAPP(c_Relation_Oconverse(_u16038, _u16036), _u16040))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16038, _u16036)), _u16040)) )).
% 13.06/13.33 cnf(matrix-6777, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16039, _u16037)), _u16041)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16037, _u16039)), hAPP(c_Relation_Oconverse(_u16039, _u16037), _u16041))) )).
% 13.06/13.33 cnf(matrix-6778, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16048, tc_fun(_u16050, tc_fun(_u16052, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16048, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_fun(_u16050, tc_fun(_u16052, tc_HOL_Obool)), _u16048), hAPP(c_COMBC(_u16050, tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_fun(_u16052, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16052, tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_fun(_u16052, tc_HOL_Obool)), _u16050), c_COMBC(_u16052, tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16052, tc_prod(_u16050, _u16052)), tc_fun(_u16052, tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool)), _u16050), hAPP(c_COMBB(tc_prod(_u16050, _u16052), tc_fun(tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool), tc_HOL_Obool), _u16052), c_member(tc_prod(_u16050, _u16052)))), c_Product__Type_OPair(_u16050, _u16052))))), _u16054)), _u16056), _u16058)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16050, _u16052)), hAPP(hAPP(c_Product__Type_OPair(_u16050, _u16052), _u16056), _u16058)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16048, tc_fun(tc_prod(_u16050, _u16052), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16048, tc_HOL_Obool))), _u16054))) )).
% 13.06/13.33 cnf(matrix-6779, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16051, _u16053)), hAPP(hAPP(c_Product__Type_OPair(_u16051, _u16053), _u16057), _u16059)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16049, tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16049, tc_HOL_Obool))), _u16055))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16049, tc_fun(_u16051, tc_fun(_u16053, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u16049, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_fun(_u16051, tc_fun(_u16053, tc_HOL_Obool)), _u16049), hAPP(c_COMBC(_u16051, tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_fun(_u16053, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16053, tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_fun(_u16053, tc_HOL_Obool)), _u16051), c_COMBC(_u16053, tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16053, tc_prod(_u16051, _u16053)), tc_fun(_u16053, tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool)), _u16051), hAPP(c_COMBB(tc_prod(_u16051, _u16053), tc_fun(tc_fun(tc_prod(_u16051, _u16053), tc_HOL_Obool), tc_HOL_Obool), _u16053), c_member(tc_prod(_u16051, _u16053)))), c_Product__Type_OPair(_u16051, _u16053))))), _u16055)), _u16057), _u16059)) )).
% 13.06/13.33 cnf(matrix-6780, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16067), _u16069), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16071, tc_fun(_u16067, tc_HOL_Obool)), _u16073), _u16075))) | ~hBOOL(hAPP(hAPP(c_member(_u16071), _u16060), _u16073)) | hBOOL(hAPP(hAPP(c_member(_u16067), _u16069), hAPP(_u16075, _u16060))) )).
% 13.06/13.33 cnf(matrix-6781, plain, ( hBOOL(hAPP(hAPP(c_member(_u16068), _u16070), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16072, tc_fun(_u16068, tc_HOL_Obool)), _u16074), _u16076))) | hBOOL(hAPP(hAPP(c_member(_u16072), skolem384(_u16076, _u16074, _u16072, _u16070, _u16068)), _u16074)) )).
% 13.06/13.33 cnf(matrix-6782, plain, ( hBOOL(hAPP(hAPP(c_member(_u16068), _u16070), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16072, tc_fun(_u16068, tc_HOL_Obool)), _u16074), _u16076))) | ~hBOOL(hAPP(hAPP(c_member(_u16068), _u16070), hAPP(_u16076, skolem384(_u16076, _u16074, _u16072, _u16070, _u16068)))) )).
% 13.06/13.33 cnf(matrix-6783, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16077), _u16078), _u16079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16080, tc_HOL_Obool)), hAPP(_u16081, _u16078)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16077, tc_fun(_u16080, tc_HOL_Obool)), _u16079), _u16081)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16077, tc_fun(_u16080, tc_HOL_Obool)), _u16079), _u16081)) )).
% 13.06/13.33 cnf(matrix-6784, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16086, tc_fun(_u16088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16086, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16088, tc_HOL_Obool), tc_fun(_u16088, tc_HOL_Obool), _u16086), hAPP(c_COMBC(_u16088, tc_fun(_u16088, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16088))), _u16090)), _u16092)) | hBOOL(hAPP(hAPP(c_member(_u16088), _u16092), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16086, tc_fun(_u16088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16086, tc_HOL_Obool))), _u16090))) )).
% 13.06/13.33 cnf(matrix-6785, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16089), _u16093), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16087, tc_fun(_u16089, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16087, tc_HOL_Obool))), _u16091))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16087, tc_fun(_u16089, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16087, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u16089, tc_HOL_Obool), tc_fun(_u16089, tc_HOL_Obool), _u16087), hAPP(c_COMBC(_u16089, tc_fun(_u16089, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16089))), _u16091)), _u16093)) )).
% 13.06/13.33 cnf(matrix-6786, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16096) | ~class_Orderings_Olinorder(_u16096) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16097, _u16096), _u16098), _u16099)), _u16100)) | hBOOL(hAPP(hAPP(c_member(_u16097), skolem385(_u16100, _u16099, _u16098, _u16097, _u16096)), _u16098)) )).
% 13.06/13.33 cnf(matrix-6787, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16096) | ~class_Orderings_Olinorder(_u16096) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16097, _u16096), _u16098), _u16099)), _u16100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(_u16099, skolem385(_u16100, _u16099, _u16098, _u16097, _u16096))), _u16100)) )).
% 13.06/13.33 cnf(matrix-6788, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16096) | ~class_Orderings_Olinorder(_u16096) | ~hBOOL(hAPP(hAPP(c_member(_u16097), _u16095), _u16098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(_u16099, _u16095)), _u16100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16096), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16097, _u16096), _u16098), _u16099)), _u16100)) )).
% 13.06/13.33 cnf(matrix-6789, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16106, _u16108), _u16110), _u16112)), hAPP(c_Relation_Oconverse(_u16108, _u16106), _u16114))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16108, _u16106)), hAPP(hAPP(c_Product__Type_OPair(_u16108, _u16106), _u16112), _u16110)), _u16114)) )).
% 13.06/13.33 cnf(matrix-6790, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16109, _u16107)), hAPP(hAPP(c_Product__Type_OPair(_u16109, _u16107), _u16113), _u16111)), _u16115)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16109)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16109), _u16111), _u16113)), hAPP(c_Relation_Oconverse(_u16109, _u16107), _u16115))) )).
% 13.06/13.33 cnf(matrix-6791, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16116, _u16117)), hAPP(hAPP(c_Product__Type_OPair(_u16116, _u16117), _u16118), _u16119)), _u16120)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16117, _u16116)), hAPP(hAPP(c_Product__Type_OPair(_u16117, _u16116), _u16119), _u16118)), hAPP(c_Relation_Oconverse(_u16116, _u16117), _u16120))) )).
% 13.06/13.33 cnf(matrix-6792, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16121, _u16122)), hAPP(hAPP(c_Product__Type_OPair(_u16121, _u16122), _u16123), _u16124)), hAPP(c_Relation_Oconverse(_u16122, _u16121), _u16125))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16122, _u16121)), hAPP(hAPP(c_Product__Type_OPair(_u16122, _u16121), _u16124), _u16123)), _u16125)) )).
% 13.06/13.33 cnf(matrix-6793, plain, ( ~c_Relation_Orefl__on(_u16129, _u16131, hAPP(c_Relation_Oconverse(_u16129, _u16129), _u16133)) | c_Relation_Orefl__on(_u16129, _u16131, _u16133) )).
% 13.06/13.33 cnf(matrix-6794, plain, ( ~c_Relation_Orefl__on(_u16130, _u16132, _u16134) | c_Relation_Orefl__on(_u16130, _u16132, hAPP(c_Relation_Oconverse(_u16130, _u16130), _u16134)) )).
% 13.06/13.33 cnf(matrix-6795, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16135, tc_fun(_u16136, tc_HOL_Obool)), _u16137), hAPP(hAPP(c_COMBB(_u16138, tc_fun(_u16136, tc_HOL_Obool), _u16135), _u16139), _u16140)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16138, tc_fun(_u16136, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16135, _u16138, _u16140), _u16137)), _u16139)) )).
% 13.06/13.33 cnf(matrix-6796, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16141, tc_fun(_u16142, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u16143, _u16141, _u16144), _u16145)), _u16146) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16143, tc_fun(_u16142, tc_HOL_Obool)), _u16145), hAPP(hAPP(c_COMBB(_u16141, tc_fun(_u16142, tc_HOL_Obool), _u16143), _u16146), _u16144))) )).
% 13.06/13.33 cnf(matrix-6797, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16147, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16148, tc_fun(_u16147, tc_HOL_Obool)), _u16149), _u16150)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16148, tc_fun(_u16147, tc_HOL_Obool)), _u16149), hAPP(hAPP(c_COMBB(tc_fun(_u16147, tc_HOL_Obool), tc_fun(_u16147, tc_HOL_Obool), _u16148), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16147, tc_HOL_Obool))), _u16150))) )).
% 13.06/13.33 cnf(matrix-6798, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16151, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16152, tc_fun(_u16151, tc_HOL_Obool)), _u16153), _u16154)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16152, tc_fun(_u16151, tc_HOL_Obool)), _u16153), hAPP(hAPP(c_COMBB(tc_fun(_u16151, tc_HOL_Obool), tc_fun(_u16151, tc_HOL_Obool), _u16152), c_Groups_Ouminus__class_Ouminus(tc_fun(_u16151, tc_HOL_Obool))), _u16154))) )).
% 13.06/13.33 cnf(matrix-6799, plain, ( ( hAPP(c_Relation_Oconverse(_u16155, _u16156), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16157, tc_fun(tc_prod(_u16155, _u16156), tc_HOL_Obool)), _u16158), _u16159)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16157, tc_fun(tc_prod(_u16156, _u16155), tc_HOL_Obool)), _u16158), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16155, _u16156), tc_HOL_Obool), tc_fun(tc_prod(_u16156, _u16155), tc_HOL_Obool), _u16157), c_Relation_Oconverse(_u16155, _u16156)), _u16159))) )).
% 13.06/13.33 cnf(matrix-6800, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16160, tc_fun(_u16161, tc_HOL_Obool)), _u16162), hAPP(hAPP(c_COMBC(_u16160, tc_fun(_u16163, tc_fun(_u16161, tc_HOL_Obool)), tc_fun(_u16161, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16163, tc_HOL_Obool), tc_fun(tc_fun(_u16163, tc_fun(_u16161, tc_HOL_Obool)), tc_fun(_u16161, tc_HOL_Obool)), _u16160), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16163, tc_fun(_u16161, tc_HOL_Obool))), _u16164)), _u16165)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16163, tc_fun(_u16161, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16160, tc_fun(_u16163, tc_HOL_Obool)), _u16162), _u16164)), _u16165)) )).
% 13.06/13.33 cnf(matrix-6801, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16166, tc_fun(_u16167, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16168, tc_fun(_u16166, tc_HOL_Obool)), _u16169), _u16170)), _u16171) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16168, tc_fun(_u16167, tc_HOL_Obool)), _u16169), hAPP(hAPP(c_COMBC(_u16168, tc_fun(_u16166, tc_fun(_u16167, tc_HOL_Obool)), tc_fun(_u16167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16166, tc_HOL_Obool), tc_fun(tc_fun(_u16166, tc_fun(_u16167, tc_HOL_Obool)), tc_fun(_u16167, tc_HOL_Obool)), _u16168), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16166, tc_fun(_u16167, tc_HOL_Obool))), _u16170)), _u16171))) )).
% 13.06/13.33 cnf(matrix-6802, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16172, tc_fun(_u16173, tc_HOL_Obool)), _u16174), hAPP(hAPP(c_COMBB(tc_fun(_u16173, tc_HOL_Obool), tc_fun(_u16173, tc_HOL_Obool), _u16172), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16173, tc_HOL_Obool)), _u16175)), _u16176)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16173, tc_HOL_Obool)), _u16175), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16172, tc_fun(_u16173, tc_HOL_Obool)), _u16174), _u16176))) )).
% 13.06/13.33 cnf(matrix-6803, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16177, tc_HOL_Obool)), _u16178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16179, tc_fun(_u16177, tc_HOL_Obool)), _u16180), _u16181)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16179, tc_fun(_u16177, tc_HOL_Obool)), _u16180), hAPP(hAPP(c_COMBB(tc_fun(_u16177, tc_HOL_Obool), tc_fun(_u16177, tc_HOL_Obool), _u16179), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16177, tc_HOL_Obool)), _u16178)), _u16181))) )).
% 13.06/13.33 cnf(matrix-6804, plain, ( ( hAPP(c_Set_OCollect(_u16182), hAPP(hAPP(c_COMBB(tc_fun(_u16183, tc_HOL_Obool), tc_HOL_Obool, _u16182), c_HOL_OAll(_u16183)), hAPP(hAPP(c_COMBB(tc_fun(_u16183, tc_HOL_Obool), tc_fun(_u16183, tc_HOL_Obool), _u16182), hAPP(c_COMBS(_u16183, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16183), c_fimplies), hAPP(hAPP(c_COMBC(_u16183, tc_fun(_u16183, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16183)), _u16184)))), _u16185))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16183, tc_fun(_u16182, tc_HOL_Obool)), _u16184), hAPP(hAPP(c_COMBB(tc_fun(_u16182, tc_HOL_Obool), tc_fun(_u16182, tc_HOL_Obool), _u16183), c_Set_OCollect(_u16182)), hAPP(c_COMBC(_u16182, _u16183, tc_HOL_Obool), _u16185)))) )).
% 13.06/13.33 cnf(matrix-6805, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16186, tc_HOL_Obool) = c_Set_OBall(_u16186)) )).
% 13.06/13.33 cnf(matrix-6806, plain, ( ~c_Equiv__Relations_Oequiv(_u16187, _u16188, _u16189) | ( hAPP(hAPP(c_Relation_Orel__comp(_u16187, _u16187, _u16187), hAPP(c_Relation_Oconverse(_u16187, _u16187), _u16189)), _u16189) = _u16189) )).
% 13.06/13.33 cnf(matrix-6807, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16191, tc_HOL_Obool)), _u16192), _u16193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16190), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16191, _u16190), _u16193), _u16194)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16191, _u16190), _u16192), _u16194))) )).
% 13.06/13.33 cnf(matrix-6808, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16195, tc_fun(_u16196, tc_HOL_Obool)), _u16197), _u16198) = hAPP(c_Set_OCollect(_u16196), hAPP(hAPP(c_COMBB(tc_fun(_u16195, tc_HOL_Obool), tc_HOL_Obool, _u16196), c_HOL_OAll(_u16195)), hAPP(hAPP(c_COMBB(tc_fun(_u16195, tc_HOL_Obool), tc_fun(_u16195, tc_HOL_Obool), _u16196), hAPP(c_COMBS(_u16195, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16195), c_fimplies), hAPP(hAPP(c_COMBC(_u16195, tc_fun(_u16195, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16195)), _u16197)))), hAPP(hAPP(c_COMBC(_u16196, tc_fun(_u16195, tc_fun(_u16196, tc_HOL_Obool)), tc_fun(_u16195, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16196, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16195, tc_fun(_u16196, tc_HOL_Obool)), tc_fun(_u16195, tc_HOL_Obool)), _u16196), c_COMBB(tc_fun(_u16196, tc_HOL_Obool), tc_HOL_Obool, _u16195)), c_member(_u16196))), _u16198))))) )).
% 13.06/13.33 cnf(matrix-6809, plain, ( ( _u16204 != c_Orderings_Obot__class_Obot(tc_fun(_u16206, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16206, tc_fun(_u16208, tc_HOL_Obool)), _u16204), hAPP(hAPP(c_COMBB(tc_fun(_u16208, tc_HOL_Obool), tc_fun(_u16208, tc_HOL_Obool), _u16206), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16208, tc_HOL_Obool)), _u16210)), _u16212)) = c_Orderings_Otop__class_Otop(tc_fun(_u16208, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6810, plain, ( ( _u16205 = c_Orderings_Obot__class_Obot(tc_fun(_u16207, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16207, tc_fun(_u16209, tc_HOL_Obool)), _u16205), hAPP(hAPP(c_COMBB(tc_fun(_u16209, tc_HOL_Obool), tc_fun(_u16209, tc_HOL_Obool), _u16207), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16209, tc_HOL_Obool)), _u16211)), _u16213)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16209, tc_HOL_Obool)), _u16211), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16207, tc_fun(_u16209, tc_HOL_Obool)), _u16205), _u16213))) )).
% 13.06/13.33 cnf(matrix-6811, plain, ( ( _u16219 != c_Orderings_Obot__class_Obot(tc_fun(_u16221, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16221, tc_fun(_u16223, tc_HOL_Obool)), _u16219), hAPP(hAPP(c_COMBC(_u16221, tc_fun(_u16223, tc_HOL_Obool), tc_fun(_u16223, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16223, tc_HOL_Obool), tc_fun(tc_fun(_u16223, tc_HOL_Obool), tc_fun(_u16223, tc_HOL_Obool)), _u16221), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16223, tc_HOL_Obool))), _u16225)), _u16227)) = c_Orderings_Otop__class_Otop(tc_fun(_u16223, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6812, plain, ( ( _u16220 = c_Orderings_Obot__class_Obot(tc_fun(_u16222, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16222, tc_fun(_u16224, tc_HOL_Obool)), _u16220), hAPP(hAPP(c_COMBC(_u16222, tc_fun(_u16224, tc_HOL_Obool), tc_fun(_u16224, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16224, tc_HOL_Obool), tc_fun(tc_fun(_u16224, tc_HOL_Obool), tc_fun(_u16224, tc_HOL_Obool)), _u16222), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16224, tc_HOL_Obool))), _u16226)), _u16228)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16224, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16222, tc_fun(_u16224, tc_HOL_Obool)), _u16220), _u16226)), _u16228)) )).
% 13.06/13.33 cnf(matrix-6813, plain, ( ( _u16234 != c_Orderings_Obot__class_Obot(tc_fun(_u16236, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16238, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16236, tc_fun(_u16238, tc_HOL_Obool)), _u16234), _u16240)), _u16242) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16238, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u16238, tc_HOL_Obool))), _u16242)) )).
% 13.06/13.33 cnf(matrix-6814, plain, ( ( _u16235 = c_Orderings_Obot__class_Obot(tc_fun(_u16237, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16239, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16237, tc_fun(_u16239, tc_HOL_Obool)), _u16235), _u16241)), _u16243) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16237, tc_fun(_u16239, tc_HOL_Obool)), _u16235), hAPP(hAPP(c_COMBC(_u16237, tc_fun(_u16239, tc_HOL_Obool), tc_fun(_u16239, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16239, tc_HOL_Obool), tc_fun(tc_fun(_u16239, tc_HOL_Obool), tc_fun(_u16239, tc_HOL_Obool)), _u16237), c_Groups_Ominus__class_Ominus(tc_fun(_u16239, tc_HOL_Obool))), _u16241)), _u16243))) )).
% 13.06/13.33 cnf(matrix-6815, plain, ( ( _u16249 != c_Orderings_Obot__class_Obot(tc_fun(_u16251, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16251, tc_fun(_u16253, tc_HOL_Obool)), _u16249), hAPP(hAPP(c_COMBC(_u16251, tc_fun(_u16253, tc_HOL_Obool), tc_fun(_u16253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16253, tc_HOL_Obool), tc_fun(tc_fun(_u16253, tc_HOL_Obool), tc_fun(_u16253, tc_HOL_Obool)), _u16251), c_Groups_Ominus__class_Ominus(tc_fun(_u16253, tc_HOL_Obool))), _u16255)), _u16257)) = c_Orderings_Otop__class_Otop(tc_fun(_u16253, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6816, plain, ( ( _u16250 = c_Orderings_Obot__class_Obot(tc_fun(_u16252, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16252, tc_fun(_u16254, tc_HOL_Obool)), _u16250), hAPP(hAPP(c_COMBC(_u16252, tc_fun(_u16254, tc_HOL_Obool), tc_fun(_u16254, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16254, tc_HOL_Obool), tc_fun(tc_fun(_u16254, tc_HOL_Obool), tc_fun(_u16254, tc_HOL_Obool)), _u16252), c_Groups_Ominus__class_Ominus(tc_fun(_u16254, tc_HOL_Obool))), _u16256)), _u16258)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16254, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16252, tc_fun(_u16254, tc_HOL_Obool)), _u16250), _u16256)), _u16258)) )).
% 13.06/13.33 cnf(matrix-6817, plain, ( ( _u16264 != c_Orderings_Obot__class_Obot(tc_fun(_u16266, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16268, tc_HOL_Obool)), _u16270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16266, tc_fun(_u16268, tc_HOL_Obool)), _u16264), _u16272)) = _u16270) )).
% 13.06/13.33 cnf(matrix-6818, plain, ( ( _u16265 = c_Orderings_Obot__class_Obot(tc_fun(_u16267, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16269, tc_HOL_Obool)), _u16271), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16267, tc_fun(_u16269, tc_HOL_Obool)), _u16265), _u16273)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16267, tc_fun(_u16269, tc_HOL_Obool)), _u16265), hAPP(hAPP(c_COMBB(tc_fun(_u16269, tc_HOL_Obool), tc_fun(_u16269, tc_HOL_Obool), _u16267), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16269, tc_HOL_Obool)), _u16271)), _u16273))) )).
% 13.06/13.33 cnf(matrix-6819, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16274, _u16274)), hAPP(hAPP(c_Product__Type_OPair(_u16274, _u16274), _u16275), _u16276)), c_Transitive__Closure_Ortrancl(_u16274, _u16277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16274, _u16274)), hAPP(hAPP(c_Product__Type_OPair(_u16274, _u16274), _u16276), _u16275)), c_Transitive__Closure_Ortrancl(_u16274, hAPP(c_Relation_Oconverse(_u16274, _u16274), _u16277)))) )).
% 13.06/13.33 cnf(matrix-6820, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16278, _u16278)), hAPP(hAPP(c_Product__Type_OPair(_u16278, _u16278), _u16279), _u16280)), c_Transitive__Closure_Ortrancl(_u16278, hAPP(c_Relation_Oconverse(_u16278, _u16278), _u16281)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16278, _u16278)), hAPP(hAPP(c_Product__Type_OPair(_u16278, _u16278), _u16280), _u16279)), c_Transitive__Closure_Ortrancl(_u16278, _u16281))) )).
% 13.06/13.33 cnf(matrix-6821, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16282, _u16282)), hAPP(hAPP(c_Product__Type_OPair(_u16282, _u16282), _u16283), _u16284)), hAPP(c_Relation_Oconverse(_u16282, _u16282), c_Transitive__Closure_Otrancl(_u16282, _u16285)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16282, _u16282)), hAPP(hAPP(c_Product__Type_OPair(_u16282, _u16282), _u16283), _u16284)), c_Transitive__Closure_Otrancl(_u16282, hAPP(c_Relation_Oconverse(_u16282, _u16282), _u16285)))) )).
% 13.06/13.33 cnf(matrix-6822, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16286, _u16286)), hAPP(hAPP(c_Product__Type_OPair(_u16286, _u16286), _u16287), _u16288)), c_Transitive__Closure_Otrancl(_u16286, hAPP(c_Relation_Oconverse(_u16286, _u16286), _u16289)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16286, _u16286)), hAPP(hAPP(c_Product__Type_OPair(_u16286, _u16286), _u16287), _u16288)), hAPP(c_Relation_Oconverse(_u16286, _u16286), c_Transitive__Closure_Otrancl(_u16286, _u16289)))) )).
% 13.06/13.33 cnf(matrix-6823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16295, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16297, _u16295, _u16299), _u16301)), _u16303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16297, tc_HOL_Obool)), _u16301), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16297, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16295, _u16297, hAPP(c_Relation_Oconverse(_u16297, _u16295), _u16299)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16295, tc_HOL_Obool)), _u16303))))) )).
% 13.06/13.33 cnf(matrix-6824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16298, tc_HOL_Obool)), _u16302), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16298, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16296, _u16298, hAPP(c_Relation_Oconverse(_u16298, _u16296), _u16300)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u16296, tc_HOL_Obool)), _u16304))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16296, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16298, _u16296, _u16300), _u16302)), _u16304)) )).
% 13.06/13.33 cnf(matrix-6825, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16305) | ~hBOOL(hAPP(hAPP(c_member(_u16306), _u16307), _u16308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16306, _u16305), _u16308), _u16309)), hAPP(_u16309, _u16307))) )).
% 13.06/13.33 cnf(matrix-6826, plain, ( ~c_Relation_Orefl__on(_u16310, _u16311, _u16312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16310, _u16310), tc_HOL_Obool)), _u16312), hAPP(hAPP(c_Relation_Orel__comp(_u16310, _u16310, _u16310), hAPP(c_Relation_Oconverse(_u16310, _u16310), _u16312)), _u16312))) )).
% 13.06/13.33 cnf(matrix-6827, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16313, _u16313, _u16313), hAPP(c_Relation_Oconverse(_u16313, _u16313), _u16314)), _u16314) != _u16314) | ( hAPP(c_Relation_ODomain(_u16313, _u16313), _u16314) != _u16315) | c_Equiv__Relations_Oequiv(_u16313, _u16315, _u16314) )).
% 13.06/13.33 cnf(matrix-6828, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16316, _u16316)), _u16317)) | ~c_Wellfounded_Oacyclic(_u16316, _u16317) | c_Wellfounded_Owf(_u16316, hAPP(c_Relation_Oconverse(_u16316, _u16316), _u16317)) )).
% 13.06/13.33 cnf(matrix-6829, 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))) )).
% 13.06/13.33 cnf(matrix-6830, plain, ( ( _u16323 != c_Orderings_Obot__class_Obot(tc_fun(_u16325, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16325, tc_fun(_u16327, tc_HOL_Obool)), _u16323), hAPP(hAPP(c_COMBB(tc_fun(_u16327, tc_HOL_Obool), tc_fun(_u16327, tc_HOL_Obool), _u16325), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16327, tc_HOL_Obool)), _u16329)), _u16331)) = c_Orderings_Otop__class_Otop(tc_fun(_u16327, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6831, plain, ( ( _u16324 = c_Orderings_Obot__class_Obot(tc_fun(_u16326, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16326, tc_fun(_u16328, tc_HOL_Obool)), _u16324), hAPP(hAPP(c_COMBB(tc_fun(_u16328, tc_HOL_Obool), tc_fun(_u16328, tc_HOL_Obool), _u16326), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16328, tc_HOL_Obool)), _u16330)), _u16332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16328, tc_HOL_Obool)), _u16330), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16326, tc_fun(_u16328, tc_HOL_Obool)), _u16324), _u16332))) )).
% 13.06/13.33 cnf(matrix-6832, plain, ( ( hAPP(c_Relation_Oconverse(_u16333, _u16334), _u16335) = hAPP(c_Set_OCollect(tc_prod(_u16334, _u16333)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16334, _u16333, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16334, tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_fun(_u16333, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16333, tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_fun(_u16333, tc_HOL_Obool)), _u16334), c_COMBC(_u16333, tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16333, tc_prod(_u16333, _u16334)), tc_fun(_u16333, tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool)), _u16334), hAPP(c_COMBB(tc_prod(_u16333, _u16334), tc_fun(tc_fun(tc_prod(_u16333, _u16334), tc_HOL_Obool), tc_HOL_Obool), _u16333), c_member(tc_prod(_u16333, _u16334)))), hAPP(c_COMBC(_u16333, _u16334, tc_prod(_u16333, _u16334)), c_Product__Type_OPair(_u16333, _u16334))))), _u16335)))) )).
% 13.06/13.33 cnf(matrix-6833, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16337), _u16338)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16336), _u16339), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16337, _u16336), _u16338), _u16340)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16337, _u16336, hAPP(hAPP(c_COMBB(_u16336, tc_fun(_u16336, _u16336), _u16337), c_Lattices_Osemilattice__inf__class_Oinf(_u16336)), _u16340)), _u16339), _u16338)) )).
% 13.06/13.33 cnf(matrix-6834, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16342, _u16342)), hAPP(hAPP(c_Product__Type_OPair(_u16342, _u16342), hAPP(_u16343, hAPP(c_Nat_OSuc, skolem386(_u16346, _u16345, _u16344, _u16343, _u16342)))), hAPP(_u16343, skolem386(_u16346, _u16345, _u16344, _u16343, _u16342)))), c_Transitive__Closure_Ortrancl(_u16342, _u16344))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16342, _u16342)), hAPP(hAPP(c_Product__Type_OPair(_u16342, _u16342), hAPP(_u16343, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16345), _u16346))), hAPP(_u16343, _u16345))), c_Transitive__Closure_Ortrancl(_u16342, _u16344))) )).
% 13.06/13.33 cnf(matrix-6835, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16351, tc_fun(_u16351, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u16351, tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_fun(_u16351, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16351, tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_fun(_u16351, tc_HOL_Obool)), _u16351), c_COMBC(_u16351, tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16351, tc_prod(_u16351, _u16351)), tc_fun(_u16351, tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool)), _u16351), hAPP(c_COMBB(tc_prod(_u16351, _u16351), tc_fun(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool), tc_HOL_Obool), _u16351), c_member(tc_prod(_u16351, _u16351)))), c_Product__Type_OPair(_u16351, _u16351)))), _u16353)), c_fequal), _u16355), _u16357)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16351, _u16351)), hAPP(hAPP(c_Product__Type_OPair(_u16351, _u16351), _u16355), _u16357)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16351, _u16351), tc_HOL_Obool)), _u16353), c_Relation_OId(_u16351)))) )).
% 13.06/13.33 cnf(matrix-6836, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16352, _u16352)), hAPP(hAPP(c_Product__Type_OPair(_u16352, _u16352), _u16356), _u16358)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool)), _u16354), c_Relation_OId(_u16352)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16352, tc_fun(_u16352, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u16352, tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_fun(_u16352, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16352, tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_fun(_u16352, tc_HOL_Obool)), _u16352), c_COMBC(_u16352, tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16352, tc_prod(_u16352, _u16352)), tc_fun(_u16352, tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool)), _u16352), hAPP(c_COMBB(tc_prod(_u16352, _u16352), tc_fun(tc_fun(tc_prod(_u16352, _u16352), tc_HOL_Obool), tc_HOL_Obool), _u16352), c_member(tc_prod(_u16352, _u16352)))), c_Product__Type_OPair(_u16352, _u16352)))), _u16354)), c_fequal), _u16356), _u16358)) )).
% 13.06/13.33 cnf(matrix-6837, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16359, _u16359)), hAPP(hAPP(c_Product__Type_OPair(_u16359, _u16359), _u16360), _u16360)), c_Relation_OId(_u16359))) )).
% 13.06/13.33 cnf(matrix-6838, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16368, tc_fun(_u16370, tc_HOL_Obool)), _u16372), _u16374), _u16376)) | ~hBOOL(hAPP(hAPP(c_member(_u16368), _u16361), _u16372)) | hBOOL(hAPP(hAPP(_u16374, _u16361), _u16376)) )).
% 13.06/13.33 cnf(matrix-6839, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16369, tc_fun(_u16371, tc_HOL_Obool)), _u16373), _u16375), _u16377)) | hBOOL(hAPP(hAPP(c_member(_u16369), skolem387(_u16377, _u16375, _u16373, _u16371, _u16369)), _u16373)) )).
% 13.06/13.33 cnf(matrix-6840, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16369, tc_fun(_u16371, tc_HOL_Obool)), _u16373), _u16375), _u16377)) | ~hBOOL(hAPP(hAPP(_u16375, skolem387(_u16377, _u16375, _u16373, _u16371, _u16369)), _u16377)) )).
% 13.06/13.33 cnf(matrix-6841, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16387, tc_fun(_u16389, tc_fun(_u16391, tc_HOL_Obool))), _u16393), _u16395), _u16397), _u16399)) | ~hBOOL(hAPP(hAPP(c_member(_u16387), _u16378), _u16393)) | hBOOL(hAPP(hAPP(hAPP(_u16395, _u16378), _u16397), _u16399)) )).
% 13.06/13.33 cnf(matrix-6842, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16388, tc_fun(_u16390, tc_fun(_u16392, tc_HOL_Obool))), _u16394), _u16396), _u16398), _u16400)) | hBOOL(hAPP(hAPP(c_member(_u16388), skolem388(_u16400, _u16398, _u16396, _u16394, _u16392, _u16390, _u16388)), _u16394)) )).
% 13.06/13.33 cnf(matrix-6843, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16388, tc_fun(_u16390, tc_fun(_u16392, tc_HOL_Obool))), _u16394), _u16396), _u16398), _u16400)) | ~hBOOL(hAPP(hAPP(hAPP(_u16396, skolem388(_u16400, _u16398, _u16396, _u16394, _u16392, _u16390, _u16388)), _u16398), _u16400)) )).
% 13.06/13.33 cnf(matrix-6844, plain, ( ( hAPP(c_Relation_Oconverse(_u16401, _u16401), c_Relation_OId(_u16401)) = c_Relation_OId(_u16401)) )).
% 13.06/13.33 cnf(matrix-6845, plain, ( ( hAPP(c_Relation_OImage(_u16402, _u16402, c_Relation_OId(_u16402)), _u16403) = _u16403) )).
% 13.06/13.33 cnf(matrix-6846, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16404, _u16405, _u16405), _u16406), c_Relation_OId(_u16405)) = _u16406) )).
% 13.06/13.33 cnf(matrix-6847, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16407, _u16407, _u16408), c_Relation_OId(_u16407)), _u16409) = _u16409) )).
% 13.06/13.33 cnf(matrix-6848, plain, ( ( _u16415 = _u16417) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16413, _u16413)), hAPP(hAPP(c_Product__Type_OPair(_u16413, _u16413), _u16415), _u16417)), c_Relation_OId(_u16413))) )).
% 13.06/13.33 cnf(matrix-6849, plain, ( ( _u16416 != _u16418) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16414, _u16414)), hAPP(hAPP(c_Product__Type_OPair(_u16414, _u16414), _u16416), _u16418)), c_Relation_OId(_u16414))) )).
% 13.06/13.33 cnf(matrix-6850, plain, ( ( hAPP(c_Relation_ODomain(_u16419, _u16419), c_Relation_OId(_u16419)) = c_Orderings_Otop__class_Otop(tc_fun(_u16419, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6851, plain, ( ( c_Transitive__Closure_Ortrancl(_u16420, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16420, _u16420), tc_HOL_Obool))) = c_Relation_OId(_u16420)) )).
% 13.06/13.33 cnf(matrix-6852, plain, ( ( hAPP(c_Relation_ORange(_u16421, _u16421), c_Relation_OId(_u16421)) = c_Orderings_Otop__class_Otop(tc_fun(_u16421, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6853, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16422, _u16422), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u16422, _u16423)), c_Relation_OId(_u16422)) = c_Transitive__Closure_Ortrancl(_u16422, _u16423)) )).
% 13.06/13.33 cnf(matrix-6854, plain, ( ( c_Transitive__Closure_Ortrancl(_u16424, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16424, _u16424), tc_HOL_Obool)), _u16425), c_Relation_OId(_u16424))) = c_Transitive__Closure_Ortrancl(_u16424, _u16425)) )).
% 13.06/13.33 cnf(matrix-6855, plain, ( c_Relation_Orefl__on(_u16426, c_Orderings_Otop__class_Otop(tc_fun(_u16426, tc_HOL_Obool)), c_Relation_OId(_u16426)) )).
% 13.06/13.33 cnf(matrix-6856, plain, ( ( c_Transitive__Closure_Ortrancl(_u16427, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16427, _u16427), tc_HOL_Obool)), _u16428), c_Relation_OId(_u16427))) = c_Transitive__Closure_Ortrancl(_u16427, _u16428)) )).
% 13.06/13.33 cnf(matrix-6857, 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)))) )).
% 13.06/13.33 cnf(matrix-6858, plain, ( ( c_Transitive__Closure_Otrancl(_u16429, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16429, _u16429), tc_HOL_Obool)), _u16430), c_Relation_OId(_u16429))) = c_Transitive__Closure_Ortrancl(_u16429, _u16430)) )).
% 13.06/13.33 cnf(matrix-6859, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16431, _u16431), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u16431, _u16432)), c_Relation_OId(_u16431)) = c_Transitive__Closure_Ortrancl(_u16431, _u16432)) )).
% 13.06/13.33 cnf(matrix-6860, plain, ( ( c_Transitive__Closure_Ortrancl(_u16433, _u16434) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16433, _u16433), tc_HOL_Obool)), c_Relation_OId(_u16433)), hAPP(hAPP(c_Relation_Orel__comp(_u16433, _u16433, _u16433), c_Transitive__Closure_Ortrancl(_u16433, _u16434)), _u16434))) )).
% 13.06/13.33 cnf(matrix-6861, plain, ( c_Relation_Orefl__on(_u16435, c_Orderings_Otop__class_Otop(tc_fun(_u16435, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16435, _u16435), tc_HOL_Obool)), _u16436), c_Relation_OId(_u16435))) )).
% 13.06/13.33 cnf(matrix-6862, plain, ( ( c_Relation_OId(_u16437) = hAPP(c_Set_OCollect(tc_prod(_u16437, _u16437)), hAPP(hAPP(c_COMBB(tc_fun(_u16437, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u16437, _u16437)), c_HOL_OEx(_u16437)), hAPP(hAPP(c_COMBC(tc_prod(_u16437, _u16437), tc_fun(_u16437, tc_prod(_u16437, _u16437)), tc_fun(_u16437, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16437, _u16437), tc_HOL_Obool), tc_fun(tc_fun(_u16437, tc_prod(_u16437, _u16437)), tc_fun(_u16437, tc_HOL_Obool)), tc_prod(_u16437, _u16437)), c_COMBB(tc_prod(_u16437, _u16437), tc_HOL_Obool, _u16437)), c_fequal)), hAPP(hAPP(c_COMBS(_u16437, _u16437, tc_prod(_u16437, _u16437)), c_Product__Type_OPair(_u16437, _u16437)), c_COMBI(_u16437)))))) )).
% 13.06/13.33 cnf(matrix-6863, plain, ( c_Relation_Oirrefl(_u16438, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16438, _u16438), tc_HOL_Obool)), _u16439), c_Relation_OId(_u16438))) )).
% 13.06/13.33 cnf(matrix-6864, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), c_Relation_OId(_u16440)), _u16441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u16440, _u16440, _u16440), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u16440, _u16442)), _u16441)), _u16442)), _u16441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16440, _u16440), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u16440, _u16442)), _u16441)) )).
% 13.06/13.33 cnf(matrix-6865, plain, ( ~c_Relation_Osingle__valued(_u16443, _u16444, hAPP(c_Relation_Oconverse(_u16444, _u16443), _u16445)) | ( _u16446 = c_Orderings_Obot__class_Obot(tc_fun(_u16447, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u16444, _u16443, _u16445), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16447, tc_fun(_u16444, tc_HOL_Obool)), _u16446), _u16448)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16447, tc_fun(_u16443, tc_HOL_Obool)), _u16446), hAPP(hAPP(c_COMBB(tc_fun(_u16444, tc_HOL_Obool), tc_fun(_u16443, tc_HOL_Obool), _u16447), c_Relation_OImage(_u16444, _u16443, _u16445)), _u16448))) )).
% 13.06/13.33 cnf(matrix-6866, plain, ( ~c_Fun_Oinj__on(_u16450, _u16451, _u16452, _u16453) | ~hBOOL(hAPP(hAPP(c_member(_u16454), _u16457), _u16455)) | ( hAPP(c_Set_Oimage(_u16450, _u16451, _u16452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16450, tc_HOL_Obool)), _u16455), _u16456)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16451, tc_HOL_Obool)), _u16455), hAPP(hAPP(c_COMBB(tc_fun(_u16450, tc_HOL_Obool), tc_fun(_u16451, tc_HOL_Obool), _u16454), c_Set_Oimage(_u16450, _u16451, _u16452)), _u16456))) | hBOOL(hAPP(hAPP(c_member(_u16454), skolem389(_u16457, _u16456, _u16455, _u16454, _u16453, _u16452, _u16451, _u16450)), _u16455)) )).
% 13.06/13.33 cnf(matrix-6867, plain, ( ~c_Fun_Oinj__on(_u16450, _u16451, _u16452, _u16453) | ~hBOOL(hAPP(hAPP(c_member(_u16454), _u16457), _u16455)) | ( hAPP(c_Set_Oimage(_u16450, _u16451, _u16452), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16450, tc_HOL_Obool)), _u16455), _u16456)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16454, tc_fun(_u16451, tc_HOL_Obool)), _u16455), hAPP(hAPP(c_COMBB(tc_fun(_u16450, tc_HOL_Obool), tc_fun(_u16451, tc_HOL_Obool), _u16454), c_Set_Oimage(_u16450, _u16451, _u16452)), _u16456))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16450, tc_HOL_Obool)), hAPP(_u16456, skolem389(_u16457, _u16456, _u16455, _u16454, _u16453, _u16452, _u16451, _u16450))), _u16453)) )).
% 13.06/13.33 cnf(matrix-6868, plain, ( c_Relation_Osingle__valued(_u16458, _u16458, c_Relation_OId(_u16458)) )).
% 13.06/13.33 cnf(matrix-6869, plain, ( ~c_Relation_Osingle__valued(_u16459, _u16460, _u16461) | ~c_Relation_Osingle__valued(_u16460, _u16462, _u16463) | c_Relation_Osingle__valued(_u16459, _u16462, hAPP(hAPP(c_Relation_Orel__comp(_u16459, _u16460, _u16462), _u16461), _u16463)) )).
% 13.06/13.33 cnf(matrix-6870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16464, _u16465), tc_HOL_Obool)), _u16466), _u16467)) | ~c_Relation_Osingle__valued(_u16464, _u16465, _u16467) | c_Relation_Osingle__valued(_u16464, _u16465, _u16466) )).
% 13.06/13.33 cnf(matrix-6871, plain, ( c_Relation_Osingle__valued(_u16468, _u16468, c_Relation_OId__on(_u16468, _u16469)) )).
% 13.06/13.33 cnf(matrix-6872, plain, ( ~c_Relation_Osingle__valued(_u16479, _u16481, _u16483) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16479, _u16481)), hAPP(hAPP(c_Product__Type_OPair(_u16479, _u16481), _u16472), _u16471)), _u16483)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16479, _u16481)), hAPP(hAPP(c_Product__Type_OPair(_u16479, _u16481), _u16472), _u16470)), _u16483)) | ( _u16471 = _u16470) )).
% 13.06/13.33 cnf(matrix-6873, plain, ( c_Relation_Osingle__valued(_u16480, _u16482, _u16484) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16480, _u16482)), hAPP(hAPP(c_Product__Type_OPair(_u16480, _u16482), skolem390(_u16484, _u16482, _u16480)), skolem391(_u16484, _u16482, _u16480))), _u16484)) )).
% 13.06/13.33 cnf(matrix-6874, plain, ( c_Relation_Osingle__valued(_u16480, _u16482, _u16484) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16480, _u16482)), hAPP(hAPP(c_Product__Type_OPair(_u16480, _u16482), skolem390(_u16484, _u16482, _u16480)), skolem392(_u16484, _u16482, _u16480))), _u16484)) )).
% 13.06/13.33 cnf(matrix-6875, plain, ( c_Relation_Osingle__valued(_u16480, _u16482, _u16484) | ( skolem391(_u16484, _u16482, _u16480) != skolem392(_u16484, _u16482, _u16480)) )).
% 13.06/13.33 cnf(matrix-6876, plain, ( ~c_Relation_Osingle__valued(_u16485, _u16486, _u16487) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16485, _u16486)), hAPP(hAPP(c_Product__Type_OPair(_u16485, _u16486), _u16488), _u16489)), _u16487)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16485, _u16486)), hAPP(hAPP(c_Product__Type_OPair(_u16485, _u16486), _u16488), _u16490)), _u16487)) | ( _u16489 = _u16490) )).
% 13.06/13.33 cnf(matrix-6877, plain, ( ~c_Relation_Osingle__valued(_u16491, _u16491, _u16492) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16493), _u16494)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16493), _u16495)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16494), _u16495)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16491, _u16491)), hAPP(hAPP(c_Product__Type_OPair(_u16491, _u16491), _u16495), _u16494)), c_Transitive__Closure_Ortrancl(_u16491, _u16492))) )).
% 13.06/13.33 cnf(matrix-6878, plain, ( ~c_Relation_Osingle__valued(_u16496, _u16497, hAPP(c_Relation_Oconverse(_u16497, _u16496), _u16498)) | ( hAPP(c_Relation_OImage(_u16497, _u16496, _u16498), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16497, tc_HOL_Obool)), _u16499), _u16500)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16496, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u16497, _u16496, _u16498), _u16499)), hAPP(c_Relation_OImage(_u16497, _u16496, _u16498), _u16500))) )).
% 13.06/13.33 cnf(matrix-6879, plain, ( ~c_Relation_Ototal__on(_u16504, _u16506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16504, _u16504), tc_HOL_Obool)), _u16508), c_Relation_OId(_u16504))) | c_Relation_Ototal__on(_u16504, _u16506, _u16508) )).
% 13.06/13.33 cnf(matrix-6880, plain, ( ~c_Relation_Ototal__on(_u16505, _u16507, _u16509) | c_Relation_Ototal__on(_u16505, _u16507, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16505, _u16505), tc_HOL_Obool)), _u16509), c_Relation_OId(_u16505))) )).
% 13.06/13.33 cnf(matrix-6881, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16510, _u16510)), _u16511), c_Transitive__Closure_Ortrancl(_u16510, _u16512))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16510, _u16510)), _u16511), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16510, _u16510), 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(_u16510, _u16510), tc_HOL_Obool), tc_fun(tc_prod(_u16510, _u16510), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16510, _u16510), tc_HOL_Obool)), _u16512)))) )).
% 13.06/13.33 cnf(matrix-6882, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16513, _u16513), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16514) = c_Relation_OId(_u16513)) )).
% 13.06/13.33 cnf(matrix-6883, plain, ( ~c_Relation_Osingle__valued(_u16515, _u16515, _u16516) | c_Relation_Osingle__valued(_u16515, _u16515, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16515, _u16515), tc_HOL_Obool), _u16517), _u16516)) )).
% 13.06/13.33 cnf(matrix-6884, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16518, _u16518)), _u16519), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16518, _u16518), tc_HOL_Obool), _u16520), _u16521))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16518, _u16518)), _u16519), c_Transitive__Closure_Ortrancl(_u16518, _u16521))) )).
% 13.06/13.33 cnf(matrix-6885, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16527, _u16527)), _u16529), c_Transitive__Closure_Ortrancl(_u16527, _u16531))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16527, _u16527)), _u16529), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16527, _u16527), tc_HOL_Obool), skolem393(_u16531, _u16529, _u16527)), _u16531))) )).
% 13.06/13.33 cnf(matrix-6886, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16528, _u16528)), _u16530), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16528, _u16528), tc_HOL_Obool), _u16523), _u16532))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16528, _u16528)), _u16530), c_Transitive__Closure_Ortrancl(_u16528, _u16532))) )).
% 13.06/13.33 cnf(matrix-6887, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u16533, _u16534), tc_fun(_u16533, _u16534)), _u16535), c_Fun_Ocomp(_u16534, _u16534, _u16533, _u16536)) = c_Fun_Ocomp(_u16534, _u16534, _u16533, hAPP(hAPP(c_Nat_Ocompow(_u16534, _u16534), _u16535), _u16536))) )).
% 13.06/13.33 cnf(matrix-6888, plain, ( ~c_Wellfounded_Owf(_u16537, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16537, _u16537), tc_HOL_Obool), _u16538), _u16539)) | c_Wellfounded_Owf(_u16537, _u16539) )).
% 13.06/13.33 cnf(matrix-6889, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16540, _u16540), _u16541), hAPP(hAPP(c_Nat_Ocompow(_u16540, _u16540), _u16542), _u16543)) = hAPP(hAPP(c_Nat_Ocompow(_u16540, _u16540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16542), _u16541)), _u16543)) )).
% 13.06/13.33 cnf(matrix-6890, plain, ( ( hAPP(_u16544, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16545, _u16545), _u16546), _u16544), _u16547)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u16545, _u16545), _u16546), _u16544), hAPP(_u16544, _u16547))) )).
% 13.06/13.33 cnf(matrix-6891, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16548, _u16548), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16549)), _u16550) = hAPP(hAPP(c_Relation_Orel__comp(_u16548, _u16548, _u16548), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16548, _u16548), tc_HOL_Obool), _u16549), _u16550)), _u16550)) )).
% 13.06/13.33 cnf(matrix-6892, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u16551, _u16551, _u16551), _u16552), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16551, _u16551), tc_HOL_Obool), _u16553), _u16552)) = hAPP(hAPP(c_Relation_Orel__comp(_u16551, _u16551, _u16551), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16551, _u16551), tc_HOL_Obool), _u16553), _u16552)), _u16552)) )).
% 13.06/13.33 cnf(matrix-6893, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16554, _u16554), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16555), _u16556)), _u16557) = hAPP(hAPP(c_Relation_Orel__comp(_u16554, _u16554, _u16554), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16554, _u16554), tc_HOL_Obool), _u16555), _u16557)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16554, _u16554), tc_HOL_Obool), _u16556), _u16557))) )).
% 13.06/13.33 cnf(matrix-6894, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16558, _u16558), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16559) = _u16559) )).
% 13.06/13.33 cnf(matrix-6895, plain, ( c_Relation_Ototal__on(_u16560, c_Orderings_Obot__class_Obot(tc_fun(_u16560, tc_HOL_Obool)), _u16561) )).
% 13.06/13.33 cnf(matrix-6896, plain, ( ~c_Relation_Ototal__on(_u16565, _u16567, hAPP(c_Relation_Oconverse(_u16565, _u16565), _u16569)) | c_Relation_Ototal__on(_u16565, _u16567, _u16569) )).
% 13.06/13.33 cnf(matrix-6897, plain, ( ~c_Relation_Ototal__on(_u16566, _u16568, _u16570) | c_Relation_Ototal__on(_u16566, _u16568, hAPP(c_Relation_Oconverse(_u16566, _u16566), _u16570)) )).
% 13.06/13.33 cnf(matrix-6898, plain, ( ( _u16572 = _u16573) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16571, _u16571)), hAPP(hAPP(c_Product__Type_OPair(_u16571, _u16571), _u16572), _u16573)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16571, _u16571), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16574))) )).
% 13.06/13.33 cnf(matrix-6899, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16575, _u16575)), hAPP(hAPP(c_Product__Type_OPair(_u16575, _u16575), _u16576), _u16576)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16575, _u16575), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16577))) )).
% 13.06/13.33 cnf(matrix-6900, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16578, _u16578)), hAPP(hAPP(c_Product__Type_OPair(_u16578, _u16578), _u16579), _u16580)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16578, _u16578), tc_HOL_Obool), _u16581), _u16582))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16578, _u16578)), hAPP(hAPP(c_Product__Type_OPair(_u16578, _u16578), _u16580), _u16583)), _u16582)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16578, _u16578)), hAPP(hAPP(c_Product__Type_OPair(_u16578, _u16578), _u16579), _u16583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16578, _u16578), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16581)), _u16582))) )).
% 13.06/13.33 cnf(matrix-6901, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16584, _u16584)), hAPP(hAPP(c_Product__Type_OPair(_u16584, _u16584), _u16585), _u16586)), _u16587)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16584, _u16584)), hAPP(hAPP(c_Product__Type_OPair(_u16584, _u16584), _u16586), _u16588)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16584, _u16584), tc_HOL_Obool), _u16589), _u16587))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16584, _u16584)), hAPP(hAPP(c_Product__Type_OPair(_u16584, _u16584), _u16585), _u16588)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16584, _u16584), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16589)), _u16587))) )).
% 13.06/13.33 cnf(matrix-6902, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16590, _u16590), hAPP(c_Nat_OSuc, _u16591)), _u16592) = hAPP(c_Fun_Ocomp(_u16590, _u16590, _u16590, _u16592), hAPP(hAPP(c_Nat_Ocompow(_u16590, _u16590), _u16591), _u16592))) )).
% 13.06/13.33 cnf(matrix-6903, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16593, _u16593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16594), _u16595)), _u16596) = hAPP(c_Fun_Ocomp(_u16593, _u16593, _u16593, hAPP(hAPP(c_Nat_Ocompow(_u16593, _u16593), _u16594), _u16596)), hAPP(hAPP(c_Nat_Ocompow(_u16593, _u16593), _u16595), _u16596))) )).
% 13.06/13.33 cnf(matrix-6904, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u16597, _u16597), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16598) = c_Fun_Oid(_u16597)) )).
% 13.06/13.33 cnf(matrix-6905, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16604, _u16604)), _u16606), c_Transitive__Closure_Otrancl(_u16604, _u16608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem394(_u16608, _u16606, _u16604))) )).
% 13.06/13.33 cnf(matrix-6906, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16604, _u16604)), _u16606), c_Transitive__Closure_Otrancl(_u16604, _u16608))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16604, _u16604)), _u16606), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16604, _u16604), tc_HOL_Obool), skolem394(_u16608, _u16606, _u16604)), _u16608))) )).
% 13.06/13.33 cnf(matrix-6907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16600)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16605, _u16605)), _u16607), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16605, _u16605), tc_HOL_Obool), _u16600), _u16609))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16605, _u16605)), _u16607), c_Transitive__Closure_Otrancl(_u16605, _u16609))) )).
% 13.06/13.33 cnf(matrix-6908, plain, ( ~c_Relation_Ototal__on(_u16617, _u16619, _u16621) | ~hBOOL(hAPP(hAPP(c_member(_u16617), _u16611), _u16619)) | ~hBOOL(hAPP(hAPP(c_member(_u16617), _u16610), _u16619)) | ( _u16611 = _u16610) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16617, _u16617)), hAPP(hAPP(c_Product__Type_OPair(_u16617, _u16617), _u16611), _u16610)), _u16621)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16617, _u16617)), hAPP(hAPP(c_Product__Type_OPair(_u16617, _u16617), _u16610), _u16611)), _u16621)) )).
% 13.06/13.33 cnf(matrix-6909, plain, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | hBOOL(hAPP(hAPP(c_member(_u16618), skolem395(_u16622, _u16620, _u16618)), _u16620)) )).
% 13.06/13.33 cnf(matrix-6910, plain, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | hBOOL(hAPP(hAPP(c_member(_u16618), skolem396(_u16622, _u16620, _u16618)), _u16620)) )).
% 13.06/13.33 cnf(matrix-6911, plain, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | ( skolem395(_u16622, _u16620, _u16618) != skolem396(_u16622, _u16620, _u16618)) )).
% 13.06/13.33 cnf(matrix-6912, plain, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16618, _u16618)), hAPP(hAPP(c_Product__Type_OPair(_u16618, _u16618), skolem395(_u16622, _u16620, _u16618)), skolem396(_u16622, _u16620, _u16618))), _u16622)) )).
% 13.06/13.33 cnf(matrix-6913, plain, ( c_Relation_Ototal__on(_u16618, _u16620, _u16622) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16618, _u16618)), hAPP(hAPP(c_Product__Type_OPair(_u16618, _u16618), skolem396(_u16622, _u16620, _u16618)), skolem395(_u16622, _u16620, _u16618))), _u16622)) )).
% 13.06/13.33 cnf(matrix-6914, plain, ( ( c_Transitive__Closure_Ortrancl(_u16623, _u16624) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u16623, _u16623), 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(_u16623, _u16623), tc_HOL_Obool), tc_fun(tc_prod(_u16623, _u16623), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u16623, _u16623), tc_HOL_Obool)), _u16624))) )).
% 13.06/13.33 cnf(matrix-6915, plain, ( ( c_Nat_Ofunpow(_u16625) = c_Nat_Ocompow(_u16625, _u16625)) )).
% 13.06/13.33 cnf(matrix-6916, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16631 = hAPP(c_Nat_OSuc, skolem398(_u16632, _u16631, _u16630, _u16629, _u16628))) )).
% 13.06/13.33 cnf(matrix-6917, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628))), _u16632)) )).
% 13.06/13.33 cnf(matrix-6918, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16631 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), skolem398(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16632))) )).
% 13.06/13.33 cnf(matrix-6919, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16629 = _u16630) | ( _u16631 = hAPP(c_Nat_OSuc, skolem398(_u16632, _u16631, _u16630, _u16629, _u16628))) )).
% 13.06/13.33 cnf(matrix-6920, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16629 = _u16630) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628))), _u16632)) )).
% 13.06/13.33 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), _u16629), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), _u16631), _u16632))) | ( _u16629 = _u16630) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16628, _u16628)), hAPP(hAPP(c_Product__Type_OPair(_u16628, _u16628), skolem397(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16630)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16628, _u16628), tc_HOL_Obool), skolem398(_u16632, _u16631, _u16630, _u16629, _u16628)), _u16632))) )).
% 13.06/13.33 cnf(matrix-6922, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16638 = hAPP(c_Nat_OSuc, skolem400(_u16639, _u16638, _u16637, _u16636, _u16635))) )).
% 13.06/13.33 cnf(matrix-6923, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), skolem400(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16639))) )).
% 13.06/13.33 cnf(matrix-6924, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16637)), _u16639)) )).
% 13.06/13.33 cnf(matrix-6925, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16636 = _u16637) | ( _u16638 = hAPP(c_Nat_OSuc, skolem400(_u16639, _u16638, _u16637, _u16636, _u16635))) )).
% 13.06/13.33 cnf(matrix-6926, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16636 = _u16637) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), skolem400(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16639))) )).
% 13.06/13.33 cnf(matrix-6927, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), _u16636), _u16637)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16635, _u16635), tc_HOL_Obool), _u16638), _u16639))) | ( _u16636 = _u16637) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16635, _u16635)), hAPP(hAPP(c_Product__Type_OPair(_u16635, _u16635), skolem399(_u16639, _u16638, _u16637, _u16636, _u16635)), _u16637)), _u16639)) )).
% 13.06/13.33 cnf(matrix-6928, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16640) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16640), _u16641)) | ( c_Complete__Lattice_OInf__class_OInf(_u16640, _u16641) = hAPP(hAPP(c_Finite__Set_Ofold(_u16640, _u16640, c_Lattices_Osemilattice__inf__class_Oinf(_u16640)), c_Orderings_Otop__class_Otop(_u16640)), _u16641)) )).
% 13.06/13.33 cnf(matrix-6929, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16643, tc_HOL_Obool)), _u16642), _u16644)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16643), _u16642)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16643), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16643, tc_HOL_Obool), _u16644))) )).
% 13.06/13.33 cnf(matrix-6930, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16645), _u16646), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16645, tc_HOL_Obool), _u16647))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16645, tc_HOL_Obool)), _u16648), _u16647)) | hBOOL(hAPP(hAPP(c_member(_u16645), _u16646), _u16648)) )).
% 13.06/13.33 cnf(matrix-6931, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16649), _u16650), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16649, tc_HOL_Obool), _u16651))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16649, tc_HOL_Obool)), _u16652), _u16651)) | hBOOL(hAPP(hAPP(c_member(_u16649), _u16650), _u16652)) )).
% 13.06/13.33 cnf(matrix-6932, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16653, tc_HOL_Obool)), _u16654), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16653, tc_HOL_Obool), _u16655)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16653, tc_HOL_Obool), tc_fun(_u16653, tc_HOL_Obool)), _u16655), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16653, tc_HOL_Obool)), _u16654))) )).
% 13.06/13.33 cnf(matrix-6933, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16656, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16656, tc_HOL_Obool)), _u16657), _u16658)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16656, tc_HOL_Obool)), _u16657), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16656, tc_HOL_Obool), _u16658))) )).
% 13.06/13.33 cnf(matrix-6934, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16659, tc_HOL_Obool)), _u16660), _u16661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16659, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16659, tc_HOL_Obool), _u16661)), _u16660)) )).
% 13.06/13.33 cnf(matrix-6935, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ~class_Orderings_Olinorder(_u16664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), c_Complete__Lattice_OInf__class_OInf(_u16664, _u16665)), _u16666)) | hBOOL(hAPP(hAPP(c_member(_u16664), skolem401(_u16666, _u16665, _u16664)), _u16665)) )).
% 13.06/13.33 cnf(matrix-6936, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ~class_Orderings_Olinorder(_u16664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), c_Complete__Lattice_OInf__class_OInf(_u16664, _u16665)), _u16666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), skolem401(_u16666, _u16665, _u16664)), _u16666)) )).
% 13.06/13.33 cnf(matrix-6937, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ~class_Orderings_Olinorder(_u16664) | ~hBOOL(hAPP(hAPP(c_member(_u16664), _u16663), _u16665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), _u16663), _u16666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16664), c_Complete__Lattice_OInf__class_OInf(_u16664, _u16665)), _u16666)) )).
% 13.06/13.33 cnf(matrix-6938, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), c_Complete__Lattice_OInf__class_OInf(_u16669, _u16671))) | ~hBOOL(hAPP(hAPP(c_member(_u16669), _u16667), _u16671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), _u16667)) )).
% 13.06/13.33 cnf(matrix-6939, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), c_Complete__Lattice_OInf__class_OInf(_u16669, _u16671))) | hBOOL(hAPP(hAPP(c_member(_u16669), skolem402(_u16671, _u16670, _u16669)), _u16671)) )).
% 13.06/13.33 cnf(matrix-6940, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), c_Complete__Lattice_OInf__class_OInf(_u16669, _u16671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16669), _u16670), skolem402(_u16671, _u16670, _u16669))) )).
% 13.06/13.33 cnf(matrix-6941, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16672, tc_HOL_Obool), _u16673) = hAPP(c_Set_OCollect(_u16672), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u16672), c_HOL_OAll(tc_fun(_u16672, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), _u16672), hAPP(c_COMBS(tc_fun(_u16672, 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(_u16672, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u16672, tc_HOL_Obool), tc_fun(tc_fun(_u16672, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u16672, tc_HOL_Obool))), _u16673)))), c_member(_u16672))))) )).
% 13.06/13.33 cnf(matrix-6942, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16674, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16674, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16674, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16675, tc_HOL_Obool), tc_HOL_Obool)), _u16676), _u16677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16675, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16675, tc_HOL_Obool), _u16677)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16675, tc_HOL_Obool), _u16676))) )).
% 13.06/13.33 cnf(matrix-6944, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16678, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u16678, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16678, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6945, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16679) | ~hBOOL(hAPP(hAPP(c_member(_u16679), _u16680), _u16681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16679), c_Complete__Lattice_OInf__class_OInf(_u16679, _u16681)), _u16680)) )).
% 13.06/13.33 cnf(matrix-6946, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16682, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u16682, tc_HOL_Obool), tc_HOL_Obool)), _u16683), _u16684)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16682, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16682, tc_HOL_Obool), _u16683)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16682, tc_HOL_Obool), _u16684))) )).
% 13.06/13.33 cnf(matrix-6947, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16685) | ( c_Complete__Lattice_OInf__class_OInf(_u16685, hAPP(hAPP(c_Set_Oinsert(_u16685), _u16686), c_Orderings_Obot__class_Obot(tc_fun(_u16685, tc_HOL_Obool)))) = _u16686) )).
% 13.06/13.33 cnf(matrix-6948, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16687) | ( c_Complete__Lattice_OInf__class_OInf(_u16687, c_Orderings_Obot__class_Obot(tc_fun(_u16687, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u16687)) )).
% 13.06/13.33 cnf(matrix-6949, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16688) | ( c_Complete__Lattice_OInf__class_OInf(_u16688, c_Orderings_Otop__class_Otop(tc_fun(_u16688, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u16688)) )).
% 13.06/13.33 cnf(matrix-6950, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16689) | ( c_Complete__Lattice_OInf__class_OInf(_u16689, hAPP(hAPP(c_Set_Oinsert(_u16689), _u16690), _u16691)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16689), _u16690), c_Complete__Lattice_OInf__class_OInf(_u16689, _u16691))) )).
% 13.06/13.33 cnf(matrix-6951, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16692, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16693, tc_fun(_u16692, tc_HOL_Obool), _u16694), _u16695)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16693, tc_fun(_u16692, tc_HOL_Obool)), _u16695), _u16694)) )).
% 13.06/13.33 cnf(matrix-6952, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16696, tc_fun(_u16697, tc_HOL_Obool)), _u16698), _u16699) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16697, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16696, tc_fun(_u16697, tc_HOL_Obool), _u16699), _u16698))) )).
% 13.06/13.33 cnf(matrix-6953, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16700, tc_HOL_Obool)), _u16701), _u16702) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16700, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16700, tc_HOL_Obool)), _u16701), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16700, tc_HOL_Obool)), _u16702), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16700, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 13.06/13.33 cnf(matrix-6954, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16703, tc_fun(_u16704, tc_HOL_Obool)), _u16705), hAPP(hAPP(c_COMBS(_u16703, tc_fun(_u16704, tc_HOL_Obool), tc_fun(_u16704, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16704, tc_HOL_Obool), tc_fun(tc_fun(_u16704, tc_HOL_Obool), tc_fun(_u16704, tc_HOL_Obool)), _u16703), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16704, tc_HOL_Obool))), _u16706)), _u16707)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16704, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16704, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16703, tc_fun(_u16704, tc_HOL_Obool), _u16706), _u16705))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16704, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16703, tc_fun(_u16704, tc_HOL_Obool), _u16707), _u16705)))) )).
% 13.06/13.33 cnf(matrix-6955, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16708, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16708, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16708, tc_HOL_Obool), _u16709)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16708, tc_HOL_Obool), _u16710))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16708, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u16708, tc_HOL_Obool), tc_HOL_Obool)), _u16709), _u16710)))) )).
% 13.06/13.33 cnf(matrix-6956, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16711) | ( c_Complete__Lattice_OInf__class_OInf(_u16711, hAPP(hAPP(c_Set_Oinsert(_u16711), _u16712), hAPP(hAPP(c_Set_Oinsert(_u16711), _u16713), c_Orderings_Obot__class_Obot(tc_fun(_u16711, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16711), _u16712), _u16713)) )).
% 13.06/13.33 cnf(matrix-6957, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16714) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16714), _u16715)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16714), _u16716), c_Complete__Lattice_OInf__class_OInf(_u16714, _u16715)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16714, _u16714, c_Lattices_Osemilattice__inf__class_Oinf(_u16714)), _u16716), _u16715)) )).
% 13.06/13.33 cnf(matrix-6958, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16717) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16717), _u16718)) | ( _u16718 = c_Orderings_Obot__class_Obot(tc_fun(_u16717, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16717, _u16718) = c_Complete__Lattice_OInf__class_OInf(_u16717, _u16718)) )).
% 13.06/13.33 cnf(matrix-6959, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16719) | ( c_Complete__Lattice_OSup__class_OSup(_u16719, _u16720) = c_Complete__Lattice_OInf__class_OInf(_u16719, hAPP(c_Set_OCollect(_u16719), hAPP(hAPP(c_COMBB(tc_fun(_u16719, tc_HOL_Obool), tc_HOL_Obool, _u16719), c_HOL_OAll(_u16719)), hAPP(hAPP(c_COMBB(tc_fun(_u16719, tc_HOL_Obool), tc_fun(_u16719, tc_HOL_Obool), _u16719), hAPP(c_COMBS(_u16719, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16719), c_fimplies), hAPP(hAPP(c_COMBC(_u16719, tc_fun(_u16719, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16719)), _u16720)))), hAPP(c_COMBC(_u16719, _u16719, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u16719))))))) )).
% 13.06/13.33 cnf(matrix-6960, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16721) | ( c_Complete__Lattice_OInf__class_OInf(_u16721, _u16722) = c_Complete__Lattice_OSup__class_OSup(_u16721, hAPP(c_Set_OCollect(_u16721), hAPP(hAPP(c_COMBB(tc_fun(_u16721, tc_HOL_Obool), tc_HOL_Obool, _u16721), c_HOL_OAll(_u16721)), hAPP(hAPP(c_COMBB(tc_fun(_u16721, tc_HOL_Obool), tc_fun(_u16721, tc_HOL_Obool), _u16721), hAPP(c_COMBS(_u16721, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16721), c_fimplies), hAPP(hAPP(c_COMBC(_u16721, tc_fun(_u16721, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16721)), _u16722)))), c_Orderings_Oord__class_Oless__eq(_u16721)))))) )).
% 13.06/13.33 cnf(matrix-6961, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16723, tc_HOL_Obool)), _u16724), _u16725)) | ~hBOOL(hAPP(hAPP(c_member(_u16723), _u16726), _u16724)) | hBOOL(hAPP(hAPP(c_member(_u16723), _u16726), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16723, tc_HOL_Obool), _u16725))) )).
% 13.06/13.33 cnf(matrix-6962, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16727, tc_HOL_Obool), _u16728) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16727, tc_HOL_Obool), tc_fun(_u16727, tc_HOL_Obool)), _u16728), c_COMBI(tc_fun(_u16727, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-6963, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16729, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16729, tc_HOL_Obool), _u16730)), _u16731) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16729, tc_HOL_Obool), tc_fun(_u16729, tc_HOL_Obool)), _u16730), hAPP(hAPP(c_COMBC(tc_fun(_u16729, tc_HOL_Obool), tc_fun(_u16729, tc_HOL_Obool), tc_fun(_u16729, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16729, tc_HOL_Obool))), _u16731))) )).
% 13.06/13.33 cnf(matrix-6964, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16732, tc_HOL_Obool)), _u16733), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16732, tc_HOL_Obool), _u16734)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16732, tc_HOL_Obool), tc_fun(_u16732, tc_HOL_Obool)), _u16734), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16732, tc_HOL_Obool)), _u16733))) )).
% 13.06/13.33 cnf(matrix-6965, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16735, tc_fun(_u16736, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16735, tc_HOL_Obool), _u16737)), _u16738) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16735, tc_HOL_Obool), tc_fun(_u16736, tc_HOL_Obool)), _u16737), hAPP(hAPP(c_COMBC(tc_fun(_u16735, tc_HOL_Obool), tc_fun(_u16735, tc_fun(_u16736, tc_HOL_Obool)), tc_fun(_u16736, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16735, tc_fun(_u16736, tc_HOL_Obool))), _u16738))) )).
% 13.06/13.33 cnf(matrix-6966, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16739, tc_HOL_Obool), tc_fun(_u16740, tc_HOL_Obool)), _u16741), hAPP(hAPP(c_COMBC(tc_fun(_u16739, tc_HOL_Obool), tc_fun(_u16739, tc_fun(_u16740, tc_HOL_Obool)), tc_fun(_u16740, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16739, tc_fun(_u16740, tc_HOL_Obool))), _u16742)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16739, tc_fun(_u16740, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16739, tc_HOL_Obool), _u16741)), _u16742)) )).
% 13.06/13.33 cnf(matrix-6967, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u16743, _u16744), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16743, tc_HOL_Obool), _u16745)), _u16746) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16743, tc_HOL_Obool), tc_fun(tc_prod(_u16743, _u16744), tc_HOL_Obool)), _u16745), hAPP(hAPP(c_COMBC(tc_fun(_u16743, tc_HOL_Obool), tc_fun(_u16743, tc_fun(_u16744, tc_HOL_Obool)), tc_fun(tc_prod(_u16743, _u16744), tc_HOL_Obool)), c_Product__Type_OSigma(_u16743, _u16744)), _u16746))) )).
% 13.06/13.33 cnf(matrix-6968, plain, ( ( hAPP(c_Set_Oimage(_u16747, _u16748, _u16749), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16747, tc_HOL_Obool), _u16750)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16747, tc_HOL_Obool), tc_fun(_u16748, tc_HOL_Obool)), _u16750), c_Set_Oimage(_u16747, _u16748, _u16749))) )).
% 13.06/13.33 cnf(matrix-6969, plain, ( ( hAPP(c_Relation_ORange(_u16751, _u16752), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16751, _u16752), tc_HOL_Obool), _u16753)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16751, _u16752), tc_HOL_Obool), tc_fun(_u16752, tc_HOL_Obool)), _u16753), c_Relation_ORange(_u16751, _u16752))) )).
% 13.06/13.33 cnf(matrix-6970, plain, ( ( hAPP(c_Relation_ODomain(_u16754, _u16755), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16754, _u16755), tc_HOL_Obool), _u16756)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16754, _u16755), tc_HOL_Obool), tc_fun(_u16754, tc_HOL_Obool)), _u16756), c_Relation_ODomain(_u16754, _u16755))) )).
% 13.06/13.33 cnf(matrix-6971, plain, ( ( hAPP(c_Set_Ovimage(_u16757, _u16758, _u16759), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16758, tc_HOL_Obool), _u16760)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16758, tc_HOL_Obool), tc_fun(_u16757, tc_HOL_Obool)), _u16760), c_Set_Ovimage(_u16757, _u16758, _u16759))) )).
% 13.06/13.33 cnf(matrix-6972, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16761, tc_HOL_Obool), tc_fun(_u16762, tc_HOL_Obool)), _u16763), hAPP(hAPP(c_COMBC(tc_fun(_u16761, tc_HOL_Obool), tc_fun(_u16761, tc_fun(_u16762, tc_HOL_Obool)), tc_fun(_u16762, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16761, tc_fun(_u16762, tc_HOL_Obool))), _u16764)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16761, tc_fun(_u16762, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16761, tc_HOL_Obool), _u16763)), _u16764)) )).
% 13.06/13.33 cnf(matrix-6973, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16765, tc_fun(_u16766, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16765, tc_HOL_Obool), _u16767)), _u16768) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16765, tc_HOL_Obool), tc_fun(_u16766, tc_HOL_Obool)), _u16767), hAPP(hAPP(c_COMBC(tc_fun(_u16765, tc_HOL_Obool), tc_fun(_u16765, tc_fun(_u16766, tc_HOL_Obool)), tc_fun(_u16766, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16765, tc_fun(_u16766, tc_HOL_Obool))), _u16768))) )).
% 13.06/13.33 cnf(matrix-6974, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16769, tc_HOL_Obool), tc_HOL_Obool)), _u16770), hAPP(c_Set_OPow(_u16769), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16769, tc_HOL_Obool), _u16770)))) )).
% 13.06/13.33 cnf(matrix-6975, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16771), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16771, tc_HOL_Obool), _u16772))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16771, tc_HOL_Obool)), _u16772)) )).
% 13.06/13.33 cnf(matrix-6976, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16773, tc_HOL_Obool), tc_HOL_Obool)), _u16774), _u16775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16773, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16773, tc_HOL_Obool), _u16774)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16773, tc_HOL_Obool), _u16775))) )).
% 13.06/13.33 cnf(matrix-6977, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16781, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16781, tc_HOL_Obool), _u16783)), _u16785) != c_Orderings_Obot__class_Obot(tc_fun(_u16781, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16781, tc_HOL_Obool)), _u16776), _u16783)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16781, tc_HOL_Obool)), _u16776), _u16785) = c_Orderings_Obot__class_Obot(tc_fun(_u16781, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6978, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16782, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16782, tc_HOL_Obool), _u16784)), _u16786) = c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16782, tc_HOL_Obool)), skolem403(_u16786, _u16784, _u16782)), _u16784)) )).
% 13.06/13.33 cnf(matrix-6979, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16782, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16782, tc_HOL_Obool), _u16784)), _u16786) = c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16782, tc_HOL_Obool)), skolem403(_u16786, _u16784, _u16782)), _u16786) != c_Orderings_Obot__class_Obot(tc_fun(_u16782, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6980, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), c_Complete__Lattice_OSup__class_OSup(_u16789, _u16790)), _u16791)) | ~hBOOL(hAPP(hAPP(c_member(_u16789), _u16787), _u16790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), _u16787), _u16791)) )).
% 13.06/13.33 cnf(matrix-6981, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16789) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), c_Complete__Lattice_OSup__class_OSup(_u16789, _u16790)), _u16791)) | hBOOL(hAPP(hAPP(c_member(_u16789), skolem404(_u16791, _u16790, _u16789)), _u16790)) )).
% 13.06/13.33 cnf(matrix-6982, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16789) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), c_Complete__Lattice_OSup__class_OSup(_u16789, _u16790)), _u16791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16789), skolem404(_u16791, _u16790, _u16789)), _u16791)) )).
% 13.06/13.33 cnf(matrix-6983, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16792, tc_HOL_Obool)), _u16793), _u16794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16792, tc_HOL_Obool)), _u16793), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16792, tc_HOL_Obool), _u16794))) )).
% 13.06/13.33 cnf(matrix-6984, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16795, tc_HOL_Obool), hAPP(c_Set_OPow(_u16795), _u16796)) = _u16796) )).
% 13.06/13.33 cnf(matrix-6985, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16799) | ~class_Orderings_Olinorder(_u16799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), c_Complete__Lattice_OSup__class_OSup(_u16799, _u16801))) | hBOOL(hAPP(hAPP(c_member(_u16799), skolem405(_u16801, _u16800, _u16799)), _u16801)) )).
% 13.06/13.33 cnf(matrix-6986, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16799) | ~class_Orderings_Olinorder(_u16799) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), c_Complete__Lattice_OSup__class_OSup(_u16799, _u16801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), skolem405(_u16801, _u16800, _u16799))) )).
% 13.06/13.33 cnf(matrix-6987, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16799) | ~class_Orderings_Olinorder(_u16799) | ~hBOOL(hAPP(hAPP(c_member(_u16799), _u16798), _u16801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), _u16798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16799), _u16800), c_Complete__Lattice_OSup__class_OSup(_u16799, _u16801))) )).
% 13.06/13.33 cnf(matrix-6988, plain, ( ( hAPP(c_Relation_OField(_u16802), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16802, _u16802), tc_HOL_Obool), _u16803)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16802, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u16802, _u16802), tc_HOL_Obool), tc_fun(_u16802, tc_HOL_Obool), c_Relation_OField(_u16802)), _u16803))) )).
% 13.06/13.33 cnf(matrix-6989, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16804, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16804, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16804, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6990, plain, ( ~c_Equiv__Relations_Oequiv(_u16805, _u16806, _u16807) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16805, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u16805), _u16806), _u16807)) = _u16806) )).
% 13.06/13.33 cnf(matrix-6991, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16808, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u16808, tc_HOL_Obool), tc_HOL_Obool)), _u16809), _u16810)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16808, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16808, tc_HOL_Obool), _u16809)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16808, tc_HOL_Obool), _u16810))) )).
% 13.06/13.33 cnf(matrix-6992, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16811, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u16811, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16811, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-6993, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16812, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16812, tc_HOL_Obool)), _u16813), _u16814)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16812, tc_HOL_Obool)), _u16813), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16812, tc_HOL_Obool), _u16814))) )).
% 13.06/13.33 cnf(matrix-6994, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16815, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16816, tc_fun(_u16815, tc_HOL_Obool), _u16817), _u16818)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16816, tc_fun(_u16815, tc_HOL_Obool)), _u16818), _u16817)) )).
% 13.06/13.33 cnf(matrix-6995, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16819, tc_fun(_u16820, tc_HOL_Obool)), _u16821), _u16822) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16820, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16819, tc_fun(_u16820, tc_HOL_Obool), _u16822), _u16821))) )).
% 13.06/13.33 cnf(matrix-6996, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16823) | ~hBOOL(hAPP(hAPP(c_member(_u16823), _u16824), _u16825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16823), _u16824), c_Complete__Lattice_OSup__class_OSup(_u16823, _u16825))) )).
% 13.06/13.33 cnf(matrix-6997, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16826) | ( c_Complete__Lattice_OSup__class_OSup(_u16826, c_Orderings_Obot__class_Obot(tc_fun(_u16826, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u16826)) )).
% 13.06/13.33 cnf(matrix-6998, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16827) | ( c_Complete__Lattice_OSup__class_OSup(_u16827, hAPP(hAPP(c_Set_Oinsert(_u16827), _u16828), c_Orderings_Obot__class_Obot(tc_fun(_u16827, tc_HOL_Obool)))) = _u16828) )).
% 13.06/13.33 cnf(matrix-6999, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16829) | ( c_Complete__Lattice_OSup__class_OSup(_u16829, hAPP(hAPP(c_Set_Oinsert(_u16829), _u16830), _u16831)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16829), _u16830), c_Complete__Lattice_OSup__class_OSup(_u16829, _u16831))) )).
% 13.06/13.33 cnf(matrix-7000, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16832) | ( c_Complete__Lattice_OSup__class_OSup(_u16832, c_Orderings_Otop__class_Otop(tc_fun(_u16832, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u16832)) )).
% 13.06/13.33 cnf(matrix-7001, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16833, tc_HOL_Obool)), _u16834), _u16835) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16833, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16833, tc_HOL_Obool)), _u16834), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16833, tc_HOL_Obool)), _u16835), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16833, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 13.06/13.33 cnf(matrix-7002, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16836, tc_fun(_u16837, tc_HOL_Obool)), _u16838), hAPP(hAPP(c_COMBS(_u16836, tc_fun(_u16837, tc_HOL_Obool), tc_fun(_u16837, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16837, tc_HOL_Obool), tc_fun(tc_fun(_u16837, tc_HOL_Obool), tc_fun(_u16837, tc_HOL_Obool)), _u16836), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16837, tc_HOL_Obool))), _u16839)), _u16840)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16837, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16837, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16836, tc_fun(_u16837, tc_HOL_Obool), _u16839), _u16838))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16837, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16836, tc_fun(_u16837, tc_HOL_Obool), _u16840), _u16838)))) )).
% 13.06/13.33 cnf(matrix-7003, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16841, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16841, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u16841, tc_HOL_Obool), tc_HOL_Obool)), _u16842), _u16843))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16841, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16841, tc_HOL_Obool), _u16842)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16841, tc_HOL_Obool), _u16843)))) )).
% 13.06/13.33 cnf(matrix-7004, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16844) | ( c_Complete__Lattice_OSup__class_OSup(_u16844, hAPP(hAPP(c_Set_Oinsert(_u16844), _u16845), hAPP(hAPP(c_Set_Oinsert(_u16844), _u16846), c_Orderings_Obot__class_Obot(tc_fun(_u16844, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16844), _u16845), _u16846)) )).
% 13.06/13.33 cnf(matrix-7005, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16847), _u16848)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16847), _u16849), c_Complete__Lattice_OSup__class_OSup(_u16847, _u16848)) = hAPP(hAPP(c_Finite__Set_Ofold(_u16847, _u16847, c_Lattices_Osemilattice__sup__class_Osup(_u16847)), _u16849), _u16848)) )).
% 13.06/13.33 cnf(matrix-7006, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16850), _u16851)) | ( _u16851 = c_Orderings_Obot__class_Obot(tc_fun(_u16850, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16850, _u16851) = c_Complete__Lattice_OSup__class_OSup(_u16850, _u16851)) )).
% 13.06/13.33 cnf(matrix-7007, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16852), _u16853)) | ( c_Complete__Lattice_OSup__class_OSup(_u16852, _u16853) = hAPP(hAPP(c_Finite__Set_Ofold(_u16852, _u16852, c_Lattices_Osemilattice__sup__class_Osup(_u16852)), c_Orderings_Obot__class_Obot(_u16852)), _u16853)) )).
% 13.06/13.33 cnf(matrix-7008, plain, ( ( _u16855 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16856, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16856, _u16857, _u16858, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16856, tc_HOL_Obool), _u16855)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16856, tc_HOL_Obool)), skolem406(_u16858, _u16857, _u16856, _u16855)), _u16855)) )).
% 13.06/13.33 cnf(matrix-7009, plain, ( ( _u16855 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16856, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16856, _u16857, _u16858, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16856, tc_HOL_Obool), _u16855)) | ~c_Fun_Oinj__on(_u16856, _u16857, _u16858, skolem406(_u16858, _u16857, _u16856, _u16855)) )).
% 13.06/13.33 cnf(matrix-7010, plain, ( ( _u16861 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16860, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16860, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16860, tc_HOL_Obool), _u16861)), _u16862)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16860, tc_HOL_Obool)), skolem407(_u16862, _u16861, _u16860)), _u16861)) )).
% 13.06/13.33 cnf(matrix-7011, plain, ( ( _u16861 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16860, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16860, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16860, tc_HOL_Obool), _u16861)), _u16862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16860, tc_HOL_Obool)), skolem407(_u16862, _u16861, _u16860)), _u16862)) )).
% 13.06/13.33 cnf(matrix-7012, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16863, tc_HOL_Obool), _u16864) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16863, tc_HOL_Obool), tc_fun(_u16863, tc_HOL_Obool)), _u16864), c_COMBI(tc_fun(_u16863, tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-7013, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16866, tc_HOL_Obool)), _u16867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16866), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16866, tc_HOL_Obool), _u16867))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16866, tc_HOL_Obool)), skolem408(_u16867, _u16866)), _u16867)) )).
% 13.06/13.33 cnf(matrix-7014, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16866, tc_HOL_Obool)), _u16867)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16866), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16866, tc_HOL_Obool), _u16867))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16866), skolem408(_u16867, _u16866))) )).
% 13.06/13.33 cnf(matrix-7015, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), skolem409(_u16872, _u16871, _u16870)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872))) )).
% 13.06/13.33 cnf(matrix-7016, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), skolem410(_u16872, _u16871, _u16870)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872))) )).
% 13.06/13.33 cnf(matrix-7017, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | ( skolem409(_u16872, _u16871, _u16870) != skolem410(_u16872, _u16871, _u16870)) )).
% 13.06/13.33 cnf(matrix-7018, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u16870, tc_HOL_Obool)), _u16871), _u16872)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), _u16871), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), _u16872)) = c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16870, tc_HOL_Obool)), skolem409(_u16872, _u16871, _u16870)), skolem410(_u16872, _u16871, _u16870)) != c_Orderings_Obot__class_Obot(tc_fun(_u16870, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7019, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.06/13.33 cnf(matrix-7020, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem413(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.06/13.33 cnf(matrix-7021, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( skolem412(_u16878, _u16877, _u16876) != skolem413(_u16878, _u16877, _u16876)) )).
% 13.06/13.33 cnf(matrix-7022, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem411(_u16878, _u16877, _u16876)), _u16877)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), skolem413(_u16878, _u16877, _u16876)) != c_Orderings_Obot__class_Obot(tc_fun(_u16876, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7023, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.06/13.33 cnf(matrix-7024, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16876, tc_HOL_Obool)), skolem413(_u16878, _u16877, _u16876)), _u16877)) )).
% 13.06/13.33 cnf(matrix-7025, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( skolem412(_u16878, _u16877, _u16876) != skolem413(_u16878, _u16877, _u16876)) )).
% 13.06/13.33 cnf(matrix-7026, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(c_Finite__Set_Ocard(_u16876), skolem411(_u16878, _u16877, _u16876)) != _u16878) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16878), hAPP(c_Finite__Set_Ocard(tc_fun(_u16876, tc_HOL_Obool)), _u16877)) = hAPP(c_Finite__Set_Ocard(_u16876), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16876, tc_HOL_Obool), _u16877))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16876, tc_HOL_Obool)), skolem412(_u16878, _u16877, _u16876)), skolem413(_u16878, _u16877, _u16876)) != c_Orderings_Obot__class_Obot(tc_fun(_u16876, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7027, plain, ( ( _u16880 = c_Orderings_Obot__class_Obot(tc_fun(_u16881, tc_HOL_Obool))) | c_Fun_Oinj__on(_u16882, _u16883, _u16884, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16881, tc_fun(_u16882, tc_HOL_Obool)), _u16880), _u16885)) | hBOOL(hAPP(hAPP(c_member(_u16881), skolem414(_u16885, _u16884, _u16883, _u16882, _u16881, _u16880)), _u16880)) )).
% 13.06/13.33 cnf(matrix-7028, plain, ( ( _u16880 = c_Orderings_Obot__class_Obot(tc_fun(_u16881, tc_HOL_Obool))) | c_Fun_Oinj__on(_u16882, _u16883, _u16884, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16881, tc_fun(_u16882, tc_HOL_Obool)), _u16880), _u16885)) | ~c_Fun_Oinj__on(_u16882, _u16883, _u16884, hAPP(_u16885, skolem414(_u16885, _u16884, _u16883, _u16882, _u16881, _u16880))) )).
% 13.06/13.33 cnf(matrix-7029, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16887, _u16888, _u16889) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16887, _u16888, _u16889, _u16890, hAPP(hAPP(c_Set_Oinsert(_u16887), _u16891), _u16892)), _u16893)) | hBOOL(hAPP(hAPP(c_member(_u16887), _u16891), _u16892)) | ( _u16893 = hAPP(hAPP(_u16889, _u16891), skolem415(_u16893, _u16892, _u16891, _u16890, _u16889, _u16888, _u16887))) )).
% 13.06/13.33 cnf(matrix-7030, plain, ( ~c_Finite__Set_Ofun__left__comm(_u16887, _u16888, _u16889) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16887, _u16888, _u16889, _u16890, hAPP(hAPP(c_Set_Oinsert(_u16887), _u16891), _u16892)), _u16893)) | hBOOL(hAPP(hAPP(c_member(_u16887), _u16891), _u16892)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u16887, _u16888, _u16889, _u16890, _u16892), skolem415(_u16893, _u16892, _u16891, _u16890, _u16889, _u16888, _u16887))) )).
% 13.06/13.33 cnf(matrix-7031, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u16895, _u16895)), hAPP(hAPP(c_Product__Type_OPair(_u16895, _u16895), skolem416(_u16896, _u16895)), skolem416(_u16896, _u16895))), c_Transitive__Closure_Otrancl(_u16895, _u16896))) | c_Wellfounded_Oacyclic(_u16895, _u16896) )).
% 13.06/13.33 cnf(matrix-7032, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16899, _u16899), tc_HOL_Obool)), _u16902), _u16903)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), skolem417(_u16903, _u16902, _u16901, _u16900, _u16899))), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) )).
% 13.06/13.33 cnf(matrix-7033, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16899, _u16899), tc_HOL_Obool)), _u16902), _u16903)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), skolem417(_u16903, _u16902, _u16901, _u16900, _u16899)), skolem418(_u16903, _u16902, _u16901, _u16900, _u16899))), _u16903)) )).
% 13.06/13.33 cnf(matrix-7034, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16899, _u16899), tc_HOL_Obool)), _u16902), _u16903)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16899, _u16899)), hAPP(hAPP(c_Product__Type_OPair(_u16899, _u16899), _u16900), _u16901)), c_Transitive__Closure_Ortrancl(_u16899, _u16902))) | ( skolem417(_u16903, _u16902, _u16901, _u16900, _u16899) != skolem418(_u16903, _u16902, _u16901, _u16900, _u16899)) )).
% 13.06/13.33 cnf(matrix-7035, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16906, _u16906), tc_HOL_Obool)), _u16909), _u16910)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), skolem419(_u16910, _u16909, _u16908, _u16907, _u16906)), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) )).
% 13.06/13.33 cnf(matrix-7036, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16906, _u16906), tc_HOL_Obool)), _u16909), _u16910)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), skolem420(_u16910, _u16909, _u16908, _u16907, _u16906)), skolem419(_u16910, _u16909, _u16908, _u16907, _u16906))), _u16910)) )).
% 13.06/13.33 cnf(matrix-7037, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16906, _u16906), tc_HOL_Obool)), _u16909), _u16910)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16906, _u16906)), hAPP(hAPP(c_Product__Type_OPair(_u16906, _u16906), _u16907), _u16908)), c_Transitive__Closure_Ortrancl(_u16906, _u16909))) | ( skolem420(_u16910, _u16909, _u16908, _u16907, _u16906) != skolem419(_u16910, _u16909, _u16908, _u16907, _u16906)) )).
% 13.06/13.33 cnf(matrix-7038, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), _u16913), _u16914)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16912, _u16912), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16915)), _u16916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), _u16913), skolem421(_u16916, _u16915, _u16914, _u16913, _u16912))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16912, _u16912), tc_HOL_Obool), _u16915), _u16916))) )).
% 13.06/13.33 cnf(matrix-7039, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), _u16913), _u16914)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16912, _u16912), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16915)), _u16916))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16912, _u16912)), hAPP(hAPP(c_Product__Type_OPair(_u16912, _u16912), skolem421(_u16916, _u16915, _u16914, _u16913, _u16912)), _u16914)), _u16916)) )).
% 13.06/13.33 cnf(matrix-7040, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), _u16919), _u16920)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16918, _u16918), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16921)), _u16922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), _u16919), skolem422(_u16922, _u16921, _u16920, _u16919, _u16918))), _u16922)) )).
% 13.06/13.33 cnf(matrix-7041, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), _u16919), _u16920)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16918, _u16918), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16921)), _u16922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16918, _u16918)), hAPP(hAPP(c_Product__Type_OPair(_u16918, _u16918), skolem422(_u16922, _u16921, _u16920, _u16919, _u16918)), _u16920)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16918, _u16918), tc_HOL_Obool), _u16921), _u16922))) )).
% 13.06/13.33 cnf(matrix-7042, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), _u16925), _u16926)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16924, _u16924), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16927)), _u16928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), _u16925), skolem423(_u16928, _u16927, _u16926, _u16925, _u16924))), _u16928)) )).
% 13.06/13.33 cnf(matrix-7043, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), _u16925), _u16926)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16924, _u16924), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u16927)), _u16928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16924, _u16924)), hAPP(hAPP(c_Product__Type_OPair(_u16924, _u16924), skolem423(_u16928, _u16927, _u16926, _u16925, _u16924)), _u16926)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u16924, _u16924), tc_HOL_Obool), _u16927), _u16928))) )).
% 13.06/13.33 cnf(matrix-7044, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), _u16931), _u16932)), c_Transitive__Closure_Otrancl(_u16930, _u16933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), _u16931), skolem424(_u16933, _u16932, _u16931, _u16930))), c_Transitive__Closure_Ortrancl(_u16930, _u16933))) )).
% 13.06/13.33 cnf(matrix-7045, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), _u16931), _u16932)), c_Transitive__Closure_Otrancl(_u16930, _u16933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16930, _u16930)), hAPP(hAPP(c_Product__Type_OPair(_u16930, _u16930), skolem424(_u16933, _u16932, _u16931, _u16930)), _u16932)), _u16933)) )).
% 13.06/13.33 cnf(matrix-7046, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), _u16936), _u16937)), c_Transitive__Closure_Otrancl(_u16935, _u16938))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), _u16936), skolem425(_u16938, _u16937, _u16936, _u16935))), _u16938)) )).
% 13.06/13.33 cnf(matrix-7047, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), _u16936), _u16937)), c_Transitive__Closure_Otrancl(_u16935, _u16938))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16935, _u16935)), hAPP(hAPP(c_Product__Type_OPair(_u16935, _u16935), skolem425(_u16938, _u16937, _u16936, _u16935)), _u16937)), c_Transitive__Closure_Ortrancl(_u16935, _u16938))) )).
% 13.06/13.33 cnf(matrix-7048, plain, ( ~class_Orderings_Olinorder(_u16940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), hAPP(hAPP(c_Finite__Set_Ofold(_u16940, _u16940, c_Orderings_Oord__class_Omax(_u16940)), _u16943), _u16941)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16940), _u16942), _u16943))) | hBOOL(hAPP(hAPP(c_member(_u16940), skolem426(_u16943, _u16942, _u16941, _u16940)), _u16941)) )).
% 13.06/13.33 cnf(matrix-7049, plain, ( ~class_Orderings_Olinorder(_u16940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), hAPP(hAPP(c_Finite__Set_Ofold(_u16940, _u16940, c_Orderings_Oord__class_Omax(_u16940)), _u16943), _u16941)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u16940), _u16942), _u16943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), skolem426(_u16943, _u16942, _u16941, _u16940)), _u16942)) )).
% 13.06/13.33 cnf(matrix-7050, plain, ( ~class_Orderings_Olinorder(_u16945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16945), _u16946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16945), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16945), _u16947), _u16948)), hAPP(hAPP(c_Finite__Set_Ofold(_u16945, _u16945, c_Orderings_Oord__class_Omin(_u16945)), _u16948), _u16946))) | hBOOL(hAPP(hAPP(c_member(_u16945), skolem427(_u16948, _u16947, _u16946, _u16945)), _u16946)) )).
% 13.06/13.33 cnf(matrix-7051, plain, ( ~class_Orderings_Olinorder(_u16945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16945), _u16946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16945), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u16945), _u16947), _u16948)), hAPP(hAPP(c_Finite__Set_Ofold(_u16945, _u16945, c_Orderings_Oord__class_Omin(_u16945)), _u16948), _u16946))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16945), _u16947), skolem427(_u16948, _u16947, _u16946, _u16945))) )).
% 13.06/13.33 cnf(matrix-7052, plain, ( hBOOL(hAPP(hAPP(c_member(_u16950), _u16952), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16951))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16950, tc_HOL_Obool)), skolem428(_u16952, _u16951, _u16950)), _u16951)) )).
% 13.06/13.33 cnf(matrix-7053, plain, ( hBOOL(hAPP(hAPP(c_member(_u16950), _u16952), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u16950, tc_HOL_Obool), _u16951))) | ~hBOOL(hAPP(hAPP(c_member(_u16950), _u16952), skolem428(_u16952, _u16951, _u16950))) )).
% 13.06/13.33 cnf(matrix-7054, plain, ( ~class_Lattices_Osemilattice__inf(_u16954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16954), _u16955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16954), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16954), _u16956), _u16957)), hAPP(hAPP(c_Finite__Set_Ofold(_u16954, _u16954, c_Lattices_Osemilattice__inf__class_Oinf(_u16954)), _u16957), _u16955))) | hBOOL(hAPP(hAPP(c_member(_u16954), skolem429(_u16957, _u16956, _u16955, _u16954)), _u16955)) )).
% 13.06/13.33 cnf(matrix-7055, plain, ( ~class_Lattices_Osemilattice__inf(_u16954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16954), _u16955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16954), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u16954), _u16956), _u16957)), hAPP(hAPP(c_Finite__Set_Ofold(_u16954, _u16954, c_Lattices_Osemilattice__inf__class_Oinf(_u16954)), _u16957), _u16955))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16954), _u16956), skolem429(_u16957, _u16956, _u16955, _u16954))) )).
% 13.06/13.33 cnf(matrix-7056, plain, ( ~class_Lattices_Osemilattice__sup(_u16959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16959), _u16960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16959), hAPP(hAPP(c_Finite__Set_Ofold(_u16959, _u16959, c_Lattices_Osemilattice__sup__class_Osup(_u16959)), _u16962), _u16960)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16959), _u16961), _u16962))) | hBOOL(hAPP(hAPP(c_member(_u16959), skolem430(_u16962, _u16961, _u16960, _u16959)), _u16960)) )).
% 13.06/13.33 cnf(matrix-7057, plain, ( ~class_Lattices_Osemilattice__sup(_u16959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16959), _u16960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16959), hAPP(hAPP(c_Finite__Set_Ofold(_u16959, _u16959, c_Lattices_Osemilattice__sup__class_Osup(_u16959)), _u16962), _u16960)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16959), _u16961), _u16962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16959), skolem430(_u16962, _u16961, _u16960, _u16959)), _u16961)) )).
% 13.06/13.33 cnf(matrix-7058, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16964, _u16964)), _u16965), c_Relation_OId(_u16964))) | ( _u16965 = hAPP(hAPP(c_Product__Type_OPair(_u16964, _u16964), skolem431(_u16965, _u16964)), skolem431(_u16965, _u16964))) )).
% 13.06/13.33 cnf(matrix-7059, plain, ( ~c_Wellfounded_Owf(_u16976, _u16978) | ~hBOOL(hAPP(hAPP(c_member(_u16976), _u16966), _u16969)) | hBOOL(hAPP(hAPP(c_member(_u16976), skolem432(_u16978, _u16976, _u16969)), _u16969)) )).
% 13.06/13.33 cnf(matrix-7060, plain, ( ~c_Wellfounded_Owf(_u16976, _u16978) | ~hBOOL(hAPP(hAPP(c_member(_u16976), _u16966), _u16969)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16976, _u16976)), hAPP(hAPP(c_Product__Type_OPair(_u16976, _u16976), _u16967), skolem432(_u16978, _u16976, _u16969))), _u16978)) | ~hBOOL(hAPP(hAPP(c_member(_u16976), _u16967), _u16969)) )).
% 13.06/13.33 cnf(matrix-7061, plain, ( c_Wellfounded_Owf(_u16977, _u16979) | hBOOL(hAPP(hAPP(c_member(_u16977), skolem434(_u16979, _u16977)), skolem433(_u16979, _u16977))) )).
% 13.06/13.33 cnf(matrix-7062, plain, ( c_Wellfounded_Owf(_u16977, _u16979) | ~hBOOL(hAPP(hAPP(c_member(_u16977), _u16972), skolem433(_u16979, _u16977))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16977, _u16977)), hAPP(hAPP(c_Product__Type_OPair(_u16977, _u16977), skolem435(_u16979, _u16977, _u16972)), _u16972)), _u16979)) )).
% 13.06/13.33 cnf(matrix-7063, plain, ( c_Wellfounded_Owf(_u16977, _u16979) | ~hBOOL(hAPP(hAPP(c_member(_u16977), _u16972), skolem433(_u16979, _u16977))) | hBOOL(hAPP(hAPP(c_member(_u16977), skolem435(_u16979, _u16977, _u16972)), skolem433(_u16979, _u16977))) )).
% 13.06/13.33 cnf(matrix-7064, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16981), _u16986)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16981), _u16987)) | ( hAPP(_u16985, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16981, tc_HOL_Obool)), _u16986), _u16987)) = hAPP(hAPP(_u16982, hAPP(_u16985, _u16986)), hAPP(_u16985, _u16987))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u16980, _u16981, _u16982, _u16983, _u16984, _u16985) )).
% 13.06/13.33 cnf(matrix-7065, 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)))), _u16989)) = 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)))), _u16990))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem436(_u16990, _u16989))) )).
% 13.06/13.33 cnf(matrix-7066, 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)))), _u16989)) = 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)))), _u16990))) | hBOOL(hAPP(_u16989, skolem436(_u16990, _u16989))) | hBOOL(hAPP(_u16990, skolem436(_u16990, _u16989))) )).
% 13.06/13.33 cnf(matrix-7067, 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)))), _u16989)) = 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)))), _u16990))) | ~hBOOL(hAPP(_u16990, skolem436(_u16990, _u16989))) | ~hBOOL(hAPP(_u16989, skolem436(_u16990, _u16989))) )).
% 13.06/13.33 cnf(matrix-7068, plain, ( ( hAPP(hAPP(_u16993, _u16997), _u16997) = _u16997) | ~c_Finite__Set_Ofolding__image__simple__idem(_u16991, _u16992, _u16993, _u16994, _u16995, _u16996) )).
% 13.06/13.33 cnf(matrix-7069, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16999), _u17004)) | ~hBOOL(hAPP(hAPP(c_member(_u16999), _u17005), _u17004)) | ( hAPP(hAPP(_u17000, hAPP(_u17002, _u17005)), hAPP(_u17003, _u17004)) = hAPP(_u17003, _u17004)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u16998, _u16999, _u17000, _u17001, _u17002, _u17003) )).
% 13.06/13.33 cnf(matrix-7070, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17007), _u17012)) | ( hAPP(_u17011, hAPP(hAPP(c_Set_Oinsert(_u17007), _u17013), _u17012)) = hAPP(hAPP(_u17008, hAPP(_u17010, _u17013)), hAPP(_u17011, _u17012))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17006, _u17007, _u17008, _u17009, _u17010, _u17011) )).
% 13.06/13.33 cnf(matrix-7071, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17015), _u17020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17015, tc_HOL_Obool)), _u17021), _u17020)) | ( hAPP(hAPP(_u17016, hAPP(_u17019, _u17021)), hAPP(_u17019, _u17020)) = hAPP(_u17019, _u17020)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u17014, _u17015, _u17016, _u17017, _u17018, _u17019) )).
% 13.06/13.33 cnf(matrix-7072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), _u17024), _u17025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17024), hAPP(c_Set_OCollect(_u17023), _u17026))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17025), hAPP(c_Set_OCollect(_u17023), _u17027)))) | hBOOL(hAPP(hAPP(c_member(_u17023), skolem437(_u17027, _u17026, _u17025, _u17024, _u17023)), _u17024)) )).
% 13.06/13.33 cnf(matrix-7073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), _u17024), _u17025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17024), hAPP(c_Set_OCollect(_u17023), _u17026))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17025), hAPP(c_Set_OCollect(_u17023), _u17027)))) | hBOOL(hAPP(_u17026, skolem437(_u17027, _u17026, _u17025, _u17024, _u17023))) )).
% 13.06/13.33 cnf(matrix-7074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), _u17024), _u17025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17023, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17024), hAPP(c_Set_OCollect(_u17023), _u17026))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17023, tc_HOL_Obool)), _u17025), hAPP(c_Set_OCollect(_u17023), _u17027)))) | ~hBOOL(hAPP(_u17027, skolem437(_u17027, _u17026, _u17025, _u17024, _u17023))) )).
% 13.06/13.33 cnf(matrix-7075, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17029), _u17030), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17029, tc_HOL_Obool), _u17031))) | hBOOL(hAPP(hAPP(c_member(_u17029), _u17030), skolem438(_u17031, _u17030, _u17029))) )).
% 13.06/13.33 cnf(matrix-7076, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17029), _u17030), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17029, tc_HOL_Obool), _u17031))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17029, tc_HOL_Obool)), skolem438(_u17031, _u17030, _u17029)), _u17031)) )).
% 13.06/13.33 cnf(matrix-7077, plain, ( hBOOL(hAPP(hAPP(c_member(_u17032), _u17033), c_Map_Odom(_u17032, _u17034, _u17035))) | ( c_Map_Omap__add(_u17032, _u17034, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17032, tc_Option_Ooption(_u17034)), _u17036), _u17033), hAPP(c_Option_Ooption_OSome(_u17034), _u17037)), _u17035) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17032, tc_Option_Ooption(_u17034)), c_Map_Omap__add(_u17032, _u17034, _u17036, _u17035)), _u17033), hAPP(c_Option_Ooption_OSome(_u17034), _u17037))) )).
% 13.06/13.33 cnf(matrix-7078, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17042)), _u17043), hAPP(hAPP(c_Relation_Orel__comp(_u17041, _u17044, _u17042), _u17045), _u17046))) | ( _u17043 = hAPP(hAPP(c_Product__Type_OPair(_u17041, _u17042), skolem439(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041)), skolem441(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041))) )).
% 13.06/13.33 cnf(matrix-7079, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17042)), _u17043), hAPP(hAPP(c_Relation_Orel__comp(_u17041, _u17044, _u17042), _u17045), _u17046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17044)), hAPP(hAPP(c_Product__Type_OPair(_u17041, _u17044), skolem439(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041)), skolem440(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041))), _u17045)) )).
% 13.06/13.33 cnf(matrix-7080, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17041, _u17042)), _u17043), hAPP(hAPP(c_Relation_Orel__comp(_u17041, _u17044, _u17042), _u17045), _u17046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17044, _u17042)), hAPP(hAPP(c_Product__Type_OPair(_u17044, _u17042), skolem440(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041)), skolem441(_u17046, _u17045, _u17044, _u17043, _u17042, _u17041))), _u17046)) )).
% 13.06/13.33 cnf(matrix-7081, plain, ( ( hAPP(c_Map_Omap__add(_u17047, _u17048, _u17049, _u17050), _u17051) != hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17050, _u17051) = hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17050, _u17051) = c_Option_Ooption_ONone(_u17048)) )).
% 13.06/13.33 cnf(matrix-7082, plain, ( ( hAPP(c_Map_Omap__add(_u17047, _u17048, _u17049, _u17050), _u17051) != hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17050, _u17051) = hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) | ( hAPP(_u17049, _u17051) = hAPP(c_Option_Ooption_OSome(_u17048), _u17052)) )).
% 13.06/13.33 cnf(matrix-7083, plain, ( ( hAPP(c_Map_Omap__add(_u17059, _u17061, _u17063, _u17065), _u17067) != hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17065, _u17067) = hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17065, _u17067) = c_Option_Ooption_ONone(_u17061)) )).
% 13.06/13.33 cnf(matrix-7084, plain, ( ( hAPP(c_Map_Omap__add(_u17059, _u17061, _u17063, _u17065), _u17067) != hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17065, _u17067) = hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) | ( hAPP(_u17063, _u17067) = hAPP(c_Option_Ooption_OSome(_u17061), _u17069)) )).
% 13.06/13.33 cnf(matrix-7085, plain, ( ( hAPP(c_Map_Omap__add(_u17060, _u17062, _u17064, _u17066), _u17068) = hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) | ( hAPP(_u17066, _u17068) != hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) )).
% 13.06/13.33 cnf(matrix-7086, plain, ( ( hAPP(c_Map_Omap__add(_u17060, _u17062, _u17064, _u17066), _u17068) = hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) | ( hAPP(_u17066, _u17068) != c_Option_Ooption_ONone(_u17062)) | ( hAPP(_u17064, _u17068) != hAPP(c_Option_Ooption_OSome(_u17062), _u17070)) )).
% 13.06/13.33 cnf(matrix-7087, plain, ( ( hAPP(c_Map_Omap__add(_u17071, _u17072, _u17073, _u17074), _u17075) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17072), _u17072, hAPP(_u17073, _u17075), c_Option_Ooption_OSome(_u17072)), hAPP(_u17074, _u17075))) )).
% 13.06/13.33 cnf(matrix-7088, plain, ( ( c_Map_Omap__add(_u17076, _u17077, _u17078, hAPP(c_COMBK(tc_Option_Ooption(_u17077), _u17076), c_Option_Ooption_ONone(_u17077))) = _u17078) )).
% 13.06/13.33 cnf(matrix-7089, plain, ( ( c_Map_Omap__add(_u17079, _u17080, hAPP(c_COMBK(tc_Option_Ooption(_u17080), _u17079), c_Option_Ooption_ONone(_u17080)), _u17081) = _u17081) )).
% 13.06/13.33 cnf(matrix-7090, plain, ( ( hAPP(c_Map_Omap__add(_u17087, _u17089, _u17091, _u17093), _u17095) != c_Option_Ooption_ONone(_u17089)) | ( hAPP(_u17093, _u17095) = c_Option_Ooption_ONone(_u17089)) )).
% 13.06/13.33 cnf(matrix-7091, plain, ( ( hAPP(c_Map_Omap__add(_u17087, _u17089, _u17091, _u17093), _u17095) != c_Option_Ooption_ONone(_u17089)) | ( hAPP(_u17091, _u17095) = c_Option_Ooption_ONone(_u17089)) )).
% 13.06/13.33 cnf(matrix-7092, plain, ( ( hAPP(_u17094, _u17096) != c_Option_Ooption_ONone(_u17090)) | ( hAPP(_u17092, _u17096) != c_Option_Ooption_ONone(_u17090)) | ( hAPP(c_Map_Omap__add(_u17088, _u17090, _u17092, _u17094), _u17096) = c_Option_Ooption_ONone(_u17090)) )).
% 13.06/13.33 cnf(matrix-7093, plain, ( ( c_Map_Omap__add(_u17097, _u17098, _u17099, c_Map_Omap__add(_u17097, _u17098, _u17100, _u17101)) = c_Map_Omap__add(_u17097, _u17098, c_Map_Omap__add(_u17097, _u17098, _u17099, _u17100), _u17101)) )).
% 13.06/13.33 cnf(matrix-7094, plain, ( ( hAPP(_u17102, _u17103) != hAPP(c_Option_Ooption_OSome(_u17104), _u17105)) | ( hAPP(c_Map_Omap__add(_u17106, _u17104, _u17107, _u17102), _u17103) = hAPP(c_Option_Ooption_OSome(_u17104), _u17105)) )).
% 13.06/13.33 cnf(matrix-7095, plain, ( hBOOL(hAPP(hAPP(c_member(_u17108), _u17109), c_Map_Odom(_u17108, _u17110, _u17111))) | ( hAPP(c_Map_Omap__add(_u17108, _u17110, _u17111, _u17112), _u17109) = hAPP(_u17112, _u17109)) )).
% 13.06/13.33 cnf(matrix-7096, plain, ( hBOOL(hAPP(hAPP(c_member(_u17113), _u17114), c_Map_Odom(_u17113, _u17115, _u17116))) | ( hAPP(c_Map_Omap__add(_u17113, _u17115, _u17117, _u17116), _u17114) = hAPP(_u17117, _u17114)) )).
% 13.06/13.33 cnf(matrix-7097, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17118), _u17119), c_Map_Odom(_u17118, _u17120, _u17121))) | ( hAPP(c_Map_Omap__add(_u17118, _u17120, _u17122, _u17121), _u17119) = hAPP(_u17121, _u17119)) )).
% 13.06/13.33 cnf(matrix-7098, plain, ( ( c_Map_Omap__add(_u17123, _u17124, _u17125, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17123, tc_Option_Ooption(_u17124)), _u17126), _u17127), hAPP(c_Option_Ooption_OSome(_u17124), _u17128))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17123, tc_Option_Ooption(_u17124)), c_Map_Omap__add(_u17123, _u17124, _u17125, _u17126)), _u17127), hAPP(c_Option_Ooption_OSome(_u17124), _u17128))) )).
% 13.06/13.33 cnf(matrix-7099, plain, ( ( c_Map_Odom(_u17129, _u17130, c_Map_Omap__add(_u17129, _u17130, _u17131, _u17132)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17129, tc_HOL_Obool)), c_Map_Odom(_u17129, _u17130, _u17132)), c_Map_Odom(_u17129, _u17130, _u17131))) )).
% 13.06/13.33 cnf(matrix-7100, plain, ( ~c_Fun_Oinj__on(_u17137, tc_Option_Ooption(_u17139), c_Map_Omap__add(_u17137, _u17139, _u17141, _u17143), c_Map_Odom(_u17137, _u17139, _u17143)) | c_Fun_Oinj__on(_u17137, tc_Option_Ooption(_u17139), _u17143, c_Map_Odom(_u17137, _u17139, _u17143)) )).
% 13.06/13.33 cnf(matrix-7101, plain, ( ~c_Fun_Oinj__on(_u17138, tc_Option_Ooption(_u17140), _u17144, c_Map_Odom(_u17138, _u17140, _u17144)) | c_Fun_Oinj__on(_u17138, tc_Option_Ooption(_u17140), c_Map_Omap__add(_u17138, _u17140, _u17142, _u17144), c_Map_Odom(_u17138, _u17140, _u17144)) )).
% 13.06/13.33 cnf(matrix-7102, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17145, tc_HOL_Obool)), c_Map_Odom(_u17145, _u17146, _u17147)), c_Map_Odom(_u17145, _u17146, _u17148)) != c_Orderings_Obot__class_Obot(tc_fun(_u17145, tc_HOL_Obool))) | ( c_Map_Omap__add(_u17145, _u17146, _u17147, _u17148) = c_Map_Omap__add(_u17145, _u17146, _u17148, _u17147)) )).
% 13.06/13.33 cnf(matrix-7103, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17149)), hAPP(c_Set_Oimage(_u17150, tc_Option_Ooption(_u17149), _u17151), c_Orderings_Otop__class_Otop(tc_fun(_u17150, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17149)), hAPP(c_Set_Oimage(_u17150, tc_Option_Ooption(_u17149), c_Map_Omap__add(_u17150, _u17149, _u17151, c_Map_Omap__of(_u17150, _u17149, _u17152))), c_Orderings_Otop__class_Otop(tc_fun(_u17150, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-7104, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17155, _u17156)), _u17157), hAPP(c_Relation_Oconverse(_u17156, _u17155), _u17158))) | ( _u17157 = hAPP(hAPP(c_Product__Type_OPair(_u17155, _u17156), skolem443(_u17158, _u17157, _u17156, _u17155)), skolem442(_u17158, _u17157, _u17156, _u17155))) )).
% 13.06/13.33 cnf(matrix-7105, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17155, _u17156)), _u17157), hAPP(c_Relation_Oconverse(_u17156, _u17155), _u17158))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17156, _u17155)), hAPP(hAPP(c_Product__Type_OPair(_u17156, _u17155), skolem442(_u17158, _u17157, _u17156, _u17155)), skolem443(_u17158, _u17157, _u17156, _u17155))), _u17158)) )).
% 13.06/13.33 cnf(matrix-7106, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17159), c_Map_Odom(_u17159, _u17160, c_Map_Omap__of(_u17159, _u17160, _u17161)))) )).
% 13.06/13.33 cnf(matrix-7107, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u17162)), hAPP(c_Set_Oimage(_u17163, tc_Option_Ooption(_u17162), c_Map_Omap__of(_u17163, _u17162, _u17164)), c_Orderings_Otop__class_Otop(tc_fun(_u17163, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-7108, plain, ( ( c_Map_Omap__add(_u17165, _u17166, _u17167, c_Map_Omap__of(_u17165, _u17166, _u17168)) = c_List_Ofoldr(tc_prod(_u17165, _u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17165, _u17166, tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), hAPP(hAPP(c_COMBC(_u17165, tc_fun(_u17166, tc_Option_Ooption(_u17166)), tc_fun(_u17166, tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17166), tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), tc_fun(tc_fun(_u17166, tc_Option_Ooption(_u17166)), tc_fun(_u17166, tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166))))), _u17165), c_COMBB(tc_Option_Ooption(_u17166), tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166))), _u17166)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(tc_Option_Ooption(_u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), tc_fun(tc_Option_Ooption(_u17166), tc_fun(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), _u17165), c_COMBC(tc_fun(_u17165, tc_Option_Ooption(_u17166)), tc_Option_Ooption(_u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), hAPP(c_COMBC(tc_fun(_u17165, tc_Option_Ooption(_u17166)), _u17165, tc_fun(tc_Option_Ooption(_u17166), tc_fun(_u17165, tc_Option_Ooption(_u17166)))), c_Fun_Ofun__upd(_u17165, tc_Option_Ooption(_u17166)))))), c_Option_Ooption_OSome(_u17166))), _u17168, _u17167)) )).
% 13.06/13.33 cnf(matrix-7109, plain, ( ( c_Smallcheck_Oorelse(_u17169, _u17170, _u17171) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17169), _u17169, _u17171, c_Option_Ooption_OSome(_u17169)), _u17170)) )).
% 13.06/13.33 cnf(matrix-7110, plain, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u17172, _u17173) = c_Smallcheck_Ofull__small_H(_u17172, hAPP(c_Code__Numeral_Oint__of, _u17173), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17173)))) )).
% 13.06/13.33 cnf(matrix-7111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17177), _u17179)) | ( c_Smallcheck_Osmall_H(_u17181, _u17177, _u17179) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 13.06/13.33 cnf(matrix-7112, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17178), _u17180)) | ( c_Smallcheck_Osmall_H(_u17182, _u17178, _u17180) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u17182, _u17178, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17180), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17182, _u17180))) )).
% 13.06/13.33 cnf(matrix-7113, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17183), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17184), _u17185)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17184), _u17185)) | ( c_Smallcheck_Osmall_H(_u17183, _u17184, _u17185) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 13.06/13.33 cnf(matrix-7114, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17183), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17184), _u17185)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u17184), _u17185)) | ( c_Smallcheck_Osmall_H(_u17183, _u17184, _u17185) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u17183, _u17184, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17185), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u17183, _u17185))) )).
% 13.06/13.33 cnf(matrix-7115, plain, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u17186), _u17187) = c_Smallcheck_Osmall_H(_u17186, hAPP(c_Code__Numeral_Oint__of, _u17187), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u17187)))) )).
% 13.06/13.33 cnf(matrix-7116, plain, ( ~class_Smallcheck_Osmall(_u17188) | ~class_Smallcheck_Osmall(_u17189) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u17189, _u17188)), _u17190), _u17191) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u17189), hAPP(hAPP(c_COMBC(_u17189, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u17188, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17189), c_Smallcheck_Osmall__class_Osmall(_u17188)), hAPP(hAPP(c_COMBB(tc_fun(_u17188, tc_prod(_u17189, _u17188)), tc_fun(_u17188, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u17189), hAPP(c_COMBB(tc_prod(_u17189, _u17188), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u17188), _u17190)), c_Product__Type_OPair(_u17189, _u17188)))), _u17191)), _u17191)) )).
% 13.06/13.33 cnf(matrix-7117, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17195), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17196), _u17197)))) | hBOOL(hAPP(hAPP(hAPP(_u17198, _u17195), _u17196), _u17197)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), skolem444(_u17198, _u17197, _u17196, _u17195)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem445(_u17198, _u17197, _u17196, _u17195)), skolem446(_u17198, _u17197, _u17196, _u17195))))) )).
% 13.06/13.33 cnf(matrix-7118, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17195), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17196), _u17197)))) | hBOOL(hAPP(hAPP(hAPP(_u17198, _u17195), _u17196), _u17197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem445(_u17198, _u17197, _u17196, _u17195)), skolem446(_u17198, _u17197, _u17196, _u17195))) | ( hAPP(skolem444(_u17198, _u17197, _u17196, _u17195), skolem446(_u17198, _u17197, _u17196, _u17195)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u17198, skolem444(_u17198, _u17197, _u17196, _u17195)), skolem445(_u17198, _u17197, _u17196, _u17195)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem446(_u17198, _u17197, _u17196, _u17195)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 13.06/13.33 cnf(matrix-7119, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u17195), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u17196), _u17197)))) | hBOOL(hAPP(hAPP(hAPP(_u17198, _u17195), _u17196), _u17197)) | ~hBOOL(hAPP(hAPP(hAPP(_u17198, skolem444(_u17198, _u17197, _u17196, _u17195)), skolem445(_u17198, _u17197, _u17196, _u17195)), skolem446(_u17198, _u17197, _u17196, _u17195))) )).
% 13.06/13.33 cnf(matrix-7120, plain, ( ( c_Com_Obody = c_Map_Omap__of(tc_Com_Opname, tc_Com_Ocom, c_Com_Obodies)) )).
% 13.06/13.33 cnf(matrix-7121, plain, ( ~c_Fun_Oinj__on(_u17199, _u17200, _u17201, c_Orderings_Otop__class_Otop(tc_fun(_u17199, tc_HOL_Obool))) | ( hAPP(c_Map_Omap__of(_u17199, _u17202, _u17203), _u17204) != hAPP(c_Option_Ooption_OSome(_u17202), _u17205)) | ( hAPP(c_Map_Omap__of(_u17200, _u17202, hAPP(hAPP(c_List_Omap(tc_prod(_u17199, _u17202), tc_prod(_u17200, _u17202)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17199, _u17202, tc_prod(_u17200, _u17202)), hAPP(hAPP(c_COMBB(_u17200, tc_fun(_u17202, tc_prod(_u17200, _u17202)), _u17199), c_Product__Type_OPair(_u17200, _u17202)), _u17201))), _u17203)), hAPP(_u17201, _u17204)) = hAPP(c_Option_Ooption_OSome(_u17202), _u17205)) )).
% 13.06/13.33 cnf(matrix-7122, plain, ( ( c_Map_Omap__comp(_u17206, _u17207, _u17208, _u17209, _u17210, _u17211) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17207), _u17206, c_Option_Ooption_ONone(_u17207), _u17209), hAPP(_u17210, _u17211))) )).
% 13.06/13.33 cnf(matrix-7123, plain, ( ~c_Fun_Oinj__on(_u17212, _u17213, _u17214, c_Orderings_Otop__class_Otop(tc_fun(_u17212, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17212), tc_List_Olist(_u17213), hAPP(c_List_Omap(_u17212, _u17213), _u17214), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17212), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7124, plain, ( ( hAPP(_u17215, _u17216) != c_Option_Ooption_ONone(_u17217)) | ( c_Map_Omap__comp(_u17217, _u17218, _u17219, _u17220, _u17215, _u17216) = c_Option_Ooption_ONone(_u17218)) )).
% 13.06/13.33 cnf(matrix-7125, plain, ( ( c_Map_Omap__comp(_u17230, _u17232, _u17234, _u17236, _u17238, _u17240) != hAPP(c_Option_Ooption_OSome(_u17232), _u17242)) | ( hAPP(_u17238, _u17240) = hAPP(c_Option_Ooption_OSome(_u17230), skolem447(_u17242, _u17240, _u17238, _u17236, _u17234, _u17232, _u17230))) )).
% 13.06/13.33 cnf(matrix-7126, plain, ( ( c_Map_Omap__comp(_u17230, _u17232, _u17234, _u17236, _u17238, _u17240) != hAPP(c_Option_Ooption_OSome(_u17232), _u17242)) | ( hAPP(_u17236, skolem447(_u17242, _u17240, _u17238, _u17236, _u17234, _u17232, _u17230)) = hAPP(c_Option_Ooption_OSome(_u17232), _u17242)) )).
% 13.06/13.33 cnf(matrix-7127, plain, ( ( hAPP(_u17239, _u17241) != hAPP(c_Option_Ooption_OSome(_u17231), _u17222)) | ( hAPP(_u17237, _u17222) != hAPP(c_Option_Ooption_OSome(_u17233), _u17243)) | ( c_Map_Omap__comp(_u17231, _u17233, _u17235, _u17237, _u17239, _u17241) = hAPP(c_Option_Ooption_OSome(_u17233), _u17243)) )).
% 13.06/13.33 cnf(matrix-7128, plain, ( ( hAPP(_u17244, _u17245) != hAPP(c_Option_Ooption_OSome(_u17246), _u17247)) | ( c_Map_Omap__comp(_u17246, _u17248, _u17249, _u17250, _u17244, _u17245) = hAPP(_u17250, _u17247)) )).
% 13.06/13.33 cnf(matrix-7129, plain, ( ( hAPP(hAPP(c_List_Omap(_u17251, _u17252), _u17253), _u17254) != hAPP(hAPP(c_List_Omap(_u17251, _u17252), _u17253), _u17255)) | ~c_Fun_Oinj__on(_u17251, _u17252, _u17253, c_Orderings_Otop__class_Otop(tc_fun(_u17251, tc_HOL_Obool))) | ( _u17254 = _u17255) )).
% 13.06/13.33 cnf(matrix-7130, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17256), tc_List_Olist(_u17257), hAPP(c_List_Omap(_u17256, _u17257), _u17258), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17256), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17256, _u17257, _u17258, c_Orderings_Otop__class_Otop(tc_fun(_u17256, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7131, plain, ( ~c_Fun_Oinj__on(_u17259, _u17260, _u17261, c_Orderings_Otop__class_Otop(tc_fun(_u17259, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17262) != hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17263)) | ( _u17262 = _u17263) )).
% 13.06/13.33 cnf(matrix-7132, plain, ( ~c_Fun_Oinj__on(_u17259, _u17260, _u17261, c_Orderings_Otop__class_Otop(tc_fun(_u17259, tc_HOL_Obool))) | ( _u17262 != _u17263) | ( hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17262) = hAPP(hAPP(c_List_Omap(_u17259, _u17260), _u17261), _u17263)) )).
% 13.06/13.33 cnf(matrix-7133, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17267), tc_List_Olist(_u17269), hAPP(c_List_Omap(_u17267, _u17269), _u17271), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17267), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17267, _u17269, _u17271, c_Orderings_Otop__class_Otop(tc_fun(_u17267, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7134, plain, ( ~c_Fun_Oinj__on(_u17268, _u17270, _u17272, c_Orderings_Otop__class_Otop(tc_fun(_u17268, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17268), tc_List_Olist(_u17270), hAPP(c_List_Omap(_u17268, _u17270), _u17272), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17268), tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7135, plain, ( ( hAPP(hAPP(c_List_Omap(_u17273, _u17273), c_COMBI(_u17273)), _u17274) = _u17274) )).
% 13.06/13.33 cnf(matrix-7136, plain, ( ( hAPP(c_List_Omap(_u17275, _u17275), c_COMBI(_u17275)) = c_Fun_Oid(tc_List_Olist(_u17275))) )).
% 13.06/13.33 cnf(matrix-7137, plain, ( ( hAPP(c_List_Omap(_u17276, _u17276), c_Fun_Oid(_u17276)) = c_Fun_Oid(tc_List_Olist(_u17276))) )).
% 13.06/13.33 cnf(matrix-7138, plain, ( ( hAPP(hAPP(c_List_Omap(_u17277, _u17278), _u17279), hAPP(hAPP(c_List_Omap(_u17280, _u17277), _u17281), _u17282)) = hAPP(hAPP(c_List_Omap(_u17280, _u17278), hAPP(c_Fun_Ocomp(_u17277, _u17278, _u17280, _u17279), _u17281)), _u17282)) )).
% 13.06/13.33 cnf(matrix-7139, plain, ( ( hAPP(hAPP(c_List_Omap(_u17283, _u17284), _u17285), hAPP(hAPP(c_List_Omap(_u17286, _u17283), _u17287), _u17288)) = hAPP(hAPP(c_List_Omap(_u17286, _u17284), hAPP(c_Fun_Ocomp(_u17283, _u17284, _u17286, _u17285), _u17287)), _u17288)) )).
% 13.06/13.33 cnf(matrix-7140, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17289), tc_List_Olist(_u17290), tc_List_Olist(_u17291), hAPP(c_List_Omap(_u17289, _u17290), _u17292)), hAPP(c_List_Omap(_u17291, _u17289), _u17293)) = hAPP(c_List_Omap(_u17291, _u17290), hAPP(c_Fun_Ocomp(_u17289, _u17290, _u17291, _u17292), _u17293))) )).
% 13.06/13.33 cnf(matrix-7141, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17294), tc_List_Olist(_u17295), tc_List_Olist(_u17296), hAPP(c_List_Omap(_u17294, _u17295), _u17297)), hAPP(c_List_Omap(_u17296, _u17294), _u17298)) = hAPP(c_List_Omap(_u17296, _u17295), hAPP(c_Fun_Ocomp(_u17294, _u17295, _u17296, _u17297), _u17298))) )).
% 13.06/13.33 cnf(matrix-7142, plain, ( ( c_List_Ofoldr(_u17299, _u17300, _u17301, hAPP(hAPP(c_List_Omap(_u17302, _u17299), _u17303), _u17304), _u17305) = c_List_Ofoldr(_u17302, _u17300, hAPP(c_Fun_Ocomp(_u17299, tc_fun(_u17300, _u17300), _u17302, _u17301), _u17303), _u17304, _u17305)) )).
% 13.06/13.33 cnf(matrix-7143, plain, ( ( c_Map_Omap__comp(_u17306, _u17307, _u17308, _u17309, hAPP(c_COMBK(tc_Option_Ooption(_u17306), _u17308), c_Option_Ooption_ONone(_u17306)), _u17310) = c_Option_Ooption_ONone(_u17307)) )).
% 13.06/13.33 cnf(matrix-7144, plain, ( ( c_Map_Omap__comp(_u17311, _u17312, _u17313, hAPP(c_COMBK(tc_Option_Ooption(_u17312), _u17311), c_Option_Ooption_ONone(_u17312)), _u17314, _u17315) = c_Option_Ooption_ONone(_u17312)) )).
% 13.06/13.33 cnf(matrix-7145, plain, ( ( c_Map_Omap__comp(_u17324, _u17326, _u17328, _u17330, _u17332, _u17334) != c_Option_Ooption_ONone(_u17326)) | ( hAPP(_u17332, _u17334) = c_Option_Ooption_ONone(_u17324)) | ( hAPP(_u17332, _u17334) = hAPP(c_Option_Ooption_OSome(_u17324), skolem448(_u17334, _u17332, _u17330, _u17328, _u17326, _u17324))) )).
% 13.06/13.33 cnf(matrix-7146, plain, ( ( c_Map_Omap__comp(_u17324, _u17326, _u17328, _u17330, _u17332, _u17334) != c_Option_Ooption_ONone(_u17326)) | ( hAPP(_u17332, _u17334) = c_Option_Ooption_ONone(_u17324)) | ( hAPP(_u17330, skolem448(_u17334, _u17332, _u17330, _u17328, _u17326, _u17324)) = c_Option_Ooption_ONone(_u17326)) )).
% 13.06/13.33 cnf(matrix-7147, plain, ( ( c_Map_Omap__comp(_u17325, _u17327, _u17329, _u17331, _u17333, _u17335) = c_Option_Ooption_ONone(_u17327)) | ( hAPP(_u17333, _u17335) != c_Option_Ooption_ONone(_u17325)) )).
% 13.06/13.33 cnf(matrix-7148, plain, ( ( c_Map_Omap__comp(_u17325, _u17327, _u17329, _u17331, _u17333, _u17335) = c_Option_Ooption_ONone(_u17327)) | ( hAPP(_u17333, _u17335) != hAPP(c_Option_Ooption_OSome(_u17325), _u17317)) | ( hAPP(_u17331, _u17317) != c_Option_Ooption_ONone(_u17327)) )).
% 13.06/13.33 cnf(matrix-7149, plain, ( ( c_Map_Omap__of(_u17336, _u17337, hAPP(hAPP(c_List_Omap(tc_prod(_u17336, _u17338), tc_prod(_u17336, _u17337)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17336, _u17338, tc_prod(_u17336, _u17337)), hAPP(hAPP(c_COMBC(_u17336, tc_fun(_u17338, _u17337), tc_fun(_u17338, tc_prod(_u17336, _u17337))), hAPP(hAPP(c_COMBB(tc_fun(_u17337, tc_prod(_u17336, _u17337)), tc_fun(tc_fun(_u17338, _u17337), tc_fun(_u17338, tc_prod(_u17336, _u17337))), _u17336), c_COMBB(_u17337, tc_prod(_u17336, _u17337), _u17338)), c_Product__Type_OPair(_u17336, _u17337))), _u17339))), _u17340)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17338), tc_Option_Ooption(_u17337), _u17336, hAPP(c_Option_Omap(_u17338, _u17337), _u17339)), c_Map_Omap__of(_u17336, _u17338, _u17340))) )).
% 13.06/13.33 cnf(matrix-7150, plain, ( ( hAPP(c_List_Oset(_u17341), _u17342) != c_Map_Odom(_u17341, _u17343, _u17344)) | ( c_Map_Omap__of(_u17341, _u17343, hAPP(hAPP(c_List_Omap(_u17341, tc_prod(_u17341, _u17343)), hAPP(hAPP(c_COMBS(_u17341, _u17343, tc_prod(_u17341, _u17343)), c_Product__Type_OPair(_u17341, _u17343)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17343), _u17343, _u17341), c_Option_Othe(_u17343)), _u17344))), _u17342)) = _u17344) )).
% 13.06/13.33 cnf(matrix-7151, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17345), hAPP(c_List_Oset(_u17345), _u17346))) )).
% 13.06/13.33 cnf(matrix-7152, plain, ( ( hAPP(c_List_Oset(_u17347), hAPP(hAPP(c_List_Omap(_u17348, _u17347), _u17349), _u17350)) = hAPP(c_Set_Oimage(_u17348, _u17347, _u17349), hAPP(c_List_Oset(_u17348), _u17350))) )).
% 13.06/13.33 cnf(matrix-7153, plain, ( ( hAPP(hAPP(c_List_Omap(_u17358, _u17360), _u17362), _u17364) != hAPP(hAPP(c_List_Omap(_u17358, _u17360), _u17366), _u17364)) | ~hBOOL(hAPP(hAPP(c_member(_u17358), _u17351), hAPP(c_List_Oset(_u17358), _u17364))) | ( hAPP(_u17362, _u17351) = hAPP(_u17366, _u17351)) )).
% 13.06/13.33 cnf(matrix-7154, plain, ( ( hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17363), _u17365) = hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17367), _u17365)) | hBOOL(hAPP(hAPP(c_member(_u17359), skolem449(_u17367, _u17365, _u17363, _u17361, _u17359)), hAPP(c_List_Oset(_u17359), _u17365))) )).
% 13.06/13.33 cnf(matrix-7155, plain, ( ( hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17363), _u17365) = hAPP(hAPP(c_List_Omap(_u17359, _u17361), _u17367), _u17365)) | ( hAPP(_u17363, skolem449(_u17367, _u17365, _u17363, _u17361, _u17359)) != hAPP(_u17367, skolem449(_u17367, _u17365, _u17363, _u17361, _u17359))) )).
% 13.06/13.33 cnf(matrix-7156, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17368), tc_Option_Ooption(_u17369), tc_Option_Ooption(_u17370), hAPP(c_Option_Omap(_u17368, _u17369), _u17371)), hAPP(c_Option_Omap(_u17370, _u17368), _u17372)) = hAPP(c_Option_Omap(_u17370, _u17369), hAPP(c_Fun_Ocomp(_u17368, _u17369, _u17370, _u17371), _u17372))) )).
% 13.06/13.33 cnf(matrix-7157, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17373, _u17374), _u17375), hAPP(hAPP(c_Option_Omap(_u17376, _u17373), _u17377), _u17378)) = hAPP(hAPP(c_Option_Omap(_u17376, _u17374), hAPP(c_Fun_Ocomp(_u17373, _u17374, _u17376, _u17375), _u17377)), _u17378)) )).
% 13.06/13.33 cnf(matrix-7158, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17379, _u17380), _u17381), hAPP(hAPP(c_Option_Omap(_u17382, _u17379), _u17383), _u17384)) = hAPP(hAPP(c_Option_Omap(_u17382, _u17380), hAPP(c_Fun_Ocomp(_u17379, _u17380, _u17382, _u17381), _u17383)), _u17384)) )).
% 13.06/13.33 cnf(matrix-7159, plain, ( ( hAPP(c_Option_Omap(_u17385, _u17385), c_COMBI(_u17385)) = c_Fun_Oid(tc_Option_Ooption(_u17385))) )).
% 13.06/13.33 cnf(matrix-7160, plain, ( ( hAPP(c_Option_Omap(_u17386, _u17386), c_Fun_Oid(_u17386)) = c_Fun_Oid(tc_Option_Ooption(_u17386))) )).
% 13.06/13.33 cnf(matrix-7161, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17387)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17387), tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-7162, plain, ( ( c_Map_Odom(_u17388, _u17389, hAPP(hAPP(c_COMBS(_u17388, tc_Option_Ooption(_u17390), tc_Option_Ooption(_u17389)), hAPP(hAPP(c_COMBB(tc_fun(_u17390, _u17389), tc_fun(tc_Option_Ooption(_u17390), tc_Option_Ooption(_u17389)), _u17388), c_Option_Omap(_u17390, _u17389)), _u17391)), _u17392)) = c_Map_Odom(_u17388, _u17390, _u17392)) )).
% 13.06/13.33 cnf(matrix-7163, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17393, _u17394), _u17395), hAPP(c_Option_Ooption_OSome(_u17393), _u17396)) = hAPP(c_Option_Ooption_OSome(_u17394), hAPP(_u17395, _u17396))) )).
% 13.06/13.33 cnf(matrix-7164, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17404, _u17406), _u17408), _u17410) != hAPP(c_Option_Ooption_OSome(_u17406), _u17412)) | ( _u17410 = hAPP(c_Option_Ooption_OSome(_u17404), skolem450(_u17412, _u17410, _u17408, _u17406, _u17404))) )).
% 13.06/13.33 cnf(matrix-7165, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17404, _u17406), _u17408), _u17410) != hAPP(c_Option_Ooption_OSome(_u17406), _u17412)) | ( hAPP(_u17408, skolem450(_u17412, _u17410, _u17408, _u17406, _u17404)) = _u17412) )).
% 13.06/13.33 cnf(matrix-7166, plain, ( ( _u17411 != hAPP(c_Option_Ooption_OSome(_u17405), _u17398)) | ( hAPP(_u17409, _u17398) != _u17413) | ( hAPP(hAPP(c_Option_Omap(_u17405, _u17407), _u17409), _u17411) = hAPP(c_Option_Ooption_OSome(_u17407), _u17413)) )).
% 13.06/13.33 cnf(matrix-7167, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17414, _u17415), _u17416), c_Option_Ooption_ONone(_u17414)) = c_Option_Ooption_ONone(_u17415)) )).
% 13.06/13.33 cnf(matrix-7168, plain, ( ( hAPP(hAPP(c_Option_Omap(_u17421, _u17423), _u17425), _u17427) != c_Option_Ooption_ONone(_u17423)) | ( _u17427 = c_Option_Ooption_ONone(_u17421)) )).
% 13.06/13.33 cnf(matrix-7169, plain, ( ( _u17428 != c_Option_Ooption_ONone(_u17422)) | ( hAPP(hAPP(c_Option_Omap(_u17422, _u17424), _u17426), _u17428) = c_Option_Ooption_ONone(_u17424)) )).
% 13.06/13.33 cnf(matrix-7170, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17429), tc_Option_Ooption(_u17430), _u17431, hAPP(c_Option_Omap(_u17429, _u17430), _u17432)), hAPP(c_COMBK(tc_Option_Ooption(_u17429), _u17431), c_Option_Ooption_ONone(_u17429))), _u17433) = c_Option_Ooption_ONone(_u17430)) )).
% 13.06/13.33 cnf(matrix-7171, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17434), tc_Option_Ooption(_u17435), _u17436, hAPP(c_Option_Omap(_u17434, _u17435), _u17437)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17436, tc_Option_Ooption(_u17434)), _u17438), _u17439), hAPP(c_Option_Ooption_OSome(_u17434), _u17440))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17436, tc_Option_Ooption(_u17435)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u17434), tc_Option_Ooption(_u17435), _u17436, hAPP(c_Option_Omap(_u17434, _u17435), _u17437)), _u17438)), _u17439), hAPP(c_Option_Ooption_OSome(_u17435), hAPP(_u17437, _u17440)))) )).
% 13.06/13.33 cnf(matrix-7172, plain, ( ( hAPP(hAPP(c_List_Omap(_u17441, _u17442), _u17443), _u17444) != hAPP(hAPP(c_List_Omap(_u17441, _u17442), _u17443), _u17445)) | ~c_Fun_Oinj__on(_u17441, _u17442, _u17443, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17441, tc_HOL_Obool)), hAPP(c_List_Oset(_u17441), _u17444)), hAPP(c_List_Oset(_u17441), _u17445))) | ( _u17444 = _u17445) )).
% 13.06/13.33 cnf(matrix-7173, plain, ( ~c_Fun_Oinj__on(_u17446, _u17447, _u17448, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17446, tc_HOL_Obool)), hAPP(c_List_Oset(_u17446), _u17449)), hAPP(c_List_Oset(_u17446), _u17450))) | ( hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17449) != hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17450)) | ( _u17449 = _u17450) )).
% 13.06/13.33 cnf(matrix-7174, plain, ( ~c_Fun_Oinj__on(_u17446, _u17447, _u17448, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17446, tc_HOL_Obool)), hAPP(c_List_Oset(_u17446), _u17449)), hAPP(c_List_Oset(_u17446), _u17450))) | ( _u17449 != _u17450) | ( hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17449) = hAPP(hAPP(c_List_Omap(_u17446, _u17447), _u17448), _u17450)) )).
% 13.06/13.33 cnf(matrix-7175, plain, ( hBOOL(hAPP(hAPP(c_member(_u17451), _u17452), hAPP(c_List_Oset(_u17451), _u17453))) | ( hAPP(hAPP(c_List_Omap(_u17451, _u17454), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17451, _u17454), _u17455), _u17452), _u17456)), _u17453) = hAPP(hAPP(c_List_Omap(_u17451, _u17454), _u17455), _u17453)) )).
% 13.06/13.33 cnf(matrix-7176, plain, ( ~c_Fun_Oinj__on(_u17457, _u17458, _u17459, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17457, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17457), tc_fun(_u17457, tc_HOL_Obool), c_List_Oset(_u17457)), _u17460))) | c_Fun_Oinj__on(tc_List_Olist(_u17457), tc_List_Olist(_u17458), hAPP(c_List_Omap(_u17457, _u17458), _u17459), _u17460) )).
% 13.06/13.33 cnf(matrix-7177, plain, ( ( c_Map_Omap__of(_u17461, _u17462, _u17463) != c_Map_Omap__of(_u17461, _u17462, _u17464)) | ( hAPP(c_Set_Oimage(tc_prod(_u17461, _u17462), _u17461, c_Product__Type_Ofst(_u17461, _u17462)), hAPP(c_List_Oset(tc_prod(_u17461, _u17462)), _u17463)) = hAPP(c_Set_Oimage(tc_prod(_u17461, _u17462), _u17461, c_Product__Type_Ofst(_u17461, _u17462)), hAPP(c_List_Oset(tc_prod(_u17461, _u17462)), _u17464))) )).
% 13.06/13.33 cnf(matrix-7178, plain, ( ( hAPP(c_Map_Omap__of(_u17465, _u17466, _u17467), _u17468) != hAPP(c_Option_Ooption_OSome(_u17466), _u17469)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17465, _u17466)), hAPP(hAPP(c_Product__Type_OPair(_u17465, _u17466), _u17468), _u17469)), hAPP(c_List_Oset(tc_prod(_u17465, _u17466)), _u17467))) )).
% 13.06/13.33 cnf(matrix-7179, plain, ( ( hAPP(c_Map_Omap__of(_u17470, _u17471, _u17472), _u17473) != hAPP(c_Option_Ooption_OSome(_u17471), _u17474)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17470, _u17471)), hAPP(hAPP(c_Product__Type_OPair(_u17470, _u17471), _u17473), _u17474)), hAPP(c_List_Oset(tc_prod(_u17470, _u17471)), _u17472))) )).
% 13.06/13.33 cnf(matrix-7180, plain, ( ( c_Map_Odom(_u17475, _u17476, c_Map_Omap__of(_u17475, _u17476, _u17477)) = hAPP(c_Set_Oimage(tc_prod(_u17475, _u17476), _u17475, c_Product__Type_Ofst(_u17475, _u17476)), hAPP(c_List_Oset(tc_prod(_u17475, _u17476)), _u17477))) )).
% 13.06/13.33 cnf(matrix-7181, plain, ( ( hAPP(c_Map_Omap__of(_u17482, _u17484, _u17486), _u17488) != c_Option_Ooption_ONone(_u17484)) | ~hBOOL(hAPP(hAPP(c_member(_u17482), _u17488), hAPP(c_Set_Oimage(tc_prod(_u17482, _u17484), _u17482, c_Product__Type_Ofst(_u17482, _u17484)), hAPP(c_List_Oset(tc_prod(_u17482, _u17484)), _u17486)))) )).
% 13.06/13.33 cnf(matrix-7182, plain, ( hBOOL(hAPP(hAPP(c_member(_u17483), _u17489), hAPP(c_Set_Oimage(tc_prod(_u17483, _u17485), _u17483, c_Product__Type_Ofst(_u17483, _u17485)), hAPP(c_List_Oset(tc_prod(_u17483, _u17485)), _u17487)))) | ( hAPP(c_Map_Omap__of(_u17483, _u17485, _u17487), _u17489) = c_Option_Ooption_ONone(_u17485)) )).
% 13.06/13.33 cnf(matrix-7183, plain, ( ( hAPP(c_Option_Omap(_u17490, _u17491), _u17492) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u17491), _u17490, c_Option_Ooption_ONone(_u17491), hAPP(hAPP(c_COMBB(_u17491, tc_Option_Ooption(_u17491), _u17490), c_Option_Ooption_OSome(_u17491)), _u17492))) )).
% 13.06/13.33 cnf(matrix-7184, plain, ( ~c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), _u17493), hAPP(c_List_Oset(tc_prod(tc_Com_Opname, tc_Com_Ocom)), c_Com_Obodies))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname, tc_Com_Ocom, tc_HOL_Obool), hAPP(c_COMBK(tc_fun(tc_Com_Ocom, tc_HOL_Obool), tc_Com_Opname), c_Com_OWT)), _u17493)) )).
% 13.06/13.33 cnf(matrix-7185, plain, ( c_Com_OWT__bodies | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname, tc_Com_Ocom)), skolem451), hAPP(c_List_Oset(tc_prod(tc_Com_Opname, tc_Com_Ocom)), c_Com_Obodies))) )).
% 13.06/13.33 cnf(matrix-7186, plain, ( c_Com_OWT__bodies | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname, tc_Com_Ocom, tc_HOL_Obool), hAPP(c_COMBK(tc_fun(tc_Com_Ocom, tc_HOL_Obool), tc_Com_Opname), c_Com_OWT)), skolem451)) )).
% 13.06/13.33 cnf(matrix-7187, plain, ( ( c_Map_Omap__of(_u17495, _u17496, hAPP(hAPP(c_List_Omap(_u17495, tc_prod(_u17495, _u17496)), hAPP(hAPP(c_COMBS(_u17495, _u17496, tc_prod(_u17495, _u17496)), c_Product__Type_OPair(_u17495, _u17496)), _u17497)), _u17498)) = c_Map_Orestrict__map(_u17495, _u17496, hAPP(c_Fun_Ocomp(_u17496, tc_Option_Ooption(_u17496), _u17495, c_Option_Ooption_OSome(_u17496)), _u17497), hAPP(c_List_Oset(_u17495), _u17498))) )).
% 13.06/13.33 cnf(matrix-7188, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17499), hAPP(hAPP(c_List_Omap(tc_prod(_u17499, _u17500), _u17499), c_Product__Type_Ofst(_u17499, _u17500)), _u17501))) | ( c_Map_Oran(_u17499, _u17500, c_Map_Omap__of(_u17499, _u17500, _u17501)) = hAPP(c_Set_Oimage(tc_prod(_u17499, _u17500), _u17500, c_Product__Type_Osnd(_u17499, _u17500)), hAPP(c_List_Oset(tc_prod(_u17499, _u17500)), _u17501))) )).
% 13.06/13.33 cnf(matrix-7189, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17502), hAPP(hAPP(c_List_Omap(tc_prod(_u17502, _u17503), _u17502), c_Product__Type_Ofst(_u17502, _u17503)), _u17504))) | ( hAPP(c_List_Oset(tc_prod(_u17502, _u17503)), _u17504) = hAPP(c_Set_OCollect(tc_prod(_u17502, _u17503)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17502, _u17503, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17502, tc_fun(_u17503, tc_Option_Ooption(_u17503)), tc_fun(_u17503, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17503), tc_HOL_Obool), tc_fun(tc_fun(_u17503, tc_Option_Ooption(_u17503)), tc_fun(_u17503, tc_HOL_Obool)), _u17502), c_COMBB(tc_Option_Ooption(_u17503), tc_HOL_Obool, _u17503)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u17503), tc_fun(tc_Option_Ooption(_u17503), tc_HOL_Obool), _u17502), c_fequal), c_Map_Omap__of(_u17502, _u17503, _u17504)))), c_Option_Ooption_OSome(_u17503))))) )).
% 13.06/13.33 cnf(matrix-7190, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17509), hAPP(hAPP(c_List_Omap(_u17511, _u17509), _u17513), _u17515))) | hBOOL(hAPP(c_List_Odistinct(_u17511), _u17515)) )).
% 13.06/13.33 cnf(matrix-7191, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17509), hAPP(hAPP(c_List_Omap(_u17511, _u17509), _u17513), _u17515))) | c_Fun_Oinj__on(_u17511, _u17509, _u17513, hAPP(c_List_Oset(_u17511), _u17515)) )).
% 13.06/13.33 cnf(matrix-7192, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17512), _u17516)) | ~c_Fun_Oinj__on(_u17512, _u17510, _u17514, hAPP(c_List_Oset(_u17512), _u17516)) | hBOOL(hAPP(c_List_Odistinct(_u17510), hAPP(hAPP(c_List_Omap(_u17512, _u17510), _u17514), _u17516))) )).
% 13.06/13.33 cnf(matrix-7193, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17519))) | ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17520))) | ( c_Map_Omap__of(_u17517, _u17518, _u17519) != c_Map_Omap__of(_u17517, _u17518, _u17520)) | ( hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17519) = hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17520)) )).
% 13.06/13.33 cnf(matrix-7194, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17519))) | ~hBOOL(hAPP(c_List_Odistinct(_u17517), hAPP(hAPP(c_List_Omap(tc_prod(_u17517, _u17518), _u17517), c_Product__Type_Ofst(_u17517, _u17518)), _u17520))) | ( hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17519) != hAPP(c_List_Oset(tc_prod(_u17517, _u17518)), _u17520)) | ( c_Map_Omap__of(_u17517, _u17518, _u17519) = c_Map_Omap__of(_u17517, _u17518, _u17520)) )).
% 13.06/13.33 cnf(matrix-7195, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17521), hAPP(hAPP(c_List_Omap(tc_prod(_u17521, _u17522), _u17521), c_Product__Type_Ofst(_u17521, _u17522)), _u17523))) | ( hAPP(c_Option_Ooption_OSome(_u17522), _u17524) != hAPP(c_Map_Omap__of(_u17521, _u17522, _u17523), _u17525)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17521, _u17522)), hAPP(hAPP(c_Product__Type_OPair(_u17521, _u17522), _u17525), _u17524)), hAPP(c_List_Oset(tc_prod(_u17521, _u17522)), _u17523))) )).
% 13.06/13.33 cnf(matrix-7196, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17521), hAPP(hAPP(c_List_Omap(tc_prod(_u17521, _u17522), _u17521), c_Product__Type_Ofst(_u17521, _u17522)), _u17523))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17521, _u17522)), hAPP(hAPP(c_Product__Type_OPair(_u17521, _u17522), _u17525), _u17524)), hAPP(c_List_Oset(tc_prod(_u17521, _u17522)), _u17523))) | ( hAPP(c_Option_Ooption_OSome(_u17522), _u17524) = hAPP(c_Map_Omap__of(_u17521, _u17522, _u17523), _u17525)) )).
% 13.06/13.33 cnf(matrix-7197, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17526), hAPP(hAPP(c_List_Omap(tc_prod(_u17526, _u17527), _u17526), c_Product__Type_Ofst(_u17526, _u17527)), _u17528))) | ( hAPP(c_Map_Omap__of(_u17526, _u17527, _u17528), _u17529) != hAPP(c_Option_Ooption_OSome(_u17527), _u17530)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17526, _u17527)), hAPP(hAPP(c_Product__Type_OPair(_u17526, _u17527), _u17529), _u17530)), hAPP(c_List_Oset(tc_prod(_u17526, _u17527)), _u17528))) )).
% 13.06/13.33 cnf(matrix-7198, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17526), hAPP(hAPP(c_List_Omap(tc_prod(_u17526, _u17527), _u17526), c_Product__Type_Ofst(_u17526, _u17527)), _u17528))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17526, _u17527)), hAPP(hAPP(c_Product__Type_OPair(_u17526, _u17527), _u17529), _u17530)), hAPP(c_List_Oset(tc_prod(_u17526, _u17527)), _u17528))) | ( hAPP(c_Map_Omap__of(_u17526, _u17527, _u17528), _u17529) = hAPP(c_Option_Ooption_OSome(_u17527), _u17530)) )).
% 13.06/13.33 cnf(matrix-7199, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17531), hAPP(hAPP(c_List_Omap(tc_prod(_u17531, _u17532), _u17531), c_Product__Type_Ofst(_u17531, _u17532)), _u17533))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17531, _u17532)), hAPP(hAPP(c_Product__Type_OPair(_u17531, _u17532), _u17534), _u17535)), hAPP(c_List_Oset(tc_prod(_u17531, _u17532)), _u17533))) | ( hAPP(c_Map_Omap__of(_u17531, _u17532, _u17533), _u17534) = hAPP(c_Option_Ooption_OSome(_u17532), _u17535)) )).
% 13.06/13.33 cnf(matrix-7200, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u17536, _u17537) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17536), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17537), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 13.06/13.33 cnf(matrix-7201, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17539, _u17540)), hAPP(hAPP(c_Product__Type_OPair(_u17539, _u17540), _u17541), _u17542)), hAPP(c_List_Oset(tc_prod(_u17539, _u17540)), _u17543))) | ( hAPP(c_Map_Omap__of(_u17539, _u17540, _u17543), _u17541) = hAPP(c_Option_Ooption_OSome(_u17540), skolem452(_u17543, _u17542, _u17541, _u17540, _u17539))) )).
% 13.06/13.33 cnf(matrix-7202, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17544, _u17545) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17544, _u17545))) )).
% 13.06/13.33 cnf(matrix-7203, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17546, _u17547)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u17546, _u17547)) )).
% 13.06/13.33 cnf(matrix-7204, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u17548, _u17549))) )).
% 13.06/13.33 cnf(matrix-7205, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u17550), _u17551) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17550, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u17551), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 13.06/13.33 cnf(matrix-7206, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u17552, _u17553) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u17552), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u17553))) )).
% 13.06/13.33 cnf(matrix-7207, plain, ( ~c_List_Onat__list(_u17555) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17555)) )).
% 13.06/13.33 cnf(matrix-7208, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u17556)) | c_List_Onat__list(_u17556) )).
% 13.06/13.33 cnf(matrix-7209, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17557), _u17558)) | ( hAPP(c_List_Oset(_u17557), c_List_Oremove1(_u17557, _u17559, _u17558)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17557, tc_HOL_Obool)), hAPP(c_List_Oset(_u17557), _u17558)), hAPP(hAPP(c_Set_Oinsert(_u17557), _u17559), c_Orderings_Obot__class_Obot(tc_fun(_u17557, tc_HOL_Obool))))) )).
% 13.06/13.33 cnf(matrix-7210, plain, ( hBOOL(hAPP(hAPP(c_member(_u17560), _u17561), hAPP(c_List_Oset(_u17560), _u17562))) | ( c_List_Oremove1(_u17560, _u17561, _u17562) = _u17562) )).
% 13.06/13.33 cnf(matrix-7211, plain, ( hBOOL(hAPP(hAPP(c_member(_u17563), _u17564), hAPP(c_List_Oset(_u17563), _u17565))) | ~hBOOL(hAPP(hAPP(c_member(_u17563), _u17564), hAPP(c_List_Oset(_u17563), c_List_Oremove1(_u17563, _u17566, _u17565)))) )).
% 13.06/13.33 cnf(matrix-7212, plain, ( ( _u17567 = _u17568) | ~hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), c_List_Oremove1(_u17569, _u17568, _u17570)))) | hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), _u17570))) )).
% 13.06/13.33 cnf(matrix-7213, plain, ( ( _u17567 = _u17568) | ~hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), _u17570))) | hBOOL(hAPP(hAPP(c_member(_u17569), _u17567), hAPP(c_List_Oset(_u17569), c_List_Oremove1(_u17569, _u17568, _u17570)))) )).
% 13.06/13.33 cnf(matrix-7214, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17571, tc_HOL_Obool)), hAPP(c_List_Oset(_u17571), c_List_Oremove1(_u17571, _u17572, _u17573))), hAPP(c_List_Oset(_u17571), _u17573))) )).
% 13.06/13.33 cnf(matrix-7215, plain, ( ( c_List_Oremove1(_u17574, _u17575, c_List_Oremove1(_u17574, _u17576, _u17577)) = c_List_Oremove1(_u17574, _u17576, c_List_Oremove1(_u17574, _u17575, _u17577))) )).
% 13.06/13.33 cnf(matrix-7216, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17578), _u17579)) | hBOOL(hAPP(c_List_Odistinct(_u17578), c_List_Oremove1(_u17578, _u17580, _u17579))) )).
% 13.06/13.33 cnf(matrix-7217, plain, ( ~class_Orderings_Olinorder(_u17581) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17581), _u17582)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17581, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17581, tc_HOL_Obool)), _u17582), hAPP(hAPP(c_Set_Oinsert(_u17581), _u17583), c_Orderings_Obot__class_Obot(tc_fun(_u17581, tc_HOL_Obool))))) = c_List_Oremove1(_u17581, _u17583, c_List_Olinorder__class_Osorted__list__of__set(_u17581, _u17582))) )).
% 13.06/13.33 cnf(matrix-7218, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17589), _u17591), hAPP(c_List_Oset(_u17589), _u17593))) | ( hAPP(c_Map_Omap__of(_u17589, _u17595, hAPP(hAPP(c_List_Ozip(_u17589, _u17595), _u17593), hAPP(hAPP(c_List_Omap(_u17589, _u17595), _u17597), _u17593))), _u17591) = hAPP(c_Option_Ooption_OSome(_u17595), hAPP(_u17597, _u17591))) )).
% 13.06/13.33 cnf(matrix-7219, plain, ( hBOOL(hAPP(hAPP(c_member(_u17590), _u17592), hAPP(c_List_Oset(_u17590), _u17594))) | ( hAPP(c_Map_Omap__of(_u17590, _u17596, hAPP(hAPP(c_List_Ozip(_u17590, _u17596), _u17594), hAPP(hAPP(c_List_Omap(_u17590, _u17596), _u17598), _u17594))), _u17592) = c_Option_Ooption_ONone(_u17596)) )).
% 13.06/13.33 cnf(matrix-7220, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17599), _u17600)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17601, _u17599)), hAPP(hAPP(c_List_Ozip(_u17601, _u17599), _u17602), _u17600))) )).
% 13.06/13.33 cnf(matrix-7221, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17603), _u17604)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17603, _u17605)), hAPP(hAPP(c_List_Ozip(_u17603, _u17605), _u17604), _u17606))) )).
% 13.06/13.33 cnf(matrix-7222, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17607, _u17607), _u17608), _u17608) = hAPP(hAPP(c_List_Omap(_u17607, tc_prod(_u17607, _u17607)), hAPP(hAPP(c_COMBS(_u17607, _u17607, tc_prod(_u17607, _u17607)), c_Product__Type_OPair(_u17607, _u17607)), c_COMBI(_u17607))), _u17608)) )).
% 13.06/13.33 cnf(matrix-7223, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17609, _u17610), hAPP(hAPP(c_List_Omap(tc_prod(_u17609, _u17610), _u17609), c_Product__Type_Ofst(_u17609, _u17610)), _u17611)), hAPP(hAPP(c_List_Omap(tc_prod(_u17609, _u17610), _u17610), c_Product__Type_Osnd(_u17609, _u17610)), _u17611)) = _u17611) )).
% 13.06/13.33 cnf(matrix-7224, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17612, _u17613), _u17614), _u17615), hAPP(hAPP(c_List_Ozip(_u17612, _u17613), hAPP(hAPP(c_List_Omap(_u17616, _u17612), _u17617), _u17618)), _u17619)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17616, _u17613), _u17614), hAPP(c_Product__Type_Oprod_Oprod__case(_u17616, _u17613, _u17614), hAPP(hAPP(c_COMBB(tc_fun(_u17613, tc_prod(_u17612, _u17613)), tc_fun(_u17613, _u17614), _u17616), hAPP(c_COMBB(tc_prod(_u17612, _u17613), _u17614, _u17613), _u17615)), hAPP(hAPP(c_COMBB(_u17612, tc_fun(_u17613, tc_prod(_u17612, _u17613)), _u17616), c_Product__Type_OPair(_u17612, _u17613)), _u17617)))), hAPP(hAPP(c_List_Ozip(_u17616, _u17613), _u17618), _u17619))) )).
% 13.06/13.33 cnf(matrix-7225, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17620, _u17621), _u17622), _u17623), hAPP(hAPP(c_List_Ozip(_u17620, _u17621), _u17624), hAPP(hAPP(c_List_Omap(_u17625, _u17621), _u17626), _u17627))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17620, _u17625), _u17622), hAPP(c_Product__Type_Oprod_Oprod__case(_u17620, _u17625, _u17622), hAPP(hAPP(c_COMBB(tc_fun(_u17625, tc_prod(_u17620, _u17621)), tc_fun(_u17625, _u17622), _u17620), hAPP(c_COMBB(tc_prod(_u17620, _u17621), _u17622, _u17625), _u17623)), hAPP(hAPP(c_COMBC(_u17620, tc_fun(_u17625, _u17621), tc_fun(_u17625, tc_prod(_u17620, _u17621))), hAPP(hAPP(c_COMBB(tc_fun(_u17621, tc_prod(_u17620, _u17621)), tc_fun(tc_fun(_u17625, _u17621), tc_fun(_u17625, tc_prod(_u17620, _u17621))), _u17620), c_COMBB(_u17621, tc_prod(_u17620, _u17621), _u17625)), c_Product__Type_OPair(_u17620, _u17621))), _u17626)))), hAPP(hAPP(c_List_Ozip(_u17620, _u17625), _u17624), _u17627))) )).
% 13.06/13.33 cnf(matrix-7226, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_Product__Type_OPair(_u17632, _u17632), _u17634), _u17636)), hAPP(c_List_Oset(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_List_Ozip(_u17632, _u17632), _u17638), _u17638)))) | hBOOL(hAPP(hAPP(c_member(_u17632), _u17634), hAPP(c_List_Oset(_u17632), _u17638))) )).
% 13.06/13.33 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_Product__Type_OPair(_u17632, _u17632), _u17634), _u17636)), hAPP(c_List_Oset(tc_prod(_u17632, _u17632)), hAPP(hAPP(c_List_Ozip(_u17632, _u17632), _u17638), _u17638)))) | ( _u17634 = _u17636) )).
% 13.06/13.33 cnf(matrix-7228, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17633), _u17635), hAPP(c_List_Oset(_u17633), _u17639))) | ( _u17635 != _u17637) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17633, _u17633)), hAPP(hAPP(c_Product__Type_OPair(_u17633, _u17633), _u17635), _u17637)), hAPP(c_List_Oset(tc_prod(_u17633, _u17633)), hAPP(hAPP(c_List_Ozip(_u17633, _u17633), _u17639), _u17639)))) )).
% 13.06/13.33 cnf(matrix-7229, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17640, _u17641)), hAPP(hAPP(c_Product__Type_OPair(_u17640, _u17641), _u17642), _u17643)), hAPP(c_List_Oset(tc_prod(_u17640, _u17641)), hAPP(hAPP(c_List_Ozip(_u17640, _u17641), _u17644), _u17645)))) | hBOOL(hAPP(hAPP(c_member(_u17640), _u17642), hAPP(c_List_Oset(_u17640), _u17644))) )).
% 13.06/13.33 cnf(matrix-7230, plain, ( hBOOL(hAPP(hAPP(c_member(_u17647), _u17649), hAPP(c_List_Oset(_u17647), _u17651))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17646, _u17647)), hAPP(hAPP(c_Product__Type_OPair(_u17646, _u17647), _u17648), _u17649)), hAPP(c_List_Oset(tc_prod(_u17646, _u17647)), hAPP(hAPP(c_List_Ozip(_u17646, _u17647), _u17650), _u17651)))) )).
% 13.06/13.33 cnf(matrix-7231, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_Product__Type_OPair(_u17652, _u17653), _u17654), _u17655)), hAPP(c_List_Oset(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_List_Ozip(_u17652, _u17653), _u17656), _u17657)))) | hBOOL(hAPP(hAPP(c_member(_u17652), _u17654), hAPP(c_List_Oset(_u17652), _u17656))) )).
% 13.06/13.33 cnf(matrix-7232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_Product__Type_OPair(_u17652, _u17653), _u17654), _u17655)), hAPP(c_List_Oset(tc_prod(_u17652, _u17653)), hAPP(hAPP(c_List_Ozip(_u17652, _u17653), _u17656), _u17657)))) | hBOOL(hAPP(hAPP(c_member(_u17653), _u17655), hAPP(c_List_Oset(_u17653), _u17657))) )).
% 13.06/13.33 cnf(matrix-7233, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17658, _u17659), hAPP(hAPP(c_List_Omap(_u17660, _u17658), _u17661), _u17662)), hAPP(hAPP(c_List_Omap(_u17663, _u17659), _u17664), _u17665)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17660, _u17663), tc_prod(_u17658, _u17659)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17660, _u17663, tc_prod(_u17658, _u17659)), hAPP(hAPP(c_COMBC(_u17660, tc_fun(_u17663, _u17659), tc_fun(_u17663, tc_prod(_u17658, _u17659))), hAPP(hAPP(c_COMBB(tc_fun(_u17659, tc_prod(_u17658, _u17659)), tc_fun(tc_fun(_u17663, _u17659), tc_fun(_u17663, tc_prod(_u17658, _u17659))), _u17660), c_COMBB(_u17659, tc_prod(_u17658, _u17659), _u17663)), hAPP(hAPP(c_COMBB(_u17658, tc_fun(_u17659, tc_prod(_u17658, _u17659)), _u17660), c_Product__Type_OPair(_u17658, _u17659)), _u17661))), _u17664))), hAPP(hAPP(c_List_Ozip(_u17660, _u17663), _u17662), _u17665))) )).
% 13.06/13.33 cnf(matrix-7234, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17666, _u17667), hAPP(hAPP(c_List_Omap(_u17668, _u17666), _u17669), _u17670)), _u17671) = hAPP(hAPP(c_List_Omap(tc_prod(_u17668, _u17667), tc_prod(_u17666, _u17667)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17668, _u17667, tc_prod(_u17666, _u17667)), hAPP(hAPP(c_COMBB(_u17666, tc_fun(_u17667, tc_prod(_u17666, _u17667)), _u17668), c_Product__Type_OPair(_u17666, _u17667)), _u17669))), hAPP(hAPP(c_List_Ozip(_u17668, _u17667), _u17670), _u17671))) )).
% 13.06/13.33 cnf(matrix-7235, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17672, _u17673), _u17674), hAPP(hAPP(c_List_Omap(_u17675, _u17673), _u17676), _u17677)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17672, _u17675), tc_prod(_u17672, _u17673)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17672, _u17675, tc_prod(_u17672, _u17673)), hAPP(hAPP(c_COMBC(_u17672, tc_fun(_u17675, _u17673), tc_fun(_u17675, tc_prod(_u17672, _u17673))), hAPP(hAPP(c_COMBB(tc_fun(_u17673, tc_prod(_u17672, _u17673)), tc_fun(tc_fun(_u17675, _u17673), tc_fun(_u17675, tc_prod(_u17672, _u17673))), _u17672), c_COMBB(_u17673, tc_prod(_u17672, _u17673), _u17675)), c_Product__Type_OPair(_u17672, _u17673))), _u17676))), hAPP(hAPP(c_List_Ozip(_u17672, _u17675), _u17674), _u17677))) )).
% 13.06/13.33 cnf(matrix-7236, plain, ( ~class_Orderings_Olinorder(_u17678) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17678), _u17679)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17678, hAPP(hAPP(c_Set_Oinsert(_u17678), _u17680), _u17679)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17678, _u17678, c_COMBI(_u17678)), _u17680), c_List_Olinorder__class_Osorted__list__of__set(_u17678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17678, tc_HOL_Obool)), _u17679), hAPP(hAPP(c_Set_Oinsert(_u17678), _u17680), c_Orderings_Obot__class_Obot(tc_fun(_u17678, tc_HOL_Obool))))))) )).
% 13.06/13.33 cnf(matrix-7237, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17681)), _u17682) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), _u17684)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17681)), _u17685) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), _u17684)) | hBOOL(hAPP(hAPP(c_member(_u17683), _u17686), hAPP(c_List_Oset(_u17683), _u17684))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17683, tc_Option_Ooption(_u17681)), c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17682))), _u17686), hAPP(c_Option_Ooption_OSome(_u17681), _u17687)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17683, tc_Option_Ooption(_u17681)), c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17685))), _u17686), hAPP(c_Option_Ooption_OSome(_u17681), _u17688))) | ( c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17682)) = c_Map_Omap__of(_u17683, _u17681, hAPP(hAPP(c_List_Ozip(_u17683, _u17681), _u17684), _u17685))) )).
% 13.06/13.33 cnf(matrix-7238, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u17689, _u17690))), hAPP(hAPP(c_List_Ozip(_u17689, _u17690), _u17691), _u17692)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17689)), _u17691)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17690)), _u17692))) )).
% 13.06/13.33 cnf(matrix-7239, plain, ( ~class_Orderings_Olinorder(_u17693) | ( hAPP(c_List_Oset(_u17694), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17694, _u17693, _u17695), _u17696), _u17697)) = hAPP(hAPP(c_Set_Oinsert(_u17694), _u17696), hAPP(c_List_Oset(_u17694), _u17697))) )).
% 13.06/13.33 cnf(matrix-7240, plain, ( ( _u17699 != _u17700) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17698)), _u17699) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17698)), _u17700)) )).
% 13.06/13.33 cnf(matrix-7241, plain, ( ~class_Orderings_Olinorder(_u17701) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17702)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17702, _u17701, _u17703), _u17704), _u17705)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17702)), _u17705))) )).
% 13.06/13.33 cnf(matrix-7242, plain, ( ~class_Orderings_Olinorder(_u17706) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17707), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17708), _u17709)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17708), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17706, _u17706, c_COMBI(_u17706)), _u17707), _u17709))) )).
% 13.06/13.33 cnf(matrix-7243, plain, ( ~class_Orderings_Olinorder(_u17710) | ( hAPP(_u17711, _u17712) = hAPP(_u17711, _u17713)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17713), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17712), _u17715)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17712), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17714, _u17710, _u17711), _u17713), _u17715))) )).
% 13.06/13.33 cnf(matrix-7244, plain, ( ~class_Orderings_Olinorder(_u17716) | c_Finite__Set_Ofun__left__comm(_u17716, tc_List_Olist(_u17716), c_List_Olinorder__class_Oinsort__key(_u17716, _u17716, c_COMBI(_u17716))) )).
% 13.06/13.33 cnf(matrix-7245, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17717), tc_List_Olist(_u17717))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17717), tc_List_Olist(_u17717)), _u17718), _u17719)), hAPP(c_List_Olexn(_u17717, _u17720), _u17721))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17717)), _u17718) = _u17721) )).
% 13.06/13.33 cnf(matrix-7246, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17717), tc_List_Olist(_u17717))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17717), tc_List_Olist(_u17717)), _u17718), _u17719)), hAPP(c_List_Olexn(_u17717, _u17720), _u17721))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17717)), _u17719) = _u17721) )).
% 13.06/13.33 cnf(matrix-7247, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17722)), hAPP(hAPP(c_List_Omap(_u17723, _u17722), _u17724), _u17725)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17723)), _u17725)) )).
% 13.06/13.33 cnf(matrix-7248, plain, ( ( hAPP(hAPP(c_List_Omap(_u17726, _u17727), _u17728), _u17729) != hAPP(hAPP(c_List_Omap(_u17730, _u17727), _u17731), _u17732)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17726)), _u17729) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17730)), _u17732)) )).
% 13.06/13.33 cnf(matrix-7249, plain, ( ~class_Orderings_Olinorder(_u17733) | ( c_List_Oremove1(_u17733, _u17734, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17733, _u17733, c_COMBI(_u17733)), _u17734), _u17735)) = _u17735) )).
% 13.06/13.33 cnf(matrix-7250, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u17736), hAPP(c_List_Oset(_u17736), _u17737))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17736)), _u17737))) )).
% 13.06/13.33 cnf(matrix-7251, plain, ( ( hAPP(c_Finite__Set_Ocard(_u17738), hAPP(c_List_Oset(_u17738), _u17739)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17739)) | hBOOL(hAPP(c_List_Odistinct(_u17738), _u17739)) )).
% 13.06/13.33 cnf(matrix-7252, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17740), _u17741)) | ( hAPP(c_Finite__Set_Ocard(_u17740), hAPP(c_List_Oset(_u17740), _u17741)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17740)), _u17741)) )).
% 13.06/13.33 cnf(matrix-7253, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17742)), _u17743) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17744)), _u17745)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17742)), _u17746) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17744)), _u17745)) | ~hBOOL(hAPP(c_List_Odistinct(_u17744), _u17745)) | ( c_Map_Omap__of(_u17744, _u17742, hAPP(hAPP(c_List_Ozip(_u17744, _u17742), _u17745), _u17743)) != c_Map_Omap__of(_u17744, _u17742, hAPP(hAPP(c_List_Ozip(_u17744, _u17742), _u17745), _u17746))) | ( _u17743 = _u17746) )).
% 13.06/13.33 cnf(matrix-7254, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17747)), _u17748) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17749)), _u17750)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17747, _u17749), _u17747), c_Product__Type_Ofst(_u17747, _u17749)), hAPP(hAPP(c_List_Ozip(_u17747, _u17749), _u17748), _u17750)) = _u17748) )).
% 13.06/13.33 cnf(matrix-7255, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)), _u17752) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)), _u17754)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17751, _u17753), _u17753), c_Product__Type_Osnd(_u17751, _u17753)), hAPP(hAPP(c_List_Ozip(_u17751, _u17753), _u17752), _u17754)) = _u17754) )).
% 13.06/13.33 cnf(matrix-7256, plain, ( ~class_Orderings_Olinorder(_u17755) | ~hBOOL(hAPP(c_List_Odistinct(_u17756), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17756, _u17755, _u17757), _u17758), _u17759))) | ~hBOOL(hAPP(hAPP(c_member(_u17756), _u17758), hAPP(c_List_Oset(_u17756), _u17759))) )).
% 13.06/13.33 cnf(matrix-7257, plain, ( ~class_Orderings_Olinorder(_u17755) | ~hBOOL(hAPP(c_List_Odistinct(_u17756), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17756, _u17755, _u17757), _u17758), _u17759))) | hBOOL(hAPP(c_List_Odistinct(_u17756), _u17759)) )).
% 13.06/13.33 cnf(matrix-7258, plain, ( ~class_Orderings_Olinorder(_u17755) | hBOOL(hAPP(hAPP(c_member(_u17756), _u17758), hAPP(c_List_Oset(_u17756), _u17759))) | ~hBOOL(hAPP(c_List_Odistinct(_u17756), _u17759)) | hBOOL(hAPP(c_List_Odistinct(_u17756), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17756, _u17755, _u17757), _u17758), _u17759))) )).
% 13.06/13.33 cnf(matrix-7259, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17760), _u17761), hAPP(c_List_Oset(_u17760), _u17762))) | 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(_u17760)), _u17762))) )).
% 13.06/13.33 cnf(matrix-7260, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17764) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17766)) | ( hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17764), _u17766) != _u17767) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17763), c_Product__Type_Ofst(_u17763, _u17765)), _u17767) = _u17764) )).
% 13.06/13.33 cnf(matrix-7261, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17764) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17766)) | ( hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17764), _u17766) != _u17767) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17765), c_Product__Type_Osnd(_u17763, _u17765)), _u17767) = _u17766) )).
% 13.06/13.33 cnf(matrix-7262, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17764) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17766)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17763), c_Product__Type_Ofst(_u17763, _u17765)), _u17767) != _u17764) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17763, _u17765), _u17765), c_Product__Type_Osnd(_u17763, _u17765)), _u17767) != _u17766) | ( hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17764), _u17766) = _u17767) )).
% 13.06/13.33 cnf(matrix-7263, plain, ( ( c_List_Olenlex(_u17768, _u17769) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17768), tc_List_Olist(_u17768), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBS(tc_List_Olist(_u17768), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17768)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17768)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17768))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17768)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBS(tc_List_Olist(_u17768), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u17768)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17768)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17768), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17768))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17768)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17768)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17768), tc_HOL_Obool)), tc_List_Olist(_u17768)), c_COMBC(tc_List_Olist(_u17768), tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17768), tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768))), tc_fun(tc_List_Olist(_u17768), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u17768)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17768)), c_member(tc_prod(tc_List_Olist(_u17768), tc_List_Olist(_u17768))))), c_Product__Type_OPair(tc_List_Olist(_u17768), tc_List_Olist(_u17768))))), c_List_Olex(_u17768, _u17769))))))) )).
% 13.06/13.33 cnf(matrix-7264, plain, ( ( c_List_Olenlex(_u17770, _u17771) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u17770)), tc_List_Olist(_u17770)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u17770), c_Wellfounded_Oless__than, c_List_Olex(_u17770, _u17771))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17770), tc_List_Olist(_u17770), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17770))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u17770), tc_prod(tc_Nat_Onat, tc_List_Olist(_u17770))), tc_List_Olist(_u17770)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u17770))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17770)))), c_COMBI(tc_List_Olist(_u17770))))) )).
% 13.06/13.33 cnf(matrix-7265, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17772), _u17773)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17772)), hAPP(c_Set_OCollect(tc_List_Olist(_u17772)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17772), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17772)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17772), tc_fun(_u17772, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17772, tc_HOL_Obool), tc_fun(tc_fun(_u17772, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17772)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17772, tc_HOL_Obool))), c_List_Oset(_u17772))), _u17773))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17772), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17772)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17772)))), _u17774))))) )).
% 13.06/13.33 cnf(matrix-7266, plain, ( ( _u17780 != _u17782) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17784)), _u17780) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17784)), _u17782)) )).
% 13.06/13.33 cnf(matrix-7267, plain, ( ( _u17780 != _u17782) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17784, _u17784)), _u17775), hAPP(c_List_Oset(tc_prod(_u17784, _u17784)), hAPP(hAPP(c_List_Ozip(_u17784, _u17784), _u17780), _u17782)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17784, _u17784, tc_HOL_Obool), c_fequal), _u17775)) )).
% 13.06/13.33 cnf(matrix-7268, plain, ( ( _u17781 = _u17783) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17781) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17783)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17785, _u17785)), skolem453(_u17785, _u17783, _u17781)), hAPP(c_List_Oset(tc_prod(_u17785, _u17785)), hAPP(hAPP(c_List_Ozip(_u17785, _u17785), _u17781), _u17783)))) )).
% 13.06/13.33 cnf(matrix-7269, plain, ( ( _u17781 = _u17783) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17781) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17785)), _u17783)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17785, _u17785, tc_HOL_Obool), c_fequal), skolem453(_u17785, _u17783, _u17781))) )).
% 13.06/13.33 cnf(matrix-7270, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17786)), _u17787) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17788)), _u17789)) | ( hAPP(c_Map_Omap__of(_u17786, _u17788, hAPP(hAPP(c_List_Ozip(_u17786, _u17788), _u17787), _u17789)), _u17790) != c_Option_Ooption_ONone(_u17788)) | ~hBOOL(hAPP(hAPP(c_member(_u17786), _u17790), hAPP(c_List_Oset(_u17786), _u17787))) )).
% 13.06/13.33 cnf(matrix-7271, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17786)), _u17787) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17788)), _u17789)) | hBOOL(hAPP(hAPP(c_member(_u17786), _u17790), hAPP(c_List_Oset(_u17786), _u17787))) | ( hAPP(c_Map_Omap__of(_u17786, _u17788, hAPP(hAPP(c_List_Ozip(_u17786, _u17788), _u17787), _u17789)), _u17790) = c_Option_Ooption_ONone(_u17788)) )).
% 13.06/13.33 cnf(matrix-7272, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17793)), _u17794) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17795)), _u17796)) | ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17797), hAPP(c_List_Oset(_u17793), _u17794))) | ( hAPP(c_Map_Omap__of(_u17793, _u17795, hAPP(hAPP(c_List_Ozip(_u17793, _u17795), _u17794), _u17796)), _u17797) = hAPP(c_Option_Ooption_OSome(_u17795), skolem454(_u17797, _u17796, _u17795, _u17794, _u17793))) )).
% 13.06/13.33 cnf(matrix-7273, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17793)), _u17794) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17795)), _u17796)) | ( hAPP(c_Map_Omap__of(_u17793, _u17795, hAPP(hAPP(c_List_Ozip(_u17793, _u17795), _u17794), _u17796)), _u17797) != hAPP(c_Option_Ooption_OSome(_u17795), _u17792)) | hBOOL(hAPP(hAPP(c_member(_u17793), _u17797), hAPP(c_List_Oset(_u17793), _u17794))) )).
% 13.06/13.33 cnf(matrix-7274, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17801), _u17803), hAPP(c_List_Oset(_u17801), _u17805))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17801)), c_List_Oremove1(_u17801, _u17803, _u17805)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17801)), _u17805)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.33 cnf(matrix-7275, plain, ( hBOOL(hAPP(hAPP(c_member(_u17802), _u17804), hAPP(c_List_Oset(_u17802), _u17806))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17802)), c_List_Oremove1(_u17802, _u17804, _u17806)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17802)), _u17806)) )).
% 13.06/13.33 cnf(matrix-7276, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17807)), _u17808) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17809)), _u17810)) | ~hBOOL(hAPP(c_List_Odistinct(_u17807), _u17808)) | ( c_Map_Odom(_u17807, _u17809, c_Map_Omap__of(_u17807, _u17809, hAPP(hAPP(c_List_Ozip(_u17807, _u17809), _u17808), _u17810))) = hAPP(c_List_Oset(_u17807), _u17808)) )).
% 13.06/13.33 cnf(matrix-7277, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17811), _u17812)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u17811)), hAPP(c_Set_OCollect(tc_List_Olist(_u17811)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17811), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17811)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17811), tc_fun(_u17811, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17811, tc_HOL_Obool), tc_fun(tc_fun(_u17811, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17811)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17811, tc_HOL_Obool))), c_List_Oset(_u17811))), _u17812))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17811), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17811)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17811)))), _u17813))))) )).
% 13.06/13.33 cnf(matrix-7278, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17816), _u17818)) | ( c_Nitpick_Ocard_H(_u17816, _u17818) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17816)), c_Hilbert__Choice_OEps(tc_List_Olist(_u17816), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17816), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17816)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17816), tc_fun(_u17816, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17816, tc_HOL_Obool), tc_fun(tc_fun(_u17816, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17816)), c_fequal), c_List_Oset(_u17816))), _u17818))), c_List_Odistinct(_u17816))))) )).
% 13.06/13.33 cnf(matrix-7279, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u17817), _u17819)) | ( c_Nitpick_Ocard_H(_u17817, _u17819) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-7280, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17826), tc_List_Olist(_u17826))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17826), tc_List_Olist(_u17826)), _u17828), _u17830)), c_List_Olistrel(_u17826, _u17832))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17826)), _u17828) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17826)), _u17830)) )).
% 13.06/13.33 cnf(matrix-7281, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17826), tc_List_Olist(_u17826))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17826), tc_List_Olist(_u17826)), _u17828), _u17830)), c_List_Olistrel(_u17826, _u17832))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17826, _u17826)), _u17820), hAPP(c_List_Oset(tc_prod(_u17826, _u17826)), hAPP(hAPP(c_List_Ozip(_u17826, _u17826), _u17828), _u17830)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17826, _u17826, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17826, tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_fun(_u17826, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17826, tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_fun(_u17826, tc_HOL_Obool)), _u17826), c_COMBC(_u17826, tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17826, tc_prod(_u17826, _u17826)), tc_fun(_u17826, tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool)), _u17826), hAPP(c_COMBB(tc_prod(_u17826, _u17826), tc_fun(tc_fun(tc_prod(_u17826, _u17826), tc_HOL_Obool), tc_HOL_Obool), _u17826), c_member(tc_prod(_u17826, _u17826)))), c_Product__Type_OPair(_u17826, _u17826)))), _u17832)), _u17820)) )).
% 13.06/13.33 cnf(matrix-7282, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17827), tc_List_Olist(_u17827))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17827), tc_List_Olist(_u17827)), _u17829), _u17831)), c_List_Olistrel(_u17827, _u17833))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17829) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17831)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17827, _u17827)), skolem455(_u17833, _u17831, _u17829, _u17827)), hAPP(c_List_Oset(tc_prod(_u17827, _u17827)), hAPP(hAPP(c_List_Ozip(_u17827, _u17827), _u17829), _u17831)))) )).
% 13.06/13.33 cnf(matrix-7283, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17827), tc_List_Olist(_u17827))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17827), tc_List_Olist(_u17827)), _u17829), _u17831)), c_List_Olistrel(_u17827, _u17833))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17829) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17827)), _u17831)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17827, _u17827, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u17827, tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_fun(_u17827, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17827, tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_fun(_u17827, tc_HOL_Obool)), _u17827), c_COMBC(_u17827, tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17827, tc_prod(_u17827, _u17827)), tc_fun(_u17827, tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool)), _u17827), hAPP(c_COMBB(tc_prod(_u17827, _u17827), tc_fun(tc_fun(tc_prod(_u17827, _u17827), tc_HOL_Obool), tc_HOL_Obool), _u17827), c_member(tc_prod(_u17827, _u17827)))), c_Product__Type_OPair(_u17827, _u17827)))), _u17833)), skolem455(_u17833, _u17831, _u17829, _u17827))) )).
% 13.06/13.33 cnf(matrix-7284, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17834), tc_List_Olist(_u17834))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17834), tc_List_Olist(_u17834)), _u17835), _u17835)), c_List_Olistrel(_u17834, c_Transitive__Closure_Ortrancl(_u17834, _u17836)))) )).
% 13.06/13.33 cnf(matrix-7285, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17837), tc_List_Olist(_u17837))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17837), tc_List_Olist(_u17837)), _u17838), _u17839)), c_List_Olistrel(_u17837, _u17840))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17837)), _u17838) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17837)), _u17839)) )).
% 13.06/13.33 cnf(matrix-7286, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17841), tc_List_Olist(_u17841))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17841), tc_List_Olist(_u17841)), _u17842), _u17843)), c_List_Olistrel(_u17841, c_Transitive__Closure_Ortrancl(_u17841, _u17844)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17841), tc_List_Olist(_u17841))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17841), tc_List_Olist(_u17841)), _u17843), _u17845)), c_List_Olistrel(_u17841, c_Transitive__Closure_Ortrancl(_u17841, _u17844)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17841), tc_List_Olist(_u17841))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17841), tc_List_Olist(_u17841)), _u17842), _u17845)), c_List_Olistrel(_u17841, c_Transitive__Closure_Ortrancl(_u17841, _u17844)))) )).
% 13.06/13.33 cnf(matrix-7287, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u17846, _u17846), tc_HOL_Obool)), _u17847), _u17848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u17846), tc_List_Olist(_u17846)), tc_HOL_Obool)), c_List_Olistrel(_u17846, _u17847)), c_List_Olistrel(_u17846, _u17848))) )).
% 13.06/13.33 cnf(matrix-7288, plain, ( ~c_List_Olistrelp(_u17853, hAPP(hAPP(c_COMBC(_u17853, tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_fun(_u17853, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17853, tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_fun(_u17853, tc_HOL_Obool)), _u17853), c_COMBC(_u17853, tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17853, tc_prod(_u17853, _u17853)), tc_fun(_u17853, tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool)), _u17853), hAPP(c_COMBB(tc_prod(_u17853, _u17853), tc_fun(tc_fun(tc_prod(_u17853, _u17853), tc_HOL_Obool), tc_HOL_Obool), _u17853), c_member(tc_prod(_u17853, _u17853)))), c_Product__Type_OPair(_u17853, _u17853)))), _u17855), _u17857, _u17859) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17853), tc_List_Olist(_u17853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17853), tc_List_Olist(_u17853)), _u17857), _u17859)), c_List_Olistrel(_u17853, _u17855))) )).
% 13.06/13.33 cnf(matrix-7289, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17854), tc_List_Olist(_u17854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17854), tc_List_Olist(_u17854)), _u17858), _u17860)), c_List_Olistrel(_u17854, _u17856))) | c_List_Olistrelp(_u17854, hAPP(hAPP(c_COMBC(_u17854, tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_fun(_u17854, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17854, tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_fun(_u17854, tc_HOL_Obool)), _u17854), c_COMBC(_u17854, tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17854, tc_prod(_u17854, _u17854)), tc_fun(_u17854, tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool)), _u17854), hAPP(c_COMBB(tc_prod(_u17854, _u17854), tc_fun(tc_fun(tc_prod(_u17854, _u17854), tc_HOL_Obool), tc_HOL_Obool), _u17854), c_member(tc_prod(_u17854, _u17854)))), c_Product__Type_OPair(_u17854, _u17854)))), _u17856), _u17858, _u17860) )).
% 13.06/13.33 cnf(matrix-7290, plain, ( ( hAPP(c_List_Olexn(_u17861, _u17862), hAPP(c_Nat_OSuc, _u17863)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u17861, tc_List_Olist(_u17861)), tc_prod(_u17861, tc_List_Olist(_u17861))), tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861)), c_Product__Type_Omap__pair(tc_prod(_u17861, tc_List_Olist(_u17861)), tc_List_Olist(_u17861), tc_prod(_u17861, tc_List_Olist(_u17861)), tc_List_Olist(_u17861), hAPP(c_Product__Type_Oprod_Oprod__case(_u17861, tc_List_Olist(_u17861), tc_List_Olist(_u17861)), c_List_Olist_OCons(_u17861)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17861, tc_List_Olist(_u17861), tc_List_Olist(_u17861)), c_List_Olist_OCons(_u17861)))), c_Wellfounded_Olex__prod(_u17861, tc_List_Olist(_u17861), _u17862, hAPP(c_List_Olexn(_u17861, _u17862), _u17863)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u17861), tc_List_Olist(_u17861))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17861), tc_List_Olist(_u17861), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool), tc_fun(tc_List_Olist(_u17861), tc_HOL_Obool)), tc_List_Olist(_u17861)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17861))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), hAPP(c_Nat_OSuc, _u17863))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17861), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17861)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17861)))), hAPP(c_Nat_OSuc, _u17863))))))) )).
% 13.06/13.33 cnf(matrix-7291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17864)), _u17865)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17864)), _u17866))) | ( _u17865 != hAPP(hAPP(c_List_Olist_OCons(_u17864), _u17867), _u17866)) )).
% 13.06/13.33 cnf(matrix-7292, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17868), _u17869), hAPP(c_List_Oset(_u17868), hAPP(hAPP(c_List_Olist_OCons(_u17868), _u17870), _u17871)))) | ( _u17869 = _u17870) | hBOOL(hAPP(hAPP(c_member(_u17868), _u17869), hAPP(c_List_Oset(_u17868), _u17871))) )).
% 13.06/13.33 cnf(matrix-7293, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17872, _u17873), hAPP(hAPP(c_List_Olist_OCons(_u17872), _u17874), _u17875)), hAPP(hAPP(c_List_Olist_OCons(_u17873), _u17876), _u17877)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17872, _u17873)), hAPP(hAPP(c_Product__Type_OPair(_u17872, _u17873), _u17874), _u17876)), hAPP(hAPP(c_List_Ozip(_u17872, _u17873), _u17875), _u17877))) )).
% 13.06/13.33 cnf(matrix-7294, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17878, tc_HOL_Obool)), hAPP(c_List_Oset(_u17878), _u17879)), hAPP(c_List_Oset(_u17878), hAPP(hAPP(c_List_Olist_OCons(_u17878), _u17880), _u17879)))) )).
% 13.06/13.33 cnf(matrix-7295, plain, ( ( hAPP(c_List_Oset(_u17881), hAPP(hAPP(c_List_Olist_OCons(_u17881), _u17882), _u17883)) = hAPP(hAPP(c_Set_Oinsert(_u17881), _u17882), hAPP(c_List_Oset(_u17881), _u17883))) )).
% 13.06/13.33 cnf(matrix-7296, plain, ( ( c_List_Ofoldr(_u17884, _u17885, _u17886, hAPP(hAPP(c_List_Olist_OCons(_u17884), _u17887), _u17888), _u17889) = hAPP(hAPP(_u17886, _u17887), c_List_Ofoldr(_u17884, _u17885, _u17886, _u17888, _u17889))) )).
% 13.06/13.33 cnf(matrix-7297, plain, ( ( _u17890 != hAPP(hAPP(c_List_Olist_OCons(_u17891), _u17892), _u17890)) )).
% 13.06/13.33 cnf(matrix-7298, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17893), _u17894), _u17895) != _u17895) )).
% 13.06/13.33 cnf(matrix-7299, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17903), _u17905) != hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17907), _u17909)) | ( _u17903 = _u17907) )).
% 13.06/13.33 cnf(matrix-7300, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17903), _u17905) != hAPP(hAPP(c_List_Olist_OCons(_u17901), _u17907), _u17909)) | ( _u17905 = _u17909) )).
% 13.06/13.33 cnf(matrix-7301, plain, ( ( _u17904 != _u17908) | ( _u17906 != _u17910) | ( hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17904), _u17906) = hAPP(hAPP(c_List_Olist_OCons(_u17902), _u17908), _u17910)) )).
% 13.06/13.33 cnf(matrix-7302, plain, ( ~c_List_Olistrelp(_u17917, _u17919, hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17921), _u17923), hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17925), _u17927)) | hBOOL(hAPP(hAPP(_u17919, _u17921), _u17925)) )).
% 13.06/13.33 cnf(matrix-7303, plain, ( ~c_List_Olistrelp(_u17917, _u17919, hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17921), _u17923), hAPP(hAPP(c_List_Olist_OCons(_u17917), _u17925), _u17927)) | c_List_Olistrelp(_u17917, _u17919, _u17923, _u17927) )).
% 13.06/13.33 cnf(matrix-7304, plain, ( ~hBOOL(hAPP(hAPP(_u17920, _u17922), _u17926)) | ~c_List_Olistrelp(_u17918, _u17920, _u17924, _u17928) | c_List_Olistrelp(_u17918, _u17920, hAPP(hAPP(c_List_Olist_OCons(_u17918), _u17922), _u17924), hAPP(hAPP(c_List_Olist_OCons(_u17918), _u17926), _u17928)) )).
% 13.06/13.33 cnf(matrix-7305, plain, ( ~hBOOL(hAPP(hAPP(_u17929, _u17930), _u17931)) | ~c_List_Olistrelp(_u17932, _u17929, _u17933, _u17934) | c_List_Olistrelp(_u17932, _u17929, hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17930), _u17933), hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17931), _u17934)) )).
% 13.06/13.33 cnf(matrix-7306, plain, ( ( hAPP(hAPP(c_List_Omap(_u17935, _u17936), _u17937), hAPP(hAPP(c_List_Olist_OCons(_u17935), _u17938), _u17939)) = hAPP(hAPP(c_List_Olist_OCons(_u17936), hAPP(_u17937, _u17938)), hAPP(hAPP(c_List_Omap(_u17935, _u17936), _u17937), _u17939))) )).
% 13.06/13.33 cnf(matrix-7307, plain, ( ( _u17944 != _u17946) | ( c_List_Oremove1(_u17948, _u17944, hAPP(hAPP(c_List_Olist_OCons(_u17948), _u17946), _u17950)) = _u17950) )).
% 13.06/13.33 cnf(matrix-7308, plain, ( ( _u17945 = _u17947) | ( c_List_Oremove1(_u17949, _u17945, hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), _u17951)) = hAPP(hAPP(c_List_Olist_OCons(_u17949), _u17947), c_List_Oremove1(_u17949, _u17945, _u17951))) )).
% 13.06/13.33 cnf(matrix-7309, plain, ( ~class_Orderings_Olinorder(_u17952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17952), hAPP(_u17953, _u17954)), hAPP(_u17953, _u17955))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17956, _u17952, _u17953), _u17954), hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), _u17957)) = hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17954), hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), _u17957))) )).
% 13.06/13.33 cnf(matrix-7310, plain, ( ~class_Orderings_Olinorder(_u17952) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17952), hAPP(_u17953, _u17954)), hAPP(_u17953, _u17955))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17956, _u17952, _u17953), _u17954), hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), _u17957)) = hAPP(hAPP(c_List_Olist_OCons(_u17956), _u17955), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17956, _u17952, _u17953), _u17954), _u17957))) )).
% 13.06/13.33 cnf(matrix-7311, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17961), hAPP(hAPP(c_List_Olist_OCons(_u17961), _u17963), _u17965))) | ~hBOOL(hAPP(hAPP(c_member(_u17961), _u17963), hAPP(c_List_Oset(_u17961), _u17965))) )).
% 13.06/13.33 cnf(matrix-7312, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17961), hAPP(hAPP(c_List_Olist_OCons(_u17961), _u17963), _u17965))) | hBOOL(hAPP(c_List_Odistinct(_u17961), _u17965)) )).
% 13.06/13.33 cnf(matrix-7313, plain, ( hBOOL(hAPP(hAPP(c_member(_u17962), _u17964), hAPP(c_List_Oset(_u17962), _u17966))) | ~hBOOL(hAPP(c_List_Odistinct(_u17962), _u17966)) | hBOOL(hAPP(c_List_Odistinct(_u17962), hAPP(hAPP(c_List_Olist_OCons(_u17962), _u17964), _u17966))) )).
% 13.06/13.33 cnf(matrix-7314, plain, ( ( _u17973 != _u17975) | ( hAPP(c_Map_Omap__of(_u17977, _u17979, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17977, _u17979)), hAPP(hAPP(c_Product__Type_OPair(_u17977, _u17979), _u17973), _u17981)), _u17983)), _u17975) = hAPP(c_Option_Ooption_OSome(_u17979), _u17981)) )).
% 13.06/13.33 cnf(matrix-7315, plain, ( ( _u17974 = _u17976) | ( hAPP(c_Map_Omap__of(_u17978, _u17980, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17978, _u17980)), hAPP(hAPP(c_Product__Type_OPair(_u17978, _u17980), _u17974), _u17982)), _u17984)), _u17976) = hAPP(c_Map_Omap__of(_u17978, _u17980, _u17984), _u17976)) )).
% 13.06/13.33 cnf(matrix-7316, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17985)), hAPP(hAPP(c_List_Olist_OCons(_u17985), _u17986), _u17987)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17985)), _u17987)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.33 cnf(matrix-7317, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17988, _u17988)), hAPP(hAPP(c_Product__Type_OPair(_u17988, _u17988), _u17989), _u17990)), _u17991)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17988), tc_List_Olist(_u17988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17988), tc_List_Olist(_u17988)), _u17992), _u17993)), c_List_Olistrel(_u17988, _u17991))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17988), tc_List_Olist(_u17988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17988), tc_List_Olist(_u17988)), hAPP(hAPP(c_List_Olist_OCons(_u17988), _u17989), _u17992)), hAPP(hAPP(c_List_Olist_OCons(_u17988), _u17990), _u17993))), c_List_Olistrel(_u17988, _u17991))) )).
% 13.06/13.33 cnf(matrix-7318, plain, ( ( c_Map_Omap__of(_u17994, _u17995, hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u17994, _u17995)), _u17996), _u17997)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u17994, tc_Option_Ooption(_u17995)), c_Map_Omap__of(_u17994, _u17995, _u17997)), hAPP(c_Product__Type_Ofst(_u17994, _u17995), _u17996)), hAPP(c_Option_Ooption_OSome(_u17995), hAPP(c_Product__Type_Osnd(_u17994, _u17995), _u17996)))) )).
% 13.06/13.33 cnf(matrix-7319, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18004, _u18004)), hAPP(hAPP(c_Product__Type_OPair(_u18004, _u18004), _u18006), _u18010)), _u18014)) | ( _u18006 = _u18010) )).
% 13.06/13.33 cnf(matrix-7320, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18004, _u18004)), hAPP(hAPP(c_Product__Type_OPair(_u18004, _u18004), _u18006), _u18010)), _u18014)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), _u18008), _u18012)), c_List_Olex(_u18004, _u18014))) )).
% 13.06/13.33 cnf(matrix-7321, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18008) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18012)) | ( _u18006 = _u18010) )).
% 13.06/13.33 cnf(matrix-7322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), _u18008)), hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18010), _u18012))), c_List_Olex(_u18004, _u18014))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18008) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18012)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18004), tc_List_Olist(_u18004))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18004), tc_List_Olist(_u18004)), _u18008), _u18012)), c_List_Olex(_u18004, _u18014))) )).
% 13.06/13.33 cnf(matrix-7323, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18005), tc_List_Olist(_u18005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18005), tc_List_Olist(_u18005)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18007), _u18009)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18011), _u18013))), c_List_Olex(_u18005, _u18015))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18005, _u18005)), hAPP(hAPP(c_Product__Type_OPair(_u18005, _u18005), _u18007), _u18011)), _u18015)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), _u18009) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18005)), _u18013)) )).
% 13.06/13.33 cnf(matrix-7324, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18005), tc_List_Olist(_u18005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18005), tc_List_Olist(_u18005)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18007), _u18009)), hAPP(hAPP(c_List_Olist_OCons(_u18005), _u18011), _u18013))), c_List_Olex(_u18005, _u18015))) | ( _u18007 != _u18011) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18005), tc_List_Olist(_u18005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18005), tc_List_Olist(_u18005)), _u18009), _u18013)), c_List_Olex(_u18005, _u18015))) )).
% 13.06/13.33 cnf(matrix-7325, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18016), tc_List_Olist(_u18016), c_List_Olistrel(_u18016, _u18017)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18016)), hAPP(hAPP(c_List_Olist_OCons(_u18016), _u18018), _u18019)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18016), tc_HOL_Obool)))) = c_List_Oset__Cons(_u18016, hAPP(c_Relation_OImage(_u18016, _u18016, _u18017), hAPP(hAPP(c_Set_Oinsert(_u18016), _u18018), c_Orderings_Obot__class_Obot(tc_fun(_u18016, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u18016), tc_List_Olist(_u18016), c_List_Olistrel(_u18016, _u18017)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18016)), _u18019), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18016), tc_HOL_Obool)))))) )).
% 13.06/13.33 cnf(matrix-7326, plain, ( ( c_List_Oset__Cons(_u18020, _u18021, _u18022) = hAPP(c_Set_OCollect(tc_List_Olist(_u18020)), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u18020)), c_HOL_OEx(_u18020)), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_HOL_Obool), tc_List_Olist(_u18020)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_HOL_Obool, _u18020), c_HOL_OEx(tc_List_Olist(_u18020)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18020), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_fun(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_List_Olist(_u18020)), c_COMBS(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u18020, tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_List_Olist(_u18020)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), _u18020), c_COMBS(tc_List_Olist(_u18020), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u18020)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u18020), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18020)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18020), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020))), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020)), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_fun(tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020))), tc_fun(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool))), tc_List_Olist(_u18020)), c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020)), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), _u18020)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18020), tc_List_Olist(_u18020)), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), tc_List_Olist(_u18020)), c_COMBB(tc_List_Olist(_u18020), tc_HOL_Obool, tc_List_Olist(_u18020))), c_fequal))), c_List_Olist_OCons(_u18020)))))), hAPP(hAPP(c_COMBC(_u18020, tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool)), _u18020), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18020))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18020), c_fconj), hAPP(hAPP(c_COMBC(_u18020, tc_fun(_u18020, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18020)), _u18021)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18020), tc_fun(tc_List_Olist(_u18020), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18020))), _u18022))))))) )).
% 13.06/13.33 cnf(matrix-7327, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), _u18026), hAPP(hAPP(c_List_Olist_OCons(_u18025), _u18027), _u18028))), c_List_Olistrel(_u18025, _u18029))) | ( _u18026 = hAPP(hAPP(c_List_Olist_OCons(_u18025), skolem456(_u18029, _u18028, _u18027, _u18026, _u18025)), skolem457(_u18029, _u18028, _u18027, _u18026, _u18025))) )).
% 13.06/13.33 cnf(matrix-7328, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), _u18026), hAPP(hAPP(c_List_Olist_OCons(_u18025), _u18027), _u18028))), c_List_Olistrel(_u18025, _u18029))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18025, _u18025)), hAPP(hAPP(c_Product__Type_OPair(_u18025, _u18025), skolem456(_u18029, _u18028, _u18027, _u18026, _u18025)), _u18027)), _u18029)) )).
% 13.06/13.33 cnf(matrix-7329, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), _u18026), hAPP(hAPP(c_List_Olist_OCons(_u18025), _u18027), _u18028))), c_List_Olistrel(_u18025, _u18029))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18025), tc_List_Olist(_u18025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18025), tc_List_Olist(_u18025)), skolem457(_u18029, _u18028, _u18027, _u18026, _u18025)), _u18028)), c_List_Olistrel(_u18025, _u18029))) )).
% 13.06/13.33 cnf(matrix-7330, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18033), _u18034)), _u18035)), c_List_Olistrel(_u18032, _u18036))) | ( _u18035 = hAPP(hAPP(c_List_Olist_OCons(_u18032), skolem458(_u18036, _u18035, _u18034, _u18033, _u18032)), skolem459(_u18036, _u18035, _u18034, _u18033, _u18032))) )).
% 13.06/13.33 cnf(matrix-7331, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18033), _u18034)), _u18035)), c_List_Olistrel(_u18032, _u18036))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18032, _u18032)), hAPP(hAPP(c_Product__Type_OPair(_u18032, _u18032), _u18033), skolem458(_u18036, _u18035, _u18034, _u18033, _u18032))), _u18036)) )).
% 13.06/13.33 cnf(matrix-7332, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18033), _u18034)), _u18035)), c_List_Olistrel(_u18032, _u18036))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18032), tc_List_Olist(_u18032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18032), tc_List_Olist(_u18032)), _u18034), skolem459(_u18036, _u18035, _u18034, _u18033, _u18032))), c_List_Olistrel(_u18032, _u18036))) )).
% 13.06/13.33 cnf(matrix-7333, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18037)), c_List_Osublist(_u18037, _u18038, _u18039)) = 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(_u18037)), _u18038)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18039))))) )).
% 13.06/13.33 cnf(matrix-7334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18044), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18046), _u18048))) | ( hAPP(c_Random_Opick(_u18046, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18046)), _u18048), _u18050)), _u18044) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18046), _u18048)) )).
% 13.06/13.33 cnf(matrix-7335, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18045), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18047), _u18049))) | ( hAPP(c_Random_Opick(_u18047, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18047)), _u18049), _u18051)), _u18045) = hAPP(c_Random_Opick(_u18047, _u18051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18045), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18047), _u18049)))) )).
% 13.06/13.33 cnf(matrix-7336, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18052), _u18053)) | hBOOL(hAPP(c_List_Odistinct(_u18052), c_List_Osublist(_u18052, _u18053, _u18054))) )).
% 13.06/13.33 cnf(matrix-7337, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18055), _u18056), hAPP(c_List_Oset(_u18055), c_List_Osublist(_u18055, _u18057, _u18058)))) | hBOOL(hAPP(hAPP(c_member(_u18055), _u18056), hAPP(c_List_Oset(_u18055), _u18057))) )).
% 13.06/13.33 cnf(matrix-7338, plain, ( hBOOL(hAPP(hAPP(c_member(_u18059), _u18060), hAPP(c_List_Oset(_u18059), _u18061))) | ~hBOOL(hAPP(hAPP(c_member(_u18059), _u18060), hAPP(c_List_Oset(_u18059), c_List_Osublist(_u18059, _u18061, _u18062)))) )).
% 13.06/13.33 cnf(matrix-7339, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18063, tc_HOL_Obool)), hAPP(c_List_Oset(_u18063), c_List_Osublist(_u18063, _u18064, _u18065))), hAPP(c_List_Oset(_u18063), _u18064))) )).
% 13.06/13.33 cnf(matrix-7340, plain, ( ( c_Random_Oselect__weight(_u18066, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18066)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18066), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u18067)), _u18068)) = c_Random_Oselect__weight(_u18066, _u18068)) )).
% 13.06/13.33 cnf(matrix-7341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u18069), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18070), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18070)), _u18071)))) | hBOOL(hAPP(hAPP(c_member(_u18070), hAPP(c_Random_Opick(_u18070, _u18071), _u18069)), hAPP(c_List_Oset(_u18070), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18070), _u18070), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18070)), _u18071)))) )).
% 13.06/13.33 cnf(matrix-7342, plain, ( ~class_Groups_Omonoid__add(_u18072) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18072), hAPP(hAPP(c_List_Olist_OCons(_u18072), _u18073), _u18074)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18072), _u18073), hAPP(c_List_Omonoid__add__class_Olistsum(_u18072), _u18074))) )).
% 13.06/13.33 cnf(matrix-7343, plain, ( ~class_Groups_Oab__group__add(_u18075) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18075), hAPP(hAPP(c_List_Omap(_u18076, _u18075), hAPP(hAPP(c_COMBS(_u18076, _u18075, _u18075), hAPP(hAPP(c_COMBB(_u18075, tc_fun(_u18075, _u18075), _u18076), c_Groups_Ominus__class_Ominus(_u18075)), _u18077)), _u18078)), _u18079)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u18075), hAPP(c_List_Omonoid__add__class_Olistsum(_u18075), hAPP(hAPP(c_List_Omap(_u18076, _u18075), _u18077), _u18079))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18075), hAPP(hAPP(c_List_Omap(_u18076, _u18075), _u18078), _u18079)))) )).
% 13.06/13.33 cnf(matrix-7344, plain, ( ~class_Groups_Ocomm__monoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), hAPP(hAPP(c_COMBS(_u18081, _u18080, _u18080), hAPP(hAPP(c_COMBB(_u18080, tc_fun(_u18080, _u18080), _u18081), c_Groups_Oplus__class_Oplus(_u18080)), _u18082)), _u18083)), _u18084)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18080), hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18082), _u18084))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18083), _u18084)))) )).
% 13.06/13.33 cnf(matrix-7345, plain, ( ~class_Rings_Osemiring__0(_u18085) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18085), hAPP(hAPP(c_List_Omap(_u18086, _u18085), hAPP(hAPP(c_COMBB(_u18085, _u18085, _u18086), hAPP(c_Groups_Otimes__class_Otimes(_u18085), _u18087)), _u18088)), _u18089)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18085), _u18087), hAPP(c_List_Omonoid__add__class_Olistsum(_u18085), hAPP(hAPP(c_List_Omap(_u18086, _u18085), _u18088), _u18089)))) )).
% 13.06/13.33 cnf(matrix-7346, plain, ( ~class_Rings_Osemiring__0(_u18090) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18090), hAPP(hAPP(c_List_Omap(_u18091, _u18090), hAPP(hAPP(c_COMBC(_u18091, _u18090, _u18090), hAPP(hAPP(c_COMBB(_u18090, tc_fun(_u18090, _u18090), _u18091), c_Groups_Otimes__class_Otimes(_u18090)), _u18092)), _u18093)), _u18094)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18090), hAPP(c_List_Omonoid__add__class_Olistsum(_u18090), hAPP(hAPP(c_List_Omap(_u18091, _u18090), _u18092), _u18094))), _u18093)) )).
% 13.06/13.33 cnf(matrix-7347, plain, ( ~class_Groups_Omonoid__add(_u18095) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18095), hAPP(hAPP(c_List_Omap(_u18096, _u18095), hAPP(c_COMBK(_u18095, _u18096), c_Groups_Ozero__class_Ozero(_u18095))), _u18097)) = c_Groups_Ozero__class_Ozero(_u18095)) )).
% 13.06/13.33 cnf(matrix-7348, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u18098) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18098), hAPP(c_Groups_Oabs__class_Oabs(_u18098), hAPP(c_List_Omonoid__add__class_Olistsum(_u18098), _u18099))), hAPP(c_List_Omonoid__add__class_Olistsum(_u18098), hAPP(hAPP(c_List_Omap(_u18098, _u18098), c_Groups_Oabs__class_Oabs(_u18098)), _u18099)))) )).
% 13.06/13.33 cnf(matrix-7349, plain, ( ~class_Groups_Oab__group__add(_u18100) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u18100), hAPP(c_List_Omonoid__add__class_Olistsum(_u18100), hAPP(hAPP(c_List_Omap(_u18101, _u18100), _u18102), _u18103))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18100), hAPP(hAPP(c_List_Omap(_u18101, _u18100), hAPP(c_Fun_Ocomp(_u18100, _u18100, _u18101, c_Groups_Ouminus__class_Ouminus(_u18100)), _u18102)), _u18103))) )).
% 13.06/13.33 cnf(matrix-7350, plain, ( ~class_Groups_Ocomm__monoid__add(_u18104) | ~hBOOL(hAPP(c_List_Odistinct(_u18104), _u18105)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18104), _u18105) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18104, _u18104), c_COMBI(_u18104)), hAPP(c_List_Oset(_u18104), _u18105))) )).
% 13.06/13.33 cnf(matrix-7351, plain, ( ( c_Random_Oselect__weight(_u18106, _u18107) = 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(_u18106, 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, _u18106), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18106)), _u18107)))), hAPP(hAPP(c_COMBB(_u18106, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18106, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18106, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u18106, _u18107)))) )).
% 13.06/13.33 cnf(matrix-7352, plain, ( ~class_Groups_Ocomm__monoid__add(_u18108) | ~hBOOL(hAPP(c_List_Odistinct(_u18109), _u18110)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18108), hAPP(hAPP(c_List_Omap(_u18109, _u18108), _u18111), _u18110)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18109, _u18108), _u18111), hAPP(c_List_Oset(_u18109), _u18110))) )).
% 13.06/13.33 cnf(matrix-7353, plain, ( ~class_Groups_Ocomm__monoid__add(_u18112) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18112), _u18113), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18114, _u18115))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18112), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18112), _u18113), c_List_Oupto(_u18114, _u18115)))) )).
% 13.06/13.33 cnf(matrix-7354, plain, ( ~class_Groups_Ocomm__monoid__add(_u18116) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18116), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u18116), _u18117), c_List_Oupto(_u18118, _u18119))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u18116), _u18117), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u18118, _u18119)))) )).
% 13.06/13.33 cnf(matrix-7355, plain, ( ~class_Rings_Osemiring__1(_u18120) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18120), hAPP(hAPP(c_List_Omap(_u18121, _u18120), hAPP(c_COMBK(_u18120, _u18121), _u18122)), _u18123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18120), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u18120), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18121)), _u18123))), _u18122)) )).
% 13.06/13.33 cnf(matrix-7356, plain, ( ~class_Groups_Ocomm__monoid__add(_u18124) | ~hBOOL(hAPP(hAPP(c_member(_u18125), _u18126), hAPP(c_List_Oset(_u18125), _u18127))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18124), hAPP(hAPP(c_List_Omap(_u18125, _u18124), _u18128), _u18127)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18124), hAPP(_u18128, _u18126)), hAPP(c_List_Omonoid__add__class_Olistsum(_u18124), hAPP(hAPP(c_List_Omap(_u18125, _u18124), _u18128), c_List_Oremove1(_u18125, _u18126, _u18127))))) )).
% 13.06/13.33 cnf(matrix-7357, 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, _u18129), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u18129)), _u18130)))) | hBOOL(hAPP(hAPP(c_member(_u18129), hAPP(c_Product__Type_Ofst(_u18129, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u18129, _u18130), _u18131))), hAPP(c_List_Oset(_u18129), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18129), _u18129), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u18129)), _u18130)))) )).
% 13.06/13.33 cnf(matrix-7358, plain, ( ~class_Groups_Ocomm__monoid__add(_u18132) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18133), _u18134)) | ( c_Nitpick_Osetsum_H(_u18133, _u18132, _u18135, _u18134) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18132), hAPP(hAPP(c_List_Omap(_u18133, _u18132), _u18135), c_Hilbert__Choice_OEps(tc_List_Olist(_u18133), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18133), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u18133)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18133), tc_fun(_u18133, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u18133, tc_HOL_Obool), tc_fun(tc_fun(_u18133, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u18133)), c_fequal), c_List_Oset(_u18133))), _u18134))), c_List_Odistinct(_u18133)))))) )).
% 13.06/13.33 cnf(matrix-7359, plain, ( ~class_Groups_Ocomm__monoid__add(_u18132) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18133), _u18134)) | ( c_Nitpick_Osetsum_H(_u18133, _u18132, _u18135, _u18134) = c_Groups_Ozero__class_Ozero(_u18132)) )).
% 13.06/13.33 cnf(matrix-7360, plain, ( ~class_Orderings_Olinorder(_u18136) | hBOOL(hAPP(hAPP(c_member(_u18136), hAPP(_u18137, _u18138)), hAPP(c_Set_Oimage(_u18139, _u18136, _u18137), hAPP(c_List_Oset(_u18139), _u18140)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18139, _u18136, _u18137, _u18138, _u18140) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18139, _u18136, _u18137), _u18138), _u18140)) )).
% 13.06/13.33 cnf(matrix-7361, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18144) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u18141), hAPP(c_List_Oset(tc_Nat_Onat), _u18144))) | ( _u18141 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-7362, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18145) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem460(_u18145)), hAPP(c_List_Oset(tc_Nat_Onat), _u18145))) )).
% 13.06/13.33 cnf(matrix-7363, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18145) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem460(_u18145) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-7364, plain, ( ~class_Orderings_Olinorder(_u18146) | ~hBOOL(hAPP(c_List_Odistinct(_u18147), _u18148)) | hBOOL(hAPP(c_List_Odistinct(_u18147), c_List_Olinorder__class_Oinsort__insert__key(_u18147, _u18146, _u18149, _u18150, _u18148))) )).
% 13.06/13.33 cnf(matrix-7365, plain, ( ~class_Orderings_Olinorder(_u18151) | ~hBOOL(hAPP(hAPP(c_member(_u18151), _u18152), hAPP(c_List_Oset(_u18151), _u18153))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18151, _u18151, c_COMBI(_u18151), _u18152, _u18153) = _u18153) )).
% 13.06/13.33 cnf(matrix-7366, plain, ( ~class_Orderings_Olinorder(_u18154) | ( hAPP(c_List_Oset(_u18154), c_List_Olinorder__class_Oinsort__insert__key(_u18154, _u18154, c_COMBI(_u18154), _u18155, _u18156)) = hAPP(hAPP(c_Set_Oinsert(_u18154), _u18155), hAPP(c_List_Oset(_u18154), _u18156))) )).
% 13.06/13.33 cnf(matrix-7367, plain, ( ~class_Orderings_Olinorder(_u18157) | ~hBOOL(hAPP(hAPP(c_member(_u18157), hAPP(_u18158, _u18159)), hAPP(c_Set_Oimage(_u18160, _u18157, _u18158), hAPP(c_List_Oset(_u18160), _u18161)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18160, _u18157, _u18158, _u18159, _u18161) = _u18161) )).
% 13.06/13.33 cnf(matrix-7368, plain, ( ~class_Orderings_Olinorder(_u18162) | hBOOL(hAPP(hAPP(c_member(_u18162), _u18163), hAPP(c_List_Oset(_u18162), _u18164))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u18162, _u18162, c_COMBI(_u18162), _u18163, _u18164) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18162, _u18162, c_COMBI(_u18162)), _u18163), _u18164)) )).
% 13.06/13.33 cnf(matrix-7369, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18171), tc_List_Olist(_u18171))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18171), tc_List_Olist(_u18171)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18173), _u18175)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18177), _u18179))), c_List_Olexord(_u18171, _u18181))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18171, _u18171)), hAPP(hAPP(c_Product__Type_OPair(_u18171, _u18171), _u18173), _u18177)), _u18181)) | ( _u18173 = _u18177) )).
% 13.06/13.33 cnf(matrix-7370, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18171), tc_List_Olist(_u18171))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18171), tc_List_Olist(_u18171)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18173), _u18175)), hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18177), _u18179))), c_List_Olexord(_u18171, _u18181))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18171, _u18171)), hAPP(hAPP(c_Product__Type_OPair(_u18171, _u18171), _u18173), _u18177)), _u18181)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18171), tc_List_Olist(_u18171))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18171), tc_List_Olist(_u18171)), _u18175), _u18179)), c_List_Olexord(_u18171, _u18181))) )).
% 13.06/13.33 cnf(matrix-7371, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18172), tc_List_Olist(_u18172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18172), tc_List_Olist(_u18172)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18174), _u18176)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18178), _u18180))), c_List_Olexord(_u18172, _u18182))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18172, _u18172)), hAPP(hAPP(c_Product__Type_OPair(_u18172, _u18172), _u18174), _u18178)), _u18182)) )).
% 13.06/13.33 cnf(matrix-7372, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18172), tc_List_Olist(_u18172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18172), tc_List_Olist(_u18172)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18174), _u18176)), hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18178), _u18180))), c_List_Olexord(_u18172, _u18182))) | ( _u18174 != _u18178) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18172), tc_List_Olist(_u18172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18172), tc_List_Olist(_u18172)), _u18176), _u18180)), c_List_Olexord(_u18172, _u18182))) )).
% 13.06/13.33 cnf(matrix-7373, plain, ( ( hAPP(c_List_Oset(tc_prod(_u18183, _u18184)), hAPP(hAPP(c_List_Ozip(_u18183, _u18184), _u18185), _u18186)) = hAPP(c_Set_OCollect(tc_prod(_u18183, _u18184)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u18183, _u18184)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18183, _u18184), 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(_u18183, _u18184)), 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(_u18183, _u18184)), 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(_u18183, _u18184), tc_fun(tc_Nat_Onat, tc_prod(_u18183, _u18184)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18183, _u18184), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u18183, _u18184)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u18183, _u18184)), c_COMBB(tc_prod(_u18183, _u18184), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u18184, tc_prod(_u18183, _u18184)), hAPP(hAPP(c_COMBB(_u18183, tc_fun(_u18184, tc_prod(_u18183, _u18184)), tc_Nat_Onat), c_Product__Type_OPair(_u18183, _u18184)), hAPP(c_List_Onth(_u18183), _u18185))), hAPP(c_List_Onth(_u18184), _u18186)))))), 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(_u18183)), _u18185)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18184)), _u18186))))))) )).
% 13.06/13.33 cnf(matrix-7374, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18187), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18188)), _u18189))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18187), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18190)), _u18191))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u18188, _u18190)), hAPP(hAPP(c_List_Ozip(_u18188, _u18190), _u18189), _u18191)), _u18187) = hAPP(hAPP(c_Product__Type_OPair(_u18188, _u18190), hAPP(hAPP(c_List_Onth(_u18188), _u18189), _u18187)), hAPP(hAPP(c_List_Onth(_u18190), _u18191), _u18187))) )).
% 13.06/13.33 cnf(matrix-7375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18192), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18193)), _u18194))) | ( hAPP(hAPP(c_List_Onth(_u18195), hAPP(hAPP(c_List_Omap(_u18193, _u18195), _u18196), _u18194)), _u18192) = hAPP(_u18196, hAPP(hAPP(c_List_Onth(_u18193), _u18194), _u18192))) )).
% 13.06/13.33 cnf(matrix-7376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18197), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18198))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18198), _u18197)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u18198))) )).
% 13.06/13.33 cnf(matrix-7377, plain, ( ( hAPP(hAPP(c_List_Onth(_u18199), hAPP(hAPP(c_List_Olist_OCons(_u18199), _u18200), _u18201)), _u18202) = c_Nat_Onat_Onat__case(_u18199, _u18200, hAPP(c_List_Onth(_u18199), _u18201), _u18202)) )).
% 13.06/13.33 cnf(matrix-7378, plain, ( ( hAPP(hAPP(c_List_Onth(_u18203), hAPP(hAPP(c_List_Olist_OCons(_u18203), _u18204), _u18205)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u18204) )).
% 13.06/13.33 cnf(matrix-7379, plain, ( ( hAPP(hAPP(c_List_Onth(_u18206), hAPP(hAPP(c_List_Olist_OCons(_u18206), _u18207), _u18208)), hAPP(c_Nat_OSuc, _u18209)) = hAPP(hAPP(c_List_Onth(_u18206), _u18208), _u18209)) )).
% 13.06/13.33 cnf(matrix-7380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18211), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18217)), _u18219))) | hBOOL(hAPP(_u18221, hAPP(hAPP(c_List_Onth(_u18217), _u18219), _u18211))) | hBOOL(hAPP(hAPP(c_member(_u18217), skolem461(_u18221, _u18219, _u18217)), hAPP(c_List_Oset(_u18217), _u18219))) )).
% 13.06/13.33 cnf(matrix-7381, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18211), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18217)), _u18219))) | hBOOL(hAPP(_u18221, hAPP(hAPP(c_List_Onth(_u18217), _u18219), _u18211))) | ~hBOOL(hAPP(_u18221, skolem461(_u18221, _u18219, _u18217))) )).
% 13.06/13.33 cnf(matrix-7382, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18218), _u18213), hAPP(c_List_Oset(_u18218), _u18220))) | hBOOL(hAPP(_u18222, _u18213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18222, _u18220, _u18218)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18218)), _u18220))) )).
% 13.06/13.33 cnf(matrix-7383, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18218), _u18213), hAPP(c_List_Oset(_u18218), _u18220))) | hBOOL(hAPP(_u18222, _u18213)) | ~hBOOL(hAPP(_u18222, hAPP(hAPP(c_List_Onth(_u18218), _u18220), skolem462(_u18222, _u18220, _u18218)))) )).
% 13.06/13.33 cnf(matrix-7384, plain, ( ( _u18228 != _u18230) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18228) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18230)) )).
% 13.06/13.33 cnf(matrix-7385, plain, ( ( _u18228 != _u18230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18223), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18228))) | ( hAPP(hAPP(c_List_Onth(_u18232), _u18228), _u18223) = hAPP(hAPP(c_List_Onth(_u18232), _u18230), _u18223)) )).
% 13.06/13.33 cnf(matrix-7386, plain, ( ( _u18229 = _u18231) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18229) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18233, _u18231, _u18229)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18229))) )).
% 13.06/13.33 cnf(matrix-7387, plain, ( ( _u18229 = _u18231) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18229) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18231)) | ( hAPP(hAPP(c_List_Onth(_u18233), _u18229), skolem463(_u18233, _u18231, _u18229)) != hAPP(hAPP(c_List_Onth(_u18233), _u18231), skolem463(_u18233, _u18231, _u18229))) )).
% 13.06/13.33 cnf(matrix-7388, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18240), _u18242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18235), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18240)), _u18242))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18234), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18240)), _u18242))) | ( _u18235 = _u18234) | ( hAPP(hAPP(c_List_Onth(_u18240), _u18242), _u18235) != hAPP(hAPP(c_List_Onth(_u18240), _u18242), _u18234)) )).
% 13.06/13.33 cnf(matrix-7389, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem464(_u18243, _u18241)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18241)), _u18243))) )).
% 13.06/13.33 cnf(matrix-7390, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem465(_u18243, _u18241)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18241)), _u18243))) )).
% 13.06/13.33 cnf(matrix-7391, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | ( skolem464(_u18243, _u18241) != skolem465(_u18243, _u18241)) )).
% 13.06/13.33 cnf(matrix-7392, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18241), _u18243)) | ( hAPP(hAPP(c_List_Onth(_u18241), _u18243), skolem464(_u18243, _u18241)) = hAPP(hAPP(c_List_Onth(_u18241), _u18243), skolem465(_u18243, _u18241))) )).
% 13.06/13.33 cnf(matrix-7393, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18244), _u18245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18246), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18247), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ( hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18246) != hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18247)) | ( _u18246 = _u18247) )).
% 13.06/13.33 cnf(matrix-7394, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18244), _u18245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18246), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18247), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18244)), _u18245))) | ( _u18246 != _u18247) | ( hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18246) = hAPP(hAPP(c_List_Onth(_u18244), _u18245), _u18247)) )).
% 13.06/13.33 cnf(matrix-7395, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18248), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18249)), _u18250))) | hBOOL(hAPP(hAPP(c_member(_u18249), hAPP(hAPP(c_List_Onth(_u18249), _u18250), _u18248)), hAPP(c_List_Oset(_u18249), _u18250))) )).
% 13.06/13.33 cnf(matrix-7396, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18256), _u18258), hAPP(c_List_Oset(_u18256), _u18260))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18260, _u18258, _u18256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18256)), _u18260))) )).
% 13.06/13.33 cnf(matrix-7397, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18256), _u18258), hAPP(c_List_Oset(_u18256), _u18260))) | ( hAPP(hAPP(c_List_Onth(_u18256), _u18260), skolem466(_u18260, _u18258, _u18256)) = _u18258) )).
% 13.06/13.33 cnf(matrix-7398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18252), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18257)), _u18261))) | ( hAPP(hAPP(c_List_Onth(_u18257), _u18261), _u18252) != _u18259) | hBOOL(hAPP(hAPP(c_member(_u18257), _u18259), hAPP(c_List_Oset(_u18257), _u18261))) )).
% 13.06/13.33 cnf(matrix-7399, plain, ( ( _u18266 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18268), hAPP(hAPP(c_List_Olist_OCons(_u18268), _u18270), _u18272)), _u18266) = _u18270) )).
% 13.06/13.33 cnf(matrix-7400, plain, ( ( _u18267 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18269), hAPP(hAPP(c_List_Olist_OCons(_u18269), _u18271), _u18273)), _u18267) = hAPP(hAPP(c_List_Onth(_u18269), _u18273), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18267), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.06/13.33 cnf(matrix-7401, plain, ( ( hAPP(c_List_Oset(_u18274), _u18275) = hAPP(c_Set_OCollect(_u18274), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18274), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18274, 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)), _u18274), 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)), _u18274), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18274, tc_fun(tc_Nat_Onat, _u18274), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18274, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18274), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18274), c_COMBB(_u18274, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18274), _u18275))))), 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(_u18274)), _u18275)))))) )).
% 13.06/13.33 cnf(matrix-7402, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18280) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18282), hAPP(hAPP(c_List_Olist_OCons(_u18282), _u18284), _u18286)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18280)) = _u18284) )).
% 13.06/13.33 cnf(matrix-7403, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18281) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u18283), hAPP(hAPP(c_List_Olist_OCons(_u18283), _u18285), _u18287)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18281)) = hAPP(hAPP(c_List_Onth(_u18283), _u18287), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18281)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.06/13.33 cnf(matrix-7404, plain, ( ~class_Groups_Ocomm__monoid__add(_u18288) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18288), _u18289) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18288), hAPP(c_List_Onth(_u18288), _u18289)), 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(_u18288)), _u18289)))) )).
% 13.06/13.33 cnf(matrix-7405, plain, ( ( hAPP(c_List_Oset(_u18290), c_List_Osublist(_u18290, _u18291, _u18292)) = hAPP(c_Set_OCollect(_u18290), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u18290), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u18290, 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)), _u18290), 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)), _u18290), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u18290, tc_fun(tc_Nat_Onat, _u18290), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18290, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u18290), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u18290), c_COMBB(_u18290, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u18290), _u18291))))), 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(_u18290)), _u18291)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u18292)))))) )).
% 13.06/13.33 cnf(matrix-7406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18297), tc_List_Olist(_u18297))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18297), tc_List_Olist(_u18297)), _u18299), _u18301)), c_List_Olex(_u18297, _u18303))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18297), tc_List_Olist(_u18297))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18297), tc_List_Olist(_u18297)), _u18299), _u18301)), c_List_Olexord(_u18297, _u18303))) )).
% 13.06/13.33 cnf(matrix-7407, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18297), tc_List_Olist(_u18297))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18297), tc_List_Olist(_u18297)), _u18299), _u18301)), c_List_Olex(_u18297, _u18303))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18299) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18297)), _u18301)) )).
% 13.06/13.33 cnf(matrix-7408, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18298), tc_List_Olist(_u18298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18298), tc_List_Olist(_u18298)), _u18300), _u18302)), c_List_Olexord(_u18298, _u18304))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18298)), _u18300) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18298)), _u18302)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18298), tc_List_Olist(_u18298))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18298), tc_List_Olist(_u18298)), _u18300), _u18302)), c_List_Olex(_u18298, _u18304))) )).
% 13.06/13.33 cnf(matrix-7409, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18313), _u18315)), c_List_Olistrel(_u18311, _u18317))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18313) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18315)) )).
% 13.06/13.33 cnf(matrix-7410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18311), tc_List_Olist(_u18311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18311), tc_List_Olist(_u18311)), _u18313), _u18315)), c_List_Olistrel(_u18311, _u18317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18305), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18313))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18311, _u18311)), hAPP(hAPP(c_Product__Type_OPair(_u18311, _u18311), hAPP(hAPP(c_List_Onth(_u18311), _u18313), _u18305)), hAPP(hAPP(c_List_Onth(_u18311), _u18315), _u18305))), _u18317)) )).
% 13.06/13.33 cnf(matrix-7411, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), _u18314), _u18316)), c_List_Olistrel(_u18312, _u18318))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18314) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem467(_u18318, _u18316, _u18314, _u18312)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18314))) )).
% 13.06/13.33 cnf(matrix-7412, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18312), tc_List_Olist(_u18312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18312), tc_List_Olist(_u18312)), _u18314), _u18316)), c_List_Olistrel(_u18312, _u18318))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18314) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18312)), _u18316)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18312, _u18312)), hAPP(hAPP(c_Product__Type_OPair(_u18312, _u18312), hAPP(hAPP(c_List_Onth(_u18312), _u18314), skolem467(_u18318, _u18316, _u18314, _u18312))), hAPP(hAPP(c_List_Onth(_u18312), _u18316), skolem467(_u18318, _u18316, _u18314, _u18312)))), _u18318)) )).
% 13.06/13.33 cnf(matrix-7413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18319), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18320)), _u18321))) | ( hAPP(c_Random_Opick(_u18320, hAPP(hAPP(c_List_Omap(_u18320, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18320)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18320), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18321)), hAPP(c_Code__Numeral_Oof__nat, _u18319)) = hAPP(hAPP(c_List_Onth(_u18320), _u18321), _u18319)) )).
% 13.06/13.33 cnf(matrix-7414, plain, ( ( c_Random_Oselect(_u18322, _u18323) = 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(_u18322, 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(_u18322)), _u18323)))), hAPP(hAPP(c_COMBB(_u18322, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u18322, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u18322, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u18322, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u18322), _u18323)), c_Code__Numeral_Onat__of)))) )).
% 13.06/13.33 cnf(matrix-7415, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u18336, _u18334, _u18332, _u18330)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334)))) )).
% 13.06/13.33 cnf(matrix-7416, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334))) | ( hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18332) = hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18334)) )).
% 13.06/13.33 cnf(matrix-7417, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18330, _u18330)), hAPP(hAPP(c_Product__Type_OPair(_u18330, _u18330), hAPP(hAPP(c_List_Onth(_u18330), _u18332), skolem468(_u18336, _u18334, _u18332, _u18330))), hAPP(hAPP(c_List_Onth(_u18330), _u18334), skolem468(_u18336, _u18334, _u18332, _u18330)))), _u18336)) )).
% 13.06/13.33 cnf(matrix-7418, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | ( hAPP(hAPP(c_List_Otake(_u18330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), _u18334) = _u18332) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u18336, _u18334, _u18332, _u18330)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18334)))) )).
% 13.06/13.33 cnf(matrix-7419, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | ( hAPP(hAPP(c_List_Otake(_u18330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), _u18334) = _u18332) | ( hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18332) = hAPP(hAPP(c_List_Otake(_u18330), skolem468(_u18336, _u18334, _u18332, _u18330)), _u18334)) )).
% 13.06/13.33 cnf(matrix-7420, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18330), tc_List_Olist(_u18330))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18330), tc_List_Olist(_u18330)), _u18332), _u18334)), c_List_Olexord(_u18330, _u18336))) | ( hAPP(hAPP(c_List_Otake(_u18330), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18332)), _u18334) = _u18332) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18330, _u18330)), hAPP(hAPP(c_Product__Type_OPair(_u18330, _u18330), hAPP(hAPP(c_List_Onth(_u18330), _u18332), skolem468(_u18336, _u18334, _u18332, _u18330))), hAPP(hAPP(c_List_Onth(_u18330), _u18334), skolem468(_u18336, _u18334, _u18332, _u18330)))), _u18336)) )).
% 13.06/13.33 cnf(matrix-7421, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18331), tc_List_Olist(_u18331))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18331), tc_List_Olist(_u18331)), _u18333), _u18335)), c_List_Olexord(_u18331, _u18337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18333)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18335))) | ( hAPP(hAPP(c_List_Otake(_u18331), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18333)), _u18335) != _u18333) )).
% 13.06/13.33 cnf(matrix-7422, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18331), tc_List_Olist(_u18331))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18331), tc_List_Olist(_u18331)), _u18333), _u18335)), c_List_Olexord(_u18331, _u18337))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18325), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18333)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18331)), _u18335)))) | ( hAPP(hAPP(c_List_Otake(_u18331), _u18325), _u18333) != hAPP(hAPP(c_List_Otake(_u18331), _u18325), _u18335)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18331, _u18331)), hAPP(hAPP(c_Product__Type_OPair(_u18331, _u18331), hAPP(hAPP(c_List_Onth(_u18331), _u18333), _u18325)), hAPP(hAPP(c_List_Onth(_u18331), _u18335), _u18325))), _u18337)) )).
% 13.06/13.33 cnf(matrix-7423, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18338), _u18339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18340, tc_HOL_Obool)), hAPP(c_List_Oset(_u18340), hAPP(hAPP(c_List_Otake(_u18340), _u18338), _u18341))), hAPP(c_List_Oset(_u18340), hAPP(hAPP(c_List_Otake(_u18340), _u18339), _u18341)))) )).
% 13.06/13.33 cnf(matrix-7424, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18342), _u18343), hAPP(c_List_Oset(_u18342), hAPP(hAPP(c_List_Otake(_u18342), _u18344), _u18345)))) | hBOOL(hAPP(hAPP(c_member(_u18342), _u18343), hAPP(c_List_Oset(_u18342), _u18345))) )).
% 13.06/13.33 cnf(matrix-7425, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18346), _u18347)) | ( hAPP(hAPP(c_List_Onth(_u18348), hAPP(hAPP(c_List_Otake(_u18348), _u18347), _u18349)), _u18346) = hAPP(hAPP(c_List_Onth(_u18348), _u18349), _u18346)) )).
% 13.06/13.33 cnf(matrix-7426, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18350, tc_HOL_Obool)), hAPP(c_List_Oset(_u18350), hAPP(hAPP(c_List_Otake(_u18350), _u18351), _u18352))), hAPP(c_List_Oset(_u18350), _u18352))) )).
% 13.06/13.33 cnf(matrix-7427, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18353)), _u18354)), _u18355)) | ( hAPP(hAPP(c_List_Otake(_u18353), _u18355), _u18354) = _u18354) )).
% 13.06/13.33 cnf(matrix-7428, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18356), _u18357)) | hBOOL(hAPP(c_List_Odistinct(_u18356), hAPP(hAPP(c_List_Otake(_u18356), _u18358), _u18357))) )).
% 13.06/13.33 cnf(matrix-7429, plain, ( ( hAPP(hAPP(c_List_Otake(_u18359), _u18360), hAPP(hAPP(c_List_Otake(_u18359), _u18361), _u18362)) = hAPP(hAPP(c_List_Otake(_u18359), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u18360), _u18361)), _u18362)) )).
% 13.06/13.33 cnf(matrix-7430, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u18363, _u18364)), _u18365), hAPP(hAPP(c_List_Ozip(_u18363, _u18364), _u18366), _u18367)) = hAPP(hAPP(c_List_Ozip(_u18363, _u18364), hAPP(hAPP(c_List_Otake(_u18363), _u18365), _u18366)), hAPP(hAPP(c_List_Otake(_u18364), _u18365), _u18367))) )).
% 13.06/13.33 cnf(matrix-7431, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18368)), hAPP(hAPP(c_List_Otake(_u18368), _u18369), _u18370)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18368)), _u18370)), _u18369)) )).
% 13.06/13.33 cnf(matrix-7432, plain, ( ( hAPP(hAPP(c_List_Otake(_u18371), hAPP(c_Nat_OSuc, _u18372)), hAPP(hAPP(c_List_Olist_OCons(_u18371), _u18373), _u18374)) = hAPP(hAPP(c_List_Olist_OCons(_u18371), _u18373), hAPP(hAPP(c_List_Otake(_u18371), _u18372), _u18374))) )).
% 13.06/13.33 cnf(matrix-7433, plain, ( ( c_List_Osublist(_u18375, _u18376, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18377)) = hAPP(hAPP(c_List_Otake(_u18375), _u18377), _u18376)) )).
% 13.06/13.33 cnf(matrix-7434, plain, ( ( hAPP(hAPP(c_List_Otake(_u18378), _u18379), hAPP(hAPP(c_List_Omap(_u18380, _u18378), _u18381), _u18382)) = hAPP(hAPP(c_List_Omap(_u18380, _u18378), _u18381), hAPP(hAPP(c_List_Otake(_u18380), _u18379), _u18382))) )).
% 13.06/13.33 cnf(matrix-7435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18383), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u18384))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u18384), _u18383), _u18385)) = 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), _u18384)), _u18385)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u18384), _u18383))) )).
% 13.06/13.33 cnf(matrix-7436, plain, ( ( _u18386 = c_List_Olist_ONil(_u18387)) | ( c_Random_Oselect__weight(_u18387, hAPP(hAPP(c_List_Omap(_u18387, tc_prod(tc_Code__Numeral_Ocode__numeral, _u18387)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u18387), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u18386)) = c_Random_Oselect(_u18387, _u18386)) )).
% 13.06/13.33 cnf(matrix-7437, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18388), tc_List_Olist(_u18388))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18388), tc_List_Olist(_u18388)), _u18389), c_List_Olist_ONil(_u18388))), c_List_Olistrel(_u18388, _u18390))) | ( _u18389 = c_List_Olist_ONil(_u18388)) )).
% 13.06/13.33 cnf(matrix-7438, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18391), tc_List_Olist(_u18391))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18391), tc_List_Olist(_u18391)), c_List_Olist_ONil(_u18391)), _u18392)), c_List_Olistrel(_u18391, _u18393))) | ( _u18392 = c_List_Olist_ONil(_u18391)) )).
% 13.06/13.33 cnf(matrix-7439, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18394, _u18395), _u18396), hAPP(hAPP(c_List_Onth(_u18394), _u18395), _u18396)) = _u18395) )).
% 13.06/13.33 cnf(matrix-7440, plain, ( ( _u18397 = _u18398) | ( hAPP(hAPP(c_List_Onth(_u18399), hAPP(hAPP(c_List_Olist__update(_u18399, _u18400), _u18397), _u18401)), _u18398) = hAPP(hAPP(c_List_Onth(_u18399), _u18400), _u18398)) )).
% 13.06/13.33 cnf(matrix-7441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18402)), _u18403)), _u18404)) | ( hAPP(hAPP(c_List_Olist__update(_u18402, _u18403), _u18404), _u18405) = _u18403) )).
% 13.06/13.33 cnf(matrix-7442, plain, ( ( hAPP(hAPP(c_List_Otake(_u18409), _u18411), _u18413) != c_List_Olist_ONil(_u18409)) | ( _u18411 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18413 = c_List_Olist_ONil(_u18409)) )).
% 13.06/13.33 cnf(matrix-7443, plain, ( ( hAPP(hAPP(c_List_Otake(_u18410), _u18412), _u18414) = c_List_Olist_ONil(_u18410)) | ( _u18412 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-7444, plain, ( ( hAPP(hAPP(c_List_Otake(_u18410), _u18412), _u18414) = c_List_Olist_ONil(_u18410)) | ( _u18414 != c_List_Olist_ONil(_u18410)) )).
% 13.06/13.33 cnf(matrix-7445, plain, ( ( hAPP(hAPP(c_List_Otake(_u18415), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18416) = c_List_Olist_ONil(_u18415)) )).
% 13.06/13.33 cnf(matrix-7446, plain, ( ( hAPP(hAPP(c_List_Otake(_u18417), _u18418), c_List_Olist_ONil(_u18417)) = c_List_Olist_ONil(_u18417)) )).
% 13.06/13.33 cnf(matrix-7447, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18419)), c_List_Olist_ONil(_u18419)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-7448, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18422)), _u18424) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u18424 = c_List_Olist_ONil(_u18422)) )).
% 13.06/13.33 cnf(matrix-7449, plain, ( ( _u18425 != c_List_Olist_ONil(_u18423)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18423)), _u18425) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.33 cnf(matrix-7450, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18426)), hAPP(hAPP(c_List_Olist__update(_u18426, _u18427), _u18428), _u18429)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18426)), _u18427)) )).
% 13.06/13.33 cnf(matrix-7451, plain, ( ( hAPP(hAPP(c_List_Otake(_u18430), _u18431), hAPP(hAPP(c_List_Olist_OCons(_u18430), _u18432), _u18433)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18430), c_List_Olist_ONil(_u18430), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18430), tc_List_Olist(_u18430), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18430), _u18432)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u18430), tc_List_Olist(_u18430)), c_List_Otake(_u18430)), _u18433)), _u18431)) )).
% 13.06/13.33 cnf(matrix-7452, plain, ( ( _u18444 = c_List_Olist_ONil(_u18440)) | ( c_List_Olist_ONil(_u18438) != hAPP(hAPP(c_List_Omap(_u18440, _u18438), _u18442), _u18444)) )).
% 13.06/13.33 cnf(matrix-7453, plain, ( ( _u18445 != c_List_Olist_ONil(_u18441)) | ( c_List_Olist_ONil(_u18439) = hAPP(hAPP(c_List_Omap(_u18441, _u18439), _u18443), _u18445)) )).
% 13.06/13.33 cnf(matrix-7454, plain, ( ( hAPP(hAPP(c_List_Omap(_u18446, _u18447), _u18448), c_List_Olist_ONil(_u18446)) = c_List_Olist_ONil(_u18447)) )).
% 13.06/13.33 cnf(matrix-7455, plain, ( ( hAPP(hAPP(c_List_Omap(_u18449, _u18450), _u18451), hAPP(hAPP(c_List_Olist__update(_u18449, _u18452), _u18453), _u18454)) = hAPP(hAPP(c_List_Olist__update(_u18450, hAPP(hAPP(c_List_Omap(_u18449, _u18450), _u18451), _u18452)), _u18453), hAPP(_u18451, _u18454))) )).
% 13.06/13.33 cnf(matrix-7456, plain, ( ( hAPP(hAPP(c_List_Omap(_u18459, _u18461), _u18463), _u18465) != c_List_Olist_ONil(_u18461)) | ( _u18465 = c_List_Olist_ONil(_u18459)) )).
% 13.06/13.33 cnf(matrix-7457, plain, ( ( _u18466 != c_List_Olist_ONil(_u18460)) | ( hAPP(hAPP(c_List_Omap(_u18460, _u18462), _u18464), _u18466) = c_List_Olist_ONil(_u18462)) )).
% 13.06/13.33 cnf(matrix-7458, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18467, _u18468), hAPP(hAPP(c_List_Olist__update(_u18467, _u18469), _u18470), _u18471)), hAPP(hAPP(c_List_Olist__update(_u18468, _u18472), _u18470), _u18473)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u18467, _u18468), hAPP(hAPP(c_List_Ozip(_u18467, _u18468), _u18469), _u18472)), _u18470), hAPP(hAPP(c_Product__Type_OPair(_u18467, _u18468), _u18471), _u18473))) )).
% 13.06/13.33 cnf(matrix-7459, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u18474, _u18475), hAPP(hAPP(c_List_Ozip(_u18474, _u18475), _u18476), _u18477)), _u18478), _u18479) = hAPP(hAPP(c_List_Ozip(_u18474, _u18475), hAPP(hAPP(c_List_Olist__update(_u18474, _u18476), _u18478), hAPP(c_Product__Type_Ofst(_u18474, _u18475), _u18479))), hAPP(hAPP(c_List_Olist__update(_u18475, _u18477), _u18478), hAPP(c_Product__Type_Osnd(_u18474, _u18475), _u18479)))) )).
% 13.06/13.33 cnf(matrix-7460, plain, ( ( c_List_Osublist(_u18480, c_List_Olist_ONil(_u18480), _u18481) = c_List_Olist_ONil(_u18480)) )).
% 13.06/13.33 cnf(matrix-7461, plain, ( ( c_List_Osublist(_u18482, _u18483, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u18482)) )).
% 13.06/13.33 cnf(matrix-7462, plain, ( ~class_Orderings_Olinorder(_u18484) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18485, _u18484, _u18486), _u18487), c_List_Olist_ONil(_u18485)) = hAPP(hAPP(c_List_Olist_OCons(_u18485), _u18487), c_List_Olist_ONil(_u18485))) )).
% 13.06/13.33 cnf(matrix-7463, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18488, hAPP(hAPP(c_List_Olist_OCons(_u18488), _u18489), _u18490)), _u18491), _u18492) = c_Nat_Onat_Onat__case(tc_List_Olist(_u18488), hAPP(hAPP(c_List_Olist_OCons(_u18488), _u18492), _u18490), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18488), tc_List_Olist(_u18488), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u18488), _u18489)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u18488, tc_List_Olist(_u18488)), c_List_Olist__update(_u18488, _u18490)), _u18492)), _u18491)) )).
% 13.06/13.33 cnf(matrix-7464, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18493, hAPP(hAPP(c_List_Olist_OCons(_u18493), _u18494), _u18495)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18496) = hAPP(hAPP(c_List_Olist_OCons(_u18493), _u18496), _u18495)) )).
% 13.06/13.33 cnf(matrix-7465, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18497, hAPP(hAPP(c_List_Olist_OCons(_u18497), _u18498), _u18499)), hAPP(c_Nat_OSuc, _u18500)), _u18501) = hAPP(hAPP(c_List_Olist_OCons(_u18497), _u18498), hAPP(hAPP(c_List_Olist__update(_u18497, _u18499), _u18500), _u18501))) )).
% 13.06/13.33 cnf(matrix-7466, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18502), _u18503), _u18504) != c_List_Olist_ONil(_u18502)) )).
% 13.06/13.33 cnf(matrix-7467, plain, ( ( c_List_Olist_ONil(_u18505) != hAPP(hAPP(c_List_Olist_OCons(_u18505), _u18506), _u18507)) )).
% 13.06/13.33 cnf(matrix-7468, plain, ( ~class_Orderings_Olinorder(_u18508) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18508, c_Orderings_Obot__class_Obot(tc_fun(_u18508, tc_HOL_Obool))) = c_List_Olist_ONil(_u18508)) )).
% 13.06/13.33 cnf(matrix-7469, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18509, _u18510), _u18511), c_List_Olist_ONil(_u18510)) = c_List_Olist_ONil(tc_prod(_u18509, _u18510))) )).
% 13.06/13.33 cnf(matrix-7470, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18512, _u18513), c_List_Olist_ONil(_u18512)), _u18514) = c_List_Olist_ONil(tc_prod(_u18512, _u18513))) )).
% 13.06/13.33 cnf(matrix-7471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u18515), _u18516)) | ( c_List_Oupto(_u18516, _u18515) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.06/13.33 cnf(matrix-7472, plain, ( ( c_List_Ofoldr(_u18517, _u18518, _u18519, c_List_Olist_ONil(_u18517), _u18520) = _u18520) )).
% 13.06/13.33 cnf(matrix-7473, plain, ( ( hAPP(c_Map_Omap__of(_u18521, _u18522, c_List_Olist_ONil(tc_prod(_u18521, _u18522))), _u18523) = c_Option_Ooption_ONone(_u18522)) )).
% 13.06/13.33 cnf(matrix-7474, plain, ( ( hAPP(c_Map_Omap__of(_u18524, _u18525, c_List_Olist_ONil(tc_prod(_u18524, _u18525))), _u18526) = c_Option_Ooption_ONone(_u18525)) )).
% 13.06/13.33 cnf(matrix-7475, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18531, _u18533), _u18535), _u18537) != c_List_Olist_ONil(_u18531)) | ( _u18533 = c_List_Olist_ONil(_u18531)) )).
% 13.06/13.33 cnf(matrix-7476, plain, ( ( _u18534 != c_List_Olist_ONil(_u18532)) | ( hAPP(hAPP(c_List_Olist__update(_u18532, _u18534), _u18536), _u18538) = c_List_Olist_ONil(_u18532)) )).
% 13.06/13.33 cnf(matrix-7477, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18539, c_List_Olist_ONil(_u18539)), _u18540), _u18541) = c_List_Olist_ONil(_u18539)) )).
% 13.06/13.33 cnf(matrix-7478, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18542, c_List_Olist_ONil(_u18542)), _u18543), _u18544) = c_List_Olist_ONil(_u18542)) )).
% 13.06/13.33 cnf(matrix-7479, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18545, hAPP(hAPP(c_List_Olist__update(_u18545, _u18546), _u18547), _u18548)), _u18547), _u18549) = hAPP(hAPP(c_List_Olist__update(_u18545, _u18546), _u18547), _u18549)) )).
% 13.06/13.33 cnf(matrix-7480, plain, ( ( _u18550 = _u18551) | ( hAPP(hAPP(c_List_Olist__update(_u18552, hAPP(hAPP(c_List_Olist__update(_u18552, _u18553), _u18550), _u18554)), _u18551), _u18555) = hAPP(hAPP(c_List_Olist__update(_u18552, hAPP(hAPP(c_List_Olist__update(_u18552, _u18553), _u18551), _u18555)), _u18550), _u18554)) )).
% 13.06/13.33 cnf(matrix-7481, plain, ( ( c_List_Oremove1(_u18556, _u18557, c_List_Olist_ONil(_u18556)) = c_List_Olist_ONil(_u18556)) )).
% 13.06/13.33 cnf(matrix-7482, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18558), c_List_Olist_ONil(_u18558))) )).
% 13.06/13.33 cnf(matrix-7483, plain, ( ~class_Orderings_Olinorder(_u18559) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18560, _u18559, _u18561), _u18562), _u18563) != c_List_Olist_ONil(_u18560)) )).
% 13.06/13.33 cnf(matrix-7484, plain, ( c_List_Olistrelp(_u18564, _u18565, c_List_Olist_ONil(_u18564), c_List_Olist_ONil(_u18564)) )).
% 13.06/13.33 cnf(matrix-7485, plain, ( c_List_Olistrelp(_u18566, _u18567, c_List_Olist_ONil(_u18566), c_List_Olist_ONil(_u18566)) )).
% 13.06/13.33 cnf(matrix-7486, plain, ( ( hAPP(c_List_Oset(_u18568), c_List_Olist_ONil(_u18568)) = c_Orderings_Obot__class_Obot(tc_fun(_u18568, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7487, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u18571, tc_HOL_Obool)) != hAPP(c_List_Oset(_u18571), _u18573)) | ( _u18573 = c_List_Olist_ONil(_u18571)) )).
% 13.06/13.33 cnf(matrix-7488, plain, ( ( _u18574 != c_List_Olist_ONil(_u18572)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u18572, tc_HOL_Obool)) = hAPP(c_List_Oset(_u18572), _u18574)) )).
% 13.06/13.33 cnf(matrix-7489, plain, ( ( hAPP(c_List_Oset(_u18577), _u18579) != c_Orderings_Obot__class_Obot(tc_fun(_u18577, tc_HOL_Obool))) | ( _u18579 = c_List_Olist_ONil(_u18577)) )).
% 13.06/13.33 cnf(matrix-7490, plain, ( ( _u18580 != c_List_Olist_ONil(_u18578)) | ( hAPP(c_List_Oset(_u18578), _u18580) = c_Orderings_Obot__class_Obot(tc_fun(_u18578, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7491, plain, ( ~class_Groups_Omonoid__add(_u18581) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18581), c_List_Olist_ONil(_u18581)) = c_Groups_Ozero__class_Ozero(_u18581)) )).
% 13.06/13.33 cnf(matrix-7492, 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(_u18584)), _u18586))) | ( _u18586 != c_List_Olist_ONil(_u18584)) )).
% 13.06/13.33 cnf(matrix-7493, plain, ( ( _u18587 = c_List_Olist_ONil(_u18585)) | 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(_u18585)), _u18587))) )).
% 13.06/13.33 cnf(matrix-7494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18588, tc_HOL_Obool)), hAPP(c_List_Oset(_u18588), _u18589)), _u18590)) | ~hBOOL(hAPP(hAPP(c_member(_u18588), _u18591), _u18590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18588, tc_HOL_Obool)), hAPP(c_List_Oset(_u18588), hAPP(hAPP(c_List_Olist__update(_u18588, _u18589), _u18592), _u18591))), _u18590)) )).
% 13.06/13.33 cnf(matrix-7495, plain, ( ( hAPP(hAPP(c_List_Otake(_u18593), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u18593), _u18594), _u18595)) = hAPP(hAPP(c_List_Olist_OCons(_u18593), _u18594), c_List_Olist_ONil(_u18593))) )).
% 13.06/13.33 cnf(matrix-7496, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18596, tc_HOL_Obool)), hAPP(c_List_Oset(_u18596), hAPP(hAPP(c_List_Olist__update(_u18596, _u18597), _u18598), _u18599))), hAPP(hAPP(c_Set_Oinsert(_u18596), _u18599), hAPP(c_List_Oset(_u18596), _u18597)))) )).
% 13.06/13.33 cnf(matrix-7497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18601)), _u18602))) | ( _u18600 != _u18603) | ( hAPP(hAPP(c_List_Onth(_u18601), hAPP(hAPP(c_List_Olist__update(_u18601, _u18602), _u18600), _u18604)), _u18603) = _u18604) )).
% 13.06/13.33 cnf(matrix-7498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18601)), _u18602))) | ( _u18600 = _u18603) | ( hAPP(hAPP(c_List_Onth(_u18601), hAPP(hAPP(c_List_Olist__update(_u18601, _u18602), _u18600), _u18604)), _u18603) = hAPP(hAPP(c_List_Onth(_u18601), _u18602), _u18603)) )).
% 13.06/13.33 cnf(matrix-7499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18606)), _u18607))) | ( hAPP(hAPP(c_List_Olist__update(_u18606, _u18607), _u18605), _u18608) != _u18607) | ( hAPP(hAPP(c_List_Onth(_u18606), _u18607), _u18605) = _u18608) )).
% 13.06/13.33 cnf(matrix-7500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18605), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18606)), _u18607))) | ( hAPP(hAPP(c_List_Onth(_u18606), _u18607), _u18605) != _u18608) | ( hAPP(hAPP(c_List_Olist__update(_u18606, _u18607), _u18605), _u18608) = _u18607) )).
% 13.06/13.33 cnf(matrix-7501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18609), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18610)), _u18611))) | ( hAPP(hAPP(c_List_Onth(_u18610), hAPP(hAPP(c_List_Olist__update(_u18610, _u18611), _u18609), _u18612)), _u18609) = _u18612) )).
% 13.06/13.33 cnf(matrix-7502, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18613), tc_List_Olist(_u18613))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18613), tc_List_Olist(_u18613)), c_List_Olist_ONil(_u18613)), c_List_Olist_ONil(_u18613))), c_List_Olistrel(_u18613, _u18614))) )).
% 13.06/13.33 cnf(matrix-7503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18615), tc_List_Olist(_u18615))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18615), tc_List_Olist(_u18615)), _u18616), c_List_Olist_ONil(_u18615))), c_List_Olexord(_u18615, _u18617))) )).
% 13.06/13.33 cnf(matrix-7504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18618), tc_List_Olist(_u18618))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18618), tc_List_Olist(_u18618)), c_List_Olist_ONil(_u18618)), _u18619)), c_List_Olex(_u18618, _u18620))) )).
% 13.06/13.33 cnf(matrix-7505, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18621), tc_List_Olist(_u18621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18621), tc_List_Olist(_u18621)), _u18622), c_List_Olist_ONil(_u18621))), c_List_Olex(_u18621, _u18623))) )).
% 13.06/13.33 cnf(matrix-7506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18624), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18625)), _u18626))) | hBOOL(hAPP(hAPP(c_member(_u18625), _u18627), hAPP(c_List_Oset(_u18625), hAPP(hAPP(c_List_Olist__update(_u18625, _u18626), _u18624), _u18627)))) )).
% 13.06/13.33 cnf(matrix-7507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18630), _u18632)) | ( c_List_Oupto(_u18630, _u18632) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18630), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18630), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18632))) )).
% 13.06/13.33 cnf(matrix-7508, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18631), _u18633)) | ( c_List_Oupto(_u18631, _u18633) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.06/13.33 cnf(matrix-7509, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18637)) | ( c_List_Osublist(_u18639, hAPP(hAPP(c_List_Olist_OCons(_u18639), _u18641), c_List_Olist_ONil(_u18639)), _u18637) = hAPP(hAPP(c_List_Olist_OCons(_u18639), _u18641), c_List_Olist_ONil(_u18639))) )).
% 13.06/13.33 cnf(matrix-7510, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18638)) | ( c_List_Osublist(_u18640, hAPP(hAPP(c_List_Olist_OCons(_u18640), _u18642), c_List_Olist_ONil(_u18640)), _u18638) = c_List_Olist_ONil(_u18640)) )).
% 13.06/13.33 cnf(matrix-7511, plain, ( ( _u18647 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18649), _u18647), hAPP(hAPP(c_List_Olist_OCons(_u18649), _u18651), _u18653)) = c_List_Olist_ONil(_u18649)) )).
% 13.06/13.33 cnf(matrix-7512, plain, ( ( _u18648 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18650), _u18648), hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18652), _u18654)) = hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18652), hAPP(hAPP(c_List_Otake(_u18650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18648), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18654))) )).
% 13.06/13.33 cnf(matrix-7513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18657)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18659))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18657), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18659)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18657)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18657)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18659)))) )).
% 13.06/13.33 cnf(matrix-7514, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18658)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18660))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18658), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u18660)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.06/13.33 cnf(matrix-7515, plain, ( ( _u18661 = c_List_Olist_ONil(_u18662)) | hBOOL(hAPP(hAPP(c_member(_u18662), hAPP(c_Product__Type_Ofst(_u18662, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u18662, _u18661), _u18663))), hAPP(c_List_Oset(_u18662), _u18661))) )).
% 13.06/13.33 cnf(matrix-7516, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u18664), tc_List_Olist(_u18664), c_List_Olistrel(_u18664, _u18665)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18664)), c_List_Olist_ONil(_u18664)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18664), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18664)), c_List_Olist_ONil(_u18664)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18664), tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-7517, plain, ( ( c_List_Oset__Cons(_u18666, _u18667, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18666)), c_List_Olist_ONil(_u18666)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18666), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u18666, tc_List_Olist(_u18666), hAPP(hAPP(c_COMBC(_u18666, tc_List_Olist(_u18666), tc_List_Olist(_u18666)), c_List_Olist_OCons(_u18666)), c_List_Olist_ONil(_u18666))), _u18667)) )).
% 13.06/13.33 cnf(matrix-7518, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18672) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18674), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18672)), hAPP(hAPP(c_List_Olist_OCons(_u18674), _u18676), _u18678)) = c_List_Olist_ONil(_u18674)) )).
% 13.06/13.33 cnf(matrix-7519, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18673) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u18675), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18673)), hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18677), _u18679)) = hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18677), hAPP(hAPP(c_List_Otake(_u18675), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18673)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18679))) )).
% 13.06/13.33 cnf(matrix-7520, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18680), _u18681)) | hBOOL(hAPP(hAPP(c_member(_u18680), _u18682), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18680, tc_HOL_Obool)), hAPP(c_List_Oset(_u18680), _u18681)), hAPP(hAPP(c_Set_Oinsert(_u18680), hAPP(hAPP(c_List_Onth(_u18680), _u18681), _u18683)), c_Orderings_Obot__class_Obot(tc_fun(_u18680, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u18680), hAPP(hAPP(c_List_Olist__update(_u18680, _u18681), _u18683), _u18682))) )).
% 13.06/13.33 cnf(matrix-7521, 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), _u18684), _u18685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18684), _u18685)) | ( c_List_Oupto(_u18684, _u18685) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u18684), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u18684), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u18685))) )).
% 13.06/13.33 cnf(matrix-7522, 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), _u18684), _u18685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u18684), _u18685)) | ( c_List_Oupto(_u18684, _u18685) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 13.06/13.33 cnf(matrix-7523, plain, ( ( _u18691 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18693, _u18695, _u18697, _u18691), _u18699) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18695), _u18693), c_List_Olist_ONil(_u18695)), _u18699)) )).
% 13.06/13.33 cnf(matrix-7524, plain, ( ( _u18692 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Lazy__Sequence_Oanamorph(_u18694, _u18696, _u18698, _u18692), _u18700) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(_u18696, _u18694), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18696), _u18694), c_List_Olist_ONil(_u18696)), _u18700), hAPP(c_Product__Type_Oprod_Oprod__case(_u18696, _u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), hAPP(hAPP(c_COMBC(_u18696, tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(tc_List_Olist(_u18696), _u18694)), tc_fun(tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), _u18696), c_COMBB(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(tc_List_Olist(_u18696), _u18694), _u18694)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18696), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), tc_fun(tc_prod(tc_List_Olist(_u18696), _u18694), tc_prod(tc_List_Olist(_u18696), _u18694)), _u18696), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18696), _u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18696), tc_List_Olist(_u18696)), tc_fun(tc_List_Olist(_u18696), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694))), _u18696), hAPP(c_COMBB(tc_List_Olist(_u18696), tc_fun(_u18694, tc_prod(tc_List_Olist(_u18696), _u18694)), tc_List_Olist(_u18696)), c_Product__Type_OPair(tc_List_Olist(_u18696), _u18694))), c_List_Olist_OCons(_u18696))))), c_Lazy__Sequence_Oanamorph(_u18694, _u18696, _u18698, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18692), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u18698, _u18700))) )).
% 13.06/13.33 cnf(matrix-7525, plain, ( ( c_List_Olistset(_u18701, c_List_Olist_ONil(tc_fun(_u18701, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u18701)), c_List_Olist_ONil(_u18701)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u18701), tc_HOL_Obool)))) )).
% 13.06/13.33 cnf(matrix-7526, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18702, _u18703), _u18704), hAPP(hAPP(c_List_Olist_OCons(_u18703), _u18705), _u18706)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18702, _u18703)), _u18702, c_List_Olist_ONil(tc_prod(_u18702, _u18703)), hAPP(hAPP(c_COMBC(_u18702, tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703))), tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(tc_prod(_u18702, _u18703))), tc_fun(tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703))), tc_fun(tc_List_Olist(_u18702), tc_List_Olist(tc_prod(_u18702, _u18703)))), _u18702), c_COMBB(tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(_u18702))), hAPP(hAPP(c_COMBB(tc_prod(_u18702, _u18703), tc_fun(tc_List_Olist(tc_prod(_u18702, _u18703)), tc_List_Olist(tc_prod(_u18702, _u18703))), _u18702), c_List_Olist_OCons(tc_prod(_u18702, _u18703))), hAPP(hAPP(c_COMBC(_u18702, _u18703, tc_prod(_u18702, _u18703)), c_Product__Type_OPair(_u18702, _u18703)), _u18705)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18702), tc_List_Olist(_u18703), tc_List_Olist(tc_prod(_u18702, _u18703))), c_List_Ozip(_u18702, _u18703)), _u18706))), _u18704)) )).
% 13.06/13.33 cnf(matrix-7527, plain, ( ( hAPP(c_List_Olist_Olist__case(_u18707, _u18708, _u18709, _u18710), hAPP(hAPP(c_List_Olist_OCons(_u18708), _u18711), _u18712)) = hAPP(hAPP(_u18710, _u18711), _u18712)) )).
% 13.06/13.33 cnf(matrix-7528, plain, ( ( hAPP(c_List_Olist_Olist__case(_u18713, _u18714, _u18715, _u18716), c_List_Olist_ONil(_u18714)) = _u18715) )).
% 13.06/13.33 cnf(matrix-7529, plain, ( ( c_List_Olistset(_u18717, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18717, tc_HOL_Obool)), _u18718), _u18719)) = c_List_Oset__Cons(_u18717, _u18718, c_List_Olistset(_u18717, _u18719))) )).
% 13.06/13.33 cnf(matrix-7530, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18720, _u18721), hAPP(hAPP(c_List_Olist_OCons(_u18720), _u18722), _u18723)), _u18724) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u18720, _u18721)), _u18721, c_List_Olist_ONil(tc_prod(_u18720, _u18721)), hAPP(hAPP(c_COMBC(_u18721, tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721))), tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(tc_prod(_u18720, _u18721))), tc_fun(tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721))), tc_fun(tc_List_Olist(_u18721), tc_List_Olist(tc_prod(_u18720, _u18721)))), _u18721), c_COMBB(tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(_u18721))), hAPP(hAPP(c_COMBB(tc_prod(_u18720, _u18721), tc_fun(tc_List_Olist(tc_prod(_u18720, _u18721)), tc_List_Olist(tc_prod(_u18720, _u18721))), _u18721), c_List_Olist_OCons(tc_prod(_u18720, _u18721))), hAPP(c_Product__Type_OPair(_u18720, _u18721), _u18722)))), hAPP(c_List_Ozip(_u18720, _u18721), _u18723))), _u18724)) )).
% 13.06/13.33 cnf(matrix-7531, 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), _u18727), _u18728))) | hBOOL(hAPP(hAPP(_u18729, _u18727), _u18728)) | 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), skolem469(_u18729, _u18728, _u18727)), skolem470(_u18729, _u18728, _u18727)))) )).
% 13.06/13.33 cnf(matrix-7532, 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), _u18727), _u18728))) | hBOOL(hAPP(hAPP(_u18729, _u18727), _u18728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem469(_u18729, _u18728, _u18727)), skolem470(_u18729, _u18728, _u18727))) | hBOOL(hAPP(hAPP(_u18729, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem469(_u18729, _u18728, _u18727)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem470(_u18729, _u18728, _u18727))) )).
% 13.06/13.33 cnf(matrix-7533, 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), _u18727), _u18728))) | hBOOL(hAPP(hAPP(_u18729, _u18727), _u18728)) | ~hBOOL(hAPP(hAPP(_u18729, skolem469(_u18729, _u18728, _u18727)), skolem470(_u18729, _u18728, _u18727))) )).
% 13.06/13.33 cnf(matrix-7534, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18737), _u18739), hAPP(c_List_Oset(_u18737), hAPP(hAPP(c_List_Otake(_u18737), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18741)), _u18743)), _u18745)))) | ( c_Map_Omap__upds(_u18737, _u18741, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18737, tc_Option_Ooption(_u18741)), _u18747), _u18739), hAPP(c_Option_Ooption_OSome(_u18741), _u18749)), _u18745, _u18743) = c_Map_Omap__upds(_u18737, _u18741, _u18747, _u18745, _u18743)) )).
% 13.06/13.33 cnf(matrix-7535, plain, ( hBOOL(hAPP(hAPP(c_member(_u18738), _u18740), hAPP(c_List_Oset(_u18738), hAPP(hAPP(c_List_Otake(_u18738), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18742)), _u18744)), _u18746)))) | ( c_Map_Omap__upds(_u18738, _u18742, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18738, tc_Option_Ooption(_u18742)), _u18748), _u18740), hAPP(c_Option_Ooption_OSome(_u18742), _u18750)), _u18746, _u18744) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18738, tc_Option_Ooption(_u18742)), c_Map_Omap__upds(_u18738, _u18742, _u18748, _u18746, _u18744)), _u18740), hAPP(c_Option_Ooption_OSome(_u18742), _u18750))) )).
% 13.06/13.33 cnf(matrix-7536, plain, ( ( c_Map_Omap__upds(_u18751, _u18752, _u18753, c_List_Olist_ONil(_u18751), _u18754) = _u18753) )).
% 13.06/13.33 cnf(matrix-7537, plain, ( ( c_Map_Omap__upds(_u18755, _u18756, _u18757, _u18758, c_List_Olist_ONil(_u18756)) = _u18757) )).
% 13.06/13.33 cnf(matrix-7538, plain, ( hBOOL(hAPP(hAPP(c_member(_u18759), _u18760), hAPP(c_List_Oset(_u18759), _u18761))) | ( hAPP(c_Map_Omap__upds(_u18759, _u18762, _u18763, _u18761, _u18764), _u18760) = hAPP(_u18763, _u18760)) )).
% 13.06/13.33 cnf(matrix-7539, plain, ( ( c_Map_Omap__add(_u18765, _u18766, _u18767, c_Map_Omap__upds(_u18765, _u18766, _u18768, _u18769, _u18770)) = c_Map_Omap__upds(_u18765, _u18766, c_Map_Omap__add(_u18765, _u18766, _u18767, _u18768), _u18769, _u18770)) )).
% 13.06/13.33 cnf(matrix-7540, plain, ( ( c_Map_Omap__upds(_u18771, _u18772, _u18773, hAPP(hAPP(c_List_Olist_OCons(_u18771), _u18774), _u18775), hAPP(hAPP(c_List_Olist_OCons(_u18772), _u18776), _u18777)) = c_Map_Omap__upds(_u18771, _u18772, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18771, tc_Option_Ooption(_u18772)), _u18773), _u18774), hAPP(c_Option_Ooption_OSome(_u18772), _u18776)), _u18775, _u18777)) )).
% 13.06/13.33 cnf(matrix-7541, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18778)), _u18779)), _u18780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18780), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18781)), _u18782))) | ( c_Map_Omap__upds(_u18778, _u18781, _u18783, _u18779, hAPP(hAPP(c_List_Olist__update(_u18781, _u18782), _u18780), _u18784)) = c_Map_Omap__upds(_u18778, _u18781, _u18783, _u18779, _u18782)) )).
% 13.06/13.33 cnf(matrix-7542, plain, ( hBOOL(hAPP(hAPP(c_member(_u18785), _u18786), hAPP(c_List_Oset(_u18785), _u18787))) | ( c_Map_Omap__upds(_u18785, _u18788, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18785, tc_Option_Ooption(_u18788)), _u18789), _u18786), hAPP(c_Option_Ooption_OSome(_u18788), _u18790)), _u18787, _u18791) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18785, tc_Option_Ooption(_u18788)), c_Map_Omap__upds(_u18785, _u18788, _u18789, _u18787, _u18791)), _u18786), hAPP(c_Option_Ooption_OSome(_u18788), _u18790))) )).
% 13.06/13.33 cnf(matrix-7543, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18792)), _u18793) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18794)), _u18795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18792, tc_HOL_Obool)), hAPP(c_List_Oset(_u18792), _u18793)), _u18796)) | ( c_Map_Orestrict__map(_u18792, _u18794, c_Map_Omap__upds(_u18792, _u18794, _u18797, _u18793, _u18795), _u18796) = c_Map_Omap__upds(_u18792, _u18794, c_Map_Orestrict__map(_u18792, _u18794, _u18797, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18792, tc_HOL_Obool)), _u18796), hAPP(c_List_Oset(_u18792), _u18793))), _u18793, _u18795)) )).
% 13.06/13.33 cnf(matrix-7544, plain, ( ( c_Map_Odom(_u18798, _u18799, c_Map_Omap__upds(_u18798, _u18799, _u18800, _u18801, _u18802)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18798, tc_HOL_Obool)), hAPP(c_List_Oset(_u18798), hAPP(hAPP(c_List_Otake(_u18798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18799)), _u18802)), _u18801))), c_Map_Odom(_u18798, _u18799, _u18800))) )).
% 13.06/13.33 cnf(matrix-7545, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18803)), _u18804)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18805)), _u18806))) | ( c_Map_Omap__upds(_u18803, _u18805, _u18807, hAPP(hAPP(c_List_Oappend(_u18803), _u18804), hAPP(hAPP(c_List_Olist_OCons(_u18803), _u18808), c_List_Olist_ONil(_u18803))), _u18806) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u18803, tc_Option_Ooption(_u18805)), c_Map_Omap__upds(_u18803, _u18805, _u18807, _u18804, _u18806)), _u18808), hAPP(c_Option_Ooption_OSome(_u18805), hAPP(hAPP(c_List_Onth(_u18805), _u18806), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18803)), _u18804))))) )).
% 13.06/13.33 cnf(matrix-7546, plain, ( ( c_List_Osublist(_u18809, hAPP(hAPP(c_List_Olist_OCons(_u18809), _u18810), _u18811), _u18812) = hAPP(hAPP(c_List_Oappend(_u18809), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u18809)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18812)), hAPP(hAPP(c_List_Olist_OCons(_u18809), _u18810), c_List_Olist_ONil(_u18809))), c_List_Olist_ONil(_u18809))), c_List_Osublist(_u18809, _u18811, 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)), _u18812))))) )).
% 13.06/13.33 cnf(matrix-7547, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18818), _u18820), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18822), c_List_Olist_ONil(_u18818))) != hAPP(hAPP(c_List_Oappend(_u18818), _u18824), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18826), c_List_Olist_ONil(_u18818)))) | ( _u18820 = _u18824) )).
% 13.06/13.33 cnf(matrix-7548, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18818), _u18820), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18822), c_List_Olist_ONil(_u18818))) != hAPP(hAPP(c_List_Oappend(_u18818), _u18824), hAPP(hAPP(c_List_Olist_OCons(_u18818), _u18826), c_List_Olist_ONil(_u18818)))) | ( _u18822 = _u18826) )).
% 13.06/13.33 cnf(matrix-7549, plain, ( ( _u18821 != _u18825) | ( _u18823 != _u18827) | ( hAPP(hAPP(c_List_Oappend(_u18819), _u18821), hAPP(hAPP(c_List_Olist_OCons(_u18819), _u18823), c_List_Olist_ONil(_u18819))) = hAPP(hAPP(c_List_Oappend(_u18819), _u18825), hAPP(hAPP(c_List_Olist_OCons(_u18819), _u18827), c_List_Olist_ONil(_u18819)))) )).
% 13.06/13.33 cnf(matrix-7550, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( _u18841 = c_List_Olist_ONil(_u18835)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)) = _u18841) )).
% 13.06/13.33 cnf(matrix-7551, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( _u18841 = c_List_Olist_ONil(_u18835)) | ( _u18839 = hAPP(hAPP(c_List_Oappend(_u18835), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)), _u18843)) )).
% 13.06/13.33 cnf(matrix-7552, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) = _u18843) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)) = _u18841) )).
% 13.06/13.33 cnf(matrix-7553, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) != hAPP(hAPP(c_List_Oappend(_u18835), _u18841), _u18843)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18835), _u18837), _u18839) = _u18843) | ( _u18839 = hAPP(hAPP(c_List_Oappend(_u18835), skolem471(_u18843, _u18841, _u18839, _u18837, _u18835)), _u18843)) )).
% 13.06/13.33 cnf(matrix-7554, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18840) = hAPP(hAPP(c_List_Oappend(_u18836), _u18842), _u18844)) | ( _u18842 != c_List_Olist_ONil(_u18836)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18840) != _u18844) )).
% 13.06/13.33 cnf(matrix-7555, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18840) = hAPP(hAPP(c_List_Oappend(_u18836), _u18842), _u18844)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18836), _u18838), _u18829) != _u18842) | ( _u18840 != hAPP(hAPP(c_List_Oappend(_u18836), _u18829), _u18844)) )).
% 13.06/13.33 cnf(matrix-7556, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18854 = c_List_Olist_ONil(_u18852)) | ( _u18854 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852))) )).
% 13.06/13.33 cnf(matrix-7557, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18854 = c_List_Olist_ONil(_u18852)) | ( hAPP(hAPP(c_List_Oappend(_u18852), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852)), _u18856) = _u18860) )).
% 13.06/13.33 cnf(matrix-7558, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18856 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18854 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852))) )).
% 13.06/13.33 cnf(matrix-7559, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18852), _u18854), _u18856) != hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( _u18856 = hAPP(hAPP(c_List_Olist_OCons(_u18852), _u18858), _u18860)) | ( hAPP(hAPP(c_List_Oappend(_u18852), skolem472(_u18860, _u18858, _u18856, _u18854, _u18852)), _u18856) = _u18860) )).
% 13.06/13.33 cnf(matrix-7560, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18853), _u18855), _u18857) = hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18861)) | ( _u18855 != c_List_Olist_ONil(_u18853)) | ( _u18857 != hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18861)) )).
% 13.06/13.33 cnf(matrix-7561, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18853), _u18855), _u18857) = hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18861)) | ( _u18855 != hAPP(hAPP(c_List_Olist_OCons(_u18853), _u18859), _u18846)) | ( hAPP(hAPP(c_List_Oappend(_u18853), _u18846), _u18857) != _u18861) )).
% 13.06/13.33 cnf(matrix-7562, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18862)), _u18863) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18864)), _u18865)) | ( c_Map_Omap__upds(_u18862, _u18864, _u18866, hAPP(hAPP(c_List_Oappend(_u18862), _u18863), _u18867), _u18865) = c_Map_Omap__upds(_u18862, _u18864, _u18866, _u18863, _u18865)) )).
% 13.06/13.33 cnf(matrix-7563, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18868)), _u18869) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18870)), _u18871)) | ( c_Map_Omap__upds(_u18868, _u18870, _u18872, _u18869, hAPP(hAPP(c_List_Oappend(_u18870), _u18871), _u18873)) = c_Map_Omap__upds(_u18868, _u18870, _u18872, _u18869, _u18871)) )).
% 13.06/13.33 cnf(matrix-7564, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u18874, hAPP(hAPP(c_List_Oappend(_u18874), _u18875), hAPP(hAPP(c_List_Olist_OCons(_u18874), _u18876), _u18877))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875)), _u18878) = hAPP(hAPP(c_List_Oappend(_u18874), _u18875), hAPP(hAPP(c_List_Olist_OCons(_u18874), _u18878), _u18877))) )).
% 13.06/13.33 cnf(matrix-7565, plain, ( ( hAPP(hAPP(c_List_Onth(_u18879), hAPP(hAPP(c_List_Oappend(_u18879), _u18880), hAPP(hAPP(c_List_Olist_OCons(_u18879), _u18881), _u18882))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18879)), _u18880)) = _u18881) )).
% 13.06/13.33 cnf(matrix-7566, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18883), _u18884), _u18885) != _u18886) | ( _u18887 != hAPP(hAPP(c_List_Oappend(_u18883), _u18885), _u18888)) | ( hAPP(hAPP(c_List_Olist_OCons(_u18883), _u18884), _u18887) = hAPP(hAPP(c_List_Oappend(_u18883), _u18886), _u18888)) )).
% 13.06/13.33 cnf(matrix-7567, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18889), hAPP(hAPP(c_List_Olist_OCons(_u18889), _u18890), _u18891)), _u18892) = hAPP(hAPP(c_List_Olist_OCons(_u18889), _u18890), hAPP(hAPP(c_List_Oappend(_u18889), _u18891), _u18892))) )).
% 13.06/13.33 cnf(matrix-7568, plain, ( ( hAPP(hAPP(c_List_Otake(_u18893), _u18894), hAPP(hAPP(c_List_Oappend(_u18893), _u18895), _u18896)) = hAPP(hAPP(c_List_Oappend(_u18893), hAPP(hAPP(c_List_Otake(_u18893), _u18894), _u18895)), hAPP(hAPP(c_List_Otake(_u18893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18894), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18893)), _u18895))), _u18896))) )).
% 13.06/13.33 cnf(matrix-7569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18897), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18898)), _u18899))) | ( hAPP(hAPP(c_List_Olist__update(_u18898, hAPP(hAPP(c_List_Oappend(_u18898), _u18899), _u18900)), _u18897), _u18901) = hAPP(hAPP(c_List_Oappend(_u18898), hAPP(hAPP(c_List_Olist__update(_u18898, _u18899), _u18897), _u18901)), _u18900)) )).
% 13.06/13.33 cnf(matrix-7570, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18906), _u18908), hAPP(c_List_Oset(_u18906), _u18910))) | ( c_List_Oremove1(_u18906, _u18908, hAPP(hAPP(c_List_Oappend(_u18906), _u18910), _u18912)) = hAPP(hAPP(c_List_Oappend(_u18906), c_List_Oremove1(_u18906, _u18908, _u18910)), _u18912)) )).
% 13.06/13.33 cnf(matrix-7571, plain, ( hBOOL(hAPP(hAPP(c_member(_u18907), _u18909), hAPP(c_List_Oset(_u18907), _u18911))) | ( c_List_Oremove1(_u18907, _u18909, hAPP(hAPP(c_List_Oappend(_u18907), _u18911), _u18913)) = hAPP(hAPP(c_List_Oappend(_u18907), _u18911), c_List_Oremove1(_u18907, _u18909, _u18913))) )).
% 13.06/13.33 cnf(matrix-7572, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18914)), hAPP(hAPP(c_List_Oappend(_u18914), _u18915), _u18916)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18914)), _u18915)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18914)), _u18916))) )).
% 13.06/13.33 cnf(matrix-7573, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18917)), _u18918) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18919)), _u18920)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18917)), _u18921) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18919)), _u18922)) | ( hAPP(hAPP(c_List_Ozip(_u18917, _u18919), hAPP(hAPP(c_List_Oappend(_u18917), _u18918), _u18921)), hAPP(hAPP(c_List_Oappend(_u18919), _u18920), _u18922)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u18917, _u18919)), hAPP(hAPP(c_List_Ozip(_u18917, _u18919), _u18918), _u18920)), hAPP(hAPP(c_List_Ozip(_u18917, _u18919), _u18921), _u18922))) )).
% 13.06/13.33 cnf(matrix-7574, plain, ( ( hAPP(hAPP(c_List_Omap(_u18923, _u18924), _u18925), hAPP(hAPP(c_List_Oappend(_u18923), _u18926), _u18927)) = hAPP(hAPP(c_List_Oappend(_u18924), hAPP(hAPP(c_List_Omap(_u18923, _u18924), _u18925), _u18926)), hAPP(hAPP(c_List_Omap(_u18923, _u18924), _u18925), _u18927))) )).
% 13.06/13.33 cnf(matrix-7575, plain, ( ( hAPP(hAPP(c_List_Onth(_u18928), hAPP(hAPP(c_List_Oappend(_u18928), _u18929), _u18930)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18928)), _u18929)), _u18931)) = hAPP(hAPP(c_List_Onth(_u18928), _u18930), _u18931)) )).
% 13.06/13.33 cnf(matrix-7576, plain, ( ( c_List_Ofoldr(_u18932, _u18933, _u18934, hAPP(hAPP(c_List_Oappend(_u18932), _u18935), _u18936), _u18937) = c_List_Ofoldr(_u18932, _u18933, _u18934, _u18935, c_List_Ofoldr(_u18932, _u18933, _u18934, _u18936, _u18937))) )).
% 13.06/13.33 cnf(matrix-7577, plain, ( ( c_Map_Omap__of(_u18938, _u18939, hAPP(hAPP(c_List_Oappend(tc_prod(_u18938, _u18939)), _u18940), _u18941)) = c_Map_Omap__add(_u18938, _u18939, c_Map_Omap__of(_u18938, _u18939, _u18941), c_Map_Omap__of(_u18938, _u18939, _u18940))) )).
% 13.06/13.33 cnf(matrix-7578, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18942), hAPP(hAPP(c_List_Oappend(_u18942), _u18943), _u18944)), _u18945) = hAPP(hAPP(c_List_Oappend(_u18942), _u18943), hAPP(hAPP(c_List_Oappend(_u18942), _u18944), _u18945))) )).
% 13.06/13.33 cnf(matrix-7579, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( _u18959 = hAPP(hAPP(c_List_Oappend(_u18957), _u18963), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957))) | ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)) = _u18963) )).
% 13.06/13.33 cnf(matrix-7580, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( _u18959 = hAPP(hAPP(c_List_Oappend(_u18957), _u18963), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957))) | ( _u18961 = hAPP(hAPP(c_List_Oappend(_u18957), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18965)) )).
% 13.06/13.33 cnf(matrix-7581, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( hAPP(hAPP(c_List_Oappend(_u18957), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18961) = _u18965) | ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)) = _u18963) )).
% 13.06/13.33 cnf(matrix-7582, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18957), _u18959), _u18961) != hAPP(hAPP(c_List_Oappend(_u18957), _u18963), _u18965)) | ( hAPP(hAPP(c_List_Oappend(_u18957), skolem473(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18961) = _u18965) | ( _u18961 = hAPP(hAPP(c_List_Oappend(_u18957), skolem474(_u18965, _u18963, _u18961, _u18959, _u18957)), _u18965)) )).
% 13.06/13.33 cnf(matrix-7583, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18958), _u18960), _u18962) = hAPP(hAPP(c_List_Oappend(_u18958), _u18964), _u18966)) | ( _u18960 != hAPP(hAPP(c_List_Oappend(_u18958), _u18964), _u18955)) | ( hAPP(hAPP(c_List_Oappend(_u18958), _u18955), _u18962) != _u18966) )).
% 13.06/13.33 cnf(matrix-7584, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18958), _u18960), _u18962) = hAPP(hAPP(c_List_Oappend(_u18958), _u18964), _u18966)) | ( hAPP(hAPP(c_List_Oappend(_u18958), _u18960), _u18956) != _u18964) | ( _u18962 != hAPP(hAPP(c_List_Oappend(_u18958), _u18956), _u18966)) )).
% 13.06/13.33 cnf(matrix-7585, plain, ( ( _u18975 = _u18977) | ( hAPP(hAPP(c_List_Oappend(_u18971), _u18973), _u18975) != hAPP(hAPP(c_List_Oappend(_u18971), _u18973), _u18977)) )).
% 13.06/13.33 cnf(matrix-7586, plain, ( ( _u18976 != _u18978) | ( hAPP(hAPP(c_List_Oappend(_u18972), _u18974), _u18976) = hAPP(hAPP(c_List_Oappend(_u18972), _u18974), _u18978)) )).
% 13.06/13.33 cnf(matrix-7587, plain, ( ( _u18985 = _u18989) | ( hAPP(hAPP(c_List_Oappend(_u18983), _u18985), _u18987) != hAPP(hAPP(c_List_Oappend(_u18983), _u18989), _u18987)) )).
% 13.06/13.33 cnf(matrix-7588, plain, ( ( _u18986 != _u18990) | ( hAPP(hAPP(c_List_Oappend(_u18984), _u18986), _u18988) = hAPP(hAPP(c_List_Oappend(_u18984), _u18990), _u18988)) )).
% 13.06/13.33 cnf(matrix-7589, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18991), _u18992), _u18993) != _u18994) | ( _u18995 != hAPP(hAPP(c_List_Oappend(_u18991), _u18993), _u18996)) | ( hAPP(hAPP(c_List_Oappend(_u18991), _u18992), _u18995) = hAPP(hAPP(c_List_Oappend(_u18991), _u18994), _u18996)) )).
% 13.06/13.33 cnf(matrix-7590, plain, ( ( hAPP(c_List_Oset(_u18997), hAPP(hAPP(c_List_Oappend(_u18997), _u18998), _u18999)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18997, tc_HOL_Obool)), hAPP(c_List_Oset(_u18997), _u18998)), hAPP(c_List_Oset(_u18997), _u18999))) )).
% 13.06/13.33 cnf(matrix-7591, plain, ( ~class_Groups_Omonoid__add(_u19000) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19000), hAPP(hAPP(c_List_Oappend(_u19000), _u19001), _u19002)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19000), hAPP(c_List_Omonoid__add__class_Olistsum(_u19000), _u19001)), hAPP(c_List_Omonoid__add__class_Olistsum(_u19000), _u19002))) )).
% 13.06/13.33 cnf(matrix-7592, plain, ( ( _u19003 != _u19004) | ( _u19003 = hAPP(hAPP(c_List_Oappend(_u19005), c_List_Olist_ONil(_u19005)), _u19004)) )).
% 13.06/13.33 cnf(matrix-7593, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19009), _u19011), _u19013) != _u19013) | ( _u19011 = c_List_Olist_ONil(_u19009)) )).
% 13.06/13.33 cnf(matrix-7594, plain, ( ( _u19012 != c_List_Olist_ONil(_u19010)) | ( hAPP(hAPP(c_List_Oappend(_u19010), _u19012), _u19014) = _u19014) )).
% 13.06/13.33 cnf(matrix-7595, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19018), _u19020), _u19022) != _u19020) | ( _u19022 = c_List_Olist_ONil(_u19018)) )).
% 13.06/13.33 cnf(matrix-7596, plain, ( ( _u19023 != c_List_Olist_ONil(_u19019)) | ( hAPP(hAPP(c_List_Oappend(_u19019), _u19021), _u19023) = _u19021) )).
% 13.06/13.33 cnf(matrix-7597, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19027), _u19029), _u19031) != c_List_Olist_ONil(_u19027)) | ( _u19029 = c_List_Olist_ONil(_u19027)) )).
% 13.06/13.33 cnf(matrix-7598, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19027), _u19029), _u19031) != c_List_Olist_ONil(_u19027)) | ( _u19031 = c_List_Olist_ONil(_u19027)) )).
% 13.06/13.33 cnf(matrix-7599, plain, ( ( _u19030 != c_List_Olist_ONil(_u19028)) | ( _u19032 != c_List_Olist_ONil(_u19028)) | ( hAPP(hAPP(c_List_Oappend(_u19028), _u19030), _u19032) = c_List_Olist_ONil(_u19028)) )).
% 13.06/13.33 cnf(matrix-7600, plain, ( ( _u19040 = c_List_Olist_ONil(_u19038)) | ( _u19036 != hAPP(hAPP(c_List_Oappend(_u19038), _u19040), _u19036)) )).
% 13.06/13.33 cnf(matrix-7601, plain, ( ( _u19041 != c_List_Olist_ONil(_u19039)) | ( _u19037 = hAPP(hAPP(c_List_Oappend(_u19039), _u19041), _u19037)) )).
% 13.06/13.33 cnf(matrix-7602, plain, ( ( _u19049 = c_List_Olist_ONil(_u19047)) | ( _u19045 != hAPP(hAPP(c_List_Oappend(_u19047), _u19045), _u19049)) )).
% 13.06/13.33 cnf(matrix-7603, plain, ( ( _u19050 != c_List_Olist_ONil(_u19048)) | ( _u19046 = hAPP(hAPP(c_List_Oappend(_u19048), _u19046), _u19050)) )).
% 13.06/13.33 cnf(matrix-7604, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19051), _u19052), c_List_Olist_ONil(_u19051)) = _u19052) )).
% 13.06/13.33 cnf(matrix-7605, plain, ( ( c_List_Olist_ONil(_u19056) != hAPP(hAPP(c_List_Oappend(_u19056), _u19058), _u19060)) | ( _u19058 = c_List_Olist_ONil(_u19056)) )).
% 13.06/13.33 cnf(matrix-7606, plain, ( ( c_List_Olist_ONil(_u19056) != hAPP(hAPP(c_List_Oappend(_u19056), _u19058), _u19060)) | ( _u19060 = c_List_Olist_ONil(_u19056)) )).
% 13.06/13.33 cnf(matrix-7607, plain, ( ( _u19059 != c_List_Olist_ONil(_u19057)) | ( _u19061 != c_List_Olist_ONil(_u19057)) | ( c_List_Olist_ONil(_u19057) = hAPP(hAPP(c_List_Oappend(_u19057), _u19059), _u19061)) )).
% 13.06/13.33 cnf(matrix-7608, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19062), c_List_Olist_ONil(_u19062)), _u19063) = _u19063) )).
% 13.06/13.33 cnf(matrix-7609, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19064), tc_List_Olist(_u19064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19064), tc_List_Olist(_u19064)), _u19065), _u19066)), c_List_Olexord(_u19064, _u19067))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19064), tc_List_Olist(_u19064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19064), tc_List_Olist(_u19064)), hAPP(hAPP(c_List_Oappend(_u19064), _u19068), _u19065)), hAPP(hAPP(c_List_Oappend(_u19064), _u19068), _u19066))), c_List_Olexord(_u19064, _u19067))) )).
% 13.06/13.33 cnf(matrix-7610, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19072), hAPP(hAPP(c_List_Oappend(_u19072), _u19074), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19072), _u19074)) )).
% 13.06/13.33 cnf(matrix-7611, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19072), hAPP(hAPP(c_List_Oappend(_u19072), _u19074), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19072), _u19076)) )).
% 13.06/13.33 cnf(matrix-7612, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19072), hAPP(hAPP(c_List_Oappend(_u19072), _u19074), _u19076))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19072, tc_HOL_Obool)), hAPP(c_List_Oset(_u19072), _u19074)), hAPP(c_List_Oset(_u19072), _u19076)) = c_Orderings_Obot__class_Obot(tc_fun(_u19072, tc_HOL_Obool))) )).
% 13.06/13.33 cnf(matrix-7613, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19073), _u19075)) | ~hBOOL(hAPP(c_List_Odistinct(_u19073), _u19077)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19073, tc_HOL_Obool)), hAPP(c_List_Oset(_u19073), _u19075)), hAPP(c_List_Oset(_u19073), _u19077)) != c_Orderings_Obot__class_Obot(tc_fun(_u19073, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u19073), hAPP(hAPP(c_List_Oappend(_u19073), _u19075), _u19077))) )).
% 13.06/13.33 cnf(matrix-7614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19082), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19084)), _u19086))) | ( hAPP(hAPP(c_List_Onth(_u19084), hAPP(hAPP(c_List_Oappend(_u19084), _u19086), _u19088)), _u19082) = hAPP(hAPP(c_List_Onth(_u19084), _u19086), _u19082)) )).
% 13.06/13.33 cnf(matrix-7615, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19083), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19085)), _u19087))) | ( hAPP(hAPP(c_List_Onth(_u19085), hAPP(hAPP(c_List_Oappend(_u19085), _u19087), _u19089)), _u19083) = hAPP(hAPP(c_List_Onth(_u19085), _u19089), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19083), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19085)), _u19087)))) )).
% 13.06/13.33 cnf(matrix-7616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19095), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19097)), _u19099))) | ( hAPP(hAPP(c_List_Olist__update(_u19097, hAPP(hAPP(c_List_Oappend(_u19097), _u19099), _u19101)), _u19095), _u19103) = hAPP(hAPP(c_List_Oappend(_u19097), hAPP(hAPP(c_List_Olist__update(_u19097, _u19099), _u19095), _u19103)), _u19101)) )).
% 13.06/13.33 cnf(matrix-7617, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19096), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19098)), _u19100))) | ( hAPP(hAPP(c_List_Olist__update(_u19098, hAPP(hAPP(c_List_Oappend(_u19098), _u19100), _u19102)), _u19096), _u19104) = hAPP(hAPP(c_List_Oappend(_u19098), _u19100), hAPP(hAPP(c_List_Olist__update(_u19098, _u19102), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19096), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19098)), _u19100))), _u19104))) )).
% 13.06/13.33 cnf(matrix-7618, plain, ( ( c_List_Osublist(_u19105, hAPP(hAPP(c_List_Oappend(_u19105), _u19106), _u19107), _u19108) = hAPP(hAPP(c_List_Oappend(_u19105), c_List_Osublist(_u19105, _u19106, _u19108)), c_List_Osublist(_u19105, _u19107, 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(_u19105)), _u19106)))), _u19108))))) )).
% 13.06/13.33 cnf(matrix-7619, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19109, _u19109)), hAPP(hAPP(c_Product__Type_OPair(_u19109, _u19109), _u19110), _u19111)), _u19112)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19109), tc_List_Olist(_u19109))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19109), tc_List_Olist(_u19109)), hAPP(hAPP(c_List_Oappend(_u19109), _u19113), hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19110), _u19114))), hAPP(hAPP(c_List_Oappend(_u19109), _u19113), hAPP(hAPP(c_List_Olist_OCons(_u19109), _u19111), _u19115)))), c_List_Olexord(_u19109, _u19112))) )).
% 13.06/13.33 cnf(matrix-7620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19116), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19117)), _u19118))) | ( hAPP(hAPP(c_List_Otake(_u19117), hAPP(c_Nat_OSuc, _u19116)), _u19118) = hAPP(hAPP(c_List_Oappend(_u19117), hAPP(hAPP(c_List_Otake(_u19117), _u19116), _u19118)), hAPP(hAPP(c_List_Olist_OCons(_u19117), hAPP(hAPP(c_List_Onth(_u19117), _u19118), _u19116)), c_List_Olist_ONil(_u19117)))) )).
% 13.06/13.33 cnf(matrix-7621, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), _u19127), _u19131)), c_List_Olistrel1(_u19125, _u19135))) | ( _u19127 = _u19131) )).
% 13.06/13.33 cnf(matrix-7622, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), _u19127), _u19131)), c_List_Olistrel1(_u19125, _u19135))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19125, _u19125)), hAPP(hAPP(c_Product__Type_OPair(_u19125, _u19125), _u19129), _u19133)), _u19135)) )).
% 13.06/13.33 cnf(matrix-7623, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | ( _u19129 = _u19133) | ( _u19127 = _u19131) )).
% 13.06/13.33 cnf(matrix-7624, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19125), tc_List_Olist(_u19125))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19125), tc_List_Olist(_u19125)), hAPP(hAPP(c_List_Oappend(_u19125), _u19127), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19129), c_List_Olist_ONil(_u19125)))), hAPP(hAPP(c_List_Oappend(_u19125), _u19131), hAPP(hAPP(c_List_Olist_OCons(_u19125), _u19133), c_List_Olist_ONil(_u19125))))), c_List_Olistrel1(_u19125, _u19135))) | ( _u19129 = _u19133) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19125, _u19125)), hAPP(hAPP(c_Product__Type_OPair(_u19125, _u19125), _u19129), _u19133)), _u19135)) )).
% 13.06/13.33 cnf(matrix-7625, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19126), tc_List_Olist(_u19126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19126), tc_List_Olist(_u19126)), hAPP(hAPP(c_List_Oappend(_u19126), _u19128), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19130), c_List_Olist_ONil(_u19126)))), hAPP(hAPP(c_List_Oappend(_u19126), _u19132), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19134), c_List_Olist_ONil(_u19126))))), c_List_Olistrel1(_u19126, _u19136))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19126), tc_List_Olist(_u19126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19126), tc_List_Olist(_u19126)), _u19128), _u19132)), c_List_Olistrel1(_u19126, _u19136))) | ( _u19130 != _u19134) )).
% 13.06/13.33 cnf(matrix-7626, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19126), tc_List_Olist(_u19126))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19126), tc_List_Olist(_u19126)), hAPP(hAPP(c_List_Oappend(_u19126), _u19128), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19130), c_List_Olist_ONil(_u19126)))), hAPP(hAPP(c_List_Oappend(_u19126), _u19132), hAPP(hAPP(c_List_Olist_OCons(_u19126), _u19134), c_List_Olist_ONil(_u19126))))), c_List_Olistrel1(_u19126, _u19136))) | ( _u19128 != _u19132) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19126, _u19126)), hAPP(hAPP(c_Product__Type_OPair(_u19126, _u19126), _u19130), _u19134)), _u19136)) )).
% 13.06/13.33 cnf(matrix-7627, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19138), tc_List_Olist(_u19138))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19138), tc_List_Olist(_u19138)), hAPP(hAPP(c_List_Oappend(_u19138), _u19139), _u19140)), hAPP(hAPP(c_List_Oappend(_u19138), _u19139), _u19141))), c_List_Olexord(_u19138, _u19142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19138, _u19138)), hAPP(hAPP(c_Product__Type_OPair(_u19138, _u19138), skolem475(_u19142, _u19141, _u19140, _u19139, _u19138)), skolem475(_u19142, _u19141, _u19140, _u19139, _u19138))), _u19142)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19138), tc_List_Olist(_u19138))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19138), tc_List_Olist(_u19138)), _u19140), _u19141)), c_List_Olexord(_u19138, _u19142))) )).
% 13.06/13.33 cnf(matrix-7628, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19143), _u19144), c_Wellfounded_Oacc(_u19143, _u19145))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19143)), _u19146), c_Wellfounded_Oacc(tc_List_Olist(_u19143), c_List_Olistrel1(_u19143, _u19145)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19143)), hAPP(hAPP(c_List_Olist_OCons(_u19143), _u19144), _u19146)), c_Wellfounded_Oacc(tc_List_Olist(_u19143), c_List_Olistrel1(_u19143, _u19145)))) )).
% 13.06/13.33 cnf(matrix-7629, plain, ( ( c_List_Olistrel1(_u19147, hAPP(c_Relation_Oconverse(_u19147, _u19147), _u19148)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u19147), tc_List_Olist(_u19147)), c_List_Olistrel1(_u19147, _u19148))) )).
% 13.06/13.33 cnf(matrix-7630, plain, ( ( c_List_Olistrel(_u19149, c_Transitive__Closure_Ortrancl(_u19149, _u19150)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19149), c_List_Olistrel1(_u19149, _u19150))) )).
% 13.06/13.33 cnf(matrix-7631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19151, _u19151), tc_HOL_Obool)), _u19152), _u19153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19151), tc_List_Olist(_u19151)), tc_HOL_Obool)), c_List_Olistrel1(_u19151, _u19152)), c_List_Olistrel1(_u19151, _u19153))) )).
% 13.06/13.33 cnf(matrix-7632, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19154), tc_List_Olist(_u19154)), tc_HOL_Obool)), c_List_Olistrel1(_u19154, c_Transitive__Closure_Ortrancl(_u19154, _u19155))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19154), c_List_Olistrel1(_u19154, _u19155)))) )).
% 13.06/13.33 cnf(matrix-7633, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19156), tc_List_Olist(_u19156)), tc_HOL_Obool)), c_List_Olistrel(_u19156, _u19157)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19156), c_List_Olistrel1(_u19156, _u19157)))) )).
% 13.06/13.33 cnf(matrix-7634, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19158), tc_List_Olist(_u19158))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19158), tc_List_Olist(_u19158)), _u19159), _u19160)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19158), c_List_Olistrel1(_u19158, _u19161)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19158), tc_List_Olist(_u19158))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19158), tc_List_Olist(_u19158)), hAPP(hAPP(c_List_Olist_OCons(_u19158), _u19162), _u19159)), hAPP(hAPP(c_List_Olist_OCons(_u19158), _u19162), _u19160))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19158), c_List_Olistrel1(_u19158, _u19161)))) )).
% 13.06/13.33 cnf(matrix-7635, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19163), tc_List_Olist(_u19163))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19163), tc_List_Olist(_u19163)), _u19164), _u19165)), c_List_Olistrel1(_u19163, _u19166))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19163), tc_List_Olist(_u19163))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19163), tc_List_Olist(_u19163)), hAPP(hAPP(c_List_Olist_OCons(_u19163), _u19167), _u19164)), hAPP(hAPP(c_List_Olist_OCons(_u19163), _u19167), _u19165))), c_List_Olistrel1(_u19163, _u19166))) )).
% 13.06/13.33 cnf(matrix-7636, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19168), tc_List_Olist(_u19168))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19168), tc_List_Olist(_u19168)), _u19169), _u19170)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19168), c_List_Olistrel1(_u19168, _u19171)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19168)), _u19169) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19168)), _u19170)) )).
% 13.06/13.33 cnf(matrix-7637, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19172), tc_List_Olist(_u19172))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19172), tc_List_Olist(_u19172)), _u19173), _u19174)), c_List_Olistrel1(_u19172, _u19175))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19172)), _u19173) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19172)), _u19174)) )).
% 13.06/13.33 cnf(matrix-7638, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19176), tc_List_Olist(_u19176))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19176), tc_List_Olist(_u19176)), c_List_Olist_ONil(_u19176)), _u19177)), c_List_Olistrel1(_u19176, _u19178))) )).
% 13.06/13.33 cnf(matrix-7639, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19179), tc_List_Olist(_u19179))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19179), tc_List_Olist(_u19179)), _u19180), c_List_Olist_ONil(_u19179))), c_List_Olistrel1(_u19179, _u19181))) )).
% 13.06/13.33 cnf(matrix-7640, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), hAPP(hAPP(c_List_Oappend(_u19182), _u19183), _u19186)), hAPP(hAPP(c_List_Oappend(_u19182), _u19184), _u19187))), c_List_Olistrel1(_u19182, _u19185))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), _u19183), _u19184)), c_List_Olistrel1(_u19182, _u19185))) | ( _u19186 != _u19187) )).
% 13.06/13.33 cnf(matrix-7641, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), hAPP(hAPP(c_List_Oappend(_u19182), _u19183), _u19186)), hAPP(hAPP(c_List_Oappend(_u19182), _u19184), _u19187))), c_List_Olistrel1(_u19182, _u19185))) | ( _u19183 != _u19184) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19182), tc_List_Olist(_u19182))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), _u19186), _u19187)), c_List_Olistrel1(_u19182, _u19185))) )).
% 13.06/13.33 cnf(matrix-7642, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19192), tc_List_Olist(_u19192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19192), tc_List_Olist(_u19192)), _u19194), _u19196)), c_List_Olistrel1(_u19192, hAPP(c_Relation_Oconverse(_u19192, _u19192), _u19198)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19192), tc_List_Olist(_u19192))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19192), tc_List_Olist(_u19192)), _u19194), _u19196)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19192), tc_List_Olist(_u19192)), c_List_Olistrel1(_u19192, _u19198)))) )).
% 13.06/13.33 cnf(matrix-7643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19193), tc_List_Olist(_u19193))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19193), tc_List_Olist(_u19193)), _u19195), _u19197)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19193), tc_List_Olist(_u19193)), c_List_Olistrel1(_u19193, _u19199)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19193), tc_List_Olist(_u19193))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19193), tc_List_Olist(_u19193)), _u19195), _u19197)), c_List_Olistrel1(_u19193, hAPP(c_Relation_Oconverse(_u19193, _u19193), _u19199)))) )).
% 13.06/13.33 cnf(matrix-7644, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19200), tc_List_Olist(_u19200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19200), tc_List_Olist(_u19200)), _u19201), _u19202)), c_List_Olistrel(_u19200, _u19203))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19200), tc_List_Olist(_u19200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19200), tc_List_Olist(_u19200)), _u19201), _u19202)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19200), c_List_Olistrel1(_u19200, _u19203)))) )).
% 13.06/13.33 cnf(matrix-7645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19204), tc_List_Olist(_u19204))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19204), tc_List_Olist(_u19204)), _u19205), _u19206)), c_List_Olistrel1(_u19204, _u19207))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19204), tc_List_Olist(_u19204))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19204), tc_List_Olist(_u19204)), _u19205), _u19206)), c_List_Olistrel(_u19204, c_Transitive__Closure_Ortrancl(_u19204, _u19207)))) )).
% 13.06/13.33 cnf(matrix-7646, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19208, _u19208)), hAPP(hAPP(c_Product__Type_OPair(_u19208, _u19208), _u19209), _u19210)), _u19211)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19208), tc_List_Olist(_u19208))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19208), tc_List_Olist(_u19208)), hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19209), _u19212)), hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19210), _u19212))), c_List_Olistrel1(_u19208, _u19211))) )).
% 13.06/13.33 cnf(matrix-7647, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19219, _u19219)), hAPP(hAPP(c_Product__Type_OPair(_u19219, _u19219), _u19221), _u19225)), _u19229)) | ( _u19221 = _u19225) )).
% 13.06/13.33 cnf(matrix-7648, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19219, _u19219)), hAPP(hAPP(c_Product__Type_OPair(_u19219, _u19219), _u19221), _u19225)), _u19229)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), _u19223), _u19227)), c_List_Olistrel1(_u19219, _u19229))) )).
% 13.06/13.33 cnf(matrix-7649, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | ( _u19223 = _u19227) | ( _u19221 = _u19225) )).
% 13.06/13.33 cnf(matrix-7650, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)), hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19225), _u19227))), c_List_Olistrel1(_u19219, _u19229))) | ( _u19223 = _u19227) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19219), tc_List_Olist(_u19219))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19219), tc_List_Olist(_u19219)), _u19223), _u19227)), c_List_Olistrel1(_u19219, _u19229))) )).
% 13.06/13.33 cnf(matrix-7651, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19220), tc_List_Olist(_u19220))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19220), tc_List_Olist(_u19220)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19222), _u19224)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19226), _u19228))), c_List_Olistrel1(_u19220, _u19230))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19220, _u19220)), hAPP(hAPP(c_Product__Type_OPair(_u19220, _u19220), _u19222), _u19226)), _u19230)) | ( _u19224 != _u19228) )).
% 13.06/13.33 cnf(matrix-7652, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19220), tc_List_Olist(_u19220))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19220), tc_List_Olist(_u19220)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19222), _u19224)), hAPP(hAPP(c_List_Olist_OCons(_u19220), _u19226), _u19228))), c_List_Olistrel1(_u19220, _u19230))) | ( _u19222 != _u19226) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19220), tc_List_Olist(_u19220))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19220), tc_List_Olist(_u19220)), _u19224), _u19228)), c_List_Olistrel1(_u19220, _u19230))) )).
% 13.06/13.33 cnf(matrix-7653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19231, _u19231), tc_HOL_Obool)), _u19232), _u19233)) | ~c_Relation_Orefl__on(_u19231, c_Orderings_Otop__class_Otop(tc_fun(_u19231, tc_HOL_Obool)), _u19233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19231), tc_List_Olist(_u19231)), tc_HOL_Obool)), c_List_Olistrel1(_u19231, _u19232)), c_List_Olistrel(_u19231, _u19233))) )).
% 13.06/13.33 cnf(matrix-7654, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19234, _u19234)), hAPP(hAPP(c_Product__Type_OPair(_u19234, _u19234), _u19235), _u19236)), _u19237)) | ( _u19238 != hAPP(hAPP(c_List_Oappend(_u19234), _u19239), hAPP(hAPP(c_List_Olist_OCons(_u19234), _u19235), _u19240))) | ( _u19241 != hAPP(hAPP(c_List_Oappend(_u19234), _u19239), hAPP(hAPP(c_List_Olist_OCons(_u19234), _u19236), _u19240))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19234), tc_List_Olist(_u19234))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19234), tc_List_Olist(_u19234)), _u19238), _u19241)), c_List_Olistrel1(_u19234, _u19237))) )).
% 13.06/13.33 cnf(matrix-7655, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19242, _u19242)), hAPP(hAPP(c_Product__Type_OPair(_u19242, _u19242), _u19243), _u19244)), c_Transitive__Closure_Ortrancl(_u19242, _u19245))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19242), tc_List_Olist(_u19242))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19242), tc_List_Olist(_u19242)), _u19246), _u19247)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19242), c_List_Olistrel1(_u19242, _u19245)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19242), tc_List_Olist(_u19242))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19242), tc_List_Olist(_u19242)), hAPP(hAPP(c_List_Olist_OCons(_u19242), _u19243), _u19246)), hAPP(hAPP(c_List_Olist_OCons(_u19242), _u19244), _u19247))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19242), c_List_Olistrel1(_u19242, _u19245)))) )).
% 13.06/13.33 cnf(matrix-7656, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19256), tc_List_Olist(_u19256))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19256), tc_List_Olist(_u19256)), _u19258), _u19260)), c_List_Olistrel1(_u19256, _u19262))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19256, _u19256)), hAPP(hAPP(c_Product__Type_OPair(_u19256, _u19256), hAPP(hAPP(c_List_Onth(_u19256), _u19258), skolem477(_u19262, _u19260, _u19258, _u19256))), skolem476(_u19262, _u19260, _u19258, _u19256))), _u19262)) )).
% 13.06/13.33 cnf(matrix-7657, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19256), tc_List_Olist(_u19256))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19256), tc_List_Olist(_u19256)), _u19258), _u19260)), c_List_Olistrel1(_u19256, _u19262))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u19262, _u19260, _u19258, _u19256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19256)), _u19258))) )).
% 13.06/13.33 cnf(matrix-7658, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19256), tc_List_Olist(_u19256))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19256), tc_List_Olist(_u19256)), _u19258), _u19260)), c_List_Olistrel1(_u19256, _u19262))) | ( _u19260 = hAPP(hAPP(c_List_Olist__update(_u19256, _u19258), skolem477(_u19262, _u19260, _u19258, _u19256)), skolem476(_u19262, _u19260, _u19258, _u19256))) )).
% 13.06/13.33 cnf(matrix-7659, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19257, _u19257)), hAPP(hAPP(c_Product__Type_OPair(_u19257, _u19257), hAPP(hAPP(c_List_Onth(_u19257), _u19259), _u19250)), _u19251)), _u19263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19250), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19257)), _u19259))) | ( _u19261 != hAPP(hAPP(c_List_Olist__update(_u19257, _u19259), _u19250), _u19251)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19257), tc_List_Olist(_u19257))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19257), tc_List_Olist(_u19257)), _u19259), _u19261)), c_List_Olistrel1(_u19257, _u19263))) )).
% 13.06/13.33 cnf(matrix-7660, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19268), tc_List_Olist(_u19268))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19268), tc_List_Olist(_u19268)), _u19269), _u19270)), c_List_Olistrel1(_u19268, _u19271))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19268, _u19268)), hAPP(hAPP(c_Product__Type_OPair(_u19268, _u19268), skolem478(_u19271, _u19270, _u19269, _u19268)), skolem479(_u19271, _u19270, _u19269, _u19268))), _u19271)) )).
% 13.06/13.33 cnf(matrix-7661, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19268), tc_List_Olist(_u19268))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19268), tc_List_Olist(_u19268)), _u19269), _u19270)), c_List_Olistrel1(_u19268, _u19271))) | ( _u19269 = hAPP(hAPP(c_List_Oappend(_u19268), skolem480(_u19271, _u19270, _u19269, _u19268)), hAPP(hAPP(c_List_Olist_OCons(_u19268), skolem478(_u19271, _u19270, _u19269, _u19268)), skolem481(_u19271, _u19270, _u19269, _u19268)))) )).
% 13.06/13.33 cnf(matrix-7662, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19268), tc_List_Olist(_u19268))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19268), tc_List_Olist(_u19268)), _u19269), _u19270)), c_List_Olistrel1(_u19268, _u19271))) | ( _u19270 = hAPP(hAPP(c_List_Oappend(_u19268), skolem480(_u19271, _u19270, _u19269, _u19268)), hAPP(hAPP(c_List_Olist_OCons(_u19268), skolem479(_u19271, _u19270, _u19269, _u19268)), skolem481(_u19271, _u19270, _u19269, _u19268)))) )).
% 13.06/13.33 cnf(matrix-7663, plain, ( ( hAPP(c_List_Orotate1(_u19272), _u19273) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19272), _u19272, c_List_Olist_ONil(_u19272), hAPP(hAPP(c_COMBB(tc_List_Olist(_u19272), tc_fun(tc_List_Olist(_u19272), tc_List_Olist(_u19272)), _u19272), hAPP(c_COMBC(tc_List_Olist(_u19272), tc_List_Olist(_u19272), tc_List_Olist(_u19272)), c_List_Oappend(_u19272))), hAPP(hAPP(c_COMBC(_u19272, tc_List_Olist(_u19272), tc_List_Olist(_u19272)), c_List_Olist_OCons(_u19272)), c_List_Olist_ONil(_u19272)))), _u19273)) )).
% 13.06/13.33 cnf(matrix-7664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19274), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19275)), _u19276))) | ( hAPP(hAPP(c_List_Olist__update(_u19275, _u19276), _u19274), _u19277) = hAPP(hAPP(c_List_Oappend(_u19275), hAPP(hAPP(c_List_Otake(_u19275), _u19274), _u19276)), hAPP(hAPP(c_List_Olist_OCons(_u19275), _u19277), hAPP(hAPP(c_List_Odrop(_u19275), hAPP(c_Nat_OSuc, _u19274)), _u19276)))) )).
% 13.06/13.33 cnf(matrix-7665, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19278), _u19279), hAPP(hAPP(c_List_Oappend(_u19278), _u19280), _u19281)) = hAPP(hAPP(c_List_Oappend(_u19278), hAPP(hAPP(c_List_Odrop(_u19278), _u19279), _u19280)), hAPP(hAPP(c_List_Odrop(_u19278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19279), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19278)), _u19280))), _u19281))) )).
% 13.06/13.33 cnf(matrix-7666, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19282), _u19283), c_List_Olist_ONil(_u19282)) = c_List_Olist_ONil(_u19282)) )).
% 13.06/13.33 cnf(matrix-7667, plain, ( ( hAPP(c_List_Orotate1(_u19286), _u19288) != c_List_Olist_ONil(_u19286)) | ( _u19288 = c_List_Olist_ONil(_u19286)) )).
% 13.06/13.33 cnf(matrix-7668, plain, ( ( _u19289 != c_List_Olist_ONil(_u19287)) | ( hAPP(c_List_Orotate1(_u19287), _u19289) = c_List_Olist_ONil(_u19287)) )).
% 13.06/13.33 cnf(matrix-7669, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19290), _u19291), hAPP(hAPP(c_List_Otake(_u19290), _u19292), _u19293)) = hAPP(hAPP(c_List_Otake(_u19290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19292), _u19291)), hAPP(hAPP(c_List_Odrop(_u19290), _u19291), _u19293))) )).
% 13.06/13.33 cnf(matrix-7670, plain, ( ( hAPP(hAPP(c_List_Otake(_u19294), _u19295), hAPP(hAPP(c_List_Odrop(_u19294), _u19296), _u19297)) = hAPP(hAPP(c_List_Odrop(_u19294), _u19296), hAPP(hAPP(c_List_Otake(_u19294), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19295), _u19296)), _u19297))) )).
% 13.06/13.33 cnf(matrix-7671, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19298), _u19299), hAPP(c_List_Oset(_u19298), hAPP(hAPP(c_List_Odrop(_u19298), _u19300), _u19301)))) | hBOOL(hAPP(hAPP(c_member(_u19298), _u19299), hAPP(c_List_Oset(_u19298), _u19301))) )).
% 13.06/13.33 cnf(matrix-7672, plain, ( ( hAPP(c_List_Oset(_u19302), hAPP(c_List_Orotate1(_u19302), _u19303)) = hAPP(c_List_Oset(_u19302), _u19303)) )).
% 13.06/13.33 cnf(matrix-7673, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19304, tc_HOL_Obool)), hAPP(c_List_Oset(_u19304), hAPP(hAPP(c_List_Odrop(_u19304), _u19305), _u19306))), hAPP(c_List_Oset(_u19304), _u19306))) )).
% 13.06/13.33 cnf(matrix-7674, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19309), hAPP(c_List_Orotate1(_u19309), _u19311))) | hBOOL(hAPP(c_List_Odistinct(_u19309), _u19311)) )).
% 13.06/13.33 cnf(matrix-7675, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19310), _u19312)) | hBOOL(hAPP(c_List_Odistinct(_u19310), hAPP(c_List_Orotate1(_u19310), _u19312))) )).
% 13.06/13.33 cnf(matrix-7676, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19313), _u19314)) | hBOOL(hAPP(c_List_Odistinct(_u19313), hAPP(hAPP(c_List_Odrop(_u19313), _u19315), _u19314))) )).
% 13.06/13.33 cnf(matrix-7677, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19316), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u19317) = _u19317) )).
% 13.06/13.33 cnf(matrix-7678, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19318), _u19319), hAPP(hAPP(c_List_Odrop(_u19318), _u19320), _u19321)) = hAPP(hAPP(c_List_Odrop(_u19318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19319), _u19320)), _u19321)) )).
% 13.06/13.33 cnf(matrix-7679, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u19322, _u19323)), _u19324), hAPP(hAPP(c_List_Ozip(_u19322, _u19323), _u19325), _u19326)) = hAPP(hAPP(c_List_Ozip(_u19322, _u19323), hAPP(hAPP(c_List_Odrop(_u19322), _u19324), _u19325)), hAPP(hAPP(c_List_Odrop(_u19323), _u19324), _u19326))) )).
% 13.06/13.33 cnf(matrix-7680, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19327), _u19328), hAPP(hAPP(c_List_Omap(_u19329, _u19327), _u19330), _u19331)) = hAPP(hAPP(c_List_Omap(_u19329, _u19327), _u19330), hAPP(hAPP(c_List_Odrop(_u19329), _u19328), _u19331))) )).
% 13.06/13.33 cnf(matrix-7681, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19332)), hAPP(c_List_Orotate1(_u19332), _u19333)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19332)), _u19333)) )).
% 13.06/13.33 cnf(matrix-7682, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19334)), hAPP(hAPP(c_List_Odrop(_u19334), _u19335), _u19336)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19334)), _u19336)), _u19335)) )).
% 13.06/13.33 cnf(matrix-7683, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19337), hAPP(c_Nat_OSuc, _u19338)), hAPP(hAPP(c_List_Olist_OCons(_u19337), _u19339), _u19340)) = hAPP(hAPP(c_List_Odrop(_u19337), _u19338), _u19340)) )).
% 13.06/13.33 cnf(matrix-7684, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19341), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u19341), _u19342), _u19343)) = _u19343) )).
% 13.06/13.33 cnf(matrix-7685, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19344), _u19345), _u19346) != hAPP(hAPP(c_List_Olist_OCons(_u19344), _u19347), _u19348)) | ( hAPP(hAPP(c_List_Onth(_u19344), _u19346), _u19345) = _u19347) )).
% 13.06/13.33 cnf(matrix-7686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19349)), _u19350)), _u19351)) | ( hAPP(hAPP(c_List_Odrop(_u19349), _u19351), _u19350) = c_List_Olist_ONil(_u19349)) )).
% 13.06/13.33 cnf(matrix-7687, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19355), _u19357), _u19359) != c_List_Olist_ONil(_u19355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19355)), _u19359)), _u19357)) )).
% 13.06/13.33 cnf(matrix-7688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19356)), _u19360)), _u19358)) | ( hAPP(hAPP(c_List_Odrop(_u19356), _u19358), _u19360) = c_List_Olist_ONil(_u19356)) )).
% 13.06/13.33 cnf(matrix-7689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19361), _u19362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19363, tc_HOL_Obool)), hAPP(c_List_Oset(_u19363), hAPP(hAPP(c_List_Odrop(_u19363), _u19362), _u19364))), hAPP(c_List_Oset(_u19363), hAPP(hAPP(c_List_Odrop(_u19363), _u19361), _u19364)))) )).
% 13.06/13.33 cnf(matrix-7690, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19365), hAPP(hAPP(c_List_Otake(_u19365), _u19366), _u19367)), hAPP(hAPP(c_List_Odrop(_u19365), _u19366), _u19367)) = _u19367) )).
% 13.06/13.33 cnf(matrix-7691, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19372), _u19374), _u19376) != _u19378) | ( _u19374 = hAPP(hAPP(c_List_Otake(_u19372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19372)), _u19374)), _u19378)) )).
% 13.06/13.33 cnf(matrix-7692, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19372), _u19374), _u19376) != _u19378) | ( _u19376 = hAPP(hAPP(c_List_Odrop(_u19372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19372)), _u19374)), _u19378)) )).
% 13.06/13.33 cnf(matrix-7693, plain, ( ( _u19375 != hAPP(hAPP(c_List_Otake(_u19373), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19373)), _u19375)), _u19379)) | ( _u19377 != hAPP(hAPP(c_List_Odrop(_u19373), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19373)), _u19375)), _u19379)) | ( hAPP(hAPP(c_List_Oappend(_u19373), _u19375), _u19377) = _u19379) )).
% 13.06/13.33 cnf(matrix-7694, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19380), _u19381), hAPP(hAPP(c_List_Olist_OCons(_u19380), _u19382), _u19383)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u19380), hAPP(hAPP(c_List_Olist_OCons(_u19380), _u19382), _u19383), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u19380), tc_List_Olist(_u19380)), c_List_Odrop(_u19380)), _u19383), _u19381)) )).
% 13.06/13.33 cnf(matrix-7695, plain, ( ( _u19388 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19390), _u19388), hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394)) = hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394)) )).
% 13.06/13.33 cnf(matrix-7696, plain, ( ( _u19389 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19391), _u19389), hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19395)) = hAPP(hAPP(c_List_Odrop(_u19391), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19389), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19395)) )).
% 13.06/13.33 cnf(matrix-7697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19396), _u19397)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19398)), _u19399))) | ( hAPP(hAPP(c_List_Onth(_u19398), hAPP(hAPP(c_List_Odrop(_u19398), _u19396), _u19399)), _u19397) = hAPP(hAPP(c_List_Onth(_u19398), _u19399), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19396), _u19397))) )).
% 13.06/13.33 cnf(matrix-7698, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( _u19407 = hAPP(hAPP(c_List_Otake(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), _u19411)) )).
% 13.06/13.33 cnf(matrix-7699, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( _u19409 = hAPP(hAPP(c_List_Oappend(_u19405), hAPP(hAPP(c_List_Odrop(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), _u19411)), _u19413)) )).
% 13.06/13.33 cnf(matrix-7700, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( hAPP(hAPP(c_List_Otake(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411)), _u19407) = _u19411) )).
% 13.06/13.33 cnf(matrix-7701, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19405), _u19407), _u19409) != hAPP(hAPP(c_List_Oappend(_u19405), _u19411), _u19413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19407)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411))) | ( hAPP(hAPP(c_List_Oappend(_u19405), hAPP(hAPP(c_List_Odrop(_u19405), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19405)), _u19411)), _u19407)), _u19409) = _u19413) )).
% 13.06/13.33 cnf(matrix-7702, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19406), _u19408), _u19410) = hAPP(hAPP(c_List_Oappend(_u19406), _u19412), _u19414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412))) | ( hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408) != _u19412) | ( hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408)), _u19410) != _u19414) )).
% 13.06/13.33 cnf(matrix-7703, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19406), _u19408), _u19410) = hAPP(hAPP(c_List_Oappend(_u19406), _u19412), _u19414)) | ( _u19408 != hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)) | ( _u19410 != hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)), _u19414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412))) )).
% 13.06/13.33 cnf(matrix-7704, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19406), _u19408), _u19410) = hAPP(hAPP(c_List_Oappend(_u19406), _u19412), _u19414)) | ( _u19408 != hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)) | ( _u19410 != hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19408)), _u19412)), _u19414)) | ( hAPP(hAPP(c_List_Otake(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408) != _u19412) | ( hAPP(hAPP(c_List_Oappend(_u19406), hAPP(hAPP(c_List_Odrop(_u19406), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19406)), _u19412)), _u19408)), _u19410) != _u19414) )).
% 13.06/13.33 cnf(matrix-7705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19415), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19416)), _u19417))) | ( hAPP(hAPP(c_List_Olist_OCons(_u19416), hAPP(hAPP(c_List_Onth(_u19416), _u19417), _u19415)), hAPP(hAPP(c_List_Odrop(_u19416), hAPP(c_Nat_OSuc, _u19415)), _u19417)) = hAPP(hAPP(c_List_Odrop(_u19416), _u19415), _u19417)) )).
% 13.06/13.33 cnf(matrix-7706, plain, ( ( hAPP(c_List_Orotate1(_u19418), c_List_Olist_ONil(_u19418)) = c_List_Olist_ONil(_u19418)) )).
% 13.06/13.33 cnf(matrix-7707, plain, ( ( hAPP(c_List_Orotate1(_u19419), hAPP(hAPP(c_List_Olist_OCons(_u19419), _u19420), _u19421)) = hAPP(hAPP(c_List_Oappend(_u19419), _u19421), hAPP(hAPP(c_List_Olist_OCons(_u19419), _u19420), c_List_Olist_ONil(_u19419)))) )).
% 13.06/13.33 cnf(matrix-7708, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19426) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19428), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19426)), hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19430), _u19432)) = hAPP(hAPP(c_List_Olist_OCons(_u19428), _u19430), _u19432)) )).
% 13.06/13.33 cnf(matrix-7709, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19427) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u19429), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19427)), hAPP(hAPP(c_List_Olist_OCons(_u19429), _u19431), _u19433)) = hAPP(hAPP(c_List_Odrop(_u19429), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19427)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19433)) )).
% 13.06/13.33 cnf(matrix-7710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19434), _u19435)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19436)), _u19437))) | ( hAPP(hAPP(c_List_Otake(_u19436), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19434), _u19435)), _u19437) = hAPP(hAPP(c_List_Oappend(_u19436), hAPP(hAPP(c_List_Otake(_u19436), _u19434), _u19437)), hAPP(hAPP(c_List_Otake(_u19436), _u19435), hAPP(hAPP(c_List_Odrop(_u19436), _u19434), _u19437)))) )).
% 13.06/13.33 cnf(matrix-7711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19438)), _u19439)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u19438), _u19439) = _u19439) )).
% 13.06/13.33 cnf(matrix-7712, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19440, _u19441), hAPP(hAPP(c_List_Oappend(_u19440), _u19442), _u19443)), _u19444) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19440, _u19441)), hAPP(hAPP(c_List_Ozip(_u19440, _u19441), _u19442), hAPP(hAPP(c_List_Otake(_u19441), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19440)), _u19442)), _u19444))), hAPP(hAPP(c_List_Ozip(_u19440, _u19441), _u19443), hAPP(hAPP(c_List_Odrop(_u19441), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19440)), _u19442)), _u19444)))) )).
% 13.06/13.33 cnf(matrix-7713, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19445, _u19446), _u19447), hAPP(hAPP(c_List_Oappend(_u19446), _u19448), _u19449)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u19445, _u19446)), hAPP(hAPP(c_List_Ozip(_u19445, _u19446), hAPP(hAPP(c_List_Otake(_u19445), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19446)), _u19448)), _u19447)), _u19448)), hAPP(hAPP(c_List_Ozip(_u19445, _u19446), hAPP(hAPP(c_List_Odrop(_u19445), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19446)), _u19448)), _u19447)), _u19449))) )).
% 13.06/13.33 cnf(matrix-7714, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19450), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19451)), _u19452))) | ( _u19452 = hAPP(hAPP(c_List_Oappend(_u19451), hAPP(hAPP(c_List_Otake(_u19451), _u19450), _u19452)), hAPP(hAPP(c_List_Olist_OCons(_u19451), hAPP(hAPP(c_List_Onth(_u19451), _u19452), _u19450)), hAPP(hAPP(c_List_Odrop(_u19451), hAPP(c_Nat_OSuc, _u19450)), _u19452)))) )).
% 13.06/13.33 cnf(matrix-7715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19453), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19454)), _u19455))) | ( hAPP(hAPP(c_List_Oappend(_u19454), hAPP(hAPP(c_List_Otake(_u19454), _u19453), _u19455)), hAPP(hAPP(c_List_Olist_OCons(_u19454), hAPP(c_List_Ohd(_u19454), hAPP(hAPP(c_List_Odrop(_u19454), _u19453), _u19455))), c_List_Olist_ONil(_u19454))) = hAPP(hAPP(c_List_Otake(_u19454), hAPP(c_Nat_OSuc, _u19453)), _u19455)) )).
% 13.06/13.33 cnf(matrix-7716, plain, ( ( _u19456 = c_List_Olist_ONil(_u19457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19458), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19457)), _u19456))) | ( hAPP(c_List_Ohd(_u19457), hAPP(hAPP(c_List_Odrop(_u19457), _u19458), _u19456)) = hAPP(hAPP(c_List_Onth(_u19457), _u19456), _u19458)) )).
% 13.06/13.33 cnf(matrix-7717, plain, ( ( _u19459 = c_List_Olist_ONil(_u19460)) | ( hAPP(c_List_Ohd(_u19460), hAPP(hAPP(c_List_Oappend(_u19460), _u19459), _u19461)) = hAPP(c_List_Ohd(_u19460), _u19459)) )).
% 13.06/13.33 cnf(matrix-7718, plain, ( ( _u19465 != c_List_Olist_ONil(_u19467)) | ( hAPP(c_List_Ohd(_u19467), hAPP(hAPP(c_List_Oappend(_u19467), _u19465), _u19469)) = hAPP(c_List_Ohd(_u19467), _u19469)) )).
% 13.06/13.33 cnf(matrix-7719, plain, ( ( _u19466 = c_List_Olist_ONil(_u19468)) | ( hAPP(c_List_Ohd(_u19468), hAPP(hAPP(c_List_Oappend(_u19468), _u19466), _u19470)) = hAPP(c_List_Ohd(_u19468), _u19466)) )).
% 13.06/13.33 cnf(matrix-7720, plain, ( ( hAPP(c_List_Ohd(_u19471), hAPP(hAPP(c_List_Olist_OCons(_u19471), _u19472), _u19473)) = _u19472) )).
% 13.06/13.33 cnf(matrix-7721, plain, ( ( _u19474 = c_List_Olist_ONil(_u19475)) | ( hAPP(c_List_Ohd(_u19476), hAPP(hAPP(c_List_Omap(_u19475, _u19476), _u19477), _u19474)) = hAPP(_u19477, hAPP(c_List_Ohd(_u19475), _u19474))) )).
% 13.06/13.33 cnf(matrix-7722, plain, ( ( _u19478 = c_List_Olist_ONil(_u19479)) | hBOOL(hAPP(hAPP(c_member(_u19479), hAPP(c_List_Ohd(_u19479), _u19478)), hAPP(c_List_Oset(_u19479), _u19478))) )).
% 13.06/13.33 cnf(matrix-7723, plain, ( ( _u19480 = c_List_Olist_ONil(_u19481)) | ( hAPP(c_List_Ohd(_u19481), _u19480) = hAPP(hAPP(c_List_Onth(_u19481), _u19480), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.33 cnf(matrix-7724, plain, ( ( _u19482 = c_List_Olist_ONil(_u19483)) | ( hAPP(c_List_Orotate1(_u19483), _u19482) = hAPP(hAPP(c_List_Oappend(_u19483), hAPP(c_List_Otl(_u19483), _u19482)), hAPP(hAPP(c_List_Olist_OCons(_u19483), hAPP(c_List_Ohd(_u19483), _u19482)), c_List_Olist_ONil(_u19483)))) )).
% 13.06/13.33 cnf(matrix-7725, plain, ( ( _u19484 = c_List_Olist_ONil(_u19485)) | ( hAPP(c_List_Ohd(_u19485), hAPP(c_List_Orotate(_u19485, _u19486), _u19484)) = hAPP(hAPP(c_List_Onth(_u19485), _u19484), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19486, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19485)), _u19484)))) )).
% 13.06/13.33 cnf(matrix-7726, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19487), hAPP(c_Nat_OSuc, _u19488)), _u19489) = hAPP(hAPP(c_List_Odrop(_u19487), _u19488), hAPP(c_List_Otl(_u19487), _u19489))) )).
% 13.06/13.33 cnf(matrix-7727, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19490), _u19491), hAPP(c_List_Otl(_u19490), _u19492)) = hAPP(c_List_Otl(_u19490), hAPP(hAPP(c_List_Odrop(_u19490), _u19491), _u19492))) )).
% 13.06/13.33 cnf(matrix-7728, plain, ( ( hAPP(c_List_Otl(_u19493), hAPP(hAPP(c_List_Odrop(_u19493), _u19494), _u19495)) = hAPP(hAPP(c_List_Odrop(_u19493), _u19494), hAPP(c_List_Otl(_u19493), _u19495))) )).
% 13.06/13.33 cnf(matrix-7729, plain, ( ( hAPP(c_List_Otl(_u19496), c_List_Olist_ONil(_u19496)) = c_List_Olist_ONil(_u19496)) )).
% 13.06/13.33 cnf(matrix-7730, plain, ( ( hAPP(c_List_Orotate(_u19500, _u19502), _u19504) != c_List_Olist_ONil(_u19500)) | ( _u19504 = c_List_Olist_ONil(_u19500)) )).
% 13.06/13.33 cnf(matrix-7731, plain, ( ( _u19505 != c_List_Olist_ONil(_u19501)) | ( hAPP(c_List_Orotate(_u19501, _u19503), _u19505) = c_List_Olist_ONil(_u19501)) )).
% 13.06/13.33 cnf(matrix-7732, plain, ( ( hAPP(hAPP(c_List_Otake(_u19506), _u19507), hAPP(c_List_Otl(_u19506), _u19508)) = hAPP(c_List_Otl(_u19506), hAPP(hAPP(c_List_Otake(_u19506), hAPP(c_Nat_OSuc, _u19507)), _u19508))) )).
% 13.06/13.33 cnf(matrix-7733, plain, ( ( hAPP(c_List_Oset(_u19509), hAPP(c_List_Orotate(_u19509, _u19510), _u19511)) = hAPP(c_List_Oset(_u19509), _u19511)) )).
% 13.06/13.33 cnf(matrix-7734, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19515), hAPP(c_List_Orotate(_u19515, _u19517), _u19519))) | hBOOL(hAPP(c_List_Odistinct(_u19515), _u19519)) )).
% 13.06/13.33 cnf(matrix-7735, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19516), _u19520)) | hBOOL(hAPP(c_List_Odistinct(_u19516), hAPP(c_List_Orotate(_u19516, _u19518), _u19520))) )).
% 13.06/13.33 cnf(matrix-7736, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19521), _u19522)) | hBOOL(hAPP(c_List_Odistinct(_u19521), hAPP(c_List_Otl(_u19521), _u19522))) )).
% 13.06/13.33 cnf(matrix-7737, plain, ( ( hAPP(c_List_Orotate(_u19523, _u19524), hAPP(c_List_Orotate(_u19523, _u19525), _u19526)) = hAPP(c_List_Orotate(_u19523, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19524), _u19525)), _u19526)) )).
% 13.06/13.33 cnf(matrix-7738, plain, ( ( hAPP(c_List_Orotate(_u19527, _u19528), hAPP(hAPP(c_List_Omap(_u19529, _u19527), _u19530), _u19531)) = hAPP(hAPP(c_List_Omap(_u19529, _u19527), _u19530), hAPP(c_List_Orotate(_u19529, _u19528), _u19531))) )).
% 13.06/13.33 cnf(matrix-7739, plain, ( ( hAPP(hAPP(c_List_Omap(_u19532, _u19533), _u19534), hAPP(c_List_Otl(_u19532), _u19535)) = hAPP(c_List_Otl(_u19533), hAPP(hAPP(c_List_Omap(_u19532, _u19533), _u19534), _u19535))) )).
% 13.06/13.33 cnf(matrix-7740, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19536)), hAPP(c_List_Orotate(_u19536, _u19537), _u19538)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19536)), _u19538)) )).
% 13.06/13.33 cnf(matrix-7741, plain, ( ( hAPP(c_List_Orotate(_u19539, _u19540), _u19541) = hAPP(c_List_Orotate(_u19539, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19540, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19539)), _u19541))), _u19541)) )).
% 13.06/13.33 cnf(matrix-7742, plain, ( ( hAPP(c_List_Otl(_u19542), hAPP(hAPP(c_List_Olist_OCons(_u19542), _u19543), _u19544)) = _u19544) )).
% 13.06/13.33 cnf(matrix-7743, plain, ( ( _u19545 = c_List_Olist_ONil(_u19546)) | ( hAPP(c_List_Otl(_u19546), hAPP(hAPP(c_List_Oappend(_u19546), _u19545), _u19547)) = hAPP(hAPP(c_List_Oappend(_u19546), hAPP(c_List_Otl(_u19546), _u19545)), _u19547)) )).
% 13.06/13.33 cnf(matrix-7744, plain, ( ( hAPP(c_List_Orotate1(_u19548), hAPP(c_List_Orotate(_u19548, _u19549), _u19550)) = hAPP(c_List_Orotate(_u19548, _u19549), hAPP(c_List_Orotate1(_u19548), _u19550))) )).
% 13.06/13.33 cnf(matrix-7745, plain, ( ( hAPP(c_List_Orotate(_u19551, hAPP(c_Nat_OSuc, _u19552)), _u19553) = hAPP(c_List_Orotate1(_u19551), hAPP(c_List_Orotate(_u19551, _u19552), _u19553))) )).
% 13.06/13.33 cnf(matrix-7746, plain, ( ( c_List_Orotate(_u19554, _u19555) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u19554), tc_List_Olist(_u19554)), _u19555), c_List_Orotate1(_u19554))) )).
% 13.06/13.33 cnf(matrix-7747, plain, ( ( hAPP(c_List_Otl(_u19556), hAPP(hAPP(c_List_Oappend(_u19556), _u19557), _u19558)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u19556), _u19556, hAPP(c_List_Otl(_u19556), _u19558), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19556), tc_List_Olist(_u19556)), _u19556), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19556), tc_List_Olist(_u19556), tc_List_Olist(_u19556)), c_List_Oappend(_u19556)), _u19558))), _u19557)) )).
% 13.06/13.33 cnf(matrix-7748, plain, ( ( c_List_Orotate(_u19559, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u19559))) )).
% 13.06/13.33 cnf(matrix-7749, plain, ( ( c_List_Orotate(_u19560, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19561), _u19562)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u19560), tc_List_Olist(_u19560), tc_List_Olist(_u19560), c_List_Orotate(_u19560, _u19561)), c_List_Orotate(_u19560, _u19562))) )).
% 13.06/13.33 cnf(matrix-7750, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19563, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19564)), _u19565)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u19564, _u19563), _u19565) = _u19565) )).
% 13.06/13.33 cnf(matrix-7751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19566)), _u19567)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u19566, _u19568), _u19567) = _u19567) )).
% 13.06/13.33 cnf(matrix-7752, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19569)), hAPP(c_List_Otl(_u19569), _u19570)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19569)), _u19570)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.33 cnf(matrix-7753, plain, ( ( hAPP(c_List_Otl(_u19571), hAPP(hAPP(c_List_Otake(_u19571), _u19572), _u19573)) = hAPP(hAPP(c_List_Otake(_u19571), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19572), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u19571), _u19573))) )).
% 13.06/13.33 cnf(matrix-7754, plain, ( ( _u19574 = c_List_Olist_ONil(_u19575)) | ( hAPP(hAPP(c_List_Otake(_u19575), hAPP(c_Nat_OSuc, _u19576)), _u19574) = hAPP(hAPP(c_List_Olist_OCons(_u19575), hAPP(c_List_Ohd(_u19575), _u19574)), hAPP(hAPP(c_List_Otake(_u19575), _u19576), hAPP(c_List_Otl(_u19575), _u19574)))) )).
% 13.06/13.33 cnf(matrix-7755, plain, ( ( hAPP(c_List_Orotate(_u19577, _u19578), _u19579) = hAPP(hAPP(c_List_Oappend(_u19577), hAPP(hAPP(c_List_Odrop(_u19577), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19578, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19577)), _u19579))), _u19579)), hAPP(hAPP(c_List_Otake(_u19577), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19578, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19577)), _u19579))), _u19579))) )).
% 13.06/13.33 cnf(matrix-7756, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19580) | ( _u19581 = c_List_Olist_ONil(_u19580)) | ( hAPP(c_Finite__Set_Ofold1(_u19580, c_Groups_Otimes__class_Otimes(_u19580)), hAPP(c_List_Oset(_u19580), _u19581)) = hAPP(c_List_Ofoldl(_u19580, _u19580, c_Groups_Otimes__class_Otimes(_u19580), hAPP(c_List_Ohd(_u19580), _u19581)), hAPP(c_List_Otl(_u19580), _u19581))) )).
% 13.06/13.33 cnf(matrix-7757, plain, ( ( c_List_Olist_Olist__size(_u19582, _u19583, hAPP(hAPP(c_List_Olist_OCons(_u19582), _u19584), _u19585)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19583, _u19584)), c_List_Olist_Olist__size(_u19582, _u19583, _u19585))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.33 cnf(matrix-7758, plain, ( ( hAPP(c_List_Ofoldl(_u19586, _u19587, _u19588, _u19589), hAPP(hAPP(c_List_Oappend(_u19587), _u19590), _u19591)) = hAPP(c_List_Ofoldl(_u19586, _u19587, _u19588, hAPP(c_List_Ofoldl(_u19586, _u19587, _u19588, _u19589), _u19590)), _u19591)) )).
% 13.06/13.33 cnf(matrix-7759, plain, ( ( hAPP(c_List_Ofoldl(_u19592, _u19593, _u19594, _u19595), hAPP(hAPP(c_List_Olist_OCons(_u19593), _u19596), _u19597)) = hAPP(c_List_Ofoldl(_u19592, _u19593, _u19594, hAPP(hAPP(_u19594, _u19595), _u19596)), _u19597)) )).
% 13.06/13.33 cnf(matrix-7760, plain, ( ( hAPP(c_List_Ofoldl(_u19598, _u19599, _u19600, _u19601), hAPP(hAPP(c_List_Omap(_u19602, _u19599), _u19603), _u19604)) = hAPP(c_List_Ofoldl(_u19598, _u19602, hAPP(hAPP(c_COMBC(_u19598, tc_fun(_u19602, _u19599), tc_fun(_u19602, _u19598)), hAPP(hAPP(c_COMBB(tc_fun(_u19599, _u19598), tc_fun(tc_fun(_u19602, _u19599), tc_fun(_u19602, _u19598)), _u19598), c_COMBB(_u19599, _u19598, _u19602)), _u19600)), _u19603), _u19601), _u19604)) )).
% 13.06/13.34 cnf(matrix-7761, plain, ( ( c_List_Olist_Olist__size(_u19605, _u19606, hAPP(hAPP(c_List_Omap(_u19607, _u19605), _u19608), _u19609)) = c_List_Olist_Olist__size(_u19607, hAPP(c_Fun_Ocomp(_u19605, tc_Nat_Onat, _u19607, _u19606), _u19608), _u19609)) )).
% 13.06/13.34 cnf(matrix-7762, plain, ( ~class_Groups_Oab__semigroup__add(_u19610) | ( c_List_Ofoldr(_u19610, _u19610, c_Groups_Oplus__class_Oplus(_u19610), _u19611, _u19612) = hAPP(c_List_Ofoldl(_u19610, _u19610, c_Groups_Oplus__class_Oplus(_u19610), _u19612), _u19611)) )).
% 13.06/13.34 cnf(matrix-7763, plain, ( ~class_Groups_Osemigroup__add(_u19613) | ( hAPP(c_List_Ofoldl(_u19613, _u19613, c_Groups_Oplus__class_Oplus(_u19613), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19613), _u19614), _u19615)), _u19616) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19613), _u19614), hAPP(c_List_Ofoldl(_u19613, _u19613, c_Groups_Oplus__class_Oplus(_u19613), _u19615), _u19616))) )).
% 13.06/13.34 cnf(matrix-7764, plain, ( ~class_Groups_Omonoid__add(_u19617) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19617), _u19618), hAPP(c_List_Ofoldl(_u19617, _u19617, c_Groups_Oplus__class_Oplus(_u19617), c_Groups_Ozero__class_Ozero(_u19617)), _u19619)) = hAPP(c_List_Ofoldl(_u19617, _u19617, c_Groups_Oplus__class_Oplus(_u19617), _u19618), _u19619)) )).
% 13.06/13.34 cnf(matrix-7765, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19620), _u19621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19620), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19621), _u19622))) )).
% 13.06/13.34 cnf(matrix-7766, plain, ( ( hAPP(c_List_Ofoldl(_u19623, _u19624, _u19625, _u19626), c_List_Olist_ONil(_u19624)) = _u19626) )).
% 13.06/13.34 cnf(matrix-7767, plain, ( ~class_Groups_Omonoid__add(_u19627) | ( c_List_Omonoid__add__class_Olistsum(_u19627) = c_List_Ofoldl(_u19627, _u19627, c_Groups_Oplus__class_Oplus(_u19627), c_Groups_Ozero__class_Ozero(_u19627))) )).
% 13.06/13.34 cnf(matrix-7768, plain, ( ~class_Groups_Omonoid__add(_u19628) | ( hAPP(c_List_Ofoldl(_u19628, _u19628, c_Groups_Oplus__class_Oplus(_u19628), c_Groups_Ozero__class_Ozero(_u19628)), _u19629) = c_List_Ofoldr(_u19628, _u19628, c_Groups_Oplus__class_Oplus(_u19628), _u19629, c_Groups_Ozero__class_Ozero(_u19628))) )).
% 13.06/13.34 cnf(matrix-7769, plain, ( ~class_Groups_Omonoid__add(_u19630) | ( hAPP(c_List_Ofoldl(_u19630, _u19630, c_Groups_Oplus__class_Oplus(_u19630), _u19631), _u19632) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19630), _u19631), c_List_Ofoldr(_u19630, _u19630, c_Groups_Oplus__class_Oplus(_u19630), _u19632, c_Groups_Ozero__class_Ozero(_u19630)))) )).
% 13.06/13.34 cnf(matrix-7770, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19637), _u19639) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19637 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7771, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19637), _u19639) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19633), hAPP(c_List_Oset(tc_Nat_Onat), _u19639))) | ( _u19633 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7772, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19638), _u19640) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19638 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem482(_u19640, _u19638)), hAPP(c_List_Oset(tc_Nat_Onat), _u19640))) )).
% 13.06/13.34 cnf(matrix-7773, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19638), _u19640) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19638 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem482(_u19640, _u19638) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7774, plain, ( ( c_List_Olist_Olist__size(_u19641, _u19642, c_List_Olist_ONil(_u19641)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7775, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19643, _u19644, _u19645) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19643, _u19644, _u19645), _u19646), hAPP(c_List_Oset(_u19643), _u19647)) = hAPP(c_List_Ofoldl(_u19644, _u19643, hAPP(c_COMBC(_u19643, _u19644, _u19644), _u19645), _u19646), _u19647)) )).
% 13.06/13.34 cnf(matrix-7776, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19648) | ( c_Complete__Lattice_OSup__class_OSup(_u19648, hAPP(c_List_Oset(_u19648), _u19649)) = hAPP(c_List_Ofoldl(_u19648, _u19648, c_Lattices_Osemilattice__sup__class_Osup(_u19648), c_Orderings_Obot__class_Obot(_u19648)), _u19649)) )).
% 13.06/13.34 cnf(matrix-7777, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19650) | ( c_Complete__Lattice_OInf__class_OInf(_u19650, hAPP(c_List_Oset(_u19650), _u19651)) = hAPP(c_List_Ofoldl(_u19650, _u19650, c_Lattices_Osemilattice__inf__class_Oinf(_u19650), c_Orderings_Otop__class_Otop(_u19650)), _u19651)) )).
% 13.06/13.34 cnf(matrix-7778, plain, ( ~class_Lattices_Olattice(_u19652) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19652, hAPP(c_List_Oset(_u19652), hAPP(hAPP(c_List_Olist_OCons(_u19652), _u19653), _u19654))) = hAPP(c_List_Ofoldl(_u19652, _u19652, c_Lattices_Osemilattice__sup__class_Osup(_u19652), _u19653), _u19654)) )).
% 13.06/13.34 cnf(matrix-7779, plain, ( ~class_Lattices_Olattice(_u19655) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19655, hAPP(c_List_Oset(_u19655), hAPP(hAPP(c_List_Olist_OCons(_u19655), _u19656), _u19657))) = hAPP(c_List_Ofoldl(_u19655, _u19655, c_Lattices_Osemilattice__inf__class_Oinf(_u19655), _u19656), _u19657)) )).
% 13.06/13.34 cnf(matrix-7780, plain, ( ~class_Orderings_Olinorder(_u19658) | ( c_Big__Operators_Olinorder__class_OMin(_u19658, hAPP(c_List_Oset(_u19658), hAPP(hAPP(c_List_Olist_OCons(_u19658), _u19659), _u19660))) = hAPP(c_List_Ofoldl(_u19658, _u19658, c_Orderings_Oord__class_Omin(_u19658), _u19659), _u19660)) )).
% 13.06/13.34 cnf(matrix-7781, plain, ( ~class_Orderings_Olinorder(_u19661) | ( c_Big__Operators_Olinorder__class_OMax(_u19661, hAPP(c_List_Oset(_u19661), hAPP(hAPP(c_List_Olist_OCons(_u19661), _u19662), _u19663))) = hAPP(c_List_Ofoldl(_u19661, _u19661, c_Orderings_Oord__class_Omax(_u19661), _u19662), _u19663)) )).
% 13.06/13.34 cnf(matrix-7782, plain, ( ~class_Orderings_Olinorder(_u19664) | ( c_Big__Operators_Olattice_OInf__fin(_u19664, c_Orderings_Oord__class_Omin(_u19664), hAPP(c_List_Oset(_u19664), hAPP(hAPP(c_List_Olist_OCons(_u19664), _u19665), _u19666))) = hAPP(c_List_Ofoldl(_u19664, _u19664, c_Orderings_Oord__class_Omin(_u19664), _u19665), _u19666)) )).
% 13.06/13.34 cnf(matrix-7783, plain, ( ~class_Orderings_Olinorder(_u19667) | ( c_Big__Operators_Olattice_OSup__fin(_u19667, c_Orderings_Oord__class_Omax(_u19667), hAPP(c_List_Oset(_u19667), hAPP(hAPP(c_List_Olist_OCons(_u19667), _u19668), _u19669))) = hAPP(c_List_Ofoldl(_u19667, _u19667, c_Orderings_Oord__class_Omax(_u19667), _u19668), _u19669)) )).
% 13.06/13.34 cnf(matrix-7784, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19670) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19671, _u19670), hAPP(c_List_Oset(_u19671), _u19672)), _u19673) = hAPP(c_List_Ofoldl(_u19670, _u19671, hAPP(c_COMBC(_u19671, _u19670, _u19670), hAPP(hAPP(c_COMBB(_u19670, tc_fun(_u19670, _u19670), _u19671), c_Lattices_Osemilattice__sup__class_Osup(_u19670)), _u19673)), c_Orderings_Obot__class_Obot(_u19670)), _u19672)) )).
% 13.06/13.34 cnf(matrix-7785, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19674) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19675, _u19674), hAPP(c_List_Oset(_u19675), _u19676)), _u19677) = hAPP(c_List_Ofoldl(_u19674, _u19675, hAPP(c_COMBC(_u19675, _u19674, _u19674), hAPP(hAPP(c_COMBB(_u19674, tc_fun(_u19674, _u19674), _u19675), c_Lattices_Osemilattice__inf__class_Oinf(_u19674)), _u19677)), c_Orderings_Otop__class_Otop(_u19674)), _u19676)) )).
% 13.06/13.34 cnf(matrix-7786, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19678), _u19679), hAPP(c_List_Oset(_u19678), _u19680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19681), hAPP(_u19682, _u19679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19681), c_List_Olist_Olist__size(_u19678, _u19682, _u19680))) )).
% 13.06/13.34 cnf(matrix-7787, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19683), _u19684), hAPP(c_List_Oset(_u19683), _u19685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19686), hAPP(_u19687, _u19684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19686), c_List_Olist_Olist__size(_u19683, _u19687, _u19685))) )).
% 13.06/13.34 cnf(matrix-7788, plain, ( ( c_Map_Omap__upds(_u19688, _u19689, _u19690, _u19691, _u19692) = hAPP(c_List_Ofoldl(tc_fun(_u19688, tc_Option_Ooption(_u19689)), tc_prod(_u19688, _u19689), hAPP(hAPP(c_COMBB(tc_fun(_u19688, tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689)))), tc_fun(tc_prod(_u19688, _u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689))), tc_fun(_u19688, tc_Option_Ooption(_u19689))), c_Product__Type_Oprod_Oprod__case(_u19688, _u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689)))), hAPP(hAPP(c_COMBC(tc_fun(_u19688, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19688, tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), hAPP(hAPP(c_COMBB(tc_fun(_u19688, tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19688, tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), tc_fun(_u19688, tc_Option_Ooption(_u19689))), c_COMBC(_u19688, tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), hAPP(hAPP(c_COMBB(tc_fun(_u19688, tc_fun(tc_Option_Ooption(_u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689)))), tc_fun(_u19688, tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689))))), tc_fun(_u19688, tc_Option_Ooption(_u19689))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689))), tc_fun(tc_fun(_u19689, tc_Option_Ooption(_u19689)), tc_fun(_u19689, tc_fun(_u19688, tc_Option_Ooption(_u19689)))), _u19688), c_COMBB(tc_Option_Ooption(_u19689), tc_fun(_u19688, tc_Option_Ooption(_u19689)), _u19689))), c_Fun_Ofun__upd(_u19688, tc_Option_Ooption(_u19689))))), c_Option_Ooption_OSome(_u19689))), _u19690), hAPP(hAPP(c_List_Ozip(_u19688, _u19689), _u19691), _u19692))) )).
% 13.06/13.34 cnf(matrix-7789, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19693), hAPP(c_List_Oset(tc_Nat_Onat), _u19694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19693), 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)), _u19694))) )).
% 13.06/13.34 cnf(matrix-7790, plain, ( ( c_List_Olist_Olist__size(_u19695, _u19696, _u19697) = 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(_u19695, tc_Nat_Onat), _u19696), _u19697))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19695)), _u19697))) )).
% 13.06/13.34 cnf(matrix-7791, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19698, _u19698), tc_HOL_Obool)), _u19699), hAPP(hAPP(c_Product__Type_OSigma(_u19698, _u19698), _u19700), hAPP(c_COMBK(tc_fun(_u19698, tc_HOL_Obool), _u19698), _u19700)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19698), tc_List_Olist(_u19698)), tc_HOL_Obool)), c_List_Olistrel(_u19698, _u19699)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u19698), tc_List_Olist(_u19698)), c_List_Olists(_u19698, _u19700)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u19698), tc_HOL_Obool), tc_List_Olist(_u19698)), c_List_Olists(_u19698, _u19700))))) )).
% 13.06/13.34 cnf(matrix-7792, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19701)), _u19702), c_Wellfounded_Oacc(tc_List_Olist(_u19701), c_List_Olistrel1(_u19701, _u19703)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19701)), _u19702), c_List_Olists(_u19701, c_Wellfounded_Oacc(_u19701, _u19703)))) )).
% 13.06/13.34 cnf(matrix-7793, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19704)), c_List_Olist_ONil(_u19704)), c_List_Olists(_u19704, _u19705))) )).
% 13.06/13.34 cnf(matrix-7794, plain, ( ~c_Relation_Orefl__on(_u19706, _u19707, _u19708) | c_Relation_Orefl__on(tc_List_Olist(_u19706), c_List_Olists(_u19706, _u19707), c_List_Olistrel(_u19706, _u19708)) )).
% 13.06/13.34 cnf(matrix-7795, plain, ( ( c_List_Olists(_u19709, c_Orderings_Otop__class_Otop(tc_fun(_u19709, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u19709), tc_HOL_Obool))) )).
% 13.06/13.34 cnf(matrix-7796, plain, ( ~c_Equiv__Relations_Oequiv(_u19710, _u19711, _u19712) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u19710), c_List_Olists(_u19710, _u19711), c_List_Olistrel(_u19710, _u19712)) )).
% 13.06/13.34 cnf(matrix-7797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19713, tc_HOL_Obool)), _u19714), _u19715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u19713), tc_HOL_Obool)), c_List_Olists(_u19713, _u19714)), c_List_Olists(_u19713, _u19715))) )).
% 13.06/13.34 cnf(matrix-7798, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), hAPP(hAPP(c_List_Oappend(_u19720), _u19722), _u19724)), c_List_Olists(_u19720, _u19726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), _u19722), c_List_Olists(_u19720, _u19726))) )).
% 13.06/13.34 cnf(matrix-7799, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), hAPP(hAPP(c_List_Oappend(_u19720), _u19722), _u19724)), c_List_Olists(_u19720, _u19726))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19720)), _u19724), c_List_Olists(_u19720, _u19726))) )).
% 13.06/13.34 cnf(matrix-7800, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19721)), _u19723), c_List_Olists(_u19721, _u19727))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19721)), _u19725), c_List_Olists(_u19721, _u19727))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19721)), hAPP(hAPP(c_List_Oappend(_u19721), _u19723), _u19725)), c_List_Olists(_u19721, _u19727))) )).
% 13.06/13.34 cnf(matrix-7801, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19732)), hAPP(hAPP(c_List_Olist_OCons(_u19732), _u19734), _u19736)), c_List_Olists(_u19732, _u19738))) | hBOOL(hAPP(hAPP(c_member(_u19732), _u19734), _u19738)) )).
% 13.06/13.34 cnf(matrix-7802, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19732)), hAPP(hAPP(c_List_Olist_OCons(_u19732), _u19734), _u19736)), c_List_Olists(_u19732, _u19738))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19732)), _u19736), c_List_Olists(_u19732, _u19738))) )).
% 13.06/13.34 cnf(matrix-7803, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19733), _u19735), _u19739)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19733)), _u19737), c_List_Olists(_u19733, _u19739))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19733)), hAPP(hAPP(c_List_Olist_OCons(_u19733), _u19735), _u19737)), c_List_Olists(_u19733, _u19739))) )).
% 13.06/13.34 cnf(matrix-7804, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19745)), _u19747), c_List_Olists(_u19745, _u19749))) | ~hBOOL(hAPP(hAPP(c_member(_u19745), _u19740), hAPP(c_List_Oset(_u19745), _u19747))) | hBOOL(hAPP(hAPP(c_member(_u19745), _u19740), _u19749)) )).
% 13.06/13.34 cnf(matrix-7805, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19746)), _u19748), c_List_Olists(_u19746, _u19750))) | hBOOL(hAPP(hAPP(c_member(_u19746), skolem483(_u19750, _u19748, _u19746)), hAPP(c_List_Oset(_u19746), _u19748))) )).
% 13.06/13.34 cnf(matrix-7806, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19746)), _u19748), c_List_Olists(_u19746, _u19750))) | ~hBOOL(hAPP(hAPP(c_member(_u19746), skolem483(_u19750, _u19748, _u19746)), _u19750)) )).
% 13.06/13.34 cnf(matrix-7807, plain, ( ( c_List_Olists(_u19751, _u19752) = hAPP(c_Set_OCollect(tc_List_Olist(_u19751)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19751), tc_fun(_u19751, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u19751, tc_HOL_Obool), tc_fun(tc_fun(_u19751, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u19751)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u19751, tc_HOL_Obool))), c_List_Oset(_u19751))), _u19752))) )).
% 13.06/13.34 cnf(matrix-7808, plain, ( ( c_List_Olists(_u19753, c_Orderings_Obot__class_Obot(tc_fun(_u19753, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u19753)), c_List_Olist_ONil(_u19753)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u19753), tc_HOL_Obool)))) )).
% 13.06/13.34 cnf(matrix-7809, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19754)), _u19755), c_List_Olists(_u19754, c_Wellfounded_Oacc(_u19754, _u19756)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19754)), _u19755), c_Wellfounded_Oacc(tc_List_Olist(_u19754), c_List_Olistrel1(_u19754, _u19756)))) )).
% 13.06/13.34 cnf(matrix-7810, plain, ( ( _u19759 != hAPP(hAPP(c_List_Olist_OCons(_u19760), _u19758), _u19757)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19760), tc_List_Olist(_u19760))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19760), tc_List_Olist(_u19760)), _u19761), hAPP(hAPP(c_List_Oappend(_u19760), _u19761), _u19759))), c_List_Olexord(_u19760, _u19762))) )).
% 13.06/13.34 cnf(matrix-7811, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19770), tc_List_Olist(_u19770))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19770), tc_List_Olist(_u19770)), c_List_Olist_ONil(_u19770)), _u19772)), c_List_Olexord(_u19770, _u19774))) | ( _u19772 = hAPP(hAPP(c_List_Olist_OCons(_u19770), skolem484(_u19774, _u19772, _u19770)), skolem485(_u19774, _u19772, _u19770))) )).
% 13.06/13.34 cnf(matrix-7812, plain, ( ( _u19773 != hAPP(hAPP(c_List_Olist_OCons(_u19771), _u19766), _u19765)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19771), tc_List_Olist(_u19771))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19771), tc_List_Olist(_u19771)), c_List_Olist_ONil(_u19771)), _u19773)), c_List_Olexord(_u19771, _u19775))) )).
% 13.06/13.34 cnf(matrix-7813, plain, ( ( _u19776 = c_List_Olist_ONil(_u19777)) | ( _u19778 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19777)), _u19776)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19777, hAPP(hAPP(c_List_Olist__update(_u19777, _u19776), _u19778), _u19779)) = _u19779) )).
% 13.06/13.34 cnf(matrix-7814, plain, ( ( _u19776 = c_List_Olist_ONil(_u19777)) | ( _u19778 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19777)), _u19776)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u19777, hAPP(hAPP(c_List_Olist__update(_u19777, _u19776), _u19778), _u19779)) = c_List_Olast(_u19777, _u19776)) )).
% 13.06/13.34 cnf(matrix-7815, plain, ( ~class_Groups_Omonoid__add(_u19781) | ~class_Groups_Oordered__ab__semigroup__add(_u19781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19781), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19784), _u19783))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19785), _u19783)))) | hBOOL(hAPP(hAPP(c_member(_u19782), skolem486(_u19785, _u19784, _u19783, _u19782, _u19781)), hAPP(c_List_Oset(_u19782), _u19783))) )).
% 13.06/13.34 cnf(matrix-7816, plain, ( ~class_Groups_Omonoid__add(_u19781) | ~class_Groups_Oordered__ab__semigroup__add(_u19781) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19781), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19784), _u19783))), hAPP(c_List_Omonoid__add__class_Olistsum(_u19781), hAPP(hAPP(c_List_Omap(_u19782, _u19781), _u19785), _u19783)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19781), hAPP(_u19784, skolem486(_u19785, _u19784, _u19783, _u19782, _u19781))), hAPP(_u19785, skolem486(_u19785, _u19784, _u19783, _u19782, _u19781)))) )).
% 13.06/13.34 cnf(matrix-7817, plain, ( ( _u19789 != c_List_Olist_ONil(_u19791)) | ( c_List_Olast(_u19791, hAPP(hAPP(c_List_Olist_OCons(_u19791), _u19793), _u19789)) = _u19793) )).
% 13.06/13.34 cnf(matrix-7818, plain, ( ( _u19790 = c_List_Olist_ONil(_u19792)) | ( c_List_Olast(_u19792, hAPP(hAPP(c_List_Olist_OCons(_u19792), _u19794), _u19790)) = c_List_Olast(_u19792, _u19790)) )).
% 13.06/13.34 cnf(matrix-7819, plain, ( ( _u19795 = c_List_Olist_ONil(_u19796)) | ( c_List_Olast(_u19796, hAPP(hAPP(c_List_Olist_OCons(_u19796), _u19797), _u19795)) = c_List_Olast(_u19796, _u19795)) )).
% 13.06/13.34 cnf(matrix-7820, plain, ( ( _u19798 != c_List_Olist_ONil(_u19799)) | ( c_List_Olast(_u19799, hAPP(hAPP(c_List_Olist_OCons(_u19799), _u19800), _u19798)) = _u19800) )).
% 13.06/13.34 cnf(matrix-7821, plain, ( ( _u19804 != c_List_Olist_ONil(_u19806)) | ( c_List_Olast(_u19806, hAPP(hAPP(c_List_Oappend(_u19806), _u19808), _u19804)) = c_List_Olast(_u19806, _u19808)) )).
% 13.06/13.34 cnf(matrix-7822, plain, ( ( _u19805 = c_List_Olist_ONil(_u19807)) | ( c_List_Olast(_u19807, hAPP(hAPP(c_List_Oappend(_u19807), _u19809), _u19805)) = c_List_Olast(_u19807, _u19805)) )).
% 13.06/13.34 cnf(matrix-7823, plain, ( ( _u19810 = c_List_Olist_ONil(_u19811)) | ( c_List_Olast(_u19811, hAPP(hAPP(c_List_Oappend(_u19811), _u19812), _u19810)) = c_List_Olast(_u19811, _u19810)) )).
% 13.06/13.34 cnf(matrix-7824, plain, ( ( _u19813 != c_List_Olist_ONil(_u19814)) | ( c_List_Olast(_u19814, hAPP(hAPP(c_List_Oappend(_u19814), _u19815), _u19813)) = c_List_Olast(_u19814, _u19815)) )).
% 13.06/13.34 cnf(matrix-7825, plain, ( ( _u19816 = c_List_Olist_ONil(_u19817)) | ( c_List_Olast(_u19818, hAPP(hAPP(c_List_Omap(_u19817, _u19818), _u19819), _u19816)) = hAPP(_u19819, c_List_Olast(_u19817, _u19816))) )).
% 13.06/13.34 cnf(matrix-7826, plain, ( ( _u19820 = c_List_Olist_ONil(_u19821)) | hBOOL(hAPP(hAPP(c_member(_u19821), c_List_Olast(_u19821, _u19820)), hAPP(c_List_Oset(_u19821), _u19820))) )).
% 13.06/13.34 cnf(matrix-7827, plain, ( ( c_List_Olast(_u19822, hAPP(hAPP(c_List_Oappend(_u19822), _u19823), hAPP(hAPP(c_List_Olist_OCons(_u19822), _u19824), c_List_Olist_ONil(_u19822)))) = _u19824) )).
% 13.06/13.34 cnf(matrix-7828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19825), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19826)), _u19827))) | ( c_List_Olast(_u19826, hAPP(hAPP(c_List_Odrop(_u19826), _u19825), _u19827)) = c_List_Olast(_u19826, _u19827)) )).
% 13.06/13.34 cnf(matrix-7829, plain, ( ( _u19828 = c_List_Olist_ONil(_u19829)) | ( c_List_Olast(_u19829, _u19828) = hAPP(hAPP(c_List_Onth(_u19829), _u19828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19829)), _u19828)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 13.06/13.34 cnf(matrix-7830, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19834), _u19835)), c_List_Olexord(_u19832, _u19833))) | ( _u19834 = _u19835) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19835), _u19834)), c_List_Olexord(_u19832, _u19833))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19832, _u19832)), hAPP(hAPP(c_Product__Type_OPair(_u19832, _u19832), skolem487(_u19835, _u19834, _u19833, _u19832)), skolem488(_u19835, _u19834, _u19833, _u19832))), _u19833)) )).
% 13.06/13.34 cnf(matrix-7831, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19834), _u19835)), c_List_Olexord(_u19832, _u19833))) | ( _u19834 = _u19835) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19835), _u19834)), c_List_Olexord(_u19832, _u19833))) | ( skolem487(_u19835, _u19834, _u19833, _u19832) != skolem488(_u19835, _u19834, _u19833, _u19832)) )).
% 13.06/13.34 cnf(matrix-7832, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19834), _u19835)), c_List_Olexord(_u19832, _u19833))) | ( _u19834 = _u19835) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19832), tc_List_Olist(_u19832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19832), tc_List_Olist(_u19832)), _u19835), _u19834)), c_List_Olexord(_u19832, _u19833))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19832, _u19832)), hAPP(hAPP(c_Product__Type_OPair(_u19832, _u19832), skolem488(_u19835, _u19834, _u19833, _u19832)), skolem487(_u19835, _u19834, _u19833, _u19832))), _u19833)) )).
% 13.06/13.34 cnf(matrix-7833, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19837, _u19837)), hAPP(hAPP(c_Product__Type_OPair(_u19837, _u19837), skolem489(_u19839, _u19838, _u19837)), skolem489(_u19839, _u19838, _u19837))), _u19838)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19837), tc_List_Olist(_u19837))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19837), tc_List_Olist(_u19837)), _u19839), _u19839)), c_List_Olexord(_u19837, _u19838))) )).
% 13.06/13.34 cnf(matrix-7834, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), _u19849), c_List_Olists(_u19847, _u19851))) | ( _u19849 = c_List_Olist_ONil(_u19847)) | hBOOL(hAPP(hAPP(c_member(_u19847), skolem490(_u19851, _u19849, _u19847)), _u19851)) )).
% 13.06/13.34 cnf(matrix-7835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), _u19849), c_List_Olists(_u19847, _u19851))) | ( _u19849 = c_List_Olist_ONil(_u19847)) | ( _u19849 = hAPP(hAPP(c_List_Olist_OCons(_u19847), skolem490(_u19851, _u19849, _u19847)), skolem491(_u19851, _u19849, _u19847))) )).
% 13.06/13.34 cnf(matrix-7836, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), _u19849), c_List_Olists(_u19847, _u19851))) | ( _u19849 = c_List_Olist_ONil(_u19847)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19847)), skolem491(_u19851, _u19849, _u19847)), c_List_Olists(_u19847, _u19851))) )).
% 13.06/13.34 cnf(matrix-7837, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19848)), _u19850), c_List_Olists(_u19848, _u19852))) | ( _u19850 != c_List_Olist_ONil(_u19848)) )).
% 13.06/13.34 cnf(matrix-7838, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19848)), _u19850), c_List_Olists(_u19848, _u19852))) | ~hBOOL(hAPP(hAPP(c_member(_u19848), _u19843), _u19852)) | ( _u19850 != hAPP(hAPP(c_List_Olist_OCons(_u19848), _u19843), _u19842)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19848)), _u19842), c_List_Olists(_u19848, _u19852))) )).
% 13.06/13.34 cnf(matrix-7839, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u19854, _u19856, _u19855)), c_List_Olist_Olist__size(_u19854, _u19857, _u19855))) | hBOOL(hAPP(hAPP(c_member(_u19854), skolem492(_u19857, _u19856, _u19855, _u19854)), hAPP(c_List_Oset(_u19854), _u19855))) )).
% 13.06/13.34 cnf(matrix-7840, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u19854, _u19856, _u19855)), c_List_Olist_Olist__size(_u19854, _u19857, _u19855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19856, skolem492(_u19857, _u19856, _u19855, _u19854))), hAPP(_u19857, skolem492(_u19857, _u19856, _u19855, _u19854)))) )).
% 13.06/13.34 cnf(matrix-7841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19858), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19859)), _u19860))) | ( c_List_Obutlast(_u19859, hAPP(hAPP(c_List_Otake(_u19859), _u19858), _u19860)) = hAPP(hAPP(c_List_Otake(_u19859), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19858), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19860)) )).
% 13.06/13.34 cnf(matrix-7842, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19865))) | ( hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19864) = hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem493(_u19865, _u19864, _u19863, _u19862)), _u19862)) )).
% 13.06/13.34 cnf(matrix-7843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19862), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19863)), _u19865))) | ( hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19864) = hAPP(hAPP(c_List_Otake(_u19863), _u19862), _u19865)) | ( hAPP(hAPP(c_List_Onth(_u19863), _u19864), skolem493(_u19865, _u19864, _u19863, _u19862)) != hAPP(hAPP(c_List_Onth(_u19863), _u19865), skolem493(_u19865, _u19864, _u19863, _u19862))) )).
% 13.06/13.34 cnf(matrix-7844, plain, ( ( hAPP(hAPP(c_List_Omap(_u19866, _u19867), _u19868), c_List_Obutlast(_u19866, _u19869)) = c_List_Obutlast(_u19867, hAPP(hAPP(c_List_Omap(_u19866, _u19867), _u19868), _u19869))) )).
% 13.06/13.34 cnf(matrix-7845, plain, ( ( _u19873 != c_List_Olist_ONil(_u19875)) | ( c_List_Obutlast(_u19875, hAPP(hAPP(c_List_Oappend(_u19875), _u19877), _u19873)) = c_List_Obutlast(_u19875, _u19877)) )).
% 13.06/13.34 cnf(matrix-7846, plain, ( ( _u19874 = c_List_Olist_ONil(_u19876)) | ( c_List_Obutlast(_u19876, hAPP(hAPP(c_List_Oappend(_u19876), _u19878), _u19874)) = hAPP(hAPP(c_List_Oappend(_u19876), _u19878), c_List_Obutlast(_u19876, _u19874))) )).
% 13.06/13.34 cnf(matrix-7847, plain, ( ( _u19882 != c_List_Olist_ONil(_u19884)) | ( c_List_Obutlast(_u19884, hAPP(hAPP(c_List_Olist_OCons(_u19884), _u19886), _u19882)) = c_List_Olist_ONil(_u19884)) )).
% 13.06/13.34 cnf(matrix-7848, plain, ( ( _u19883 = c_List_Olist_ONil(_u19885)) | ( c_List_Obutlast(_u19885, hAPP(hAPP(c_List_Olist_OCons(_u19885), _u19887), _u19883)) = hAPP(hAPP(c_List_Olist_OCons(_u19885), _u19887), c_List_Obutlast(_u19885, _u19883))) )).
% 13.06/13.34 cnf(matrix-7849, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19888), _u19889), hAPP(c_List_Oset(_u19888), c_List_Obutlast(_u19888, _u19890)))) | hBOOL(hAPP(hAPP(c_member(_u19888), _u19889), hAPP(c_List_Oset(_u19888), _u19890))) )).
% 13.06/13.34 cnf(matrix-7850, plain, ( ( _u19891 = c_List_Olist_ONil(_u19892)) | ~hBOOL(hAPP(c_List_Odistinct(_u19892), _u19891)) | hBOOL(hAPP(c_List_Odistinct(_u19892), c_List_Obutlast(_u19892, _u19891))) )).
% 13.06/13.34 cnf(matrix-7851, plain, ( ( c_List_Obutlast(_u19893, c_List_Olist_ONil(_u19893)) = c_List_Olist_ONil(_u19893)) )).
% 13.06/13.34 cnf(matrix-7852, plain, ( ( c_List_Obutlast(_u19894, hAPP(hAPP(c_List_Odrop(_u19894), _u19895), _u19896)) = hAPP(hAPP(c_List_Odrop(_u19894), _u19895), c_List_Obutlast(_u19894, _u19896))) )).
% 13.06/13.34 cnf(matrix-7853, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19897), _u19898), c_List_Obutlast(_u19897, _u19899)) = c_List_Obutlast(_u19897, hAPP(hAPP(c_List_Odrop(_u19897), _u19898), _u19899))) )).
% 13.06/13.34 cnf(matrix-7854, plain, ( hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, hAPP(hAPP(c_List_Oappend(_u19900), _u19902), _u19903))))) | ~hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, _u19902)))) )).
% 13.06/13.34 cnf(matrix-7855, plain, ( hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, hAPP(hAPP(c_List_Oappend(_u19900), _u19902), _u19903))))) | ~hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), hAPP(c_List_Oset(_u19900), c_List_Obutlast(_u19900, _u19903)))) )).
% 13.06/13.34 cnf(matrix-7856, plain, ( ( c_List_Obutlast(_u19904, hAPP(hAPP(c_List_Oappend(_u19904), _u19905), hAPP(hAPP(c_List_Olist_OCons(_u19904), _u19906), c_List_Olist_ONil(_u19904)))) = _u19905) )).
% 13.06/13.34 cnf(matrix-7857, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19907), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19908)), _u19909))) | ( hAPP(hAPP(c_List_Otake(_u19908), _u19907), c_List_Obutlast(_u19908, _u19909)) = hAPP(hAPP(c_List_Otake(_u19908), _u19907), _u19909)) )).
% 13.06/13.34 cnf(matrix-7858, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19910)), c_List_Obutlast(_u19910, _u19911)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19910)), _u19911)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.34 cnf(matrix-7859, plain, ( ( c_List_Obutlast(_u19912, _u19913) = hAPP(hAPP(c_List_Otake(_u19912), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19912)), _u19913)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19913)) )).
% 13.06/13.34 cnf(matrix-7860, plain, ( ( _u19918 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19920)), _u19922)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u19920, hAPP(hAPP(c_List_Olist__update(_u19920, _u19922), _u19918), _u19924)) = c_List_Obutlast(_u19920, _u19922)) )).
% 13.06/13.34 cnf(matrix-7861, plain, ( ( _u19919 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19921)), _u19923)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u19921, hAPP(hAPP(c_List_Olist__update(_u19921, _u19923), _u19919), _u19925)) = hAPP(hAPP(c_List_Olist__update(_u19921, c_List_Obutlast(_u19921, _u19923)), _u19919), _u19925)) )).
% 13.06/13.34 cnf(matrix-7862, plain, ( ( _u19926 = c_List_Olist_ONil(_u19927)) | ( hAPP(hAPP(c_List_Oappend(_u19927), c_List_Obutlast(_u19927, _u19926)), hAPP(hAPP(c_List_Olist_OCons(_u19927), c_List_Olast(_u19927, _u19926)), c_List_Olist_ONil(_u19927))) = _u19926) )).
% 13.06/13.34 cnf(matrix-7863, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19932), _u19934), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19936), c_List_Olist_ONil(_u19932))) != _u19938) | ( _u19938 != c_List_Olist_ONil(_u19932)) )).
% 13.06/13.34 cnf(matrix-7864, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19932), _u19934), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19936), c_List_Olist_ONil(_u19932))) != _u19938) | ( c_List_Obutlast(_u19932, _u19938) = _u19934) )).
% 13.06/13.34 cnf(matrix-7865, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19932), _u19934), hAPP(hAPP(c_List_Olist_OCons(_u19932), _u19936), c_List_Olist_ONil(_u19932))) != _u19938) | ( c_List_Olast(_u19932, _u19938) = _u19936) )).
% 13.06/13.34 cnf(matrix-7866, plain, ( ( _u19939 = c_List_Olist_ONil(_u19933)) | ( c_List_Obutlast(_u19933, _u19939) != _u19935) | ( c_List_Olast(_u19933, _u19939) != _u19937) | ( hAPP(hAPP(c_List_Oappend(_u19933), _u19935), hAPP(hAPP(c_List_Olist_OCons(_u19933), _u19937), c_List_Olist_ONil(_u19933))) = _u19939) )).
% 13.06/13.34 cnf(matrix-7867, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19940)), _u19941))), c_List_Ofoldr(tc_List_Olist(_u19942), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u19942)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19942))), _u19943, 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(_u19940)), _u19941)), c_List_Ofoldr(tc_List_Olist(_u19942), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u19942)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19942), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u19942)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u19942)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u19942), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u19942)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19942), tc_List_Olist(_u19942), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u19942)))), _u19943), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 13.06/13.34 cnf(matrix-7868, plain, ( ( c_List_Opartition(_u19944, _u19945, _u19946) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19944), tc_List_Olist(_u19944)), _u19947), _u19948)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19944, tc_HOL_Obool)), hAPP(c_List_Oset(_u19944), _u19947)), hAPP(c_List_Oset(_u19944), _u19948)) = hAPP(c_List_Oset(_u19944), _u19946)) )).
% 13.06/13.34 cnf(matrix-7869, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19949)), hAPP(c_List_Ofilter(_u19949, _u19950), _u19951))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19949)), _u19951))) )).
% 13.06/13.34 cnf(matrix-7870, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19952, tc_HOL_Obool)), hAPP(c_List_Oset(_u19952), hAPP(c_List_Ofilter(_u19952, _u19953), _u19954))), hAPP(c_List_Oset(_u19952), _u19954))) )).
% 13.06/13.34 cnf(matrix-7871, plain, ( ( hAPP(c_List_Ofilter(_u19955, _u19956), c_List_Olist_ONil(_u19955)) = c_List_Olist_ONil(_u19955)) )).
% 13.06/13.34 cnf(matrix-7872, plain, ( ( hAPP(c_List_Ofilter(_u19962, _u19964), _u19966) != c_List_Olist_ONil(_u19962)) | ~hBOOL(hAPP(hAPP(c_member(_u19962), _u19957), hAPP(c_List_Oset(_u19962), _u19966))) | ~hBOOL(hAPP(_u19964, _u19957)) )).
% 13.06/13.34 cnf(matrix-7873, plain, ( ( hAPP(c_List_Ofilter(_u19963, _u19965), _u19967) = c_List_Olist_ONil(_u19963)) | hBOOL(hAPP(hAPP(c_member(_u19963), skolem494(_u19967, _u19965, _u19963)), hAPP(c_List_Oset(_u19963), _u19967))) )).
% 13.06/13.34 cnf(matrix-7874, plain, ( ( hAPP(c_List_Ofilter(_u19963, _u19965), _u19967) = c_List_Olist_ONil(_u19963)) | hBOOL(hAPP(_u19965, skolem494(_u19967, _u19965, _u19963))) )).
% 13.06/13.34 cnf(matrix-7875, plain, ( ( hAPP(c_List_Ofilter(_u19973, _u19975), _u19977) != _u19977) | ~hBOOL(hAPP(hAPP(c_member(_u19973), _u19968), hAPP(c_List_Oset(_u19973), _u19977))) | hBOOL(hAPP(_u19975, _u19968)) )).
% 13.06/13.34 cnf(matrix-7876, plain, ( ( hAPP(c_List_Ofilter(_u19974, _u19976), _u19978) = _u19978) | hBOOL(hAPP(hAPP(c_member(_u19974), skolem495(_u19978, _u19976, _u19974)), hAPP(c_List_Oset(_u19974), _u19978))) )).
% 13.06/13.34 cnf(matrix-7877, plain, ( ( hAPP(c_List_Ofilter(_u19974, _u19976), _u19978) = _u19978) | ~hBOOL(hAPP(_u19976, skolem495(_u19978, _u19976, _u19974))) )).
% 13.06/13.34 cnf(matrix-7878, plain, ( ~class_Orderings_Olinorder(_u19979) | hBOOL(hAPP(_u19980, _u19981)) | ( hAPP(c_List_Ofilter(_u19982, _u19980), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19982, _u19979, _u19983), _u19981), _u19984)) = hAPP(c_List_Ofilter(_u19982, _u19980), _u19984)) )).
% 13.06/13.34 cnf(matrix-7879, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19985), _u19986)) | hBOOL(hAPP(c_List_Odistinct(_u19985), hAPP(c_List_Ofilter(_u19985, _u19987), _u19986))) )).
% 13.06/13.34 cnf(matrix-7880, plain, ( ( hAPP(c_List_Ofilter(_u19988, _u19989), c_List_Oremove1(_u19988, _u19990, _u19991)) = c_List_Oremove1(_u19988, _u19990, hAPP(c_List_Ofilter(_u19988, _u19989), _u19991))) )).
% 13.06/13.34 cnf(matrix-7881, plain, ( hBOOL(hAPP(_u19992, _u19993)) | ( c_List_Oremove1(_u19994, _u19993, hAPP(c_List_Ofilter(_u19994, _u19992), _u19995)) = hAPP(c_List_Ofilter(_u19994, _u19992), _u19995)) )).
% 13.06/13.34 cnf(matrix-7882, plain, ( ( hAPP(c_List_Ofilter(_u19996, _u19997), hAPP(c_List_Ofilter(_u19996, _u19998), _u19999)) = hAPP(c_List_Ofilter(_u19996, hAPP(hAPP(c_COMBS(_u19996, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19996), c_fconj), _u19998)), _u19997)), _u19999)) )).
% 13.06/13.34 cnf(matrix-7883, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u20000), tc_List_Olist(_u20000)), c_List_Opartition(_u20000, _u20001, _u20002)) = hAPP(c_List_Ofilter(_u20000, _u20001), _u20002)) )).
% 13.06/13.34 cnf(matrix-7884, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20003)), hAPP(c_List_Ofilter(_u20003, _u20004), _u20005))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20003)), hAPP(c_List_Ofilter(_u20003, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20003), c_fNot), _u20004)), _u20005))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20003)), _u20005)) )).
% 13.06/13.34 cnf(matrix-7885, plain, ( ~hBOOL(hAPP(_u20010, _u20012)) | ( hAPP(c_List_Ofilter(_u20014, _u20010), hAPP(hAPP(c_List_Olist_OCons(_u20014), _u20012), _u20016)) = hAPP(hAPP(c_List_Olist_OCons(_u20014), _u20012), hAPP(c_List_Ofilter(_u20014, _u20010), _u20016))) )).
% 13.06/13.34 cnf(matrix-7886, plain, ( hBOOL(hAPP(_u20011, _u20013)) | ( hAPP(c_List_Ofilter(_u20015, _u20011), hAPP(hAPP(c_List_Olist_OCons(_u20015), _u20013), _u20017)) = hAPP(c_List_Ofilter(_u20015, _u20011), _u20017)) )).
% 13.06/13.34 cnf(matrix-7887, plain, ( ( hAPP(c_List_Ofilter(_u20018, _u20019), hAPP(hAPP(c_List_Oappend(_u20018), _u20020), _u20021)) = hAPP(hAPP(c_List_Oappend(_u20018), hAPP(c_List_Ofilter(_u20018, _u20019), _u20020)), hAPP(c_List_Ofilter(_u20018, _u20019), _u20021))) )).
% 13.06/13.34 cnf(matrix-7888, plain, ( ( c_List_Opartition(_u20022, _u20023, _u20024) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20022), tc_List_Olist(_u20022)), hAPP(c_List_Ofilter(_u20022, _u20023), _u20024)), hAPP(c_List_Ofilter(_u20022, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20022, c_fNot), _u20023)), _u20024))) )).
% 13.06/13.34 cnf(matrix-7889, plain, ( ( hAPP(c_List_Ofilter(_u20025, _u20026), hAPP(hAPP(c_List_Omap(_u20027, _u20025), _u20028), _u20029)) = hAPP(hAPP(c_List_Omap(_u20027, _u20025), _u20028), hAPP(c_List_Ofilter(_u20027, hAPP(c_Fun_Ocomp(_u20025, tc_HOL_Obool, _u20027, _u20026), _u20028)), _u20029))) )).
% 13.06/13.34 cnf(matrix-7890, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u20030), tc_List_Olist(_u20030)), c_List_Opartition(_u20030, _u20031, _u20032)) = hAPP(c_List_Ofilter(_u20030, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u20030, c_fNot), _u20031)), _u20032)) )).
% 13.06/13.34 cnf(matrix-7891, plain, ( ( hAPP(c_List_Oset(_u20033), hAPP(c_List_Ofilter(_u20033, _u20034), _u20035)) = hAPP(c_Set_OCollect(_u20033), hAPP(hAPP(c_COMBS(_u20033, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20033), c_fconj), hAPP(hAPP(c_COMBC(_u20033, tc_fun(_u20033, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20033)), hAPP(c_List_Oset(_u20033), _u20035)))), _u20034))) )).
% 13.06/13.34 cnf(matrix-7892, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20036)), hAPP(c_List_Ofilter(_u20036, _u20037), hAPP(hAPP(c_List_Omap(_u20038, _u20036), _u20039), _u20040))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20038)), hAPP(c_List_Ofilter(_u20038, hAPP(c_Fun_Ocomp(_u20036, tc_HOL_Obool, _u20038, _u20037), _u20039)), _u20040))) )).
% 13.06/13.34 cnf(matrix-7893, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20041), _u20042), hAPP(c_List_Oset(_u20041), _u20043))) | hBOOL(hAPP(_u20044, _u20042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20041)), hAPP(c_List_Ofilter(_u20041, _u20044), _u20043))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20041)), _u20043))) )).
% 13.06/13.34 cnf(matrix-7894, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20045, tc_HOL_Obool)), hAPP(c_List_Oset(_u20045), _u20046)), hAPP(hAPP(c_Set_Oinsert(_u20045), _u20047), c_Orderings_Obot__class_Obot(tc_fun(_u20045, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u20045), hAPP(c_List_Ofilter(_u20045, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20045), c_fNot), hAPP(hAPP(c_COMBC(_u20045, _u20045, tc_HOL_Obool), c_fequal), _u20047))), _u20046))) )).
% 13.06/13.34 cnf(matrix-7895, plain, ( ( c_List_Opartition(_u20050, _u20051, _u20052) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20050), tc_List_Olist(_u20050)), _u20053), _u20054)) | ~hBOOL(hAPP(hAPP(c_member(_u20050), _u20048), hAPP(c_List_Oset(_u20050), _u20053))) | hBOOL(hAPP(_u20051, _u20048)) )).
% 13.06/13.34 cnf(matrix-7896, plain, ( ( c_List_Opartition(_u20050, _u20051, _u20052) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20050), tc_List_Olist(_u20050)), _u20053), _u20054)) | ~hBOOL(hAPP(hAPP(c_member(_u20050), _u20049), hAPP(c_List_Oset(_u20050), _u20054))) | ~hBOOL(hAPP(_u20051, _u20049)) )).
% 13.06/13.34 cnf(matrix-7897, plain, ( ( c_List_Opartition(_u20055, _u20056, c_List_Olist_ONil(_u20055)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20055), tc_List_Olist(_u20055)), c_List_Olist_ONil(_u20055)), c_List_Olist_ONil(_u20055))) )).
% 13.06/13.34 cnf(matrix-7898, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20057), _u20058)) | ( hAPP(c_List_Ofilter(_u20057, hAPP(hAPP(c_COMBC(_u20057, tc_fun(_u20057, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20057)), hAPP(c_List_Oset(_u20057), c_List_Osublist(_u20057, _u20058, _u20059)))), _u20058) = c_List_Osublist(_u20057, _u20058, _u20059)) )).
% 13.06/13.34 cnf(matrix-7899, plain, ( ( c_List_Opartition(_u20060, _u20061, hAPP(hAPP(c_List_Olist_OCons(_u20060), _u20062), _u20063)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20060), tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u20060), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20060), tc_fun(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_fun(tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_List_Olist(_u20060)), c_COMBS(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_List_Olist(_u20060), tc_fun(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_List_Olist(_u20060)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_fun(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_List_Olist(_u20060)), hAPP(c_If(tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), hAPP(_u20061, _u20062)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20060), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_List_Olist(_u20060)), c_Product__Type_OPair(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), hAPP(c_List_Olist_OCons(_u20060), _u20062))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20060), tc_fun(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060))), tc_fun(tc_fun(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_fun(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), tc_List_Olist(_u20060)), c_COMBB(tc_List_Olist(_u20060), tc_prod(tc_List_Olist(_u20060), tc_List_Olist(_u20060)), tc_List_Olist(_u20060))), c_Product__Type_OPair(tc_List_Olist(_u20060), tc_List_Olist(_u20060)))), hAPP(c_List_Olist_OCons(_u20060), _u20062)))), c_List_Opartition(_u20060, _u20061, _u20063))) )).
% 13.06/13.34 cnf(matrix-7900, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20064)), hAPP(c_List_Ofilter(_u20064, _u20065), _u20066)) = 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(_u20064)), _u20066)))), hAPP(hAPP(c_COMBB(_u20064, tc_HOL_Obool, tc_Nat_Onat), _u20065), hAPP(c_List_Onth(_u20064), _u20066)))))) )).
% 13.06/13.34 cnf(matrix-7901, plain, ( ( c_List_Omap__filter(_u20067, _u20068, _u20069, _u20070) = hAPP(hAPP(c_List_Omap(_u20067, _u20068), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u20068), _u20068, _u20067, c_Option_Othe(_u20068)), _u20069)), hAPP(c_List_Ofilter(_u20067, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20067), c_fNot), hAPP(hAPP(c_COMBC(_u20067, tc_Option_Ooption(_u20068), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u20068), tc_fun(tc_Option_Ooption(_u20068), tc_HOL_Obool), _u20067), c_fequal), _u20069)), c_Option_Ooption_ONone(_u20068)))), _u20070))) )).
% 13.06/13.34 cnf(matrix-7902, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u20071), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20071)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20071))), c_List_Otranspose(_u20071, _u20072), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20071))), hAPP(c_List_Ofilter(tc_List_Olist(_u20071), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20071)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20071), tc_List_Olist(_u20071), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20071)))), _u20072))) )).
% 13.06/13.34 cnf(matrix-7903, plain, ( ( hAPP(c_Map_Omap__of(_u20073, _u20074, _u20075), _u20076) != hAPP(c_Option_Ooption_OSome(_u20074), _u20077)) | ~hBOOL(hAPP(hAPP(_u20078, _u20076), _u20077)) | ( hAPP(c_Map_Omap__of(_u20073, _u20074, hAPP(c_List_Ofilter(tc_prod(_u20073, _u20074), hAPP(c_Product__Type_Oprod_Oprod__case(_u20073, _u20074, tc_HOL_Obool), _u20078)), _u20075)), _u20076) = hAPP(c_Option_Ooption_OSome(_u20074), _u20077)) )).
% 13.06/13.34 cnf(matrix-7904, plain, ( ( c_List_Otranspose(_u20079, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20080), tc_List_Olist(_u20079)), hAPP(c_List_Omap(_u20080, _u20079), _u20081)), _u20082)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20080), tc_List_Olist(_u20079)), hAPP(c_List_Omap(_u20080, _u20079), _u20081)), c_List_Otranspose(_u20080, _u20082))) )).
% 13.06/13.34 cnf(matrix-7905, plain, ( ( c_List_Otranspose(_u20083, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20083)), c_List_Olist_ONil(_u20083)), _u20084)) = c_List_Otranspose(_u20083, _u20084)) )).
% 13.06/13.34 cnf(matrix-7906, plain, ( ( c_List_Otranspose(_u20089, _u20091) != c_List_Olist_ONil(tc_List_Olist(_u20089))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20089)), _u20085), hAPP(c_List_Oset(tc_List_Olist(_u20089)), _u20091))) | ( _u20085 = c_List_Olist_ONil(_u20089)) )).
% 13.06/13.34 cnf(matrix-7907, plain, ( ( c_List_Otranspose(_u20090, _u20092) = c_List_Olist_ONil(tc_List_Olist(_u20090))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20090)), skolem496(_u20092, _u20090)), hAPP(c_List_Oset(tc_List_Olist(_u20090)), _u20092))) )).
% 13.06/13.34 cnf(matrix-7908, plain, ( ( c_List_Otranspose(_u20090, _u20092) = c_List_Olist_ONil(tc_List_Olist(_u20090))) | ( skolem496(_u20092, _u20090) != c_List_Olist_ONil(_u20090)) )).
% 13.06/13.34 cnf(matrix-7909, plain, ( ( c_List_Omap__filter(_u20093, _u20094, _u20095, c_List_Olist_ONil(_u20093)) = c_List_Olist_ONil(_u20094)) )).
% 13.06/13.34 cnf(matrix-7910, plain, ( ( c_List_Otranspose(_u20096, c_List_Olist_ONil(tc_List_Olist(_u20096))) = c_List_Olist_ONil(tc_List_Olist(_u20096))) )).
% 13.06/13.34 cnf(matrix-7911, plain, ( ( c_List_Omap__filter(_u20097, _u20098, _u20099, hAPP(hAPP(c_List_Olist_OCons(_u20097), _u20100), _u20101)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u20098), _u20098, c_List_Omap__filter(_u20097, _u20098, _u20099, _u20101), hAPP(hAPP(c_COMBC(_u20098, tc_List_Olist(_u20098), tc_List_Olist(_u20098)), c_List_Olist_OCons(_u20098)), c_List_Omap__filter(_u20097, _u20098, _u20099, _u20101))), hAPP(_u20099, _u20100))) )).
% 13.06/13.34 cnf(matrix-7912, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20102, tc_Nat_Onat), _u20102), c_Product__Type_Ofst(_u20102, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20102, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20102, tc_Nat_Onat)), _u20103), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u20102, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u20102, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u20102, tc_Nat_Onat), _u20104), _u20105))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20102, tc_Nat_Onat), _u20102), c_Product__Type_Ofst(_u20102, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20102, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u20102, tc_Nat_Onat)), _u20103), c_Product__Type_Osnd(_u20102, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u20102, tc_Nat_Onat), _u20104), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u20105))))) )).
% 13.06/13.34 cnf(matrix-7913, plain, ( ( c_Random_Oselect__weight(_u20106, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20106), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20106, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20106, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20106)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20107)) = c_Random_Oselect__weight(_u20106, _u20107)) )).
% 13.06/13.34 cnf(matrix-7914, plain, ( ( c_Random_Opick(_u20108, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u20108), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u20108, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u20108, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u20108)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u20109)) = c_Random_Opick(_u20108, _u20109)) )).
% 13.06/13.34 cnf(matrix-7915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20110), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20111))), c_List_Otranspose(_u20111, _u20112)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20111)), c_List_Otranspose(_u20111, _u20112)), _u20110) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20111), _u20111), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20111), tc_Nat_Onat, _u20111), c_List_Onth(_u20111)), _u20110)), hAPP(c_List_Ofilter(tc_List_Olist(_u20111), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20111)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20110)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20111)))), _u20112))) )).
% 13.06/13.34 cnf(matrix-7916, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20113))), c_List_Otranspose(_u20113, _u20114)) = c_List_Ofoldr(tc_List_Olist(_u20113), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u20113)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20113))), _u20114, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 13.06/13.34 cnf(matrix-7917, plain, ( ( hAPP(hAPP(c_List_Omap(_u20115, _u20116), _u20117), hAPP(c_List_Ofilter(_u20115, _u20118), _u20119)) = c_List_Omap__filter(_u20115, _u20116, hAPP(hAPP(c_COMBC(_u20115, tc_Option_Ooption(_u20116), tc_Option_Ooption(_u20116)), hAPP(hAPP(c_COMBS(_u20115, tc_Option_Ooption(_u20116), tc_fun(tc_Option_Ooption(_u20116), tc_Option_Ooption(_u20116))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u20116), tc_fun(tc_Option_Ooption(_u20116), tc_Option_Ooption(_u20116))), _u20115), c_If(tc_Option_Ooption(_u20116))), _u20118)), hAPP(hAPP(c_COMBB(_u20116, tc_Option_Ooption(_u20116), _u20115), c_Option_Ooption_OSome(_u20116)), _u20117))), c_Option_Ooption_ONone(_u20116)), _u20119)) )).
% 13.06/13.34 cnf(matrix-7918, plain, ( ~class_Orderings_Olinorder(_u20120) | ~hBOOL(hAPP(hAPP(c_member(_u20121), _u20122), hAPP(c_List_Oset(_u20121), _u20123))) | ~c_List_Olinorder__class_Osorted(_u20120, hAPP(hAPP(c_List_Omap(_u20121, _u20120), _u20124), _u20123)) | ( hAPP(c_List_Ohd(_u20121), hAPP(c_List_Ofilter(_u20121, hAPP(hAPP(c_COMBB(_u20120, tc_HOL_Obool, _u20121), hAPP(c_fequal, hAPP(_u20124, _u20122))), _u20124)), _u20123)) != _u20122) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20121, _u20120, _u20124), _u20122), c_List_Oremove1(_u20121, _u20122, _u20123)) = _u20123) )).
% 13.06/13.34 cnf(matrix-7919, plain, ( ( c_List_Osublist(_u20125, _u20126, _u20127) = hAPP(hAPP(c_List_Omap(tc_prod(_u20125, tc_Nat_Onat), _u20125), c_Product__Type_Ofst(_u20125, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20125, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20125, 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(_u20125, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20125, tc_Nat_Onat))), _u20127)), hAPP(hAPP(c_List_Ozip(_u20125, tc_Nat_Onat), _u20126), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20125)), _u20126)))))) )).
% 13.06/13.34 cnf(matrix-7920, plain, ( ~class_Orderings_Olinorder(_u20128) | c_List_Olinorder__class_Osorted(_u20128, c_List_Olist_ONil(_u20128)) )).
% 13.06/13.34 cnf(matrix-7921, plain, ( ~class_Orderings_Olinorder(_u20129) | c_List_Olinorder__class_Osorted(_u20129, hAPP(hAPP(c_List_Olist_OCons(_u20129), _u20130), c_List_Olist_ONil(_u20129))) )).
% 13.06/13.34 cnf(matrix-7922, plain, ( ~class_Orderings_Olinorder(_u20131) | c_List_Olinorder__class_Osorted(_u20131, hAPP(c_List_Ofilter(_u20131, hAPP(hAPP(c_COMBC(_u20131, _u20131, tc_HOL_Obool), c_fequal), hAPP(_u20132, _u20133))), _u20133)) )).
% 13.06/13.34 cnf(matrix-7923, plain, ( ~class_Orderings_Olinorder(_u20134) | c_List_Olinorder__class_Osorted(_u20134, hAPP(hAPP(c_List_Omap(_u20135, _u20134), _u20136), hAPP(c_List_Ofilter(_u20135, hAPP(hAPP(c_COMBC(_u20135, _u20134, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20134, tc_fun(_u20134, tc_HOL_Obool), _u20135), c_fequal), _u20136)), hAPP(_u20137, _u20138))), _u20138))) )).
% 13.06/13.34 cnf(matrix-7924, plain, ( ~class_Orderings_Olinorder(_u20139) | ~c_List_Olinorder__class_Osorted(_u20139, hAPP(hAPP(c_List_Omap(_u20140, _u20139), _u20141), _u20142)) | c_List_Olinorder__class_Osorted(_u20139, hAPP(hAPP(c_List_Omap(_u20140, _u20139), _u20141), hAPP(c_List_Ofilter(_u20140, _u20143), _u20142))) )).
% 13.06/13.34 cnf(matrix-7925, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u20144, _u20145)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20145), _u20144)) )).
% 13.06/13.34 cnf(matrix-7926, plain, ( ( c_List_Oupt(_u20150, _u20152) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20154), _u20156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20150), _u20152)) )).
% 13.06/13.34 cnf(matrix-7927, plain, ( ( c_List_Oupt(_u20150, _u20152) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20154), _u20156)) | ( _u20150 = _u20154) )).
% 13.06/13.34 cnf(matrix-7928, plain, ( ( c_List_Oupt(_u20150, _u20152) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20154), _u20156)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20150), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20152) = _u20156) )).
% 13.06/13.34 cnf(matrix-7929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20151), _u20153)) | ( _u20151 != _u20155) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20151), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20153) != _u20157) | ( c_List_Oupt(_u20151, _u20153) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20155), _u20157)) )).
% 13.06/13.34 cnf(matrix-7930, plain, ( ~class_Orderings_Olinorder(_u20158) | ( _u20159 = c_List_Olist_ONil(_u20158)) | ~c_List_Olinorder__class_Osorted(_u20158, _u20159) | c_List_Olinorder__class_Osorted(_u20158, c_List_Obutlast(_u20158, _u20159)) )).
% 13.06/13.34 cnf(matrix-7931, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20162)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20164))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20162), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20164)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20162)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20162)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20164)))) )).
% 13.06/13.34 cnf(matrix-7932, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20163)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20165))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20163), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u20165)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7933, plain, ( ~class_Orderings_Olinorder(_u20170) | ~c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | c_List_Olinorder__class_Osorted(_u20170, _u20171) )).
% 13.06/13.34 cnf(matrix-7934, plain, ( ~class_Orderings_Olinorder(_u20170) | ~c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | c_List_Olinorder__class_Osorted(_u20170, _u20172) )).
% 13.06/13.34 cnf(matrix-7935, plain, ( ~class_Orderings_Olinorder(_u20170) | ~c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~hBOOL(hAPP(hAPP(c_member(_u20170), _u20167), hAPP(c_List_Oset(_u20170), _u20171))) | ~hBOOL(hAPP(hAPP(c_member(_u20170), _u20166), hAPP(c_List_Oset(_u20170), _u20172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20170), _u20167), _u20166)) )).
% 13.06/13.34 cnf(matrix-7936, plain, ( ~class_Orderings_Olinorder(_u20170) | c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~c_List_Olinorder__class_Osorted(_u20170, _u20171) | ~c_List_Olinorder__class_Osorted(_u20170, _u20172) | hBOOL(hAPP(hAPP(c_member(_u20170), skolem497(_u20172, _u20171, _u20170)), hAPP(c_List_Oset(_u20170), _u20171))) )).
% 13.06/13.34 cnf(matrix-7937, plain, ( ~class_Orderings_Olinorder(_u20170) | c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~c_List_Olinorder__class_Osorted(_u20170, _u20171) | ~c_List_Olinorder__class_Osorted(_u20170, _u20172) | hBOOL(hAPP(hAPP(c_member(_u20170), skolem498(_u20172, _u20171, _u20170)), hAPP(c_List_Oset(_u20170), _u20172))) )).
% 13.06/13.34 cnf(matrix-7938, plain, ( ~class_Orderings_Olinorder(_u20170) | c_List_Olinorder__class_Osorted(_u20170, hAPP(hAPP(c_List_Oappend(_u20170), _u20171), _u20172)) | ~c_List_Olinorder__class_Osorted(_u20170, _u20171) | ~c_List_Olinorder__class_Osorted(_u20170, _u20172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20170), skolem497(_u20172, _u20171, _u20170)), skolem498(_u20172, _u20171, _u20170))) )).
% 13.06/13.34 cnf(matrix-7939, plain, ( ~class_Orderings_Olinorder(_u20175) | ~c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | c_List_Olinorder__class_Osorted(_u20175, _u20177) )).
% 13.06/13.34 cnf(matrix-7940, plain, ( ~class_Orderings_Olinorder(_u20175) | ~c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | ~hBOOL(hAPP(hAPP(c_member(_u20175), _u20173), hAPP(c_List_Oset(_u20175), _u20177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20175), _u20176), _u20173)) )).
% 13.06/13.34 cnf(matrix-7941, plain, ( ~class_Orderings_Olinorder(_u20175) | c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | ~c_List_Olinorder__class_Osorted(_u20175, _u20177) | hBOOL(hAPP(hAPP(c_member(_u20175), skolem499(_u20177, _u20176, _u20175)), hAPP(c_List_Oset(_u20175), _u20177))) )).
% 13.06/13.34 cnf(matrix-7942, plain, ( ~class_Orderings_Olinorder(_u20175) | c_List_Olinorder__class_Osorted(_u20175, hAPP(hAPP(c_List_Olist_OCons(_u20175), _u20176), _u20177)) | ~c_List_Olinorder__class_Osorted(_u20175, _u20177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20175), _u20176), skolem499(_u20177, _u20176, _u20175))) )).
% 13.06/13.34 cnf(matrix-7943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20180), _u20182)) | ( c_List_Oupt(_u20180, hAPP(c_Nat_OSuc, _u20182)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20180, _u20182)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20182), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 13.06/13.34 cnf(matrix-7944, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20181), _u20183)) | ( c_List_Oupt(_u20181, hAPP(c_Nat_OSuc, _u20183)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20184), _u20185)) | ( c_List_Oupt(_u20184, hAPP(c_Nat_OSuc, _u20185)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20184, _u20185)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20185), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 13.06/13.34 cnf(matrix-7946, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20186), _u20187)) | ( c_List_Oupt(_u20186, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20187), _u20188)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u20186, _u20187)), c_List_Oupt(_u20187, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20187), _u20188)))) )).
% 13.06/13.34 cnf(matrix-7947, plain, ( ~class_Orderings_Olinorder(_u20189) | ~c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20190), hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20189), _u20190), _u20191)) )).
% 13.06/13.34 cnf(matrix-7948, plain, ( ~class_Orderings_Olinorder(_u20189) | ~c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20190), hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192))) | c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192)) )).
% 13.06/13.34 cnf(matrix-7949, plain, ( ~class_Orderings_Olinorder(_u20189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20189), _u20190), _u20191)) | ~c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192)) | c_List_Olinorder__class_Osorted(_u20189, hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20190), hAPP(hAPP(c_List_Olist_OCons(_u20189), _u20191), _u20192))) )).
% 13.06/13.34 cnf(matrix-7950, plain, ( ~class_Orderings_Olinorder(_u20193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20193), _u20194), _u20195)) | ~c_List_Olinorder__class_Osorted(_u20193, hAPP(hAPP(c_List_Olist_OCons(_u20193), _u20195), _u20196)) | c_List_Olinorder__class_Osorted(_u20193, hAPP(hAPP(c_List_Olist_OCons(_u20193), _u20194), hAPP(hAPP(c_List_Olist_OCons(_u20193), _u20195), _u20196))) )).
% 13.06/13.34 cnf(matrix-7951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20197), _u20198)), _u20199)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u20198), c_List_Oupt(_u20197, _u20199)) = c_List_Oupt(_u20197, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20197), _u20198))) )).
% 13.06/13.34 cnf(matrix-7952, plain, ( ( c_List_Oupt(_u20202, _u20204) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20204 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20204), _u20202)) )).
% 13.06/13.34 cnf(matrix-7953, plain, ( ( c_List_Oupt(_u20203, _u20205) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u20205 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7954, plain, ( ( c_List_Oupt(_u20203, _u20205) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20205), _u20203)) )).
% 13.06/13.34 cnf(matrix-7955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20206), _u20207)) | ( c_List_Oupt(_u20207, _u20206) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7956, plain, ( ~class_Orderings_Olinorder(_u20208) | ~c_List_Olinorder__class_Osorted(_u20208, _u20209) | c_List_Olinorder__class_Osorted(_u20208, hAPP(hAPP(c_List_Odrop(_u20208), _u20210), _u20209)) )).
% 13.06/13.34 cnf(matrix-7957, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u20211), c_List_Oupt(_u20212, _u20213)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20212), _u20211), _u20213)) )).
% 13.06/13.34 cnf(matrix-7958, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20214), _u20215)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u20214, _u20215)) = _u20214) )).
% 13.06/13.34 cnf(matrix-7959, plain, ( ~class_Orderings_Olinorder(_u20216) | c_List_Olinorder__class_Osorted(_u20216, c_List_Olist_ONil(_u20216)) )).
% 13.06/13.34 cnf(matrix-7960, plain, ( ( c_List_Oupt(_u20217, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7961, plain, ( ~class_Orderings_Olinorder(_u20218) | ~c_List_Olinorder__class_Osorted(_u20218, _u20219) | c_List_Olinorder__class_Osorted(_u20218, hAPP(hAPP(c_List_Otake(_u20218), _u20220), _u20219)) )).
% 13.06/13.34 cnf(matrix-7962, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20221, _u20222)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20221), _u20222)) )).
% 13.06/13.34 cnf(matrix-7963, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20223), _u20224) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20223, _u20224))) )).
% 13.06/13.34 cnf(matrix-7964, plain, ( ~class_Orderings_Olinorder(_u20225) | ~c_List_Olinorder__class_Osorted(_u20225, _u20226) | ~hBOOL(hAPP(c_List_Odistinct(_u20225), _u20226)) | ~c_List_Olinorder__class_Osorted(_u20225, _u20227) | ~hBOOL(hAPP(c_List_Odistinct(_u20225), _u20227)) | ( hAPP(c_List_Oset(_u20225), _u20226) != hAPP(c_List_Oset(_u20225), _u20227)) | ( _u20226 = _u20227) )).
% 13.06/13.34 cnf(matrix-7965, plain, ( ~class_Orderings_Olinorder(_u20228) | ~c_List_Olinorder__class_Osorted(_u20228, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20228, _u20228, c_COMBI(_u20228)), _u20229), _u20230)) | c_List_Olinorder__class_Osorted(_u20228, _u20230) )).
% 13.06/13.34 cnf(matrix-7966, plain, ( ~class_Orderings_Olinorder(_u20228) | ~c_List_Olinorder__class_Osorted(_u20228, _u20230) | c_List_Olinorder__class_Osorted(_u20228, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20228, _u20228, c_COMBI(_u20228)), _u20229), _u20230)) )).
% 13.06/13.34 cnf(matrix-7967, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u20231, _u20232))) )).
% 13.06/13.34 cnf(matrix-7968, plain, ( ~class_Orderings_Olinorder(_u20233) | ~c_List_Olinorder__class_Osorted(_u20233, _u20234) | c_List_Olinorder__class_Osorted(_u20233, c_List_Oremove1(_u20233, _u20235, _u20234)) )).
% 13.06/13.34 cnf(matrix-7969, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u20236, _u20237)) )).
% 13.06/13.34 cnf(matrix-7970, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u20238, _u20239)) )).
% 13.06/13.34 cnf(matrix-7971, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20240), _u20241)) = c_List_Oupt(_u20240, _u20241)) )).
% 13.06/13.34 cnf(matrix-7972, plain, ( ~class_Orderings_Olinorder(_u20242) | ~c_List_Olinorder__class_Osorted(_u20242, _u20243) | c_List_Olinorder__class_Osorted(_u20242, c_List_Olinorder__class_Oinsort__insert__key(_u20242, _u20242, c_COMBI(_u20242), _u20244, _u20243)) )).
% 13.06/13.34 cnf(matrix-7973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20245), _u20246)) | ( c_List_Oupt(_u20245, _u20246) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20245), c_List_Oupt(hAPP(c_Nat_OSuc, _u20245), _u20246))) )).
% 13.06/13.34 cnf(matrix-7974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20249), _u20251)) | ( c_List_Oupt(_u20249, _u20251) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u20249), c_List_Oupt(hAPP(c_Nat_OSuc, _u20249), _u20251))) )).
% 13.06/13.34 cnf(matrix-7975, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20250), _u20252)) | ( c_List_Oupt(_u20250, _u20252) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-7976, plain, ( ~class_Orderings_Olinorder(_u20253) | ~c_List_Olinorder__class_Osorted(_u20253, _u20254) | c_List_Olinorder__class_Osorted(_u20253, hAPP(c_List_Otl(_u20253), _u20254)) )).
% 13.06/13.34 cnf(matrix-7977, plain, ( ~class_Orderings_Olinorder(_u20255) | ~c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20256, _u20255, _u20257), _u20258), _u20259))) | c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), _u20259)) )).
% 13.06/13.34 cnf(matrix-7978, plain, ( ~class_Orderings_Olinorder(_u20255) | ~c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), _u20259)) | c_List_Olinorder__class_Osorted(_u20255, hAPP(hAPP(c_List_Omap(_u20256, _u20255), _u20257), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20256, _u20255, _u20257), _u20258), _u20259))) )).
% 13.06/13.34 cnf(matrix-7979, plain, ( ~class_Orderings_Olinorder(_u20260) | ~c_List_Olinorder__class_Osorted(_u20260, hAPP(hAPP(c_List_Omap(_u20261, _u20260), _u20262), _u20263)) | c_List_Olinorder__class_Osorted(_u20260, hAPP(hAPP(c_List_Omap(_u20261, _u20260), _u20262), c_List_Oremove1(_u20261, _u20264, _u20263))) )).
% 13.06/13.34 cnf(matrix-7980, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u20265, _u20266)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u20265), hAPP(c_Nat_OSuc, _u20266))) )).
% 13.06/13.34 cnf(matrix-7981, plain, ( ~class_Orderings_Olinorder(_u20267) | ~c_List_Olinorder__class_Osorted(_u20267, hAPP(hAPP(c_List_Omap(_u20268, _u20267), _u20269), _u20270)) | c_List_Olinorder__class_Osorted(_u20267, hAPP(hAPP(c_List_Omap(_u20268, _u20267), _u20269), c_List_Olinorder__class_Oinsort__insert__key(_u20268, _u20267, _u20269, _u20271, _u20270))) )).
% 13.06/13.34 cnf(matrix-7982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20272), _u20273)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u20272, _u20273)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20273), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 13.06/13.34 cnf(matrix-7983, plain, ( ~class_Orderings_Olinorder(_u20274) | ~c_List_Olinorder__class_Osorted(_u20274, hAPP(hAPP(c_List_Omap(_u20275, _u20274), _u20276), _u20277)) | ~hBOOL(hAPP(_u20278, _u20279)) | ( hAPP(c_List_Ofilter(_u20275, _u20278), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20275, _u20274, _u20276), _u20279), _u20277)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20275, _u20274, _u20276), _u20279), hAPP(c_List_Ofilter(_u20275, _u20278), _u20277))) )).
% 13.06/13.34 cnf(matrix-7984, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20280), hAPP(c_List_Onth(_u20280), _u20281)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20280)), _u20281))) = _u20281) )).
% 13.06/13.34 cnf(matrix-7985, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u20282, _u20283) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20282, hAPP(c_Nat_OSuc, _u20283)))) )).
% 13.06/13.34 cnf(matrix-7986, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u20284) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20284))) )).
% 13.06/13.34 cnf(matrix-7987, plain, ( ~class_Groups_Ocomm__monoid__add(_u20285) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20285), _u20286), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20287, _u20288))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20285), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20285), _u20286), c_List_Oupt(_u20287, _u20288)))) )).
% 13.06/13.34 cnf(matrix-7988, plain, ( ~class_Groups_Ocomm__monoid__add(_u20289) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20289), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20289), _u20290), c_List_Oupt(_u20291, _u20292))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u20289), _u20290), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u20291, _u20292)))) )).
% 13.06/13.34 cnf(matrix-7989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20293), _u20294)), _u20295)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u20293, _u20295)), _u20294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20293), _u20294)) )).
% 13.06/13.34 cnf(matrix-7990, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u20296, _u20297) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20296), hAPP(c_Nat_OSuc, _u20297)))) )).
% 13.06/13.34 cnf(matrix-7991, plain, ( ~class_Orderings_Olinorder(_u20300) | ~c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | ~hBOOL(hAPP(hAPP(c_member(_u20300), _u20298), hAPP(c_List_Oset(_u20300), _u20302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20300), _u20301), _u20298)) )).
% 13.06/13.34 cnf(matrix-7992, plain, ( ~class_Orderings_Olinorder(_u20300) | ~c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | c_List_Olinorder__class_Osorted(_u20300, _u20302) )).
% 13.06/13.34 cnf(matrix-7993, plain, ( ~class_Orderings_Olinorder(_u20300) | c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | ~c_List_Olinorder__class_Osorted(_u20300, _u20302) | hBOOL(hAPP(hAPP(c_member(_u20300), skolem500(_u20302, _u20301, _u20300)), hAPP(c_List_Oset(_u20300), _u20302))) )).
% 13.06/13.34 cnf(matrix-7994, plain, ( ~class_Orderings_Olinorder(_u20300) | c_List_Olinorder__class_Osorted(_u20300, hAPP(hAPP(c_List_Olist_OCons(_u20300), _u20301), _u20302)) | ~c_List_Olinorder__class_Osorted(_u20300, _u20302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20300), _u20301), skolem500(_u20302, _u20301, _u20300))) )).
% 13.06/13.34 cnf(matrix-7995, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u20303, _u20304) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u20303), _u20304))) )).
% 13.06/13.34 cnf(matrix-7996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20306), _u20307))) | ( hAPP(hAPP(c_List_Onth(_u20308), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20308), _u20309), c_List_Oupt(_u20307, _u20306))), _u20305) = hAPP(_u20309, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20307), _u20305))) )).
% 13.06/13.34 cnf(matrix-7997, plain, ( ~class_Orderings_Olinorder(_u20310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | ( hAPP(c_List_Oset(_u20310), c_List_Olinorder__class_Osorted__list__of__set(_u20310, _u20311)) = _u20311) )).
% 13.06/13.34 cnf(matrix-7998, plain, ( ~class_Orderings_Olinorder(_u20310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | c_List_Olinorder__class_Osorted(_u20310, c_List_Olinorder__class_Osorted__list__of__set(_u20310, _u20311)) )).
% 13.06/13.34 cnf(matrix-7999, plain, ( ~class_Orderings_Olinorder(_u20310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | hBOOL(hAPP(c_List_Odistinct(_u20310), c_List_Olinorder__class_Osorted__list__of__set(_u20310, _u20311))) )).
% 13.06/13.34 cnf(matrix-8000, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u20312) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u20312)))) )).
% 13.06/13.34 cnf(matrix-8001, plain, ( ~class_Orderings_Olinorder(_u20313) | ~hBOOL(hAPP(hAPP(c_member(_u20313), _u20314), hAPP(c_List_Oset(_u20313), _u20315))) | ~c_List_Olinorder__class_Osorted(_u20313, _u20315) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u20313, _u20313, c_COMBI(_u20313)), _u20314), c_List_Oremove1(_u20313, _u20314, _u20315)) = _u20315) )).
% 13.06/13.34 cnf(matrix-8002, plain, ( ~class_Orderings_Olinorder(_u20316) | ~c_List_Olinorder__class_Osorted(_u20316, _u20317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20318), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20319), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20316)), _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20316), hAPP(hAPP(c_List_Onth(_u20316), _u20317), _u20318)), hAPP(hAPP(c_List_Onth(_u20316), _u20317), _u20319))) )).
% 13.06/13.34 cnf(matrix-8003, plain, ( ~class_Orderings_Olinorder(_u20324) | ~c_List_Olinorder__class_Osorted(_u20324, _u20325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20321), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20324)), _u20325))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20320), _u20321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20324), hAPP(hAPP(c_List_Onth(_u20324), _u20325), _u20320)), hAPP(hAPP(c_List_Onth(_u20324), _u20325), _u20321))) )).
% 13.06/13.34 cnf(matrix-8004, plain, ( ~class_Orderings_Olinorder(_u20324) | c_List_Olinorder__class_Osorted(_u20324, _u20325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem501(_u20325, _u20324)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20324)), _u20325))) )).
% 13.06/13.34 cnf(matrix-8005, plain, ( ~class_Orderings_Olinorder(_u20324) | c_List_Olinorder__class_Osorted(_u20324, _u20325) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem502(_u20325, _u20324)), skolem501(_u20325, _u20324))) )).
% 13.06/13.34 cnf(matrix-8006, plain, ( ~class_Orderings_Olinorder(_u20324) | c_List_Olinorder__class_Osorted(_u20324, _u20325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20324), hAPP(hAPP(c_List_Onth(_u20324), _u20325), skolem502(_u20325, _u20324))), hAPP(hAPP(c_List_Onth(_u20324), _u20325), skolem501(_u20325, _u20324)))) )).
% 13.06/13.34 cnf(matrix-8007, plain, ( ~class_Orderings_Olinorder(_u20326) | ~c_Fun_Oinj__on(_u20327, _u20326, _u20328, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20327, tc_HOL_Obool)), hAPP(c_List_Oset(_u20327), _u20329)), hAPP(c_List_Oset(_u20327), _u20330))) | ~c_List_Olinorder__class_Osorted(_u20326, hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20329)) | ~hBOOL(hAPP(c_List_Odistinct(_u20326), hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20329))) | ~c_List_Olinorder__class_Osorted(_u20326, hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20330)) | ~hBOOL(hAPP(c_List_Odistinct(_u20326), hAPP(hAPP(c_List_Omap(_u20327, _u20326), _u20328), _u20330))) | ( hAPP(c_List_Oset(_u20327), _u20329) != hAPP(c_List_Oset(_u20327), _u20330)) | ( _u20329 = _u20330) )).
% 13.06/13.34 cnf(matrix-8008, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u20331, tc_Nat_Onat), _u20331), c_Product__Type_Ofst(_u20331, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20331, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20331, 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(_u20331, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u20331, tc_Nat_Onat))), _u20332)), hAPP(hAPP(c_List_Ozip(_u20331, tc_Nat_Onat), _u20333), c_List_Oupt(_u20334, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20331)), _u20333)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u20331, tc_Nat_Onat), _u20331), c_Product__Type_Ofst(_u20331, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u20331, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u20331, 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(_u20331, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u20331, 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(_u20331, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u20331, tc_Nat_Onat))), _u20334))), _u20332)), hAPP(hAPP(c_List_Ozip(_u20331, tc_Nat_Onat), _u20333), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20331)), _u20333)))))) )).
% 13.06/13.34 cnf(matrix-8009, plain, ( ( _u20336 = c_List_Olist_ONil(tc_List_Olist(_u20337))) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem503(_u20338, _u20337, _u20336)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336))) )).
% 13.06/13.34 cnf(matrix-8010, plain, ( ( _u20336 = c_List_Olist_ONil(tc_List_Olist(_u20337))) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20337)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336), skolem503(_u20338, _u20337, _u20336))) != _u20338) )).
% 13.06/13.34 cnf(matrix-8011, plain, ( ( _u20338 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem503(_u20338, _u20337, _u20336)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336))) )).
% 13.06/13.34 cnf(matrix-8012, plain, ( ( _u20338 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u20337, _u20336) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u20337), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u20337)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u20337)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u20337), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20337), tc_fun(tc_Nat_Onat, _u20337), tc_Nat_Onat), c_List_Onth(_u20337)), hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20337))), _u20336)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20338))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20337)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20337)), _u20336), skolem503(_u20338, _u20337, _u20336))) != _u20338) )).
% 13.06/13.34 cnf(matrix-8013, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20339)), c_List_Otranspose__rel(_u20339)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20339)), c_List_Olist_ONil(_u20339)), _u20340))) | ( c_List_Otranspose(_u20339, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20339)), c_List_Olist_ONil(_u20339)), _u20340)) = c_List_Otranspose(_u20339, _u20340)) )).
% 13.06/13.34 cnf(matrix-8014, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20341)), c_List_Otranspose__rel(_u20341)), c_List_Olist_ONil(tc_List_Olist(_u20341)))) | ( c_List_Otranspose(_u20341, c_List_Olist_ONil(tc_List_Olist(_u20341))) = c_List_Olist_ONil(tc_List_Olist(_u20341))) )).
% 13.06/13.34 cnf(matrix-8015, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20342), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20342))), _u20343))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20344), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20342))), _u20343))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20342), _u20342), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20342), tc_Nat_Onat, _u20342), c_List_Onth(_u20342)), _u20344)), hAPP(c_List_Ofilter(tc_List_Olist(_u20342), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20342)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20344)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20342)))), c_List_Otranspose(_u20342, _u20343))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20342)), _u20343), _u20344)) )).
% 13.06/13.34 cnf(matrix-8016, plain, ( ( c_List_Oconcat(_u20345, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20345), tc_List_Olist(_u20345)), c_List_Olist_Olist__case(tc_List_Olist(_u20345), _u20345, c_List_Olist_ONil(_u20345), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20345), tc_fun(tc_List_Olist(_u20345), tc_List_Olist(_u20345)), _u20345), c_COMBK(tc_List_Olist(_u20345), tc_List_Olist(_u20345))), hAPP(hAPP(c_COMBC(_u20345, tc_List_Olist(_u20345), tc_List_Olist(_u20345)), c_List_Olist_OCons(_u20345)), c_List_Olist_ONil(_u20345))))), _u20346)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20345), _u20345), c_List_Ohd(_u20345)), hAPP(c_List_Ofilter(tc_List_Olist(_u20345), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20345)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20345), tc_List_Olist(_u20345), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20345)))), _u20346))) )).
% 13.06/13.34 cnf(matrix-8017, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u20347), tc_List_Olist(_u20347), c_List_Orev(_u20347), _u20348) )).
% 13.06/13.34 cnf(matrix-8018, plain, ( ( hAPP(c_List_Ofilter(_u20349, _u20350), c_List_Oconcat(_u20349, _u20351)) = c_List_Oconcat(_u20349, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20349), tc_List_Olist(_u20349)), c_List_Ofilter(_u20349, _u20350)), _u20351))) )).
% 13.06/13.34 cnf(matrix-8019, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20352)), c_List_Oconcat(_u20352, _u20353)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20352), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20352))), _u20353))) )).
% 13.06/13.34 cnf(matrix-8020, plain, ( ( hAPP(c_List_Orev(_u20358), _u20360) != hAPP(hAPP(c_List_Olist_OCons(_u20358), _u20362), _u20364)) | ( _u20360 = hAPP(hAPP(c_List_Oappend(_u20358), hAPP(c_List_Orev(_u20358), _u20364)), hAPP(hAPP(c_List_Olist_OCons(_u20358), _u20362), c_List_Olist_ONil(_u20358)))) )).
% 13.06/13.34 cnf(matrix-8021, plain, ( ( _u20361 != hAPP(hAPP(c_List_Oappend(_u20359), hAPP(c_List_Orev(_u20359), _u20365)), hAPP(hAPP(c_List_Olist_OCons(_u20359), _u20363), c_List_Olist_ONil(_u20359)))) | ( hAPP(c_List_Orev(_u20359), _u20361) = hAPP(hAPP(c_List_Olist_OCons(_u20359), _u20363), _u20365)) )).
% 13.06/13.34 cnf(matrix-8022, plain, ( ( hAPP(c_List_Orev(_u20366), hAPP(hAPP(c_List_Olist_OCons(_u20366), _u20367), _u20368)) = hAPP(hAPP(c_List_Oappend(_u20366), hAPP(c_List_Orev(_u20366), _u20368)), hAPP(hAPP(c_List_Olist_OCons(_u20366), _u20367), c_List_Olist_ONil(_u20366)))) )).
% 13.06/13.34 cnf(matrix-8023, plain, ( ( hAPP(c_List_Orev(_u20369), c_List_Olist_ONil(_u20369)) = c_List_Olist_ONil(_u20369)) )).
% 13.06/13.34 cnf(matrix-8024, plain, ( ( c_List_Oconcat(_u20370, c_List_Olist_ONil(tc_List_Olist(_u20370))) = c_List_Olist_ONil(_u20370)) )).
% 13.06/13.34 cnf(matrix-8025, plain, ( ( c_List_Olist_ONil(_u20373) != hAPP(c_List_Orev(_u20373), _u20375)) | ( _u20375 = c_List_Olist_ONil(_u20373)) )).
% 13.06/13.34 cnf(matrix-8026, plain, ( ( _u20376 != c_List_Olist_ONil(_u20374)) | ( c_List_Olist_ONil(_u20374) = hAPP(c_List_Orev(_u20374), _u20376)) )).
% 13.06/13.34 cnf(matrix-8027, plain, ( ( hAPP(c_List_Orev(_u20379), _u20381) != c_List_Olist_ONil(_u20379)) | ( _u20381 = c_List_Olist_ONil(_u20379)) )).
% 13.06/13.34 cnf(matrix-8028, plain, ( ( _u20382 != c_List_Olist_ONil(_u20380)) | ( hAPP(c_List_Orev(_u20380), _u20382) = c_List_Olist_ONil(_u20380)) )).
% 13.06/13.34 cnf(matrix-8029, plain, ( ( c_List_Olist_ONil(_u20387) != c_List_Oconcat(_u20387, _u20389)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20387)), _u20383), hAPP(c_List_Oset(tc_List_Olist(_u20387)), _u20389))) | ( _u20383 = c_List_Olist_ONil(_u20387)) )).
% 13.06/13.34 cnf(matrix-8030, plain, ( ( c_List_Olist_ONil(_u20388) = c_List_Oconcat(_u20388, _u20390)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20388)), skolem504(_u20390, _u20388)), hAPP(c_List_Oset(tc_List_Olist(_u20388)), _u20390))) )).
% 13.06/13.34 cnf(matrix-8031, plain, ( ( c_List_Olist_ONil(_u20388) = c_List_Oconcat(_u20388, _u20390)) | ( skolem504(_u20390, _u20388) != c_List_Olist_ONil(_u20388)) )).
% 13.06/13.34 cnf(matrix-8032, plain, ( ( c_List_Oconcat(_u20395, _u20397) != c_List_Olist_ONil(_u20395)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20395)), _u20391), hAPP(c_List_Oset(tc_List_Olist(_u20395)), _u20397))) | ( _u20391 = c_List_Olist_ONil(_u20395)) )).
% 13.06/13.34 cnf(matrix-8033, plain, ( ( c_List_Oconcat(_u20396, _u20398) = c_List_Olist_ONil(_u20396)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20396)), skolem505(_u20398, _u20396)), hAPP(c_List_Oset(tc_List_Olist(_u20396)), _u20398))) )).
% 13.06/13.34 cnf(matrix-8034, plain, ( ( c_List_Oconcat(_u20396, _u20398) = c_List_Olist_ONil(_u20396)) | ( skolem505(_u20398, _u20396) != c_List_Olist_ONil(_u20396)) )).
% 13.06/13.34 cnf(matrix-8035, plain, ( ( hAPP(c_List_Orev(_u20402), _u20404) != hAPP(hAPP(c_List_Olist_OCons(_u20402), _u20406), c_List_Olist_ONil(_u20402))) | ( _u20404 = hAPP(hAPP(c_List_Olist_OCons(_u20402), _u20406), c_List_Olist_ONil(_u20402))) )).
% 13.06/13.34 cnf(matrix-8036, plain, ( ( _u20405 != hAPP(hAPP(c_List_Olist_OCons(_u20403), _u20407), c_List_Olist_ONil(_u20403))) | ( hAPP(c_List_Orev(_u20403), _u20405) = hAPP(hAPP(c_List_Olist_OCons(_u20403), _u20407), c_List_Olist_ONil(_u20403))) )).
% 13.06/13.34 cnf(matrix-8037, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u20411), _u20413), c_List_Olist_ONil(_u20411)) != hAPP(c_List_Orev(_u20411), _u20415)) | ( _u20415 = hAPP(hAPP(c_List_Olist_OCons(_u20411), _u20413), c_List_Olist_ONil(_u20411))) )).
% 13.06/13.34 cnf(matrix-8038, plain, ( ( _u20416 != hAPP(hAPP(c_List_Olist_OCons(_u20412), _u20414), c_List_Olist_ONil(_u20412))) | ( hAPP(hAPP(c_List_Olist_OCons(_u20412), _u20414), c_List_Olist_ONil(_u20412)) = hAPP(c_List_Orev(_u20412), _u20416)) )).
% 13.06/13.34 cnf(matrix-8039, plain, ( ( c_List_Oconcat(_u20417, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20417)), _u20418), _u20419)) = hAPP(hAPP(c_List_Oappend(_u20417), _u20418), c_List_Oconcat(_u20417, _u20419))) )).
% 13.06/13.34 cnf(matrix-8040, plain, ( ( hAPP(c_List_Orev(_u20420), c_List_Oconcat(_u20420, _u20421)) = c_List_Oconcat(_u20420, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20420), tc_List_Olist(_u20420)), c_List_Orev(_u20420)), hAPP(c_List_Orev(tc_List_Olist(_u20420)), _u20421)))) )).
% 13.06/13.34 cnf(matrix-8041, plain, ( ( hAPP(c_List_Orev(_u20422), hAPP(hAPP(c_List_Omap(_u20423, _u20422), _u20424), _u20425)) = hAPP(hAPP(c_List_Omap(_u20423, _u20422), _u20424), hAPP(c_List_Orev(_u20423), _u20425))) )).
% 13.06/13.34 cnf(matrix-8042, plain, ( ( hAPP(hAPP(c_List_Omap(_u20426, _u20427), _u20428), c_List_Oconcat(_u20426, _u20429)) = c_List_Oconcat(_u20427, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20426), tc_List_Olist(_u20427)), hAPP(c_List_Omap(_u20426, _u20427), _u20428)), _u20429))) )).
% 13.06/13.34 cnf(matrix-8043, plain, ( ( hAPP(c_List_Orev(_u20430), _u20431) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20430), _u20430, hAPP(c_COMBC(_u20430, tc_List_Olist(_u20430), tc_List_Olist(_u20430)), c_List_Olist_OCons(_u20430)), c_List_Olist_ONil(_u20430)), _u20431)) )).
% 13.06/13.34 cnf(matrix-8044, plain, ( ( c_List_Oconcat(_u20432, _u20433) = hAPP(c_List_Ofoldl(tc_List_Olist(_u20432), tc_List_Olist(_u20432), c_List_Oappend(_u20432), c_List_Olist_ONil(_u20432)), _u20433)) )).
% 13.06/13.34 cnf(matrix-8045, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u20434), tc_List_Olist(_u20434), c_List_Oappend(_u20434), _u20435), _u20436) = hAPP(hAPP(c_List_Oappend(_u20434), _u20435), c_List_Oconcat(_u20434, _u20436))) )).
% 13.06/13.34 cnf(matrix-8046, plain, ( ( hAPP(c_List_Orev(_u20437), hAPP(hAPP(c_List_Oappend(_u20437), _u20438), _u20439)) = hAPP(hAPP(c_List_Oappend(_u20437), hAPP(c_List_Orev(_u20437), _u20439)), hAPP(c_List_Orev(_u20437), _u20438))) )).
% 13.06/13.34 cnf(matrix-8047, plain, ( ( c_List_Oconcat(_u20440, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u20440)), _u20441), _u20442)) = hAPP(hAPP(c_List_Oappend(_u20440), c_List_Oconcat(_u20440, _u20441)), c_List_Oconcat(_u20440, _u20442))) )).
% 13.06/13.34 cnf(matrix-8048, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20445), hAPP(c_List_Orev(_u20445), _u20447))) | hBOOL(hAPP(c_List_Odistinct(_u20445), _u20447)) )).
% 13.06/13.34 cnf(matrix-8049, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20446), _u20448)) | hBOOL(hAPP(c_List_Odistinct(_u20446), hAPP(c_List_Orev(_u20446), _u20448))) )).
% 13.06/13.34 cnf(matrix-8050, plain, ( ( hAPP(c_List_Oset(_u20449), c_List_Oconcat(_u20449, _u20450)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20449), tc_fun(_u20449, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20449)), _u20450)), c_List_Oset(_u20449))) )).
% 13.06/13.34 cnf(matrix-8051, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20451)), hAPP(c_List_Orev(_u20451), _u20452)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20451)), _u20452)) )).
% 13.06/13.34 cnf(matrix-8052, plain, ( ~class_Groups_Ocomm__monoid__add(_u20453) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u20453), hAPP(c_List_Orev(_u20453), _u20454)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u20453), _u20454)) )).
% 13.06/13.34 cnf(matrix-8053, plain, ( ( _u20460 = _u20462) | ( hAPP(c_List_Orev(_u20458), _u20460) != hAPP(c_List_Orev(_u20458), _u20462)) )).
% 13.06/13.34 cnf(matrix-8054, plain, ( ( _u20461 != _u20463) | ( hAPP(c_List_Orev(_u20459), _u20461) = hAPP(c_List_Orev(_u20459), _u20463)) )).
% 13.06/13.34 cnf(matrix-8055, plain, ( ( hAPP(c_List_Orev(_u20467), _u20469) != _u20471) | ( _u20469 = hAPP(c_List_Orev(_u20467), _u20471)) )).
% 13.06/13.34 cnf(matrix-8056, plain, ( ( _u20470 != hAPP(c_List_Orev(_u20468), _u20472)) | ( hAPP(c_List_Orev(_u20468), _u20470) = _u20472) )).
% 13.06/13.34 cnf(matrix-8057, plain, ( ( hAPP(c_List_Orev(_u20473), hAPP(c_List_Orev(_u20473), _u20474)) = _u20474) )).
% 13.06/13.34 cnf(matrix-8058, plain, ( ( c_List_Ofoldr(_u20475, _u20476, _u20477, _u20478, _u20479) = hAPP(c_List_Ofoldl(_u20476, _u20475, hAPP(c_COMBC(_u20475, _u20476, _u20476), _u20477), _u20479), hAPP(c_List_Orev(_u20475), _u20478))) )).
% 13.06/13.34 cnf(matrix-8059, plain, ( ( hAPP(c_List_Ofoldl(_u20480, _u20481, _u20482, _u20483), _u20484) = c_List_Ofoldr(_u20481, _u20480, hAPP(c_COMBC(_u20480, _u20481, _u20480), _u20482), hAPP(c_List_Orev(_u20481), _u20484), _u20483)) )).
% 13.06/13.34 cnf(matrix-8060, plain, ( ( hAPP(c_List_Oset(_u20485), hAPP(c_List_Orev(_u20485), _u20486)) = hAPP(c_List_Oset(_u20485), _u20486)) )).
% 13.06/13.34 cnf(matrix-8061, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20487)), _u20488) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20489)), _u20490)) | ( hAPP(hAPP(c_List_Ozip(_u20487, _u20489), hAPP(c_List_Orev(_u20487), _u20488)), hAPP(c_List_Orev(_u20489), _u20490)) = hAPP(c_List_Orev(tc_prod(_u20487, _u20489)), hAPP(hAPP(c_List_Ozip(_u20487, _u20489), _u20488), _u20490))) )).
% 13.06/13.34 cnf(matrix-8062, plain, ( ( hAPP(c_List_Orev(_u20491), hAPP(c_List_Ofilter(_u20491, _u20492), _u20493)) = hAPP(c_List_Ofilter(_u20491, _u20492), hAPP(c_List_Orev(_u20491), _u20493))) )).
% 13.06/13.34 cnf(matrix-8063, plain, ( ( _u20494 = c_List_Olist_ONil(_u20495)) | ( c_List_Olast(_u20495, hAPP(c_List_Orev(_u20495), _u20494)) = hAPP(c_List_Ohd(_u20495), _u20494)) )).
% 13.06/13.34 cnf(matrix-8064, plain, ( ( _u20496 = c_List_Olist_ONil(_u20497)) | ( hAPP(c_List_Ohd(_u20497), hAPP(c_List_Orev(_u20497), _u20496)) = c_List_Olast(_u20497, _u20496)) )).
% 13.06/13.34 cnf(matrix-8065, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20498), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20498))), c_List_Otranspose(_u20498, _u20499)))) )).
% 13.06/13.34 cnf(matrix-8066, plain, ( ( hAPP(c_List_Orev(_u20500), hAPP(hAPP(c_List_Odrop(_u20500), _u20501), _u20502)) = hAPP(hAPP(c_List_Otake(_u20500), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20500)), _u20502)), _u20501)), hAPP(c_List_Orev(_u20500), _u20502))) )).
% 13.06/13.34 cnf(matrix-8067, plain, ( ( hAPP(c_List_Orev(_u20503), hAPP(hAPP(c_List_Otake(_u20503), _u20504), _u20505)) = hAPP(hAPP(c_List_Odrop(_u20503), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20503)), _u20505)), _u20504)), hAPP(c_List_Orev(_u20503), _u20505))) )).
% 13.06/13.34 cnf(matrix-8068, plain, ( ( hAPP(c_List_Orotate(_u20506, _u20507), hAPP(c_List_Orev(_u20506), _u20508)) = hAPP(c_List_Orev(_u20506), hAPP(c_List_Orotate(_u20506, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20506)), _u20508)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u20507, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20506)), _u20508)))), _u20508))) )).
% 13.06/13.34 cnf(matrix-8069, plain, ( ( c_List_Otranspose(_u20509, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20509)), hAPP(hAPP(c_List_Olist_OCons(_u20509), _u20510), _u20511)), _u20512)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20509)), hAPP(hAPP(c_List_Olist_OCons(_u20509), _u20510), c_List_Oconcat(_u20509, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20509), tc_List_Olist(_u20509)), c_List_Olist_Olist__case(tc_List_Olist(_u20509), _u20509, c_List_Olist_ONil(_u20509), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20509), tc_fun(tc_List_Olist(_u20509), tc_List_Olist(_u20509)), _u20509), c_COMBK(tc_List_Olist(_u20509), tc_List_Olist(_u20509))), hAPP(hAPP(c_COMBC(_u20509, tc_List_Olist(_u20509), tc_List_Olist(_u20509)), c_List_Olist_OCons(_u20509)), c_List_Olist_ONil(_u20509))))), _u20512)))), c_List_Otranspose(_u20509, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20509)), _u20511), c_List_Oconcat(tc_List_Olist(_u20509), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20509), tc_List_Olist(tc_List_Olist(_u20509))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20509)), _u20509, c_List_Olist_ONil(tc_List_Olist(_u20509)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20509), tc_List_Olist(tc_List_Olist(_u20509))), _u20509), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20509), tc_List_Olist(tc_List_Olist(_u20509)), tc_List_Olist(tc_List_Olist(_u20509))), c_List_Olist_OCons(tc_List_Olist(_u20509))), c_List_Olist_ONil(tc_List_Olist(_u20509)))))), _u20512)))))) )).
% 13.06/13.34 cnf(matrix-8070, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20513), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20514)), _u20515))) | ( hAPP(hAPP(c_List_Onth(_u20514), hAPP(c_List_Orev(_u20514), _u20515)), _u20513) = hAPP(hAPP(c_List_Onth(_u20514), _u20515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20514)), _u20515)), hAPP(c_Nat_OSuc, _u20513)))) )).
% 13.06/13.34 cnf(matrix-8071, plain, ( ( c_List_Oconcat(_u20517, _u20518) != c_List_Oconcat(_u20517, _u20519)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20518) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20519)) | ( _u20518 = _u20519) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20517), tc_List_Olist(_u20517))), skolem506(_u20519, _u20518, _u20517)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20517), tc_List_Olist(_u20517))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20517), tc_List_Olist(_u20517)), _u20518), _u20519)))) )).
% 13.06/13.34 cnf(matrix-8072, plain, ( ( c_List_Oconcat(_u20517, _u20518) != c_List_Oconcat(_u20517, _u20519)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20518) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20517))), _u20519)) | ( _u20518 = _u20519) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20517), tc_List_Olist(_u20517), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20517), tc_fun(tc_List_Olist(_u20517), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20517), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20517), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20517), tc_HOL_Obool)), tc_List_Olist(_u20517)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20517))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20517)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20517))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20517)))), skolem506(_u20519, _u20518, _u20517))) )).
% 13.06/13.34 cnf(matrix-8073, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), skolem507(_u20523, _u20522, _u20521)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20521), tc_List_Olist(_u20521)), _u20522), _u20523)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( c_List_Oconcat(_u20521, _u20522) != c_List_Oconcat(_u20521, _u20523)) | ( _u20522 = _u20523) )).
% 13.06/13.34 cnf(matrix-8074, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), skolem507(_u20523, _u20522, _u20521)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u20521), tc_List_Olist(_u20521))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u20521), tc_List_Olist(_u20521)), _u20522), _u20523)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( _u20522 != _u20523) | ( c_List_Oconcat(_u20521, _u20522) = c_List_Oconcat(_u20521, _u20523)) )).
% 13.06/13.34 cnf(matrix-8075, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20521), tc_List_Olist(_u20521), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20521), tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), tc_List_Olist(_u20521)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20521))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20521)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521)))), skolem507(_u20523, _u20522, _u20521))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( c_List_Oconcat(_u20521, _u20522) != c_List_Oconcat(_u20521, _u20523)) | ( _u20522 = _u20523) )).
% 13.06/13.34 cnf(matrix-8076, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u20521), tc_List_Olist(_u20521), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20521), tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u20521), tc_Nat_Onat), tc_fun(tc_List_Olist(_u20521), tc_HOL_Obool)), tc_List_Olist(_u20521)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20521))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u20521)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u20521)))), skolem507(_u20523, _u20522, _u20521))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20522) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20521))), _u20523)) | ( _u20522 != _u20523) | ( c_List_Oconcat(_u20521, _u20522) = c_List_Oconcat(_u20521, _u20523)) )).
% 13.06/13.34 cnf(matrix-8077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20524), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20525)), _u20526))) | ( hAPP(c_List_Orev(_u20525), hAPP(hAPP(c_List_Olist__update(_u20525, _u20526), _u20524), _u20527)) = hAPP(hAPP(c_List_Olist__update(_u20525, hAPP(c_List_Orev(_u20525), _u20526)), 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(_u20525)), _u20526)), _u20524)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u20527)) )).
% 13.06/13.34 cnf(matrix-8078, plain, ( ( c_List_Oconcat(_u20528, hAPP(hAPP(c_List_Omap(_u20529, tc_List_Olist(_u20528)), hAPP(hAPP(c_COMBC(_u20529, tc_List_Olist(_u20528), tc_List_Olist(_u20528)), hAPP(hAPP(c_COMBB(_u20528, tc_fun(tc_List_Olist(_u20528), tc_List_Olist(_u20528)), _u20529), c_List_Olist_OCons(_u20528)), _u20530)), c_List_Olist_ONil(_u20528))), _u20531)) = hAPP(hAPP(c_List_Omap(_u20529, _u20528), _u20530), _u20531)) )).
% 13.06/13.34 cnf(matrix-8079, plain, ( ~class_Orderings_Olinorder(_u20532) | ~c_List_Olinorder__class_Osorted(_u20532, hAPP(c_List_Orev(_u20532), _u20533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20534), _u20535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20535), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20532)), _u20533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20532), hAPP(hAPP(c_List_Onth(_u20532), _u20533), _u20535)), hAPP(hAPP(c_List_Onth(_u20532), _u20533), _u20534))) )).
% 13.06/13.34 cnf(matrix-8080, plain, ( ~class_Orderings_Olinorder(_u20536) | ~c_List_Olinorder__class_Osorted(_u20536, hAPP(c_List_Orev(_u20536), _u20537)) | ( _u20537 != c_List_Olist_ONil(_u20536)) | ( c_List_Ofoldr(_u20536, _u20536, c_Orderings_Oord__class_Omax(_u20536), _u20537, _u20538) = _u20538) )).
% 13.06/13.34 cnf(matrix-8081, plain, ( ~class_Orderings_Olinorder(_u20536) | ~c_List_Olinorder__class_Osorted(_u20536, hAPP(c_List_Orev(_u20536), _u20537)) | ( _u20537 = c_List_Olist_ONil(_u20536)) | ( c_List_Ofoldr(_u20536, _u20536, c_Orderings_Oord__class_Omax(_u20536), _u20537, _u20538) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20536), hAPP(hAPP(c_List_Onth(_u20536), _u20537), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20538)) )).
% 13.06/13.34 cnf(matrix-8082, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u20539)), c_List_Otranspose__rel(_u20539)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), hAPP(hAPP(c_List_Olist_OCons(_u20539), _u20540), _u20541)), _u20542))) | ( c_List_Otranspose(_u20539, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), hAPP(hAPP(c_List_Olist_OCons(_u20539), _u20540), _u20541)), _u20542)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), hAPP(hAPP(c_List_Olist_OCons(_u20539), _u20540), c_List_Oconcat(_u20539, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20539), tc_List_Olist(_u20539)), c_List_Olist_Olist__case(tc_List_Olist(_u20539), _u20539, c_List_Olist_ONil(_u20539), hAPP(hAPP(c_COMBB(tc_List_Olist(_u20539), tc_fun(tc_List_Olist(_u20539), tc_List_Olist(_u20539)), _u20539), c_COMBK(tc_List_Olist(_u20539), tc_List_Olist(_u20539))), hAPP(hAPP(c_COMBC(_u20539, tc_List_Olist(_u20539), tc_List_Olist(_u20539)), c_List_Olist_OCons(_u20539)), c_List_Olist_ONil(_u20539))))), _u20542)))), c_List_Otranspose(_u20539, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u20539)), _u20541), c_List_Oconcat(tc_List_Olist(_u20539), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20539), tc_List_Olist(tc_List_Olist(_u20539))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20539)), _u20539, c_List_Olist_ONil(tc_List_Olist(_u20539)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20539), tc_List_Olist(tc_List_Olist(_u20539))), _u20539), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20539), tc_List_Olist(tc_List_Olist(_u20539)), tc_List_Olist(tc_List_Olist(_u20539))), c_List_Olist_OCons(tc_List_Olist(_u20539))), c_List_Olist_ONil(tc_List_Olist(_u20539)))))), _u20542)))))) )).
% 13.06/13.34 cnf(matrix-8083, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20543), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20543))), _u20544))) | ( _u20544 != c_List_Olist_ONil(tc_List_Olist(_u20543))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20543))), c_List_Otranspose(_u20543, _u20544)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 13.06/13.34 cnf(matrix-8084, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20543), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20543))), _u20544))) | ( _u20544 = c_List_Olist_ONil(tc_List_Olist(_u20543))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20543))), c_List_Otranspose(_u20543, _u20544)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20543)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20543)), _u20544), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 13.06/13.34 cnf(matrix-8085, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20545), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20545))), _u20546))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20547), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20545))), _u20546))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20545))), hAPP(c_List_Ofilter(tc_List_Olist(_u20545), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20545)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20547)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20545)))), c_List_Otranspose(_u20545, _u20546))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20545)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20545)), _u20546), _u20547))) )).
% 13.06/13.34 cnf(matrix-8086, plain, ( ( c_List_Oconcat(tc_List_Olist(_u20548), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20548), tc_List_Olist(tc_List_Olist(_u20548))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u20548)), _u20548, c_List_Olist_ONil(tc_List_Olist(_u20548)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u20548), tc_List_Olist(tc_List_Olist(_u20548))), _u20548), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20548), tc_List_Olist(tc_List_Olist(_u20548)), tc_List_Olist(tc_List_Olist(_u20548))), c_List_Olist_OCons(tc_List_Olist(_u20548))), c_List_Olist_ONil(tc_List_Olist(_u20548)))))), _u20549)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20548), tc_List_Olist(_u20548)), c_List_Otl(_u20548)), hAPP(c_List_Ofilter(tc_List_Olist(_u20548), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20548)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20548), tc_List_Olist(_u20548), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20548)))), _u20549))) )).
% 13.06/13.34 cnf(matrix-8087, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20550), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20550))), _u20551))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20552), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20550))), c_List_Otranspose(_u20550, _u20551)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20553), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u20550))), hAPP(c_List_Ofilter(tc_List_Olist(_u20550), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u20550)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20552)), c_Nat_Osize__class_Osize(tc_List_Olist(_u20550)))), _u20551)))) | ( hAPP(hAPP(c_List_Onth(_u20550), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20550)), c_List_Otranspose(_u20550, _u20551)), _u20552)), _u20553) = hAPP(hAPP(c_List_Onth(_u20550), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u20550)), _u20551), _u20553)), _u20552)) )).
% 13.06/13.34 cnf(matrix-8088, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u20554), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u20554))), _u20555))) | ( c_List_Otranspose(_u20554, c_List_Otranspose(_u20554, _u20555)) = c_List_OtakeWhile(tc_List_Olist(_u20554), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u20554)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u20554), tc_List_Olist(_u20554), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u20554))), _u20555)) )).
% 13.06/13.34 cnf(matrix-8089, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 13.06/13.34 cnf(matrix-8090, plain, ( ( c_List_OtakeWhile(_u20556, _u20557, hAPP(hAPP(c_List_Omap(_u20558, _u20556), _u20559), _u20560)) = hAPP(hAPP(c_List_Omap(_u20558, _u20556), _u20559), c_List_OtakeWhile(_u20558, hAPP(c_Fun_Ocomp(_u20556, tc_HOL_Obool, _u20558, _u20557), _u20559), _u20560))) )).
% 13.06/13.34 cnf(matrix-8091, plain, ( ( c_List_Oreturn__list(_u20561) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u20561)) )).
% 13.06/13.34 cnf(matrix-8092, plain, ( ( hAPP(hAPP(c_List_Ozip(_u20562, _u20563), _u20564), c_List_OtakeWhile(_u20563, _u20565, _u20566)) = c_List_OtakeWhile(tc_prod(_u20562, _u20563), hAPP(c_Fun_Ocomp(_u20563, tc_HOL_Obool, tc_prod(_u20562, _u20563), _u20565), c_Product__Type_Osnd(_u20562, _u20563)), hAPP(hAPP(c_List_Ozip(_u20562, _u20563), _u20564), _u20566))) )).
% 13.06/13.34 cnf(matrix-8093, plain, ( ( hAPP(hAPP(c_List_Ozip(_u20567, _u20568), c_List_OtakeWhile(_u20567, _u20569, _u20570)), _u20571) = c_List_OtakeWhile(tc_prod(_u20567, _u20568), hAPP(c_Fun_Ocomp(_u20567, tc_HOL_Obool, tc_prod(_u20567, _u20568), _u20569), c_Product__Type_Ofst(_u20567, _u20568)), hAPP(hAPP(c_List_Ozip(_u20567, _u20568), _u20570), _u20571))) )).
% 13.06/13.34 cnf(matrix-8094, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20572), _u20573), hAPP(c_List_Oset(_u20572), c_List_OtakeWhile(_u20572, _u20574, _u20575)))) | hBOOL(hAPP(hAPP(c_member(_u20572), _u20573), hAPP(c_List_Oset(_u20572), _u20575))) )).
% 13.06/13.34 cnf(matrix-8095, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20572), _u20573), hAPP(c_List_Oset(_u20572), c_List_OtakeWhile(_u20572, _u20574, _u20575)))) | hBOOL(hAPP(_u20574, _u20573)) )).
% 13.06/13.34 cnf(matrix-8096, plain, ( ( c_List_OtakeWhile(_u20581, _u20583, _u20585) != _u20585) | ~hBOOL(hAPP(hAPP(c_member(_u20581), _u20576), hAPP(c_List_Oset(_u20581), _u20585))) | hBOOL(hAPP(_u20583, _u20576)) )).
% 13.06/13.34 cnf(matrix-8097, plain, ( ( c_List_OtakeWhile(_u20582, _u20584, _u20586) = _u20586) | hBOOL(hAPP(hAPP(c_member(_u20582), skolem508(_u20586, _u20584, _u20582)), hAPP(c_List_Oset(_u20582), _u20586))) )).
% 13.06/13.34 cnf(matrix-8098, plain, ( ( c_List_OtakeWhile(_u20582, _u20584, _u20586) = _u20586) | ~hBOOL(hAPP(_u20584, skolem508(_u20586, _u20584, _u20582))) )).
% 13.06/13.34 cnf(matrix-8099, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20587)), c_List_OtakeWhile(_u20587, _u20588, _u20589))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20587)), _u20589))) )).
% 13.06/13.34 cnf(matrix-8100, plain, ( ( c_List_OtakeWhile(_u20590, _u20591, _u20592) = hAPP(hAPP(c_List_Otake(_u20590), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20590)), c_List_OtakeWhile(_u20590, _u20591, _u20592))), _u20592)) )).
% 13.06/13.34 cnf(matrix-8101, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20593), _u20594)) | hBOOL(hAPP(c_List_Odistinct(_u20593), c_List_OtakeWhile(_u20593, _u20595, _u20594))) )).
% 13.06/13.34 cnf(matrix-8102, plain, ( hBOOL(hAPP(_u20596, _u20597)) | ( c_List_OtakeWhile(_u20598, _u20596, hAPP(hAPP(c_List_Oappend(_u20598), _u20599), hAPP(hAPP(c_List_Olist_OCons(_u20598), _u20597), _u20600))) = c_List_OtakeWhile(_u20598, _u20596, _u20599)) )).
% 13.06/13.34 cnf(matrix-8103, plain, ( ~hBOOL(hAPP(_u20605, _u20607)) | ( c_List_OtakeWhile(_u20609, _u20605, hAPP(hAPP(c_List_Olist_OCons(_u20609), _u20607), _u20611)) = hAPP(hAPP(c_List_Olist_OCons(_u20609), _u20607), c_List_OtakeWhile(_u20609, _u20605, _u20611))) )).
% 13.06/13.34 cnf(matrix-8104, plain, ( hBOOL(hAPP(_u20606, _u20608)) | ( c_List_OtakeWhile(_u20610, _u20606, hAPP(hAPP(c_List_Olist_OCons(_u20610), _u20608), _u20612)) = c_List_Olist_ONil(_u20610)) )).
% 13.06/13.34 cnf(matrix-8105, plain, ( ~class_Orderings_Olinorder(_u20613) | ~c_List_Olinorder__class_Osorted(_u20613, _u20614) | c_List_Olinorder__class_Osorted(_u20613, c_List_OtakeWhile(_u20613, _u20615, _u20614)) )).
% 13.06/13.34 cnf(matrix-8106, plain, ( ( c_List_OtakeWhile(_u20616, _u20617, c_List_Olist_ONil(_u20616)) = c_List_Olist_ONil(_u20616)) )).
% 13.06/13.34 cnf(matrix-8107, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20618), _u20619), hAPP(c_List_Oset(_u20618), _u20620))) | hBOOL(hAPP(_u20621, _u20619)) | ( c_List_OtakeWhile(_u20618, _u20621, hAPP(hAPP(c_List_Oappend(_u20618), _u20620), _u20622)) = c_List_OtakeWhile(_u20618, _u20621, _u20620)) )).
% 13.06/13.34 cnf(matrix-8108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20623)), c_List_OtakeWhile(_u20623, _u20624, _u20625))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20623)), _u20625))) | ~hBOOL(hAPP(_u20624, hAPP(hAPP(c_List_Onth(_u20623), _u20625), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20623)), c_List_OtakeWhile(_u20623, _u20624, _u20625))))) )).
% 13.06/13.34 cnf(matrix-8109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20626), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20627)), c_List_OtakeWhile(_u20627, _u20628, _u20629)))) | ( hAPP(hAPP(c_List_Onth(_u20627), c_List_OtakeWhile(_u20627, _u20628, _u20629)), _u20626) = hAPP(hAPP(c_List_Onth(_u20627), _u20629), _u20626)) )).
% 13.06/13.34 cnf(matrix-8110, plain, ( ( c_Map_Omap__upds(_u20630, _u20631, _u20632, _u20633, _u20634) = c_Map_Omap__add(_u20630, _u20631, _u20632, c_Map_Omap__of(_u20630, _u20631, hAPP(c_List_Orev(tc_prod(_u20630, _u20631)), hAPP(hAPP(c_List_Ozip(_u20630, _u20631), _u20633), _u20634))))) )).
% 13.06/13.34 cnf(matrix-8111, plain, ( ( _u20635 = c_List_Olist_ONil(_u20636)) | ~hBOOL(hAPP(c_List_Odistinct(_u20636), _u20635)) | ( c_List_OtakeWhile(_u20636, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20636), c_fNot), hAPP(hAPP(c_COMBC(_u20636, _u20636, tc_HOL_Obool), c_fequal), c_List_Olast(_u20636, _u20635))), _u20635) = c_List_Obutlast(_u20636, _u20635)) )).
% 13.06/13.34 cnf(matrix-8112, plain, ( ~class_Orderings_Olinorder(_u20637) | ~c_List_Olinorder__class_Osorted(_u20637, hAPP(c_List_Orev(_u20637), hAPP(hAPP(c_List_Omap(_u20638, _u20637), _u20639), _u20640))) | ( hAPP(c_List_Ofilter(_u20638, hAPP(hAPP(c_COMBB(_u20637, tc_HOL_Obool, _u20638), hAPP(c_Orderings_Oord__class_Oless(_u20637), _u20641)), _u20639)), _u20640) = c_List_OtakeWhile(_u20638, hAPP(hAPP(c_COMBB(_u20637, tc_HOL_Obool, _u20638), hAPP(c_Orderings_Oord__class_Oless(_u20637), _u20641)), _u20639), _u20640)) )).
% 13.06/13.34 cnf(matrix-8113, plain, ( ~c_List_Onat__list(_u20642) | ( c_List_Oembed__list(c_List_Oreturn__list(_u20642)) = _u20642) )).
% 13.06/13.34 cnf(matrix-8114, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20643)), c_List_Oremdups(_u20643, c_List_Oconcat(_u20643, _u20644))) = hAPP(c_Finite__Set_Ocard(_u20643), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u20643), tc_fun(_u20643, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u20643)), _u20644)), c_List_Oset(_u20643)))) )).
% 13.06/13.34 cnf(matrix-8115, plain, ( hBOOL(hAPP(c_List_Odistinct(_u20645), c_List_Oremdups(_u20645, _u20646))) )).
% 13.06/13.34 cnf(matrix-8116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20647)), c_List_Oremdups(_u20647, _u20648))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20647)), _u20648))) )).
% 13.06/13.34 cnf(matrix-8117, plain, ( ( c_List_Oremdups(_u20649, hAPP(hAPP(c_List_Omap(_u20650, _u20649), _u20651), c_List_Oremdups(_u20650, _u20652))) = c_List_Oremdups(_u20649, hAPP(hAPP(c_List_Omap(_u20650, _u20649), _u20651), _u20652))) )).
% 13.06/13.34 cnf(matrix-8118, plain, ( ( c_List_Oembed__list(_u20653) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u20653)) )).
% 13.06/13.34 cnf(matrix-8119, plain, ( ( hAPP(c_List_Oset(_u20654), c_List_Oremdups(_u20654, _u20655)) = hAPP(c_List_Oset(_u20654), _u20655)) )).
% 13.06/13.34 cnf(matrix-8120, plain, ( ( c_List_Oremdups(_u20656, c_List_Olist_ONil(_u20656)) = c_List_Olist_ONil(_u20656)) )).
% 13.06/13.34 cnf(matrix-8121, plain, ( ( c_List_Olist_ONil(_u20659) != c_List_Oremdups(_u20659, _u20661)) | ( _u20661 = c_List_Olist_ONil(_u20659)) )).
% 13.06/13.34 cnf(matrix-8122, plain, ( ( _u20662 != c_List_Olist_ONil(_u20660)) | ( c_List_Olist_ONil(_u20660) = c_List_Oremdups(_u20660, _u20662)) )).
% 13.06/13.34 cnf(matrix-8123, plain, ( ( c_List_Oremdups(_u20665, _u20667) != c_List_Olist_ONil(_u20665)) | ( _u20667 = c_List_Olist_ONil(_u20665)) )).
% 13.06/13.34 cnf(matrix-8124, plain, ( ( _u20668 != c_List_Olist_ONil(_u20666)) | ( c_List_Oremdups(_u20666, _u20668) = c_List_Olist_ONil(_u20666)) )).
% 13.06/13.34 cnf(matrix-8125, plain, ( ~class_Orderings_Olinorder(_u20669) | ~c_List_Olinorder__class_Osorted(_u20669, _u20670) | c_List_Olinorder__class_Osorted(_u20669, c_List_Oremdups(_u20669, _u20670)) )).
% 13.06/13.34 cnf(matrix-8126, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20671), _u20672)) | ( c_List_Oremove1(_u20671, _u20673, c_List_Oremdups(_u20671, _u20672)) = c_List_Oremdups(_u20671, c_List_Oremove1(_u20671, _u20673, _u20672))) )).
% 13.06/13.34 cnf(matrix-8127, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20674), _u20675)) | ( c_List_Oremdups(_u20674, _u20675) = _u20675) )).
% 13.06/13.34 cnf(matrix-8128, plain, ( ( c_List_Oremdups(_u20678, _u20680) != _u20680) | hBOOL(hAPP(c_List_Odistinct(_u20678), _u20680)) )).
% 13.06/13.34 cnf(matrix-8129, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20679), _u20681)) | ( c_List_Oremdups(_u20679, _u20681) = _u20681) )).
% 13.06/13.34 cnf(matrix-8130, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20684)), c_List_Oremdups(_u20684, _u20686)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20684)), _u20686)) | ( c_List_Oremdups(_u20684, _u20686) = _u20686) )).
% 13.06/13.34 cnf(matrix-8131, plain, ( ( c_List_Oremdups(_u20685, _u20687) != _u20687) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20685)), c_List_Oremdups(_u20685, _u20687)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20685)), _u20687)) )).
% 13.06/13.34 cnf(matrix-8132, plain, ( ( c_List_Oremdups(_u20688, c_List_Oremdups(_u20688, _u20689)) = c_List_Oremdups(_u20688, _u20689)) )).
% 13.06/13.34 cnf(matrix-8133, plain, ( ( c_List_Oremdups(_u20690, hAPP(c_List_Ofilter(_u20690, _u20691), _u20692)) = hAPP(c_List_Ofilter(_u20690, _u20691), c_List_Oremdups(_u20690, _u20692))) )).
% 13.06/13.34 cnf(matrix-8134, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20696), _u20698), hAPP(c_List_Oset(_u20696), _u20700))) | ( c_List_Oremdups(_u20696, hAPP(hAPP(c_List_Olist_OCons(_u20696), _u20698), _u20700)) = c_List_Oremdups(_u20696, _u20700)) )).
% 13.06/13.34 cnf(matrix-8135, plain, ( hBOOL(hAPP(hAPP(c_member(_u20697), _u20699), hAPP(c_List_Oset(_u20697), _u20701))) | ( c_List_Oremdups(_u20697, hAPP(hAPP(c_List_Olist_OCons(_u20697), _u20699), _u20701)) = hAPP(hAPP(c_List_Olist_OCons(_u20697), _u20699), c_List_Oremdups(_u20697, _u20701))) )).
% 13.06/13.34 cnf(matrix-8136, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20702)), c_List_Oremdups(_u20702, _u20703)) = hAPP(c_Finite__Set_Ocard(_u20702), hAPP(c_List_Oset(_u20702), _u20703))) )).
% 13.06/13.34 cnf(matrix-8137, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20704, _u20705, _u20706) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20704, _u20705, _u20706), _u20707), hAPP(c_List_Oset(_u20704), _u20708)) = hAPP(c_List_Ofoldl(_u20705, _u20704, hAPP(c_COMBC(_u20704, _u20705, _u20705), _u20706), _u20707), c_List_Oremdups(_u20704, _u20708))) )).
% 13.06/13.34 cnf(matrix-8138, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u20709), _u20710) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u20709)), c_List_Oembed__list(_u20710)))) )).
% 13.06/13.34 cnf(matrix-8139, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20711), _u20712)) | ~hBOOL(hAPP(hAPP(c_member(_u20711), _u20713), hAPP(c_List_Oset(_u20711), _u20712))) | ( c_List_OtakeWhile(_u20711, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20711), c_fNot), hAPP(hAPP(c_COMBC(_u20711, _u20711, tc_HOL_Obool), c_fequal), _u20713)), hAPP(c_List_Orev(_u20711), _u20712)) = hAPP(c_List_Orev(_u20711), hAPP(c_List_Otl(_u20711), c_List_OdropWhile(_u20711, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20711), c_fNot), hAPP(hAPP(c_COMBC(_u20711, _u20711, tc_HOL_Obool), c_fequal), _u20713)), _u20712)))) )).
% 13.06/13.34 cnf(matrix-8140, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20714), _u20715)) | ~hBOOL(hAPP(hAPP(c_member(_u20714), _u20716), hAPP(c_List_Oset(_u20714), _u20715))) | ( c_List_OdropWhile(_u20714, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20714), c_fNot), hAPP(hAPP(c_COMBC(_u20714, _u20714, tc_HOL_Obool), c_fequal), _u20716)), hAPP(c_List_Orev(_u20714), _u20715)) = hAPP(hAPP(c_List_Olist_OCons(_u20714), _u20716), hAPP(c_List_Orev(_u20714), c_List_OtakeWhile(_u20714, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20714), c_fNot), hAPP(hAPP(c_COMBC(_u20714, _u20714, tc_HOL_Obool), c_fequal), _u20716)), _u20715)))) )).
% 13.06/13.34 cnf(matrix-8141, plain, ( ( c_List_OdropWhile(_u20717, _u20718, hAPP(hAPP(c_List_Omap(_u20719, _u20717), _u20720), _u20721)) = hAPP(hAPP(c_List_Omap(_u20719, _u20717), _u20720), c_List_OdropWhile(_u20719, hAPP(c_Fun_Ocomp(_u20717, tc_HOL_Obool, _u20719, _u20718), _u20720), _u20721))) )).
% 13.06/13.34 cnf(matrix-8142, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20722), c_List_OtakeWhile(_u20722, _u20723, _u20724)), c_List_OdropWhile(_u20722, _u20723, _u20724)) = _u20724) )).
% 13.06/13.34 cnf(matrix-8143, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20725)), c_List_OdropWhile(_u20725, _u20726, _u20727))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20725)), _u20727))) )).
% 13.06/13.34 cnf(matrix-8144, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u20728), _u20729)) | hBOOL(hAPP(c_List_Odistinct(_u20728), c_List_OdropWhile(_u20728, _u20730, _u20729))) )).
% 13.06/13.34 cnf(matrix-8145, plain, ( ~hBOOL(hAPP(_u20735, _u20737)) | ( c_List_OdropWhile(_u20739, _u20735, hAPP(hAPP(c_List_Olist_OCons(_u20739), _u20737), _u20741)) = c_List_OdropWhile(_u20739, _u20735, _u20741)) )).
% 13.06/13.34 cnf(matrix-8146, plain, ( hBOOL(hAPP(_u20736, _u20738)) | ( c_List_OdropWhile(_u20740, _u20736, hAPP(hAPP(c_List_Olist_OCons(_u20740), _u20738), _u20742)) = hAPP(hAPP(c_List_Olist_OCons(_u20740), _u20738), _u20742)) )).
% 13.06/13.34 cnf(matrix-8147, plain, ( ~class_Orderings_Olinorder(_u20743) | ~c_List_Olinorder__class_Osorted(_u20743, _u20744) | c_List_Olinorder__class_Osorted(_u20743, c_List_OdropWhile(_u20743, _u20745, _u20744)) )).
% 13.06/13.34 cnf(matrix-8148, plain, ( ( c_List_OdropWhile(_u20746, _u20747, c_List_Olist_ONil(_u20746)) = c_List_Olist_ONil(_u20746)) )).
% 13.06/13.34 cnf(matrix-8149, plain, ( ( c_List_OdropWhile(_u20748, _u20749, _u20750) = c_List_Olist_ONil(_u20748)) | ~hBOOL(hAPP(_u20749, hAPP(c_List_Ohd(_u20748), c_List_OdropWhile(_u20748, _u20749, _u20750)))) )).
% 13.06/13.34 cnf(matrix-8150, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8151, plain, ( ~class_Lattices_Obounded__lattice(_u20751) | class_Lattices_Obounded__lattice(tc_fun(_u20752, _u20751)) )).
% 13.06/13.34 cnf(matrix-8152, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20753) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20754, _u20753)) )).
% 13.06/13.34 cnf(matrix-8153, plain, ( ~class_Lattices_Obounded__lattice(_u20755) | class_Lattices_Obounded__lattice__top(tc_fun(_u20756, _u20755)) )).
% 13.06/13.34 cnf(matrix-8154, plain, ( ~class_Lattices_Obounded__lattice(_u20757) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20758, _u20757)) )).
% 13.06/13.34 cnf(matrix-8155, plain, ( ~class_Lattices_Olattice(_u20759) | class_Lattices_Osemilattice__sup(tc_fun(_u20760, _u20759)) )).
% 13.06/13.34 cnf(matrix-8156, plain, ( ~class_Lattices_Olattice(_u20761) | class_Lattices_Osemilattice__inf(tc_fun(_u20762, _u20761)) )).
% 13.06/13.34 cnf(matrix-8157, plain, ( ~class_Lattices_Odistrib__lattice(_u20763) | class_Lattices_Odistrib__lattice(tc_fun(_u20764, _u20763)) )).
% 13.06/13.34 cnf(matrix-8158, plain, ( ~class_Lattices_Oboolean__algebra(_u20765) | class_Lattices_Oboolean__algebra(tc_fun(_u20766, _u20765)) )).
% 13.06/13.34 cnf(matrix-8159, plain, ( ~class_Orderings_Opreorder(_u20767) | class_Orderings_Opreorder(tc_fun(_u20768, _u20767)) )).
% 13.06/13.34 cnf(matrix-8160, plain, ( ~class_Finite__Set_Ofinite(_u20769) | ~class_Finite__Set_Ofinite(_u20770) | class_Finite__Set_Ofinite(tc_fun(_u20769, _u20770)) )).
% 13.06/13.34 cnf(matrix-8161, plain, ( ~class_Lattices_Olattice(_u20771) | class_Lattices_Olattice(tc_fun(_u20772, _u20771)) )).
% 13.06/13.34 cnf(matrix-8162, plain, ( ~class_Orderings_Oorder(_u20773) | class_Orderings_Oorder(tc_fun(_u20774, _u20773)) )).
% 13.06/13.34 cnf(matrix-8163, plain, ( ~class_Orderings_Otop(_u20775) | class_Orderings_Otop(tc_fun(_u20776, _u20775)) )).
% 13.06/13.34 cnf(matrix-8164, plain, ( ~class_Orderings_Oord(_u20777) | class_Orderings_Oord(tc_fun(_u20778, _u20777)) )).
% 13.06/13.34 cnf(matrix-8165, plain, ( ~class_Orderings_Obot(_u20779) | class_Orderings_Obot(tc_fun(_u20780, _u20779)) )).
% 13.06/13.34 cnf(matrix-8166, plain, ( ~class_Groups_Ouminus(_u20781) | class_Groups_Ouminus(tc_fun(_u20782, _u20781)) )).
% 13.06/13.34 cnf(matrix-8167, plain, ( ~class_Groups_Ominus(_u20783) | class_Groups_Ominus(tc_fun(_u20784, _u20783)) )).
% 13.06/13.34 cnf(matrix-8168, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8169, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8170, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8171, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8172, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8173, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8174, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8175, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8176, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8177, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8178, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8179, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8180, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8181, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8182, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8183, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8184, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8185, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8186, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8187, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8188, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8189, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8190, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8191, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8192, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8193, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8194, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8195, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8196, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8197, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8198, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8199, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8200, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8201, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8202, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8203, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8204, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8205, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8206, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8207, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8208, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8209, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8210, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8211, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8212, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8213, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8214, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8215, plain, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8216, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8217, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8218, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8219, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8220, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8221, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8222, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8223, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8224, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8225, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8226, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8227, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8228, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8229, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8230, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8231, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8232, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8233, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8234, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8235, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8236, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8237, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8238, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8239, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 13.06/13.34 cnf(matrix-8240, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8241, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8242, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8243, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8244, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8245, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8246, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8247, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8248, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8249, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8250, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8251, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8252, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8253, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8254, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8255, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8256, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8257, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8258, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8259, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8260, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8261, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8262, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8263, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8264, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8265, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8266, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8267, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8268, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8269, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8270, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8271, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8272, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8273, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8274, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8275, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8276, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8277, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8278, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8279, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8280, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8281, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8282, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8283, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8284, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8285, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8286, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8287, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 13.06/13.34 cnf(matrix-8288, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8289, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8290, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8291, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8292, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8293, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8294, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8295, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8296, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8297, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8298, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8299, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8300, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8301, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8302, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8303, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 13.06/13.34 cnf(matrix-8304, plain, ( ~class_Finite__Set_Ofinite(_u20785) | ~class_Finite__Set_Ofinite(_u20786) | class_Finite__Set_Ofinite(tc_sum(_u20785, _u20786)) )).
% 13.06/13.34 cnf(matrix-8305, plain, ( ~class_Finite__Set_Ofinite(_u20787) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20787)) )).
% 13.06/13.34 cnf(matrix-8306, plain, ( ~class_Finite__Set_Ofinite(_u20788) | ~class_Finite__Set_Ofinite(_u20789) | class_Finite__Set_Ofinite(tc_prod(_u20788, _u20789)) )).
% 13.06/13.34 cnf(matrix-8307, plain, ( ~class_Smallcheck_Osmall(_u20790) | ~class_Smallcheck_Osmall(_u20791) | class_Smallcheck_Osmall(tc_prod(_u20790, _u20791)) )).
% 13.06/13.34 cnf(matrix-8308, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 13.06/13.34 cnf(matrix-8309, plain, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 13.06/13.34 cnf(matrix-8310, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8311, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8312, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8313, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8314, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8315, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8316, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8317, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8318, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8319, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8320, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8321, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8322, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8323, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8324, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8325, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8326, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8327, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8328, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8329, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8330, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8331, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8332, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8333, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8334, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8335, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8336, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8337, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8338, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8339, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8340, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8341, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8342, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8343, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8344, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8345, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8346, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8347, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8348, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8349, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8350, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 13.06/13.34 cnf(matrix-8351, plain, ( ( hAPP(c_COMBI(_u20792), _u20793) = _u20793) )).
% 13.06/13.34 cnf(matrix-8352, plain, ( ( hAPP(hAPP(c_COMBK(_u20794, _u20795), _u20796), _u20797) = _u20796) )).
% 13.06/13.34 cnf(matrix-8353, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20798, _u20799, _u20800), _u20801), _u20802), _u20803) = hAPP(_u20801, hAPP(_u20802, _u20803))) )).
% 13.06/13.34 cnf(matrix-8354, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20804, _u20805, _u20806), _u20807), _u20808), _u20809) = hAPP(hAPP(_u20807, _u20809), _u20808)) )).
% 13.06/13.34 cnf(matrix-8355, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20810, _u20811, _u20812), _u20813), _u20814), _u20815) = hAPP(hAPP(_u20813, _u20815), hAPP(_u20814, _u20815))) )).
% 13.06/13.34 cnf(matrix-8356, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20816), _u20817)) | ( _u20816 = _u20817) )).
% 13.06/13.34 cnf(matrix-8357, plain, ( ( _u20818 != _u20819) | hBOOL(hAPP(hAPP(c_fequal, _u20818), _u20819)) )).
% 13.06/13.34 cnf(matrix-8358, plain, ( ~hBOOL(c_fFalse) )).
% 13.06/13.34 cnf(matrix-8359, plain, ( hBOOL(c_fTrue) )).
% 13.06/13.34 cnf(matrix-8360, plain, ( ~hBOOL(hAPP(c_fNot, _u20820)) | ~hBOOL(_u20820) )).
% 13.06/13.34 cnf(matrix-8361, plain, ( hBOOL(_u20821) | hBOOL(hAPP(c_fNot, _u20821)) )).
% 13.06/13.34 cnf(matrix-8362, plain, ( ~hBOOL(_u20823) | ~hBOOL(_u20822) | hBOOL(hAPP(hAPP(c_fconj, _u20822), _u20823)) )).
% 13.06/13.34 cnf(matrix-8363, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20824), _u20825)) | hBOOL(_u20824) )).
% 13.06/13.34 cnf(matrix-8364, plain, ( hBOOL(_u20827) | ~hBOOL(hAPP(hAPP(c_fconj, _u20826), _u20827)) )).
% 13.06/13.34 cnf(matrix-8365, plain, ( ~hBOOL(_u20828) | hBOOL(hAPP(hAPP(c_fdisj, _u20828), _u20829)) )).
% 13.06/13.34 cnf(matrix-8366, plain, ( ~hBOOL(_u20830) | hBOOL(hAPP(hAPP(c_fdisj, _u20831), _u20830)) )).
% 13.06/13.34 cnf(matrix-8367, plain, ( hBOOL(_u20833) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20832), _u20833)) | hBOOL(_u20832) )).
% 13.06/13.34 cnf(matrix-8368, plain, ( hBOOL(_u20834) | hBOOL(hAPP(hAPP(c_fimplies, _u20834), _u20835)) )).
% 13.06/13.34 cnf(matrix-8369, plain, ( ~hBOOL(_u20836) | hBOOL(hAPP(hAPP(c_fimplies, _u20837), _u20836)) )).
% 13.06/13.34 cnf(matrix-8370, plain, ( hBOOL(_u20839) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20838), _u20839)) | ~hBOOL(_u20838) )).
% 13.06/13.34 cnf(matrix-8371, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)), _u20840), v_G)) | c_Hoare__Mirabelle_Otriple__valid(t_a, hAPP(c_Nat_OSuc, v_na), _u20840) )).
% 13.06/13.34 cnf(matrix-8372, plain, ( ~v_P(_u20843, _u20842) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, v_pn), _u20842, hAPP(c_Nat_OSuc, v_na), _u20841) | v_Q(_u20843, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, _u20841), hAPP(c_Natural_Ogetlocs, v_s_H))), v_X), hAPP(hAPP(c_Natural_Ogetlocs, _u20841), c_Com_ORes))) )).
% 13.06/13.34 cnf(matrix-8373, plain, ( v_P(v_Z, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, v_s_H), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), v_a(v_s_H))) )).
% 13.06/13.34 cnf(matrix-8374, plain, ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, v_s_H), c_Natural_Onewlocs)), c_Com_Ovname_OLoc(c_Com_OArg)), v_a(v_s_H)), v_na, v_s1) )).
% 13.06/13.34 cnf(matrix-8375, plain, ( ~v_Q(v_Z, hAPP(hAPP(hAPP(c_Natural_Oupdate, hAPP(hAPP(c_Natural_Osetlocs, v_s1), hAPP(c_Natural_Ogetlocs, v_s_H))), v_X), hAPP(hAPP(c_Natural_Ogetlocs, v_s1), c_Com_ORes))) )).
% 13.06/13.34
% 13.06/13.34 % Proof stack:
% 13.06/13.34 cnf(proof-stack, plain,
% 13.06/13.34 proof_stack(
% 13.06/13.34 start(8375),
% 13.06/13.34 left_branch(0, 8372, 2, 2),
% 13.06/13.34 left_branch(0, 8373, 0, 3),
% 13.06/13.34 right_branch(3),
% 13.06/13.34 left_branch(0, 981, 1, 4),
% 13.06/13.34 left_branch(0, 8374, 0, 5),
% 13.06/13.34 right_branch(5),
% 13.06/13.34 right_branch(4),
% 13.06/13.34 right_branch(2)
% 13.06/13.34 )).
% 13.06/13.34 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------